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ue? (a) -15 (b) -1457.5 (c) 18 b What is the fourth biggest value in 14.889, -1, -716, -0.3, -2? -2 What is the third smallest value in -5, 0, 5.75, 6, 2? 2 Which is the fifth biggest value? (a) 0.4 (b) -2 (c) 0.3 (d) 2 (e) 9791/17 b Which is the fifth smallest value? (a) 37 (b) 1 (c) -3/8 (d) -17/15 (e) -2/65 a Which is the biggest value? (a) -0.03 (b) -77 (c) -34/333 (d) -4 a What is the biggest value in 0.2, -9/142, -459, -3/5? 0.2 Which is the second smallest value? (a) 4.4 (b) 6/31 (c) 17 (d) 7/5 d What is the second biggest value in -0.7, 0, 925/14? 0 What is the third smallest value in 0.3, -1, -1248/5, 662? 0.3 Which is the fourth smallest value? (a) 0.4 (b) 11 (c) 640.8 (d) 0.3 c Which is the third biggest value? (a) 75 (b) 0.8 (c) 6706 b What is the third smallest value in -0.04, -7.59, -13.4298? -0.04 What is the sixth smallest value in 14, -3, -3/2, 1, -1/2, 400, -2/7? 14 Which is the second biggest value? (a) -22 (b) 0.2 (c) -27 (d) -0.13 (e) 0.146 e What is the second smallest value in 37598, 4960, 2? 4960 Which is the biggest value? (a) -14.47 (b) -1698 (c) 0.05 (d) -4 (e) -2/15 c Which is the third biggest value? (a) 380 (b) 2533 (c) -0.2 (d) -1/4 c Which is the second biggest value? (a) -2 (b) 32/343 (c) 3 b What is the third biggest value in 4, -2/173, -2514, 1/5, 2, -23? 1/5 Which is the third smallest value? (a) -0.1 (b) -0.3 (c) 5/99901 (d) 2/123 c Which is the biggest value? (a) 0.5 (b) 2/815 (c) 5 (d) 0.3 (e) 3 (f) 357 (g) 0 f Which is the third smallest value? (a) 7 (b) 103/2 (c) 418 (d) 1 b What is the fourth smallest value in -3, 0, -28, 1/14, 3, 0.11, -1.07? 0 Which is the biggest value? (a) -183.926 (b) 4 (c) 9.7 (d) -5 c What is the second smallest value in 187, 0.4, -140561/4? 0.4 What is the fifth biggest value in 1, -2, 2, -2/7, -117/289, 0.4? -117/289 What is the biggest value in -17, -367, -101, -0.2? -0.2 What is the sixth smallest value in -1150, -4, -2, 101, 1, 0.09? 101 Which is the biggest value? (a) -4 (b) 1 (c) -767350 b What is the smallest value in -5.77, 2/11, -4, 3, 4, 0.4? -5.77 What is the seventh biggest value in 28.207, -1, 4/3, 2/9, 2, 20, 0.2? -1 What is the smallest value in 15, 4, 773.7, 5, -4? -4 Which is the fourth smallest value? (a) -4/3 (b) -3 (c) 12/11 (d) -74/3 (e) -15 (f) 2 (g) 1 a Which is the smallest value? (a) -6 (b) 2090/943 (c) 0 a Which is the smallest value? (a) -148 (b) -2 (c) -1/4 (d) -199 (e) -5 d Which is the second smallest value? (a) 134 (b) -30/3877 (c) 2/5 c What is the third biggest value in 5, 6/7, 0.046, 0.02, 0.4? 0.4 Which is the third biggest value? (a) -2/11 (b) 6/11 (c) 1/5 (d) -0.1 (e) 2/133 (f) -0.106 e What is the fourth smallest value in -4, 0.2, 198, -0.0207? 198 Which is the fourth biggest value? (a) -0.007 (b) 0.5 (c) 13/11 (d) 6/11 (e) -0.03 (f) -3 a What is the third biggest value in -423, 186, 3? -423 What is the second biggest value in 34, 17, -6/7, 1/2, -22, 2/25? 17 What is the third smallest value in 0.1, -3/2, -313, -86, 131? -3/2 Which is the smallest value? (a) 881 (b) -4/5 (c) 46 (d) 40 (e) -1/3 b What is the biggest value in 4086/17, 1/2, 2, -2/13? 4086/17 What is the biggest value in 2/353, -2, 1/21, -0.0826? 1/21 What is the second smallest value in 0.6, -2, 133.362, -1/2? -1/2 Which is the fourth biggest value? (a) -15/4 (b) -2/5 (c) -132761 (d) -1/10 c What is the seventh biggest value in 2/11, 3/4, -2/9, -3, 0.2, 3, -301/4227? -3 What is the smallest value in 2, 0.5, 0, -4, 14332, -2/5? -4 Which is the third biggest value? (a) 438 (b) 0.1 (c) -0.2 (d) -2 (e) -4 (f) -34 (g) 1/7 b What is the smallest value in -610906, -0.1, 2/349? -610906 What is the third smallest value in 0, -20, 51, -0.0342, -2, -4/7? -4/7 Which is the seventh smallest value? (a) 0.7 (b) -2/3 (c) -5 (d) 3 (e) 2/5 (f) 1/9 (g) 307 g What is the second biggest value in 4, -0.2, 21765/7, -0.35, 3? 4 Which is the second smallest value? (a) 1/4 (b) -35 (c) 4809770 a What is the biggest value in 3923, 4, -3.282? 3923 What is the second smallest value in -2/7, 0.15, -1549, -7? -7 Which is the fourth smallest value? (a) 0.3 (b) 425 (c) 0 (d) 1/5 (e) 0.05 (f) -1/8 (g) 4 d Which is the biggest value? (a) 2/11 (b) 2.033 (c) 290 (d) 4 (e) 3 c Which is the third biggest value? (a) -9/4 (b) -9414 (c) -2/39 (d) -5 (e) 4 a Which is the second biggest value? (a) -2518 (b) 28/9 (c) 5 (d) -51 b What is the second smallest value in -9, -2/19, 0.1649? -2/19 What is the fourth biggest value in 61607/2, 1/6, 9, 0? 0 What is the biggest value in 8/3, -15, -2/83, -0.3, 0.15, -3/4, 0.3? 8/3 Which is the fourth smallest value? (a) 2.2 (b) 540 (c) -9 (d) -1/4 b What is the smallest value in 3, 1166/307, 2? 2 Which is the fourth smallest value? (a) -4 (b) -5/6 (c) -0.1 (d) 2 (e) 15 (f) -252/13 (g) -2 b What is the fourth smallest value in 4, -135, 7, 5/26, -4? 4 What is the fifth smallest value in 0.01, -51, -5/8, 0.5, 12, -5, -3? 0.01 What is the smallest value in 5, -111, 43208, 2/3, -4? -111 What is the second biggest value in -2, 30, -5, -2/21, 0.003606? 0.003606 What is the fifth smallest value in -756, -1/3, -9, 3, 1187? 1187 Which is the fourth smallest value? (a) 11 (b) -2/31 (c) 4 (d) 1/6 (e) 1.9 (f) 2/7 (g) 0.01 f Which is the fourth biggest value? (a) -2 (b) 1.69 (c) -0.4 (d) -1.6 (e) -2/9 (f) -31 (g) 0 c Which is the second biggest value? (a) -128 (b) 69/7 (c) -2/7 (d) -3 (e) -1/2 c What is the smallest value in -0.7, -79/58, 37, -3? -3 What is the fifth biggest value in -2, -0.5, 5, -3, -0.169, -9197, 2? -2 What is the sixth smallest value in 1, 5, 0.2, -43, -0.3, -821? 5 Which is the fifth biggest value? (a) -2/19 (b) -5 (c) -47 (d) 0.36 (e) 199 c Which is the biggest value? (a) -4/3 (b) -7 (c) -63 (d) 2 (e) 559 e What is the third smallest value in 2/167, 0.9, 4.8, 2/7, 12? 0.9 What is the second smallest value in 3, -10792/21, 5, 85? 3 Which is the third smallest value? (a) -0.06 (b) 164.09 (c) 2/11 (d) 26 d What is the third biggest value in 2/7, -4/11, -29, -1/3, -1/4, 1.62, -2? -1/4 Which is the sixth biggest value? (a) -1/7 (b) 817034 (c) 3/5 (d) -3/2 (e) 1/2 (f) 2 d What is the smallest value in 2/5, 10/9, -7, 209.1? -7 Which is the second smallest value? (a) -0.06 (b) 49 (c) 0.5 (d) 29 (e) -30 a Which is the second biggest value? (a) -0.2 (b) 0.6 (c) 52/33 (d) 8/9 (e) 1 (f) 0.5 (g) -7 e Which is the second biggest value? (a) -0.02 (b) 253 (c) 5/976 c What is the biggest value in 99, 1, -1019, 0.4? 99 Which is the fourth biggest value? (a) -5 (b) 5 (c) -135.372 (d) 4 c Which is the smallest value? (a) -1/4 (b) 1/3 (c) 5 (d) 4/3 (e) 12/11 (f) -2187/4 (g) -1 f What is the fourth smallest value in -3/19, 2/1387, -1/2, 0.017? 0.017 Which is the sixth smallest value? (a) -2 (b) -8 (c) 0.4 (d) 67 (e) 3/2 (f) 5 (g) 1/122 f What is the fifth biggest value in -4, 3, 0.8, -3, 1/43, 10? -3 Which is the third biggest value? (a) 578873/10 (b) 4/3 (c) 3 b Which is the second smallest value? (a) -1/7 (b) -32/5 (c) 104 (d) 3 (e) 4/11 a What is the second biggest value in -144, -0.1, 18, -3, 5, -1.7? 5 Which is the fifth smallest value? (a) -1 (b) 0.2 (c) 63 (d) 2.65 (e) 4 (f) -7 (g) 0 d Which is the smallest value? (a) -4 (b) -2/10285 (c) -0.47 a What is the second smallest value in 0, -26/203, -0.02, -3, 5/6, 0.5? -26/203 Which is the third smallest value? (a) 0.5 (b) -5/2 (c) -176 (d) -5/229 (e) 0.2 (f) -2 f Which is the biggest value? (a) -27 (b) 39.98 (c) 16.53 b What is the fifth smallest value in -83/2, 5, 3, -0.1, 0.4, -1, -0.8? 0.4 What is the third smallest value in 1/20, -0.2, 2/7, -6/11, 2/21, -36? -0.2 Which is the sixth biggest value? (a) 1/6 (b) -2/5 (c) -0.3 (d) -1982 (e) 1 (f) -3/7 d What is the second smallest value in -2/3, -0.5, -17, 0.2, 1, 5, 117? -2/3 Which is the second smallest value? (a) 21.37 (b) 0.075 (c) -4 b Which is the third biggest value? (a) -1628/3 (b) -899 (c) -4 (d) -0.6 (e) -2 c What is the second biggest value in 0.2, 5, 2599, -0.7, -2/63, 0.01, -1/6? 5 Which is the smallest value? (a)
{ "pile_set_name": "DM Mathematics" }
+ 4 = 0. Let s(x) = -x - 2. Let t be s(g). Calculate the highest common divisor of 4 and t. 2 Suppose -y - 20 = -6*y. What is the greatest common divisor of 16 and y? 4 Let j = 37 + -63. Let g = j - -71. What is the highest common divisor of 5 and g? 5 Let f be ((-9)/4)/((-12)/32). Let u = -9 + f. Let n be -3 + 2 + (u - -42). Calculate the greatest common factor of n and 95. 19 Suppose 4*q = -q + 165. Let s = 279 - 276. Calculate the highest common factor of s and q. 3 Suppose 0*x - x = -1, 5*x = 3*n + 29. Let z be (n - 1)*(-2)/3. What is the greatest common divisor of 6 and z? 6 Suppose -2*x - 343 = -5*n, -x = n - 4*x - 66. What is the greatest common divisor of 23 and n? 23 Let a be 9/(9/3) - (-5 + 6). Calculate the highest common factor of 5 and a. 1 Suppose 4*b - 10 = -b. Let c = b - 0. Suppose 0 = c*t - 14 - 8. Calculate the greatest common factor of t and 1. 1 Suppose 2*v = -a + 1 + 8, 5*v = 15. Let l be (-1)/4 + (-257)/(-4). Let t = l - 31. What is the greatest common factor of a and t? 3 Let v be ((-10)/(-6))/(20/180). What is the greatest common factor of 3 and v? 3 Let t = 79 - 74. What is the highest common divisor of 40 and t? 5 Let a be 6/(5 - (-66)/(-15)). Calculate the highest common divisor of a and 25. 5 Let n = 27 - -8. Suppose -2*k + 4 = -10. Calculate the highest common factor of k and n. 7 Let q = -7 - -6. Let k be -2*(-2 - (-5)/q). Calculate the greatest common factor of k and 42. 14 Let b(x) = -x**3 + 2*x**2 + 3*x - 3. Suppose 2*r - 3*r = -2. Let d be b(r). Let u = 33 + 0. Calculate the greatest common divisor of u and d. 3 Let u(i) = -5*i**3 + 5*i**2 + 6*i - 10. Let b(g) = -g**3 - g. Let t(l) = 4*b(l) - u(l). Let r be t(7). Calculate the greatest common divisor of r and 95. 19 Let w = 59 + -41. Let j(n) = -n + 2. Suppose 0*f - 4*p = -4*f + 4, -5*p - 5 = 0. Let z be j(f). What is the highest common factor of w and z? 2 Let j(z) = z**2 + 3*z + 14. Let v be j(10). Calculate the highest common divisor of v and 18. 18 Suppose 36 = 3*t - 2*w, w = 5*t + 3*w - 60. What is the highest common factor of t and 8? 4 Let n = 18 + -28. Let k = -6 - n. Suppose -a + 2*a - 1 = 0. What is the greatest common divisor of k and a? 1 Let l = -45 - -162. Calculate the greatest common factor of 13 and l. 13 Let m be -1 - -102 - (-3 - -6). What is the highest common factor of m and 14? 14 Suppose 4*u - 2*u = 32. What is the greatest common divisor of u and 48? 16 Let z(w) = w + 6. Let r be z(-5). Let d be 5/r + 0 + 2. Let q = 29 + -15. Calculate the highest common divisor of d and q. 7 Let n(d) = 6*d + 4. Let f be n(4). Suppose -9*g = -11*g + 20. Let u be (-150)/(-22) - g/(-55). Calculate the highest common divisor of u and f. 7 Suppose -z - 118 = 3*d - 416, -502 = -5*d + z. Calculate the highest common factor of d and 40. 20 Let u(k) = k**2 - 9*k + 6. Let w(b) = 2*b**2 - 18*b + 13. Let a(t) = 7*u(t) - 3*w(t). Let x be a(10). What is the highest common divisor of x and 104? 13 Let a(u) = 8*u + 4*u + 3 + 8*u. Let c be a(3). Suppose -35 = -t - 4*t. What is the highest common factor of c and t? 7 Suppose 0*g = -3*g - 21. Let s(r) = -r**2 - 8*r + 7. Let u be s(g). What is the greatest common divisor of 28 and u? 14 Suppose -405 = -5*k - 5*t, -3*t = -6*t - 12. Calculate the greatest common factor of 17 and k. 17 Suppose -3*g + 33 = -3. Calculate the greatest common factor of 108 and g. 12 Suppose -8*i = -11*i + 48. Calculate the highest common divisor of i and 112. 16 Suppose 0 = z - 6*z + 30. Let o(r) = 2*r**2 - 8*r + 9. Let a be o(z). Calculate the greatest common divisor of a and 3. 3 Let v = 4 + 10. What is the highest common divisor of 84 and v? 14 Let u = -29 + 18. Let l = 2 - u. What is the highest common divisor of l and 104? 13 Let i(u) = -23*u - 9. Let f be i(-8). What is the greatest common divisor of f and 35? 35 Let p(x) = -2*x**2 + 2*x + 1. Let s be p(0). What is the greatest common factor of s and 1? 1 Let q(c) = c**2 + 3. Let v be q(-6). Let o = 15 - 2. Calculate the greatest common factor of o and v. 13 Let r(f) = -f**3 + 6*f**2 - f - 4. Let g be 2 - 1/2*-2. Let l be r(g). Calculate the highest common divisor of 40 and l. 20 Suppose 0 = -4*z + 2*z + 28. Let r(i) = -3*i - 5 - 17*i - 5. Let m be r(-4). Calculate the highest common factor of z and m. 14 Suppose -5*b - 78 - 52 = -5*f, -5*f - b + 130 = 0. Suppose 73 = -2*a + 203. Calculate the greatest common factor of f and a. 13 Let y be (-1 + 100)*(-1 + 2). Let m(u) = 2*u**2 + 2*u - 3. Let g be m(2). What is the greatest common factor of y and g? 9 Let q(z) = -z**3 - 2*z**2 + 2*z. Let h(c) = 2*c**3 - 1. Suppose 0 = 4*v + 5 - 1. Let n be h(v). Let x be q(n). Calculate the greatest common factor of 15 and x. 3 Suppose 183 = 4*a - 5*l, -3*a - l + 51 = -110. What is the highest common divisor of 52 and a? 52 Let f = 7 + 10. Suppose 23 = 2*k - 11. Calculate the greatest common divisor of k and f. 17 Let z(h) = -h**2 - 12*h - 1. Let n be z(-11). Calculate the highest common divisor of 10 and n. 10 Let o(g) = 3*g**2 - 6*g - 5. Let a be o(5). Let m be (-1)/(-4) + 31/4. Let x = m - 3. Calculate the highest common factor of x and a. 5 Let x(t) = 3*t**2 - 2*t - 6. Let i be x(3). Calculate the highest common divisor of 45 and i. 15 Let s = -5 - -8. Let i = s + 18. Suppose f - 336 = -f. What is the greatest common divisor of f and i? 21 Let o = -13 - -15. Suppose 3*s - o*i = 4, -4*s + 2*i = -2*i. Calculate the highest common factor of s and 44. 4 Let j(r) = 25*r - 12. Let l be j(2). What is the greatest common divisor of l and 19? 19 Let x(w) = -w**2 + 13. Let u be x(0). Calculate the highest common factor of 26 and u. 13 Suppose 12 = 10*b - 9*b. Calculate the highest common factor of 60 and b. 12 Let p be (-2)/(5 + -3 - 3). Suppose -6*y = -p*y - 3*c - 88, 0 = 2*y - 3*c - 38. Calculate the highest common factor of y and 5. 5 Let x be (-6)/(-9)*3/2. Suppose 2*c - 5 + x = 0. Suppose -5*h - c*z = -306, -3*z + 4*z = -h + 63. Calculate the highest common factor of h and 20. 20 Let z be 3/1 + -11 + -11. Let o = 32 + z. Calculate the greatest common factor of o and 13. 13 Let b be (18*-1)/3*-2. Calculate the greatest common factor of 132 and b. 12 Suppose 4*q + 4*n - 44 = 0, 3*q + 3*n = n + 28. Suppose 0 = 3*a - 3 - q. Suppose -a*t = -28 - 287. Calculate the greatest common divisor of 15 and t. 15 Let h = 27 + -7. What is the greatest common divisor of 5 and h? 5 Let f = -8 + 11. Suppose f*n + 20 = 4*n. Calculate the highest common factor of 50 and n. 10 Let i be (-5 - -8)*(-13)/(-1). Calculate the highest common factor of 273 and i. 39 Let o be 24/(0 + (-1)/(-4)). Suppose 0*h + o = 2*h. Suppose 0 = -8*l + 3*l + 30. Calculate the greatest common factor of l and h. 6 Let a(t) = -3*t - 41. Let g be a(-19). What is the highest common divisor of 2 and g? 2 Suppose 14*l - 20 = 13*l. Let h(f) = f**3 - 5*f**2 + 6*f. Let x be 2 - ((-3)/1 - -1). Let k be h(x). Calculate the highest common divisor of l and k. 4 Suppose 7 = -w + 14. Calculate the highest common divisor of 1 and w. 1 Let o be (4 - -2)*2/6. Suppose -6*i - 24 = -o*a - 2*i, 2*i = -a + 16. Let v be 120/21 + 4/a. Calculate the highest common divisor of 2 and v. 2 Let l be (-30)/(-25) - (-3)/(-15). Let f(r) = 12*r**2 + 2*r - 1. Let k be f(l). Calculate the highest common factor of k and 104. 13 Let y be (0 - 2) + (9 - 2). Let u be (-1 - -4) + 370/y. Let p(t) = t**3 - 2*t**2 + 2. Let n be p(3). Calculate the highest common factor of u and n. 11 Suppose -5*m + 4 = -3*m. Let b be 3/(m*3)*14. What is the highest common factor of b and 63? 7 Let t be (2*-5)/((-1)/7). Suppose 11 = -2*x - 4*n - 5, 13 = -x - 3*n. Let f be 0 + t + x + -2. What is the highest common factor of 10 and f? 10 Let r be (-1)/(3 - 176/58). Calculate the highest common divisor of 29 and r. 29 Let a be 280/7*(-5)/(-2). Suppose -q + a = 4*q. Calculate the highest common factor of q and 30. 10 Let t = -31 + 10. Let u = t + 31. Let h be (u - -1)*(3 + -2). Calculate the highest common divisor of h and 88. 11 Let z be 52*(3/2 + -1). What is the highest common divisor of 65 and z? 13 Suppose 2*t - 217 = -4*w + 5, -w - 2*t + 54 = 0. Suppose -274 = -2*q + w. Calculate the highest common divisor of q and 15. 15 Let g(f) = f**3 + 11*f**2 - 3*f + 11. Let p be g(-11). Suppose 15 = 2*o - 7. Calcula
{ "pile_set_name": "DM Mathematics" }
90*y**4 - 5937*y**3 - 4710*y**2 - 264*y = 0. What is y? -11, -4, -1, -2/33, 0 Determine d so that 4*d**3 + 64680*d**2 = 0. -16170, 0 Factor -190771344*u**2 + 55248*u - 4. -4*(6906*u - 1)**2 Let s**2/3 + 256*s/3 + 16159/3 = 0. Calculate s. -143, -113 Find z such that -z**4/3 + 21619*z**3/3 - 51875874*z**2 + 371838632420*z/3 + 8634878875912/3 = 0. -23, 7214 Suppose 3*g**4 + 363*g**3 + 9465*g**2 + 23829*g - 33660 = 0. Calculate g. -85, -33, -4, 1 Factor -5*g**4/2 + 12625*g**3/2 - 4000500*g**2 + 19845000*g. -5*g*(g - 1260)**2*(g - 5)/2 Solve -17956*f**3/7 - 549132*f**2/7 - 558624*f + 4477456/7 = 0. -1058/67, 1 Determine w so that -35912*w**4 - 36046*w**3 + 3446479*w**2/8 + 12863*w/8 + 3/2 = 0. -4, -1/536, 3 Determine n so that -n**2/5 + 872*n/5 - 867 = 0. 5, 867 Solve -38*b**2 - 374*b - 336 = 0. -168/19, -1 Let -j**5/5 + 271*j**4 - 455607*j**3/5 - 2302483*j**2/5 - 646544*j - 277440 = 0. What is j? -3, -1, 680 Factor 2*a**3/11 + 58*a**2/11 + 148*a/11 - 208/11. 2*(a - 1)*(a + 4)*(a + 26)/11 Find r, given that -r**3 - 254635*r**2/2 + 63659*r = 0. -127318, 0, 1/2 Suppose -12*b**4/7 + 1707*b**3/7 - 62154*b**2/7 + 132168*b/7 - 29184/7 = 0. Calculate b. 1/4, 2, 64, 76 Factor 4*n**2 - 125320*n - 375996. 4*(n - 31333)*(n + 3) Factor 3*p**3 + 4089*p**2 - 12294*p. 3*p*(p - 3)*(p + 1366) Factor 5*w**2 - 118010*w + 1651160. 5*(w - 23588)*(w - 14) Find q such that 5*q**2 - 29940*q + 44820180 = 0. 2994 Factor -4*t**2/5 + 612*t/5 - 5184/5. -4*(t - 144)*(t - 9)/5 What is q in 2*q**2/7 + 3736*q/7 = 0? -1868, 0 Factor -u**4/4 + 87*u**3/4 - 101*u**2 - 123*u. -u*(u - 82)*(u - 6)*(u + 1)/4 Factor u**3/7 - 452*u**2/7 + 27255*u/7 - 77724/7. (u - 381)*(u - 68)*(u - 3)/7 Factor 15*n**4 + 84*n**3 - 15*n**2 - 84*n. 3*n*(n - 1)*(n + 1)*(5*n + 28) Factor -2*w**3 + 2724*w**2 + 733278*w + 45315200. -2*(w - 1600)*(w + 119)**2 Factor -3*t**2 - 6459*t. -3*t*(t + 2153) Factor 2*s**3/5 + 4362*s**2/5 + 17424*s/5 + 17416/5. 2*(s + 2)**2*(s + 2177)/5 Factor 3*q**3 + 1872*q**2 + 7452*q + 7440. 3*(q + 2)**2*(q + 620) Suppose -t**3/2 + 1107*t**2/2 - 4386*t - 10990 = 0. What is t? -2, 10, 1099 Suppose -5*s**3 - 322265*s**2 + 644545*s - 322275 = 0. Calculate s. -64455, 1 Solve -4*d**5 - 40*d**4 + 1296*d**3 + 8408*d**2 + 12788*d + 5712 = 0. -21, -4, -1, 17 Solve 2*a**2/7 + 1560*a/7 - 8150 = 0. -815, 35 Solve 32*c**4 - 68*c**3 + 8*c**2 = 0. 0, 1/8, 2 Find w, given that 5*w**2 + 5348640*w + 1430397492480 = 0. -534864 Factor -2*g**5 + 18734*g**4 + 74956*g**3 + 112444*g**2 + 74966*g + 18742. -2*(g - 9371)*(g + 1)**4 Find q such that 2*q**5 - 1632*q**4 - 14916*q**3 + 54520*q**2 - 57774*q + 19800 = 0. -12, 1, 825 Let 8*w**5/3 - 838*w**4/3 + 1430*w**3/3 + 1250*w**2/3 - 1438*w/3 - 412/3 = 0. Calculate w. -1, -1/4, 1, 2, 103 Factor -4*j**2 + 116204*j - 464752. -4*(j - 29047)*(j - 4) Suppose -44*u**3 + 752*u**2 - 1744*u - 2240 = 0. What is u? -10/11, 4, 14 Factor -d**2/2 - 656*d - 372255/2. -(d + 415)*(d + 897)/2 Determine p so that -2*p**5 + 4*p**4 + 106*p**3 + 180*p**2 = 0. -5, -2, 0, 9 Factor 3*s**2 + 3627*s - 138306. 3*(s - 37)*(s + 1246) Solve -t**3/6 + 7*t**2 + 181*t/6 + 23 = 0. -3, -1, 46 Factor -w**3 + 803*w**2 - 179728*w + 7210176. -(w - 376)**2*(w - 51) Let 5*i**5 + 35*i**4 - 2240*i**3 - 9200*i**2 = 0. Calculate i. -23, -4, 0, 20 Determine p so that -3*p**4 - 894*p**3 + 225720*p**2 + 101951454*p + 9010647723 = 0. -209, 329 Factor -4*a**2 + 14556*a - 14552. -4*(a - 3638)*(a - 1) Factor c**5 + 230*c**4 + 1356*c**3 + 2696*c**2 + 1792*c. c*(c + 2)**3*(c + 224) Factor -z**4/4 + 6183*z**3/2 - 129549*z**2 + 1812314*z - 8454264. -(z - 12324)*(z - 14)**3/4 Let -2*f**4 - 4292*f**3 - 12858*f**2 = 0. Calculate f. -2143, -3, 0 Find h such that -5*h**2/2 - 151442*h + 60577/2 = 0. -60577, 1/5 Factor 5*b**4 - 660*b**3 + 650*b**2 + 660*b - 655. 5*(b - 131)*(b - 1)**2*(b + 1) Let -5*d**5 + 320*d**4 - 580*d**3 - 2480*d**2 = 0. Calculate d. -2, 0, 4, 62 Factor 4*g**2 + 16132*g - 1048832. 4*(g - 64)*(g + 4097) Determine x, given that -x**2/3 + 520*x/3 - 1036/3 = 0. 2, 518 Factor 320*g**3 + 244720*g**2 + 1157005*g + 1371800. 5*(g + 760)*(8*g + 19)**2 Factor 94453129690*f**2/3 - 777496*f/3 + 8/15. 2*(485935*f - 2)**2/15 Suppose -2*x**5/9 + 148*x**4/9 + 56*x**3/3 - 148*x**2 - 150*x = 0. What is x? -3, -1, 0, 3, 75 Factor f**2/5 + 28516*f/5 + 203290564/5. (f + 14258)**2/5 Solve 52*m**3/9 + 37244*m**2/9 + 6673120*m/9 + 512656/3 = 0 for m. -358, -3/13 Factor r**3 + 938*r**2 + 70109*r - 71048. (r - 1)*(r + 83)*(r + 856) Factor -j**3 - 490*j**2 + 1972*j - 1976. -(j - 2)**2*(j + 494) Determine n, given that 3*n**4/5 + 216*n**3/5 - 19329*n**2/5 + 283446*n/5 + 645888/5 = 0. -128, -2, 29 Let -2*k**5/3 + 3752*k**4/9 + 1122*k**3 - 3492*k**2 + 17584*k/9 = 0. Calculate k. -14/3, 0, 1, 628 Determine s, given that 2*s**4 + 70*s**3 + 732*s**2 + 2800*s + 3200 = 0. -20, -8, -5, -2 Solve -64*w**4 + 401728*w**3 - 1204788*w**2 + 1129370*w - 313700 = 0. 1/2, 5/4, 6274 Find p such that -75*p**3 + 440*p**2 + 1260*p + 160 = 0. -2, -2/15, 8 Find u such that 2*u**2/5 - 51232*u/5 - 51234/5 = 0. -1, 25617 Factor -2*l**2/5 + 10532*l/5 + 10534/5. -2*(l - 5267)*(l + 1)/5 Find w such that -w**4 - 304134*w**3 - 23123460065*w**2 + 138750188700*w - 115626424500 = 0. -152070, 1, 5 Factor -n**2/8 + 757*n - 1146098. -(n - 3028)**2/8 Find z such that 3*z**3/2 - 41208*z**2 + 565950663*z/2 + 566115507 = 0. -2, 13737 Factor 3*d**4 + 75*d**3 + 72*d**2 - 6144*d - 6144. 3*(d - 8)*(d + 1)*(d + 16)**2 Find r, given that 8704*r**4 - 21120*r**3 + 12576*r**2 - 2872*r + 228 = 0. 1/4, 57/34 Find c, given that 60*c**5/7 + 361911*c**4/7 + 727525521*c**3/7 + 487126615407*c**2/7 - 80134257615*c + 146389091958/7 = 0. -2011, 2/5, 3/4 Suppose 2*q**2 - 406*q + 3860 = 0. Calculate q. 10, 193 Factor 2*q**2/13 + 35792*q/13 - 143200/13. 2*(q - 4)*(q + 17900)/13 Factor q**3 - 1176*q**2 - 9456*q - 18944. (q - 1184)*(q + 4)**2 Factor -m**2/2 + 557*m/2 - 2735. -(m - 547)*(m - 10)/2 Factor a**4/4 + 92*a**3 + 14949*a**2/2 + 228690*a + 9667053/4. (a + 33)**3*(a + 269)/4 Factor -2*x**2/5 - 173694*x/5 - 173692/5. -2*(x + 1)*(x + 86846)/5 Find p such that -2*p**3/17 - 17648*p**2/17 - 52918*p/17 + 70568/17 = 0. -8821, -4, 1 Factor -d**4/5 - 3198*d**3/5 - 2553601*d**2/5 + 1023360*d - 512000. -(d - 1)**2*(d + 1600)**2/5 Suppose -4*x**4 + 100*x**3 = 0. Calculate x. 0, 25 Factor i**4 - 130*i**3 + 844*i**2 + 2082*i + 1107. (i - 123)*(i - 9)*(i + 1)**2 Factor w**2/7 - 459*w/7 - 460/7. (w - 460)*(w + 1)/7 Let -635*a**2 + 1435*a + 2070 = 0. Calculate a. -1, 414/127 Find x such that -2*x**3 + 428*x**2 - 27448*x + 459472 = 0. 26, 94 Factor 5*k**3 + 331745*k**2 - 663505*k + 331755. 5*(k - 1)**2*(k + 66351) Factor 2*n**2/9 + 46*n - 1580. 2*(n - 30)*(n + 237)/9 Find r, given that 2*r**2/9 + 206948*r/9 + 5353434338/9 = 0. -51737 Factor -i**3/2 - 13691*i**2/2 - 23427012*i + 23433858. -(i - 1)*(i + 6846)**2/2 Determine b so that -3*b**3 - 51618*b**2 - 223166067*b - 9719630052 = 0. -8581, -44 Factor -n**2/2 + 393*n/2 + 4130. -(n - 413)*(n + 20)/2 Find f such that 5*f**4 + 15860*f**3 + 16884000*f**2 + 6151950000*f + 127338750000 = 0. -1050, -22 Determine j so that 2*j**4/15 + 454*j**3/15 - 4238*j**2/5 - 9522*j/5 + 13608/5 = 0. -252, -3, 1, 27 Let 19*x**5/7 - 75*x**4/7 - 61*x**3/7 + 263*x**2/7 - 138*x/7 - 8/7 = 0. Calculate x. -2, -1/19, 1, 4 Factor 3*p**2/4 + 145*p - 2288. (p + 208)*(3*p - 44)/4 Factor 3*y**4 + 54*y**3 + 315*y**2 + 696*y + 432. 3*(y + 1)*(y + 4)**2*(y + 9) Let 2*h**3 - 2084*h**2 - 8362*h - 6276 = 0. What is h? -3, -1, 1046 Let 3*d**4/5 + 18357*d**3/5 - 36741*d**2/5 - 91797*d/5 + 110178/5 = 0. Calculate d. -6121, -2, 1, 3 Solve -3*k**2/5 + 76968*k/5 - 493672752/5 = 0. 12828 What is i in -5*i**5/2 + 40*i**4 - 175*i**3/2 - 130*i**2 = 0? -1, 0, 4, 13 Find b, given that 2*b**5/5 + 2642*b**4 + 13208*b**3/5 = 0. -6604, -1, 0 Suppose h**4/7 - 40*h**3/7 - 1209*h**2/7 + 5284*h/7 - 5428/7 = 0. What is h? -23, 2, 59 Suppose -y**3/3 - 21241*y**2/3 - 42473*y - 63705 = 0. What is y? -21235, -3 What is v in 3*v**2 - 3440400*v + 986362680000 = 0? 573400 Factor -5*n**3 + 4915*n**2 - 152720*n + 532560. -5*(n - 951)*(n - 28)*(n - 4) Solve 5*a**4 - 19260*a**3 + 517590*a**2 - 4651020*a + 13942125 = 0 for a. 9, 3825 Find g, given that g**2/5 - 28077*g/5 + 533102/5 = 0. 19, 28058 Let -4*o**4/5 - 4312*o**3/5 +
{ "pile_set_name": "DM Mathematics" }
36936a (base 12) to base 16. -d88c2 What is -2028536 (base 9) in base 6? -35110310 -5839655 (base 11) to base 3 -201012100202020 Convert -1434114232 (base 5) to base 15. -505d97 Convert -1448 (base 14) to base 15. -10e7 -11020022112202 (base 3) to base 15 -2e6a62 What is 4d768 (base 16) in base 3? 121010020102 What is 111030114 (base 6) in base 11? 1153282 What is 144225205 (base 6) in base 8? 13355545 What is 64707 (base 12) in base 9? 221477 Convert -11a8329 (base 11) to base 5. -1013340224 1089659 (base 11) to base 6 104431014 Convert 446702 (base 8) to base 11. a3483 What is 1010100101101111001010 (base 2) in base 7? 32411216 Convert eec8 (base 16) to base 6. 1151000 Convert 13131211331 (base 4) to base 6. 105532325 Convert -170504 (base 8) to base 5. -3434024 What is 11022001122 (base 3) in base 15? 1a108 101012002201 (base 3) to base 16 30f64 What is 73105 (base 15) in base 14? 96cc2 -54563 (base 7) to base 11 -a2a5 -1041606 (base 7) to base 3 -20111102220 What is -334627 (base 8) in base 2? -11011100110010111 525127 (base 8) to base 10 174679 -20331331 (base 6) to base 7 -4664425 Convert -3e96b (base 16) to base 12. -104437 Convert -9253c (base 15) to base 3. -212112212210 130ed (base 16) to base 7 443404 What is -10602552 (base 7) in base 8? -3417251 Convert 131324 (base 7) to base 13. b210 Convert -5300600 (base 9) to base 7. -33044556 Convert 1212111000121 (base 3) to base 4. 3302211223 Convert 224103 (base 8) to base 14. 1d8d5 What is 210000000 (base 3) in base 6? 154513 Convert 107180 (base 9) to base 15. 140c0 1000001110110100111 (base 2) to base 12 11011b What is 44264140 (base 7) in base 8? 16431535 What is -1340761 (base 10) in base 5? -320401021 What is 36453406 (base 7) in base 9? 6113664 What is -1565045 (base 7) in base 4? -311023232 Convert -30bba7 (base 12) to base 15. -1024ca Convert 1520a85 (base 12) to base 16. 413405 Convert 675b (base 16) to base 14. 98dd Convert 10241235 (base 6) to base 16. 497b7 Convert -1561320 (base 7) to base 16. -34e12 What is -443434123 (base 5) in base 16? -1d8d94 -21110002011222 (base 3) to base 12 -13aa52b Convert -4bc0e (base 15) to base 6. -5105535 320021012123 (base 4) to base 10 14717339 What is 100100000010001000100000 (base 2) in base 6? 534243040 -14014153 (base 6) to base 4 -1302130311 What is 17404370 (base 8) in base 3? 21122112212010 Convert -94504 (base 10) to base 13. -34027 Convert 14853 (base 11) to base 9. 31713 168307 (base 10) to base 16 29173 What is 5600692 (base 11) in base 13? 205cc96 -110010011101001010 (base 2) to base 13 -730b5 What is -10d79 (base 16) in base 12? -33b09 1426 (base 11) to base 14 959 43243231 (base 5) to base 16 59fb6 -bea824 (base 15) to base 4 -202231003303 What is 1082718 (base 9) in base 14? 113791 What is 13023031330 (base 4) in base 3? 10112120012001 Convert 39b10 (base 15) to base 11. 116886 Convert 1e570 (base 16) to base 10. 124272 What is -1533466 (base 9) in base 5? -204131230 Convert -53566146 (base 7) to base 8. -21340154 144a02 (base 15) to base 14 1b63c7 -11210202010 (base 3) to base 10 -94584 Convert 3245513 (base 6) to base 3. 22020012000 Convert 2315343 (base 6) to base 7. 1004244 Convert -100001200021212 (base 3) to base 9. -10050255 What is -1240221405 (base 6) in base 9? -30374345 Convert 5121135 (base 6) to base 7. 2034101 1431033 (base 5) to base 10 30143 25421150 (base 7) to base 13 62a572 What is 78729 (base 14) in base 5? 33323043 Convert -2a5c3 (base 16) to base 9. -284005 Convert -52005064 (base 8) to base 13. -2387789 1921518 (base 11) to base 4 30122000201 What is -1839a8 (base 11) in base 15? -58e6e Convert 100001101011010111111 (base 2) to base 11. 694129 Convert 4ac61d (base 15) to base 4. 31223121130 What is -31321012231 (base 4) in base 16? -3791ad -948b (base 13) to base 6 -235112 Convert -41403113 (base 5) to base 7. -2620160 -112120220210 (base 3) to base 16 -461be What is -849475 (base 10) in base 9? -1534231 What is -6324671 (base 9) in base 11? -1a00262 Convert 3231535 (base 10) to base 16. 314f2f What is -2a099a (base 16) in base 11? -1611939 3a3c9 (base 14) to base 3 21021210002 53b27a (base 15) to base 11 2283087 What is 13120204 (base 5) in base 6? 2435113 10121010120 (base 3) to base 11 49222 Convert 11220122001012 (base 3) to base 10. 2610581 What is 459b (base 12) in base 8? 17107 Convert 13023441244 (base 5) to base 9. 32726853 2010102202022 (base 3) to base 10 1130498 Convert 112133031 (base 4) to base 8. 263715 -1027370 (base 8) to base 14 -71cb6 What is 980411 (base 10) in base 3? 1211210212112 Convert 37b7b0 (base 13) to base 14. 26c123 47d558 (base 16) to base 5 2201121142 2311150 (base 6) to base 13 41a69 16060655 (base 7) to base 13 420b1b What is 6b9c3 (base 14) in base 7? 2142433 What is 11111101101011011011 (base 2) in base 9? 1853288 Convert -11715221 (base 8) to base 15. -364068 What is -31431024 (base 5) in base 7? -2151115 What is 46554 (base 10) in base 6? 555310 Convert -12851 (base 13) to base 9. -52132 -15112020 (base 6) to base 11 -327811 What is 285298 (base 10) in base 11? 185392 Convert -101010011221 (base 3) to base 7. -1456420 What is -2203331333 (base 4) in base 6? -22221155 -121835e (base 15) to base 5 -11311102024 Convert 1100011101001010 (base 2) to base 14. 14842 What is -4e57af (base 16) in base 3? -100122211212121 What is -1080 (base 15) in base 6? -24103 1741235 (base 9) to base 13 280526 -579154 (base 11) to base 3 -1201201212102 Convert 636958 (base 13) to base 8. 10703231 -101100101101011110001 (base 2) to base 4 -11211223301 -130010033023 (base 4) to base 13 -16a7aab What is -20589b (base 14) in base 11? -685815 3110203211 (base 4) to base 16 d48e5 What is -88a16a (base 16) in base 9? -17756781 What is 4634514 (base 7) in base 8? 2155255 What is -31a69 (base 11) in base 8? -132713 -20101222222 (base 3) to base 2 -11110110010100100 -121121000210 (base 3) to base 9 -547023 -32102213 (base 6) to base 12 -394969 What is -255204 (base 8) in base 5? -10314313 -79d97 (base 15) to base 4 -1132223221 -108701 (base 11) to base 16 -2a203 What is 1010111110010011100 (base 2) in base 4? 1113302130 What is -13241232 (base 5) in base 10? -133942 -231212323010 (base 4) to base 11 -6826718 11100000101100010101110 (base 2) to base 12 2570a12 Convert -14321717 (base 8) to base 3. -20010021112212 Convert -383712 (base 11) to base 5. -123331014 What is 5035245 (base 6) in base 10? 238349 What is 35a48 (base 15) in base 8? 516074 341021134 (base 5) to base 3 2211021120010 What is 2021112212011 (base 3) in base 11? 758239 Convert 81077 (base 9) to base 11. 37043 What is b6064 (base 12) in base 5? 30113130 Convert -534ac6 (base 15) to base 4. -33013330032 110001111100101 (base 2) to base 15 789d What is 554347 (base 10) in base 9? 1034371 Convert 527463 (base 9) to base 10. 313851 Convert 326203 (base 7) to base 11. 3a126 What is 11200021321 (base 4) in base 9? 2637564 11917b (base 13) to base 6 12555550 What is 1095855 (base 10) in base 13? 2c4a47 What is 23560 (base 13) in base 12? 314a4 What is -12a686 (base 11) in base 3? -101101110201 What is 32410200 (base 5) in base 8? 1040420 -3630737 (base 8) to base 10 -995807 What is 1148103 (base 10) in base 8? 4302307 What is 4247a (base 11) in base 3? 10010202210 -106859 (base 12) to base 14 -6ac97 Convert -23430412 (base 5) to base 4. -311020013 What is 5100a (base 12) in base 16? 19bca Convert -24420363 (base 7) to base 5. -1030034104 Convert -650605 (base 7) to base 16. -1b9fa Convert -223132123 (base 4) to base 3. -100001021101 Convert 424900 (base 12) to base 4. 3333020100 82b681 (base 12) to base 3 10212020221121 What is -4342210 (base 5) in base 16? -123b8 196d1e (base 15) to base 3 2022220111102 What is -553124401 (base 6) in base 8? -45747661 Convert 100000010110101000001010 (base 2) to base 12. 2a101a2 What is -1059aa (base 11) in base 8? -511723 What is 9cc9 (base 16) in base 15? bd5c What is -13431120 (base 5) in base 6? -2553555 -2483386 (base 9) to base 11 -845377 What is 100314330 (base 5) in base 12? 174227 Convert -b356b5 (base 14) to base 3. -102101012001112 Convert -14da6c (base 15) to base 11. -629447 Convert 221021111200 (base 3) to base 13. 14560b What is -323422012 (base 5) in base 9? -2546321 Convert -a5dd97 (bas
{ "pile_set_name": "DM Mathematics" }
. 28 What is 5 times 4102? 20510 -0.3 * 697 -209.1 -0.1 times 5.62 -0.562 Multiply -9 and -2112. 19008 -0.4 times 3956 -1582.4 -5 * -78 390 0.1282*0.2 0.02564 Multiply -60 and -0.219. 13.14 35.42 * -5 -177.1 -0.4*154 -61.6 Multiply 2213 and -0.3. -663.9 0.0655*0.3 0.01965 Calculate -237.3*3. -711.9 Calculate -625*-4. 2500 Product of 2 and -745. -1490 Product of 0.08 and -1.6. -0.128 Calculate 16*-117. -1872 0.5*-0.063 -0.0315 What is the product of -0.17 and 0.47? -0.0799 Calculate -0.055*6. -0.33 0.4 times 79 31.6 Product of 3.06 and -0.4. -1.224 Work out -364 * 3. -1092 Work out 20 * 5. 100 -3 * 916 -2748 What is the product of -215 and -0.3? 64.5 Product of 1.1 and -0.2. -0.22 What is the product of 126 and -0.4? -50.4 Work out 0.5 * 245. 122.5 Calculate 212*-0.3. -63.6 0.1*-3704 -370.4 What is the product of 6.44 and -5? -32.2 -14 times -0.2 2.8 What is the product of -4 and -44? 176 Product of -0.01 and 2. -0.02 8 times 26 208 8*-332 -2656 What is 0.15 times -0.3? -0.045 What is the product of -7.9 and 0.9? -7.11 -1815*0 0 181*0 0 What is the product of 2 and -3.9? -7.8 2*-2 -4 -492 * 0.09 -44.28 Calculate -19*-26. 494 What is the product of 0.9 and -10? -9 Product of -0.125 and -1. 0.125 Product of 2.3 and -4. -9.2 -14 * 1.1 -15.4 Work out 75 * -0.13. -9.75 Calculate -437*-3.2. 1398.4 What is -14.8 times 1.9? -28.12 Product of 20 and 0.086. 1.72 Calculate 0.03*0.7. 0.021 19 times -42 -798 -0.162 * 8.8 -1.4256 Product of 3809 and 0.5. 1904.5 -0.07 times -15 1.05 What is -46 times -1.6? 73.6 2.5 * 0.16 0.4 Multiply 2.3 and -0.06. -0.138 What is 18 times -2? -36 -2 * -66 132 -5 * 1.19 -5.95 0.4 * 1093 437.2 Multiply 167 and 0.4. 66.8 Multiply 0.3058 and -1. -0.3058 15*4 60 What is the product of -271 and 28? -7588 -0.5 * 4.12 -2.06 Multiply -0.07 and -0.57. 0.0399 What is the product of -0.2 and -15? 3 What is the product of 1.72 and -3? -5.16 What is the product of -0.5 and 1.5? -0.75 Multiply -0.01 and -25. 0.25 0*-0.09 0 Work out -0.112 * 5. -0.56 What is 13 times -34? -442 What is -3 times 46? -138 62 times 50 3100 -4965 * 0.3 -1489.5 Product of -1007 and 0.2. -201.4 Multiply 3.69 and 0.8. 2.952 Multiply 0.2 and 54. 10.8 0.2 times 0.0397 0.00794 23 times -29 -667 What is the product of 1.7 and 0.66? 1.122 32 times -0.7 -22.4 What is 62 times -3? -186 Calculate 42.6*5. 213 -13 times 8 -104 Calculate -17*-16. 272 -0.2 times 0.03936 -0.007872 -3544*-0.3 1063.2 0.4 times 46 18.4 -0.53 times -1 0.53 Product of -902 and -0.03. 27.06 22 times -0.1 -2.2 Product of 37.9 and -2. -75.8 Work out -3 * 2865. -8595 Multiply -0.114 and -4. 0.456 Calculate 0.04343*4. 0.17372 Work out 1.6 * -0.3. -0.48 89 times 0.3 26.7 Multiply -11.8 and 1. -11.8 Multiply -1.13 and 0. 0 Calculate 0.1439*-13. -1.8707 Multiply 0.1 and -1.59. -0.159 Product of 2 and 0.099. 0.198 What is -15.412 times -1? 15.412 Product of -7.5 and 6. -45 Multiply 7 and 76. 532 3 * -0.0604 -0.1812 73*-3 -219 What is the product of -79 and 16? -1264 0.061*5 0.305 What is the product of -948 and -0.5? 474 Work out 6162 * -2. -12324 -7*10 -70 Multiply 0.01392 and 0.3. 0.004176 -2 * -127 254 3*-11.54 -34.62 What is the product of 22 and 80? 1760 Product of -0.57 and -0.1. 0.057 Multiply -0.2 and -822. 164.4 What is 0.2 times -44.7? -8.94 -0.2*9 -1.8 0.557 * -1 -0.557 Multiply -2240 and 3. -6720 0.0571 times -2 -0.1142 3*0.7 2.1 Multiply 1.6 and 0.15. 0.24 -1*-0.1004 0.1004 -1275*-1.6 2040 Calculate -0.16*0. 0 -8.4 times 1.6 -13.44 Work out -1 * 8. -8 Multiply 18 and 0.2. 3.6 What is the product of 5 and 448? 2240 Calculate 0.1*-7.6. -0.76 -0.058 times 0.18 -0.01044 Product of -75 and -2. 150 -1 * -0.02 0.02 What is 0.3 times 0.0784? 0.02352 -4 * -936 3744 What is -18 times 0.07? -1.26 Work out -1187 * 0.5. -593.5 Product of 70 and -0.5. -35 What is the product of 29.5 and 67? 1976.5 Work out 13 * 62. 806 47*-17 -799 Calculate 0.02*-0.13. -0.0026 Product of 129 and 20. 2580 Multiply 7 and -0.53. -3.71 Multiply 71 and 9. 639 -3 times 0.851 -2.553 Calculate -4*208. -832 What is the product of 3.7 and 10? 37 9 times 35 315 Work out -39.41 * 5. -197.05 -0.4957*-0.1 0.04957 -0.7*-83 58.1 -3.7 times -0.61 2.257 Calculate -18848*0.5. -9424 What is -6 times 60? -360 Multiply -4.1 and 0.01. -0.041 Work out 23.52 * 0.06. 1.4112 Multiply 23 and 0.07. 1.61 What is the product of 0.3 and 0.29? 0.087 Multiply -1.612 and 5. -8.06 What is the product of -99 and -30? 2970 What is 46 times 8? 368 What is the product of -10 and 5.4? -54 -1.386*0 0 Multiply 88.3 and -0.1. -8.83 Product of 9376 and -0.3. -2812.8 Work out 5 * -3. -15 What is 7.2 times 3? 21.6 What is -1.4 times 850? -1190 Product of 596.6 and -4. -2386.4 Multiply -1118 and 0. 0 What is -1 times -3.8? 3.8 -0.1 times 17.4 -1.74 Calculate 0*121. 0 -784 * 2 -1568 Multiply -711 and -2. 1422 Product of 278 and -2. -556 What is 5 times 1.269? 6.345 What is the product of 0.3 and 0.7? 0.21 -1.4 times 0.07 -0.098 40.97*-6 -245.82 Product of 3 and 31. 93 -42 * -2.8 117.6 0.65 * 13 8.45 Product of 353 and 2. 706 Product of 0.176 and -0.7. -0.1232 17 times 12.3 209.1 Product of -0.24 and -5. 1.2 Work out -17.19 * 5. -85.95 Work out 79.3 * 1. 79.3 Multiply -0.439 and 0.1. -0.0439 Work out -2.27 * -0.12. 0.2724 Product of -427 and -11. 4697 What is the product of -2.2 and 0.097? -0.2134 -0.3866 times 5 -1.933 What is 0.184 times -0.4? -0.0736 What is the product of 1 and 1361? 1361 -59 * 55 -3245 What is the product of 2 and 1538? 3076 What is the product of 0.2205 and 0.5? 0.11025 Work out -2 * 77. -154 -18 times 0.02 -0.36 What is the product of 42 and -0.3? -12.6 2154 * 0.1 215.4 -0.01 times -0.2 0.002 What is 11 times -0.222? -2.442 -84.38 * 0.2 -16.876 Multiply 2.4 and 383. 919.2 Work out -11 * -49.5. 544.5 What is the product of -1.6 and -4? 6.4 What is -5 times 0.0109? -0.0545 4066 times -4 -16264 0.8 * -20 -16 What is the product of 1.2 and -1.6? -1.92 -89074 * 0.3 -26722.2 Multiply -0.58 and 0.6. -0.348 What is the product of 0.1 and -0.07? -0.007 What is -450 times 0.49? -220.5 Calculate 0.112*-8. -0.896 Work out -28 * 259. -7252 Product of 0.1018 and 5. 0.509 -3 times 0.02492 -0.07476 -4*-177.9 711.6 Multiply -1 and -60. 60 -18*0.08 -1.44 What is 2.6 times 3.2? 8.32 What is 3 times -25? -75 -164 * -0.3 49.2 What is 0.1905 times 1? 0.1905 Multiply 0.51 and -5. -2.55 -0.13 * -0.02 0.0026 0 * 211 0 Product of 217 and -0.5. -108.5 -0.9*0.28 -0.252 0.1404 * 1 0.1404 What is the product of 0.253 and -11? -2.783 Product of 51 and 0.04. 2.04 Multiply 4 and -0.036. -0.144 What is -6.4 times 0.3? -1.92 0.19*0.8 0.152 Calculate -3.5*-10. 35 Work out 0.005 * -4. -0.02 What is the product of 43228 and 1? 43228 What is the product of 1.01 and 6? 6.06 -0.3 times -20.2 6.06 Multiply 43.2 and -5. -216 Multiply 0.04 and -82. -3.28 Work out 5 * -73. -365 -0.2 * -0.46 0.092 What is 14 times 241? 3374 What is the product of 370 and 5? 1850 Multiply 4 and 0. 0 45 * -0.36 -16.2 201*-2 -402 What is the product of 32 and -0.078? -2.496 370*-2 -740 Calculate 1.3*-18. -23.4 Multiply -45 and 11.7. -526.5 What is the product of -1.363 and 5? -6.815 Product of -0.278 and 4. -1.112 Multiply -0.04 and 0.185. -0.0074 What is the product of -3.202 and 1? -3.202 -0.5*5 -2.5 Multiply 199 and -0.3. -59.7 3 * -6.3 -18.9 Calculate 0.93*-0.09. -0.0837 Multiply -191.5 and -1. 191.5 Work out -0.2 * -67. 13.4 Calculate -1037*-0.2. 207.4 -51655 times 1 -51655 Product of 0.04 and -5.4. -0.216 Product of -2.9 and 29. -84.1 Multiply -88 and 6. -528 Product of 6 and 0.778. 4.668 -0.8191 * 0.4 -0.32764 -2 times -0.059 0.118 Work out 0 * 0.116. 0 55 * 27 1485 -646*-0.1 64.6 Work out 0.077 * -0.03. -0.00231 Work out 0.2 * 4.4. 0.88 1.4 * 18 25.2 Work out -27.6 * -1.7. 46.92 What is the product of 0.22 and -16? -3.52 48.4*-3 -145.2 Calculate 0.4*-754. -301.6 Work out 1 * -3.48. -3.48 -0.033*0.186 -0.006138 Work out 2.1 * -17. -35.7 Product of -993 and 8. -7944 What is the product of -5 and 41.6? -208 11 times -0.24 -2.64 What is the product of 53 and -0.5? -26.5 0.9 times 10 9 What is 0.3 times 1355? 406.5 Calculate 12.2*0.35. 4.27 Work out -59 * -0.08. 4.72 0.3 * 0.088 0.0264 -11 times -401 4411 Multiply 76 and -1.75. -133 Multiply -2.69 and -11. 29.59 What is the product of 0.8 and -24.8? -19.84 W
{ "pile_set_name": "DM Mathematics" }
- 85, -4*o - 3*y = 48. What is the nearest to b in -3, 5, o? -3 Let u = 0.2 + -0.2. Let n = -1.64114 - -1.69114. Which is the nearest to 2/7? (a) u (b) -0.2 (c) n c Let q = -72.057 - -72. Let h = q - -0.087. Which is the closest to -1? (a) h (b) -1 (c) 1 (d) 2 b Let v = -958.5 + 957.5. What is the closest to v in -0.12, 14, -5, -2? -0.12 Let k = -10 + 41/4. Let v = 68.5 - 68.8. Which is the nearest to -6? (a) v (b) k (c) -3 c Let m = 375 + -368. Let r = -0.5 - -1.5. Let f = m - r. What is the nearest to 1/4 in f, -1, -3? -1 Let c = 67205 - 67198. Let u be (1 - -1)*(-1)/2. What is the nearest to u in 1/5, 0.3, c? 1/5 Let n be (-6 - (47178/(-8050))/1) + (-5)/(-35). What is the closest to -0.1 in -1/5, n, 0.5? -1/5 Let u be (-27)/18*(16/(-32))/(27/(-6)). Which is the nearest to 1/8? (a) -2 (b) u (c) -0.5 b Suppose 98*l - 102*l + 16 = 0. What is the closest to 0.4 in l, -0.1, -0.06? -0.06 Let t be 15/90*24*(-4 + (-375)/(-96)). Let w = -7.3 + 7. What is the closest to 2 in t, -2, w? w Let m = -284 + 280. Let x = -103.3 - -103. Which is the nearest to 0? (a) x (b) m (c) 1/23 c Suppose -g = 5*p - 10, 2 + 4 = 3*p + 4*g. Let f be 3/(-10)*-1*p. Let q be (3 - 2) + -2 - -5. What is the nearest to 0 in q, 1/2, f? 1/2 Let p = -113.8 + 104. Let y = 9.5 + p. What is the nearest to 11 in -3, -4, y? y Let f = -449.15 - -448.65. Which is the closest to 0.9? (a) f (b) -8 (c) -2 (d) 3 a Let r = -147 + 145. Let p = 81 + -77. Let o = 0.1 - 0.3. Which is the nearest to o? (a) 0.2 (b) r (c) p a Let u = 6 + -5. Let m = 9975.9 - 9976. Which is the nearest to m? (a) -5 (b) u (c) 11 b Let h = -11980 - -11979.6. What is the nearest to -0.28 in 0.5, h, 0.05? h Let a = -415 + 2077/5. What is the nearest to a in 24, 3, -3? 3 Let y = -53534.6 - -53535. Let r be (-14)/24 - (-1)/3. What is the nearest to 1/2 in -1/23, -2/3, y, r? y Let r = 743 + -2971/4. Let m be (1 + (-10)/12)/((-5)/20). What is the nearest to -2/23 in m, r, 1? r Suppose 275*z - 57884 = 159*z. Which is the closest to -0.1? (a) z (b) -1/8 (c) -5/6 (d) 0.3 b Let u = 10178 + -10181. What is the closest to 0 in -0.1, u, 2/9, 2? -0.1 Let x be -10 + -207*16/(-360). Which is the closest to 5? (a) x (b) -2/5 (c) 3/2 c Let l = 97.69 + -97.39. What is the nearest to 0.3 in 3, l, 133? l Let n = 285 - 289.4. Which is the nearest to n? (a) -3 (b) -5 (c) -2 b Let d = -54 - -57. Let t be (-1 - -4)/((-1248)/64). Which is the nearest to t? (a) d (b) -4 (c) -3 c Let m = 0.1 - -4.9. Let i = -43917 - -43917.1. What is the closest to -2 in 0.4, i, m, 0? 0 Let j = -6583/3 + 2193. Let p = 1.3 + -1. Let n = -0.004 - 1.996. Which is the closest to 2/7? (a) p (b) j (c) n a Let t = -33 - -34. Let s(g) = 3*g - 1. Let k be s(2). Suppose 4*l + 2 = -0*j - 2*j, -k*j + 16 = 3*l. Which is the closest to t? (a) j (b) 2 (c) 3 b Let n be (-2)/(-7) - (-22)/(-28). Let k = 527.724 + -527.524. What is the closest to k in -5, -4, 71, n? n Let z = 1972 - 1975. What is the nearest to 0 in -0.03, z, -79? -0.03 Let l be (-46)/(-42) - (-4)/(-6). Let x = 364 - 362. Let m be (9/42)/(0 + x/4). Which is the nearest to l? (a) -5 (b) 0.5 (c) m c Let f = 14799 - 14799.5. Which is the closest to f? (a) -1 (b) -27 (c) -2/7 (d) -2 c Let f = 9550 - 9533. Which is the closest to -1? (a) 0 (b) -4 (c) 0.5 (d) f a Let o = -0.2 + 0.1. Let u = -1.2625 + 3.2625. Which is the nearest to o? (a) 0.2 (b) u (c) 0 (d) 2/17 c Let c = -1.23 + -0.77. Suppose 0*k + 3*k - 11 = -5*g, 5*k - 3*g + 27 = 0. What is the closest to c in 5, 3, k? k Let w be (-4)/(24/1266) - 1. Let m = -216 - w. Which is the nearest to 1? (a) -2 (b) 5.1 (c) m a Let n = -0.0279 - -0.4779. Let c = 0.85 - n. Let m(o) = -o**3 - 6*o**2 - o - 8. Let d be m(-6). What is the closest to 0.1 in c, d, -0.4? c Let p = 0.421 + -0.052. Let u = p + 1.631. Let q = 6 - 8.4. Which is the closest to 0.1? (a) -1 (b) u (c) q a Let l be ((8/(-6))/(-4))/(((-156)/(-54))/26). Which is the nearest to 0.1? (a) 5 (b) l (c) 1/2 (d) -5 c Let w = 7213/1995 + -348/95. What is the nearest to -6 in 3, w, 2, 6? w Suppose -38*w + 118 = 232. What is the closest to 2 in 0.3, w, -10? 0.3 Suppose -171*g = -878 - 1516. Which is the closest to 0? (a) -0.5 (b) 72 (c) g (d) 5 a Let f be ((-3)/4)/(2/(-24)). Let v = 0.82986 - 0.72986. What is the nearest to -2/5 in -5, v, f? v Let w = 26214 + -26217. Let o be (2/(-5))/((-2)/10). Let p = 0.21 + -0.24. Which is the nearest to o? (a) 5 (b) p (c) w b Let t = 1104.9 - 1105.4. What is the nearest to -2/5 in -40, 1/4, t? t Let z = -2507 + 2507.08. Which is the closest to -1/4? (a) 0 (b) 3 (c) -1 (d) z a Let h be 22/20 + (-4)/(-10). Suppose 0 = -0*l - l. Let u = -0.19041 - 0.00959. Which is the closest to l? (a) 4 (b) u (c) h b Let o be (-74)/185*15/24*4. What is the nearest to 0.5 in 0.5, o, 1, 0.07? 0.5 Let o = -135 - -175. Suppose -t - o = 7*t. Let y = 4 + -3. What is the nearest to 0.3 in y, t, -3? y Suppose -q = -0*q - 2. Let i be ((-27)/(-42))/(240/(-49700)). Let t = -133 - i. Which is the closest to -1/3? (a) 0.5 (b) q (c) t c Let l = -5201 - -5206. What is the closest to 2 in 0.1, 0, l? 0.1 Let y = -0.923 - -0.833. Which is the nearest to 0.1? (a) -4/5 (b) -0.5 (c) y c Let s be (-10)/(-18) + -1*(-1)/(-3). Let i = -656 + 658. What is the nearest to 31 in -3, s, i? i Let p = 17668 + -17665. Which is the closest to p? (a) 1.1 (b) -1/6 (c) 4/7 (d) 0.04 a Suppose 156*p + 23*p - 441 = 32*p. Which is the nearest to -2008? (a) p (b) 2/9 (c) 2/17 c Let m be ((-8)/(-10))/((-3)/(60/8)). Let l = -5 + 4.7. Which is the closest to -3? (a) -1 (b) l (c) m c Let h be 0/(2 - (-2 - -2)). Let l = -1865.6 - -1866. What is the nearest to h in -2, l, 1? l Let q = 34.94 - 35.24. Which is the nearest to 0.8? (a) 14 (b) q (c) -0.1 c Let r be 1 + 132/(-80) - (-1)/4. Let q = 1618 - 1609. What is the closest to -1 in r, q, -0.04? r Let r = 52.14 + -51. Suppose -x + b = 14, 2*x - 3*b = -3*x - 52. What is the closest to r in -1, 0.3, x? 0.3 Let q = -689 + 688.999. Let k = -0.301 - q. Let w be 0/(-2) + (-2)/(-10). Which is the closest to w? (a) -4 (b) k (c) 2 b Let m(s) = 3*s**2 + 290*s - 1207. Let d be m(4). Let o = 157/16 + -39/4. What is the nearest to d in -5, 3, o, 1/10? 1/10 Let z = 1692 + -1690. Let x = -4.97 + 2.97. What is the nearest to 1 in -67, z, x? z Let s = -32.5 + 5. Let o = -28.5 - s. What is the nearest to o in -4, -0.5, 0.051? -0.5 Let p = -1.09 + 2.29. Let c = -140 - -140.4. What is the closest to -1 in -1, c, p? -1 Let n = -4524/7 + 646. Let d be -1 + 3 - 55/25. Which is the closest to d? (a) n (b) 3/8 (c) -2 a Let w be -3 + (15/4)/((-291)/(-388)). Which is the closest to w? (a) 0.249 (b) -1 (c) 1/5 (d) -1/9 a Let j = 0.12 - 0.02. Let d = -3.97 + -110.53. Let f = d + 114. What is the nearest to j in f, 2/15, -1? 2/15 Let y = 667 + -667.4. Let x = 56/165 - -2/33. Let p = -222.3 + 219.3. What is the nearest to 3 in x, y, p? x Let r = -8941.58 + 8942. Which is the nearest to -0.1? (a) r (b) -13 (c) 4 (d) 2 a Let j = 1116.11 - 1121. Let f = j + 5.5. Let s = 1.41 - f. Which is the nearest to s? (a) 2/11 (b) -0.4 (c) 3 a Let n(m) = 2*m**3 - 31*m**2 + 15*m + 1. Let u be n(15). Let g be (-27)/(-36) - (u - 2/2). Let i = 2 - 3. What is the closest to i in 4, 0.04, g? 0.04 Let d = 342 - 214. Let c = d + -127. What is the closest to c in 0.1, 1, -0.1? 1 Let b = -107925/406 - -313/58. Let h = -261 - b. What is the nearest to h in -1/7, 5, -0.2? -0.2 Let t = -0.083 + 0.083. Let k(f) = 24*f + 457. Let l be k(-19). Which is the closest to l? (a) t (b) -1/3 (c) 10 a Let u = -219 + 250. Suppose -11*x = u*x - 168. What is the nearest to 2/5 in x, -3/5, -0.43? -0.43 Let g = 1086 + -1085.7. Which is the nearest to 0.3? (a) -34 (b) g (c) 5 (d) 1 b Let q be ((-4)/6)/(8/(-36)). Let l = -5499/4 - -1365. Let o = l - -10. Which is the closest to o? (a) -0.2 (b) 0.5 (c) q b Let x = 7.3 + -12.3. Let j = -979.1 - -979. What is the closest to j in x, 0.12, 0.2? 0.12 Let i = -18.87 + 18.67. What is the nearest to 10 in 0.1, i, -0.12? 0.1 Let k = 39 - 147. Which is the nearest to k? (a) 0 (b) -5 (c) 2 b Let n = 1624.26 + -1624.3. Which is the nearest to -4? (a) 32 (b) n (c) 0 (d) 2 b Let i = -12005 - -11998.89
{ "pile_set_name": "DM Mathematics" }
eplacement from bzgyf. Give prob of picking 1 f and 1 g. 1/10 Calculate prob of picking 2 b when two letters picked without replacement from {b: 5, r: 3, y: 2}. 2/9 Two letters picked without replacement from {e: 2, d: 1}. Give prob of picking 2 e. 1/3 What is prob of picking 2 y when two letters picked without replacement from {i: 1, y: 4, m: 2}? 2/7 What is prob of picking 2 l when two letters picked without replacement from mlmlmmmmmmmlmmm? 1/35 Three letters picked without replacement from jejsrs. What is prob of picking 1 j and 2 s? 1/10 What is prob of picking 1 j, 1 s, 1 d, and 1 t when four letters picked without replacement from {j: 2, s: 3, t: 1, d: 1}? 6/35 Calculate prob of picking 2 o when two letters picked without replacement from {o: 10}. 1 Four letters picked without replacement from {v: 5, n: 5, s: 4, z: 1, c: 1}. Give prob of picking 1 z, 1 n, 1 s, and 1 v. 5/91 What is prob of picking 2 v and 1 x when three letters picked without replacement from vxxvvv? 3/5 Calculate prob of picking 2 a when two letters picked without replacement from {a: 3, e: 3}. 1/5 Two letters picked without replacement from uggguuggugug. What is prob of picking 2 u? 5/33 Calculate prob of picking 2 n and 2 s when four letters picked without replacement from {n: 10, s: 10}. 135/323 Two letters picked without replacement from {h: 6, w: 6}. Give prob of picking 1 h and 1 w. 6/11 Two letters picked without replacement from {u: 1, z: 3, r: 1, g: 3, b: 1, w: 2}. What is prob of picking 1 u and 1 b? 1/55 Three letters picked without replacement from {n: 1, r: 2, g: 1, v: 1}. Give prob of picking 1 g and 2 r. 1/10 What is prob of picking 1 t and 2 i when three letters picked without replacement from {q: 4, t: 3, r: 3, i: 4}? 9/182 What is prob of picking 2 k when two letters picked without replacement from {n: 2, r: 5, k: 5, l: 4, c: 1, j: 3}? 1/19 Three letters picked without replacement from {l: 1, c: 1, h: 1, j: 1, v: 1}. Give prob of picking 1 h, 1 j, and 1 l. 1/10 Calculate prob of picking 1 r, 1 q, and 1 y when three letters picked without replacement from rrqqyqyryqqyyyqqqrq. 72/323 Two letters picked without replacement from ggggrgrgggggggrg. Give prob of picking 2 g. 13/20 Four letters picked without replacement from zpoodypoypdnzdy. What is prob of picking 1 z, 1 d, 1 y, and 1 o? 18/455 Four letters picked without replacement from nbzbbbbqmq. Give prob of picking 3 b and 1 z. 1/21 What is prob of picking 2 f and 1 c when three letters picked without replacement from ccfffcff? 15/28 Four letters picked without replacement from {a: 1, s: 2, d: 8, y: 4}. What is prob of picking 2 a and 2 y? 0 Calculate prob of picking 2 r when two letters picked without replacement from {t: 3, r: 5}. 5/14 What is prob of picking 1 z and 1 h when two letters picked without replacement from hzz? 2/3 Calculate prob of picking 2 f when two letters picked without replacement from fafafajvarfajajof. 5/68 Two letters picked without replacement from {s: 1, c: 2, g: 2, r: 1}. Give prob of picking 1 g and 1 s. 2/15 Two letters picked without replacement from {p: 12, r: 7}. Give prob of picking 1 p and 1 r. 28/57 Two letters picked without replacement from {n: 4, u: 4, j: 2, t: 2, r: 1, q: 2}. What is prob of picking 1 j and 1 r? 2/105 Two letters picked without replacement from dmdbgmtc. Give prob of picking 2 d. 1/28 Three letters picked without replacement from {m: 5, e: 4, h: 4, r: 2}. Give prob of picking 2 r and 1 m. 1/91 Two letters picked without replacement from {k: 16, g: 1, l: 3}. What is prob of picking 1 k and 1 l? 24/95 Two letters picked without replacement from kilwytwwiyly. Give prob of picking 1 t and 1 w. 1/22 Four letters picked without replacement from {a: 1, z: 2, u: 2, v: 3, w: 5, n: 6}. What is prob of picking 1 v, 2 u, and 1 w? 5/1292 What is prob of picking 1 j and 1 x when two letters picked without replacement from zpppxzzxzjspzjjz? 1/20 Calculate prob of picking 1 m and 3 t when four letters picked without replacement from {m: 14, t: 4}. 14/765 Four letters picked without replacement from {z: 7, f: 7}. Give prob of picking 1 z and 3 f. 35/143 What is prob of picking 1 s, 2 j, and 1 m when four letters picked without replacement from msmjcskjsmckmmmmjk? 7/340 Three letters picked without replacement from ssssssssfssfffsssss. Give prob of picking 3 s. 455/969 Three letters picked without replacement from {i: 2, l: 2, b: 3, k: 3, a: 5}. Give prob of picking 1 i, 1 k, and 1 l. 12/455 What is prob of picking 1 b and 3 v when four letters picked without replacement from {b: 15, v: 3}? 1/204 What is prob of picking 1 o and 1 j when two letters picked without replacement from iojixyex? 1/28 Calculate prob of picking 2 m and 1 h when three letters picked without replacement from hmmmmmhmmh. 21/40 What is prob of picking 2 p and 2 q when four letters picked without replacement from qvpqbpvvvbqv? 1/165 Two letters picked without replacement from {h: 1, x: 1, v: 2, l: 1}. Give prob of picking 1 x and 1 l. 1/10 Calculate prob of picking 3 b when three letters picked without replacement from {p: 4, m: 3, u: 2, r: 4, b: 3}. 1/560 What is prob of picking 1 n and 3 z when four letters picked without replacement from {n: 2, z: 2}? 0 What is prob of picking 1 f and 1 g when two letters picked without replacement from fmumfgmgmffttm? 8/91 Three letters picked without replacement from iayaiaiyyyyiiyiyiy. Give prob of picking 3 y. 7/102 Three letters picked without replacement from {e: 7, c: 4, y: 3, w: 3, u: 3}. What is prob of picking 2 y and 1 e? 7/380 What is prob of picking 2 f and 1 m when three letters picked without replacement from {x: 2, s: 1, m: 1, f: 3, a: 11}? 1/272 Two letters picked without replacement from rrrrrrrxrrrrrrr. Give prob of picking 2 r. 13/15 What is prob of picking 1 t and 1 e when two letters picked without replacement from {k: 9, r: 5, e: 1, t: 1, d: 1, h: 1}? 1/153 Two letters picked without replacement from {w: 4, m: 3, s: 4, p: 5}. What is prob of picking 2 s? 1/20 Four letters picked without replacement from fmbmffbmbbff. What is prob of picking 2 b and 2 m? 2/55 Three letters picked without replacement from hoohh. Give prob of picking 2 h and 1 o. 3/5 Two letters picked without replacement from fafaa. Give prob of picking 2 a. 3/10 Two letters picked without replacement from ymmybmbymybkzmmzmz. What is prob of picking 2 b? 1/51 Calculate prob of picking 1 p, 1 q, and 1 d when three letters picked without replacement from ddpqdiipdqqf. 6/55 What is prob of picking 3 y when three letters picked without replacement from {q: 5, z: 3, y: 3, i: 1}? 1/220 What is prob of picking 1 p, 1 z, and 1 k when three letters picked without replacement from {f: 1, c: 1, v: 1, z: 2, p: 2, k: 1}? 1/14 Four letters picked without replacement from {m: 1, p: 2, c: 1, k: 1, v: 1, o: 2}. Give prob of picking 2 o and 2 p. 1/70 Four letters picked without replacement from lllxolobxboxlolfob. What is prob of picking 1 l, 1 x, and 2 b? 3/170 Four letters picked without replacement from ddbdvvvabobqbodovvva. Give prob of picking 1 d, 1 q, and 2 o. 4/1615 Two letters picked without replacement from {n: 1, p: 1, y: 1}. Give prob of picking 1 n and 1 p. 1/3 Two letters picked without replacement from avv. Give prob of picking 2 v. 1/3 Three letters picked without replacement from {v: 4, z: 2, d: 10, g: 2, l: 1}. What is prob of picking 2 d and 1 l? 15/323 Calculate prob of picking 2 k when two letters picked without replacement from {e: 2, w: 1, b: 1, k: 2, m: 1, j: 1}. 1/28 Four letters picked without replacement from {d: 2, l: 13, n: 3, z: 1}. Give prob of picking 2 d and 2 l. 13/646 Four letters picked without replacement from {p: 1, n: 1, e: 2, s: 4, r: 3, l: 4}. What is prob of picking 2 s, 1 p, and 1 l? 8/455 Two letters picked without replacement from {p: 2, r: 2, c: 2, m: 8}. What is prob of picking 2 m? 4/13 What is prob of picking 2 n when two letters picked without replacement from rcrnynxrennnnrx? 1/7 Three letters picked without replacement from {n: 2, c: 3, z: 8, x: 5, v: 2}. Give prob of picking 3 z. 14/285 What is prob of picking 1 m, 1 h, 1 q, and 1 c when four letters picked without replacement from {r: 1, c: 1, q: 1, m: 1, h: 1, o: 2}? 1/35 Four
{ "pile_set_name": "DM Mathematics" }
acement from {z: 1, y: 2, k: 2, l: 1, t: 3, o: 3}. Give prob of picking 1 z and 2 k. 1/220 Three letters picked without replacement from ddzmzdedmdoeddddz. Give prob of picking 1 d, 1 z, and 1 o. 27/680 What is prob of picking 2 t when two letters picked without replacement from {q: 1, u: 4, m: 1, t: 2}? 1/28 Four letters picked without replacement from tgtlgtgtl. Give prob of picking 3 t and 1 g. 2/21 Four letters picked without replacement from joajaaqaqaojduo. What is prob of picking 2 j, 1 o, and 1 a? 3/91 Three letters picked without replacement from {v: 5, s: 7, h: 1}. Give prob of picking 2 v and 1 h. 5/143 Two letters picked without replacement from {d: 2, r: 2, k: 12, n: 4}. Give prob of picking 1 r and 1 d. 2/95 Four letters picked without replacement from ggggggg. What is prob of picking 4 g? 1 Calculate prob of picking 2 w and 2 l when four letters picked without replacement from lywyooyoyywl. 1/495 Three letters picked without replacement from zzzzzzpzzpzp. Give prob of picking 1 z and 2 p. 27/220 Calculate prob of picking 2 s and 2 r when four letters picked without replacement from zmsrrsrqrr. 1/21 Two letters picked without replacement from fffff. What is prob of picking 2 f? 1 Calculate prob of picking 1 g and 1 e when two letters picked without replacement from ggeegeeeeeee. 9/22 Two letters picked without replacement from rerwcoorwttreco. Give prob of picking 1 c and 1 o. 2/35 Two letters picked without replacement from ohqqqih. What is prob of picking 2 o? 0 Calculate prob of picking 1 k and 1 a when two letters picked without replacement from {k: 4, t: 3, d: 3, a: 2, v: 6}. 8/153 What is prob of picking 1 t and 2 m when three letters picked without replacement from tmmtm? 3/5 Four letters picked without replacement from {y: 10, n: 10}. What is prob of picking 2 n and 2 y? 135/323 Three letters picked without replacement from {r: 1, p: 4, b: 8, k: 5}. Give prob of picking 2 k and 1 r. 5/408 What is prob of picking 2 i when two letters picked without replacement from {i: 2, o: 1, t: 2, e: 1, h: 1, a: 1}? 1/28 Three letters picked without replacement from {c: 4, t: 2}. What is prob of picking 3 c? 1/5 Two letters picked without replacement from tvmmavwvvmawfmfmvma. Give prob of picking 2 a. 1/57 What is prob of picking 1 i and 2 x when three letters picked without replacement from xxxxxijjxjxxxj? 9/91 Two letters picked without replacement from {k: 7, g: 3}. What is prob of picking 1 g and 1 k? 7/15 Two letters picked without replacement from {s: 1, y: 1, r: 2, t: 6, w: 5}. Give prob of picking 1 t and 1 r. 4/35 What is prob of picking 4 v when four letters picked without replacement from vvmmvmvmvmmmmmvmmm? 1/204 Calculate prob of picking 1 q, 1 v, and 2 j when four letters picked without replacement from {v: 3, j: 2, q: 1, i: 1}. 3/35 Calculate prob of picking 1 y and 1 u when two letters picked without replacement from ywu. 1/3 What is prob of picking 2 s and 1 f when three letters picked without replacement from ssksksfspx? 1/12 Two letters picked without replacement from {d: 10, m: 2, c: 1, q: 1, e: 3, o: 1}. What is prob of picking 1 q and 1 d? 10/153 Three letters picked without replacement from foddfofff. What is prob of picking 3 f? 5/42 Two letters picked without replacement from {o: 5, z: 13}. What is prob of picking 1 z and 1 o? 65/153 Four letters picked without replacement from flfllmmmflfmmlym. What is prob of picking 2 f and 2 m? 9/182 Two letters picked without replacement from ddfdfehdd. Give prob of picking 1 e and 1 h. 1/36 Two letters picked without replacement from cxxcxcxxxc. What is prob of picking 2 c? 2/15 Calculate prob of picking 1 x and 1 a when two letters picked without replacement from {a: 3, k: 3, w: 3, d: 4, x: 3}. 3/40 Three letters picked without replacement from hvvkykooykkp. Give prob of picking 1 v, 1 p, and 1 h. 1/110 What is prob of picking 2 r, 1 p, and 1 s when four letters picked without replacement from qffqrrsrrlqpqrr? 1/91 Four letters picked without replacement from fikoykidfiiik. Give prob of picking 1 y, 1 o, and 2 i. 2/143 Calculate prob of picking 2 f and 2 i when four letters picked without replacement from {g: 3, p: 1, v: 2, f: 6, i: 3}. 3/91 Two letters picked without replacement from {t: 1, f: 2, y: 1, o: 2, d: 12}. What is prob of picking 1 t and 1 f? 2/153 Calculate prob of picking 1 x, 1 j, and 1 d when three letters picked without replacement from {x: 4, j: 4, p: 1, u: 1, d: 6, v: 2}. 2/17 What is prob of picking 1 g and 1 c when two letters picked without replacement from {r: 1, u: 2, c: 1, g: 1, y: 2, w: 2}? 1/36 Three letters picked without replacement from kkkknkmnkkkmkknkk. Give prob of picking 1 m and 2 n. 3/340 Calculate prob of picking 2 e, 1 l, and 1 i when four letters picked without replacement from eybyboillleye. 9/715 Calculate prob of picking 1 n, 1 v, and 1 w when three letters picked without replacement from rvvrwhinvvnn. 3/55 Three letters picked without replacement from {f: 4, g: 4, a: 3, i: 1, u: 1, p: 2}. Give prob of picking 1 p, 1 i, and 1 g. 8/455 Three letters picked without replacement from {m: 18, r: 1}. What is prob of picking 1 r and 2 m? 3/19 Calculate prob of picking 1 m, 1 j, and 1 i when three letters picked without replacement from {i: 1, m: 3, j: 4}. 3/14 Three letters picked without replacement from lyiy. What is prob of picking 1 i and 2 y? 1/4 Four letters picked without replacement from zxzzzzzzxzzzzzzzxzzz. What is prob of picking 4 z? 28/57 Calculate prob of picking 1 a, 1 p, and 1 h when three letters picked without replacement from {h: 3, k: 1, l: 1, s: 11, p: 1, a: 2}. 2/323 Three letters picked without replacement from sssq. What is prob of picking 3 s? 1/4 Two letters picked without replacement from ccnnncin. Give prob of picking 2 c. 3/28 Two letters picked without replacement from dsdeessvsseddzdvss. What is prob of picking 1 v and 1 d? 10/153 Calculate prob of picking 2 v when two letters picked without replacement from rvrrvrrvrrvv. 5/33 What is prob of picking 1 l and 1 g when two letters picked without replacement from llyglgllll? 14/45 Four letters picked without replacement from dddjjjjddjjdd. What is prob of picking 2 d and 2 j? 63/143 What is prob of picking 2 a when two letters picked without replacement from {a: 3, o: 6, u: 1, l: 2}? 1/22 Four letters picked without replacement from gxvgxggxvxtxxag. Give prob of picking 1 x and 3 g. 4/91 Calculate prob of picking 2 m, 1 u, and 1 l when four letters picked without replacement from buelmme. 1/35 Two letters picked without replacement from xxkkbxxkrpxrxpxkpk. What is prob of picking 1 b and 1 x? 7/153 Calculate prob of picking 1 a and 1 m when two letters picked without replacement from {a: 3, m: 1, z: 1, l: 2, c: 3, o: 1}. 3/55 What is prob of picking 2 q, 1 l, and 1 t when four letters picked without replacement from ttssbqtltqbtlqlqtt? 7/170 Calculate prob of picking 4 q when four letters picked without replacement from qznntqnqttqqzqzqlt. 7/612 Two letters picked without replacement from {x: 2, o: 2, a: 2}. What is prob of picking 2 o? 1/15 What is prob of picking 1 g and 1 m when two letters picked without replacement from grrrrrrmprrrg? 1/39 Three letters picked without replacement from ease. What is prob of picking 2 e and 1 a? 1/4 Calculate prob of picking 1 u and 1 a when two letters picked without replacement from suaaasauusau. 10/33 Four letters picked without replacement from zoazzzma. What is prob of picking 2 z, 1 o, and 1 m? 3/35 What is prob of picking 2 d and 1 z when three letters picked without replacement from zszzdzzszssrd? 3/143 Calculate prob of picking 4 b when four letters picked without replacement from {d: 9, b: 4, w: 6}. 1/3876 Two letters picked without replacement from {z: 4, w: 2, t: 2}. What is prob of picking 2 t? 1/28 Three letters picked without replacement from rgncgggngngnicngggri. Give prob of picking 1 i, 1 c, and 1 n. 1/57 Two letters picked without replacement from fffv. What is prob of picking 1 v and 1 f? 1/2 What is prob of picking 1 n and 1 a when two letters picked without replacement from allnmlzlaalnaznlttn? 16/171 Four letters picked without replacement from {y: 3, c: 4, n: 7, x: 4}. Give prob of picking 1 n, 2
{ "pile_set_name": "DM Mathematics" }
+ 3*f - 660. What is the greatest common divisor of l and 1122? 66 Let a(w) = w**3 + 15*w**2 + 14*w - 3. Let c be a(-14). Let z be (4 + c)*50 - -2. Suppose 0 = 3*m + 28 - 106. What is the highest common factor of z and m? 26 Let z be ((-73)/(-3))/(1/3). Suppose 1180 = 32*u + 284. Let c = z - u. What is the greatest common divisor of 15 and c? 15 Let y(v) = v**2 + 14*v + 52. Let s be y(-8). Suppose -s*i + 3*i + 926 = 5*h, -i + 929 = 2*h. What is the highest common factor of 19 and i? 19 Let i(k) = -k**2 - 433*k + 443*k - 4 + 10. Let l be (-41)/(-6) + 1/6. Let h be i(l). Calculate the greatest common factor of h and 108. 27 Let s be ((-48)/(-96))/((3/(-10))/(12/(-5))). Let z = 43 - 17. Suppose -2*u + b + 26 = 0, -2*b - 3*b = 3*u - z. Calculate the greatest common factor of s and u. 4 Let l = -20 - -80. Let p be (-1 - 5/(-2))/((-4)/(-8)). Suppose p*n = 46 - 1. What is the highest common divisor of l and n? 15 Suppose 5*f + f = 36. Let m be (-10)/(-15) + 74/f. Calculate the highest common factor of 221 and m. 13 Suppose 784*y - 785*y + 27 = q, 3*q - 3*y - 87 = 0. Let v = -200 - -508. What is the highest common factor of q and v? 28 Suppose 3*q - 28 = 86. Suppose -o = -58 - q. Calculate the highest common divisor of o and 64. 32 Let i(c) = -7*c - 119. Let m be i(-19). Suppose m*u - 20*u + 54 = 0. What is the highest common divisor of 117 and u? 9 Let r(z) = 13*z**2 + 25*z - 8. Let i be r(-3). Suppose -3*o + 24 = -6*o. Let w be 60/o*68/(-6). Calculate the greatest common divisor of i and w. 17 Suppose -3*f = -3*z + 20904 + 2274, -3*z = -f - 23186. What is the greatest common factor of z and 10? 10 Suppose -6*z = -a - 86071, -4*z - 3*a = -70062 + 12707. Calculate the greatest common factor of 11 and z. 11 Let h = 136 + -134. Let b(w) = 5*w**3 - 2*w**2 + 2*w + 2. Let t be b(h). Calculate the highest common divisor of t and 1216. 38 Let t(n) = 6*n**2 - 38*n + 285. Let x be t(9). Calculate the greatest common divisor of x and 6. 3 Let j = -409 + 237. Let z = 94 - j. Let m be 3316/92 - -2 - (-9)/(-207). What is the greatest common divisor of z and m? 38 Suppose 0 = -2*h - 5*w + 272, 4*w - 9*w - 166 = -h. Let s = h - 106. Calculate the greatest common divisor of 360 and s. 40 Suppose 4*v = -p + 97, -101 = -346*v + 342*v - 5*p. What is the greatest common factor of 339 and v? 3 Suppose -1021 = -4*z + 71. Suppose 25*t = 4*t + z. What is the highest common divisor of 13 and t? 13 Let j(g) = 1656*g - 5326. Let z be j(4). Calculate the highest common divisor of z and 110. 22 Suppose 0 = -4*c - 12*h + 924, 852 = 4*c + 7*h - 3*h. Let f(y) = 20*y**2 - 3*y - 2. Let i be f(-2). Calculate the greatest common divisor of c and i. 12 Let d(c) = c**3 - 31*c**2 + 29*c + 35. Let g be d(30). Suppose -4*a + 72 = g*w, 0 = -0*a - a - 2. What is the greatest common factor of 184 and w? 8 Let m(d) = d**2 + 14*d - 45. Suppose 50 = -4*z + 4*o - 38, 75 = -5*z - 2*o. Let r be m(z). Calculate the greatest common factor of r and 42. 6 Let v = 1033 + -1032. Suppose -3*h - 2 = 2*g - g, 5*h + 4 = -g. Let c be (-3 + 5)*h/(-2). Calculate the greatest common factor of v and c. 1 Let g = 821 - 1384. Let n = 591 + g. What is the greatest common factor of n and 10? 2 Suppose y = 27 - 3. Let g be (280/(-350))/((-2)/5040). Suppose -5*q = -17*q + g. Calculate the highest common factor of q and y. 24 Let o = 2693 + -2342. Calculate the highest common factor of o and 26. 13 Let l(s) = -3*s**3 + 2*s**2 + 36*s + 103. Let y be l(-5). What is the greatest common divisor of y and 396? 12 Let y be (4/1 - 4)*(3 + -4). Suppose y = 22*k - 15*k - 140. Calculate the highest common factor of k and 320. 20 Let s be 2023/14 + 9/(-6) + -10. Calculate the greatest common divisor of s and 1919. 19 Suppose -19*u + 7295 = 5528. What is the highest common divisor of 18600 and u? 93 Suppose 3*x - 34*u - 33350 = -33*u, -3*x - 5*u = -33320. Calculate the greatest common factor of x and 39. 39 Let v = 2337 - 2306. Let u(l) = 46*l**2 - 2*l. Let z be u(3). Suppose z - 129 = 3*n. Calculate the greatest common factor of v and n. 31 Suppose 0 = 103*y - 98*y - 14*z - 4636, 5*z = -5*y + 4560. What is the highest common factor of 5725 and y? 229 Let y be (11 + (-1782)/90)*(1 - (-21)/(-6)). What is the greatest common factor of 1177 and y? 11 Suppose 0 = -22*k - 205 + 1261. Calculate the greatest common divisor of k and 352. 16 Suppose -5*r = 4*v - 83, -v - 4*v - r = -109. Let a = 3466 + -3323. Calculate the greatest common factor of v and a. 11 Let t(s) be the third derivative of -17*s**4/24 - 37*s**3/6 + 7*s**2 + 5. Let a be t(-4). What is the greatest common factor of a and 248? 31 Suppose 0 = 2*y + 2*s + 358, -y - y + 5*s = 330. Suppose -12*x + 1525 - 2653 - 3564 = 0. Let v = y - x. What is the highest common factor of 24 and v? 24 Suppose 0 = 5*u - 2*u - 174. Let c be 8/(-10)*290/(-4). Calculate the highest common factor of c and u. 58 Suppose -153*v + 1253 = -42352. What is the greatest common factor of 4655 and v? 95 Suppose -b = 2*j - 37, 1330*b - 1327*b = -j + 46. Suppose 0 = -4*n - 787 + 1975. Calculate the greatest common factor of b and n. 11 Suppose 2*j - 71 = -5*l, 0 = 4*l - 10 - 18. Let x be (18 + 0)*(-39)/(-9). Let r = x + -42. What is the highest common divisor of r and j? 18 Suppose -4*s + 39130 - 113709 = -111*s. What is the highest common divisor of 17 and s? 17 Let n be (-532)/304 - (-223)/4. What is the highest common divisor of 450 and n? 18 Suppose -3*y = -5*y + 22. Let i be ((-2)/(-5) + 16/10)*y. Suppose 0*k - 32 = -4*k - 4*o, 3*k + 4*o - i = 0. What is the greatest common factor of k and 50? 10 Let f = -20296 - -22101. Calculate the highest common factor of f and 9747. 361 Let k(h) = h**2 + 34*h + 513. Let n be k(-17). What is the highest common factor of n and 1024? 32 Suppose -389*o + 390*o = 368. Let n be 1 + 3 + 1 + -4. Let m be n + 0 - 2/(10/(-225)). Calculate the greatest common divisor of o and m. 46 Let y(j) = -7*j - 3. Let t be y(-3). Let r(o) = o**3 - 16*o**2 + 145*o - 841. Let z be r(10). Calculate the greatest common factor of t and z. 9 Suppose 0 = 2*f - 66 - 18. Let c(a) = a + 1. Let x(y) = 31*y - 6. Let u(v) = -3*c(v) - x(v). Let z be u(-3). Calculate the greatest common factor of f and z. 21 Let a = -4826 + 4852. Suppose s = -2*b + 3*b + 125, -5 = -b. Suppose -z - z = -s. What is the highest common divisor of z and a? 13 Suppose 3*f + 4*h = 88, -h + 5*h = -f + 16. Let j = -52300 + 52336. What is the highest common factor of f and j? 36 Let l = 6009 - 5160. What is the highest common factor of 24 and l? 3 Suppose -17 = q - 3*l - 68, -2 = -2*l. Suppose q*b - 20 = 53*b. What is the greatest common factor of b and 25? 5 Suppose -38*w - 24540 = -43*w. Calculate the greatest common factor of w and 12. 12 Suppose -420*s - 117*s + 469 + 68 = 0. Let w(a) = -a - 3. Let d be w(0). Let p = d - -4. Calculate the highest common factor of p and s. 1 Suppose -5*w + 502 = -i + 494, i = 2*w + 16. Calculate the greatest common divisor of i and 10888. 8 Let l(n) = -19*n - 41. Let h(g) = g**2 - 2*g - 7. Let a be h(3). Let z be l(a). Calculate the highest common divisor of 385 and z. 35 Suppose 4*c = -0*c + 264. Suppose -4*f + 44 = 2*l, -3*l + 0*l + c = -2*f. Let p = -4057 - -4145. Calculate the highest common factor of p and l. 22 Suppose -4*b - 12 = -28. Suppose b*c = -20, 6*w - 2*w = -5*c + 199. Suppose u - 5*u - j = -99, -3*u + 75 = j. Calculate the greatest common divisor of w and u. 8 Suppose -4384*m + 29696 = -4380*m. Calculate the greatest common factor of 29 and m. 29 Suppose -11 + 17 = c. Suppose 47 = c*m - 25. Suppose -2*v + 2*i = -2 - 2, 0 = 3*v + 3*i - m. What is the greatest common divisor of 6 and v? 3 Suppose -2*g + 67790 = 5*s, 3*g + 12 = -3. Calculate the greatest common factor of s and 24. 24 Let p = 15 - 3. Let d = 147 - 142. Suppose -p*g + 126 = -d*g. Calculate the highest common divisor of 162 and g. 18 Let f(g) = 6*g**2 - 56*g - 288. Let h be f(-6). What is the highest common divisor of 1408 and h? 88 Let s be ((-4)/(-20) + (-663)/15)*-1. Suppose -46*r + s*r = -2*c - 1150, -2*c + 2300 = 4*r. Calculate the highest common divisor of 23 and r. 23 Let w = -13227 - -13243. What is the highest common factor of 8048 and w? 16 Suppose 477 = 3*n + 4*v + v, 0 = 2*n + 5*v - 313. Suppose -4*x
{ "pile_set_name": "DM Mathematics" }
1*w/(-1). Is x less than 0? True Let u be 15*(2 - 35/25). Let y = -92 + 78. Let t be 1/(((-8)/y)/4). Which is smaller: u or t? t Let u be 6779*2/(-44)*2. Let r = 617 + u. Let z = 220 + -218. Which is greater: r or z? z Let j(s) = 5*s + 30 + 9 - 2*s - 3. Let z be (-1 - (-2 - -2))*0. Let q be j(z). Is q less than or equal to 37? True Let q(h) = h**3 + 27*h**2 - 148*h - 270. Let o be q(7). Suppose -3*t + 58 + 1025 = 0. Which is smaller: t or o? o Let j(g) = -289*g - 579. Let b be j(-2). Are b and 11/336 equal? False Let f be 2898/2894 + (-2)/2. Let c(k) = k**2 + 595*k - 1793. Let g be c(3). Which is greater: g or f? g Suppose -7*b + 6 = -22. Let m = 72 - 72. Suppose m = -b*p + 29 - 37. Do p and -18/11 have the same value? False Let m(a) = 40*a - 599. Let x be m(15). Which is smaller: x or 12/383? 12/383 Suppose -135 = -13*d + 255. Suppose -d = -5*a + 3*x, 2*a = 4*x + 7 + 5. Which is bigger: 47/8 or a? a Let k = -221.6 + 220.6. Is k at most as big as -351/4? False Let z = 293.01 + -0.01. Let c = -292.9 + z. Are c and -0.2 equal? False Let g(z) = 42*z**3 - 2*z**2 + 5*z - 8. Let v be g(-4). Which is greater: -2747 or v? -2747 Let s = 8 - 3. Let t(l) = -8*l + 3 + 8 + 135*l**2 - 133*l**2. Let d be t(3). Is d at least as big as s? True Let t = 16658 + -16660. Is 112.9 greater than t? True Let v = -11 - -11.2. Let n = 3.4 + -1.9. Is n equal to v? False Let a = 52 + 18. Suppose 0 = 14*w - 70 - a. Are w and 2 unequal? True Let g(p) = p**3 - 11*p**2 - 3*p + 8. Let q be g(13). Suppose 7*c - 239 = q. Suppose -5*x - 67 = -a + c, -5*x - 135 = -3*a. Is -30 bigger than x? False Let r be (-23093)/1015 + 10 - -13. Is 0 less than or equal to r? True Suppose 32*b - 5*b = 0. Suppose 3*u + 1522 + 200 = b. Which is smaller: 0.1 or u? u Let q = 71 + -213. Let t = q - -150. Which is greater: t or 5? t Let w = 2965 + -2983.89. Let i = 408.4 + -427.4. Let r = w - i. Which is greater: r or 0.4? 0.4 Let k be (1/(-4) + 1)/(16/832). Let t = 39 - k. Suppose t = -3*f - 13 + 1. Is -8 at least as big as f? False Suppose -10 = -2*x, 4*i - 2*x + 1 = 3. Suppose -a = -i*k + 4*a + 116, 0 = 5*a - 10. Is 124/3 smaller than k? True Let c = -2255 - -2256.413. Let o = c + -0.413. Which is smaller: 6/13 or o? 6/13 Let f(n) = 202*n - 1359. Let i be f(7). Which is bigger: 49 or i? i Let k be -3*(2 - 3) + 1. Let p be (-6)/k*(-12)/(-153). Let b be (-16)/4 + (3 - 0). Is p != b? True Let v be -12*(6/(-3) + 0)*1. Suppose 7*k + 5*r + 52 = 4*k, -2*r + v = -2*k. Let h be k/6 - 1/(-3). Is -5 at least h? False Let h = -8 + 8. Let b(c) = -5*c + 7. Let t be b(5). Let d = t - -27. Which is bigger: d or h? d Suppose -3*l + 2*z = -8, -16*z = l - 18*z - 8. Are -98/373 and l non-equal? True Let z = -0.025 - 3.885. Let a = 9.21 + z. Is a at least -0.1? True Let s = 41/85 + -11779/23715. Suppose 5*g = 45, 9*j + 3*g - 2803 = -2767. Which is bigger: s or j? j Let j = -2365108/3 - -779626. Which is bigger: j or -8744? j Let q = -0.01047 + -9.35953. Is -1 at least q? True Let c be ((-553)/(-49))/((-14)/(-5 + -93)). Does c = 82? False Let j be 1/(1*(-1)/(-5)). Suppose -5*g = k + 4*k + 15, -13 = j*k + 3*g. Let u = 0.25 - 0.17. Which is smaller: k or u? k Let z = -34.2 - -30.2. Which is bigger: 9/34 or z? 9/34 Let r(t) = -3936*t + 186. Let w be r(1). Which is smaller: -3752 or w? -3752 Let w = 3325.9 - 3326. Which is bigger: w or 1894? 1894 Suppose -2*x = 5*b + 4 + 11, 5*x = b - 24. Let s = 235326/139 - 1693. Is b at least as big as s? False Suppose -3*t + 0*t = -9. Suppose 3*u = -4*w + t*w + 4, -4*u + w + 3 = 0. Which is smaller: -1/34 or u? -1/34 Let f = 5393 - 5128. Do -2/11 and f have the same value? False Suppose -7*y = -110 + 5. Let r = y - -21. Let v = r + -37. Which is smaller: 3/52 or v? v Suppose 28104 + 104574 = 63*w. Is w at most 2106? True Let d = -11473 - -11473. Which is smaller: -2914 or d? -2914 Let s(t) = -23*t - 144. Let p be s(-12). Suppose 128*v - p*v = -44. Which is greater: -1 or v? v Let h = 3121 - 3121.3. Which is smaller: h or 765? h Let p be (-20)/(-12) + (-2 - 0). Do -1534 and p have the same value? False Suppose 46*q + 108*q - 6 = -160. Which is bigger: -1/2612 or q? -1/2612 Let y be ((-78)/(-8))/1*4. Suppose -y*g = -42*g - 12. Let p be (0*(-4)/(-12))/g. Which is bigger: -1/16 or p? p Suppose -104 = 5*f + t + 44, -3*f - 2*t - 93 = 0. Let p = f - -38. Suppose -h - p = 5*x - 53, 151 = 5*h + 2*x. Which is smaller: h or 30? h Let h(l) = -5*l**3 - 9*l**2 - 41*l - 9. Let a be h(-9). Suppose -43*s + a = -25*s. Which is smaller: 181 or s? 181 Suppose 4*k + 4*s + 4 = 0, -k - s + 7 = -2*s. Suppose 0 = y + k*y + y. Suppose y = -15*i + 32 + 13. Is i bigger than -12/11? True Let n = -316 + 195. Let h = 106 + n. Let i be (-5)/4 - 3/(-12). Which is greater: h or i? i Let r be 1 + 8/6 + 3941088/(-1098). Is -3589 smaller than r? True Suppose 66 = 2*w - 2*j, 56 = 3*w - 4*j - 48. Let f be (-1)/5*w/(-14). Is f greater than 22? False Let a(c) = -3*c**3 + 12*c**2 - c - 19. Let u be a(3). Which is smaller: -0.015 or u? -0.015 Let v = -22664.483 - -22536.6. Let b = -128 - v. Do -0.2 and b have the same value? False Let a(g) be the second derivative of -g**3/6 + 3*g**2 - 18*g. Let t be a(4). Suppose t*b + 6 = 4*w, 4*b - 5*w + 8 = -1. Which is smaller: 3/91 or b? b Let d(u) = -15*u. Let k be d(-1). Let l be (-10)/k - (-711)/216. Which is bigger: l or 4? 4 Suppose -3*j - 57 = -0*j. Let i be 6 - (-5 - -5) - 5. Let l be 1*(-114)/(6/i). Is j < l? False Let o(x) = -842*x - 1288. Let t be o(3). Which is smaller: -3813 or t? t Let k be ((-27)/12)/(3/(-12)). Let u(c) = c - 3. Let h be u(k). Suppose 0 = h*f - 2*f - 16, 0 = g - f. Is 16/3 smaller than g? False Let c(k) = -2*k**3 + 7*k**2 - 6*k + 2. Let h be c(2). Let v be 51/(-6) + h - 4/(-8). Let s(l) = -10*l - 19. Let d be s(v). Is d > 39? True Let a = -6.659 + -63.341. Is 1.4 > a? True Let m = -568353.626 + 568353. Let n = 47 - 140/3. Is n at most as big as m? False Suppose -4*m + 16 = 0, -6*w + m = -5*w - 23. Which is greater: -260 or w? w Let g = 53 - 52. Suppose -m = h, 3*h - 4*h = -g. Is m at least -3/109? False Let a = -628 + 631. Suppose 4*z + 13 = -a*h, 22*h - 12 = 26*h + 4*z. Is h < 4/289? False Let j(u) = -u**3 - 23*u**2 + 71*u - 6. Let q be j(-26). Let s = -234 + q. Which is smaller: s or -57? s Suppose -2*g - t = 1226, 4880 = 3*g - 11*g + 2*t. Let l = g + 435. Is -176 greater than or equal to l? True Let m(s) = s**3 + 9*s**2 + 67*s + 801. Let g be m(-10). Is g bigger than -156? True Let h = 387 + -338. Let f be 2 + 93/2 + (-75)/(-50). Which is bigger: h or f? f Suppose -2*p + h - 11 + 10 = 0, -4*h + 8 = -4*p. Is 1/1615 > p? False Let t be (-1590)/477*(-12)/20. Is 123/187 equal to t? False Suppose -2 = -4*o + 6. Let q be (-37 - -36) + (-2)/o. Which is smaller: -5/7 or q? q Let o be 5/25 - (-141)/(-5). Let c(g) = -7*g**2 - 112*g - 300. Let w be c(-3). Is o at least w? False Let q = 505 - 361. Let a = -107 + q. Is a not equal to 37? False Suppose -5*s - 64 = -s. Let c = 17 + s. Let x = -91/540 - -3/20. Which is smaller: x or c? x Let g(u) = 4*u**2 - 17*u + 31. Let j(a) = -21*a**2 + 81*a - 156. Let z(p) = 11*g(p) + 2*j(p). Let r be z(10). Which is greater: r or 7? 7 Let n be (6/(-4))/((-9)/(-5316)). Let d = 885 + n. Is d bigger than -2/613? False Let j = 45.1 - 63. Let p = j - -16.9. Which is smaller: -0.7 or p? p Suppose 10*s - 1091 + 1951 = 0. Let y be 171/(-2) - 5/10. Is y less than s? False Let b = 184.43 + 3.57. Let s = b - 192. Is s <= 10? True Let d = -43313 + 43321. Let k = -0.7 + 0.56. Is k less than d? True Suppose -7*n - 63 = -63. Which is smaller: n or 6/721? n Let t = -21 - -26. Let x be (2/(-12))/((-7)/(-1946)). Let i = x - -46. Is t smaller than i? False Let j be ((-1)/1)/(-10*31/(-620)). Is j bigger than 12/5? False Let x = -24 + 26. Suppose -5*w - 235 - 175 = t, -5*w = -x*t + 425. Which is smaller: -82 or w? w Let j(f) = -2*f**2 - 12*f + 4. Let t be j(-6). Suppose t*u + 36 - 20 = 0. Which is bigger: u or 3? 3 Let t = -372 - -366. Let p be -10*(-6)/105*(-21)/t. Suppose 0*d + 5*d = 5*z - 20, -d - 2 = 0. Does p = z? True Suppose -w - 2*u + 6 - 4 = 0, 5 = 3*w + 5*u. Let d(x) = -3*x + 6. Let a be d(w). Let v be 1188/(-2895) + ((-60)/(-25))/a. Which is greater: 0 or v? 0 Let v(o) = o - 3. Let k be v(-4). Let z = 162 - 162. Suppose z = 4*m + 108 - 88.
{ "pile_set_name": "DM Mathematics" }
75 is divided by 20? 15 Calculate the remainder when 4157 is divided by 21. 20 Calculate the remainder when 65 is divided by 36. 29 Calculate the remainder when 643 is divided by 139. 87 Calculate the remainder when 623 is divided by 19. 15 Calculate the remainder when 35 is divided by 22. 13 What is the remainder when 636 is divided by 170? 126 Calculate the remainder when 512 is divided by 49. 22 What is the remainder when 43 is divided by 38? 5 Calculate the remainder when 827 is divided by 18. 17 Calculate the remainder when 1417 is divided by 154. 31 What is the remainder when 4645 is divided by 150? 145 Calculate the remainder when 81 is divided by 30. 21 What is the remainder when 348 is divided by 51? 42 Calculate the remainder when 5126 is divided by 38. 34 What is the remainder when 591 is divided by 27? 24 Calculate the remainder when 14 is divided by 13. 1 What is the remainder when 365 is divided by 74? 69 Calculate the remainder when 753 is divided by 34. 5 Calculate the remainder when 4591 is divided by 41. 40 Calculate the remainder when 573 is divided by 350. 223 Calculate the remainder when 282 is divided by 99. 84 Calculate the remainder when 101 is divided by 4. 1 Calculate the remainder when 420 is divided by 85. 80 What is the remainder when 598 is divided by 20? 18 Calculate the remainder when 11 is divided by 2. 1 What is the remainder when 77 is divided by 38? 1 What is the remainder when 117 is divided by 26? 13 Calculate the remainder when 374 is divided by 29. 26 What is the remainder when 293 is divided by 61? 49 Calculate the remainder when 131 is divided by 32. 3 What is the remainder when 16211 is divided by 31? 29 What is the remainder when 565 is divided by 528? 37 What is the remainder when 182 is divided by 16? 6 Calculate the remainder when 1561 is divided by 68. 65 What is the remainder when 225 is divided by 134? 91 What is the remainder when 263 is divided by 44? 43 What is the remainder when 401 is divided by 54? 23 Calculate the remainder when 75 is divided by 7. 5 Calculate the remainder when 998 is divided by 50. 48 Calculate the remainder when 149 is divided by 26. 19 Calculate the remainder when 74 is divided by 7. 4 Calculate the remainder when 2948 is divided by 1471. 6 Calculate the remainder when 179 is divided by 13. 10 Calculate the remainder when 170 is divided by 38. 18 What is the remainder when 180 is divided by 39? 24 Calculate the remainder when 429 is divided by 16. 13 Calculate the remainder when 254 is divided by 132. 122 Calculate the remainder when 202 is divided by 71. 60 Calculate the remainder when 949 is divided by 95. 94 What is the remainder when 94 is divided by 33? 28 Calculate the remainder when 98 is divided by 21. 14 What is the remainder when 1467 is divided by 6? 3 Calculate the remainder when 329 is divided by 11. 10 What is the remainder when 10 is divided by 3? 1 What is the remainder when 203 is divided by 23? 19 What is the remainder when 16 is divided by 4? 0 Calculate the remainder when 3236 is divided by 644. 16 What is the remainder when 179 is divided by 67? 45 What is the remainder when 898 is divided by 12? 10 Calculate the remainder when 3063 is divided by 437. 4 What is the remainder when 1060 is divided by 9? 7 What is the remainder when 1421 is divided by 4? 1 What is the remainder when 525 is divided by 53? 48 Calculate the remainder when 393 is divided by 12. 9 Calculate the remainder when 183 is divided by 97. 86 What is the remainder when 130 is divided by 25? 5 What is the remainder when 503 is divided by 14? 13 What is the remainder when 1062 is divided by 81? 9 What is the remainder when 1415 is divided by 17? 4 Calculate the remainder when 2137 is divided by 1062. 13 Calculate the remainder when 18626 is divided by 10. 6 What is the remainder when 123 is divided by 42? 39 What is the remainder when 91 is divided by 37? 17 Calculate the remainder when 50 is divided by 17. 16 Calculate the remainder when 2049 is divided by 24. 9 What is the remainder when 882 is divided by 304? 274 What is the remainder when 420 is divided by 25? 20 Calculate the remainder when 46 is divided by 10. 6 What is the remainder when 1888 is divided by 1867? 21 What is the remainder when 1401 is divided by 36? 33 What is the remainder when 8118 is divided by 145? 143 Calculate the remainder when 347 is divided by 88. 83 What is the remainder when 2697 is divided by 71? 70 Calculate the remainder when 69 is divided by 14. 13 Calculate the remainder when 60 is divided by 26. 8 What is the remainder when 186 is divided by 95? 91 What is the remainder when 353 is divided by 26? 15 Calculate the remainder when 361 is divided by 91. 88 What is the remainder when 613 is divided by 156? 145 What is the remainder when 189 is divided by 79? 31 Calculate the remainder when 4873 is divided by 6. 1 What is the remainder when 12471 is divided by 9? 6 Calculate the remainder when 49 is divided by 10. 9 What is the remainder when 423 is divided by 85? 83 What is the remainder when 113 is divided by 53? 7 What is the remainder when 5039 is divided by 84? 83 What is the remainder when 488 is divided by 17? 12 What is the remainder when 202 is divided by 12? 10 Calculate the remainder when 839 is divided by 602. 237 Calculate the remainder when 368 is divided by 219. 149 Calculate the remainder when 7902 is divided by 104. 102 What is the remainder when 113 is divided by 13? 9 Calculate the remainder when 2570 is divided by 184. 178 What is the remainder when 83 is divided by 80? 3 Calculate the remainder when 221 is divided by 25. 21 What is the remainder when 800 is divided by 226? 122 Calculate the remainder when 1458 is divided by 55. 28 Calculate the remainder when 226 is divided by 53. 14 What is the remainder when 107 is divided by 13? 3 Calculate the remainder when 2219 is divided by 15. 14 What is the remainder when 173 is divided by 58? 57 What is the remainder when 196 is divided by 57? 25 Calculate the remainder when 531 is divided by 139. 114 What is the remainder when 418 is divided by 6? 4 Calculate the remainder when 51 is divided by 13. 12 Calculate the remainder when 2208 is divided by 82. 76 What is the remainder when 4116 is divided by 1363? 27 Calculate the remainder when 215 is divided by 55. 50 What is the remainder when 17521 is divided by 59? 57 What is the remainder when 304 is divided by 7? 3 What is the remainder when 269 is divided by 62? 21 What is the remainder when 199 is divided by 12? 7 What is the remainder when 249 is divided by 56? 25 What is the remainder when 98 is divided by 94? 4 Calculate the remainder when 2044 is divided by 33. 31 What is the remainder when 634 is divided by 5? 4 Calculate the remainder when 573 is divided by 72. 69 What is the remainder when 231 is divided by 47? 43 Calculate the remainder when 239 is divided by 107. 25 What is the remainder when 307 is divided by 173? 134 What is the remainder when 158 is divided by 68? 22 What is the remainder when 3429 is divided by 14? 13 What is the remainder when 1204 is divided by 17? 14 Calculate the remainder when 557 is divided by 3. 2 Calculate the remainder when 396 is divided by 116. 48 Calculate the remainder when 677 is divided by 117. 92 What is the remainder when 5311 is divided by 83? 82 Calculate the remainder when 686 is divided by 50. 36 Calculate the remainder when 2265 is divided by 73. 2 What is the remainder when 74 is divided by 38? 36 What is the remainder when 61 is divided by 3? 1 What is the remainder when 50 is divided by 33? 17 Calculate the remainder when 93 is divided by 71. 22 What is the remainder when 768 is divided by 22? 20 What is the remainder when 261 is divided by 12? 9 Calculate the remainder when 195 is divided by 68. 59 Calculate the remainder when 1023 is divided by 27. 24 What is the remainder when 150 is divided by 48? 6 What is the remainder when 1905 is divided by 83? 79 Calculate the remainder when 431 is divided by 23. 17 What is the remainder when 19 is divided by 11? 8 Calculate the remainder when 54 is divided by 33. 21 What is the remainder when 785 is divided by 31? 10 What is the remainder when 4112 is divided by 11? 9 What is the r
{ "pile_set_name": "DM Mathematics" }
2 + b + 3*p - 2*p + 0*p. Let x be u(-5). Solve 0 = -5*v + 2*h + 2 - x, h = -v + 3 for v. 1 Let j be 1/(-1)*1 + 21. Suppose -24*k - k + 425 = 0. Solve j = -5*g, 0 = -2*n - 3*g - k + 5 for n. 0 Let q(d) = d**3 - 8*d**2 + 5*d + 16. Let z be q(7). Solve -20 = -4*j - 5*s - 2, 4*s = 3*j + z for j. 2 Let x(z) = z**2 + 13*z + 25. Let r be x(-11). Solve -4*g - 7 = 3*m, r*m - g = -3*g - 11 for m. -5 Let f be (-1 - 2)*(-4)/6. Suppose -4*t - 45 = -9*t + 5*n, -3*t - f*n + 7 = 0. Solve 2*d - t*d - 17 = -2*s, 4*s = -4*d - 16 for d. -5 Suppose -4*k + 8 = 2*x, 0*k - k = -4*x - 20. Let p = 0 - -3. Suppose -v = -2 - p. Solve 3*g - k = q, -4*g = -2*q - v + 1 for q. 2 Let o = 5 + 0. Suppose 0 = 3*v + v. Solve 4*t + 3*r - 27 = 0, v = -o*t + 3*t + 4*r - 14 for t. 3 Let i be ((-115)/15 + 5)*(-3)/4. Solve -i*z - 2*a = 2, a - 1 = 2*z + 4*a for z. -2 Let r = 24 - 21. Suppose r*f - 2*f - 5 = 0. Solve 3*u + 2*j = u, 2*j = -f*u + 15 for u. 5 Suppose 14 = -5*x + 4. Let s be 2 + (x - -1*25). Solve -5*g - 17 = -z - g, 2*z = 5*g + s for z. 5 Suppose 0 = -y + 2*y. Let n = 59 - 56. Solve -5*l - 25 = y, -n*g + 2*l + 2 = -7*g for g. 2 Suppose 2*v - 16 + 4 = 0. Suppose -3*o + 6 = -v. Solve 0 = 4*y, -o*k - 4*y + 5 = -3*k for k. 5 Suppose -2*g = 2*g - f - 24, -3*g + 4*f = -31. Suppose 0*q - 30 = -g*q. Solve -h + 11 = 2*j, -q*j + 4*j = -3*h + 1 for h. 3 Let f(y) be the first derivative of 1 - 1/3*y**3 + 2*y + 3*y**2. Let s be f(4). Solve -5*b = 5*v, -5*b = 3*v - 0 - s for v. -5 Let p be 10/4*16/10. Suppose 4*n = 20, -3*a + 35 = 2*a + p*n. Solve 4*o = -3*c + a, -15 + 6 = 3*c for o. 3 Let o(g) = 4*g**2 - g + 2. Let u be o(1). Solve 10 = -u*y + 3*c - 5*c, 0 = 5*c for y. -2 Let k(i) be the first derivative of -i**4/4 + 11*i**3/3 + i**2/2 - 8*i - 5. Let d be k(11). Solve -l + 4*w - 2 = 2*l, -2*l + 10 = d*w for l. 2 Suppose -i = -0*i - 4. Suppose 0 = -3*a - i*l + 25, 0 = 5*a - 7*l + 3*l + 1. Solve -a*n - n + 5*h = 6, 3*n + 5*h = 13 for n. 1 Suppose -6*u + 23 = -7. Solve -4*s - s - 22 = -a, 0 = -3*a + u*s + 26 for a. 2 Let x be 1 + (5 + -3 - 6) - -8. Solve 0 = 3*o + 2*s + x, 4*o + 14 = s - 0*s for o. -3 Let q(z) be the third derivative of -z**4/24 + 5*z**3/6 - 5*z**2. Let y be q(3). Solve 3*g - 28 = -5*m, 0 = -4*g + 2*g + y for m. 5 Let q be (-78)/4*(-4)/6. Solve 0 = 5*c - 5*j + 30, j - q = 3*c + 3 for c. -5 Suppose -15*o - 24 = -264. Solve 3*c = 4*h + 23, -c + 3*h + o = c for c. 5 Let t(n) = -n**3 - 7*n**2 - 7*n - 9. Let k be t(-6). Let b = 3 + k. Let u be (2 + -2)/(-2 - b). Solve -1 = 2*h + 1, -3*m - 3*h - 6 = u for m. -1 Let u(b) = -b**3 - 10*b**2 - 3*b + 1. Let k be u(-10). Solve 2*a = -4*x - 26, 2*x + 2*x = -3*a - k for x. -4 Let w = 40 + -27. Solve 5*o - w = y, 5*y = -o - 2*o - 9 for o. 2 Let r(b) = -b**2 + 8*b - 7. Let o be r(5). Suppose -4*x = -4*f - o, f + 3*x + 1 = 19. Solve 2 + 3 = -3*g - 5*t, 3 = 4*g - f*t for g. 0 Suppose -10*q = -2*q - 32. Solve 3*m = 3*r - 12, q*r - 9 = -1 for m. -2 Let f(d) be the third derivative of d**4/12 - 3*d**3 - 2*d**2. Let j be f(9). Solve -i = 4*v + 4, -i + 2 = -j*i + v for i. 4 Suppose 0 = 5*x + 2*p - 9 - 1, -3*p = 3*x - 6. Let d(r) = -4 + 0 + x*r**2 - r**2 + 3*r. Let z be d(-5). Solve 3*i + 12 = 4*l + l, -3*i - l = -z for i. 1 Suppose -b = 5*m + 22, m = -3*b + 3*m + 19. Solve -5*u - 5 + 2 = -3*j, u = -b*j - 15 for j. -4 Let l = 12 - 6. Suppose -5*f + 3*f - 3*h + 11 = 0, -2*h + 10 = 2*f. Solve l*s + p = 3*s - f, 0 = -4*s + 2*p - 12 for s. -2 Suppose 2*p + 4*b = -158, -392 = 4*p - b - 94. Let a be ((-2)/(-6))/((-1)/p). Solve -5*c - a = -3*o, c + 18 = 2*c + 4*o for c. -2 Suppose 0 = -5*y + 2*y + 12. Solve 0 = -3*n, 0*p - y*p - n = 20 for p. -5 Let u be 10/(-35) + (-6)/(-21). Solve -3*h + 6*h = u, 3*h = 5*y for y. 0 Let y be 5 - (0 + 2 + 0). Let k(p) = p - 5. Let z(x) = x**2 - 6*x + 5. Let i be z(6). Let r be k(i). Solve 4*t + 19 = 4*j + y, r = -3*j - t + 16 for j. 5 Let i = 9 + -9. Solve 4*m + 2 = -2*r + 6, i = m + 2*r + 2 for m. 2 Suppose 0 = -2*p + 4*q + 4, 2 = 5*p - 5*q - 3. Solve 2*l = -3*a - 22, p*l = 3*l + 4*a + 31 for l. -5 Suppose -1 = -3*h - 4*q + 3, 2*q - 2 = -5*h. Solve w + 1 = -b, 3*b - 1 = -4*w - h*w for w. 4 Suppose -4*c - 6 = -7*c. Solve -2*w - c*u = -w - 4, 8 = 3*w + 2*u for w. 2 Suppose -y = -3*y + 6. Suppose 5*w - y - 17 = 0. Let p be 1/(-4) + (-33)/(-4). Solve 4*r - 3*a + a = -p, r = 2*a + w for r. -4 Let o = -10 + 12. Suppose 0 = 2*p + p - o*t - 12, 2*t - 2 = -4*p. Suppose 5*j + 0 = 25. Solve -p*w - z - 4 = -j*z, 0 = z for w. -2 Let q be ((-425)/(-68))/(1/(-4)). Let n = q - -27. Solve -2*d - d = 15, -2*d = n*s for s. 5 Suppose 6 - 15 = -3*f. Suppose 0 = a + f*u - 26, 5*a - u - 106 = -4*u. Solve 2*v + m + m = 4, a = 4*m for v. -3 Let a be (-10 + -20)*(-1)/(-2)*-1. Solve 2*q = -5*l + 22 + 9, -3*l = -a for q. 3 Suppose -2*z = 4, 4*v = z - 1 - 21. Let g be -5*v/15*1. Solve k - 10 + 3 = 2*i, g*i + 4 = 0 for k. 3 Let u be (-1)/2*2 - 0. Let k = 5 + u. Suppose k*z - 7 - 1 = 0. Solve -17 = 5*a + z*h, 2*h = 2*a + a + 7 for a. -3 Let z be ((-8)/10)/((-4)/50). Suppose -4*j = -s - z, 3*j - 3*s = -8*s - 4. Suppose 2*d - 8 = -j*d. Solve 0 = i - 3*q + q + d, 2*q = -4*i + 12 for i. 2 Suppose 0 = -3*q + 9. Suppose q*f = 5*f - 4. Suppose 5*z = 5*t - 20, -f*t = 4*z - 31 + 5. Solve 0*d + d = -5*h + 19, h - t = -d for h. 3 Let m be (0 + 6/2)*8/12. Solve 5 = t + 5*q, 0 = -m*t - t + 2*q + 15 for t. 5 Suppose 3*s = -0 + 6. Solve 0 = -a - 3*a - 2*v - 12, -a + 2*v = -s for a. -2 Suppose -6*v = -0*v - 12. Solve 10 = -5*d - p, v*d - 4*p = -p - 21 for d. -3 Suppose -x = -t + 1 + 9, 3*t = -4*x - 19. Let s = -5 - x. Suppose p + 4*w - 29 = -4*p, -18 = -4*p + s*w. Solve 4*l - 27 = 3*n, -14 = n + 2*l - p*l for n. -5 Suppose -4*h - 9 = -h. Let v = -1 - h. Solve -3*j + v = 5*r + 8, 0 = 2*r + 6 for j. 3 Suppose -48*h + 10 = -43*h. Suppose -6*n = -h*n + 2*g - 38, g = 3*n - 21. Solve -3*l = 5*s + n, 3*l + l + 5*s = -4 for l. 4 Let y(f) = -f**3 + 16*f**2 - 14*f + 8. Let t be y(15). Solve -b + 2*z - z = -9, -2*z - t = -3*b for b. 5 Suppose 0*w + 2*w = 28. Solve -4*q + 12 = 5*j, -4*j + w = q - 0*j for q. -2 Let k be 10/15*(-1 - 17/(-2)). Solve -k*y = 4*n - 2*y + 24, -3*n + y = 5 for n. -3 Let w(y) = 8 + 6*y - 7*y + 0. Let h be w(6). Suppose -8 = -2*f + h. Solve -22 = -3*b + b + 4*c, 0 = -5*b - f*c + 10 for b. 5 Let m = 21 - 11. Suppose 3*a = 5*d + m, 4*d - 22 = -5*a + 7*d. Solve -2*s - 8 = -a*n - 0*s, 3*n - 4*s - 16 = 0 for n. 0 Let t be 0*(0 - -2 - 1). Suppose r + r = t. Suppose r = -q + 6*q. Solve 4*y - 14 = -z, q = -0*z + z - 3*y + 7 for z. 2 Let y be 11/4 + (-4)/(-16). Suppose -3*x = -3*s + 15, -s + 4*x + 8 = -0*s. Suppose 0 = s*l - 2*l - 4. Solve y*z - 5 = -5*c - 2*z, -l*c = -2*z - 14 for c. 4 Let q(j) = -j + 2. Let c be q(4). Let v = c - -2. Suppose 19 = 2*s + k - 14, v = -3*s - 5*k + 67. Solve 4*i + 3*g - 2 + 5 = 0, -3*i + g = -s for i. 3 Let b = -11 - -14. Solve o - 2 = -0*s + s, 0 = b*s + 15 for o. -3 Suppose -f + 3*f - 12 = 0. Let a = 11 - f. Solve 4*m + 36 = a*u, -2*m + 6*u - 3*u = 20 for m. -4 Let w(n) = -2*n + 5. Let l be w(-4). Suppose -3 = 2*z - l. Solve -s = -c - 3*c - 17, 40 = 5*s - z*c for s. 5 Let w(g) = -g**2 - 6*g + 2. Let x be w(-6). Solve -x*r - 2*n - n = 0, -10 = 5*n for r. 3 Let y(d) = 9*d**2 - 15*d - 3. Let f(k) = -4*k**2 + 7*k + 2. Let w(s) = 7*f(s) + 3*y(s). Let r be w(4). Solve 5*j + r = -7*h + 2*h, 0 = -3*h + j - 3 for h. -1 Let c be -4*(2 + 11/(-4)). Suppose d - 5*d = -20. Solve 2*j - 21 + d = -4*f, c*j - 4 = 4*f for j. 4 Let y = 9 + -5. Suppose -6 = -p + b, -2*p = -3*p - 4*b - 9. Suppose p*l + l = 20. Solve -10 + 2 = y*i, -19 = 3*n + l*i for n. -3 Let x = -4 - -6. Suppose -x - 8 = -2*p. Suppose 2*m = -2*f + 2, m + 4*f = 3 - 8. Solve -p*v + 23 = 2*l + l, -m*v + 12 = 0 for l. 1 Let v(x) = 10*x + 3*x**2 - x**3 + 4 + 6*x**2 - 6 - 2. Let m be v(10). Let k be (-36)/((-1)/(m/(-6))). Solve 5*y + d + d - k = 0, -y = -5*d + 6 for y. 4 Let a = 35 - 25. Solve -5*y - a = -2*x, -3*y = -3*x + 2*y + 10 for x. 0 Let i be (-8)/(-10)*(-5)/(-2). Solve 7 + 11 = -2*o + i*b, 0 = -4*o + 2*b - 26 for o. -4 Let u = -114 - -115. Let m be (-1 - -1)*2/4. Solve 0 = -v - o + u - 4, 5*v + 3*o + 5 = m for v. 2 Let k(f) = -f - 3. Let z be k(-7). Solve 0 = -2*r - z*p + 2*p - 8, -3*r + 5*p = -28 for r. 1 Suppose -3*z = -7*z + 20. Suppose -25 = -0*o - 2*o - 5*p, 2*o = z*p +
{ "pile_set_name": "DM Mathematics" }
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{ "pile_set_name": "DM Mathematics" }
t t = k + -138. Let z(r) = -r**2 + 7*r + 5. What is z(t)? 5 Let p(y) be the second derivative of -1/12*y**4 - 4*y**2 + 2*y**3 - 1 - 3*y. Suppose -40 = 3*o - 7*o. Determine p(o). 12 Let s(d) be the first derivative of 11*d**2/2 + 181*d + 2463. Give s(-16). 5 Let f(z) = -z**2 - 124*z - 14. Let p(r) = r**2 + 87*r + 13. Let t(a) = -2*f(a) - 3*p(a). Determine t(-13). -11 Let n(f) be the second derivative of 1/12*f**4 + 0 - 3/2*f**2 + 1/2*f**3 - 40*f. What is n(-3)? -3 Let w(c) = -c**3 - 13*c**2 - c - 29. Suppose -55 = 4*d + 2*f + f, 3*d + 34 = 5*f. What is w(d)? -16 Let y(g) = g**3 + 3*g**2 + 2*g. Let m be y(-2). Let o(r) = 1188*r + 165. Let n(d) = 457*d + 66. Let s(l) = 13*n(l) - 5*o(l). Calculate s(m). 33 Let w(r) = 7*r**3 + 3*r**2 - 4*r + 2. Suppose -8*u - u = -2*u - 7. Give w(u). 8 Let u be ((-153)/18 + 9 + -1)*-18. Let y(c) = -6*c + 47. Calculate y(u). -7 Let m = -37 - -39. Let g be 22 - (-1)/1*(m - 3). Let j(s) = -5*s**2 - g + 3*s**2 + 23. Calculate j(-3). -16 Let x(t) be the first derivative of t**4/4 + 5*t**3/3 - t**2/2 - 7*t + 1. Suppose -8 + 14 = -7*s - 29. Give x(s). -2 Let p(x) = -21*x + 18. Let z(r) = 2*r - 6. Let l(d) = 2*d - 1. Let i(b) = 3*l(b) + z(b). Let o(h) = -5*i(h) - 2*p(h). What is o(-3)? 3 Let d(b) = 7*b - 18*b + 25*b - 1 - 1 + 4. Give d(0). 2 Let v be (-22 + 1)*(-16)/(2688/(-72)). Let p(q) = -q**3 - 7*q**2 + 11*q - 6. What is p(v)? 57 Let h = 137 - 120. Let q be 7/(49/(-40)) + 2/(-7). Let l(x) = -5*x**2 - 11*x + 3. Let t(p) = -14*p**2 - 32*p + 8. Let a(i) = h*l(i) + q*t(i). What is a(6)? -3 Let v(i) = -i**2 + 8*i - 8. Suppose 4*y - 14 - 6 = 0, 2*y + 8 = 2*l. Calculate v(l). -17 Let a = 4 - 0. Suppose 3*s - 16 = -b - 0*b, -49 = -a*b + 3*s. Let u be 37/b - 4/(-26). Let o(f) = f**3 - 2*f**2 - 4*f + 2. Calculate o(u). -1 Let t(u) be the third derivative of -u**4/24 + 2*u**3 + 21*u**2. Suppose -24 - 172 = -14*p. Determine t(p). -2 Let w = 465 - 463. Suppose t = 5, 74 = -w*p + 6*t + 2*t. Let s(b) = b**3 + 18*b**2 + 18*b + 18. Calculate s(p). 1 Let o(g) = g + 8. Let d be ((-16)/5)/((-25)/375). Suppose 8*w = -0*w - d. Determine o(w). 2 Let k(q) = q**2 + q + 20. Let p = 85 + -80. Suppose 3*b + 30 = -o + 15, -25 = 3*o + p*b. Determine k(o). 20 Let l(d) be the second derivative of -d**5/20 + d**4/4 + 5*d**3/6 - 5*d**2/2 + 3463*d. What is l(5)? -30 Let n(s) = -3*s + s - 8467 - 3*s + 3*s + 8461. Let h(x) = -1. Let w(b) = -b + 12. Let k(u) = -3*h(u) - w(u). Let o be k(5). Give n(o). 2 Let l(j) = j**2 - j**3 + j + 2*j**3 - 5 + 1. Suppose -q + 203*b - 202*b - 9 = 0, -45 = 3*q - 5*b. What is l(q)? -4 Let c(t) = -82*t**3 - t**2 + 2*t - 1. Suppose 17*l = 3*l + 21*l - 7. Determine c(l). -82 Suppose n - 14*n + 39 = 0. Let u(h) = 2593 + 8*h**2 - h**n - 4*h + 2*h - 2586. Determine u(8). -9 Let m(q) = 54*q + 215. Let a = 12790 - 12794. What is m(a)? -1 Let w(u) = u + 1. Let i(k) = -k**2 - 11 - 2*k + 2*k**2 + 10*k + 2*k. Let b be i(-11). Suppose 4*m - 16 + b = 0, -16 = -4*q + 3*m. Determine w(q). 8 Let q(f) = -2*f**2 - 11*f + 20. Suppose 66*k - 2*w + 10 = 71*k, -10 = -5*k - w. Determine q(k). -10 Let t(d) = 11*d - 120. Suppose 4561*o - 4557*o - 10 = 30. Determine t(o). -10 Let l(u) be the first derivative of 74 - 4*u + 5*u - 2*u - 10 + 91 + 9*u**2. What is l(1)? 17 Let f(a) = 2*a**2 - 3*a + 4. Let d(r) = -3*r**2 + 4*r - 9. Let h(b) = 3*d(b) + 5*f(b). Let p be (-28)/21*18/(-4). Suppose 2*y = p*y - 24. Give h(y). 11 Suppose -50*j + 12 = -38*j. Let v(t) = -4*t**2 + 25*t - 14*t + 6*t**2 - 6*t - j - 3. Calculate v(-6). 38 Let y(d) be the first derivative of -d**3/3 + 3*d**2/2 - d + 5987. Let i(p) = p + 2 - 7 + 9 - p**2. Let f be i(0). Calculate y(f). -5 Let s(v) = -v - 1498 - 1496 + 4491 - v**2 - 1485. What is s(-6)? -18 Let s be 9/(-42) - (-133338)/8764. Let c(z) = z + 1. Let x(u) = -u**2 + 21*u - 16. Let a(j) = 5*c(j) - x(j). Give a(s). 6 Suppose 2*j + 160 = 4*j. Suppose j = 26*v - 6*v. Let i(w) = -11*w**2 + v*w + 7 + 3*w**2 + 2*w**2 + 5*w**2. Give i(6). -5 Suppose 2320 = 613*d - 468*d. Let w(g) = g**3 - 15*g**2 - 18*g + 3. Give w(d). -29 Suppose -111 - 9 = -8*u - 32*u. Let b(f) = 12*f - 31. Calculate b(u). 5 Suppose 0 = 39*g - 58*g - 190. Let v be 2*(-1 + g/(-4)). Let j(x) = -x**3 + 2*x**2 + 5*x - 2. Calculate j(v). 4 Let k(s) = -s**2 - 17*s + 4. Let c be (-2)/15 + (12/(-15) - (-2718)/(-270)). What is k(c)? 70 Let b be ((-51)/(-34))/((-5)/(-15)). Let z(f) be the first derivative of -b*f**2 + 0*f - 18. Determine z(1). -9 Let v(r) be the first derivative of r**4/4 - r**2/2 - r + 131. Let g(w) = 4*w**3 - 9*w**2 - 4*w - 4. Let t(f) = g(f) - 3*v(f). Calculate t(9). -10 Let k(u) = -u**3 - 2*u**2 - 2*u - 3. Let t = -5 - -43. Suppose 0 = -18*a - t*a - 112. What is k(a)? 1 Let a(l) = l**2 - 9*l + 6. Let f(x) = -2*x + 1356 - 3*x - 1348 + 0*x. Let y be f(7). Let j be 7*(-24)/y - 4/18. Give a(j). -12 Let p(j) = -j + 3. Let u be p(3). Let s(a) = -1 - 2 + u*a + 8 - a. Give s(-4). 9 Let l(p) = p - 5 + 4 + 0. Let z(q) = -q**3 - 6*q**2 + 26*q - 6. Let o be z(-9). Suppose 12 = 9*t + o. Determine l(t). 0 Let m(l) = l**3 - 7*l**2 - 9*l + 1. Suppose 0 = -4*h + 4*u + 24, -13*h = -15*h - 3*u + 27. Let k be h + -3 - (-13 + 11). What is m(k)? -7 Suppose -4*c = 5*r - 469, 3*r - 3*c + 4*c = 280. Let o = r - 92. Suppose -o - 31 = 8*v. Let z(x) = -3*x + 4. Give z(v). 16 Suppose 2*o + 48 = -d, 2*o = 4*d - 3*d - 48. Let u be 4/(-5)*(-180)/o. Let p(m) = -4*m - 8. Calculate p(u). 16 Let a(q) = -8475*q**3 + 14*q + 5*q + 8474*q**3 + 34 + 8*q**2. Give a(10). 24 Let u(f) = 4*f + 21. Suppose 0 = 42*w - 54 + 306. Determine u(w). -3 Let f(y) = -4*y**2 - 53*y + 14. Let a(b) = 10*b**2 + 153*b - 44. Let r(v) = -3*a(v) - 8*f(v). Determine r(17). 3 Let p(r) = -r**3 - 20*r**2 - 39*r - 18. Suppose 2679*n - 4 = 2678*n - 22. What is p(n)? 36 Let g(u) be the third derivative of u**5/60 - 3*u**3 + 2*u**2 + u - 69. Let i = 1 - 1. Determine g(i). -18 Let i(c) be the third derivative of -c**4/3 + 4*c**2. Let k be 4 + (0/(-4))/4. Suppose 4*q = k*f, -5*q - 3 = -3*f + 1. Determine i(f). 16 Let d(i) be the second derivative of i**4/24 + 7*i**3/6 + 52*i**2 - 112*i. Let a(w) be the first derivative of d(w). Let g = 1 - 6. Determine a(g). 2 Suppose 5*a - 14 - 21 = 0. Let q be 1 - a - (-8)/2. Let b(r) = 7*r + 4*r - 27*r + 15*r. What is b(q)? 2 Suppose 2*j + 0*j + w - 15 = 0, -5*w - 37 = -4*j. Let z(f) be the first derivative of -f**2 + 4*f - 1354. Determine z(j). -12 Suppose -3*q - 2*j = 0, 4*q = 9*q - 3*j - 19. Let d(f) = -2*f**q + 8 + f**2 + 28*f + 0*f**2 - 33*f. Give d(-6). 2 Let v = -18 + 22. Suppose g - 9 = j + v*g, -2*g - 1 = -j. Let s(k) be the second derivative of -k**4/12 - 2*k**3/3 - 2*k + 1. Give s(j). 3 Let j be 2/4 + (-3)/(-2). Let p(q) = q**2 + 29*q + 6. Let c(f) = -6*f - 1. Let r(l) = 10*c(l) + 2*p(l). Calculate r(j). 6 Let v(p) be the first derivative of -3*p**2/2 - p + 4. Suppose 20*x - 17*x + 3*j = 0, 0 = -3*x + 2*j - 40. Calculate v(x). 23 Let j(x) = 11*x + 10*x**2 + 2 - 16*x**3 - 78*x**3 - 75*x**3 + 168*x**3. Give j(11). 2 Let f(i) = 3*i + 26. Let q be f(-8). Suppose 2*p - 38 = -q*g, 6*g - 3*g - 4*p - 22 = 0. Suppose 0 = 14*d - 70 + g. Let c(s) = -2*s**2 + 5*s + 2. What is c(d)? -10 Let f(b) = -10087 + 3*b + 10083 - 2*b. Let u be (1 + -3)/(4/(-10)). Suppose 0 = -3*i - 2*k - 0*k, 2*k = u*i. Calculate f(i). -4 Let r(u) = u**2 + 7*u + 1. Let b be r(-3). Let g(z) = 125*z**2 + 26*z**2 - z**3 - 163*z**2 - 9 - 11*z. Calculate g(b). -9 Let i(y) = 10*y**2 + 19*y**3 + 0*y**2 + 3*y**2 + 2*y - 8*y**2 - 8*y**2. Give i(1). 18 Let b(m) = 12*m**2 + 9*m - 27. Suppose 79 = -2*p + 17*i, 3*p - 9*i + 11*i - 19 = 0. Determine b(p). 108 Let d(p) = 6*p + 1. Suppose -a = 3*a - 12, a + 41 = 4*j. Suppose -4*l - 2*q = -l - 23, -l - 4*q = -j. Suppose -l*c + 10*c - 3 = 0. Determine d(c). 7 Let i(p) = -p + 4. Let c = -4252 + 4258. Give i(c). -2 Suppose 0 = 5*y - 3*a - 169, -81 = -3*y - 25*a + 20*a. Let l(k) = k**2 - 31*k - 36. What is l(y)? -4 Let d = -10153 - -10193. Let f(i) = i**2 - 38*i - 87. Give f(d). -7 Let i(d) be the second derivative of d**3/6 + d**2/2 + 26*d. Let f be (-138)/4 + 6/4. Let z = 25 + f. Determine i(z). -7 Let x(b) be the third derivative of -b**6/120 + b**5/5 - 13*b**4/24 + 7*b**3/3 - 491*b**2. Give x(11). -8 Let r(d) = -214*d - 2356. Let v be r(-11). Let y(w) = -4*w**2 - w. Give y(v). -14 Let
{ "pile_set_name": "DM Mathematics" }
+ 152 + 240 = 0, 5*p - 152 = -c. What is the highest common factor of 12 and c? 12 Suppose -3*l = -5*l + 48. Let i be 2*9/l*60. Calculate the greatest common factor of 9 and i. 9 Suppose -13*x + 8*x = -205. Suppose -3*n = -5*v - x - 47, -3*v = 5*n - 192. Let c = 18 + -6. Calculate the greatest common factor of n and c. 12 Suppose -37 = -3*z + 4*u - 5, -u = -1. Let o(i) = -i**3 + 6*i**2 + 2*i + 4. Let j be o(6). Let m = -10 + j. What is the greatest common divisor of z and m? 6 Suppose 7*r = r + 270. Calculate the greatest common factor of r and 18. 9 Suppose 0 = -3*c + 15, -5*l + 2*c = -0*l + 16915. Let p be l/(-35) - 3/5. What is the highest common factor of p and 12? 12 Let k be (-91)/(-3) - 7/21. Suppose -2*o = -10, 4*p + 4*o + 18 = 2. Let t = p + 29. Calculate the greatest common divisor of t and k. 10 Let a be ((-2)/6)/((-3)/99). Let u = 29 - 7. What is the greatest common divisor of u and a? 11 Let g be -1*(4/2 - 5). Let k = g - -2. Let j be ((-168)/k)/(5/(-25)). Calculate the greatest common divisor of j and 21. 21 Let a = -219 - -307. What is the greatest common factor of a and 16? 8 Let j = -25 + 52. What is the greatest common divisor of 18 and j? 9 Let d be (-8)/36 - (-182)/9. What is the greatest common divisor of 80 and d? 20 Let x = -6 + 11. Suppose 2 = f, -x*o = -7*f + 2*f - 450. Calculate the highest common divisor of o and 23. 23 Let q(j) = -j**2 - j - 1. Suppose -4*s - 5 + 1 = 0. Let v be q(s). Let n = v - -2. What is the highest common factor of 1 and n? 1 Let y be 0 - 1*(0 + -4). Suppose y*j - 72 = 2*j. Calculate the highest common divisor of j and 9. 9 Suppose 21 = -4*t + 9. Let b = 16 + t. What is the highest common divisor of 104 and b? 13 Let b = 3 - -8. Suppose -3*x = -0*x - 4*q - b, -3*q = 3*x - 18. Calculate the greatest common factor of x and 25. 5 Suppose 4*w - 354 = 126. Calculate the greatest common factor of w and 24. 24 Suppose 3*w + 15 = 0, -3*s + 6*w + 55 = w. What is the greatest common factor of 70 and s? 10 Let b be -4 + (0 - 1)*1. Let a = b - -7. Let p(x) = 27*x**2 + x + 2. Let i be p(a). What is the greatest common divisor of 16 and i? 16 Let l be (-20)/(-25)*(-5)/(-2). Suppose 4*w + 2*d = -6 - 4, -w + 15 = -3*d. Suppose 4*g - 12 = -w. Calculate the highest common divisor of l and g. 1 Let n be 2/(-4) + (-13)/(-2). What is the greatest common factor of 6 and n? 6 Let o(j) = 2*j**2 - 6. Let n be o(-3). What is the greatest common factor of 60 and n? 12 Let y(m) be the first derivative of 8*m**3/3 - m**2/2 - m + 7. Let g be y(-1). What is the highest common factor of 24 and g? 8 Let n(x) = -13*x**2 - 29*x - 13. Let t(k) = 7*k**2 + 15*k + 6. Let j(b) = -6*n(b) - 11*t(b). Let l be j(-8). What is the greatest common divisor of 8 and l? 4 Suppose 3*s - 62 = -0*b - 5*b, -s - 6 = -5*b. What is the greatest common divisor of 7 and s? 7 Let c be 36/5 - 2/10. Suppose -2*t + 5*h - 505 = -c*t, 0 = 2*t + 3*h - 199. What is the greatest common factor of t and 13? 13 Let l be (10 - 14)*29/2. Let h = 14 - l. Let g = -8 + 16. Calculate the highest common divisor of h and g. 8 Suppose -3*x + 32 = -x. Suppose 3*d = 2*l - 7*l - 3, -4*d + l - 4 = 0. Let i be 8/1*d/(-2). Calculate the highest common divisor of i and x. 4 Suppose 13 = 2*w + 9. Suppose w*b = -4*a + 24, 0 = 3*b - 4*a + 15 - 41. What is the greatest common factor of b and 1? 1 Let x be (0/((-1)/(-1)))/1. Let z = 5 - x. Calculate the highest common factor of z and 25. 5 Let y be (-18)/14 - 2/(-7). Let t be ((-1)/(-5) + y)*-5. Suppose -144 - 32 = -t*k. What is the highest common divisor of 4 and k? 4 Let s = -618 - -987. What is the greatest common divisor of s and 41? 41 Let l be 10/(-1) + 1/(-1). Let g = 53 + l. Let z = g - 24. Calculate the highest common divisor of 12 and z. 6 Suppose 0*p - 8 = -4*p. Suppose p*d + 36 = 4*d. Suppose 0 = c + 3*c - 288. Calculate the greatest common divisor of c and d. 18 Suppose 0 = -2*x - s + 29, 3*s - 36 = -5*x + 2*x. Let c be (-3273)/(-4) + (-4)/16. Let f be (-1)/3 - c/(-6). What is the greatest common factor of x and f? 17 Suppose -2*l + 6 = 2*t - 4*l, 0 = -t - 2*l + 18. Let k = t - 5. Calculate the highest common divisor of k and 24. 3 Let w = 21 + -41. Let u be w/(-8)*(-26)/(-5). What is the greatest common divisor of u and 91? 13 Let d(u) = 3*u - 23. Let o be d(10). What is the highest common factor of 49 and o? 7 Let g be (-12)/(-54) - 16/(-9). Let q be 9/(-6)*(0 - g). What is the greatest common divisor of q and 33? 3 Let z(m) = -m**3 - 3*m**2 + 5*m + 3. Let h be z(-5). Suppose 5*s = 4*s + h. Let q = -129 - -199. Calculate the highest common factor of q and s. 14 Let t be 2 - 2*(-6)/4. Calculate the greatest common factor of 5 and t. 5 Let g be ((-60)/(-3))/(1/4). Let j be 78/(-9)*-3 + 1. Let t = -17 + j. What is the highest common divisor of g and t? 10 Suppose -f + 5 = -0*f. Suppose -3*z + 2*t + 1 = 0, 3*t - 35 = -f*z - 2*t. Calculate the highest common factor of 6 and z. 3 Let v(k) = k - 3. Let r be v(0). Let h be ((-88)/r)/(1/3). What is the highest common factor of 22 and h? 22 Suppose -6*v + 4*v = -48. Suppose v = -0*u + u. Calculate the highest common factor of u and 8. 8 Let p be ((-3)/2)/(3/(-76)). Suppose p = 3*t - 7. Let r = 70 + -25. What is the greatest common divisor of r and t? 15 Suppose 3*q + 15 = -54. Let v = 63 + q. Calculate the greatest common factor of 10 and v. 10 Suppose 0 = 4*v - 12, -2*v + 15 = -k + 73. Calculate the highest common divisor of k and 8. 8 Suppose 3*v - 35 = -r - 8, -45 = -5*v - 3*r. Suppose 0 = -3*n - 53 - 1. Let g be (-1)/(1/n - 0). What is the highest common factor of g and v? 9 Let f(j) = -j + 16. Let o be f(-8). What is the highest common factor of o and 60? 12 Let h = -14 - -31. Let l = -2 + h. Suppose 0 = -0*u - 2*u + 210. Calculate the greatest common divisor of u and l. 15 Let h = -12 - -20. Suppose -5*r + 207 = 87. What is the greatest common divisor of r and h? 8 Let k = -4 - -8. Let q be 1/k - 95/(-20). Suppose 184 = q*g + 9. Calculate the greatest common divisor of 14 and g. 7 Suppose -54 - 126 = -2*i. What is the greatest common factor of 18 and i? 18 Suppose 0 = 5*y - 8 - 32. Suppose t - 1 - 2 = 0. Let m = 1 + t. Calculate the greatest common divisor of y and m. 4 Let q(o) = -o**2 + 2*o - 3. Let b be q(0). Let i be (3/b)/(2/(-8)). Suppose 0 = -p + 2 - 1. What is the greatest common factor of p and i? 1 Let l = -100 + 148. Calculate the highest common divisor of l and 24. 24 Let j be ((-4)/(-10))/(2/10). Suppose -u + 5*u = 4. What is the highest common divisor of u and j? 1 Suppose 0 = -f + 4*f - 6, -5*f - 6 = -b. Calculate the greatest common divisor of 4 and b. 4 Suppose 0*q - q + 78 = 0. Let t = -52 + q. Let b be ((-4)/(-6))/((-2)/(-39)). Calculate the highest common factor of t and b. 13 Let y = 3 - 3. Suppose 2*c + 1 - 3 = y. Let p be 126/3 - c*2. What is the greatest common divisor of p and 16? 8 Suppose 1 = -2*r + 2*w + 3, -4*r + 25 = 3*w. Let y = 18 + r. Suppose 4*l = 49 + 919. What is the greatest common divisor of l and y? 22 Let u be (0 - -4) + 0/(-2). Calculate the greatest common divisor of u and 40. 4 Suppose -2 = x - 4. Suppose -x*n - 2*n = -4. What is the greatest common factor of 8 and n? 1 Let a(r) = r**2 + 7*r + 7. Let m be a(-6). What is the highest common divisor of 1 and m? 1 Let o = -1 - 1. Let f be 2/2 + 104 + o. Let d = f - 71. Calculate the highest common divisor of d and 16. 16 Suppose -5*z = -2*j - 878, -8*j = -4*j - 4. Calculate the highest common divisor of z and 16. 16 Let l(p) = 5*p**3 + 5*p**2 - 4*p + 3. Let x be l(4). Suppose -3*m + x + 72 = 0. Let d be 3/3*-1 + 18. Calculate the greatest common divisor of m and d. 17 Let i(k) = k**2 - 5*k + 3. Let u be i(5). Let b be (u/6)/(1/12). What is the highest common factor of 6 and b? 6 Let w(n) = 3*n**3 - 1 + 2*n**2 + 0 - 83*n**3. Let m be w(-1). Let x = -46 + m. What is the greatest common factor of 14 and x? 7 Let y be ((-90)/(-42))/((-3)/(-21)). What is the greatest common factor of 3 and y? 3 Suppose -9 + 3 = g. Let w be (-3)/g*0 + 2. Suppose 1 = -o, 0*o = 4*i - w*o - 98. What is the highest common factor of i and 60? 12 Let g = -4 + 7. Suppose 4*o + 3*f = 43, f + 16 = 2*o - g*f. Let j = 41 + -37. What is the highest common factor of j and o? 2 Let t(y) = -y**3 - 2*y**2 - y - 1. Let
{ "pile_set_name": "DM Mathematics" }
in increasing order. -5, g, d Let g(i) = i**3 + 58*i**2 - 2*i - 119. Let y be g(-58). Put -22, 3, y, 0 in decreasing order. 3, 0, y, -22 Suppose -2*i - 19 = -r, 0 = -2*r - 3*r - 3*i + 69. Suppose -2*j = 3*j - r. Let x be (j/9)/(2/6). Sort x, 7, 4 in ascending order. x, 4, 7 Let p = 983 + -983. Sort p, -2, -52 in decreasing order. p, -2, -52 Let n = 0.26 + -0.06. Put 0.06, -0.3, n in descending order. n, 0.06, -0.3 Let x = -2.15 - 0.05. Let b = x + 3. Let y = b + -0.4. Put 4, -3/4, y in descending order. 4, y, -3/4 Let l(k) = -k + 1. Let n be l(2). Let h be (-11 - (-567)/49*1) + 32/(-7). Put 4, n, 0, h in decreasing order. 4, 0, n, h Let a = 11.1 - 12. Let n = -2.1 + a. Put -6, -1, n in ascending order. -6, n, -1 Suppose -3*z + 11 = -2*z. Suppose 4*j - 2*b = 54, -2*j + 1 = -4*b - z. Suppose 0 = -j*l + 11*l. Sort -2, 5, l. -2, l, 5 Let l = 35.25 + 0.75. Let c = l - 40. Sort -11, -0.3, c in descending order. -0.3, c, -11 Let c(m) = -5*m. Let h be c(-2). Let w be h/(-15) - (-83)/3. Suppose w = -5*l + 7. Sort 2, l, 3. l, 2, 3 Let g(w) = w**2 + 39*w + 350. Let q be g(-25). Put 3, q, -3, -5 in ascending order. -5, -3, q, 3 Let r(m) = -m**3 + 23*m**2 + 21*m + 66. Let c be r(24). Sort c, -2, 2 in ascending order. c, -2, 2 Let b(x) = -x**3 - 8*x**2 - 8*x - 5. Let i be b(-7). Let t be 15/(3/(-5)*5). Let c(n) = 2*n - 3. Let f be c(3). Sort t, i, f. t, i, f Suppose 4*s = 3*s. Let u = 1786 + -1782. Put s, u, 3 in ascending order. s, 3, u Let h = -78 + 37. Let u = h + 43. Put u, -1/9, 0.3 in increasing order. -1/9, 0.3, u Let t(x) = -40*x + 12*x**2 + 19*x - 28 - x**3 + 36*x. Let h be t(13). Let z(j) = j**3 + 5*j**2 - 6*j - 4. Let u be z(-6). Sort u, h, 0 in ascending order. u, h, 0 Let t = -5/83 + 269/332. Let k be (-4)/6*(-30)/4. Suppose 0 = -0*i + k*i - 25. Put i, t, 1/8 in descending order. i, t, 1/8 Let l = 19 + -19. Let d(f) = -f**2 + 9*f - 2. Let o be d(8). Let c(p) = -p**2 + 5*p + 5. Let k be c(o). Sort 4, l, k in descending order. 4, l, k Suppose 2*o + 6 = -4. Let g be (-637)/(-845) - 4/(-10). Let t = 1 - g. Sort 0.5, t, o. o, t, 0.5 Suppose 0 = -68*f + 5*f. Put 19, 5, f in descending order. 19, 5, f Let c = 226 - 228. Sort 0, c, -109 in decreasing order. 0, c, -109 Let u = -2.057 - -2.057. Let k = 29/2 + -13. Sort k, u, -2. -2, u, k Let v(r) = -14*r + 52. Let b be v(4). Let q be (1 + 3)/(4/16). Let o be ((-3)/4)/(4/q). Sort b, o, 0 in ascending order. b, o, 0 Let n(w) = -w**2 - 14*w - 29. Let z be n(-12). Let s be (-16)/(-20)*5/2. Let h(i) = -i**2 - 9*i - 1. Let c be h(-9). Sort z, s, c in decreasing order. s, c, z Let z(b) = -b**3 - 17*b**2 - 17*b - 19. Let i be z(-16). Suppose 4*j + 5*v + 33 = 2*v, -5*j = -5*v + 15. Put j, 2, 3, i in decreasing order. 3, 2, i, j Let l = -214/3 - -73. Let k = -56 - -56. Let s = 0.1 - k. Put s, l, -1 in decreasing order. l, s, -1 Let i(m) = m**3 - 2*m. Let a be i(2). Suppose 0 = 12*f - 14*f + 16. Let w be -1*1 + f/16*4. Put 3, a, w in descending order. a, 3, w Let g = -2054 + 2054.2. Put -175, 2, -1/2, g in increasing order. -175, -1/2, g, 2 Suppose -4*n - 5 = -5*u + 4, -n - 1 = 0. Suppose -34 = -4*y - i - 7, -2 = -y - 5*i. Suppose -5 = 3*z + y. Put z, -2, u in ascending order. z, -2, u Let s(u) = u**3 + 17*u**2 + 19*u + 50. Let x be s(-16). Put 1, x, -2, -5 in descending order. x, 1, -2, -5 Let b = -34 - -38. Suppose 4*x = b*f, 4*f - 7*f = 5*x - 32. Suppose 0 = 2*r - 2*q - x, -2*q + q - 7 = 4*r. Sort 1, 3, r in descending order. 3, 1, r Let h = -10 - 0. Sort 1, 6, h in decreasing order. 6, 1, h Let d(l) = 12*l + 40. Let w be d(-3). Put w, -8, -4, 2 in ascending order. -8, -4, 2, w Let t be 0*9/(-6)*(-20)/(-30). Let d = -1 + 1. Suppose 0 = -d*r - 4*r - 8. Put -3, t, r in descending order. t, r, -3 Let t(x) = -x**2 - 7*x + 2. Let m be t(-8). Let c = 13 + m. Suppose 4*j + 3 - c = 0. Put -5, j, 4 in increasing order. -5, j, 4 Let k be 0 - ((-21)/(-12) + (-6)/(-24)). Sort k, 4, -3, 5. -3, k, 4, 5 Let t = 0.012 + 2.988. Sort 0.06, 1, t in descending order. t, 1, 0.06 Let v(d) = -12*d - 8. Let j be v(-4). Suppose -9*t + j = t. Let x be 5/15 + 1/3. Sort t, -1/8, x. -1/8, x, t Let x = 17 + -16. Let c(j) be the second derivative of j**4/12 - 8*j**3/3 - j**2/2 + 5*j. Let z be c(16). Sort -7, z, x in descending order. x, z, -7 Let p = 248/235 - 12/47. Sort -0.1, p, 23. -0.1, p, 23 Let l = 145 + -141. Sort -2, 2, l, -1. -2, -1, 2, l Suppose -o = -3*h + h - 24, -5*h - 62 = -2*o. Sort -5, 3, -4, h in increasing order. h, -5, -4, 3 Let v be -14*6/(-40) + (-213)/142. Sort -3/5, -4, -11, v in decreasing order. v, -3/5, -4, -11 Suppose -52 = z - 58. Let d = -3 + -2. Let i = -1 - d. Sort 0.1, z, i in descending order. z, i, 0.1 Let z = 21 + -20.7. Let l = 14/335 + -18802/1005. Let p = 722/39 + l. Put z, -1/9, p in decreasing order. z, -1/9, p Suppose 2*q + 3 + 5 = 0. Suppose 0 = -12*p + 7*p - 25. Put -6, q, 1, p in decreasing order. 1, q, p, -6 Suppose -14*k = -39*k + 8000. Sort 1, -5, k, -4. -5, -4, 1, k Suppose 36*o = 34*o + 8. Sort 5, -3, 40, o in ascending order. -3, o, 5, 40 Let v be 10/4*(8 - 10). Let w(n) = -n**2 + 6*n - 3. Let l be w(5). Suppose 0 = -4*d + l + 2. Sort d, 0, v in increasing order. v, 0, d Let l = 1.9 - 1.4. Let o be (-7)/9 - 8/(-12). Put 14, o, l, 2/11 in ascending order. o, 2/11, l, 14 Suppose -4*p - 4 = -0. Let t(g) = -32*g - 1221. Let l be t(-38). Put 6, 5, p, l in ascending order. l, p, 5, 6 Let f = 2378 + -2381. Suppose 5 = -u + 1. Sort f, 21, u in decreasing order. 21, f, u Let f = -4.018 + 4. Let y = -0.382 + f. Let g = 0 - -1. Sort 0.4, y, g in increasing order. y, 0.4, g Let n be -66*6/(-60) + -7. Sort n, -2, 7, 4 in ascending order. -2, n, 4, 7 Suppose 306*q + 8702 = 268*q. Put -3, 4, q, -4 in ascending order. q, -4, -3, 4 Let y = -31 - -31. Suppose 5*z + 0*k - 11 = 2*k, -4*z - 2*k = 2. Put 7, y, z in descending order. 7, z, y Suppose t + t + 16 = 0. Let f = 735 - 734. Sort 3, f, t. t, f, 3 Suppose 0 = -4*t - 4*c + 3*c - 7, -5*t - 4*c = -5. Let z(s) = -s**2 + 3*s. Let l be z(4). Sort 3, 1, l, t in ascending order. l, t, 1, 3 Let x(r) = -r**2 + 5*r + 4. Let d be x(6). Suppose 19 + 115 = -4*p - 5*v, 0 = p + v + 34. Let w = -53 - p. Sort 5, d, w in decreasing order. 5, d, w Let d be 10/4 + 2/4. Let p be (-9)/(297/44)*3. Let f(i) = i - 3. Let y be f(0). Sort p, y, d. p, y, d Let p be (-10)/25 - 328/(-770). Sort -3, p, 3/7 in ascending order. -3, p, 3/7 Let w be (-14)/(-105) + 680/(-600). Let x = 7 - 2. Sort 0, 2, w, x in increasing order. w, 0, 2, x Let s = -603 - -602. Sort 0, 12, s in descending order. 12, 0, s Let j be 6/(-45) - 640/(-300). Let g be (1 - 2)/(2/6). Sort -1, g, j. g, -1, j Suppose -b + 5 = i, 0 = -5*b + 4*i - 6 - 14. Suppose 62*x = 63*x + 21. Let f = x - -18. Sort f, -1, b in ascending order. f, -1, b Suppose -3*b - 3*y + 21 = 0, 130*b + 1 = 128*b + 3*y. Put 1, 5, b, -19 in descending order. 5, b, 1, -19 Let z(u) = 2*u + 4. Let m be z(-2). Suppose 4 = -2*c - m. Let p be ((-10)/6)/((-2)/(-6)). Sort c, p, 4 in ascending order. p, c, 4 Let v be (-2 + 5/3)*-1. Let d = -5.6 - 30.4. Let k = -37 - d. Sort v, k, -4. -4, k, v Let d be -2*4*(2 - (-12)/(-8)). Suppose 5*h + 15 = 0, -3*k + 4*k - 2*h = 1. Let b = d - k. Sort -4, b, 4. -4, b, 4 Let u be (-7 + 6)/((-6)/(-30) - 0). Put u, 5, 93 in decreasing order. 93, 5, u Let p = -91 - -97. Put p, -5, 5 in descending order. p, 5, -5 Suppose 3*a + 2 = a. Let g = 1 + 13. Let y = g - 20. Sort y, 0, a. y, a, 0 Let k = 239 + -238. Sort 0.7, k, 0.4, 3. 0.4, 0.7, k, 3 Let m = 22.2 + -24.2. Sort 1/6, -5, m in decreasing order. 1/6, m, -5 Let j = 269 - 268. Sort j, 4, -1, 5. -1, j, 4, 5 Let b = -16/21 - -13/14. Put -1/7, -5, 52, b in descending order. 52, b, -1/7, -5 Suppose a = 5*g + 146, -g + 2*a + 7 = 29. Let n = g - -33. Sort 1, n, -2, -3 in ascending order. -3, -2, 1, n Let k be ((-36)/(-32))/((27/(-12))/3). Sort k, -8, -7 in increasing order. -8, -7, k Let s(g) = -4*g - 161. Let p be s(-39). Let x = -4 + 3. Suppose -3*a + 12 = -0. Sort x, p, a. p, x, a Let d = 1347.98 - 1348. Sort d, -2/5, 10, -1/4 in decreasing order. 10, d, -1/4, -2/5 Let v = -577.3 + 577. Put 0.9, v, -2 in increasing order. -2, v, 0.9 Let o = 0.1 + -2.1. Let g = -40.4 - -40.2. Sort 5, g, o, 4/7 in descending order. 5, 4/7, g, o Let i be ((-3)/27)/(4/8). Let d = -1 - -0.91. Put i,
{ "pile_set_name": "DM Mathematics" }
us 95.46? -2706329.54 What is -2910 + -35151548061? -35151550971 Put together 1 and 221.3514604892. 222.3514604892 33787798829+420 33787799249 What is -11.039 take away 5928367094? -5928367105.039 What is the difference between 211.2242873 and -0.099? 211.3232873 Work out -29386 - 2360597988.7. -2360627374.7 What is 326094580617062 less than -1? -326094580617063 Calculate 882.2138285 + 0.017. 882.2308285 What is -8063.823 - 353.50406? -8417.32706 Add together -0.1 and 12964519091. 12964519090.9 Calculate -1325023635594 + 0.4. -1325023635593.6 Total of -2749 and -352996760. -352999509 What is -1296.2126424 plus -0.049? -1296.2616424 Work out 50293 - -3039069. 3089362 What is 339172742.2 less than -26.2? -339172768.4 Calculate 20.39 - 72676.349. -72655.959 Work out 41775360035815 + -0.2. 41775360035814.8 Add together -5595344 and -273738. -5869082 Calculate -0.34108739 - 0.152784. -0.49387139 Add -14 and 1336174127886. 1336174127872 Put together 1.5 and -4714576.6524. -4714575.1524 Calculate -5218268.6 + -1199650. -6417918.6 -0.12+377430.77326 377430.65326 What is -530007039693 plus 44? -530007039649 What is 3849465360.82816 less than -3? -3849465363.82816 What is 17.92337 plus -0.05311487? 17.87025513 What is 1615 take away -47593870? 47595485 What is -15 minus -145933279.25? 145933264.25 0.4+-61667599354 -61667599353.6 Total of 2514 and -2919.732313. -405.732313 Sum 477042357.9 and -10239. 477032118.9 What is the difference between -11331968 and 104551? 11436519 Work out -3 - 1457282812111. -1457282812114 Work out 1.1968 - -33308599. 33308600.1968 4.787191 - 340319 -340314.212809 Subtract -5528009006.4 from -540. 5528008466.4 What is the distance between -0.142 and 13674.62188? 13674.76388 Subtract 16205481852 from 0. -16205481852 Add together -1593 and 6780.30700804. 5187.30700804 What is the difference between -96 and 1048499493? 1048499589 -1675628961+0.1205 -1675628960.8795 What is -13280050.13 - -7938? -13272112.13 45657990 + 218038 45876028 Work out -3382717 + -901408. -4284125 What is -0.188701 - -0.07593307? -0.11276793 Add together 865.037 and -37744. -36878.963 Add together -0.2 and -302881221406839. -302881221406839.2 Subtract 2481 from -2993527. -2996008 Add -0.08526427555 and -0.4. -0.48526427555 Calculate -192973 - -4907. -188066 What is -0.14189941733277 take away -2? 1.85810058266723 Work out -126852985242 - 25. -126852985267 18642751 - 3.8911387 18642747.1088613 Add 6214540161 and -0.1845. 6214540160.8155 What is -0.097113 plus 148995260? 148995259.902887 Calculate 328630559 + -937. 328629622 What is 59946520.77 + 44.2? 59946564.97 Put together 151351304715368 and 1. 151351304715369 3+65097181894.56 65097181897.56 What is the difference between -153983743.68548 and 5? 153983748.68548 What is 5 take away 668423689163? -668423689158 Sum -480411294198 and -1. -480411294199 Subtract -827878.8 from 33.98. 827912.78 Calculate -11326.2 - 119.0137518. -11445.2137518 Work out 76.58 + 16547837. 16547913.58 Total of 17 and 81393013143. 81393013160 Subtract 16033930 from -16.99. -16033946.99 20.1914+-4.84337 15.34803 Total of 3 and -28555.689993. -28552.689993 Calculate -7610 - -44386.305189. 36776.305189 What is 11801881 - 22210934? -10409053 What is 45688214639369 minus 0.4? 45688214639368.6 Put together -195568299162.8 and 0.1. -195568299162.7 Add 422015312 and 295707. 422311019 Add together 43123 and -1601715850. -1601672727 Sum 1201932082 and -121. 1201931961 Add together -2 and -37043405078.28. -37043405080.28 -115077762+15166 -115062596 What is -12345.0352104363 minus 0.08? -12345.1152104363 Work out -471 - 1.66613334059. -472.66613334059 -0.2 + 3098217543335 3098217543334.8 What is 179 - 35159.21577? -34980.21577 Subtract 113412.591 from 0.053. -113412.538 Total of -144373747.041 and 2632. -144371115.041 Sum -9 and 1575595305773. 1575595305764 Sum 3.87 and 592349.19328. 592353.06328 0.4871477073 + 0.73 1.2171477073 Work out 30064.7 + 0.04763798. 30064.74763798 What is 22.447 - 19572812? -19572789.553 What is -1819.69839 take away 475? -2294.69839 What is the distance between 312.5637477 and -750? 1062.5637477 Calculate -412520.6 - 847.939. -413368.539 7.32276606 + -57.989 -50.66623394 Add -66 and -122778.64747. -122844.64747 What is -124884 less than 0.297609? 124884.297609 Put together -3.445 and 2399904642. 2399904638.555 Add -18 and 0.0853516482054. -17.9146483517946 What is the difference between -0.2298469 and 3.764? 3.9938469 Add 1038.851 and -26.4062. 1012.4448 Total of 6665 and -15351402.63. -15344737.63 Subtract 64689 from -7927730. -7992419 Calculate -272470 - 861369.1. -1133839.1 Work out -1.36 + -85448956785. -85448956786.36 What is -17229 plus 50548006? 50530777 Work out -338.23463 - -6291. 5952.76537 Calculate -1530.2122848 - -9033. 7502.7877152 Add 97485168.87 and 49. 97485217.87 What is 3.59699 - 2.84740253? 0.74958747 -418531.226+573951 155419.774 Work out 0.08 + 127169843481662. 127169843481662.08 Calculate -2 + -0.12648480312182. -2.12648480312182 What is -831.971115 + 0.99117? -830.979945 -0.466 - -1186109412465 1186109412464.534 Work out -2364.4 - 1.6678003. -2366.0678003 What is the difference between -1466.136756 and 0.04? 1466.176756 What is -1849661.72 - -3115? -1846546.72 What is the distance between 151.3 and -1601819421? 1601819572.3 7.433+374088450 374088457.433 What is -0.501524 less than 113384298? 113384298.501524 -33028263+100446 -32927817 What is the difference between -84124571587 and -0.1? 84124571586.9 Calculate 114251 + 531897575. 532011826 Add together -2589384677.072 and -0.057. -2589384677.129 Calculate 47 - -1086.6190456311. 1133.6190456311 Work out -153.8 + -10.85737424. -164.65737424 Total of 1045610.64514292 and 0. 1045610.64514292 What is -25931493800 minus 0.06? -25931493800.06 What is the distance between -84.7802799 and 35530? 35614.7802799 -2+32174866997.31 32174866995.31 What is 329017998798577 + -2? 329017998798575 What is 868.8 take away 15838467303? -15838466434.2 What is -1001352.51431 less than 0.475? 1001352.98931 Sum 116 and -11354283284. -11354283168 What is 16 less than -0.1546299024622? -16.1546299024622 Work out 1.3 - 635140034550. -635140034548.7 Calculate 0.22 - -0.043926924017. 0.263926924017 What is -1.1 less than 39517073327? 39517073328.1 Sum 18662243365 and 256.7. 18662243621.7 What is 0.1 - 0.0966446748012? 0.0033553251988 Total of 92 and 3865756902713. 3865756902805 46461607.3533 + 5 46461612.3533 Calculate 0 - -0.0158460448635. 0.0158460448635 Subtract -0.371 from 10219682119. 10219682119.371 Sum 234 and 4338564526737. 4338564526971 -197 + -1250974978.02 -1250975175.02 356901.8022+-16 356885.8022 Total of -0.96232 and -14917055. -14917055.96232 -16 - -3994485256 3994485240 Work out 1822.0255 - -58478.876. 60300.9015 Subtract -47468827 from 3775. 47472602 What is the distance between 1500977 and -2835436? 4336413 Work out 54.36416 - -229.2428. 283.60696 What is -0.24531 plus -55901944? -55901944.24531 What is -0.030414596 plus 168062? 168061.969585404 Calculate 817.1986 + 38221. 39038.1986 Calculate 12 - 203033783319. -203033783307 Put together -0.0098281212862 and -3. -3.0098281212862 What is -45 - 1289352140142? -1289352140187 What is -0.7 + 6509783.9077262? 6509783.2077262 Add -0.03 and 21268045813. 21268045812.97 -0.1 - 86599393051947 -86599393051947.1 What is 126403085453 take away -13? 126403085466 What is -10263783.5 take away -70303? -10193480.5 What is the difference between -1181726.19676 and -326? 1181400.19676 Total of -0.248396329 and -965. -965.248396329 Sum 1653507290436 and 0.5. 1653507290436.5 What is the distance between -0.2 and -86217478812? 86217478811.8 Work out -0.09 - 103066701317. -103066701317.09 Subtract 0.0336481459 from 0.81. 0.7763518541 What is 77052113440 take away -0.282? 77052113440.282 Calculate -1874.02 - -866482. 864607.98 -54 + -7785446108 -7785446162 -1121949405251+-4 -1121949405255 6 + -182420807226.1 -182420807220.1 Add 827.3 and -0.60681272. 826.69318728 Work out 159 - -17.49364605. 176.49364605 What is -2664349835884 minus 21? -2664349835905 What is 1213 minus -3.75322531473? 1216.75322531473 6419868.79 - 103 6419765.79 Calculate 0.1 + 94882803.5753. 94882803.6753 What is the difference between 0.084367 and 472963
{ "pile_set_name": "DM Mathematics" }
k out -5981 + -16. -5997 What is the difference between 0.609 and 529.8? 529.191 Work out 207 - -47. 254 Work out -1 + -810311. -810312 -46485+-3 -46488 -7.2326 - 25 -32.2326 Add together 0.02776 and 5. 5.02776 What is the difference between -2.12 and -1496? 1493.88 What is 3345 plus -145? 3200 Add 2 and -40. -38 Sum 0.0328 and -0.3. -0.2672 Add together -0.4 and -1530. -1530.4 What is 2 - 15901? -15899 What is 1132534 take away -5? 1132539 Work out -0.2 + -21.38. -21.58 -3+44.69 41.69 Work out 0 - 6057. -6057 52 - 214 -162 What is -0.02 less than 1756? 1756.02 What is the difference between -15205.2 and 4? 15209.2 What is -27082 + -0.1? -27082.1 What is the difference between -0.89 and 1.305? 2.195 -6825287+-0.1 -6825287.1 0.07435 + 1 1.07435 What is 53162 take away 0.28? 53161.72 What is 6678630 plus 0? 6678630 Work out 7 - -393. 400 Work out -1.201 - -0.5. -0.701 Sum -1569 and 0.4. -1568.6 Subtract -4 from 1.4042. 5.4042 Work out -0.4 - -3917. 3916.6 Add 0.71 and -1.094. -0.384 Work out 0.5 + 330599.5. 330600 Subtract -2 from 72.0742. 74.0742 What is the difference between -4 and -0.0334587? 3.9665413 What is 54.24 take away 60? -5.76 Sum -232 and -0.1. -232.1 What is 0.316 minus 25.724? -25.408 Add 0.4 and -27184. -27183.6 Calculate 3439 + 0.4. 3439.4 Subtract -0.46106 from -8. -7.53894 Subtract 8.434 from -22. -30.434 Subtract 15.8 from 0.01. -15.79 Sum -3 and 142. 139 -17.1 - 4117 -4134.1 0.16938 + -0.5 -0.33062 What is the distance between -3 and -0.0213? 2.9787 What is -1177 less than -4? 1173 Calculate 0.6 + -9626. -9625.4 Work out 31.83 + 4. 35.83 What is 0.31 + -15? -14.69 What is -1 plus -0.1922? -1.1922 What is 4660 less than 0.1? -4659.9 What is 0.5 take away 16.823? -16.323 What is 208.4 less than 0.3? -208.1 What is -789 - 1411? -2200 Work out 13.6 - -1.68. 15.28 Calculate 215164 + -0.2. 215163.8 Add together 2.6 and 6.27. 8.87 What is -0.68 + 0.3? -0.38 198799 - 1 198798 Add together -3 and 24.4507. 21.4507 Calculate 8 + -0.461. 7.539 -0.249034 - -16 15.750966 Calculate -36 - -4. -32 Work out -4 + -1.742. -5.742 Put together -0.4 and 1848. 1847.6 Work out -516 - -3.1. -512.9 Subtract -0.08646 from 12. 12.08646 Total of 18.7 and -192. -173.3 Calculate 723 + 257.8. 980.8 Calculate 4366.9 + 27. 4393.9 What is -2228 plus 0.01? -2227.99 What is the difference between -0.543 and 1? 1.543 Add 19242 and -735. 18507 What is the distance between -328.4 and -7.68? 320.72 What is the difference between -31.8 and 39? 70.8 Work out 0.4 + -1278. -1277.6 -4127.07+0.2 -4126.87 Add together -12361 and -0.05. -12361.05 Put together 168.78 and -6. 162.78 What is -2.0782 take away -0.8? -1.2782 What is the distance between 0.07 and -157236? 157236.07 -1+-101 -102 1 - -261151 261152 What is -5 take away 8.585? -13.585 What is -50809 take away 12.9? -50821.9 Work out 0.236 - -2.047. 2.283 What is the distance between 1.2274379 and -0.2? 1.4274379 Subtract 13512 from 0.16. -13511.84 What is the distance between 43192 and -5? 43197 What is -2.1 minus -4926? 4923.9 Work out -0.03423 - -14. 13.96577 -109.4 + 140 30.6 Put together -5 and 48102. 48097 What is -91.33 - -0.271? -91.059 Work out 2 + 7124.9. 7126.9 Sum -607.751 and -0.01. -607.761 0.4 - 1367 -1366.6 What is 0.5 minus -17432? 17432.5 367 - 0.2 366.8 Add together -436 and 17. -419 What is -736.1 minus -5? -731.1 Total of -1.4 and -10849. -10850.4 Add 3297 and -19.3. 3277.7 Subtract 7 from -24733. -24740 Subtract -4 from 3540. 3544 What is the difference between 6.64 and 0.5? 6.14 5+-177543 -177538 151045 + -0.039 151044.961 What is -8225 take away -258? -7967 What is -221914 take away -0.1? -221913.9 -0.13 - 172 -172.13 What is -2.745 take away 0.3? -3.045 What is 9 - -499? 508 What is -3941 minus 10? -3951 What is -60210 take away -0.75? -60209.25 Work out -862 + 134. -728 Work out -16.08 + -0.0557. -16.1357 What is the distance between 11.568 and 0.2? 11.368 Put together 1021 and 0.4. 1021.4 What is the distance between -294 and -1657? 1363 What is the distance between -100 and 0.27? 100.27 What is 5 minus 7.562? -2.562 What is 2.36 minus -0.1243? 2.4843 What is the difference between 229 and -221.9? 450.9 Put together 0.4 and 365347. 365347.4 Put together 0.46 and 2.21. 2.67 What is the difference between -11168 and -11? 11157 Calculate -0.11 + -42. -42.11 Calculate -0.03584 - -0.91. 0.87416 Put together 0.028 and -1.55. -1.522 Calculate 0.11 + 602732. 602732.11 What is 1.602 less than -0.3? -1.902 Subtract 1.6 from -1.6. -3.2 Subtract -1131424 from 0.4. 1131424.4 What is -0.08 - -46199? 46198.92 What is the distance between -6.43 and 1? 7.43 -3.804 - 578 -581.804 What is -2 less than 3.0062? 5.0062 -11.1+-0.1942 -11.2942 Add together 11.21 and -226. -214.79 What is -4 plus 27352? 27348 What is 2 take away -344305? 344307 -605.11 - 4.6 -609.71 Work out 8.5 - -2.814. 11.314 Sum 0.04 and -0.167. -0.127 What is -32.846 + 10? -22.846 What is -1068.532 less than 0? 1068.532 Calculate 62975 - -0.7. 62975.7 What is -160.37 + 0? -160.37 What is -3 minus -0.304? -2.696 Add -0.438733 and 2. 1.561267 26427+5 26432 What is -0.1 - 8.14? -8.24 Subtract 70 from 5. -65 What is 0.2 minus 758.8? -758.6 What is 0.018 - 0.026544? -0.008544 Add together 9.895381 and -0.4. 9.495381 Calculate 620 + -7.1. 612.9 Total of -1.141688 and 0.1. -1.041688 -12770201 - 4 -12770205 Add -0.1 and -163717. -163717.1 Calculate -0.686 - -0.002. -0.684 Add together 4.3 and 1615. 1619.3 12 + -87607 -87595 What is the distance between -212.8 and 1? 213.8 What is the distance between -19802 and -2.2? 19799.8 What is 5 - -683? 688 Put together 2 and -1.08. 0.92 Sum 1 and -11234. -11233 What is -2139 - 10? -2149 -5 - -0.039 -4.961 Calculate 0.8 - -18133. 18133.8 -3.7+-82181 -82184.7 Total of -0.049 and 42. 41.951 32505 - -20 32525 What is 18.8 take away 60? -41.2 Put together -25016 and 0.12. -25015.88 What is 2 less than 175845? 175843 Add 622 and 1.9. 623.9 Add together 56 and 0.0278. 56.0278 Calculate 0.4 - -124.7. 125.1 What is -90244 - -7? -90237 Put together -1.1 and 2773. 2771.9 Calculate 14849 + 3.9. 14852.9 Total of -0.1 and 1.364225. 1.264225 What is 19 + -1572? -1553 Subtract -562163 from 0.3. 562163.3 What is 15 plus 25655? 25670 -0.4+0.0507 -0.3493 Work out 243.2 - 0.2. 243 -0.5+115873 115872.5 Subtract -0.1055 from 0.59. 0.6955 Calculate 6587 - 0.3. 6586.7 What is 20 plus -17.76? 2.24 145 + 308 453 Total of -28 and -8.6. -36.6 Work out -17051 + -3. -17054 What is the distance between 54 and -38.8? 92.8 0.1 - 4656 -4655.9 What is the difference between -27.455 and 0.3? 27.755 Add 0 and -70084.2. -70084.2 What is 1637 minus 0.066? 1636.934 0.2+-0.793 -0.593 2.346 - 1.2 1.146 What is 1.4 - -359? 360.4 What is 0.3 + 0.13472? 0.43472 Add together 13152744 and 0.3. 13152744.3 Work out -537.74 - -89. -448.74 -0.28 + -39.085 -39.365 Total of 5.4 and 190. 195.4 Total of 9792 and -11. 9781 Add -0.1 and -1841. -1841.1 Calculate 46.1 - -382. 428.1 What is the distance between 0.873 and -23? 23.873 Subtract -5 from -1639586. -1639581 Calculate -60 - -53. -7 Calculate -0.478 + -2. -2.478 Subtract -8 from -63972. -63964 What is the distance between 168831 and -0.7? 168831.7 Put together 15.0278 and -1. 14.0278 Calculate -5 - -14652.4. 14647.4 What is -1.1811 minus 0.21? -1.3911 Add together 0.0319 and -249. -248.9681 What is -5 - -1100? 1095 Calculate 403 - 2.425. 400.575 What is 3.2 plus -4767? -4763.8 -6.2 + -96 -102.2 What is -0.03 + 12685? 12684.97 What is -2 - 339.1? -341.1 Sum 1539 and 225.3. 1764.3 What is 361152 less than -0.4? -361152.4 Add -0.4 and 5456.8. 5456.4 -3 - 178 -181 What is -0.1 take away -77390? 77389.9 15 - 853 -838 Calculate -52 + -2.7654. -54.7654 What is -173.2 + 855? 681.8 Subtract 0.2 from 2059834. 2059833.8 Put together 1915 and -0.1. 1914.9 3 + 0.335 3.335 Subtract -1208 from -2701. -1493 What is -5.1 minus -24381? 24375.9 What is the distance between 0.4 and -28983? 28983.4 What is 4 less than 214798? 214794 What is -9159 less than 0.49? 9159.49 Total of 46202 and 41. 46243 What is -7.85 - 4? -11.85 What is -207 + 0.6? -206.4 Sum 0.596303 and -3. -2.403697 -45.1 - 19.53 -64.63 Work out -0.13943 + 55. 54.86057 Add together 17727 and -0.07. 17726.93 Add together 1511 and -2.21. 1508.79 What is 35.2 + -1
{ "pile_set_name": "DM Mathematics" }
teger? 42 What is 0.15693 rounded to 1 decimal place? 0.2 What is 0.54886 rounded to two decimal places? 0.55 Round -1224 to the nearest one thousand. -1000 What is -0.9027 rounded to 2 decimal places? -0.9 Round -0.00000003182 to seven decimal places. 0 Round -1.466 to one dp. -1.5 Round -2589500 to the nearest one hundred thousand. -2600000 Round 1.12772 to two dps. 1.13 What is -0.000006099 rounded to 7 decimal places? -0.0000061 What is 1939200 rounded to the nearest one hundred thousand? 1900000 Round -3566000 to the nearest one hundred thousand. -3600000 Round 59812000 to the nearest one million. 60000000 Round -1.6192 to two decimal places. -1.62 Round -0.00011087 to 6 dps. -0.000111 What is -30490 rounded to the nearest 10000? -30000 What is -0.44312 rounded to one decimal place? -0.4 Round -9.2754 to one dp. -9.3 What is 5249 rounded to the nearest one hundred? 5200 What is 910800 rounded to the nearest 100000? 900000 Round 67570000 to the nearest one million. 68000000 Round 4.722 to the nearest integer. 5 Round 66.2 to the nearest ten. 70 Round 898200 to the nearest ten thousand. 900000 Round 15.03 to zero decimal places. 15 Round -979.8 to the nearest 10. -980 What is -0.0000269 rounded to 6 dps? -0.000027 Round -2638000 to the nearest 100000. -2600000 What is -242100 rounded to the nearest one thousand? -242000 Round 0.000091131 to 7 dps. 0.0000911 Round -0.0018125 to 4 dps. -0.0018 What is -22057.9 rounded to the nearest one thousand? -22000 What is 41.0016 rounded to one decimal place? 41 Round -84.5 to the nearest 10. -80 What is 4.854 rounded to one dp? 4.9 Round 0.000055274 to six decimal places. 0.000055 What is 0.0006363 rounded to 4 decimal places? 0.0006 What is -13880 rounded to the nearest ten thousand? -10000 Round -71.387 to the nearest integer. -71 What is -1824000 rounded to the nearest 100000? -1800000 Round 116840 to the nearest ten thousand. 120000 What is 10700 rounded to the nearest one hundred? 10700 Round 221467000 to the nearest one million. 221000000 Round 0.070553 to three decimal places. 0.071 Round -0.00008463 to five decimal places. -0.00008 Round 0.0000058395 to 7 dps. 0.0000058 Round 649 to the nearest 100. 600 What is -7.37 rounded to one dp? -7.4 What is -5980000 rounded to the nearest one million? -6000000 Round -0.00016073 to six dps. -0.000161 What is -0.00417 rounded to three decimal places? -0.004 What is -0.218203 rounded to 2 decimal places? -0.22 What is -576300 rounded to the nearest ten thousand? -580000 Round -20649000 to the nearest 1000000. -21000000 Round 19.9 to the nearest ten. 20 What is -4793300 rounded to the nearest 10000? -4790000 What is 0.0001225 rounded to 6 decimal places? 0.000123 What is 0.1287 rounded to one dp? 0.1 Round -9.267 to 1 decimal place. -9.3 Round 0.000005386 to seven decimal places. 0.0000054 Round -305195 to the nearest 1000. -305000 What is -0.23253 rounded to 3 dps? -0.233 Round -0.0002662 to 5 dps. -0.00027 Round 1655420 to the nearest 100000. 1700000 What is 0.08226 rounded to 3 decimal places? 0.082 Round -0.000002086 to 6 decimal places. -0.000002 What is -0.456 rounded to 2 decimal places? -0.46 What is 0.001206 rounded to five decimal places? 0.00121 Round 145580 to the nearest one thousand. 146000 What is -72660 rounded to the nearest ten thousand? -70000 What is -2.784 rounded to 0 decimal places? -3 What is 0.1319 rounded to 2 decimal places? 0.13 What is 705.4 rounded to the nearest ten? 710 What is 1042300 rounded to the nearest 100000? 1000000 What is 128899 rounded to the nearest 1000? 129000 What is 3466000 rounded to the nearest one million? 3000000 Round 255.9 to the nearest 10. 260 Round 0.000106341 to six dps. 0.000106 What is -0.008365 rounded to two decimal places? -0.01 Round -23.834 to 0 dps. -24 What is 0.987 rounded to 1 dp? 1 What is 0.003645 rounded to three decimal places? 0.004 Round 4.0679 to two decimal places. 4.07 What is 19373000 rounded to the nearest 1000000? 19000000 What is 0.000004116 rounded to 7 decimal places? 0.0000041 Round -0.0004528 to four decimal places. -0.0005 What is 6.035 rounded to one decimal place? 6 What is -0.4817 rounded to 2 dps? -0.48 What is 3463 rounded to the nearest ten thousand? 0 Round -0.27 to zero decimal places. 0 What is -8498000 rounded to the nearest 1000000? -8000000 Round -7344 to the nearest 1000. -7000 Round -9490000 to the nearest 1000000. -9000000 What is 20.82 rounded to the nearest ten? 20 Round 73.9 to the nearest 10. 70 Round 0.0001124 to 5 decimal places. 0.00011 What is 324200 rounded to the nearest 10000? 320000 Round -0.01242 to three decimal places. -0.012 Round -0.20651 to three decimal places. -0.207 What is -0.2749 rounded to two dps? -0.27 Round 0.016235 to three dps. 0.016 Round -0.0001876 to 5 decimal places. -0.00019 Round 56800000 to the nearest 1000000. 57000000 What is 18670000 rounded to the nearest one hundred thousand? 18700000 What is -0.00005759 rounded to five decimal places? -0.00006 What is 14.603 rounded to one decimal place? 14.6 Round 5293800 to the nearest one hundred thousand. 5300000 Round -0.009838 to 4 dps. -0.0098 Round -98734000 to the nearest one million. -99000000 Round -0.2156 to 1 dp. -0.2 What is 6.82 rounded to the nearest integer? 7 What is -0.017234 rounded to four decimal places? -0.0172 Round 231.6 to the nearest one hundred. 200 Round 1923.5 to the nearest 100. 1900 Round 0.000219 to four decimal places. 0.0002 What is -0.0030943 rounded to four dps? -0.0031 What is -2.146 rounded to 1 decimal place? -2.1 What is -8.8 rounded to zero decimal places? -9 What is -23.767 rounded to 1 decimal place? -23.8 Round -0.0000013659 to six decimal places. -0.000001 What is -0.045926 rounded to 2 dps? -0.05 Round -367.82 to the nearest integer. -368 Round 5.957 to the nearest integer. 6 What is 0.00001347 rounded to 6 decimal places? 0.000013 What is 0.3948 rounded to 2 decimal places? 0.39 Round 3168000 to the nearest one hundred thousand. 3200000 What is -0.001091 rounded to three dps? -0.001 What is 0.0014651 rounded to 3 dps? 0.001 Round -2063.85 to the nearest ten. -2060 What is -28654000 rounded to the nearest one million? -29000000 What is 2.1778 rounded to two dps? 2.18 Round 1864 to the nearest 1000. 2000 What is 11.8563 rounded to two dps? 11.86 Round -11.52 to one dp. -11.5 Round 0.0008958 to four dps. 0.0009 What is 52892.5 rounded to the nearest 10000? 50000 What is -179727 rounded to the nearest one thousand? -180000 What is 0.0974 rounded to 2 dps? 0.1 What is 1.48164 rounded to one dp? 1.5 Round -0.014767 to 3 decimal places. -0.015 Round 0.000005679 to six decimal places. 0.000006 What is -0.00003294 rounded to 6 decimal places? -0.000033 What is 3628900 rounded to the nearest ten thousand? 3630000 Round -0.000011126 to 6 dps. -0.000011 Round 0.0001413 to five dps. 0.00014 What is 0.042919 rounded to four dps? 0.0429 Round -0.0000070298 to seven decimal places. -0.000007 Round 2606000 to the nearest one million. 3000000 What is 10260000 rounded to the nearest 1000000? 10000000 What is 0.0026285 rounded to 5 dps? 0.00263 What is 22.552 rounded to 1 dp? 22.6 Round -116999 to the nearest ten thousand. -120000 What is -0.67014 rounded to one dp? -0.7 What is -0.00003574 rounded to six dps? -0.000036 Round 670.2 to the nearest ten. 670 What is -1824.9 rounded to the nearest one hundred? -1800 Round 0.0196 to 2 dps. 0.02 What is 184170 rounded to the nearest 10000? 180000 Round -42270 to the nearest ten thousand. -40000 Round -0.003388 to three decimal places. -0.003 Round -77000 to the nearest 100000. -100000 What is 488.17 rounded to the nearest one hundred? 500 What is -0.509 rounded to 1 decimal place? -0.5 Round 0.00025224 to six decimal places. 0.000252 Round -299000 to the nearest one million. 0 Round -26.966 to the nearest integer. -27 What is -0.0000111712 rounded to six dps? -0.000011 Round 1.426 to 1 dp. 1.4 Round -422300 to the nearest one hundred thousand. -400000 Round -0.912 to 2 decimal places. -0.91 What is 0.00000033 rounded to seven dps? 0.0000003 What is 1840000 rounded to the nearest 100000? 1800000 Round 818630 to the nearest 100000. 800000 What is -0.01338 rounded to two dps? -0.01 What is 12.324 rounded to t
{ "pile_set_name": "DM Mathematics" }
at is the smallest value in y, 2, -4/3? -4/3 Let s = -801 - -800. Let i be -113 + (-2)/(-10)*(3 - -2). What is the biggest value in 5, s, i? 5 Let f = -34.45 + 33. Let v = 0.95 + f. Which is the second biggest value? (a) -0.04 (b) v (c) 5 a Let j = 322.6 - 321.56. Let p = -555 - -579.96. Let f = p + j. What is the smallest value in -1, f, -2? -2 Let u = 5678 - 5676. Which is the third smallest value? (a) 0 (b) u (c) 181 c Let q = 41.179 + -0.179. Let a = -41 + q. Let l(t) = t**2. Let j be l(1). What is the third smallest value in a, -1/2, j, 2/3? 2/3 Let x = 800/31 + -4025/186. Let q = -5.03 + 0.03. Which is the biggest value? (a) 5 (b) -2 (c) x (d) q a Let o be 2 - (3/(-27))/((-28)/504). What is the fourth smallest value in 6, -1, o, -1.9? 6 Let q = -3.98 + -0.02. Let r be 0 + (-3)/(4 - -5) - (-8)/(-12). Which is the second biggest value? (a) r (b) q (c) 0.1 (d) 1 c Let y = -649 + 648.613. Let g = y + -0.403. Which is the third biggest value? (a) -1 (b) -1/2 (c) g a Let h be -3922*((-1)/(21/18))/(40/70). What is the third smallest value in 5, h, -0.3, -1? 5 Let v = -121 + 231. Let f = v - 110.1. Let l = 71/39 + -2/13. Which is the biggest value? (a) -0.4 (b) l (c) 4/7 (d) f b Suppose -5*s = s + 4*s - 30. What is the second smallest value in s, -51, -4, -3? -4 Let q = 63 - 20. Suppose q*k - 40*k - 5*y = 18, 5*k - 8 = y. Which is the fourth biggest value? (a) 0.1 (b) 3/7 (c) k (d) 2/7 a Let p(v) = 69*v + 4695. Let s be p(-68). What is the third smallest value in s, -462, 3/5? s Let n = 0.1 + -0.6. Let g = -105/4 - -5507/12. Let z = g + -434. What is the third smallest value in -3/4, n, z, 0.2? n Let h = -2519 + 2519.5. What is the biggest value in -4, 5, h, 2/3409, -1/2? 5 Let l = 1019/12320 + -7/160. Let t = -71/154 - l. Suppose -1 + 3 = -2*p. Which is the second biggest value? (a) 0.2 (b) -2 (c) p (d) t d Let m = -590 - -542.2. Let y = m - -42.8. Which is the second smallest value? (a) y (b) -2/9 (c) 2/9 b Let z(h) = h**3 + 39*h**2 + 379*h + 18. Let m be z(-21). Which is the smallest value? (a) 0.5 (b) 49 (c) 5 (d) m (e) 1/5 d Let n = -13764.4 - -13764. Which is the biggest value? (a) 4 (b) -2/9 (c) 533.7 (d) n c Let f = 3 - 3.5. Let g(u) be the second derivative of -u**4/12 - 2*u**3/3 + 85*u**2/2 + 120*u. Let m be g(-11). What is the smallest value in m, 4, f? f Let d be ((-156)/10)/(-2*(-1)/(-20)). Let u be (-370)/d + 60/20. Let h = 1/26 + u. What is the second biggest value in h, -2/23, 0.5? 0.5 Let x = -3.17 - -2.37. Suppose 0 = -55*k + 21*k + 34. Which is the third biggest value? (a) x (b) k (c) -3/7 a Let s be (-10)/(-30) - (-10)/6. Suppose -4*t - 2*l = 2, 2 = -t - 2*t - s*l. Which is the smallest value? (a) -3/2 (b) t (c) 34 a Let q = 71 - 70.9. Let s = -0.0187 - -0.0087. What is the smallest value in q, s, -1? -1 Let m be (-16)/(-3) + -6 + (-46)/(-60). Let v = -11 - -10.3. Let o = v - 0.3. What is the biggest value in o, 1.9, m? 1.9 Let z = 70/9 - 341/45. What is the third biggest value in z, -19/15, -0.2? -19/15 Let t = 47/39 + -20/13. Let r = 52 - 45.184. Let g = -0.184 - r. Which is the biggest value? (a) t (b) g (c) -5 a Let z = 112 + -172. Let n be ((-15)/8)/(45/z). Which is the third smallest value? (a) n (b) -5/12 (c) 0 (d) -1 c Let a = 930/107 - -169021/2996. Let x = a + -261/4. Let d be (7/10)/((-4)/10). What is the biggest value in x, d, 2/5? 2/5 Let b = -15 - -47/3. Let w = 124.2 + -112. Let a = w - 12.4. What is the second smallest value in 5, a, b? b Suppose 5*t = 37 - 97. Let q = t - -47/4. Let h = 63 + -68. What is the biggest value in h, q, -2/9? -2/9 Let b = 242 - 253.6. Let z = 14.6 + b. Suppose 3*k - k = 10. What is the second biggest value in z, 1, k? z Let f = -357 - -3212/9. Let l = -1.162 + 0.162. Which is the third biggest value? (a) 2 (b) f (c) 6/17 (d) l b Let v = 6/59 - 290/531. Let o = -1.035 - -0.035. Let u = 524 + -520. Which is the fourth smallest value? (a) u (b) v (c) 5 (d) o c Let h be -10*9/(-90)*((-10)/(-80))/((-8)/16). Let y(s) = s**2 + 2*s - 1. Let p be y(-2). What is the third smallest value in h, p, -0.19? -0.19 Let t(z) = -6*z**3 - 26*z**2 + 9*z + 67. Let u be t(-4). Which is the fourth smallest value? (a) 6 (b) 0.7 (c) 0.16 (d) u a Let g = 246.1 - 188. Let d = g + -8.1. Let t = 49.8 - d. Which is the smallest value? (a) 0.03 (b) 4/9 (c) t c Let h be (-118)/6 + 13 - -9. What is the biggest value in 20, 0.2, h? 20 Let n = -586 + 1487. Which is the second biggest value? (a) 2/7 (b) 3/8 (c) n b Let b be 13 + (-11 - (-32)/(-10)). What is the third smallest value in -3, b, 0, -83? b Let j = -13132 + 13128. Which is the third smallest value? (a) 1/4 (b) -1 (c) -2/9 (d) j (e) -35 b Let r = 219.4 + -219. Which is the biggest value? (a) -2 (b) r (c) 1 (d) -0.1 (e) 1/10 c Let a(q) = -2*q**2 + 19*q - 12. Let r be a(8). What is the third biggest value in r, 1/15, -2/7? -2/7 Let f = 112861352/593439 - 4/53949. Let x = -392 + 202. Let y = x + f. What is the second biggest value in 1, -2/5, y, -2? y Suppose 3*w = -d - 2*d - 9, 0 = -4*w + d - 37. Let f(s) = 156*s + 22 + 155*s - 308*s. Let c be f(w). What is the third biggest value in 3, c, -5? -5 Let r = -1.0654 + 1.5654. What is the fourth smallest value in r, 3, 0.12, -7? 3 Let g = 245.5 + -228. Let d = g + -17.7. Which is the biggest value? (a) d (b) 2 (c) 6 c Let h = 0.2 - 2.2. Let r = -132 + 131.8. Let d = -700 + 704. What is the biggest value in d, 5, r, h? 5 Let p = 22031 - 22029. Let u(v) = -v - 2. Let s be u(-5). Let c = 8 - s. What is the second smallest value in c, p, -0.3, 0? 0 Suppose 2*b + 80 - 84 = 0. Let g = -6.8 + 7. Let t = -1.2 + g. What is the third smallest value in t, 2/3, b? b Let y = 839/633 - -5/633. Which is the smallest value? (a) y (b) 23 (c) -2 c Let n = 1.4181 - 1.5481. What is the fourth biggest value in -14, 2, -0.2, n? -14 Suppose 2*l - 3*l = 3. Let t be (2 - (-38)/(-16))*6 + l. Let r = 5 + t. Which is the third biggest value? (a) 0.01 (b) -2/7 (c) r b Let u = -5 - 6. Let t(h) = 2*h - 13. Let j be t(6). Let l be j/(1 + -4) + 39/(-9). What is the fourth smallest value in 2, u, 3, l? 3 Let r = -273 + 273.378. Let a = 0.022 + r. Suppose 4*b + 4 = 16. What is the second biggest value in b, a, -4? a Let k be 2/30*10/(-6). Let w = 2.689 - -1.311. What is the third biggest value in k, -1, w? -1 Let l = 8 + -5. Suppose -l*h + 4 = -h. Suppose 29 = -h*j + 39. Which is the third smallest value? (a) 0.8 (b) 1/2 (c) j c Let q(x) = -x**3 - 9*x**2 - 13*x - 26. Let w be q(-8). Let v = -5.8 + 5.4. Which is the biggest value? (a) w (b) v (c) -1 a Let l = -10 - -6. Let t = 1597/42 - -10/21. Let j = 38 - t. Which is the third biggest value? (a) j (b) 3 (c) l c Suppose -3*r + 12 = 3*l + 18, -4*l + r = 23. Let m = 0.4 + 0. Let j = m + -0.9. Which is the biggest value? (a) j (b) 3 (c) l (d) -4 b Let b = -87 + 86.8. What is the smallest value in b, 2, -0.049, 0? b Let h = 2403 - 2401.5. Which is the smallest value? (a) 0.3 (b) 3 (c) h (d) -0.4 (e) -3 e Let i = -0.055 - 0.945. Let u be 2/(-3)*-18*(-8)/(-24). Let a = 3 + -2.8. What is the second smallest value in i, a, 1, u? a Let i be (31/62)/(1/(-4)). Which is the third smallest value? (a) -730 (b) i (c) 2 c Suppose -2*i + 13 = p, -4*p = 5*i + 28 - 65. Which is the fourth smallest value? (a) 1/2 (b) -0.12 (c) i (d) 3 c Let p = -119 + 62. Let n = -63 - p. Let v = n - -4. What is the third smallest value in v, 0.4, 1? 1 Suppose -3 - 9 = -4*h. Let k be (-8)/(-48) - (-13)/(-42). Let t = -2.01 + 2.21. Which is the third smallest value? (a) h (b) -3 (c) t (d) k c Let r = 12997/6 - 2167. What is the smallest value in -1, 0.0951, r? -1 Suppose -10 = x - 4*k - k, 5*k - 20 = 0. Let l be x/((-80)/12)*15/(-27). Which is the second smallest value? (a) -7/3 (b) l (c) -4 a Let g = -3 + 3.3. Let j = -700 + 700. Let h = 568/1007 + -10/19. What is the second biggest value in h, j, -3, g? h Let t = -38.5 + 38. Let m = 1247 + -1252. Which is the third biggest value? (a) m (b) t (c) 1 a Let y = 935 - 941. Which is the fourth smallest value? (a) 0.2 (b) -1 (c) -1/4 (d) y a Let q = -71 - -66. Let f = 0.099 - -31.901. Let k = f - 35. Which is the third smallest value? (a) k (b) q (c) -9 a
{ "pile_set_name": "DM Mathematics" }
he nearest integer? 9 What is 1483800 to the power of 1/2, to the nearest integer? 1218 What is the square root of 1017 to the nearest integer? 32 What is 63874 to the power of 1/10, to the nearest integer? 3 What is the sixth root of 156168 to the nearest integer? 7 What is 26724005 to the power of 1/9, to the nearest integer? 7 What is the sixth root of 214073 to the nearest integer? 8 What is 1170343 to the power of 1/8, to the nearest integer? 6 What is 122147 to the power of 1/2, to the nearest integer? 349 What is the cube root of 6971279 to the nearest integer? 191 What is 4183232 to the power of 1/3, to the nearest integer? 161 What is the square root of 1007694 to the nearest integer? 1004 What is 564165 to the power of 1/2, to the nearest integer? 751 What is the third root of 49707 to the nearest integer? 37 What is 52077 to the power of 1/3, to the nearest integer? 37 What is 1187933 to the power of 1/5, to the nearest integer? 16 What is the eighth root of 248969 to the nearest integer? 5 What is the cube root of 2717515 to the nearest integer? 140 What is the square root of 65378 to the nearest integer? 256 What is 2249249 to the power of 1/3, to the nearest integer? 131 What is 485511 to the power of 1/2, to the nearest integer? 697 What is 7649197 to the power of 1/2, to the nearest integer? 2766 What is 245980 to the power of 1/6, to the nearest integer? 8 What is 5336695 to the power of 1/3, to the nearest integer? 175 What is 199078 to the power of 1/4, to the nearest integer? 21 What is the square root of 1262307 to the nearest integer? 1124 What is the sixth root of 753482 to the nearest integer? 10 What is the eighth root of 7017357 to the nearest integer? 7 What is 6883491 to the power of 1/6, to the nearest integer? 14 What is 242565 to the power of 1/4, to the nearest integer? 22 What is 153178 to the power of 1/4, to the nearest integer? 20 What is the fifth root of 2372098 to the nearest integer? 19 What is the third root of 21322 to the nearest integer? 28 What is the square root of 163789 to the nearest integer? 405 What is the square root of 6598768 to the nearest integer? 2569 What is 72318 to the power of 1/10, to the nearest integer? 3 What is the ninth root of 6373772 to the nearest integer? 6 What is 2372934 to the power of 1/2, to the nearest integer? 1540 What is the fourth root of 542047 to the nearest integer? 27 What is the sixth root of 1318540 to the nearest integer? 10 What is the ninth root of 79341 to the nearest integer? 4 What is the third root of 189346 to the nearest integer? 57 What is 19667305 to the power of 1/2, to the nearest integer? 4435 What is 2414390 to the power of 1/2, to the nearest integer? 1554 What is the third root of 21023 to the nearest integer? 28 What is the tenth root of 19727309 to the nearest integer? 5 What is the tenth root of 76961 to the nearest integer? 3 What is the fourth root of 1303239 to the nearest integer? 34 What is 177592 to the power of 1/3, to the nearest integer? 56 What is 20131964 to the power of 1/7, to the nearest integer? 11 What is 2013285 to the power of 1/2, to the nearest integer? 1419 What is the third root of 1627450 to the nearest integer? 118 What is 15269012 to the power of 1/4, to the nearest integer? 63 What is 38854902 to the power of 1/2, to the nearest integer? 6233 What is the square root of 75847 to the nearest integer? 275 What is 144445 to the power of 1/8, to the nearest integer? 4 What is the tenth root of 21247972 to the nearest integer? 5 What is the cube root of 1495404 to the nearest integer? 114 What is 4501505 to the power of 1/3, to the nearest integer? 165 What is 266190 to the power of 1/2, to the nearest integer? 516 What is 2410081 to the power of 1/10, to the nearest integer? 4 What is the square root of 15267873 to the nearest integer? 3907 What is the cube root of 1723232 to the nearest integer? 120 What is 102312 to the power of 1/10, to the nearest integer? 3 What is the third root of 1950183 to the nearest integer? 125 What is 300820 to the power of 1/7, to the nearest integer? 6 What is the seventh root of 70477 to the nearest integer? 5 What is 9910653 to the power of 1/8, to the nearest integer? 7 What is the ninth root of 866470 to the nearest integer? 5 What is 24910635 to the power of 1/3, to the nearest integer? 292 What is 35187956 to the power of 1/9, to the nearest integer? 7 What is the third root of 739940 to the nearest integer? 90 What is 6074073 to the power of 1/3, to the nearest integer? 182 What is 29249543 to the power of 1/6, to the nearest integer? 18 What is 1312423 to the power of 1/3, to the nearest integer? 109 What is the third root of 1535712 to the nearest integer? 115 What is the ninth root of 1828617 to the nearest integer? 5 What is 4318702 to the power of 1/2, to the nearest integer? 2078 What is the third root of 6431671 to the nearest integer? 186 What is the square root of 35425 to the nearest integer? 188 What is 660278 to the power of 1/3, to the nearest integer? 87 What is 2257911 to the power of 1/5, to the nearest integer? 19 What is 11616 to the power of 1/7, to the nearest integer? 4 What is the tenth root of 2041981 to the nearest integer? 4 What is the seventh root of 90164 to the nearest integer? 5 What is the seventh root of 18137976 to the nearest integer? 11 What is the square root of 2099812 to the nearest integer? 1449 What is the cube root of 824703 to the nearest integer? 94 What is 16854836 to the power of 1/3, to the nearest integer? 256 What is the third root of 2256115 to the nearest integer? 131 What is 29021942 to the power of 1/9, to the nearest integer? 7 What is the fifth root of 225034 to the nearest integer? 12 What is 1306099 to the power of 1/7, to the nearest integer? 7 What is the fifth root of 1300424 to the nearest integer? 17 What is 538474 to the power of 1/2, to the nearest integer? 734 What is 18576860 to the power of 1/4, to the nearest integer? 66 What is 13833073 to the power of 1/2, to the nearest integer? 3719 What is the square root of 195955 to the nearest integer? 443 What is the square root of 28662 to the nearest integer? 169 What is 76930 to the power of 1/2, to the nearest integer? 277 What is the cube root of 1187616 to the nearest integer? 106 What is 4475800 to the power of 1/6, to the nearest integer? 13 What is the ninth root of 3563896 to the nearest integer? 5 What is the square root of 4644486 to the nearest integer? 2155 What is 3164145 to the power of 1/3, to the nearest integer? 147 What is 297235 to the power of 1/2, to the nearest integer? 545 What is the ninth root of 515960 to the nearest integer? 4 What is the fourth root of 91825 to the nearest integer? 17 What is 11745 to the power of 1/3, to the nearest integer? 23 What is the fourth root of 6678975 to the nearest integer? 51 What is 1641340 to the power of 1/6, to the nearest integer? 11 What is the eighth root of 179505 to the nearest integer? 5 What is the square root of 2420794 to the nearest integer? 1556 What is the sixth root of 558658 to the nearest integer? 9 What is 18665734 to the power of 1/6, to the nearest integer? 16 What is 604977 to the power of 1/9, to the nearest integer? 4 What is the tenth root of 6596906 to the nearest integer? 5 What is 2201991 to the power of 1/3, to the nearest integer? 130 What is the fourth root of 12279272 to the nearest integer? 59 What is the fifth root of 556508 to the nearest integer? 14 What is 9681289 to the power of 1/2, to the nearest integer? 3111 What is the ninth root of 2555488 to the nearest integer? 5 What is the third root of 6217555 to the nearest integer? 184 What is the cube root of 87885 to the nearest integer? 44 What is 622031 to the power of 1/7, to the nearest integer? 7 What is the cube root of 877331 to the nearest integer? 96 What is 1413981 to the power of 1/3, to the nearest integer? 112 What is 167923 to the power of 1/2, to the nearest integer? 410 What is the square root of 184102 to the nearest integer? 429 What is 414113 to the power of 1/6, to the nearest integer? 9 What is the third root of 15228084 to the nearest integer? 248 What is the third root of 258777 to the nearest inte
{ "pile_set_name": "DM Mathematics" }
y = -23 - -24. Let d(w) = -8*w**2 + w - 1. Calculate d(y). -8 Let y(p) = 2*p + 14. Let r be y(-10). Let t(h) = 2*h - 4. Give t(r). -16 Let y(w) = 6*w**2 - 1. Let x be y(1). Let m(f) = 2*f - 2. What is m(x)? 8 Let f(i) be the first derivative of 3*i**2/2 - 4*i - 14. Determine f(-6). -22 Let n(b) = -4*b - 2*b**2 + 4*b**2 + 3 + 0*b**2. Let l be (10 + -14)*(-2)/4. Calculate n(l). 3 Let u(j) = j + 7. Let q(a) = a**3 + 9*a**2 + 5*a + 6. Let w be q(-8). Suppose -6*i = -i + w. Give u(i). 1 Let t(w) = 3 + 11*w**2 - 26*w**2 + 1 - 3. Let n = 3 - 4. Give t(n). -14 Let c(v) = 5*v**2. Let z be 9 + -8 - (-1 + 0). Suppose z*j + 0*j = 4*a + 6, j - 5*a = 6. Calculate c(j). 5 Let a be ((-6)/8)/((-4)/(-8)*-3). Let u(m) be the third derivative of 0 - a*m**3 + 0*m - m**2 - 1/8*m**4. Determine u(-2). 3 Suppose -3*f + 16 = 31. Let m(j) = j**3 + 6*j**2 + 5*j + 5. Calculate m(f). 5 Let o(p) = 2*p - 5. Let f be o(4). Let t(j) = -2*j - 1. Let i(l) = l. Let h(d) = -4*i(d) - t(d). Calculate h(f). -5 Let m = -10 - -15. Let j(n) = -n - 3. Let u(o) = -6*o - 15. Let g(c) = -11*j(c) + 2*u(c). Calculate g(m). -2 Let v = 3 + -2. Let x(l) = -2*l + 0*l - 7 + v. Let y be (-4)/26 + (-76)/13. Calculate x(y). 6 Let p(x) = 0 + x + 4*x - x**2 - 1. Determine p(4). 3 Let o(w) = -w + 6. Let z = 6 + -4. Let c(b) = 3*b. Let h be c(z). What is o(h)? 0 Let t(m) = m**2 + 8*m + 6. Let a be (-1 + -1 + -5)/1. Give t(a). -1 Let z(i) = 4 - 3 - i - i**2 - i + i. Give z(1). -1 Suppose 72 = 4*h - 16*h. Let s(z) = 1 + 9 - 3 + z. What is s(h)? 1 Let r(p) = -p**2 + 4*p - 6. Let o be r(4). Let g be o + 21 + -1 + 1. Suppose 5*f - 9 = -k, -2*k - g = -3*f + 2*f. Let y(a) = -a - 3. What is y(k)? 3 Let o(s) = 5 + 2*s**3 - 3*s**3 + 2 + s. Give o(0). 7 Let d(z) = 3*z + 1. Let n(v) = -10*v - 4. Let u(o) = -7*d(o) - 2*n(o). Let x(q) = -q**3 - 12*q**2 - 10*q + 5. Let m be x(-11). What is u(m)? 7 Let i(n) = -2*n**2 + 2 + 3*n - 3*n + 0*n - 2*n. What is i(3)? -22 Let k(o) = o**2 + o - 1. Let l(q) = 2*q**2 - 6*q + 6. Let p(a) = 6*k(a) + l(a). Determine p(-1). 8 Suppose 0*r = 5*r + 4*w - 40, -2*r - 7 = -3*w. Suppose 0 = 2*o + r - 0. Let x(i) = -i**2 + 1. Determine x(o). -3 Let n(u) = u**2 - 5*u. Let f be (1 + 1 - 2) + -9. Let s = f - -13. Suppose 5*r + 3 = 2*r, -s*p - 5*r + 19 = 0. What is n(p)? 6 Suppose b = 8 + 8. Suppose 2*p + 3*s + 0 = 10, 3*s - b = 4*p. Let y(f) = 4*f - 1 + 5*f - 2*f. Give y(p). -8 Let w(v) = 8*v**3 + 5*v**2 + 3*v + 1. Let n(a) = -3*a**3 - 2*a**2 - a. Let y(q) = 11*n(q) + 4*w(q). What is y(-3)? 10 Let t be (-1)/4 - 14/8. Suppose 3*r = -0*r + 6. Let a be t/(-2) - r/(-2). Let h(m) = -m**2 - 2*m + 2. Calculate h(a). -6 Suppose 2*a - 4*a - 3*o = 12, 2*o + 8 = a. Let v(l) = -l**2 + l - 3. Determine v(a). -3 Suppose 2*u + 12 = 5*u. Let m(i) = 5*i**2 + 4*i**3 - 4*i - u*i**2 - 3*i**3 - 1 - 3*i**2. Suppose 0 = k + k - 6. Determine m(k). -4 Let k(y) = y**3 - 2*y**2 + 2*y - 3. Let n(j) = -j - 2. Let s be n(3). Let q(o) = 2*o**3 - 5*o**2 + 5*o - 6. Let h(l) = s*k(l) + 3*q(l). What is h(3)? -6 Let k(a) be the third derivative of a**4/12 - 3*a**3/2 - 45*a**2. Calculate k(7). 5 Suppose 0 = -3*v - y + 4, 5*v = -2*y + 14 - 7. Let i(d) = 1 + d - d - 8*d**2. Determine i(v). -7 Let a(m) = -m**3 - 2*m**2 + 4*m - 3. Let s be a(2). Let j = -5 - s. Let y = 2 - j. Let k(q) = q - 1. What is k(y)? -5 Let c(p) = 5*p**2 + 4*p - 7. Let v(f) = -4*f**2 - 4*f + 6. Let a(k) = -3*c(k) - 4*v(k). Suppose -3*q + 16 - 4 = 0. Suppose -q = -d + 2*d. Give a(d). -3 Let q(t) = t + 1. Let s be q(-6). Suppose 2*w = -2*k + 6, w - 7*k + 2 = -3*k. Let m(z) = -w*z + 4*z - z + 9. What is m(s)? 4 Let h(v) be the second derivative of v**6/120 - v**5/60 + v**3/3 - 2*v**2 + v. Let n(x) be the first derivative of h(x). Give n(2). 6 Let w(f) = -f - 13. Let j be w(-8). Let z(q) = q**2 + 5*q - 6. What is z(j)? -6 Let q = 4 + -3. Let h(w) = 1. Let c(x) = 3*x + 3. Let l(p) = q*c(p) - 3*h(p). What is l(-1)? -3 Let p(y) = 0*y - 1 + y + 0*y + 3. Suppose 0 = -0*s - 2*s + 10. Calculate p(s). 7 Let h(x) = -9*x**3 + 4 - 6*x**3 - 5 + 3*x**2 - x + 14*x**3. Suppose -4*o + 14 = -p, -5*p - 2*o + 13 + 5 = 0. Give h(p). 1 Let v(u) = u**3 - 3*u**2 - 4*u + 3. Suppose -2*y = y + 2*h - 3, 4*h + 15 = y. Give v(y). -9 Let s(g) = -g - 1. Let b = 24 - 24. Determine s(b). -1 Let n(r) be the first derivative of r**3/3 + r**2/2 - r - 12. Determine n(1). 1 Let t(l) = -l**2 + l - 1. Let o(q) = q - 3. Let i be o(3). Determine t(i). -1 Let f = 5 + -3. Suppose -w - 2*w - 16 = -u, -f*w - 14 = u. Let a = w + 2. Let t(h) = h**3 + 5*h**2 + h - 4. Determine t(a). 8 Suppose t + 0 = 1. Let o(m) = t + 2*m - 2*m + 3*m. Give o(1). 4 Let k(w) = -7*w**3 + w**2 + 2*w + 1. Let n be ((-2)/(-4))/(1/36). Suppose -2 = -4*l + 2*y, 3*l + 5*y + n = -0*y. Give k(l). 7 Let r = 6 + -4. Let l(z) = -3*z - 3 - z**3 + 9*z**r + z - 4*z**2. Suppose 2*x = a + 9, 0*x - 5*x - 3*a + 17 = 0. What is l(x)? 5 Suppose 22 = 2*t - 5*o, -4*t = 2*o + 2 + 2. Let s(m) = 3 - 3 - 3*m**2 - 2*m + t. Calculate s(-2). -7 Let g(v) = v**3 - 4*v**2 + 4*v - 3. Suppose 0 = 5*k - a - 22, -4*k - 3*a = -0*a - 29. Let r(y) = 2*y - 7. Let b be r(k). Suppose -b*n + 15 = 2*n. What is g(n)? 0 Let c = 16 + -10. Let r(t) = 6 - 3*t + c*t - 2*t + 0*t. Calculate r(-5). 1 Let w(p) be the first derivative of -3/2*p**2 + 3 + 1/3*p**3 - 2*p. What is w(3)? -2 Suppose 0*k + 5*k + q = 13, 3*q = -3*k + 15. Let m = -3 + 5. Let c be (-2)/(m/6*k). Let g(v) = -v**3 - 5*v**2 - 3*v - 2. Give g(c). -11 Let v(b) be the second derivative of b**5/20 + b**4/6 - b**3/3 - 3*b**2/2 + 26*b. What is v(-2)? 1 Let l be 2/3 - 13/(-3). Let w(u) = u**2 + u. Let x be ((-3)/(-12))/(1/4). Let i(c) = -6*c**2 + 2. Let t(d) = x*i(d) + 5*w(d). What is t(l)? 2 Let x(b) = -2*b + b - b**3 - 59*b**2 + 62*b**2 + 6*b - 1. Let p = -15 - -10. Let d = 9 + p. Calculate x(d). 3 Let k(j) = -14*j**3 + 4*j**2 - 9*j - 23. Let z(w) = 5*w**3 - w**2 + 3*w + 8. Let h(v) = -4*k(v) - 11*z(v). Let q = -2 - -6. Determine h(q). 0 Let s(k) be the third derivative of k**4/12 + 5*k**3/6 - k**2. Let b be (-21)/12*(-36)/42*-4. What is s(b)? -7 Let f(g) be the first derivative of 2*g**2 + 4*g - 9. Suppose -5*i + 4*i = 3. Determine f(i). -8 Let a(h) = -h**3 + 6*h**2. Let w be 3/4 + 26/8. Suppose -2 = -3*k - 0*g - w*g, -k - g + 2 = 0. Determine a(k). 0 Let z(v) = -3*v + 1. Let l be z(1). Let w = l + -2. Let k(m) be the first derivative of m**4/4 + m**3 - 5*m**2/2 - 5*m + 1. Give k(w). -1 Let k(c) = -c**3 + c**2 + c. Let p(f) = -f**3 + 4*f**2 + 2*f + 1. Let m(a) = 3*k(a) - p(a). Give m(1). -3 Suppose 10 = -4*h + 9*h. Suppose -y - h*y = 9. Let f(o) = -o**2 - 5*o - 2. Give f(y). 4 Let s(t) be the third derivative of -t**6/120 - t**5/12 + 7*t**4/24 + 7*t**3/6 + 2*t**2. Give s(-6). 1 Let g(c) be the second derivative of c**5/20 + 5*c**4/12 + 2*c**3/3 + c**2/2 - 2*c. Let m = -25 - -45. Let l be (-30)/(-25)*m/(-6). Give g(l). 1 Let s(w) = 3*w. Suppose -2*z + 5*z = 0. Suppose o + z = 3. Give s(o). 9 Let d(l) = 3*l**3 - 4*l**2 + 4*l - 3. Let j(u) = -13*u**3 + 16*u**2 - 16*u + 12. Let x(c) = 9*d(c) + 2*j(c). Determine x(2). -3 Let b(d) = -3*d + 1. Let o be (-3)/5 + (-4)/10. What is b(o)? 4 Suppose -17 + 1 = 4*x. Let w(v) = -v**2 + 0*v**2 + 5 + v**3 + 7*v + 7*v**2. Calculate w(x). 9 Let u(i) = 0 - 1 + 2 - i. Let z(j) = 0*j**2 + 12 + j**2 + 11*j - 2*j**2. Let l be z(12). Calculate u(l). 1 Let t(o) = 2*o**2 - 1 - 3*o**2 + 6*o + 5*o. What is t(11)? -1 Let p be (-1 + 3)*1/(-2). Let s(h) be the second derivative of 1/12*h**4 - 3*h + 1/20*h**5 + 0 + 1/3*h**3 + 1/2*h**2. Determine s(p). -1 Let a = -3 + 6. Let g be -1*(-12)/(3 + 1). Let f(k) = 5*k**g - 12*k**3 - 3*k**2 + 8*k**3 - 3 + 3*k. What is f(a)? 6 Let j(w) be the third derivative of -w**4/24 + w**3/6 - w**2. Determine j(4). -3 Let p be 2 + (-3)/(-2 + -1). Let j(h) = h**2 - h. Let v(n) = 2*n**2 - n. Let c(d) = p*v(d) - 2*j(d). What is c(-1)? 5 Let z(f) = f + 2. Let h = 12 - 8. Suppose -4*r = 2*v - 7*v - 61, 4*v - h*r = -52. Let j(i) = 2*i + 5. Let y(k) = v*z(k) + 4*j(k). What is y(-2)? 4 Let k(m) = -2*m**3 - 4*m - 7. Let p(d) = -3*d**3 - d**2 - 8*d - 13. Let r = 20 + -17. Let o(v) = r*p(v) - 5*k(v). Calculate o(4). -4 Let s(j) = j**3 - 6*j**2 + 4*j. Let x(y) = 4*y + 4. Let p be x(4). Suppose 5*h + p = h, 5*d + h - 20 = 0. Determine s(d). -5 Let l(o) = -5 - 4*o**3 - 4 + 5*o**3 - o*
{ "pile_set_name": "DM Mathematics" }
- 127 for p. 7 Solve -252 + 1122 = -87*k for k. -10 Solve 0 = -8*k - 18*k + k - 225 for k. -9 Solve 103*f = 12 + 1739 for f. 17 Solve 11*b - 451 = 81*b - 171 for b. -4 Solve -69*c - 928 = -245 + 352 for c. -15 Solve -6*v - 1246 = 100*v - 2942 for v. 16 Solve -30*k + 77 - 17 = 0 for k. 2 Solve -34*q - 34*q + 58*q + 130 = 0 for q. 13 Solve -1704*x = -1729*x + 725 for x. 29 Solve 2*y + 50*y = 416 for y. 8 Solve 1192*k - 462*k - 18481 + 1691 = 0 for k. 23 Solve -19*r + 1432 = -3*r + 1416 for r. 1 Solve 400 - 353 - 347 = 25*q for q. -12 Solve 566*s - 287*s = 3348 for s. 12 Solve 0 = 224*v - 220*v + 8 for v. -2 Solve 75*t = 136*t + 1098 for t. -18 Solve 77*u = 1533 - 840 for u. 9 Solve 8*p - 131 - 77 = -18*p for p. 8 Solve -111*f + 1260 = -1626 for f. 26 Solve 1333 - 4343 = 215*a for a. -14 Solve -1463*k + 1516*k = 477 for k. 9 Solve -47*k + 99*k + 936 = 0 for k. -18 Solve 63*v - 24*v = -67*v + 2014 for v. 19 Solve -2052 = -14*c - 2122 for c. -5 Solve -2941 = -34*x - 2091 for x. 25 Solve 8658 = 603*h - 381*h for h. 39 Solve -295*o - 554 = -18*o for o. -2 Solve -75*s - 120*s + 1755 = 0 for s. 9 Solve 16*f - 109 - 243 - 64 = 0 for f. 26 Solve 10*x + 3*x = 5*x - 8 for x. -1 Solve 170 = 36*c + 62 for c. 3 Solve 85*f + 1615 - 255 = 0 for f. -16 Solve -34969*o - 82 = -34928*o for o. -2 Solve 875*v = 417*v - 3447 + 699 for v. -6 Solve 25*u - 30 = -0*u - 130 for u. -4 Solve 69*f - 52*f + 136 = 0 for f. -8 Solve 0 = 479*s - 489*s + 70 for s. 7 Solve 81*d + 960 = -79*d for d. -6 Solve 0 = 116*q - 430 - 846 for q. 11 Solve 0 = -43*i + 9*i + 9*i + 300 for i. 12 Solve 57*y - 7*y + 37 + 163 = 0 for y. -4 Solve 8*h = -189 + 253 for h. 8 Solve -34*u - 318*u + 3600 = -52*u for u. 12 Solve -299*d - 333*d = -242*d + 8190 for d. -21 Solve -2*i = -136*i - 1608 for i. -12 Solve 4*m = m + 5*m + 22 for m. -11 Solve -22*u + 3073 = 3051 for u. 1 Solve 22*t + 26*t + 480 = 0 for t. -10 Solve -178365*s + 178348*s - 476 = 0 for s. -28 Solve 676 = -33*h + 1072 for h. 12 Solve 1434 = 225*r + 534 for r. 4 Solve -179*s = -191*s + 180 for s. 15 Solve 0 = -23*j - 3332 + 3217 for j. -5 Solve 36*n + 144 + 122 = -2*n for n. -7 Solve -5*b + 27 + 20 = 22 for b. 5 Solve -7707 = -648*a - 453*a for a. 7 Solve 282*m = 406*m + 248 for m. -2 Solve -8*d - 46*d + 988 = -2*d for d. 19 Solve -1487*b + 1453*b + 24 - 738 = 0 for b. -21 Solve 5886 - 5036 = 50*a for a. 17 Solve 79*c - 1203 = -31*c - 433 for c. 7 Solve -33*h + 1961 + 2460 - 3266 = 0 for h. 35 Solve 17*f + 155 = 189 for f. 2 Solve 232 = -5610*i + 5602*i for i. -29 Solve -18 + 84 - 26 = 10*x for x. 4 Solve -47*l + 972 + 15 = 0 for l. 21 Solve -29454*f + 29395*f - 1298 = 0 for f. -22 Solve -32*p = 47*p - 49*p + 630 for p. -21 Solve 653414*l - 653409*l = -130 for l. -26 Solve -280*u + 294*u + 270 = 32 for u. -17 Solve 8*w - 8*w = -19*w for w. 0 Solve 0 = -190*u + 2555 + 105 for u. 14 Solve 76*f + 2751 = 3207 for f. 6 Solve -553927*o + 85 = -553944*o for o. -5 Solve -326*h = -60*h + 2660 for h. -10 Solve 147*p = -241*p + 12384 + 1196 for p. 35 Solve -130 = -18*k - 220 for k. -5 Solve 652 + 1644 = -164*s for s. -14 Solve 0 = 5365*u - 5329*u - 468 for u. 13 Solve -27*g = -58*g + 434 for g. 14 Solve 572 = -70895*i + 70869*i for i. -22 Solve 0 = -65*v - 3 - 127 for v. -2 Solve -1975*b + 21 = -1954*b for b. 1 Solve 5720*y = 5451*y - 7532 for y. -28 Solve 230*o - 739*o = -6617 for o. 13 Solve 14*m = 12*m - 40*m for m. 0 Solve -1231 = -15*h - 1396 for h. -11 Solve -26*g - 1240 = -9*g + 107*g for g. -10 Solve -107*s + 40869 = 37980 for s. 27 Solve -69*d - 21447 = -22758 for d. 19 Solve -4771 = -40*q - 24*q - 303*q for q. 13 Solve 26*y - 17*y - 1170 = -81*y for y. 13 Solve 0 = -289*s + 119*s + 3060 for s. 18 Solve -238*c - 5432 = 99*c + 51*c for c. -14 Solve -13*n = 9*n - 236 + 16 for n. 10 Solve -87*s + 152 = -77*s + 22 for s. 13 Solve 47*o - 26*o = 25*o - 16 for o. 4 Solve -502 - 214 = -358*h for h. 2 Solve 258*c + 208 = 5110 for c. 19 Solve -772*g + 24177 = 109*g - 491 for g. 28 Solve -15*r - 56*r = 752 - 184 for r. -8 Solve 18*u + 22 = -176 for u. -11 Solve 65*d - 3*d + 177*d - 2151 = 0 for d. 9 Solve 7160 - 30608 = 343*u + 634*u for u. -24 Solve 179*z = -7*z + 105*z + 1458 for z. 18 Solve -1557*y = -1535*y for y. 0 Solve -55*i - 363 - 847 = 0 for i. -22 Solve 2028*f + 100 = 2048*f for f. 5 Solve -9648 = 25*i - 10223 for i. 23 Solve 0 = -62*c - c - 41*c - 1456 for c. -14 Solve 209 = -9*w + 182 for w. -3 Solve 0 = 145*x + 240*x + 14*x + 4788 for x. -12 Solve -120*s = -89 - 262 - 249 for s. 5 Solve 234*z - 2325 = 483 for z. 12 Solve 14562 = 316*m + 493*m for m. 18 Solve -12 = -30800*b + 30803*b for b. -4 Solve 48 = 403*u - 400*u for u. 16 Solve -14*k = 13706 - 13818 for k. 8 Solve -35*a = 7344 - 6784 for a. -16 Solve y - 14*y - y = y for y. 0 Solve 1219 = -479*g - 1024 + 327 for g. -4 Solve 91*i - 264*i - 7 + 1564 = 0 for i. 9 Solve -488*j - 3058 = -627*j for j. 22 Solve -73*r = 41*r - 182*r + 544 for r. 8 Solve 9938 = 497*l + 2483 for l. 15 Solve 1698 - 1683 = -q for q. -15 Solve 11 = -29*m + 35*m + 173 for m. -27 Solve 10*k - 11 = -56*k - 77 for k. -1 Solve 95*z - 7916 = -11146 for z. -34 Solve -76*a - 62 - 14 = 76 for a. -2 Solve 65*q + 502 = 336 - 484 for q. -10 Solve -3347 = -306*p + 1855 for p. 17 Solve -469 = -70280*r + 70337*r - 1324 for r. 15 Solve 713 - 1181 = 26*f for f. -18 Solve 13*r + 173 - 316 = 0 for r. 11 Solve 271*j = 291*j - 280 for j. 14 Solve 753*g = 914*g + 805 for g. -5 Solve -909 = -91*r + 767 - 220 for r. 16 Solve 0 = -122131*y + 122119*y for y. 0 Solve -440 = -38*z + 44 + 390 for z. 23 Solve -44*u = -24*u - 100 for u. 5 Solve -17*z + 144 = 21*z - 20*z for z. 8 Solve 0 = -17*g - 16435 + 16911 for g. 28 Solve -2410*j + 2262*j - 913 = 1307 for j. -15 Solve -84 + 420 = -8*c + 29*c for c. 16 Solve -775 = 15*w - w - 551 for w. -16 Solve -19211 = -35*k - 18861 for k. 10 Solve 782*k = 760*k + 220 for k. 10 Solve 13*c + 5168 = -259*c for c. -19 Solve -52 - 62 = -15*j + 51 for j. 11 Solve -11*c + 1160 = 63*c + 42*c for c. 10 Solve -82*i + 300 - 77 = -351 for i. 7 Solve 63*i + 19 = 25*i + 399 for i. 10 Solve 15*b + 285 + 55 = -2*b for b. -20 Solve -2060*s + 17120 = -2488*s for s. -40 Solve 515*n - 2781 - 432 = 56*n for n. 7 Solve 73*g + 9135 = 228*g + 4485 for g. 30 Solve 48 + 46 = 94*x for x. 1 Solve 3*h - 4*h + 28 = -3*h for h. -14 Solve -1073 = 8*z - 897 for z. -22 Solve -7*w - 15*w - 132 = -0*w for w. -6 Solve -145 - 8782 = -738*o + 2143 for o. 15 Solve -210*i + 194 - 1244 = 0 for i. -5 Solve 244*m = -794*m + 31140 for m. 30 Solve -2504 = 70*s - 341*s + 1290 for s. 14 Solve 286*r - 144 = 1201*r - 1974 for r. 2 Solve 8*z = -503 + 535 for z. 4 Solve -1313 = 340*p + 320 + 67 for p. -5 Solve -333 = -246*n + 2163 + 210 for n. 11 Solve 21 + 95 = 29*q for q. 4 Solve -399783 = -17*t - 400123 for t. -20 Solve 208*p + 240 = 238*p for p. 8 Solve -1992*f = -2017*f - 150 for f. -6 Solve 5*n + 10*n + 93 = 33 for n. -4 Solve 532 = 41*h + 37*h - 326 for h. 11 Solve -24*k - 430*k = -23*k + 14654 for k. -34 Solve 77*u - 91*u = -252 for u. 18 Solve 0 = 115*w + 153*w + 75*w - 4116 for w. 12 Solve 0 = 31*p - 152 + 121 for p. 1 Solve 7*a = 26*a - 210 - 170 for a. 20 Solve 9*l + 9 = 12*l for l. 3 Solve -37*i = 40*i - 20 - 57 for i. 1 Solve -18*x + 30*x = 22*x for x. 0 Solve -34*t + 752 - 515 = -613 for t. 25 Solve 7521 = 35*n + 7731 for n. -6 Solve 50 = -137*t - 11*t + 346 for t. 2 Solve -67 = -26*i - 249 for i. -7 Solve -24*f - 140 = -716 for f. 24 Solve 60*x = 29*x + 22*x + 45 for x. 5 Solve 13 = s - 18 + 36 for s. -5 Solve -10*c - 645 = -605 for c. -4 Solve 0 = 101*j + 158 + 852 for j. -10 Solve 23*p + 24 + 232 = -158 for p. -18 Solve -4*t + 3*t + 416 = -53*t for t. -8 Solve -25*v = -45 + 370 for v. -13 Solve 34*k + 45 = 49*k for k. 3 Solve 0 = -54968*c + 54956*c + 180 for c. 15 Solve -9756 = -204*s - 13020 for s. -16 Solve 887*g - 454*g + 260 = 459*g for g. 10 Solve -62 = -391*n + 329*n for n. 1 Solve 282*v - 501*v + 2924 = -47*v for v. 17 Solve o + 9050 - 9053 = 0 for o. 3 Solve 0 = -203938*v + 203983*v - 90 for v. 2 Solve 85*o = 19*o + 594 for o. 9 Solve -159*v + 6 = -153*v for v. 1 Solve -12 = 44*p + 9 + 23 for p. -1 Solve 235*y = 421*y - 1488 for y. 8 Solve 973 - 983 = -q for q. 10 Solve 0 = -54*n - 246 - 402 for n. -12 Solve -76*t = -1591
{ "pile_set_name": "DM Mathematics" }
6 + 756/(-60) + 6/(-15) + 0. Solve -n*d + 3*f = -15, 0 = -4*f + 7*f + 6 for d. 3 Suppose -5*j - 2*d + 104 = 0, -4*j = 88*d - 87*d - 85. Suppose l = j - 18. Solve 5*m - 4*b + 0 + 8 = 0, 5*b + 31 = -l*m for m. -4 Let z(f) = -6*f**2 + 31*f - 21. Let i be z(1). Solve -26 = 4*l - 2*l + i*n, -5*n = 3*l + 35 for l. -5 Suppose 3081 = 520*h - 2639. Solve -2*b = 12*l - 9*l + h, -l = 1 for b. -4 Let p = 24728 - 24695. Solve p*n - 30*n - 3*c - 15 = 0, -4*n - 3*c + 20 = 0 for n. 5 Let v = -557 - -557. Suppose 41*u - 51*u + 50 = v. Solve -5*o + 8 + 2 = u*g, -4*g - 4 = 0 for o. 3 Let p be ((-8)/(-22))/(34/187). Let d = -9 + 21. Suppose 5*t + 3*y = 18, 0*t + 5*t + 4*y - 19 = 0. Solve -2*j - t*n + 1 = 0, 0*n - p*n - d = -5*j for j. 2 Suppose 5*x - 3*h = -4*h + 30, -h + 6 = x. Let y be (552/230)/(x/10). Solve y*d = 3*k + 2, -3*k = d - 5 - 3 for d. 2 Let t be -43 - (-15)/(-6)*12/(-10). Let k be t/260 + 28/13. Let c = 2 - k. Solve 2*m = m + 5*g - 4, c = -5*g for m. -4 Suppose -30*s = 30*s - 240. Solve 4*b - 2*b = 4*i + 2, 0 = -2*i - s*b + 24 for i. 2 Let y(a) = -a - 1. Let s be y(11). Let w = s - -16. Suppose -3*m + 0*m + 59 = -2*q, -4*m - w*q = -52. Solve 3*c = 6*c - 2*p - 7, -4*p = -3*c + m for c. -1 Suppose -90 = -5*t + 2*t - 60. Solve -2*c + 18 = 5*s, 5*c - 2*s - 3*s - t = 0 for c. 4 Let i be (5/(-10))/((-10)/(-40))*5/(-2). Solve -i*o + 14 = -y, o - 2 - 4 = -3*y for o. 3 Let q = -506 + 506. Suppose q*i - 2*h = i + 7, 5*i - 4*h = 35. Solve -i*o - 6 = 3*a, 2*a + 12 = -0*a - 4*o for a. 2 Let c be (-4 - 692/(-28)) + (-8)/(-28). Suppose c*w - 160 = 13*w. Solve 5*d + t = 16, 3*t + 52 = 5*d + w for d. 4 Let w be 3/(3/4) + 0. Suppose 3*l - 51 = -0*l - 3*p, -w*l + 84 = -4*p. Let s = -435 - -439. Solve -t = -5, -o + 4 - l = -s*t for o. 5 Let o be (-2)/6*(2 - 14). Suppose 0 = -3*x + 2*p + 27, 2*x - 14*p - 18 = -16*p. Let f = -24 - -28. Solve 2*k + 14 = f*y, -5*k + x = o*y - 2*k for y. 3 Let o be -1*(-1*1 + -26). Let l(k) = -k**3 - 26*k**2 + 25*k - 31. Let p be l(-27). Suppose 0 = -6*x + p - 11. Solve x*v + 2 - 10 = -2*h, 5*v = 2*h + o for v. 5 Suppose -6*d + 10*d + 528 = 0. Let n = d - -136. Solve -o + 2*i + 3 + 5 = 0, -2*o - n*i = 0 for o. 4 Let j = -127 - -219. Suppose -32*p + j = -9*p. Solve 3*a - 2*a = -5, -21 = n + p*a for n. -1 Let f(a) = 19*a + 98. Let c be f(-5). Solve -c*q - 2*q - 5 = 5*y, 3*y = -2*q - 5 for y. -3 Let g(j) = -j**3 + 16*j**2 - 30*j + 33. Let v be g(14). Solve d + 0*d = v*u - 8, 5*d + 13 = -2*u for d. -3 Suppose 61*h - 134 = 171. Solve -5*x - 8*k + 3*k + 5 = 0, 4*x - h*k = 40 for x. 5 Suppose 76 - 50 = c + 4*x, 3*x - 104 = -4*c. Solve s + 18 = -15*a + 11*a, 0 = -3*s + 4*a + c for s. 2 Let y(k) = -12*k**2 + 26*k - 47. Let u be y(6). Let i = 323 + u. Solve i = 4*t - 4*x - 16, -3*t + 4*x + 4 = 3*x for t. 0 Let c(x) = 2*x**2 + 9*x + 18. Let s be c(-4). Let u = s + -11. Suppose 0 = -t + u - 1. Solve -4 = -t*b - h + 2, -4*h = -8 for b. 2 Let o = -798 + 790. Let p = 9 + -15. Let t = p - o. Solve -t*b - 4*f = 18, 4*b - 3*f - 2 + 16 = 0 for b. -5 Suppose -237 - 33 = -5*s. Let l = -50 + s. Solve l*x = 3*v + v, -3*v - x = -12 for v. 3 Let p be (-2)/3*(-7)/14*12. Let h = -51 + 54. Let d = 138 - 121. Solve -3*o = -2*f + d, -4*f = -h*f + p*o + 8 for f. 4 Let w(b) be the second derivative of 2*b**3/3 + b**2/2 - 2*b + 13. Let d be w(1). Solve -o = 2, 0*o = -d*y + 3*o + 6 for y. 0 Let z be 1 - ((-5)/(-3))/((-310)/372). Solve -z = -3*r, -3*r = 51*c - 47*c - 11 for c. 2 Let p be (2907/3078 - 8/18)*0/(-1). Solve -2*j + 8 = -2*g + 6, -g - j - 5 = p for g. -3 Let u(k) = 1102*k - 7713. Let z be u(7). Solve 7*x + 12 = 10*x, 0 = -3*o + 2*x + z for o. 3 Suppose 4191 = 34*s + 4021. Suppose -3*j - 2*j = 0. Solve 0 = h + 2*h - s*f + 23, -2*h + 5*f - 22 = j for h. -1 Let p = 290 + -451. Let h = -143 - p. Solve 3*g - 18 = -3*t, -h = t - 6*t + g for t. 4 Let p be ((-5)/2)/(1/(-10)). Suppose -p = -3*k - 2*k. Suppose 4*r = -4*h + 36, 493*h - 495*h = r - 13. Solve z - 6 = -3*n + h, z = -k*n + 14 for z. 4 Let g = 6337 + -6331. Solve 11 - g = -2*c - p, -4*p = c - 1 for c. -3 Let n = -4614 + 4614. Solve t + 0*t + k - 10 = n, -2 = t - 3*k for t. 7 Let f = -20825 - -20828. Solve 13*j - 14*j - f*x - 2 = 0, -3*x - 10 = 5*j for j. -2 Let a be (3/1)/((-66)/(-88)). Let q be (-3)/(-12) - (-47)/a. Suppose q*v - 1 = 35. Solve -x - s - 1 = 0, v = -5*x + 2*x + 3*s for x. -1 Let u = 255 - 156. Suppose z = -96 + u. Solve 2*m = 5*i + 21, 0 = -z*m + 5*m - 4*i - 18 for m. 3 Let j be 2*2 - (-14 - 54). Let a = -66 + j. Suppose -i = a - 8. Solve i*k = -q, 6*k - 3*k + 22 = 4*q for k. -2 Let t be (-1)/2 + (-1)/(-2). Suppose -54*g + 4*v = -51*g + 12, g + v - 3 = 0. Solve 0 = -3*b - 4*y + 7, g = 5*b - t*b - 5*y + 35 for b. -3 Let h be 135/60*(-1 - (-14)/6). Suppose 4*c - h*s - 8 = 0, -27*c + 25*c - 6 = -4*s. Solve p - 15 = 4*n, -2*n = -3*p + 2*p + c for p. -5 Let y(w) = 4*w**2 - w. Let n be y(-1). Let t be 8/14*1799/514. Solve -5*z = t*u + 3*u - 5, 4*z = n*u + 4 for u. 0 Suppose p = 11*x - 7*x + 1, 3 = 3*x. Solve -p*y + 14 = 16*c - 18*c, 5*c = -5*y for c. -2 Let b(w) = 152*w + 613. Let f be b(-4). Suppose v = -3*d - 1, -4*d - 11 = -4*v - d. Solve -3*x = -2*x + f*n - 11, -5*n = v*x - 12 for x. 1 Let w(l) = 4*l + 30. Let c be w(-7). Let u be -2*(c - (-9)/(-3)). Suppose 0 = 4*h - 5*h + 2. Solve u*z = -z - 6, -4*a + 3*z - h = 0 for a. -2 Let x(v) = 12*v**2 - 419*v - 28. Let y be x(35). Solve 4*d = 3*d - 3*o + y, o + 3 = 5*d for d. 1 Let u = -25152 - -25164. Solve -18 = 3*h - 3*o - u, 26 = 3*h + 5*o for h. 2 Let u be (-6)/(-27)*-3 + 14/3. Let c be u/(-24) + (-74)/(-12). Solve 0 = 5*f + i - 18, -4*i + c = -f - 3 for f. 3 Suppose -3*c - a = -12, 160*a = 4*c + 158*a + 4. Solve -5*n + 8*f = 5*f + 6, -2*n + 4 = c*f for n. 0 Suppose 0 = c + 3, 6*y - 6*c = -7*c + 15. Solve -y*u - 11 = -g - 8*u, -g = u + 1 for g. -4 Let b be 1*(17 + 3 + -11). Solve 6*p + 25 = p - 4*o, 0 = -4*p - o - b for p. -1 Suppose 2*f - 3*a - 6 = 0, 13 = 5*f - 4*a - 2. Let o be 0 - 2 - (-21)/f. Suppose -i - o*i = -18. Solve -3*n + 7 = -k + 2*k, n + 11 = -i*k for n. 4 Let j(x) = 7*x**2 - 5*x + 7. Let m be j(7). Let o = m - 307. Solve -4*q = 4*n - 2*n + o, 23 = 4*n - 5*q for n. 2 Suppose -i + 32 - 2 = -3*p, -2*i = 3*p - 87. Suppose -5*o + i + 26 = 0. Let w be ((-415)/(-15) - 3)/((-4)/(-6)). Solve -5*y - 2*g = g + w, -y = 2*g + o for y. -5 Let l(p) = -p**2 + 3*p - 8. Let g be l(4). Let s(o) = -2*o**2 - 23*o + 15. Let y be s(g). Solve 0 = -3*a - y*k, k - 5*k = 3*a + 2 for a. 2 Let w be -3 + 3/((-9)/(-24)). Let g(k) = -k**3 + 3*k**2 + 6*k - 5. Let u be g(4). Let q = 1 + u. Solve -27 = w*h + 2*s, 3*h = -2*s + q*s - 13 for h. -5 Suppose 65*j = 52*j - 39. Let g be (((-12)/(-14))/j)/(14/(-98)). Solve 0 = 3*b + 5*x + 20, -g*x + 4 = -b + 12 for b. 0 Suppose -107*y + 1134 = 64. Solve 4*z - y = 9*v - 7*v, -v + 4*z = 15 for v. 5 Suppose 0 = h - 9 + 27. Let c be ((-3)/(-9))/((-3)/h). Solve k - c*f - 1 = 0, -22 = 5*k - 2*f + f for k. -5 Let z = 8952 - 8950. Solve -z*h + 5*j + 15 = 2*h, -15 = 5*h + 5*j for h. 0 Let x = 949 - 937. Suppose -5*q + d + 0 = -12, -4*q + 2*d + x = 0. Solve 0 = -c + 7 - q, 3*c - 30 = -3*f for f. 5 Let o be (-53 - -5)/(-2 + 20/15). Suppose -74*k - o = -82*k. Suppose 12 = 2*x + x. Solve -3*v = -k*w + x*w + 20, -4*v = -5*w + 25 for v. -5 Suppose 0*q + 3*q = -5*m + 13, -4*q - 3*m + 32 = 0. Let l = q - -2. Solve -4*a - 3*k + l = -4, -a = -2*k + 4 for a. 2 Let q be (-66)/(-48)*8 + -5. Solve 3*h + 27 = -3*d - 0*h, -2*d + 4*h = -q for d. -5 Let o(a) = -667*a - 2001. Let n be o(-3). Solve 6*x - 13 = q + 8*x, n = -3*x - 24 for q. 3 Suppose 20*g + 2495 + 1565 = 0. Let q = 205 + g. Solve q*b - s = -5, b - 2*s = 2*b for b. -2 Suppose -46*u + 36 = -14 + 4. Solve 4*d - 11 + u = r, -3*r = d + 4 for r. -2 Let s be 360/25 - 4/10. Let u = -12 + s. Suppose 3*l - 6*l + 2*p + 18 = 0, 0 = -2*p. Solve 2*a + 2*m - 6 = -0*m, l = u*m for a. 0 Suppose 23*o + 1081 = 1150. Solve 0 = -3*d - h + 1, d = -54*h + 51*h + o for d. 0 Let s = -10546 + 10550. Solve -22 = -5*n - 2*z, -18 = s*n - 8*n - 2*z for n. 4 Let r be 9*(3 + (-88)/12). Let a = 21 + r. Let h = a + 23. Solve 0 = 5*m + 5, 0 = l - h*l - 2*m + 14 for l. 4 Let k = 151 - 149. Let c(d) be the third derivative of d**5/60 - d**4/4 + d**3 - 8*d**2. Let b be c(6). Solve -h - 3*y = -7, 2*y - b = k*h - 2*y for h. 1 L
{ "pile_set_name": "DM Mathematics" }
130 - 11*f**5/390 - 5*f**4/13 + 100*f**3/39 + 3*f**2 - 25*f. Factor c(b). 2*(b - 2)**2*(b + 5)**2/13 Let i(p) be the second derivative of 0*p**2 + 0 - 2/75*p**6 + 1/15*p**3 + 0*p**5 + 1/15*p**4 - 6*p - 1/105*p**7. Solve i(y) = 0. -1, 0, 1 Let f = 32806/9499 - 34/1357. Factor -27/7*r - 3/7*r**2 - f. -3*(r + 1)*(r + 8)/7 Let c(s) = 6*s**4 - 19*s**3 + 32*s**2 - 22*s + 5. Let n(x) = -x**4 + 2*x**3 - x**2 - x - 1. Let h(f) = c(f) + 5*n(f). Find g such that h(g) = 0. 0, 3 Let x be 30/50 + ((-8)/10)/2. Let n(b) be the first derivative of 1/10*b**2 + 3/20*b**4 + 1 + 0*b - x*b**3 - 1/25*b**5. Solve n(r) = 0 for r. 0, 1 Let g(b) be the second derivative of b**4/30 + 2*b**3/15 - 3*b**2/5 - 4*b - 11. Solve g(w) = 0. -3, 1 Let r(y) be the second derivative of -y**6/30 + 7*y**5/20 - 5*y**4/6 + 73*y + 3. Factor r(n). -n**2*(n - 5)*(n - 2) Let h(w) = -5*w + 5*w**2 - 5 + 31*w**3 + 0 - 7*w**4 - 35*w**3. Let r(y) = -8*y**4 - 4*y**3 + 6*y**2 - 6*y - 6. Let c(x) = 6*h(x) - 5*r(x). Factor c(o). -2*o**3*(o + 2) Let y(m) be the first derivative of -4*m**3/3 - 10*m**2 + 24*m - 195. Find k such that y(k) = 0. -6, 1 Let h = 1769/2952 + -24/41. Let p(s) be the third derivative of -s**2 + 0*s**3 - 1/720*s**6 - h*s**4 + 0*s + 1/120*s**5 + 0. Let p(t) = 0. What is t? 0, 1, 2 Let y(o) = -11*o**2 + 443*o - 42. Let t(u) = 5*u**2 - 221*u + 18. Let l(i) = -14*t(i) - 6*y(i). Find r such that l(r) = 0. 0, 109 Let m(u) = 2*u + 1. Let i(r) = 5*r + 3. Let y(b) = 4*i(b) - 14*m(b). Let c be y(-1). Factor -1 - 15*z + 11 - 1 - c*z**2. -3*(z + 3)*(2*z - 1) Let m(x) be the first derivative of x**7/140 + x**6/80 - x**5/40 - x**4/16 - 9*x**2 - 6. Let o(a) be the second derivative of m(a). Factor o(b). 3*b*(b - 1)*(b + 1)**2/2 Factor 9*i - 1535*i**4 + 1539*i**4 + 16 - 8*i**3 - 12*i**2 + 7*i. 4*(i - 2)**2*(i + 1)**2 Let o(q) = -11*q**3 + 16*q**2 + 75*q - 186. Let m(f) = -32*f**3 + 47*f**2 + 225*f - 557. Let i(v) = -6*m(v) + 17*o(v). Factor i(d). 5*(d - 3)**2*(d + 4) Factor -5*s + 78*s**2 - 81*s**2 - 22*s. -3*s*(s + 9) Let v(o) be the third derivative of -o**8/2240 + o**7/3150 + o**6/900 + o**5/60 + 5*o**2. Let z(q) be the third derivative of v(q). Let z(u) = 0. Calculate u. -2/9, 2/5 Let r be (1 - 13)*(-87)/522. Factor v - 1/2*v**r + 0. -v*(v - 2)/2 Let c be (16/64)/((-52)/(-16) + -2). Let u(g) be the first derivative of c*g**5 + 1/6*g**6 + 0*g**2 + 0*g**4 - 7 + 0*g**3 + 0*g. Let u(t) = 0. What is t? -1, 0 Let p(z) = z**2 + 7*z + 26. Let b be p(-6). Factor 5*o**2 + 2*o**2 - b*o + 50 - 5*o**2. 2*(o - 5)**2 Factor 3 - 24/7*s**2 - 18/7*s**3 + 18/7*s + 3/7*s**4. 3*(s - 7)*(s - 1)*(s + 1)**2/7 Let r be 289/68 - (2/8 + 0). Let o(h) be the first derivative of -1/8*h**r - 5/4*h**2 - 2/3*h**3 - h + 6. Factor o(c). -(c + 1)**2*(c + 2)/2 Let f(i) be the third derivative of -i**5/60 + 31*i**4/24 - 29*i**3/3 + 368*i**2. Factor f(h). -(h - 29)*(h - 2) Let r(b) = -306*b**2 + 296*b + 10. Let i(s) = 61*s**2 - 59*s - 2. Let m(q) = 22*i(q) + 4*r(q). Find n, given that m(n) = 0. -2/59, 1 Let c(j) be the third derivative of -j**8/504 + 2*j**7/315 + j**6/60 - 2*j**5/45 - j**4/9 - 4*j**2 - 19. Determine m so that c(m) = 0. -1, 0, 2 Let y(j) = -j**3 - 5*j**2 - 3*j + 12. Let a be y(-3). Let i(b) be the third derivative of 0*b + 0 - 1/24*b**5 - 5/3*b**a + 5/12*b**4 + 12*b**2. Factor i(q). -5*(q - 2)**2/2 Let c = 29947/3 - 9981. Determine z so that 4/3*z**2 - c*z**4 + 0 - 2/3*z**3 - 1/3*z**5 + z = 0. -3, -1, 0, 1 Suppose -36/5*a + 3/5*a**2 - 39/5 = 0. What is a? -1, 13 Let q(o) be the third derivative of o**6/300 + 13*o**5/150 + 40*o**2 + 3*o. Factor q(f). 2*f**2*(f + 13)/5 Let h(m) be the second derivative of 27*m**6/10 + 897*m**5/20 + 967*m**4/4 + 745*m**3/2 + 75*m**2 + 122*m. Suppose h(b) = 0. Calculate b. -5, -1, -2/27 Factor -2/3*g**3 - 2/3 + 2/3*g**2 + 2/3*g. -2*(g - 1)**2*(g + 1)/3 Let k(b) = -8*b + 2*b - 2*b + 2*b + 16. Let c be k(2). Let 0 + 2/3*v**c + 0*v - 4/3*v**2 - 2/3*v**3 = 0. Calculate v. -1, 0, 2 Find c such that 1/2*c**2 - 2 + 1/4*c**3 - c = 0. -2, 2 Let i be 1 - (0/1 + 0). Let h(s) = 0*s - s - 2 + 3 + 2*s. Let m(g) = -3*g**2 + 7*g + 10. Let f(d) = i*m(d) - 4*h(d). Factor f(y). -3*(y - 2)*(y + 1) Let z(t) be the first derivative of 9/7*t**2 - 1/7*t**3 - 24/7*t + 35. Factor z(n). -3*(n - 4)*(n - 2)/7 Let d(y) be the second derivative of -y**6/60 + 7*y**5/120 + y**4/8 - 7*y**3/36 - y**2/2 - 72*y. Find g, given that d(g) = 0. -1, -2/3, 1, 3 Let i = -31/630 - -43/90. Factor -3/7*m**2 - 3/7*m**3 + i*m + 3/7. -3*(m - 1)*(m + 1)**2/7 Let g be -5*(2 + -2 + -1). Let y(r) be the first derivative of 2/45*r**g - 5/9*r**2 - 4/9*r - 2/9*r**3 - 1 + 1/18*r**4. Factor y(i). 2*(i - 2)*(i + 1)**3/9 Let v(u) be the first derivative of -u**5/4 + 25*u**4/16 - 5*u**3/2 - 5*u**2/2 + 10*u + 8. Find m such that v(m) = 0. -1, 2 Let u be (15 - 25) + (-1824)/(-180). Factor u*t**2 + 4/5 - 14/15*t. 2*(t - 6)*(t - 1)/15 Let v(q) be the third derivative of -q**8/2520 + 52*q**7/1575 - 193*q**6/225 + 416*q**5/75 - 64*q**4/5 + 40*q**2. Factor v(w). -2*w*(w - 24)**2*(w - 2)**2/15 Let x(h) be the first derivative of -h**5/30 + 7*h**4/12 + 5*h**3/6 + 378. Find o, given that x(o) = 0. -1, 0, 15 Let q(o) = -5*o**2 - 43*o + 61. Let b(s) = s**2 + 11*s - 15. Let t(v) = -26*b(v) - 6*q(v). Suppose t(j) = 0. What is j? 1, 6 Let a(u) be the first derivative of 24 + 15/4*u**3 - 37/8*u**2 + 3/2*u. Factor a(l). (5*l - 3)*(9*l - 2)/4 Let n(u) be the first derivative of 2*u**3/51 - 72*u**2/17 + 2592*u/17 + 28. Determine x so that n(x) = 0. 36 Suppose -1727 = -62*j - 1603. Suppose 8*d + 40 + 2/5*d**j = 0. Calculate d. -10 Suppose -64 = -15*p - 19. Let u(d) be the first derivative of -1/3*d**6 + 8/3*d**3 + 8/5*d**5 + 11 - d**2 + 0*d - p*d**4. Factor u(i). -2*i*(i - 1)**4 Let k(n) be the third derivative of -n**5/30 + 29*n**4/12 + 10*n**3 - 21*n**2. Suppose k(v) = 0. Calculate v. -1, 30 Let u(x) be the second derivative of 0 - 12*x + 6*x**2 + 4*x**3 + 3/4*x**4. Factor u(n). 3*(n + 2)*(3*n + 2) Solve 20/9*v + 0 + 2/3*v**2 - 2/9*v**3 = 0 for v. -2, 0, 5 Let f(v) be the first derivative of v**5/5 + v**4/4 - 2*v**3 - 2*v**2 + 8*v + 65. Determine k, given that f(k) = 0. -2, 1, 2 Let l be 1*-7*(-3)/(-3) - 1173/(-85). Solve 26/5*y + l*y**3 - 4/5 - 48/5*y**2 - 8/5*y**4 = 0 for y. 1/4, 1, 2 Factor -j**5 + 25 - j**3 - 7*j**4 + 3*j**3 - 43*j + 46*j**2 + 12*j + 7*j - 41*j. -(j - 1)**3*(j + 5)**2 Let c be -5 - 4/(40/(-66)). Let t = -329/5 + 66. What is h in -16/5 + c*h - t*h**2 = 0? 4 Let g(d) be the first derivative of 0*d - d**5 + 5/2*d**2 + 5/3*d**3 - 11 - 5/4*d**4. Factor g(b). -5*b*(b - 1)*(b + 1)**2 Let r(f) be the third derivative of f**8/80640 + f**7/2520 + f**6/180 - 17*f**5/30 - 23*f**2. Let i(z) be the third derivative of r(z). Factor i(v). (v + 4)**2/4 Let q(d) be the third derivative of -1/3*d**5 + 5/336*d**8 + 0*d**4 + 9*d**2 + 0 + 3/8*d**6 - 1/7*d**7 + 0*d + 0*d**3. Factor q(c). 5*c**2*(c - 4)*(c - 1)**2 Let o(l) = -14 + 5*l**3 - 7*l - 5*l + 7*l**2 - 4*l**3 + 2*l**2. Let b be o(-10). Find f such that 155 - b*f + 3*f**2 - 155 = 0. 0, 2 Let j(k) = -2*k + 81. Let y be j(39). What is z in 2 + y*z**3 + 13/2*z**2 + 1/2*z**4 + 6*z = 0? -2, -1 Let w(i) = 5*i**2 - 10*i + 6. Let x be w(0). Let j be ((-6)/8)/((-2)/4). Solve x*y + j*y**2 + 9/2 = 0 for y. -3, -1 Let u(m) be the first derivative of m**5/2 - 5*m**4/8 - 5*m**3 + 551. Factor u(y). 5*y**2*(y - 3)*(y + 2)/2 Let i(r) be the first derivative of r**4/2 - 2*r**3/3 - 4*r**2 + 8*r - 154. Factor i(j). 2*(j - 2)*(j - 1)*(j + 2) Let c(r) be the third derivative of -r**7/280 - 3*r**6/32 - 39*r**5/80 - 37*r**4/32 - 3*r**3/2 + 415*r**2. Factor c(o). -3*(o + 1)**3*(o + 12)/4 Let g = 98210/39 - 2518. Let s(m) be the first derivative of 0*m + 12/65*m**5 + 11/26*m**4 - g*m**3 - 3/13*m**6 - 4/13*m**2 - 7. Determine d so that s(d) = 0. -2/3, 0, 1 Let l = 164 + -156. Let q(j) be the third derivative of 0 - 1/20*j**6 + 0*j**4 + 4*j**2 + 1/15*j**5 + 0*j**3 + 1/168*j**l + 0*j + 0*j**7. Factor q(n). 2*n**2*(n - 1)**2*(n + 2) Factor 9*i**2 + 3*i**4 + 58*i**2 + 48*i**3 - 118*i**2. 3*i**2*(i - 1)*(i + 17) Let y(o) be the third derivative of 7/24*o**6 - 35/24*o**4 - 21*o**2 + 0*o + 5/6*o**3 - 1/12*o**5 + 0. Let y(h) = 0. What is h? -1, 1/7, 1 Let i(g) be the second derivative of -g**7/105 - g**6/25 + 17*g**5/50 + 9*g**4/10 - 88*
{ "pile_set_name": "DM Mathematics" }
-0.17 0.034 -3 times -536 1608 What is -14 times -363? 5082 What is the product of -9.9 and -0.13? 1.287 What is 0.4 times -0.1144? -0.04576 Calculate 0.8*-97. -77.6 Calculate -12*89. -1068 1 * -17 -17 Work out 0.15 * 10. 1.5 -0.25 * -0.33 0.0825 What is the product of 0.02 and 0.5? 0.01 Work out 2 * -4.4. -8.8 Product of -10 and 208. -2080 -576 * -0.6 345.6 Calculate 69*-0.05. -3.45 What is 1 times -0.343? -0.343 0.5*-4171 -2085.5 1.32 * -0.3 -0.396 Multiply -19 and -30. 570 -0.0014 * -17 0.0238 Work out 3 * -15. -45 What is the product of 3 and -0.108? -0.324 2.62 times -1.2 -3.144 Calculate 1*-139. -139 0*20 0 0.3 * 208 62.4 What is the product of 1.279 and -0.4? -0.5116 What is -223 times 0.3? -66.9 Calculate 0.1*-63.5. -6.35 -2 times -185 370 Work out 0.5 * -26. -13 What is -5 times 0.008? -0.04 What is 1428 times -3? -4284 Calculate 123*-0.08. -9.84 -1.2832 * -5 6.416 -96.1*4 -384.4 -2 times -36 72 Product of -4 and 2129. -8516 -35*-16 560 2197 * -0.07 -153.79 What is 15116 times 1? 15116 Multiply 0.4 and 0.214. 0.0856 Work out 0.03 * -14. -0.42 Multiply 0.4 and -23.1. -9.24 Product of 21.6 and -0.2. -4.32 What is -8.732 times 1? -8.732 Product of -635 and -0.13. 82.55 1007 * -3 -3021 6 times 1.68 10.08 Product of -0.12 and -0.246. 0.02952 What is the product of -34 and 0.06? -2.04 What is the product of 0.0227 and -0.08? -0.001816 -0.3 times 0.006 -0.0018 Multiply 6 and 0.192. 1.152 Work out 1786 * -4. -7144 What is the product of 0.2 and -459? -91.8 Calculate 0.5*1.453. 0.7265 Multiply -1 and -306. 306 1 * 548 548 Multiply -28 and 24.6. -688.8 Work out -300 * 0. 0 0.2 * -57 -11.4 Product of 0.2854 and -3. -0.8562 What is -6 times -0.5? 3 Calculate -0.3*-0.05402. 0.016206 What is the product of -69 and -11? 759 Product of -0.0344 and -0.4. 0.01376 What is -20 times -7? 140 0.2*0.003 0.0006 What is the product of 16.1 and -0.5? -8.05 What is the product of 0 and -0.131? 0 -0.0527*0 0 Work out 154 * 1.6. 246.4 What is -61 times 224? -13664 Multiply 0.01 and -8. -0.08 What is the product of 5 and -319? -1595 What is the product of -1845 and -3? 5535 What is the product of 0.1 and -0.0383? -0.00383 What is the product of 4588 and -2? -9176 Calculate 7*-19. -133 4 times 0.25 1 Product of 3628 and 0.1. 362.8 Work out -0.58 * 0. 0 Product of 4095 and 5. 20475 Work out -96 * 1. -96 88*-15 -1320 Calculate 4815*-4. -19260 Product of -0.0198 and -0.6. 0.01188 Multiply -559 and 0. 0 -214 times -2 428 Work out 368 * -5. -1840 -1.78 times 5 -8.9 Work out 0.1 * 1613. 161.3 Multiply 0.174 and 0.3. 0.0522 -2829 times 4 -11316 -7 times 0.24 -1.68 512*1 512 0.04*-1520 -60.8 What is 0.1 times 10? 1 -0.9 * -2.07 1.863 -0.3*-0.0137 0.00411 23.3 times 0 0 Calculate -25*849. -21225 -367*0.07 -25.69 -0.152 * 15 -2.28 Work out 74 * -12. -888 Work out 0.022 * -4. -0.088 0.5 times -268 -134 Work out -80 * -29. 2320 -422 * 55 -23210 Calculate -0.4272*-0.1. 0.04272 -10 * -0.033 0.33 Product of 11 and 1.98. 21.78 Work out 16124 * 3. 48372 What is -1166 times -5? 5830 0.48*0 0 What is -0.018 times -5.1? 0.0918 Work out -0.7 * -708. 495.6 2*-0.1311 -0.2622 Work out 0.2 * 6.8. 1.36 -28*0.4 -11.2 Work out 2.1 * -2.65. -5.565 What is the product of 0.1 and -0.0066? -0.00066 -2 * -381 762 92 * -0.07 -6.44 -7 * -163 1141 Calculate 1.27*-4. -5.08 What is the product of -86 and 0.1? -8.6 Work out -3 * -874. 2622 Product of -0.3 and -0.0297. 0.00891 0.15*-1 -0.15 -1*26.8 -26.8 1.31*-1 -1.31 -344 * -3 1032 What is 0.4 times -1103? -441.2 Multiply -0.2 and 0.756. -0.1512 What is the product of 348 and 21? 7308 Multiply -0.3 and -3.043. 0.9129 What is -0.5 times 76? -38 2 times -0.321 -0.642 3*0.057 0.171 Work out 46 * 0.9. 41.4 Work out -3 * -38. 114 What is -0.02 times 342? -6.84 Multiply -0.1 and -37. 3.7 0.85*-0.014 -0.0119 Multiply 171 and 3. 513 Calculate -35*2. -70 What is the product of 1.7 and 97? 164.9 What is 159 times 5? 795 4 * 2.7 10.8 Multiply -0.091 and -0.135. 0.012285 What is the product of -2.637 and 0.03? -0.07911 Multiply 0.0054 and 0.27. 0.001458 What is the product of 34 and 0.06? 2.04 Multiply 9 and 6. 54 Work out 0.3 * -0.188. -0.0564 Multiply 0.047 and -0.01. -0.00047 -0.12 times 0.085 -0.0102 Work out -132 * -9. 1188 What is the product of -517 and -0.1? 51.7 What is -6 times -26.2? 157.2 0.5 * -36.07 -18.035 Work out -38 * 0.5. -19 Calculate -4*-325. 1300 Multiply -3 and -5804. 17412 What is 137 times -0.24? -32.88 -3008*0.5 -1504 -0.4 times 2913 -1165.2 Calculate -341*0.3. -102.3 0.3 times -0.2601 -0.07803 Product of 3 and 0.67. 2.01 -0.09 * 13.9 -1.251 -219 * -0.03 6.57 Calculate -64*16. -1024 20 times -118 -2360 Calculate -37*-1.3. 48.1 -0.3 * 119 -35.7 Work out 0.026 * 29. 0.754 2298 * 0.2 459.6 -0.8 * -0.2367 0.18936 What is 3 times -1034? -3102 What is 0.052 times 63? 3.276 Calculate 22*-6. -132 1 times 112 112 What is 0.5 times 0.029? 0.0145 -0.8*0.295 -0.236 Multiply 0.0545 and -0.2. -0.0109 Calculate 0.125*4. 0.5 Multiply 1.174 and 0.12. 0.14088 -5 times -3.4 17 What is the product of -40 and -0.17? 6.8 Multiply 0.5 and -36. -18 What is the product of -21.9 and -0.1? 2.19 What is the product of -0.5 and -0.47? 0.235 Product of 3126 and 0.01. 31.26 Calculate 0.267*5. 1.335 What is -4 times -0.795? 3.18 What is 0.0184 times -6? -0.1104 What is the product of -1575 and 0.14? -220.5 Work out -0.0897 * 0.4. -0.03588 -4292 times 2 -8584 What is the product of 9 and 1082? 9738 What is 1 times -3.6? -3.6 Multiply 3845 and -2. -7690 Calculate -33*-0.4. 13.2 Calculate -3181*5. -15905 What is the product of -0.5 and -319? 159.5 Work out -43 * -0.3. 12.9 Calculate -19*0.028. -0.532 Calculate 0.4*219. 87.6 What is the product of -1.8 and 43? -77.4 Calculate -0.0251*1. -0.0251 What is -39 times 13? -507 0.2*-23 -4.6 What is the product of 0.35 and 34? 11.9 Work out -50 * -0.1. 5 -0.3 * -1712 513.6 Work out -228 * 0.4. -91.2 -21 * 28 -588 Product of -85 and 56. -4760 Work out 10.4 * -0.8. -8.32 Work out 0.04 * -16.7. -0.668 Work out 0 * 356. 0 Multiply -0.7 and -1.32. 0.924 What is -0.9 times 323? -290.7 Product of -0.08632 and -5. 0.4316 What is the product of 0.2 and -58? -11.6 Product of -0.4 and 150.2. -60.08 -0.08 times -34 2.72 What is 0.1 times -320? -32 Work out -11 * 0.09. -0.99 -853*5 -4265 Product of 0.5 and 1.6. 0.8 Work out 0.1 * -0.266. -0.0266 Product of 0.2 and 716. 143.2 1121 * -1 -1121 Calculate 2*-0.055. -0.11 0.51 times 0.02 0.0102 Calculate 618*-19. -11742 -4 times 13 -52 0.2*44 8.8 What is -0.009 times -1.9? 0.0171 -2 times -4.9 9.8 What is 0.2 times 5.79? 1.158 -0.1036*0.9 -0.09324 Multiply 10 and 9. 90 What is -333 times 30? -9990 Product of 173 and -2. -346 Calculate 0.5*533. 266.5 Work out 0.5 * -8. -4 662 * 0.3 198.6 Work out 0.039 * 1. 0.039 -0.17 * -0.031 0.00527 6 times -0.097 -0.582 What is the product of -3 and 5.8? -17.4 Product of 2.2 and 0.166. 0.3652 Calculate 0.054*-0.04. -0.00216 Multiply -0.5 and 639. -319.5 -0.18 times -0.4 0.072 641*1 641 Multiply 6 and 0.02. 0.12 Product of 0.3 and -97. -29.1 Calculate 0.5*0.021. 0.0105 0.3 * 0.053 0.0159 1.02 * -0.5 -0.51 0.328*24 7.872 Product of 62.9 and -0.2. -12.58 Work out -0.1 * 84. -8.4 566*26 14716 Product of 33.1 and 0.5. 16.55 -0.058 * 0.11 -0.00638 Product of 0 and -109. 0 Work out -45 * 0.05. -2.25 Multiply 9 and 70. 630 0.3*10 3 Multiply 1.5 and -1.7. -2.55 Work out -0.99 * 77. -76.23 What is the product of 11566 and -5? -57830 What is the product of -0.188 and 0.4? -0.0752 Work out 0.0938 * 0. 0 -3.2 times -5.5 17.6 12.76 * 3 38.28 Multiply -27 and -14. 378 78*0.9 70.2 -2*81 -162 Product of 1.99 and 0.1. 0.199 Multiply 2 and 10. 20 Calculate 0.5*-71. -35.5 Multiply 4 and 0.053. 0.212 0.1 times 366 36.6 Work out -9 * -12. 108 What is -87 times -3? 261 Calculate 1.245*3. 3.735 2.6*114 296.4 What is -0.14 times -3.14? 0.4396 What is the product of 50 and 0.003? 0.15 0.7 times -56 -39.2 -17 * -41 697 223 * -8 -1784 -0.2 * -0.57 0.114 Product of -0.0199 and 1.2. -0.02388 -1 times 157 -157 Product of 115 and -5. -575 Work out 10 * 10. 100 Work out -1849 * 0.3. -554.7 What is the product of -4 and 1.13? -4.52 What is -366 times -0.054? 19.764 Calculate -0.5*236. -118 Work out -0.038 * -5. 0.19 Product of -1 and 1.553. -1.553 Calculate 0.1144*-5. -0.572 What is -2.133 tim
{ "pile_set_name": "DM Mathematics" }
8))**(-45) assuming k is positive. k**(-19421/6) Simplify (((y**(18/11)*y)/y)**(-4/17)*y*y*(y**31*y)/y*y**(1/8))**29 assuming y is positive. y**(1420391/1496) Simplify ((m/m**(-17)*m/(m*m/m**(-37)))/((m**(-17)*m)/(m**31/m)))**(2/51) assuming m is positive. m**(52/51) Simplify m*m**(-2/17)*m**(1/11)*(m*m**(-6)/m)/m*m*m*((m/m**(2/5))/m)/m*(m/(m**(1/2)/m))**(-10)*(m**(-5)/m)/(m**(-5/3)*m*m*m) assuming m is positive. m**(-77867/2805) Simplify ((t/(t/(t*t**3)))/(t/t**(2/19))*(t*t*t**16*t*t)/(t/t**(-8)))**12 assuming t is positive. t**(3216/19) Simplify ((j*j*j/((j*(j*j/(j/(j**24/j*j)))/j)/j))**10/(j/(j/j**(1/15)*j)*j)**(-10))**(-27) assuming j is positive. j**5652 Simplify ((((s*(s/s**27)/s)/s*s)/s**(-1/4))/(s**(-6/5)*s*s**(-2/27)*s))**(3/23) assuming s is positive. s**(-14297/4140) Simplify ((z*(z/(z/(z*z**1*z)))/z*z)**31)**41*((z*(z*z**(1/4)/z*z*z*z*z)/z*z)**(-12))**0 assuming z is positive. z**5084 Simplify (t**(2/5)*t**(-2))**41*(t/(t**(-1)*t)*t*t**(-2)*t)**(-35) assuming t is positive. t**(-503/5) Simplify (l**(-13)*l**14*l*(l/(l**(-3)*l*l))/(l**(-2/19)*l*l))**8 assuming l is positive. l**(320/19) Simplify ((w/(w/(w*w**15/w)*w))/w*w*w/w**(-7)*w**12/w**(-1/8))**(-18/7) assuming w is positive. w**(-351/4) Simplify (((b**(-2/95)/b)/((b/(b*b**(1/71)/b))/b))**(-47))**(-1/4) assuming b is positive. b**(-79806/6745) Simplify ((j**(-1/2)*j*j/(j/j**(4/3)))/((j*(j/(j*j*j**(-20)))/j)/j**(-3/11)))**(6/13) assuming j is positive. j**(-1151/143) Simplify (s**(1/2)/(s/(s**3*s))*(s*s/(s*s/(s**(-2/3)/s)*s))**(-2/3))/((s**(2/9))**33/((s/s**(2/23))/s**(2/5))) assuming s is positive. s**(-3193/2070) Simplify (((p**(1/2)/p)**3/(p**(2/5))**8)**34)**(-22/3) assuming p is positive. p**(17578/15) Simplify ((d*d**3)/(d*d/d**1*d))/(d*(d*d*d**(-1))/d)**(12/11)*(d**(-2)/(d**(-2/5)/d))/(((d/((d/d**(-4/9))/d))/d*d)/((d*d**0)/d*d)) assuming d is positive. d**(373/495) Simplify ((i**0)**(3/8)/((i*i*(i/i**(-5))/i*i*i*i)/((i*i**6*i)/i)))/(i*i/i**(2/7)*i*i/i**(-2/3))**(1/8) assuming i is positive. i**(-149/42) Simplify ((b**(-13/5)*b)/b)**7/(b**(1/5)/(b**(-15/7)*b)) assuming b is positive. b**(-684/35) Simplify (p**(-2/21)*p**(1/15)*(p**(-6)*p)/p**(-1))**23 assuming p is positive. p**(-3243/35) Simplify ((t/(t*t**4))**(-1))**(-2/51)*(t*t*((((t**(-1/4)/t*t)/t)/t)/t)/t*t)**31/((((t*t**(-4/3)*t*t*t)/t)/t)/t*t**(4/7)) assuming t is positive. t**(-18633/476) Simplify ((g**(2/15))**(-11)*(g**(4/9)*g)**(-17))**47 assuming g is positive. g**(-55037/45) Simplify ((v/(v*(v/v**(2/17))/v*v))/(v*v*v*(v**(1/6)*v)/v))**(1/9)/(((v/v**(-2/5))/v*v*v/((v/(v*v*v*v**(-2/9)*v))/v))/(v**(2/9)/v**1)) assuming v is positive. v**(-33991/4590) Simplify ((i/(((i/(i*i**(3/10)*i))/i)/i*i))/i**(-2))**(-22)*(i*i**7*i/(i/((((i*(i**(1/15)/i*i)/i*i*i)/i*i)/i)/i)))**(-1/5) assuming i is positive. i**(-8866/75) Simplify ((((h/(h/(h/((h*h/(h/(((h**6*h)/h)/h)))/h)*h))*h)**(-8/3))**(-6/13))**(2/137))**(2/25) assuming h is positive. h**(-128/44525) Simplify (((a*a*a*a/(a*a/(a**(-2/7)*a)))**(3/7)/(a**(-1/3)/((a/(a*a**(1/3)))/a)))**18)**(-30) assuming a is positive. a**(-4320/49) Simplify ((s*s/(s/s**(-1)))**(8/11))**22*(s**5/s**(1/7))/(s**(-1/3)*s**(-5)) assuming s is positive. s**(214/21) Simplify (j*j**(1/5)*j**(1/7)*j/(j/(j/j**(-1)))*(j*j/((j/j**(2/7))/j))/j)/((j**(1/7)*j*j)/j**4*j/(j*j/j**(-4)*j)*j/(j*j**2)) assuming j is positive. j**(507/35) Simplify ((w**(-2/17)/w)/(w**3/w)*w**(3/5)/((w*w/w**(12/5))/w))**(3/19) assuming w is positive. w**(-3/17) Simplify ((a**1)**(2/97)/((a/(a*a**(7/3)))/(a/(a**(-20)/a)*a*a)))**11 assuming a is positive. a**(84359/291) Simplify (((o/(o/(o*o/(o**2/o))))/o*o*o/((o/(o/(o*o**13*o)))/o)*o)/(o**7*(o*o/(o**(-8/7)/o)*o)/o))**24 assuming o is positive. o**(-3720/7) Simplify ((x/((x/((x*x**(-1))/x))/x))/x*x*x*x**(2/5)*x*x)**(-7)*(x**(-1/3)*x/(x**(-2/13)/x))**45 assuming x is positive. x**(3778/65) Simplify (w/(w/(w/w**(1/6))))/(w*w*w/(w*w/(w/w**(6/11))*w))*((w**0/w)/w)/(w**(-6)*w)*(w*w**(-2/15)*w**1)/(w**1*w)**(3/25) assuming w is positive. w**(2753/550) Simplify ((x*x/x**(-19)*x)/(x*x**(3/7)/x)*(x*x*x**7*x*x*x)/((x**(1/15)/x)/x))**2 assuming x is positive. x**(7456/105) Simplify ((w/w**(-2/5)*w*w*((((((w*w*w/(w*(w*w**(3/10))/w))/w)/w)/w)/w)/w)/w*w)/((w**(2/19)*w)/(w*w*w/(w**(-9)/w)*w)))**18 assuming w is positive. w**(22221/95) Simplify ((n*n/n**(-4)*n*n**(-1/3)*n**(-7)*n**7)**(2/27))**(-2/61) assuming n is positive. n**(-80/4941) Simplify ((s**10)**11/(s/s**(-2/45)*s/(s*(s/(s*s**14)*s)/s)*s))**(-5) assuming s is positive. s**(-4228/9) Simplify ((h*h**(1/7))/(h/h**(-1/3))*h/(h*(h/h**5)/h*h)*h**(2/23))/(((h*h**(1/4))/h)**(7/12))**(1/23) assuming h is positive. h**(10021/2576) Simplify (((d/d**(-2/3))/(d**(1/4)*d)*(d**(-1))**(-12))**4)**48 assuming d is positive. d**2384 Simplify (o**(-2)/o)**2/(o**4/o**(-2/9))*o/((o*o**(8/3))/o)*((o**2*o)/o)/o*o**(5/4)/o*o*o**(-3) assuming o is positive. o**(-455/36) Simplify ((g/(g*((g*g*g/(g/(g*g**(-3/4))*g))/g)/g*g))**(-41/5)/((g**11/g*g)/g)**(10/7))**(-1/12) assuming g is positive. g**(571/560) Simplify ((((w**(1/7)/w)/w*w*w**(-1/12))**(-22))**(-34))**27 assuming w is positive. w**(-132957/7) Simplify (((k*k**(-2/27)/k)/k**(-1/8))/(k**(-18)/k*k/(k**(-8/7)/k*k)))**23 assuming k is positive. k**(587995/1512) Simplify (n*n**(1/40)/n)**(6/13)*n**(-26)/n*n*(n**(-6)/n)/n assuming n is positive. n**(-8837/260) Simplify (((f**(-1))**(-1/29)*(f*f**(1/2))**6)**(4/9))**21 assuming f is positive. f**(7336/87) Simplify ((o**(2/3))**(-10))**(-39)/((o**(1/3)/o)**0)**(-20) assuming o is positive. o**260 Simplify ((f*f*f**0)**25)**(-20)*(f**2/(f*f*f**6))**(12/13) assuming f is positive. f**(-13072/13) Simplify (q**(-2/9)*q**7)/(q/(q*q/(q/q**(-1/2))))**5*(q**(-1)*q)**(2/7)*q**1*q*q*q**7 assuming q is positive. q**(257/18) Simplify (c/(c/c**(-2/3)))**(-47)*(c**(1/4))**(-15/2)*((c**1*c)**(2/69))**12 assuming c is positive. c**(16645/552) Simplify (((d*d*d**(-10))/d)/d**(1/6))**(-21)*d*d*d/(d*d**(-3))*d*d*d*d*d*d*d**4*(d*d/(d**4/d))/(d/d**(-4/3)) assuming d is positive. d**(1225/6) Simplify ((s*s*((s*s**1)/s)/s)/s**2*((s*s/s**(-6)*s)/s)/s**(-3/8))/((s*s*s**3)/(s/(s/s**(-6))))**(3/5) assuming s is positive. s**(71/40) Simplify (s**0/s*(s/(s**(-2/13)/s)*s)/s*(s/(s/(((s**(5/2)/s)/s)/s)))/s**6)**(-3/14) assuming s is positive. s**(417/364) Simplify (((c**(1/3)*c)/c)**(-46)/((c*c*c*c**(-1/12)*c*c)/((c*c*c/(c/(c/(c*c**(-5/4)*c))))/c)))**(-4/17) assuming c is positive. c**(76/17) Simplify ((s**(-1))**41*(s/s**(-1))/s**(-2))/(((s*s**(-1/9)*s)/s**1)/(s**(-2))**(-38)) assuming s is positive. s**(343/9) Simplify ((i**1)**(-3/13)/(i*i**3/i*i/(i/i**4)))/((i/((i*((i**2/i)/i)/i)/i)*i/i**(2/5))/(i**(3/2)/((((i**5*i)/i)/i)/i))) assuming i is positive. i**(-1473/130) Simplify k**(-1/3)/(k/k**(1/3))*(k/(k*k/(k**(-5)*k)))/k**3*((k**(-2/5))**(-19))**(9/8) assuming k is positive. k**(-9/20) Simplify (d**17/d**(-3/17)*(d/((d*d/d**25)/d*d))/(d/(d/(d**(-2/83)*d))))**(-2/37) assuming d is positive. d**(-113446/52207) Simplify z/(((z**(-24)*z)/z*z)/z*z)*z/(z*z**(-2/29))*z*z/(z/(z**(-2/3)/z))*z*(z/((z*z**(-10/11))/z))/z assuming z is positive. z**(24223/957) Simplify (h/h**(-1)*h/(h**(-1/4)*h))**48/((h/((h/(h*h/h**5))/h))/(h*h**(-6/5)/h)*((h/h**5)/h)/(h/h**(3/4))) assuming h is positive. h**(2281/20) Simplify (((((r*(r**(-10)*r)/r*r)/r*r)/r*r)/r)**(-11)/(r**(-2/5))**(-4/9))**(10/21) assuming r is positive. r**(8894/189) Simplify ((q**(-3)*q*q**(3/8))/(q**0/q**2))/((q**(-2))**28)**41 assuming q is positive. q**(18371/8) Simplify ((v**(-1/4)/v)/v**1)/(v/(v**0/v)*v/v**(-6)*v)*(v**8/(v**6/v))/(v**(-1)*v)**23 assuming v is positive. v**(-37/4) Simplify ((g/g**(-1/11))/((g*g**(2/5)/g*g)/g))/(g**9/g**43) assuming g is positive. g**(1908/55) Simplify (((r/r**7)/r*r*r/(r*r**(-5/3))*(r/r**(-7))/r**(-3))**45)**(-8/15) assuming r is positive. r**(-160) Simplify ((m**(-3)*m)/m**(-5)*m**(-7)/((m*m*m**(-8)*m)/m))/(((m*m*m**(-2)*m*m)/(m**7*m))/(m**9/(m**2*m))) assuming m is positive. m**14 Simplify (f**(-4)/(f**4*f))**(7/2)*(f*(f/f**1)/f*f*f)**(-13)*(f**(1/4))**(-6) assuming f is positive. f**(-59) Simplify y/y**(-5)*y**(-6)*y**5*y**(-2/7)*(y/(y*y/(y**0*y)))**(-3)/((y/(y*(y*y/y**(2/9))/y*y))/y**(-1/3)) assuming y is positive. y**(388/63) Simplify ((p*(p/p**(1/4)*p)/p*p)**(-2/69)/(p**(2/3)*p**(-1)))/(((p/(p*p**(
{ "pile_set_name": "DM Mathematics" }
d**2 - 3*d**2. Is z(q) a multiple of 19? True Is 65 a factor of -4*105/120*-260? True Let c be -2*5/12*18/(-3). Suppose 2*g - i + 1 = -2*i, c*i + 25 = 0. Does 2 divide g? True Suppose 5*s = 20, -2*s + 384 = 4*a - 0*s. Suppose -382 = -4*w - a. Does 18 divide (11/(33/w))/(1/8)? False Let p = -185 + -452. Let j = 1285 + p. Does 27 divide j? True Let j(h) = 9*h**2 + 10*h + 1. Let r be j(-1). Suppose r = -22*m - m + 2070. Does 10 divide m? True Does 16 divide (-18806 - -5)/(60 + -63)? False Let o(p) = -p**3 + 37*p**2 + 44*p + 2145. Does 33 divide o(33)? True Let u be (-1508)/8 - 12/(-8). Let y = u + 127. Is 12 a factor of 82 + (3/5)/(12/y)? False Is (-2)/49 - 8788978/(-1078) a multiple of 10? False Suppose 0 = 16*f - 11*f + 5*y - 58425, 2*y = -2. Is f a multiple of 72? False Suppose -6*c + 8*c - 58899 = 3*s, 3*s = -5*c + 147216. Is c a multiple of 107? False Let a = -34589 + 65278. Does 56 divide a? False Let x(o) = o**2 - 1. Let v be x(2). Suppose -2*d + 229 = 2*p + v*p, 3*d = -3*p + 357. Let g = d + -58. Is 16 a factor of g? True Let k = -24215 - -25927. Is 8 a factor of k? True Let g(p) = -5*p - 3. Let t = -8 + 12. Let r be t/18 - (-498)/(-54). Is g(r) a multiple of 5? False Suppose -60*m - 15*m = 74*m - 698959. Is m a multiple of 36? False Let o(g) = g**2 + 8*g + 4. Let x be o(-5). Let h = -2395 - -2439. Is 17/(-4)*h/x a multiple of 9? False Suppose -47*g + 80*g + 74*g - 109782 = 0. Is g a multiple of 10? False Let x(g) = -432*g**3 - 25*g**2 + g + 14. Does 11 divide x(-4)? True Suppose -191 = -2*y - 2*o + 791, y = -5*o + 495. Is 14 a factor of y? True Let c = 16 - 24. Let f(o) = -o**2 - 10*o + 7. Let j be f(c). Suppose -132 = -5*n + j. Is 10 a factor of n? False Suppose -15 = 47*v - 42*v. Let i be 298 + v + -4 + 3. Suppose 2*u - 3*u = -2*z + i, 443 = 3*z - 2*u. Is z a multiple of 16? False Suppose -4*z = -6*s + 2*s - 6720, 3*z - 5024 = -5*s. Does 128 divide z? False Suppose 0 = 5*o - 9*o + 3*o + 7992. Is o a multiple of 54? True Let c(s) = 2*s**2 + s - 4. Let i be c(-2). Suppose -700 = -i*h - 52. Is 22 a factor of h? False Let m = 628 - 1453. Let y = m - -1185. Is 45 a factor of y? True Let h(z) = 17*z + 41. Let g be ((-195)/20)/((-2)/48). Let s be 2/9 + 1352/g. Does 13 divide h(s)? True Let b(a) be the third derivative of -4*a**4 - 4*a**3/3 + 3*a**2. Let u be b(-5). Suppose -5*q - u = -13*q. Does 19 divide q? False Let r(k) = -7*k - 39. Let j be r(-6). Suppose n + j*a - 429 = -2*n, 604 = 4*n - 4*a. Is 8 a factor of n? False Let k = -299 - -331. Suppose 9504 = -10*y + k*y. Is y a multiple of 54? True Let j be (-523 - -9)*(-3)/(-6). Let x = 351 - j. Is 27 a factor of x? False Suppose 27740 = 173*m + 74460 - 255704. Is m a multiple of 9? False Suppose 4*p - 4*t = 8296, -48*p = -51*p + 5*t + 6232. Is p a multiple of 79? False Suppose 3*x - 8*u + 12*u = 518, -u + 171 = x. Let w = -26 - 80. Let o = w + x. Does 30 divide o? True Suppose 40*x - 10*x = x + 20967. Is 6 a factor of x? False Suppose 5*r = -3*o + 5647, -6*r + 1103 = -5*r + 5*o. Does 11 divide r? True Suppose -3*c = 8*q - 7*q + 4, 3*c = -3*q + 6. Is 19 a factor of (-3 + q)*486/4? False Let y(g) be the third derivative of g**4/12 - 4*g**3/3 - 27*g**2. Let d(h) = -1. Let t(x) = -2*d(x) - y(x). Is 3 a factor of t(3)? False Let r(u) = -u + 25. Let z be r(23). Suppose -242 = -2*b - z*g + g, 0 = 3*b + 4*g - 358. Suppose -281 = -3*d - 5*m, 2*d + b = 3*d - 4*m. Does 20 divide d? False Let z be 6/(-9)*-6*(-3 + 9). Suppose z*t - 28*t = -60. Let y = t + 13. Is 7 a factor of y? True Let w(j) = -4*j**3 - 29*j**2 + 4*j - 76. Is 15 a factor of w(-14)? True Let p(g) = -2*g + 23. Let q be (6/(-8))/(15/(-140)). Let o be p(q). Suppose 8*v + 66 = o*v. Does 16 divide v? False Let a be (-1)/(-1)*(-268)/(-4). Let l = 63 - a. Is 2 - (-8)/(-1*l/68) a multiple of 23? True Let g = 27233 + 4843. Is g a multiple of 44? True Suppose f = 5*n + 7965, 4*n + 19821 = 4*f - 12135. Is f a multiple of 15? True Let s = 389 + -384. Suppose s*q - 727 = -4*r, 3*r - 5*r + 4*q + 396 = 0. Is 4 a factor of r? True Suppose -15*r + 3 = -14*r. Suppose -3*i = r*w + 50 - 659, 1043 = 5*i - 2*w. Is 9 a factor of i? True Suppose -2 = 2*w + 4*z, 0 = -2*w + 3*w + 3*z + 6. Suppose 0 = 4*t - 4, 12*n + 2*t = w*n + 227. Is n even? False Let i = 157 + -229. Let z = i + 75. Suppose -q + 3*c = -270, 2*q = z*q + c - 262. Does 24 divide q? True Let w = 35 - 33. Suppose -w*u + 4*u = 3*o + 75, 3 = o. Let z = u + 7. Is z a multiple of 7? True Let a = -16801 + 23301. Does 52 divide a? True Let x(d) = 6*d - 50. Let u be x(7). Let v(k) = k**3 + 5*k**2 - 28*k - 16. Is v(u) a multiple of 8? True Let a(f) = -14*f + 6. Let y be a(-3). Suppose o - w - 99 = 0, -w - w - 293 = -3*o. Let i = o - y. Does 7 divide i? False Suppose -4*n + 12 = -5*a + a, 0 = n - 5*a + 1. Suppose 0 = -2*x + 2*s + 322, -n*x = 5*s - 10*s - 647. Is x a multiple of 11? False Let p be ((-2 - -13) + -2)*1. Let b(q) = -6*q - p + 15 + 2*q + 3*q**2. Does 18 divide b(6)? True Suppose -3*h = 5*p + 140, -p + 8 = 5*h + 36. Let n be 6/(-8) + (-105)/p. Suppose -15 = n*x, u - 5*u = -3*x - 51. Is u a multiple of 3? True Let u(j) = -3*j**3 - j**2 + 7*j + 2. Suppose -5*g = 10 - 10. Suppose g = -p + 7*p + 24. Does 28 divide u(p)? False Suppose -199134 = -84*z + 36*z - 26*z. Does 39 divide z? True Suppose 24*v - 10*v = -126. Is (279 - (12 + -6))/(v/(-12)) a multiple of 8? False Let w(z) = 17*z**2 + 23*z - 138. Does 44 divide w(10)? False Let o(k) = 277*k + 33. Let z(i) = 69*i + 8. Suppose -99*l - 4 = -97*l. Let m(s) = l*o(s) + 9*z(s). Is m(1) a multiple of 16? False Let z be 27/(-15) + (-4)/20. Let p be ((-4)/(-2) + (-1 - 0))*-12. Is p/z*-4*603/(-54) a multiple of 51? False Suppose -2*x = 5*z - 31, -2*x = -0*x - 3*z + 9. Suppose 2*r + 2*y - 830 = 0, -x*r - y = -7*r + 1650. Is 38 a factor of r? False Let u = 168 + -163. Does 8 divide (u - 4249/(-10)) + 1/10? False Let h(v) = -8*v**3 - 2*v**2 + 10*v - 5. Let d be h(-5). Suppose -5*k - 9*w + 6*w = -1493, 3*k + 2*w - d = 0. Does 43 divide k? True Suppose f + 2*u = 66, 0*u + 324 = 4*f - 4*u. Let j = 44 - f. Let s = -25 - j. Is s a multiple of 4? False Suppose 5*s + 24 = f, f - 5 = -4*s - 17. Let t be -9*(4 - (296/36 + s)). Is 33 a factor of ((-1212)/24)/(t/(-4))? False Let z(l) be the second derivative of l**5/20 + 3*l**4/4 + 7*l**3/6 - 9*l**2/2 - 3*l + 18. Does 15 divide z(-7)? False Let r be 1148 + 18 - (-8 - 0). Suppose 4*d = 4*q + q + r, 2*d + 2*q - 596 = 0. Is d a multiple of 51? False Let d = -264 + 115. Let k = 219 + d. Is k a multiple of 10? True Suppose -3*h = n - 467, 70*n - 66*n = 2*h - 330. Suppose 3*p - 6*p + 39 = 0. Suppose -p + h = 9*k. Is 3 a factor of k? False Let b = 1265 - -2083. Is 9 a factor of b? True Let d = -3970 - -4790. Does 10 divide d? True Suppose 50*i = 4610 - 1160. Suppose 0 = -f + 2*v + i, -5*f + 150 = -v - 150. Is 2 a factor of f? False Let w be 10/2*1/(-10)*8. Let t(a) = 5*a**2 + 14*a + 48. Is 72 a factor of t(w)? True Suppose 5*r = -3*y + 17214, 4*r - 5*y - 14549 + 800 = 0. Is 111 a factor of r? True Let i = 25984 + -23990. Does 2 divide i? True Let z = -461 - -287. Let a = 4 - z. Suppose -k + 4*c - 8*c + a = 0, 5*k - 3*c - 936 = 0. Does 19 divide k? False Let h(i) = 742*i**2 + 7213*i + 1. Is h(-11) a multiple of 45? True Let s be (-29965)/(-130)*(-2 - 0). Let d = -97 - s. Does 14 divide d? True Suppose -90 = 4*u - 62, 5*h + 4*u = 170142. Does 187 divide h? True Suppose -3*t = 0, -n + 19*t - 18*t = -8493. Does 15 divide n? False Let n(j) = 7*j + 40. Let t be n(13). Suppose -b - 682 = 5*s, t = -s - 3*b + 3. Let r = 240 + s. Does 49 divide r? False Let i(a) be the second derivative of -a**3/6 + 40*a**2 - 16*a. Let x(u) = -u. Let w(d) = i(d) - 4*x(d). Is 20 a factor of w(0)? True Let b(t) = 57*t**3 + t**2 - 5. Let f(i) = -2*i**2 - 3*i + 2. Let o be f(0). Let g be b(o). Suppose -2*a + 186 = -3*l, -5*a + 7*l + g = 2*l. Is 11 a factor of a? False Let z be (-2 + -1 - -16)*2. Suppose s - 5*u - 54 = z, 2*s - 2*u - 192 = 0. Suppose -485 = -4*o - 5*k, -3*o + 2*k + s = -281. Is o a multiple of 25? True Suppose -d - 30*q = -25*q, 0 = -5*d - 5*q. Suppose -2*g + 0 + 410 = d. Is 41 a factor of g? True Let n = 117 + -264. Let s be n/(-28) + 1/(-4). Suppose -4*h = s*h - 684. Is 8 a factor of h? False Let o(c) = c**2 + 6*c + 14. Let d be o(-9).
{ "pile_set_name": "DM Mathematics" }
9. Let b(d) = 2*d**3 - 3*d**2 + 1. Let p be b(2). Is 16 a factor of x(p)? True Let v be ((-2)/4)/(2/(-16)). Suppose 5*l - v*g = 100, -82 = -4*l + 2*g + 4. Is l a multiple of 12? True Let w(c) = 6 + c + 8*c - 16*c**2 + 15*c**2. Is 2 a factor of w(9)? True Let l = 13 - 0. Is l a multiple of 11? False Let u be 10/25 + 53/5. Let t(p) = p**2 - 9*p + 8. Is 16 a factor of t(u)? False Let i be 19/3 + (-2)/6. Suppose 3*k + i = 12. Suppose -4*r + 36 = 2*w, -22 = -3*r + r - k*w. Is 3 a factor of r? False Suppose 0 = 3*p - w + 8, 4*p - 4*w = 7*p - 2. Let b = p - -7. Is 2 a factor of b? False Let c(v) = -21*v**2. Let q be c(1). Let y = 27 - q. Is y a multiple of 16? True Let w(b) = -b + 87. Is w(0) a multiple of 20? False Suppose 2*s = s + 2. Suppose -s*f + 0*f = -2*d - 50, -4*f = 4. Does 3 divide (-4)/6 - d/3? False Let t(j) = -80*j + 18. Does 19 divide t(-5)? True Suppose -2*f - 14 = 98. Let u = f - -100. Suppose -4*x - 18 - u = -3*w, -3*x = 5*w - 84. Is 18 a factor of w? True Suppose -3*z = -4*r - 174, 0*r - 4*r + 258 = 5*z. Suppose -z = -4*m + 2*y - 4*y, 2*m + 4*y - 18 = 0. Is 7 a factor of m? False Let r(z) = -5*z - 16. Is 22 a factor of r(-14)? False Let g(p) = 5*p - 4. Let n be g(6). Suppose 3*b - 16 = n. Is b a multiple of 11? False Let j(d) = -4*d**2 - d**2 + 7*d - 4 + 4*d**2. Is 2 a factor of j(6)? True Let y(z) = -z**3 - 2*z**2 - 2*z - 4. Is y(-3) a multiple of 2? False Does 6 divide (-261)/(-12) - 2/(-8)? False Suppose 0*h = -5*h + 225. Does 15 divide h? True Let l(b) = 41*b - 28. Is 11 a factor of l(5)? False Is 2 - -1 - (-2 + 3)*-15 a multiple of 4? False Let v(n) = -16*n - 7. Let i(g) = -4*g**2 - 2*g + 1. Let m be i(1). Let j be v(m). Does 15 divide (-8)/(-20) + j/5? True Let x(m) = -m**3 - 16*m**2 + 6*m - 8. Let l(q) = q**2 + q. Let a(t) = -6*l(t) - x(t). Is a(-11) a multiple of 19? True Let h(l) be the first derivative of 14*l + 3 - 1/2*l**2. Is h(6) a multiple of 5? False Let p = -16 + 39. Is 5 a factor of p? False Let w(b) = b**3 - 9*b**2 + b + 11. Let d be 18/(-12) - 18/(-4). Suppose 0*c = -5*a + c + 45, -d*a = 5*c - 27. Is w(a) a multiple of 11? False Let i(f) = 3*f - 3. Let k be i(3). Is ((-4)/k)/(16/(-168)) even? False Suppose -m + 3*m - 12 = -3*v, 5*m - 23 = -4*v. Suppose 19 = m*g + 85. Let u = g + 46. Does 11 divide u? False Suppose 5*m - 5*g = -0*m - 5, -5*m + g - 1 = 0. Suppose m = y - 6*y + 10. Suppose -y*f + 58 = 14. Is 11 a factor of f? True Let f be (4/2)/((-2)/9). Let n = f - -24. Is n a multiple of 15? True Let q = -67 - -142. Is 25 a factor of q? True Is 10 a factor of 7/((-14)/20)*-2? True Suppose -s - 4*p + 135 = -0*s, 2*p + 123 = s. Suppose 5*n = 27 - s. Let y = 31 + n. Is 11 a factor of y? True Let i = -65 + 105. Is 20 a factor of i? True Suppose -2*v + 0*v = -8. Suppose 0 = -v*a + a - 51. Let m = a + 31. Does 7 divide m? True Let v(j) be the first derivative of -3*j - 1/2*j**2 + 5/3*j**3 + 2. Does 13 divide v(3)? True Let z = -148 + 212. Is 30 a factor of z? False Let n = -92 + 158. Is n a multiple of 22? True Does 16 divide (30/(-4))/(5/(-30))? False Let t(r) = 2 + r**3 - r**2 + 2*r - r**2 - 1. Let k be t(2). Suppose 4*x - 260 = k*w, 4*x + 2*w - 356 + 68 = 0. Does 26 divide x? False Suppose -5*u = 5*o - 175, 5*u + 3 = 2*u. Does 6 divide o? True Suppose 0 = 5*l + 2 + 18. Let x(o) be the second derivative of -5*o**3/6 - 2*o**2 - 5*o. Is 10 a factor of x(l)? False Let j(l) = -l**3 + 9. Let v be (10/(-4))/(2/(-4)). Suppose -r = 4*y + 16, 0 = 3*r - 4*r + v*y + 20. Is 9 a factor of j(r)? True Let s(o) = 2*o - 1 - 3*o - 4. Let m be s(-7). Let i = 0 + m. Does 2 divide i? True Suppose -3*k = -v + 26, -3*v + 138 - 53 = -2*k. Is v a multiple of 29? True Let b = 8 + -14. Let v be (-1)/(3/b) - 0. Suppose 0 = 2*y, 3*k - 39 = y + v*y. Is k a multiple of 13? True Let f(k) = 127*k**2 - 3*k + 2. Does 13 divide f(1)? False Let h = 12 - 2. Let w = -5 + h. Suppose -91 = -4*f + w. Does 9 divide f? False Let w(m) = 6*m**3 + m**2 - 2*m + 2. Is 16 a factor of w(2)? False Let m(a) = -8*a - 20*a**2 + 5 + 21*a**2 - 2*a. Is 4 a factor of m(11)? True Let z(i) = 10*i - 4. Let j be z(-3). Let p = 77 + j. Suppose -2*m + 6 = -a - p, -4*m + 93 = -3*a. Is m a multiple of 14? False Let b(c) be the first derivative of -11*c**4 - c**3/3 - c**2/2 - 1. Suppose -4*y + 2 - 5 = 3*w, 5*w + y + 5 = 0. Does 21 divide b(w)? False Let d(n) be the third derivative of -n**5/60 + n**4/24 + 29*n**3/2 - 2*n**2. Let g be d(0). Is g/21 + (-2)/14 a multiple of 2? True Let f(s) = 5*s. Let x be f(1). Suppose 4*v + x*d - 110 = 0, -4*v + 2*d = -d - 94. Let c = v + -11. Is c a multiple of 7? True Is 58 a factor of -4*3/3 + 396? False Suppose -4*d + 0*d + 8 = 0. Suppose 0*p + 3*p + 2 = -o, -d*p - 49 = -3*o. Is 4 a factor of o? False Let p(c) = c. Let o be p(4). Suppose -3*t + o*s = 14, -4*s + 5 + 17 = t. Suppose 3*z + t*k = 4*k + 49, -k - 5 = 0. Is z a multiple of 13? True Let a(g) = g**2 + 9*g + 8. Let x be a(-8). Suppose x = 3*n - 21 - 24. Is 6 a factor of n? False Suppose 18 = -2*h - h. Let k be ((-4)/3)/(h/90). Suppose -k = -4*m + 2*m. Does 10 divide m? True Suppose 2*n + 5*k - 17 = 0, -16 = 2*n - 5*k + 17. Let v be (-74)/(-10) + n/10. Suppose -t + 13 = -v. Is t a multiple of 8? False Suppose -6 = -3*l - 2*l - 2*b, -15 = 3*l - 5*b. Suppose -4*t + l*t + o + 139 = 0, -t = o - 41. Is t a multiple of 12? True Let z(d) = 5*d**2 - 1. Let n be z(-5). Let f = -80 + n. Suppose -3*r + f = -61. Does 14 divide r? False Let d(p) = p**2 - 9*p - 81. Does 8 divide d(16)? False Let a(s) = 2*s**2 + 13*s - 3. Let q be a(-7). Suppose 3*f + q - 34 = 0. Does 8 divide f? False Suppose 0 = -4*s + 2*c + 292, -6*s + 206 = -3*s + 5*c. Is s a multiple of 12? True Let i = 93 - -12. Is 7 a factor of i? True Let a = 28 + 0. Does 11 divide a? False Let c(v) be the second derivative of v**3/2 - v**2/2 + 2*v. Does 7 divide c(5)? True Let h(y) = -y + 11. Let z be (-3)/12 - (-9)/4. Suppose 2*p + 34 = -3*k - k, z*p = -5*k - 43. Is h(k) a multiple of 10? True Let w be (-1 + (-2)/4)*-40. Is 8/(-12) + w/9 a multiple of 3? True Let a(r) = r + 2. Let f be a(0). Suppose -5*p + f*x = -14, -18 = -5*p - 2*x + 6*x. Suppose 0 = -0*l - p*l + 62. Does 12 divide l? False Suppose 5*g = g - 5*s + 20, 0 = g - s - 14. Let p be (g/(-6))/((-5)/105). Suppose -5*u - 4*w + 75 = w, 0 = -2*u - 3*w + p. Is u a multiple of 5? True Let l(m) = -5*m**3 - m**2 + 11*m - 7. Let q(h) = 4*h**3 - 10*h + 6. Let c(o) = 3*l(o) + 4*q(o). Is c(5) a multiple of 9? True Does 40 divide ((-69)/6)/((-2)/72)? False Does 8 divide 4/6 + 154/21? True Let b(v) = v**3 - 3*v**2 - 5*v - 2. Let a be b(4). Let n = a + 4. Does 13 divide 24 + -4*n/4? True Let v = -13 + 19. Suppose v = -3*l + 21. Is l a multiple of 2? False Suppose -z + 257 = 3*x, 0 = -5*x + 2*x + 2*z + 242. Suppose 0 = 2*k + 3*w - x, -5*k + 188 + 4 = 3*w. Does 12 divide k? True Let f(s) = 35*s**3 + 2*s**2 + s - 2. Does 15 divide f(1)? False Suppose 0*g - 2*g + q + 3 = 0, 9 = 5*g - q. Suppose 0 = -2*o - 3*u + 93, 120 = 3*o - 0*u - g*u. Is o a multiple of 21? True Suppose -2*s - 8 = -2*m, s + 9 = 3*m - s. Does 18 divide (m - -25) + (-8 - -5)? False Let y(a) = 4*a**2 + 8*a + 5. Let f be y(-6). Let g = f + -45. Is 23 a factor of 2256/g - 4/14? False Let u(g) be the first derivative of -g**3/3 - 7*g**2/2 + 6*g - 10. Is 12 a factor of u(-6)? True Suppose -i = 2*m - 11, -3*m = m + 5*i - 37. Suppose -4*d - 1 = -3*d, -m*d + 245 = 4*z. Suppose -4*g - 2*r + 87 = -3*r, 0 = 3*g - 4*r - z. Does 11 divide g? True Suppose 5*f = -2*q + 27, 0 = -f - 0 + 5. Let w be ((-8 - -1) + q)/(-2). Suppose w*n + 53 = 4*g - 34, 3*n - 33 = -g. Is 10 a factor of g? False Suppose -2*q - 2*q - v + 4 = 0, -4*q - 3*v = -12. Suppose q = -h + 5*n - 5 - 8, -2*h = -4*n + 20. Let m = h - -23. Is m a multiple of 5? True Let v(k) be the second derivative of k**4/6 + 5*k**3/6 - 3*k**2 + 2*k. Is 13 a factor of v(-5)? False Let a = 53 + -27. Let z = 4 - 2. Suppose b - 2*b = -3*f - a, f = -z*b + 31. Does 10 divide b? False Let f(d) = -d**3 + 2*d. Let c be f(-2). Let i = c + 43. Suppose -3 = a + 4*g, 4*a = a + 2*g + i. Does 13 divide a? True Suppose -4*y - 140 = -6*y. Does 7 divide y? True Suppose -1 = -3*n + 5. Let j be n/(-1)*(6 + -3). Let c(x) = x**2 + x + 4. Is 14 a factor of c(j)? False Let y(b) = b**3 + b**2 - 5. Let p be y(4). Suppose -
{ "pile_set_name": "DM Mathematics" }
th term of 204, 404, 604, 804, 1004, 1204? 200*g + 4 What is the x'th term of -79, -138, -197, -256, -315? -59*x - 20 What is the b'th term of 49, 63, 99, 169, 285, 459, 703? 2*b**3 - b**2 + 3*b + 45 What is the k'th term of 9, 65, 163, 303, 485, 709? 21*k**2 - 7*k - 5 What is the q'th term of -299, -668, -1037? -369*q + 70 What is the l'th term of -94, -106, -118? -12*l - 82 What is the v'th term of -379, -365, -335, -283, -203, -89, 65? v**3 + 2*v**2 + v - 383 What is the o'th term of -321, -643, -965, -1287, -1609? -322*o + 1 What is the v'th term of -18, -73, -224, -519, -1006, -1733, -2748, -4099? -8*v**3 + v - 11 What is the g'th term of 21, 22, 23, 24, 25? g + 20 What is the c'th term of 875, 894, 923, 962, 1011, 1070, 1139? 5*c**2 + 4*c + 866 What is the h'th term of 119, 455, 1015, 1799, 2807, 4039? 112*h**2 + 7 What is the p'th term of -540, -536, -532, -528? 4*p - 544 What is the l'th term of 196, 390, 600, 832, 1092, 1386, 1720, 2100? l**3 + 2*l**2 + 181*l + 12 What is the l'th term of 316, 631, 946, 1261, 1576? 315*l + 1 What is the m'th term of 16, 101, 242, 439, 692? 28*m**2 + m - 13 What is the k'th term of -341, -684, -1025, -1364, -1701, -2036, -2369? k**2 - 346*k + 4 What is the y'th term of -657, -1312, -1963, -2610, -3253? 2*y**2 - 661*y + 2 What is the d'th term of -14, -42, -72, -104? -d**2 - 25*d + 12 What is the d'th term of -215, -297, -383, -473? -2*d**2 - 76*d - 137 What is the z'th term of 21134, 21137, 21150, 21179, 21230? z**3 - z**2 - z + 21135 What is the k'th term of 36, 35, 34, 33? -k + 37 What is the f'th term of -27, -47, -65, -81, -95? f**2 - 23*f - 5 What is the c'th term of -210, -420, -630, -840? -210*c What is the d'th term of -456, -450, -442, -432, -420, -406? d**2 + 3*d - 460 What is the u'th term of -73, -76, -81, -88? -u**2 - 72 What is the j'th term of 6, 34, 112, 264, 514, 886? 4*j**3 + j**2 - 3*j + 4 What is the y'th term of -79, -65, -51, -37, -23? 14*y - 93 What is the m'th term of 64, 69, 74, 79, 84, 89? 5*m + 59 What is the p'th term of -43, -79, -105, -121, -127, -123? 5*p**2 - 51*p + 3 What is the u'th term of -86, -68, -40, -2? 5*u**2 + 3*u - 94 What is the y'th term of -2038, -2031, -2010, -1969, -1902? y**3 + y**2 - 3*y - 2037 What is the o'th term of -456, -1015, -1572, -2127? o**2 - 562*o + 105 What is the u'th term of -128, -519, -1170, -2081, -3252, -4683, -6374? -130*u**2 - u + 3 What is the t'th term of 468, 466, 462, 456? -t**2 + t + 468 What is the y'th term of 107, 110, 113, 116? 3*y + 104 What is the z'th term of 4458, 4459, 4460, 4461, 4462? z + 4457 What is the i'th term of -29, -55, -81, -107, -133, -159? -26*i - 3 What is the i'th term of -171, -701, -1587, -2829, -4427, -6381, -8691? -178*i**2 + 4*i + 3 What is the c'th term of 3, 4, -5, -30, -77, -152? -c**3 + c**2 + 5*c - 2 What is the o'th term of 140, 36, -80, -214, -372, -560, -784? -o**3 - 97*o + 238 What is the v'th term of -3, -3, -17, -51, -111, -203? -v**3 - v**2 + 10*v - 11 What is the z'th term of 3438, 6874, 10308, 13740, 17170, 20598, 24024? -z**2 + 3439*z What is the l'th term of -1222, -1220, -1208, -1180, -1130, -1052, -940, -788? l**3 - l**2 - 2*l - 1220 What is the r'th term of -2, 35, 72? 37*r - 39 What is the i'th term of 3451, 3449, 3447, 3445? -2*i + 3453 What is the p'th term of -796, -795, -794, -793, -792, -791? p - 797 What is the c'th term of 15965, 15966, 15967, 15968? c + 15964 What is the t'th term of 3, -7, -29, -69, -133, -227, -357, -529? -t**3 - 3*t + 7 What is the r'th term of 164, 328, 492, 656, 820? 164*r What is the s'th term of 6, 28, 62, 108, 166, 236, 318? 6*s**2 + 4*s - 4 What is the t'th term of -52, -148, -318, -568, -904, -1332? -t**3 - 31*t**2 + 4*t - 24 What is the a'th term of 107, 145, 207, 293, 403, 537, 695? 12*a**2 + 2*a + 93 What is the t'th term of -2236, -4467, -6698? -2231*t - 5 What is the v'th term of 78, 133, 174, 195, 190, 153, 78, -41? -v**3 - v**2 + 65*v + 15 What is the m'th term of -118, -125, -136, -151, -170? -2*m**2 - m - 115 What is the l'th term of 14, 18, 20, 20, 18? -l**2 + 7*l + 8 What is the r'th term of -82, -321, -718, -1279, -2010, -2917, -4006? -r**3 - 73*r**2 - 13*r + 5 What is the r'th term of -337, -346, -369, -412, -481, -582, -721? -r**3 - r**2 + r - 336 What is the o'th term of -7, -2, 7, 20, 37? 2*o**2 - o - 8 What is the f'th term of -25, -45, -85, -151, -249, -385, -565, -795? -f**3 - 4*f**2 - f - 19 What is the z'th term of -726, -725, -724, -723? z - 727 What is the y'th term of 20, 46, 118, 260, 496, 850? 4*y**3 - y**2 + y + 16 What is the q'th term of 33, 37, 51, 81, 133? q**3 - q**2 + 33 What is the x'th term of -18, -35, -52, -69, -86? -17*x - 1 What is the x'th term of 40, 39, 46, 67, 108? x**3 - 2*x**2 - 2*x + 43 What is the y'th term of -177, -345, -505, -657, -801, -937, -1065? 4*y**2 - 180*y - 1 What is the j'th term of -745, -749, -763, -793, -845, -925, -1039? -j**3 + j**2 - 745 What is the c'th term of 13, 33, 71, 133, 225, 353, 523, 741? c**3 + 3*c**2 + 4*c + 5 What is the a'th term of -6, -21, -24, -9, 30, 99, 204, 351? a**3 - 22*a + 15 What is the k'th term of -21, -66, -161, -330, -597? -4*k**3 - k**2 - 14*k - 2 What is the n'th term of 14, 47, 130, 287, 542? 4*n**3 + n**2 + 2*n + 7 What is the k'th term of -736, -1465, -2196, -2929, -3664, -4401? -k**2 - 726*k - 9 What is the p'th term of -52, -104, -156, -208, -260? -52*p What is the u'th term of -13, -9, -1, 11? 2*u**2 - 2*u - 13 What is the t'th term of -2260, -4517, -6774, -9031, -11288, -13545? -2257*t - 3 What is the y'th term of -75, -155, -235, -315, -395, -475? -80*y + 5 What is the j'th term of 31, 45, 59, 73? 14*j + 17 What is the i'th term of -22, -34, -56, -94, -154, -242, -364, -526? -i**3 + i**2 - 8*i - 14 What is the a'th term of -2314, -2319, -2328, -2341, -2358? -2*a**2 + a - 2313 What is the p'th term of 365, 732, 1099, 1466? 367*p - 2 What is the b'th term of -1234, -2463, -3692, -4921, -6150? -1229*b - 5 What is the b'th term of 512, 513, 514, 515, 516, 517? b + 511 What is the n'th term of 219, 233, 263, 315, 395, 509, 663? n**3 + 2*n**2 + n + 215 What is the h'th term of -781, -778, -775, -772? 3*h - 784 What is the r'th term of 87, 104, 123, 144, 167? r**2 + 14*r + 72 What is the m'th term of 11972, 11974, 11976, 11978? 2*m + 11970 What is the z'th term of -3003, -2998, -2991, -2982, -2971, -2958, -2943? z**2 + 2*z - 3006 What is the n'th term of -260, -516, -774, -1034, -1296, -1560? -n**2 - 253*n - 6 What is the f'th term of -9, 29, 93, 183, 299, 441? 13*f**2 - f - 21 What is the f'th term of 665, 664, 651, 620, 565, 480? -f**3 + 6*f + 660 What is the k'th term of -2, 21, 44? 23*k - 25 What is the w'th term of -3443, -3441, -3439, -3437, -3435? 2*w - 3445 What is the s'th term of 25, 62, 111, 172, 245? 6*s**2 + 19*s What is the k'th term of 51, 92, 133, 174, 215, 256? 41*k + 10 What is the y'th term of -38, -87, -132, -173, -210, -243? 2*y**2 - 55*y + 15 What is the m'th term of 86, 87, 88, 89? m + 85 What is the i'th term of 205, 222, 239, 256, 273, 290? 17*i + 188 What is the z'th term of 76, 128, 170, 196, 200? -z**3 + z**2 + 56*z + 20 What is the x'th term of 787, 786, 785, 784, 783? -x + 788 What is the l'th term of 2688, 2678, 2656, 2616, 2552? -l**3 - 3*l + 2692 What is the a'th term of -81, -146, -211? -65*a - 16 What is the v'th term of 33, 31, 29, 27, 25, 23? -2*v + 35 What is the h'th term of -131, -122, -115, -110? -h**2 + 12*h - 142 What is the l'th term of 1320, 1321, 1322, 1323? l + 1319 What is the p'th term of 5, -3, -45, -145, -327, -615? -4*p**3 + 7*p**2 - p + 3 What is the o'th term of 66, 131, 196, 261, 326, 391? 65*o + 1 What is the j'th term of -794, -814, -856, -932, -1054, -1234, -1484? -2*j**3 + j**2 - 9*j - 784 What is the u'th term of -621, -624, -623, -618? 2*u**2 - 9*u - 614 What is the o'th term of 846, 828, 806, 786, 774, 776, 798, 846? o**3 - 8*o**2 - o + 854 What is the n'th term of -38, -49, -50, -35, 2? n**3 - n**2 - 15*n - 23 What is the g'th term of 1, 7, 15, 25, 37? g**2 + 3*g - 3 What is the p'th term of 105, 202, 293, 378? -3*p**2 + 106*p + 2 What is the z'th term of 2146, 4289, 6432, 8575, 10718, 12861? 2143*z + 3 What is the q'th term of -31, -34, -37, -40? -3*q - 28 What is the t'th term of -2
{ "pile_set_name": "DM Mathematics" }
636187 18.976 * 0.2 3.7952 What is -0.5 times -0.6971? 0.34855 Product of 1.21 and -277.2. -335.412 4.341 * -0.12 -0.52092 Product of -888.7 and -130. 115531 What is -643.7 times -1? 643.7 What is the product of 0 and 67799? 0 What is the product of 457218 and -0.1? -45721.8 Work out 3 * 39333. 117999 19.8*-416 -8236.8 Multiply -25417 and -4. 101668 What is the product of -38750 and 0.35? -13562.5 11406 * -5 -57030 185239 times -2 -370478 Calculate 132519*5. 662595 What is 72.9 times -83? -6050.7 What is the product of 2 and 2659.1? 5318.2 Work out -20 * 47831. -956620 Product of -0.03 and -1285879. 38576.37 Work out 1616641 * -2. -3233282 What is -1.8 times -0.23211? 0.417798 What is -201 times 0.1079? -21.6879 Calculate 228.1*-0.0856. -19.52536 -0.36 * -158 56.88 0.2 * -12232 -2446.4 Work out 1 * 16439.65. 16439.65 -1376 * 25 -34400 Multiply -170014.5 and 0. 0 What is the product of -39101 and -5? 195505 Calculate -2.801*16. -44.816 Calculate -0.5*-45.9. 22.95 9.822*-11 -108.042 Work out 0.9 * -19215. -17293.5 What is the product of 0.0725 and -10.8? -0.783 Work out 48093 * 0. 0 What is -27537.6 times 1? -27537.6 Work out -427 * -63.83. 27255.41 Product of 15.402 and -0.2. -3.0804 -2499*0.0078 -19.4922 What is the product of -3.6 and -3179? 11444.4 What is the product of 24 and -1.92? -46.08 Multiply -80091 and -0.4. 32036.4 -5711*7.18 -41004.98 Multiply 0.03 and -9353. -280.59 What is the product of -0.07 and 36.8157? -2.577099 What is the product of -4.614 and -444? 2048.616 What is the product of 3.661948 and -0.3? -1.0985844 Multiply 4851 and -0.03. -145.53 -0.2 * -13.083 2.6166 Work out -1522 * 0.33. -502.26 What is -0.47 times 2492? -1171.24 What is -262813 times -0.4? 105125.2 What is -110710 times 17? -1882070 12.589 * -8 -100.712 Product of 6555 and -5.6. -36708 -0.5*-943 471.5 Calculate 0.3*5149. 1544.7 -2.8*8166 -22864.8 Multiply 0 and -31848. 0 Calculate 1.5826*9. 14.2434 Work out 0.4219 * 0.7. 0.29533 Calculate -1.17*-28. 32.76 What is -138 times -64? 8832 -2*528 -1056 What is the product of 2042.86 and -0.06? -122.5716 -188*-0.784 147.392 -1.0071*-3.5 3.52485 Work out -0.1 * 181956. -18195.6 Multiply -1432.235 and -2. 2864.47 -0.1 times 1472.3 -147.23 Product of 0.073 and 32732. 2389.436 Multiply 111148 and 0.4. 44459.2 -0.779 * -15 11.685 -1011 * 0.062 -62.682 Multiply -2.4 and -11365. 27276 What is the product of 1229 and -50? -61450 Product of 229.42 and -3. -688.26 -1 * -6.29 6.29 Work out 0.3 * 35057. 10517.1 Calculate -0.3*7426. -2227.8 5 * 47.86 239.3 Calculate 265*-3268. -866020 What is -54 times -16924? 913896 What is -1.61027 times 0.2? -0.322054 What is -141.385 times 0.5? -70.6925 -155.35*-0.3 46.605 -25*169.2 -4230 What is the product of 5 and -8098? -40490 Multiply -7742 and 5. -38710 -30781 times -0.28 8618.68 Work out -80 * 1.651. -132.08 0.3 * -21294 -6388.2 What is -0.4 times 418? -167.2 Multiply 254.36 and -263. -66896.68 What is the product of -0.07 and 4.273? -0.29911 5646*402 2269692 Calculate 99*-44.11. -4366.89 Calculate -1844*0.02. -36.88 -753.6*82 -61795.2 What is the product of -1 and -2254? 2254 Calculate -132465*0.03. -3973.95 1.5 times -5676 -8514 6 times 2432.19 14593.14 -0.4 * -0.0430565 0.0172226 0.5 times 27957 13978.5 What is the product of 14 and 62.8? 879.2 Work out -138 * -15. 2070 Calculate 0.04*-18.9. -0.756 Work out -41229 * -0.5. 20614.5 Product of -169511 and -0.3. 50853.3 Calculate -1.964*92. -180.688 What is -4 times 0.05008? -0.20032 What is the product of 8592 and 7? 60144 What is the product of 5 and -0.95169? -4.75845 Work out 197937 * 0. 0 What is the product of -3096 and 2.7? -8359.2 Work out -2 * -255939. 511878 Product of 0.046599 and 0.03. 0.00139797 43*-0.142 -6.106 -0.187 times -180 33.66 228 times 10.22 2330.16 Product of -123.66 and -0.09. 11.1294 0.3 * -4712 -1413.6 Product of 0 and -99511. 0 -5 * 10133 -50665 Work out -2.78495 * -4. 11.1398 Work out 1.38 * 147. 202.86 Work out -19011 * -54. 1026594 0*-0.0203 0 Product of -0.5 and 4064.69. -2032.345 -40036 times 5 -200180 Work out 400.262 * -0.5. -200.131 421.6 * -0.41 -172.856 Work out -0.9196 * -0.01. 0.009196 0.2 * -0.3361 -0.06722 Product of 34398 and -5. -171990 What is the product of 3 and -3555.81? -10667.43 -0.35 times 1067 -373.45 92 * 7613 700396 -0.5 * 0.6292 -0.3146 Multiply 188.32 and 30. 5649.6 2 * 0.126025 0.25205 Calculate -0.1*17884. -1788.4 What is the product of -0.626 and -2908? 1820.408 -18.46*4 -73.84 84 * 47.34 3976.56 -2092 times 42 -87864 Calculate -1.5*20.76. -31.14 What is 5858 times 250? 1464500 Multiply 4 and 0.056052. 0.224208 -3482.7*-10 34827 -7 times -0.00824 0.05768 Multiply 20256 and 0. 0 -0.116*3.32 -0.38512 What is the product of 0.1 and 0.004131? 0.0004131 -0.05904 * -43.1 2.544624 Work out 0.042 * 1211. 50.862 Work out -0.225341 * -2. 0.450682 Product of -49.72 and -0.6. 29.832 Product of -0.14 and 8.87. -1.2418 0.176 times 351 61.776 What is 0.007958 times -0.6? -0.0047748 Calculate -175*1730. -302750 0*-0.26713 0 What is the product of -0.4 and 101661? -40664.4 1013897 * 3 3041691 Multiply -28 and 999. -27972 Work out 0 * 10202.62. 0 Multiply -1.6 and 129.3. -206.88 Calculate -0.108977*4. -0.435908 1.03 * -0.063 -0.06489 87.914 * 12 1054.968 Calculate -741*3.6. -2667.6 Calculate 41473.14*0.2. 8294.628 -1.7188*0.13 -0.223444 What is the product of 1.13 and -11.62? -13.1306 What is the product of 0.0291 and 7.27? 0.211557 2401.48*2 4802.96 -1.30943*-2 2.61886 Work out -0.17 * -0.91352. 0.1552984 5.699 * -0.2 -1.1398 Product of -10.592 and -137. 1451.104 What is the product of -939 and 1276? -1198164 -905 times 23.25 -21041.25 Calculate 1644*87. 143028 -46529*0.21 -9771.09 Calculate -475.92*0.04. -19.0368 -9588 * 0.0701 -672.1188 -5.53 * 1659 -9174.27 Multiply -128 and -1.716. 219.648 What is the product of 15742 and -4? -62968 22298*-0.08 -1783.84 -1166459 * -4 4665836 Calculate -28*69. -1932 0.4 * -271193 -108477.2 What is -0.022274 times 5? -0.11137 -3 times -14752 44256 Multiply 0.18313 and -1. -0.18313 -738 * 292 -215496 What is the product of -0.5 and -0.0412877? 0.02064385 21432 times -3 -64296 1.2 * -116.7 -140.04 What is the product of -0.31 and -0.87? 0.2697 Product of -35.6 and -0.604. 21.5024 -0.0937198 times -1 0.0937198 Work out -3 * 549553. -1648659 -2 times 2271.9 -4543.8 -0.4*13276 -5310.4 What is 29701 times -1.6? -47521.6 -2999.8 times -2 5999.6 What is -0.02 times -15392? 307.84 Calculate 53393*-0.3. -16017.9 -1.8502 times 1.4 -2.59028 -120 times 7 -840 -5386 times 16 -86176 Product of -4 and 1.14019. -4.56076 Multiply -187 and 730. -136510 0.1519*15 2.2785 Work out 118.97 * 0.52. 61.8644 What is the product of -345918 and -0.1? 34591.8 -0.121 * -56 6.776 What is the product of 96.086 and -4? -384.344 What is the product of -124 and -5.547? 687.828 10.3019 * -3 -30.9057 -7 * -214348 1500436 Work out -0.20769 * -0.1. 0.020769 Calculate 123*-26622. -3274506 3.9 * 0.4297 1.67583 Multiply -0.018 and -73677. 1326.186 Multiply 353426 and 0.3. 106027.8 -39 * 0.038 -1.482 Product of -3911 and 340. -1329740 Work out -574 * 2. -1148 -24339*-2 48678 What is 69031 times -0.2? -13806.2 Work out -0.262 * 6.2. -1.6244 Work out -0.5 * -289. 144.5 What is the product of 131.5 and 18? 2367 What is 0 times 96061? 0 104485 * 2 208970 What is the product of 6.076 and 97? 589.372 Calculate -499159*1. -499159 -525433 times -9 4728897 Product of -4 and 3.1781. -12.7124 -5.7*-431.69 2460.633 -1.7*248874 -423085.8 Calculate 21188.5*0.17. 3602.045 -53555 times 4.8 -257064 Work out -199669 * -0.3. 59900.7 4339 times 137 594443 -44 * 16.023 -705.012 31*134.33 4164.23 Calculate -1*273482. -273482 -3 * -1761678 5285034 What is the product of 2.3573 and 3? 7.0719 2 * -3.76072 -7.52144 What is the product of -5 and -222.93? 1114.65 Work out 262.61 * 2. 525.22 Work out 2 * 823.2. 1646.4 -16 times 220 -3520 824.08 times 5 4120.4 0.116 * 469 54.404 Product of -5.09 and 20.23. -102.9707 What is 0.08 times -8327? -666.16 -0.0858*-792 67.9536 What is 15043 times 0.1? 1504.3 Calculate 4*17629. 70516 -1.086 * 6.01 -6.52686 What is 19705 times -0.27? -5320.35 0.4*-394400 -157760 What is the product of 0 and -24.429? 0 Calculate 1510*0.15. 226.5 0.1*51.81 5.181 0.1337 * 866 115.7842 -1.789*-0.41 0.7
{ "pile_set_name": "DM Mathematics" }
mmon denominator of ((-171)/399)/(l/147) and u. 2 Let o = 74571 + -149055/2. Let j = -769470537/144620 - -2076/7231. Let s = 5322 + j. Find the common denominator of s and o. 20 Let i = 43 - 47. What is the least common multiple of 2 and i/(-6)*27*(-1 - -2)? 18 Find the common denominator of -45/8 and (2/(-4))/(3 - 1360/470). 40 Let r(x) = -x**3 - 4*x**2 + 2*x + 6. Let w be r(-4). What is the least common multiple of 4/w*3/(-2) and (-15)/(-10)*(176/33)/1? 24 Let i be (-4)/6 - 35/15 - 56. Calculate the common denominator of -25/2 and i/28 + 15/20. 14 Calculate the common denominator of -41/42 and 842*(-2)/320 + (-30)/(-5). 1680 Let h be (3/6)/(2/84). What is the common denominator of (-114)/h*(-49)/12 and 4/6 + 0 + 304/(-132)? 66 Let r(t) = t - 17. Let w be r(-18). Let h = 41 + w. What is the smallest common multiple of 27 and h? 54 Suppose 4*p - 11*w = -7*w + 4, -3*p - 5*w + 35 = 0. Let v = 4 + 0. Suppose v*z - u = p, -2*z - 4*u = u + 3. What is the least common multiple of z and 11? 11 Let v = 1858 + -827. Let n = 1983/2 - v. What is the common denominator of n and 130/(-55)*(-1)/2? 22 Suppose d - 24 = 2*q, 4*d + 57*q - 62*q = 105. What is the smallest common multiple of d and ((-2)/(-4) - 0)*16? 120 Let g(l) = -l**3 - 3*l**2 + 4*l + 6. Suppose 25*r - 120 = 5*r. What is the lowest common multiple of r and g(-4)? 6 Calculate the lowest common multiple of ((-36)/(-8))/(615/100 + -6) and -3 - -7 - (-2)/(-2). 30 Let r(l) = 120*l - 25. Let v be r(-4). Let k = 1535/3 + v. Calculate the common denominator of k and 53/9. 9 Calculate the least common multiple of (2 - 0)/((-17)/(-340)) and 8. 40 Let c(n) = -8*n - 2. What is the common denominator of c(4) and 12/19? 19 Calculate the common denominator of ((-9)/(-324))/(3/(-906)) and 59/9. 18 Suppose -3*g = 3, 11*g - 1095 = -5*t + 6*g. What is the lowest common multiple of 99 and t? 1980 Suppose -1 = -17*i + 16. Calculate the common denominator of 43/4 and i. 4 Let r = -13815/2 - -20674/3. Let k = -41/243379 + 18962875359/3407306. Let f = -5562 + k. Calculate the common denominator of r and f. 42 Let c(d) be the second derivative of d**3/3 - 17*d**2/2 - 16*d. What is the lowest common multiple of 5 and c(9)? 5 Let y be 2/4 + (-17128)/(-16). Let a = 1788 + -14347/8. Calculate the common denominator of (-8)/(-6) + y/(-216) and a. 8 Let n be -1 - -10*248/2474. Let o = 95261/4948 - n. Let i = -764/3 - -253. Calculate the common denominator of i and o. 12 Let u be 4/(-8) + 38307/22165. Let d = 24831/2 - 50034461/4030. Let n = u - d. Find the common denominator of -35/16 and n. 176 Suppose -4*q = -12 - 4. Suppose 0 = q*z + 2681 + 371. Calculate the common denominator of -85/4 and z/(-154) + (-1 - 0). 44 Let o = -82 - -117. Suppose 0 = 2*u - z + 62, 4*z + 0*z = -5*u - 142. Find the common denominator of 125/6 and (285/(-21))/(u/o). 6 Let c = 17/92 + 691/368. Calculate the common denominator of 39/632 and c. 1264 What is the common denominator of 63/88 and (-282)/(-24) + (1 - 3)? 88 Let z be (4 - 1895/470)/18. Let a = z + 1939/141. Find the common denominator of -31/8 and a. 8 Suppose 31 = j + 22. Suppose 2*h + 3*o + 3069 = 0, 2*h + 3066 = -0*h - 2*o. Calculate the common denominator of (h/(-4))/j*-1 and 87/14. 14 Let q = -10161/140 - -472/7. What is the common denominator of q and -97/66? 660 Let n(p) = 4*p**2 - 13*p - 25. Calculate the least common multiple of 48 and n(7). 240 Calculate the common denominator of -74/21 and (-4)/15*270/(-756). 21 Let r(t) be the first derivative of -3*t**2/2 - 15*t - 2. Let k be r(-6). Calculate the least common multiple of (-32)/k*12/(-8) and 8. 16 Let c = 158775/16 + -9927. What is the common denominator of c and (40/(-25))/4 - (-4232)/(-720)? 144 Let q = -19295/24 - -804. Find the common denominator of 47/148 and q. 888 Suppose 5*a - 51 = 4*t, 0*a - 2*a + 24 = 2*t. Let h be 1/2*0/a. Let n = h + 2. What is the smallest common multiple of n and 10? 10 Let d = -2901/754 + 106/29. Let f = 212/13 - d. Calculate the common denominator of 151/12 and f. 12 Let y = 67 + -52. What is the lowest common multiple of y and 3? 15 Let z(w) = 2*w**3 + 21*w**2 - 11*w + 4. Let g be z(-11). Suppose -n = -3*m + 136, -g*m - 2*n - 2*n = -160. Calculate the lowest common multiple of 20 and m. 220 Let u = -3 + 15. Calculate the common denominator of 58/3 and ((-24)/(-35))/(u/(-30)). 21 Let g be 0 + (-8*2)/(-4). Suppose 0 = g*l - 3*c - 3, -5*c + 9 = -2*c. What is the least common multiple of l and 11? 33 Suppose 0 = -3*u + 16 + 80. Calculate the least common multiple of u and 40. 160 Calculate the common denominator of ((-308)/32)/((-17)/((-119)/(-42))) and -22/7. 336 Suppose 5*t - 15 = 0, 3*b + 3*t = 8*b - 126. Calculate the least common multiple of b and 33. 297 Let f = -199/30 - 86/5. Let g = -5/174 + 59/174. Let m = 2669/464 + g. What is the common denominator of f and m? 48 Let w = -11 - -24. Suppose w*o + 48 = 16*o. Calculate the lowest common multiple of o and 8. 16 What is the common denominator of -19/17 and (1430/275)/(8/(-50))? 34 Let u = -687 + 2667/4. Calculate the common denominator of u and -43/409. 1636 Let b(n) = n**3 - 7*n**2 + 12*n. Let y(x) = -3*x - 7. Let j be y(-4). What is the least common multiple of 10 and b(j)? 10 Let k be (5 - 17) + (1 - 1). Suppose -4*p + 2*p - 20 = 0. Calculate the least common multiple of k/p*25/15 and 41. 82 Let a be (3/(60/(-632)))/(5/25). What is the common denominator of (a/56)/(0 + (-1)/(-2)) and 14*14/(-16)*-2? 14 Let p(m) be the second derivative of m**4/2 + 11*m**3/6 + m**2/2 + 42*m. What is the lowest common multiple of 9 and p(-3)? 198 Let j = -1423/462 - 64/231. Find the common denominator of j and (747/(-162))/(-2 + 20/12). 42 Let z = -55 - -57. Let j(w) = 2*w**2 + 2*w - 10. Calculate the smallest common multiple of 16 and j(z). 16 Suppose 0 = -2*n - 4*s + 13562, 2*n - s = 10021 + 3546. Let t = n - 40565/6. Calculate the common denominator of t and (-1)/(-12)*400/(-12). 18 Let m(g) = -g + 24. Let p(v) = 6*v + 18. Let u be p(-2). What is the lowest common multiple of 16 and m(u)? 144 Let q = 2309194139737810/58257 + -39638054472. Let c = q + -2/6473. What is the common denominator of 2 + ((-57)/(-4) - -2) and c? 36 Let d(m) = 26*m**2 + 2*m + 2. Let f be d(-1). Let n = f - 16. Calculate the least common multiple of 10 and n. 10 Let w = 8 - -19. Let x = -17 + w. Calculate the lowest common multiple of 8 and x. 40 Let y(r) = -2 - r**3 + 2*r**2 + 2*r - 1 + 3*r + 0. Let b be y(4). Calculate the smallest common multiple of 4 and (6*-1)/(b/10). 4 Let q = -342/365 - 8223/20440. Find the common denominator of -99/112 and q. 112 Let q = 18/13943 + 652621/2091450. Find the common denominator of 95/8 and q. 600 Let p = -7 - -12. Suppose 0 = 2*d - 1 - p. Suppose d*f - 7 = 2*f. Calculate the least common multiple of 5 and f. 35 Let c = 1079 + -1046. What is the lowest common multiple of 88 and c? 264 Let g = -3277479/197 + 16637. Let o = g + 3663/1576. What is the common denominator of 27/13 and o? 104 Let o(i) = 2*i - 4. Let k be o(6). Suppose -2*s = -3*s - 2*x + 4, 2*x = s + k. What is the common denominator of (-327)/(-18) - 4/s and -25/14? 42 Let o(u) = 62*u - 20. Calculate the lowest common multiple of 4 and o(1). 84 Suppose -22 = 3*w - 0*j - 2*j, 46 = -5*w + j. Let s be 3*1/2*w. Calculate the smallest common multiple of 22/10 + 3/s and 16. 16 Let s be 6/(-428)*6062/(-105). Let l = 1/107 - s. Let u = 7/10 - l. What is the common denominator of -67/6 and u? 6 Let d be (6/9)/((-1)/(-6)). Suppose -3*r + 5*b = -21, 3*r - d*b = -r + 20. Calculate the least common multiple of 10 and r. 10 Let u be 1 + 3/((-12)/52). Let x = u - -13. Suppose 36 = 4*n - 4*r, n + r + 2 - 9 = 0. What is the lowest common multiple of n and x? 8 Let b = 10617066032 + -327451550367311/30842. Let s = b + 2/2203. Calculate the common denominator of 95/6 and s. 42 Let d = -1729 - -24215/14. Calculate the common denominator of -99/604 and d. 4228 Calculate the common denominator of 24/7 and -95*(-8 + (-7266)/(-908)). 3178 Let t = 2466 + -1323. Let k = t - 2339/2. Calculate the common denominator of 118/40 - (1 - (-3 + -2 + -1)) and k. 20 Calculate the common denominator of -50/7 and 192/(-60)*(-56)/(-32). 35 Let q(i) = -i**3 + 11*i**2 - i - 86. Calculate the least common multiple o
{ "pile_set_name": "DM Mathematics" }
-28)/84 - 2*(-10)/96). -8 What is the value of (-3 + 4)/(-22 - 7714/(-350))? 25 ((-36)/33)/(42/(-231)) 6 Calculate ((-381)/18 - (20 - 29)) + 11. -7/6 What is 11/(495/(-10)) - 22/2574? -3/13 Evaluate ((-136)/(-32) - 5)/(3*(-5)/160). 8 What is (1*15)/(1 + (-26 - -24))? -15 ((-45)/6)/((-40)/80) 15 Evaluate 7/5 + ((-540)/(-525) - 3). -4/7 Evaluate 16/(-568) + (-222)/(-7881). 0 Evaluate ((3 - 7)/40)/((-14)/35). 1/4 What is the value of 324/(-630) - 36/(-45)? 2/7 Calculate ((-4)/(-9) + 0)*((-54)/(-18))/24. 1/18 (-121)/(-242)*(-242)/12 + 2/24 -10 What is the value of (87/(-261) - (-512)/42) + -11? 6/7 28/(-231)*(-10 + (-412)/(-40)) -2/55 Calculate ((-9)/(-24))/(((-7)/(-56))/((-11)/(-110))). 3/10 Calculate ((-54)/(-20))/((-82)/164) - -6. 3/5 What is 696/348*2*7/(-2)? -14 What is -174*(-4)/(-1656) + 2/23? -1/3 Calculate (124/(-868))/((-3)/(-21)). -1 2737/644 + (-9)/(-12) 5 -36 + 30 + -9 + 4 -11 ((-10)/2)/(-21 + (-534)/(-24)) -4 Evaluate (-126 - 0)/6 + 14 + 0 + -7. -14 (12516/184164)/(0 + 14/4) 2/103 What is the value of -19 - (-49)/((-1372)/(-1344))? 29 What is the value of (4/1)/((-28)/56)? -8 Evaluate ((-1)/(-38))/(38/152) - 744/(-513). 14/9 What is the value of ((-1290)/9675)/((-1)/6)? 4/5 What is the value of (-5 - 88/(-144)*8)*(-9)/7? 1/7 (14 + 2 - 14)/((-22)/26 - -1) 13 (-7)/(-6)*(-952)/11662 -2/21 Calculate (-2)/(-10) - (-64)/(-3520). 2/11 What is (-7290)/648*(-3)/(-27)? -5/4 Evaluate 112/(-56)*(-10)/70. 2/7 64/48*-3*2/16 -1/2 Calculate -1 + (17 - 17) - (6/(-10))/(-3). -6/5 Calculate 1 - 1 - 17 - (356 - 365). -8 -15*(11 - (-51)/(-5)) -12 What is the value of 1/((-2)/20) + -19 + 12335/425? 2/85 (-39)/(-56) + -8*16/224 1/8 (-18)/78 + 3/13 0 What is (-9)/(-45)*(-1 - 5/6 - -1)? -1/6 What is 225/45 - (-6 - -1)*(-13 - -15)? 15 (6/16)/(13/(-104) + (-93)/(-24)) 1/10 Evaluate ((-374)/165 - (-1 - 1))*(5 - -5). -8/3 What is the value of (-114)/(-6) + -23 + 19? 15 Calculate -28*51/476 + ((-24)/(-14) - -1). -2/7 What is 26 + (-20)/(0 - -2) - 4? 12 Evaluate ((-1252)/939)/(1/3*-1). 4 What is the value of 60/(-120)*(-8)/3*6/172? 2/43 36/45 - (-529)/(-230) -3/2 What is the value of 576/(-288) - (-1 + -16)? 15 ((-6)/(-21))/(-1) + ((-300)/24 - -13) 3/14 (-4)/(28/(-27)) + (-180)/210 3 Calculate 24/92*(-37076)/(-403). 24 Evaluate (105/14)/(-15) - (-17)/2. 8 -15 - (252/(-756))/(1 + 16/(-18)) -12 What is the value of ((-14)/4)/(21/(-12))? 2 Calculate -19 + -10 + (10 - -23). 4 Evaluate (-7 + (-966)/(-140))*8/(-12). 1/15 What is (-423)/(-174) + (-1800)/(-26100)? 5/2 ((-20)/(-25))/(14/(-21)*(-9)/(-15)) -2 Calculate -2*(-270)/(-75) + 9. 9/5 Calculate (-1)/(-35)*-9 - (272/(-56) - -5). -2/5 What is the value of ((2/(-5))/((-322)/(-690)))/(11/77)? -6 Evaluate 94/12 + 472/(-59). -1/6 What is -30 - (-46 + 2100/126)? -2/3 What is 37926/1617 - 6/(-11)? 24 (-9*(-16)/(-24))/((-3)/7) 14 Evaluate 522/75 + 108 + -115. -1/25 -8 + (-10 - 0)*(-1023)/1265 2/23 (25 - 6690/270)*-6 -4/3 Evaluate ((-2)/4)/(1 - 99/18)*-39. -13/3 Evaluate ((-330)/44)/1*(-2 - (-24)/9). -5 (1/3)/(104/(-780)) + (-182)/(-76) -2/19 What is the value of (39/6)/(((-1462)/(-68))/43)? 13 What is 1/55*15*(-22)/66? -1/11 3 - ((-4)/7 - 20/(560/(-108))) -2/7 What is ((-16)/(-5) + 0)/((-1)/((-30)/12))? 8 (-510)/(-68)*-4*14/12 -35 Calculate 35380/(-1363) + 26 - 372/(-94). 4 Calculate 2/20*16*40/1152. 1/18 Calculate 32/(-48) + 44/12. 3 What is ((-1)/(-3))/(8*(-7)/336)? -2 Calculate 10/(-66)*5823/9705. -1/11 Calculate (-2490)/(-90) + -28 - ((-116)/6 + 2). 17 Evaluate ((-1)/(-5))/((-5)/(-25)) - -7. 8 What is 18/(-36)*((5 - 1) + -8)? 2 Evaluate 2/2 + (-46)/(-23) + 9. 12 (-111)/(-39) + (-6)/(-39) + (-282)/102 4/17 What is (10/(-45) - 116/(-9))/((-470)/705)? -19 What is the value of ((-10)/(-2) + 4)*108/3564? 3/11 What is the value of (-1575)/84*(-16)/(-60)*6? -30 What is the value of ((-3)/(-2))/(-3)*43/(-86)? 1/4 What is the value of (-2)/(-1) - 7 - (-93 + 89)? -1 13/(507/(-65)) + 4 7/3 What is the value of (-2)/55 + 501800/35750? 14 What is the value of 55/(-15)*(-24)/308? 2/7 -4*((-3)/(-2))/(327/872) -16 -25 - (12 + -22 + 4) -19 Evaluate ((-6)/21)/(294/8232). -8 Calculate -2 - 16 - -3 - ((-4 - -1) + -3). -9 Calculate ((-330)/(-42) - 7)/(5 + 256/(-56)). 2 What is the value of (-3)/15 - (2800/(-24000))/(1/(-9))? -5/4 Evaluate 44/308 - 20/(-7). 3 What is the value of 274/20 + 75/40*216/1350? 14 What is ((-3)/2)/((-162)/1404)? 13 Calculate -8*((-15)/(-9) + -2)*298/2980. 4/15 Evaluate (6/9)/(((-2)/84)/((-8)/16)). 14 (-12)/(-154)*((10 + 17)/(-3) + 2) -6/11 (-1484)/(-23002) + (-268)/310 + 1 1/5 Evaluate (45/12)/5*38/(-114). -1/4 Evaluate (1328/112 + -11)/(2/(-4)). -12/7 Evaluate ((-697)/68 + 7)*4. -13 Evaluate 3*(9/24 + -25*444/1440). -22 What is the value of (-6)/(-141) - (-69336)/(-197964)? -4/13 What is the value of (-1)/(-4) + -21 + 75117/3612? 2/43 Calculate (-4356)/486 + 3 - -6. 1/27 Evaluate ((-10)/4)/(345/3312). -24 What is the value of 5/4 - (4/(-14) + (-222169)/(-150612))? 2/33 What is the value of ((-117)/36 - -7)*(-26)/(-130)? 3/4 Evaluate 24/21*-49*36/(-3024). 2/3 Calculate 140/(-630) + 14/(-18). -1 What is (-32 + 33 - (0 - 1)) + (-1 - -2)? 3 Evaluate 9 + (-232)/16 - (-1071)/(-34). -37 ((-21)/(-9) - 2)/(27/90) 10/9 Evaluate 1330/70*((-4)/(-16) - 15/(-20)). 19 Evaluate 25/((-250)/(-180))*2*2/8. 9 Calculate 2/4*-2 + (840/147 - 3). 12/7 Calculate (-3312)/(-144) + 2848/(-124). 1/31 (6 + -4 - 12)/(9/(-9) - 1) 5 Evaluate (-816)/(-27) - 30 - ((-104)/180 + 1). -1/5 Evaluate (-76)/(-57)*(-48)/(-28)*21/3. 16 Calculate (6/48)/((-135)/72). -1/15 Evaluate -8 + 18 - -32*4/(-16). 2 What is the value of (8 - 1) + 356/(-52) + 0? 2/13 Evaluate 634/(-22) + -461 + 490. 2/11 What is 3/(3/(-4)) + -319 + 308? -15 What is the value of (-90)/(2 + 1)*(15 + 589/(-38))? 15 Evaluate (-208)/(-1560) + 8/40. 1/3 Calculate 86/(-5) + (3364/(-116) - (-438)/15). -17 Calculate 6/(-20)*(6 - 7)*(-40)/(-32). 3/8 Calculate 1/4 - (-40 - (-8910)/216). -1 Calculate ((-3)/10)/((-4)/1080*9). 9 Evaluate (-1)/45 - (748/(-85) - -9). -2/9 Evaluate (1/(-4) - 0)*(4020/588 - 7). 2/49 Evaluate 0 + ((-2)/7 + (-10)/35 - -2). 10/7 What is 8 - 7*(-450)/210? 23 15/(-5) - 0 - (-9)/((-108)/(-46)) 5/6 2 + 9*1 + 90 + -98 3 Evaluate ((-3)/(-6))/(4/232). 29 What is the value of 567/126 - (1320/(-16))/11? 12 Evaluate 18 + -18 + 13 + (-88)/6. -5/3 Evaluate ((-96)/256 - 1058/(-304))/(-1) - -3. -2/19 (4/3)/((1/8)/((-51)/476)) -8/7 What is the value of -8*(-168)/(-192) + 23? 16 What is (-6)/1*(-248)/(-372) - -1? -3 -4 + 1 + (24/(-9) - 10972/(-1950)) -1/25 (1 - -12)/(-5 + 4) -13 Calculate (1 + 1)/(((-15)/54)/((-160)/(-48))). -24 Calculate 5/(-8 - ((-1350)/(-12))/(-15)). -10 What is -3 + 33/3 - (-2646)/(-343)? 2/7 Calculate (((-2 - -8)*(-18)/(-36))/(-5))/(-3). 1/5 Evaluate 1100/10*22/(-220). -11 What is the value of (93/(-6))/((-1)/2) - (516 + -512)? 27 What is the value of 3/(-54)*198/88? -1/8 What is 90/(-42) - 42/(-294)? -2 What is (136/(-510))/(7*5/350)? -8/3 (-18 - (-16 + 20)) + 7 + -3 -18 What is the value of 2*(627/1064 + 10/(-14))? -1/4 What is ((-80)/150)/(1/(-3))*105/(-126)? -4/3 What is (-2)/38 + 12543/(-2109)? -6 What is the value of (-3024)/882 - (-390)/(-21)? -22 Calculate 4 - 2 - 16*(3 - (-25)/(-10)). -6 What is (3/(-222))/((-3)/(-2)*10/60)? -2/37 What is the value of ((-1512)/90 - -16)/((-2)/(-45))? -18 Calculate (-66)/99*15/(-10). 1 What is the value of (-2744)/(-245) - (-4)/5? 12 Calculate (-28)/126 + ((-430)/20)/(18/4). -5 (-1)/3*(-196)/686 2/21 Evaluate 183/(-915)*20/24. -1/6 (-7720)/280 + (-50)/(-2) -18/7 What is 5 + 29*(11/6 + (-34)/17)? 1/6 1/4 + 129/204 - 84/84 -2/17 Calculate 2465/204 + 6/(-72). 12 What is the value of (16 - 1428/85)/(1/5)? -4 Evaluate (-23)/(3220/60)*(-4)/(-6). -2/7 What is 10/3*((-26)/299 + (-402)/138)? -10 What is the value of (11/(-220))/(2/8)? -1/5 ((-9)/15)/((-580)/100 - -7) -1/2 Evaluate (8/112*-8)/(-3 + 9). -2/21 Calculate (-2193)/102 + (4 - 3)*(-4)/8. -22 Evaluate 5/(-2)*(-24416)/8720. 7 Evaluate (-6872)/(-168) - (-108 - -149). -2/21 (-3 - (-29)/10) + (-1638)/(-31980) -2/41 24*3/(-16) - -2*2 -1/2 What is the value of ((-2581)/(-174) - 15)*36? -6 Evaluate (-17)/34*(-14)/35. 1/5 0/(-2) - 1*(2 + (-28)/(-8)) -11/2 What is ((-130)/(-10) - 11)*(-19)/(-2)? 19 Calculate ((616/33 - 6) + -12)/((-2)/27). -9 (-83)/(-415)*(-40)/(-6) 4/3 Evaluate 8 -
{ "pile_set_name": "DM Mathematics" }
, 1/5, 147, -0.5 in ascending order. -0.5, 1/5, 3, 147 Sort -39, 1, -8, 6 in descending order. 6, 1, -8, -39 Put 5, -4499, -4, 2, -3 in descending order. 5, 2, -3, -4, -4499 Put -62, -5, 2.3, -57 in ascending order. -62, -57, -5, 2.3 Sort 2, 5, 257 in increasing order. 2, 5, 257 Sort 0.2, -13, 25, -1/2 in decreasing order. 25, 0.2, -1/2, -13 Sort 0.4, -5/2, 0.5, -4/5049 in decreasing order. 0.5, 0.4, -4/5049, -5/2 Put 4, 0, 90, -3, 6 in decreasing order. 90, 6, 4, 0, -3 Sort -64600, 4, 5, 3 in decreasing order. 5, 4, 3, -64600 Sort 0.05789, 6/7, 4. 0.05789, 6/7, 4 Put -3, 4, -2, 620 in decreasing order. 620, 4, -2, -3 Sort -13, 2, 5, 71, -10 in descending order. 71, 5, 2, -10, -13 Put 1, 96, 3 in descending order. 96, 3, 1 Put -5, 2/11, 11678, -1/4 in descending order. 11678, 2/11, -1/4, -5 Sort 269, 96, -15 in increasing order. -15, 96, 269 Put 0.07, 0, 4, -100/7, 29 in ascending order. -100/7, 0, 0.07, 4, 29 Put -0.4, 0.5, 5, 1, 2/11, -2/7 in ascending order. -0.4, -2/7, 2/11, 0.5, 1, 5 Sort 2, -142/5, 3. -142/5, 2, 3 Put 4, 45, 138, -6, -2 in descending order. 138, 45, 4, -2, -6 Sort 2/21, 14, 3/14, 17, 4 in ascending order. 2/21, 3/14, 4, 14, 17 Put -2, 3, 4, 47, 2, -4 in decreasing order. 47, 4, 3, 2, -2, -4 Sort 31, -5, -3, 5, 4, -22. -22, -5, -3, 4, 5, 31 Put -3, -13, 1, 18, 12 in ascending order. -13, -3, 1, 12, 18 Sort -36, 44, -2. -36, -2, 44 Sort -0.4, -1/9, -0.9, -0.78, 3 in decreasing order. 3, -1/9, -0.4, -0.78, -0.9 Sort 4, 3, 2.6, 5, 22, 1/7 in descending order. 22, 5, 4, 3, 2.6, 1/7 Put 11, 10, 1, -3, 26 in decreasing order. 26, 11, 10, 1, -3 Put 1044, 2, 17 in descending order. 1044, 17, 2 Sort 0.145, -1450, -5 in ascending order. -1450, -5, 0.145 Sort -0.02, -0.2, -0.4591 in ascending order. -0.4591, -0.2, -0.02 Put 4/9, 2, -1/20, 3/7 in decreasing order. 2, 4/9, 3/7, -1/20 Sort 5, -27, 4, 2/21, 0.2, 0.5 in decreasing order. 5, 4, 0.5, 0.2, 2/21, -27 Sort 138, -0.2, -321, 2 in decreasing order. 138, 2, -0.2, -321 Put -2/17, -6398, 1/4, -0.03 in decreasing order. 1/4, -0.03, -2/17, -6398 Sort -561, -4, -34, -5. -561, -34, -5, -4 Sort 5, 17, 7, -2, 13, 1 in increasing order. -2, 1, 5, 7, 13, 17 Sort -5, -2123, -2, 3, 4 in decreasing order. 4, 3, -2, -5, -2123 Put 4, 1, -42, 9, -4 in descending order. 9, 4, 1, -4, -42 Put 121, 1, -2, 3, -105 in decreasing order. 121, 3, 1, -2, -105 Sort -7, -169, -9 in ascending order. -169, -9, -7 Put -31, -149, 71, 0 in increasing order. -149, -31, 0, 71 Sort -8, -3, -227, -5 in decreasing order. -3, -5, -8, -227 Put -4, -2, -190594 in decreasing order. -2, -4, -190594 Sort -1, -7, -403, -5, 1/6 in increasing order. -403, -7, -5, -1, 1/6 Put -1.3, -2, -14, -24 in increasing order. -24, -14, -2, -1.3 Sort -31287, -2, 4, -5 in descending order. 4, -2, -5, -31287 Put 39765, 3/11, 0 in descending order. 39765, 3/11, 0 Put -188/15, 1.15, -0.4 in descending order. 1.15, -0.4, -188/15 Put 0.4, 1589.41, -4 in descending order. 1589.41, 0.4, -4 Sort 206, -1/6, 0, 0.2 in ascending order. -1/6, 0, 0.2, 206 Sort -1263, 2/3, 24/19 in increasing order. -1263, 2/3, 24/19 Put -3, -0.03, 396.9, -5 in descending order. 396.9, -0.03, -3, -5 Sort -21, -1077, 5.7 in descending order. 5.7, -21, -1077 Put 540, -0.1, -1, -0.2, 157 in decreasing order. 540, 157, -0.1, -0.2, -1 Sort -4, 1828, -5. -5, -4, 1828 Put -3/4, 0, 4/25 in increasing order. -3/4, 0, 4/25 Sort -3.1, -80557, -2/21, -2/3, -4. -80557, -4, -3.1, -2/3, -2/21 Put 2/3, 9.2993, -3 in decreasing order. 9.2993, 2/3, -3 Put -10, -2, 1, 0 in increasing order. -10, -2, 0, 1 Sort 4, -138, 27, 6 in descending order. 27, 6, 4, -138 Put 2617, -4, 3 in descending order. 2617, 3, -4 Put 11, -6853, -5 in increasing order. -6853, -5, 11 Sort -396, 7, 25 in descending order. 25, 7, -396 Sort -1, -2, 0, 138, 4 in increasing order. -2, -1, 0, 4, 138 Put -186.9, -9, 1/3, 0 in decreasing order. 1/3, 0, -9, -186.9 Sort -5, 5, -2115 in increasing order. -2115, -5, 5 Sort -9, -3770, -2 in ascending order. -3770, -9, -2 Sort 7/5, -4, -1, 1163, 4/5 in descending order. 1163, 7/5, 4/5, -1, -4 Sort -52/67, -12, 2/9 in ascending order. -12, -52/67, 2/9 Put 111, 5, 0, 3, 1 in decreasing order. 111, 5, 3, 1, 0 Sort 2, -72, 3329 in increasing order. -72, 2, 3329 Sort 2.79, -0.5, 32. -0.5, 2.79, 32 Put 6049, 1/2, -0.13, -5, 0.1 in ascending order. -5, -0.13, 0.1, 1/2, 6049 Sort -54, 117, 3, 5. -54, 3, 5, 117 Sort 5, -2, 69, -1.1, 0.3, -0.16 in descending order. 69, 5, 0.3, -0.16, -1.1, -2 Sort 745, -1, 16, 2 in decreasing order. 745, 16, 2, -1 Sort 4, 5, 79, -8, -2. -8, -2, 4, 5, 79 Sort -5, 0.2, -2, 0.037, 3 in ascending order. -5, -2, 0.037, 0.2, 3 Sort -3649, 34, -7 in decreasing order. 34, -7, -3649 Sort 3160, -3, 369 in increasing order. -3, 369, 3160 Put 4, -3, 3, 36, 445 in descending order. 445, 36, 4, 3, -3 Sort 96, -2, -3, 6 in descending order. 96, 6, -2, -3 Sort 0, -26, -1054 in ascending order. -1054, -26, 0 Sort -0.4, 27, -1, -1.4, 6 in decreasing order. 27, 6, -0.4, -1, -1.4 Put -0.7, 1/2, 155 in descending order. 155, 1/2, -0.7 Sort -4, -0.5, 4, 18633. -4, -0.5, 4, 18633 Put -879, -2, -48 in decreasing order. -2, -48, -879 Sort 1, 12, 10854 in ascending order. 1, 12, 10854 Sort 1, 74, -44 in descending order. 74, 1, -44 Sort 2, -1409, -134, 4 in increasing order. -1409, -134, 2, 4 Sort -0.5, -0.535, 3, -2/7 in descending order. 3, -2/7, -0.5, -0.535 Sort -4, 4, 0, -921, -2 in decreasing order. 4, 0, -2, -4, -921 Put -1, 413, -212 in increasing order. -212, -1, 413 Sort -3, 0, 1619 in descending order. 1619, 0, -3 Sort -49, 1, -2, 2.64 in decreasing order. 2.64, 1, -2, -49 Sort 2, -17, -1146. -1146, -17, 2 Sort 0, -7, 128, 4 in descending order. 128, 4, 0, -7 Sort 23, 3, 20, 4 in descending order. 23, 20, 4, 3 Sort 2, 17, 78, 24 in ascending order. 2, 17, 24, 78 Put -5, 4, -46652, -1 in descending order. 4, -1, -5, -46652 Put -3/2, -4, -60, -1.6 in decreasing order. -3/2, -1.6, -4, -60 Sort -5, -3, 83, -587 in increasing order. -587, -5, -3, 83 Put 0, 123, 1/3, 177 in ascending order. 0, 1/3, 123, 177 Put -5, -7, -3, 25/4, -2 in increasing order. -7, -5, -3, -2, 25/4 Sort -4, -91, 277, -3 in decreasing order. 277, -3, -4, -91 Put 7, -6, -4, 5, 6, -2 in descending order. 7, 6, 5, -2, -4, -6 Put -2, -19, 5, 0.1 in increasing order. -19, -2, 0.1, 5 Put 1/3, 1/26, -5, 1/90 in descending order. 1/3, 1/26, 1/90, -5 Sort 23, -2, 360 in descending order. 360, 23, -2 Sort 18, -3, -8, 5, -12 in descending order. 18, 5, -3, -8, -12 Sort -64, -138, -3 in descending order. -3, -64, -138 Put -2, 4, -812 in increasing order. -812, -2, 4 Put -0.4, 3303, 127 in descending order. 3303, 127, -0.4 Put 3, 13.4742, -1.3, 0.1 in ascending order. -1.3, 0.1, 3, 13.4742 Sort -4, -36, 0, -2, -21. -36, -21, -4, -2, 0 Sort 2, -1, 3, 5, 845 in descending order. 845, 5, 3, 2, -1 Put 3, 63, 18, 1, 2, -5 in ascending order. -5, 1, 2, 3, 18, 63 Sort -2/7, -98, 99, 5, -1/2. -98, -1/2, -2/7, 5, 99 Sort -62, -2, -5 in descending order. -2, -5, -62 Sort -2, 5, 49, -10, -8 in ascending order. -10, -8, -2, 5, 49 Sort 3, -386, 3/5, -2, 5. -386, -2, 3/5, 3, 5 Put 0.04, -1/16, 12/29, -1/2 in decreasing order. 12/29, 0.04, -1/16, -1/2 Put 2, 1/2, 219, -7, 3/5 in increasing order. -7, 1/2, 3/5, 2, 219 Sort -2, 331, 61. -2, 61, 331 Sort 4, 2, 1, -351 in descending order. 4, 2, 1, -351 Sort -2, 2, 175, -162. -162, -2, 2, 175 Put -11, -2/5, 1.058, 0.21 in decreasing order. 1.058, 0.21, -2/5, -11 Put 4, -1/4, -1/5, 0.04 in increasing order. -1/4, -1/5, 0.04, 4 Put 0.8, 3, -69, -4/5, -13 in descending order. 3, 0.8, -4/5, -13, -69 Put 4, -23, 43 in increasing order. -23, 4, 43 Put 6210, -49, -10 in decreasing order. 6210, -10, -49 Put 2, 1, 17, -5, -12 in increasing order. -12, -5, 1, 2, 17 Sort 0.01, -2, -35, -1, 0.26 in increasing order. -35, -2, -1, 0.01, 0.26 Put -4, 2/31, 4, -14856 in descending order. 4, 2/31, -4, -14856 Sort 0.0624, 5, 11.9 in descending order. 11.9, 5, 0.0624 Sort 76, -25, -5, -2 in descending order. 76, -2, -5, -25 Sort 2, 13181, 10 in increasing order. 2, 10, 13181 Put 2, -2/825, 9/8, -14 in increasing order. -14, -2/825, 9/8, 2 Put -55, -2, 4, -1 in ascending order. -55, -2, -1, 4 Put -7, -264, -30, 0 in increasing order. -264, -30, -7, 0 Sort 2/3, -3/4, -3, 6, -44 in increasing order
{ "pile_set_name": "DM Mathematics" }
.9 Let d = -0.04 + 0.0832. Let j = -0.04 + d. Round j to 3 decimal places. 0.003 Let l = 81 - 51. Let p = l + -30.00152. Round p to four dps. -0.0015 Suppose 0*w + 3*w = 12. Suppose -5*g - w*o - o = -2749985, -2*g + 1100015 = -5*o. Round g to the nearest 100000. 600000 Let v = 10 + -6. Suppose -5633 = v*f + 4767. What is f rounded to the nearest one thousand? -3000 Let t = -54 - -53.9933. What is t rounded to three dps? -0.007 Let l = 0.1100012 + -0.11. What is l rounded to 6 dps? 0.000001 Let b = 36 - 10. Round b to the nearest 10. 30 Let g = -33 - -32.87. Let w = 26.646449 + -26.5163. Let c = w + g. Round c to 5 dps. 0.00015 Let x(c) be the third derivative of -1949*c**4/24 - c**3/3 + 3*c**2. Let p be x(2). What is p rounded to the nearest 1000? -4000 Let g(u) = u**3 - 6*u**2 - u + 4. Let b be g(5). Let m be (-6 - b)/(1/(-4)). Let w be (m/3)/(2/(-750)). Round w to the nearest ten thousand. 10000 Let z = 0 - 0.0007. What is z rounded to three decimal places? -0.001 Let c = -94 - -95.02. Let w = 5.84 + -6. Let j = c + w. Round j to 1 decimal place. 0.9 Let t(i) = 24501*i**3 - 9*i**2 - 10*i. Let l be t(10). What is l rounded to the nearest one million? 25000000 Let h = 606514 + -606506.000006. Let q = h + -8. What is q rounded to six dps? -0.000006 Let s = -25.99932 - -26. Round s to four dps. 0.0007 Let t = 37.999824 - 38. What is t rounded to five dps? -0.00018 Let g = 67 - 15. Let w = g - 51.9943. What is w rounded to 3 dps? 0.006 Let c = 1949762 + -1949767.000004. Let h = 5 + c. What is h rounded to 5 decimal places? 0 Suppose -4*o - 333516 = s - 21514, 2*o = -5*s - 156010. Round o to the nearest 10000. -80000 Let f = 4434 + 1221. Let i(u) = f*u + 0 - 5 + 346*u. Let o be i(5). Round o to the nearest ten thousand. 30000 Let g = 151.51721 - -12.90489. Let b = 0.3221 - g. Let v = b - -156. What is v rounded to the nearest integer? -8 Let f = -304125.3 - -304144.299985. Let w = 19 - f. Round w to 6 dps. 0.000015 Let c = 3478338853 - 3478338832.19999901. Let t = c + -20.8. What is t rounded to seven decimal places? 0.000001 Suppose 5*y + 3*o + 46 = 0, 4*y - o + 3*o = -36. Let x be y/(-28) - 649/(-7). Round x to the nearest ten. 90 Suppose 2*j - 4*l - 2326546 = -0*l, 2*l = 3*j - 3489823. Let c = 563275 - j. Round c to the nearest one hundred thousand. -600000 Let p = -158.0174 + 158. What is p rounded to 2 dps? -0.02 Let p = 27.38 - 27. Let l = -0.16 + p. What is l rounded to 1 decimal place? 0.2 Let w = -73 - -283. Round w to the nearest 100. 200 Let w = -11.029 + -0.271. Let z = 11.30000061 + w. Round z to 7 dps. 0.0000006 Let x = -2 + -3. Let h = 4.92 + x. What is h rounded to two decimal places? -0.08 Let u(z) = -z - 7. Let q be u(-10). Suppose 362425 + 2397575 = -q*i. Round i to the nearest one hundred thousand. -900000 Suppose -l = -p - 6600002, 4*l - 11 + 3 = 0. What is p rounded to the nearest 1000000? -7000000 Let x(u) = -71741*u**3 + 9*u**2 - 8*u + 10. Let a be x(-9). Round a to the nearest 1000000. 52000000 Let c = 19 + -11. Let l = 59 - c. Let t = l + -51.00058. Round t to four dps. -0.0006 Let o = -21.0000085 + 21. Round o to six dps. -0.000009 Let p = 19.71 + -20. What is p rounded to one decimal place? -0.3 Let x = -2.9 + 2.9227. What is x rounded to 3 decimal places? 0.023 Let h = -308179.240177 + 308245.24. Let i = -66 + h. What is i rounded to five dps? -0.00018 Let m = -171.99999853 - -172. Round m to seven dps. 0.0000015 Let v = 4 - 3.94. What is v rounded to 2 decimal places? 0.06 Suppose -948 = m - 5*o + 227, 4*m = o - 4605. What is m rounded to the nearest 100? -1200 Let v = 1014.99999433 + -1015. Round v to 6 decimal places. -0.000006 Let b = -0.0697664 + -22.6311636. Let v = -22.7 - b. What is v rounded to 4 decimal places? 0.0009 Let u = -0.41 - -0.01. Let d = -18.6 + u. Let k = 21.4 + d. What is k rounded to 0 dps? 2 Let d = -24 - -9. Let u = d - -14.9989. What is u rounded to three decimal places? -0.001 Let c(i) = 519999*i - 1. Let h be c(-1). Round h to the nearest one hundred thousand. -500000 Let s = 43 + -43.641. Let v = s - -0.67. Round v to two decimal places. 0.03 Let t be (-133554)/(-15) - 2/(-5). Let g be t/27 - (-4)/18. Round g to the nearest one hundred. 300 Let i = 21.06023 - 20.91022952. Let j = -0.15 + i. What is j rounded to seven dps? 0.0000005 Let f(r) = 799*r + 5. Let d(g) = g**3 + g**2 - 2*g - 1. Let s be d(-1). Let h be s/(-3 - (-16)/5). Let i be f(h). What is i rounded to the nearest 10000? 0 Let t = 0.05601382255 - 125.84162364255. Let h = t + 125.48561. Let q = 0.3 + h. What is q rounded to seven decimal places? 0.0000002 Let q = -11.028 - -10.8. Round q to 2 decimal places. -0.23 Suppose 6*b - 14415 = 3*b. Suppose -q = 5*d - b, -2*q + 12244 = 3*d + 2641. What is q rounded to the nearest 1000? 5000 Let w = -218 - -326. Let y = w + -108.00061. Round y to four decimal places. -0.0006 Let k = 137.3 - 144. What is k rounded to 0 dps? -7 Let u be 435/(-2) - 4/8. What is u rounded to the nearest ten? -220 Let z = 4 + -3.999997. Round z to five dps. 0 Let g = 13 + -12.05. Let i = g + -1. Round i to 2 decimal places. -0.05 Let l = -1.599 - -1.6. Let y = 3.5 + -3.50142. Let j = l + y. What is j rounded to 4 decimal places? -0.0004 Let p be (3 + (-63)/15)/(1/(-25000)). Round p to the nearest one hundred thousand. 0 Suppose -1 = -j - a, -5*j = -j + 5*a - 5. Suppose -3*q + j = -3. Let f be q*-1344*(2 + 3123). What is f rounded to the nearest 1000000? -4000000 Let z = -20.4 - -11.1. What is z rounded to 0 decimal places? -9 Suppose 16 = -2*d + 12. What is d rounded to 0 dps? -2 Let n = 2 - -11.3. Let q = n - 14. What is q rounded to 1 decimal place? -0.7 Let i = -24004.8067 + 23973.8. Let y = 31 + i. Round y to 3 dps. -0.007 Let j = -3 + 3.000221. Round j to 5 dps. 0.00022 Let a = -72 + 71.99768. Round a to 4 decimal places. -0.0023 Let m = 62 - 43.9. What is m rounded to zero decimal places? 18 Let l = -3 - -3. Let y = -1 - l. Let r be (-2 - y) + 9198/(-2). What is r rounded to the nearest 1000? -5000 Suppose -5*y + 9 = a - 3*y, 4*a + 3 = 5*y. Let n be 2 + 147 - a/(-3). What is n rounded to the nearest 100? 200 Let b(g) = -3*g - 1. Let j(d) = d**2 - 2*d + 1. Let z be j(2). Let w be b(z). Round w to the nearest ten. 0 Let s = 5 + -5. Suppose -5*c - 51145 + 556145 = s. Round c to the nearest 10000. 100000 Let l = -138.09093818 - -137.97594. Let c = l + 0.115. Round c to 7 decimal places. 0.0000018 Let a be (-3 + 11)*(-4 + -1). Let v be 4*(-5)/(a/402). What is v rounded to the nearest 10? 200 Let c(v) = -52*v - 2. Let x(h) = -104*h - 4. Let b(a) = 5*c(a) - 3*x(a). Let n = 5 - 1. Let w be b(n). Round w to the nearest one hundred. 200 Suppose -2*m + 4*j - 604 = 0, 4*j + 497 = -2*m - 99. Round m to the nearest one thousand. 0 Let b = -1.0006 - -1. Round b to 3 dps. -0.001 Let d = 15.91 - -0.49. Let p = -143.4 + d. Let l = 127.0000079 + p. Round l to six decimal places. 0.000008 Let v = 33323963.00181 - 33323541. Let d = -422 + v. What is d rounded to four dps? 0.0018 Let g = 5.9 + -5.833. What is g rounded to two dps? 0.07 Let y = 292.000000346 - 292. What is y rounded to seven decimal places? 0.0000003 Let u = 68.6 - 90. Let t = u + 21.634. What is t rounded to two dps? 0.23 Suppose 2*x - 12800000 = 4*b, 3*b - 5*x + 6400000 = b. Round b to the nearest one million. -3000000 Let u = 3.8 + -3. Let v = 444 + -443.244. Let h = u - v. Round h to 2 dps. 0.04 Let m = -0.317 - -0.5. What is m rounded to 2 dps? 0.18 Suppose -5*z + 4*n + 7158 = 45836, -2*n - 30932 = 4*z. Let r = z + 4634. What is r rounded to the nearest one thousand? -3000 Let s = 7 + -7.12. Let r = 0.1186 + s. What is r rounded to three decimal places? -0.001 Let m = 6.7 + 1.3. Let d = -8.003 + m. What is d rounded to two decimal places? 0 Let q be (-290946636)/21 - (-4)/(-14). Let b = q - -19854602. What is b rounded to the nearest 1000000? 6000000 Let g(i) = -474999*i**3 - 3*i - 2. Let b be g(-1). Round b to the nearest ten thousand. 480000 Let s = -0.15 - 5.85. Let y = s + 6.023. What is y rounded to two dps? 0.02 Let d = 637672 + 2071685. Let u = 2709355.019913 - d. Let x = u + 1.98. What is x rounded to 5 dps? -0.00009 Let r = -0.6 - -2.3. Let j = r + -1.7000069. What is j rounded to 6 dps? -0.000007 Let w(t) = -42*t**3 + 7*t**2 - 7*t - 8. Supp
{ "pile_set_name": "DM Mathematics" }
de (h/4)/(3/(-12))? False Let h be ((-45)/(-18))/(1/(-2)). Is 7 a factor of (h/3)/(7/(-105))? False Suppose 0 = -3*n + 4*n + l - 21, 5*n - l = 117. Is n a multiple of 23? True Let o = 249 + -214. Does 5 divide o? True Let h(j) = j - 6. Let t be h(8). Suppose -160 = -6*w + t*w. Is w a multiple of 20? True Let r = -4 + 6. Let h(n) = 8*n**2 - 2*n. Let z be h(r). Suppose -p - 4*w = -z, -3*p = -2*w - 0*w - 56. Is p a multiple of 15? False Let a = -28 - -19. Is 5 a factor of 2 - a/(6 - 3)? True Suppose 3*h - 2*s - 521 = 0, s - 2*s - 348 = -2*h. Does 35 divide h? True Suppose -4 = -t - 12. Let h = t - 0. Is 11 a factor of h/(-5)*75/10? False Suppose 4*r - 2*u = -3*u + 985, -r = 4*u - 265. Is 48 a factor of r? False Let b(d) = -5*d**2 + d**3 + 6 - 3*d + d - 2*d. Suppose 0 = a - 0 - 6. Does 15 divide b(a)? False Let a(l) = l + 62. Let r be a(0). Suppose 0 = 5*n - n + 156. Let t = r + n. Does 16 divide t? False Let i(f) = -10*f**2 - f - 8 - 4 + 2*f**3 - f**3. Let o(b) = -3*b**3 + 29*b**2 + 3*b + 35. Let j(t) = 11*i(t) + 4*o(t). Does 7 divide j(6)? True Let h = -5 + 7. Suppose -k + h + 0 = 0. Is 1 - 2 - k*-10 a multiple of 10? False Let b(u) = 4*u**2 + 2*u**2 + 8*u - 2 - 3*u + u**3 + 0*u**3. Is 3 a factor of b(-4)? False Let y be -3 - -4*(-3)/(-2). Suppose -4*b - 2*l = -l - 119, 2*b - y*l = 63. Is 20 a factor of (-4)/(-10) + 1458/b? False Let c(r) = -2*r**3 - 4*r**2 - r + 1. Is c(-3) a multiple of 22? True Let k = -43 + 26. Let u = 31 + k. Suppose 0 = 2*y + u - 54. Is 10 a factor of y? True Let j(g) be the first derivative of g**6/180 - g**5/120 + 2*g**3/3 + 2. Let z(h) be the third derivative of j(h). Is z(-1) a multiple of 3? True Suppose u + 1 = 26. Does 7 divide u? False Suppose 3*y - 5*i - 6 = 9, 4*y - 4*i = 20. Suppose y*v + 3*w = 14, -2*v - w - 2 = -7*v. Is -40*(v - (-21)/(-15)) a multiple of 8? True Does 2 divide (-6)/(1/2*-2)? True Let q be ((-2)/(-6))/(3/441). Suppose 0 = -m + q + 11. Is m a multiple of 15? True Let s(b) = 12*b. Is s(3) a multiple of 6? True Suppose -2*p + 5*k = -20, p + 4*k = 6*p - 33. Suppose -c = 2 - p. Suppose c*a - 103 = -22. Is 15 a factor of a? False Suppose -3*v + 110 = 2*d, d + 106 = 3*d + 2*v. Is d a multiple of 7? True Suppose -4 = 2*r + 2*u, 3*u - 4*u = 3*r + 2. Suppose -f = -r - 4. Is f a multiple of 2? True Is 7718/85 - 4/5 a multiple of 10? True Let b be -2 + 1 + 58 + 2. Suppose 0 = n - 4*m - b, 59 = n + 3*m + m. Does 11 divide n? False Let q(a) = a**2 + 13*a + 4. Let b be q(-13). Let h = b + 12. Is 4 a factor of h? True Let t be 5 + 1 + -3 + 31. Let m = 0 + t. Is 24 a factor of m? False Let g be (-1)/4 + 802/8. Let h = g + -35. Suppose -2*z = -5*v + 5, -3*z = 2*z + 3*v - h. Is z a multiple of 10? True Let p(i) = 6*i**3 - i**2 + i - 1. Is p(1) a multiple of 4? False Suppose -c + 93 - 16 = 0. Is 18 a factor of c? False Let p = 13 - 14. Is 282/6 + p + 1 a multiple of 13? False Suppose 4*s - f = s + 64, 3*s - 68 = 2*f. Is s a multiple of 10? True Is (3/2 + -2)*-30 a multiple of 5? True Suppose -y + 2*y - 20 = 0. Suppose 3*o - y = -2*o. Is o a multiple of 2? True Suppose k - 13 = -3*n - 0*n, -4*k = -5*n + 16. Let o(q) = q**3 - 23*q**2 - 24*q. Let h be o(24). Suppose h = -n*v + 19 + 101. Is v a multiple of 21? False Let m be 72/3*(-3)/6. Does 16 divide -1*16/6*m? True Let m be (-3880)/(-130) - (-2)/13. Suppose 3*a - v - m = 0, -4*a - 36 = -7*a - v. Does 3 divide a? False Suppose 0 = 5*z + 3*r - 27, z + z = 3*r - 6. Let c(l) = l**3 - l**2 + 4. Is c(z) a multiple of 11? True Let t(w) = w**3 + 8*w**2 + 3*w - 5. Let s be -1*(-2 - 0) - 7. Does 27 divide t(s)? False Is 12 a factor of (-3)/(1/2*2) - -87? True Let k = 9 - -21. Let o be ((-40)/6)/((-4)/k). Suppose -20 = -5*f + o. Is 7 a factor of f? True Let c(h) = -2*h - 2. Let g be c(-5). Let q(f) = 5*f + 5. Is 17 a factor of q(g)? False Let g(h) = -h**3 + 7*h**2 + 9*h + 1. Does 2 divide g(8)? False Suppose 0 = 5*h - 5*c + 12 + 33, 2*h = c - 15. Let l(p) = -p**3 - 4*p**2 + 6*p. Is l(h) a multiple of 19? False Let z = -13 + 19. Suppose -486 = z*k - 3*k. Is 3 a factor of k/(-24) - (-2)/8? False Suppose -215 = -2*s - 3*r, 3 + 1 = 4*r. Is 27 a factor of s? False Is 2/4 + 1780/40 a multiple of 9? True Suppose 7*d + 3*f = 2*d + 23, -3*d + 9 = -3*f. Let b = -1 + d. Is b a multiple of 3? True Suppose 372 = 3*m - 3*h - 63, h + 292 = 2*m. Suppose 0*d = -3*d + m. Does 10 divide d? False Suppose 14*s - 12*s - 168 = 0. Does 13 divide s? False Is 1 + 0 + (0/(-3) - -77) a multiple of 26? True Let y(l) = -l**3 + 6*l**2 + l + 4. Let s be y(5). Does 7 divide s + (5 + -3)/(-2)? False Suppose 2*m - 62 = 4*i, 4*i - 5*i + 1 = 0. Is 28 a factor of m? False Suppose 260 = 3*t + 4*d, -5*t + 10 = -5*d - 435. Does 22 divide t? True Let p(v) = -v - 3. Does 3 divide p(-12)? True Suppose 215 = 4*v - 265. Does 12 divide v? True Does 12 divide 248/(-12)*(-3)/2? False Let i = -326 - 206. Let q be 6/18 - i/6. Suppose -229 = -5*z - q. Is z a multiple of 14? True Suppose -4*a - 8 = 4*g, 3*g + g = -20. Let t be (-10)/6*-1*a. Is (20/3)/(t/15) a multiple of 7? False Let d be 3*1*(2 - 1). Suppose 5*h - g - 12 = 6, -h + d*g + 12 = 0. Suppose 3*n + 3 = k + 2, 0 = -2*k + h*n + 5. Is 3 a factor of k? False Let v = 9 - 15. Let x = 20 - v. Suppose -2*k + 4*k - x = 0. Is k a multiple of 12? False Let y = 12 - 6. Suppose 56 = d + y. Does 16 divide d? False Let g = -2 + 12. Does 5 divide g? True Is 6/3*1 - -18 a multiple of 10? True Suppose -8*s = -215 - 449. Is s a multiple of 13? False Suppose 3*u + 5 = 4*u. Suppose 2*c + 2*v = v + 60, 0 = u*c - 3*v - 150. Does 10 divide c? True Let x be 13*-41 + 3 + -6. Is 16 a factor of x/(-12) + (-2)/(-6)? False Let i(c) = -c**3 + 7*c**2 + 8*c - 1. Let y be i(8). Let q be ((-5)/2)/(y/(-8)). Is 4 a factor of (q/(-25))/((-2)/(-10))? True Let a = 136 - 94. Is a a multiple of 3? True Let m = -103 - -151. Suppose 4*x = 8*x - m. Does 6 divide x? True Suppose 0 = -3*p - 9, 3*m + 3*p = 4*m - 113. Is 26 a factor of m? True Let i = 37 - 21. Is i a multiple of 9? False Let s be (-18)/(-3)*(-17)/(-2). Suppose -3 = -2*r + s. Is 9 a factor of r? True Let q be (113 - -2)/1 + -2. Suppose 3*n + 5 = q. Is n a multiple of 11? False Suppose x = 5*y + 2 - 4, -3*y + 12 = 3*x. Is 16 a factor of (81/18)/(x/32)? True Suppose -4*o = d - 173, -4*o - 552 = -3*d - 5*o. Is d a multiple of 37? True Let p = 20 - 15. Does 3 divide p? False Suppose 12 = -2*k + 4*r, -k - 3*r - 9 = -6*r. Suppose -2*j + k*j = -20. Is j a multiple of 9? False Let k be 6/9 + (-2)/3. Is 12 a factor of 35 + 1/(k - -1)? True Let t(w) = 4*w. Suppose -2*o = 3 - 9. Is 6 a factor of t(o)? True Let d(a) = -a**3 - 7*a**2 - a - 10. Let z be d(-7). Is 12 - 1 - (z - 0) a multiple of 14? True Suppose -12 = -4*c + 72. Suppose -4*k + 3 + c = 0. Is k a multiple of 3? True Suppose 0 = b + y + 8, 3*b + 0*y + 29 = -4*y. Let p be (b - (-1 - 0)) + 4. Suppose p*o - 12 = -o. Does 3 divide o? False Suppose a - 3 = 5*x - 11, 0 = 5*x - 5. Let r = a - 6. Let u(h) = h**3 + 8*h**2 - 11*h + 9. Is u(r) a multiple of 27? True Let a = 2 + 1. Suppose -a*x - x = -228. Is x a multiple of 18? False Let r be 130 + -2*(-1)/2. Let v = r - 66. Is v a multiple of 23? False Suppose -576 + 2512 = 5*k + g, k = -3*g + 376. Is k a multiple of 37? False Let a be (20/(-8))/(2/(-8)). Suppose 4*t - a - 6 = 0. Is 2 a factor of t? True Let s = 4 + 12. Is 9 a factor of s? False Let k(f) = f**2 + 4. Let y(x) = -x**2 + 15*x. Let w be y(15). Does 2 divide k(w)? True Let i(l) = l**2 + 1. Let t be i(-2). Let v = t - 5. Is -2 + v + 40/4 a multiple of 3? False Suppose -19*s = -1599 + 478. Is 18 a factor of s? False Let q = 14 - -96. Is q a multiple of 10? True Let x(v) be the first derivative of 3*v**2/2 + v - 3. Does 10 divide x(3)? True Let t(q) = 2*q - 1. Let h be t(3). Suppose -263 = -5*r + 4*c, -4*c - 154 = -4*r + 54. Suppose -2*w - h*a = -r, a + 0 = 3. Is w a multiple of 20? True Let o(t) = 5*t**2 - t. Suppose 2 + 6 = 2*r. Suppose r*d - 2 = -3*l, 3*d - 2*l = -d + 12. Is 9 a factor of o(d)? True Let n be 134/(-4) - 6/(-4). Let i be 2/(-3) + (-492)/(-9). Let v = n + i. Is v a multiple of 11? True Let b(i) = 6*i**2 + 1. Let y = 6 - 8. Let r be b(y). Let t = r + -13. Is 12 a factor of t? True Let n(r) = r**2. Let h(z) = 2*z**2 - 6*z + 8. Let g(j) = h(j) - 3*n(j). Is 8 a factor of g(-6)? True S
{ "pile_set_name": "DM Mathematics" }
e the remainder when 1885 is divided by 126. 121 Calculate the remainder when 8553 is divided by 7. 6 What is the remainder when 1448 is divided by 63? 62 Calculate the remainder when 108 is divided by 10. 8 Calculate the remainder when 28 is divided by 10. 8 What is the remainder when 55 is divided by 36? 19 What is the remainder when 268 is divided by 79? 31 Calculate the remainder when 514 is divided by 158. 40 Calculate the remainder when 213 is divided by 37. 28 Calculate the remainder when 410 is divided by 2. 0 What is the remainder when 335 is divided by 98? 41 Calculate the remainder when 697 is divided by 138. 7 What is the remainder when 2261 is divided by 27? 20 Calculate the remainder when 6273 is divided by 25. 23 What is the remainder when 342 is divided by 108? 18 What is the remainder when 2395 is divided by 51? 49 Calculate the remainder when 2563 is divided by 17. 13 Calculate the remainder when 312 is divided by 29. 22 What is the remainder when 2191 is divided by 43? 41 What is the remainder when 2088 is divided by 38? 36 What is the remainder when 1150 is divided by 33? 28 Calculate the remainder when 675 is divided by 10. 5 Calculate the remainder when 124 is divided by 26. 20 What is the remainder when 50 is divided by 5? 0 What is the remainder when 32 is divided by 19? 13 What is the remainder when 317 is divided by 20? 17 Calculate the remainder when 132 is divided by 68. 64 Calculate the remainder when 230 is divided by 11. 10 Calculate the remainder when 3555 is divided by 74. 3 What is the remainder when 1483 is divided by 642? 199 What is the remainder when 399 is divided by 84? 63 Calculate the remainder when 115 is divided by 10. 5 What is the remainder when 155 is divided by 7? 1 Calculate the remainder when 1734 is divided by 36. 6 What is the remainder when 145 is divided by 16? 1 Calculate the remainder when 2171 is divided by 41. 39 Calculate the remainder when 3607 is divided by 82. 81 Calculate the remainder when 762 is divided by 4. 2 Calculate the remainder when 28 is divided by 10. 8 What is the remainder when 2297 is divided by 128? 121 What is the remainder when 2512 is divided by 499? 17 Calculate the remainder when 164 is divided by 56. 52 Calculate the remainder when 529 is divided by 264. 1 What is the remainder when 1491 is divided by 9? 6 Calculate the remainder when 6488 is divided by 7. 6 Calculate the remainder when 519 is divided by 230. 59 What is the remainder when 532 is divided by 178? 176 What is the remainder when 662 is divided by 97? 80 Calculate the remainder when 84 is divided by 13. 6 Calculate the remainder when 561 is divided by 182. 15 Calculate the remainder when 6228 is divided by 67. 64 What is the remainder when 71 is divided by 31? 9 Calculate the remainder when 1537 is divided by 20. 17 Calculate the remainder when 143 is divided by 38. 29 What is the remainder when 802 is divided by 18? 10 What is the remainder when 897 is divided by 9? 6 Calculate the remainder when 500 is divided by 14. 10 Calculate the remainder when 237 is divided by 22. 17 Calculate the remainder when 200 is divided by 21. 11 Calculate the remainder when 1741 is divided by 26. 25 What is the remainder when 2432 is divided by 1210? 12 Calculate the remainder when 499 is divided by 49. 9 Calculate the remainder when 931 is divided by 135. 121 Calculate the remainder when 2374 is divided by 216. 214 What is the remainder when 268 is divided by 17? 13 Calculate the remainder when 323 is divided by 66. 59 Calculate the remainder when 3699 is divided by 5. 4 Calculate the remainder when 119 is divided by 20. 19 What is the remainder when 7 is divided by 1? 0 Calculate the remainder when 11663 is divided by 12. 11 What is the remainder when 514 is divided by 86? 84 Calculate the remainder when 7985 is divided by 7. 5 What is the remainder when 887 is divided by 273? 68 What is the remainder when 215 is divided by 36? 35 Calculate the remainder when 2782 is divided by 29. 27 Calculate the remainder when 1758 is divided by 32. 30 What is the remainder when 753 is divided by 27? 24 Calculate the remainder when 998 is divided by 11. 8 What is the remainder when 186 is divided by 47? 45 Calculate the remainder when 13156 is divided by 86. 84 Calculate the remainder when 2617 is divided by 22. 21 Calculate the remainder when 659 is divided by 652. 7 What is the remainder when 47828 is divided by 149? 148 Calculate the remainder when 2057 is divided by 38. 5 What is the remainder when 248 is divided by 25? 23 What is the remainder when 513 is divided by 93? 48 What is the remainder when 154 is divided by 19? 2 Calculate the remainder when 346 is divided by 122. 102 What is the remainder when 404 is divided by 81? 80 Calculate the remainder when 899 is divided by 101. 91 Calculate the remainder when 401 is divided by 29. 24 Calculate the remainder when 661 is divided by 5. 1 Calculate the remainder when 64 is divided by 28. 8 Calculate the remainder when 86 is divided by 46. 40 What is the remainder when 1246 is divided by 26? 24 What is the remainder when 328 is divided by 80? 8 Calculate the remainder when 1062 is divided by 28. 26 Calculate the remainder when 187 is divided by 21. 19 Calculate the remainder when 2463 is divided by 189. 6 What is the remainder when 230 is divided by 17? 9 What is the remainder when 1391 is divided by 48? 47 Calculate the remainder when 236 is divided by 42. 26 What is the remainder when 385 is divided by 187? 11 Calculate the remainder when 252 is divided by 52. 44 Calculate the remainder when 883 is divided by 52. 51 Calculate the remainder when 2885 is divided by 59. 53 Calculate the remainder when 40 is divided by 15. 10 What is the remainder when 71 is divided by 41? 30 Calculate the remainder when 643 is divided by 38. 35 What is the remainder when 1765 is divided by 199? 173 Calculate the remainder when 141 is divided by 71. 70 Calculate the remainder when 44516 is divided by 168. 164 Calculate the remainder when 831 is divided by 263. 42 What is the remainder when 1556 is divided by 52? 48 Calculate the remainder when 373 is divided by 193. 180 What is the remainder when 1264 is divided by 6? 4 Calculate the remainder when 38 is divided by 31. 7 Calculate the remainder when 140 is divided by 37. 29 Calculate the remainder when 26503 is divided by 171. 169 What is the remainder when 125 is divided by 96? 29 What is the remainder when 140 is divided by 59? 22 What is the remainder when 85516 is divided by 19? 16 What is the remainder when 6417 is divided by 107? 104 Calculate the remainder when 16691 is divided by 33. 26 Calculate the remainder when 194 is divided by 79. 36 Calculate the remainder when 321 is divided by 59. 26 Calculate the remainder when 4695 is divided by 98. 89 What is the remainder when 53 is divided by 7? 4 Calculate the remainder when 1547 is divided by 11. 7 What is the remainder when 20 is divided by 5? 0 Calculate the remainder when 36 is divided by 3. 0 What is the remainder when 1174 is divided by 42? 40 What is the remainder when 7198 is divided by 48? 46 What is the remainder when 9257 is divided by 20? 17 Calculate the remainder when 470 is divided by 41. 19 What is the remainder when 482 is divided by 151? 29 What is the remainder when 3704 is divided by 34? 32 Calculate the remainder when 1422 is divided by 486. 450 Calculate the remainder when 1952 is divided by 115. 112 Calculate the remainder when 21619 is divided by 235. 234 What is the remainder when 1277 is divided by 5? 2 Calculate the remainder when 27 is divided by 6. 3 What is the remainder when 755 is divided by 20? 15 Calculate the remainder when 436 is divided by 55. 51 Calculate the remainder when 65 is divided by 16. 1 Calculate the remainder when 882 is divided by 46. 8 What is the remainder when 1710 is divided by 832? 46 Calculate the remainder when 3 is divided by 3. 0 What is the remainder when 836 is divided by 72? 44 What is the remainder when 221 is divided by 16? 13 What is the remainder when 202 is divided by 73? 56 Calculate the remainder when 81224 is divided by 45. 44 Calculate the remainder when 3536 is divided by 58. 56 What is the remainder when 390 is d
{ "pile_set_name": "DM Mathematics" }
)/k**6 assuming k is positive. k**(-73/10) Simplify (p**(-7/4))**(-1/10) assuming p is positive. p**(7/40) Simplify w**(1/4)/(((w**(-2/3)*w)/w)/w)*w*w*w/(w**(-2/11)/w*w*w)*w*(w*w/(w/w**3))/w*w assuming w is positive. w**(1201/132) Simplify (k**(-4/3)/((k*k/(k**(-7)*k))/k))**(-4/11) assuming k is positive. k**(100/33) Simplify (a*a**(-1)/a)**(-15)/(a/a**0)**(-6/11) assuming a is positive. a**(171/11) Simplify ((h*h/((h**4/h)/h))/h**(-3/5))/(h**(-3/4)*h**0) assuming h is positive. h**(27/20) Simplify (l*l**2*((((l/l**(-3/10)*l)/l*l)/l)/l)/l)**(-27) assuming l is positive. l**(-621/10) Simplify (r**(-2))**(7/2)/(r**(-2/5)/r**(-9)) assuming r is positive. r**(-78/5) Simplify x**17*x**(10/11) assuming x is positive. x**(197/11) Simplify v*v**2*v*v**(1/7)*(v**1*v)/v**5 assuming v is positive. v**(8/7) Simplify (l/l**(2/7))/l**(1/3)*l**(2/5)/l**(3/5) assuming l is positive. l**(19/105) Simplify h**(-10/9)*h*h/(h/(h/(h*h*h**28*h*h*h)))*h assuming h is positive. h**(-280/9) Simplify c**(-1)/c**(7/4) assuming c is positive. c**(-11/4) Simplify (h**(2/71))**38 assuming h is positive. h**(76/71) Simplify b**12*(b*b/(b*b*b**(-7)*b)*b*b*b)/b*b assuming b is positive. b**21 Simplify (d*d*d**0*d*d*d*d*d)**24/((d/d**(-4))/d*d*d**(-4/3)*d) assuming d is positive. d**(490/3) Simplify (p/p**(-2/3)*p**2)**12 assuming p is positive. p**44 Simplify (q**(-17)/q**(-2/13))**(-1/2) assuming q is positive. q**(219/26) Simplify (x/(x/((x**(-1/5)*x)/x)))**(1/23)*x/x**2*x**(-4) assuming x is positive. x**(-576/115) Simplify (m**7/((m/(m*m*m**(2/23)*m*m))/m))/(m**(-2/3)*m)**(-1/2) assuming m is positive. m**(1553/138) Simplify g**31*g**(-5/6) assuming g is positive. g**(181/6) Simplify (j**(4/7)*j*j*j)/j**(-4) assuming j is positive. j**(53/7) Simplify (i**(-19/4)/i)**(-45) assuming i is positive. i**(1035/4) Simplify ((v**(1/2)*v)**(-2/3))**29 assuming v is positive. v**(-29) Simplify (d*d**(-34)/d*d)/d*d*d**(-8) assuming d is positive. d**(-41) Simplify ((t/(t*t**(12/5)/t)*t*t)/t)**(10/7) assuming t is positive. t**(-4/7) Simplify (o**(1/3)*o**(2/7)/o*o)/(o/o**6*o*o**(-2/11)/o) assuming o is positive. o**(1340/231) Simplify (h*h*h**(-30)/h)**7 assuming h is positive. h**(-203) Simplify j**8*j**(1/2)*j**(2/3)/(j/(j*j*j*j*j**(4/3))*j) assuming j is positive. j**(25/2) Simplify r**(-9/11)*r**(-5) assuming r is positive. r**(-64/11) Simplify (n*((n/((n**(-1/2)*n)/n))/n)/n*n)**(-39)/(n**(3/7)*n*n/(n/(n*n/((n/(((n/(n/(n/(n/n**(2/3)*n))))/n)/n))/n)*n)*n)*n*n) assuming n is positive. n**(-2587/42) Simplify (w**(2/7))**(-6/5)/(w**(2/15)*w**(-3/11)) assuming w is positive. w**(-47/231) Simplify (s*s*s**(-34))/(s**(-1/10)/s) assuming s is positive. s**(-309/10) Simplify (r*r/(r*r*r**(-4)/r))/(r*(r**(5/3)*r)/r)*r**8/(r**(-1)/r*r) assuming r is positive. r**(34/3) Simplify l/(l/l**(3/8))*l**4 assuming l is positive. l**(35/8) Simplify (o/(((o**(1/3)*o)/o)/o))/o*o*o**4 assuming o is positive. o**(17/3) Simplify (o**0/o)**(2/13) assuming o is positive. o**(-2/13) Simplify w*w/w**(3/13)*w*w*(w*w**1)/w assuming w is positive. w**(62/13) Simplify (d/(d*d**(6/7)))/(d*d**(-5))*d*d*d*d/(d*d**(2/25))*d*d*d**(4/5)/d*d*d*d assuming d is positive. d**(1901/175) Simplify (k**12)**(-9) assuming k is positive. k**(-108) Simplify (d**2)**47/(d*d**(-2))**(1/22) assuming d is positive. d**(2069/22) Simplify t/(t/(t*t*t**(10/7)))*((t**4/t)/t)/t*t*t*t assuming t is positive. t**(52/7) Simplify (u**(-2/7))**(2/23)*(u/u**2)/u**(-2/7) assuming u is positive. u**(-17/23) Simplify i**(-1)/(i/(i/(i**(-2/7)*i)))*(i**(2/3)*i*i)/(i**(-1)*i) assuming i is positive. i**(20/21) Simplify (r*r**0)**22 assuming r is positive. r**22 Simplify (b*b/(b/b**(3/4))*b*b*b*b)/b**39 assuming b is positive. b**(-133/4) Simplify ((n/(n*n**(-2/7)*n))**(-43))**(-30/13) assuming n is positive. n**(-6450/91) Simplify (l/(l**(-1)*l))**32 assuming l is positive. l**32 Simplify (k*k*k**0)**(-5/3)*k*k*k/k**(1/2)*k*k**(-4) assuming k is positive. k**(-23/6) Simplify ((((w*w**(-16))/w*w)/w)/(w*w**(-2/11)*w*w))**(1/53) assuming w is positive. w**(-207/583) Simplify w**(-19)*w/(w**(-3/22)/w)*w*w assuming w is positive. w**(-327/22) Simplify (k*k**(-14))**(10/11) assuming k is positive. k**(-130/11) Simplify ((q/q**8)/(q/(q/q**6)))/(q**1)**(-2/5) assuming q is positive. q**(-63/5) Simplify (m/(m*m**(3/2)))/(m**(-9/4)*m) assuming m is positive. m**(-1/4) Simplify h**(-1)*h*h**(-15/7) assuming h is positive. h**(-15/7) Simplify (a**(-6))**18 assuming a is positive. a**(-108) Simplify (a**(2/7)/(a**(2/11)/a))**43 assuming a is positive. a**(3655/77) Simplify ((g*g**(-19))/g**4)**19 assuming g is positive. g**(-418) Simplify a*a**(1/3)*a*a**(-2/5)/a*(a/(a/(a*a*a/(a**(-9)/a)*a)))/a**(1/5) assuming a is positive. a**(221/15) Simplify (n/(n**(-3)/n)*n**(2/15))**(-6/13) assuming n is positive. n**(-154/65) Simplify (h/(h/(h**(-1/16)*h)))**22 assuming h is positive. h**(165/8) Simplify (p**(-2/3)/p)**(5/16)/(p*(p/((p*p/(p*(p/(p/((p/(p**(-1/3)*p))/p*p)*p))/p*p))/p*p*p*p))/p*p**0*p) assuming p is positive. p**(55/48) Simplify ((((h/(h*(h/(h*h**3/h))/h*h))/h)/h)/h)**17/(h**(-2/9))**(-3/26) assuming h is positive. h**(-664/39) Simplify (l**6/l)/l*l**(1/2)*l**(-3)*l*l**(-1/5)*l*l assuming l is positive. l**(43/10) Simplify (p**(-1/3)/p)**(-2) assuming p is positive. p**(8/3) Simplify ((b*(b/(b/(b*b**(5/4)))*b)/b*b)/(((b/b**(-7))/b)/b*b*b))**(-6/11) assuming b is positive. b**(45/22) Simplify x**(-1/28)/(x/(x/x**(2/5)*x)) assuming x is positive. x**(79/140) Simplify (f*f/f**(3/5))**(24/5)/(f*f/(f/(f/f**(-1)*f*f)*f)*f)**(2/95) assuming f is positive. f**(3142/475) Simplify (h**(-1/2)*h*h)**41 assuming h is positive. h**(123/2) Simplify f/(f**3/f)*f*f**(-3/5)/f*f**(6/5)/(f/(f*(f/(f**0*f*f)*f)/f)) assuming f is positive. f**(-7/5) Simplify (p*p**(-5)*((p*p**(-1/3)*p)/p)/p)/(p*p**(-6)*(p/(p**(-5)*p))/p) assuming p is positive. p**(-10/3) Simplify ((y*y*y**(-2))/(y*y**3*y))**(-4) assuming y is positive. y**20 Simplify r*r*(r/(r*r**(-8)))/r*r/(r*r**(-3)/r)*(r/r**(2/7))**(-30/13) assuming r is positive. r**(1033/91) Simplify v*v**14*v/(v**(-4/7)/v) assuming v is positive. v**(123/7) Simplify (((x/(x/(x/x**18)))/x)/x)**39 assuming x is positive. x**(-741) Simplify t/t**16*t/(t/(t*t**(2/3)/t)) assuming t is positive. t**(-43/3) Simplify (c**6/(c/(c/(c**(-7)*c))))/(c*c*c/(c*c/(c**(2/5)*c))*c)**(-12) assuming c is positive. c**(264/5) Simplify v**(-4/5)*v**(-39) assuming v is positive. v**(-199/5) Simplify (u**(3/7)/u)/(u*u/u**(-1/2)*u*u)*u**(2/3)*((u**(1/4)*u*u)/u)/u assuming u is positive. u**(-349/84) Simplify (x**(-2/9)*x)**(1/19)*((x/x**(-7/5))/x)/x**(1/12) assuming x is positive. x**(4643/3420) Simplify (s*s*(s/s**11)/s*s**(3/10)*s)/(s*s/((s**(-7)*s)/s*s)*s*s*(s**4/s)/s*s) assuming s is positive. s**(-207/10) Simplify (l**(-2/21)/l**(-7/4))**(-2/11) assuming l is positive. l**(-139/462) Simplify (n*n/(n/n**(2/15)))/((n/(n/n**(2/9)))/n) assuming n is positive. n**(86/45) Simplify x**19/((x**(5/4)/x)/x) assuming x is positive. x**(79/4) Simplify u**(1/3)/(u*u**0)*(((u*u*u*u*u/u**(4/5)*u*u*u*u)/u*u)/u)/(u*u**(2/7)*u) assuming u is positive. u**(446/105) Simplify v*v/(v*v**(-7)/v*v)*v*v**3*v*v*v assuming v is positive. v**15 Simplify m**(1/5)*m**(-2/17) assuming m is positive. m**(7/85) Simplify n/(n**(2/43)*n)*n*n*n**(4/17) assuming n is positive. n**(1600/731) Simplify (w*w**0)**(-1/14)*(w/((w*w**1)/w))/w**4 assuming w is positive. w**(-57/14) Simplify (s**(5/4)/(s*s**5))**(-27) assuming s is positive. s**(513/4) Simplify (((u*((u/((u*u**(2/5))/u))/u)/u)/u)**(-14))**(-2) assuming u is positive. u**(-196/5) Simplify h**20/(h*h*(h/h**(-12/7)*h)/h) assuming h is positive. h**(107/7) Simplify (d**(1/26)*d)/d**(2/33) assuming d is positive. d**(839/858) Simplify (y**(-8)/y*y**(-4/9))/(y/y**(-6)*y/(y*(y/(y**(-6)*y*y))/y*y)) assuming y is positive. y**(-103/9) Simplify k**(-23)*k*(k*k*k/(k/((k/(k/((k/(k*k*k**(-13/4)*k*k*k))/k)*k))/k)*k))/k assuming k is positive. k**(-103/4) Simplify ((d/d**(4/7))/(d/d**(2/5)))**(-5/9) assuming d is positive. d**(2/21) Simplify (z*z**(-4/17))/z**(-2/27) assuming z is positive. z**(385/459) Simplify (d*(d/(d*(d**(1/4)*d)/d))/d*d)/((d/d**(10/7)*d)/d)*d**(-7)/d*d/(d**(-3)/d) assuming d is positive. d**(-51/28) Simplify b**(-3)*b**(2/5)*b
{ "pile_set_name": "DM Mathematics" }
n denominator of 29/10 and d + (46/22 - 0)? 110 Let f = 765/286 + -59/13. Find the common denominator of f and 109/14. 154 Let f be (-5)/(-2)*2/5. Let x = 6 + f. Calculate the smallest common multiple of x and 2. 14 Let n = 125 + -111. Let a(p) = -p**3 - 4*p**2 - 2*p + 3. Calculate the least common multiple of n and a(-4). 154 Suppose -4*i - 43 - 47 = -5*b, -4*i = 2*b - 8. What is the lowest common multiple of 20 and b? 140 What is the least common multiple of 5 and -2 + 9 + 3/(6/(-4))? 5 What is the common denominator of -11/8 and (-67*(1 + 0))/64? 64 Let s be 10/3*(-6)/(-2). Let k = s + -6. Let v(h) = -h**2 + 5*h - 2. What is the least common multiple of v(3) and k? 4 Suppose 5*z = 3*p + 27, 5*z = -4*p - 1 - 0. What is the lowest common multiple of 6 and z? 6 Let u(i) be the third derivative of 7*i**5/20 + i**3/6 - 3*i**2. Calculate the least common multiple of u(1) and 18. 198 Let q(t) = t**3 + 2*t**2 - 3*t - 2. Let o be q(-4). Let a = 44 + o. Suppose 60 = 2*r - 4*h, -4*h - 57 = -5*r + 69. What is the least common multiple of r and a? 22 Let x(n) = -3014*n**2 + 10*n + 9. Let u be x(-9). Let t be 1/1 + u/(-66). Let w = t + -3702. What is the common denominator of w and 39/22? 22 Let r(a) = -2*a + 2. Let s be r(1). What is the lowest common multiple of 22 and (-1 - -4) + s + 17? 220 Let k = -1779 + 767. Let x = k - -1961/2. What is the common denominator of x and 4/6 - (-97)/(-6)? 2 Suppose f = -6*f + 84. Find the common denominator of -48/5 and f. 5 What is the lowest common multiple of (-2)/(2 - (-15)/(-6)) + 7 and 23? 253 Let v = -14 + 43/3. Calculate the common denominator of -145/18 and v. 18 What is the common denominator of 1/(-8)*(-142)/(-7) and -67/10? 140 Let g be ((-2)/1 + 4)*2. Suppose 2*u = u + g. Let v(k) = -k**3 - 11*k**2 + 12*k + 1. Calculate the least common multiple of u and v(-12). 4 Suppose 6*k = 3*k + 24. Calculate the lowest common multiple of 5 and k. 40 Let b = 22217/7792 - -42/487. Calculate the common denominator of -3/22 and b. 176 Let r = 9 - 6. Suppose -4 = -4*l, -38 = -2*n + r*l - 5*l. Calculate the least common multiple of 4 and n. 36 Let n = -43 - 35. Let c = -52 - n. Suppose -j = 2*t - 31, -5*t - 3*j + 61 = -18. Calculate the least common multiple of c and t. 182 Suppose -2*r - 48 = -5*r. What is the least common multiple of 10 and r? 80 Let h be 15/(-25)*(-3548)/(-6). Let b = -13687/40 - h. What is the common denominator of (2 - 9/10) + -1 and b? 40 Suppose v - 3 = -3*v - 5*y, -v + y - 6 = 0. Calculate the smallest common multiple of ((-2)/(-3))/((-2)/(-3)) and (-4)/(-2)*(v + 4). 2 Let c(r) = 6*r + 2. Let j(m) = 11*m + 4. Let p(n) = 5*c(n) - 3*j(n). Let d = 13 - 1. What is the lowest common multiple of p(-2) and d? 12 Suppose s - 3 = -0*s. Suppose 2*i - 9 = 4*m - 23, -m = 4*i - 17. Suppose s = -k, m*u = 3*k + 18 + 6. Calculate the smallest common multiple of u and 3. 3 Let s = -12337/1190 + -230/119. Calculate the common denominator of s and -39/10. 10 Suppose -c - b = -15, 2*c + b = -3*b + 36. Suppose -2*o = -5*o + c. Suppose -12*y = -5*y - 84. What is the smallest common multiple of o and y? 12 Let y = 3 - 73/20. What is the common denominator of y and -99/10? 20 Calculate the common denominator of -5/22 and -3 + (980/(-64))/(-7). 176 Suppose 5*c - 2*n = n + 26, 0 = -n - 2. Suppose 0 = 3*m + 41 + 409. Find the common denominator of -2 - (0 - m/c) and 69/8. 8 What is the smallest common multiple of (-2 - 2)*16/(-8) and 22? 88 Let g(n) = 2*n - 24. Calculate the smallest common multiple of 20 and g(18). 60 Let a = -1579 - -31587/20. What is the common denominator of a and 27/10? 20 Let b = 677 - 1631. Let t = 21037/22 + b. Let u = -181691/20 + 9088. Calculate the common denominator of t and u. 220 Let r(c) = -6*c**3 - c - 1. Suppose -3*u - 23 = -4*z, 0 = -4*u + 2*u + 5*z - 27. What is the least common multiple of 1 and r(u)? 6 Let h = -1 - 1. Let c = h + 7. What is the lowest common multiple of c and 8? 40 What is the common denominator of 146/16 - (-4 + 5) and -39/14? 56 Calculate the common denominator of 4/6 - (-566)/168 and 40. 28 What is the common denominator of 1/72*3*-23 and 13/10? 120 Let w = -38 + 52. Calculate the smallest common multiple of w and 6. 42 Let x(z) = z**2 + 5*z + 2. Let b(u) = 5*u + 1. Calculate the lowest common multiple of b(1) and x(-6). 24 Let o = 1487 + -10390/7. Find the common denominator of o and 111/(-10)*6/9. 35 Let l = -89 + -8. Suppose -2 = 5*m - 7. Calculate the common denominator of 121/20 and (2/(-28))/(m/l). 140 Let j(d) = 2*d**2 - 4*d - 3. Let q be j(4). Let u = 2 - -3. Suppose -v - 2*i = 3*i - q, 4*v - 2 = u*i. Calculate the smallest common multiple of 11 and v. 33 Let i(x) = -x**3 + 3*x**2 + 2*x - 1. Suppose -4 = -a - 1. Suppose 6*t + 64 = 14*t. Calculate the least common multiple of i(a) and t. 40 Suppose -6*w - d - 38 = -2*w, -52 = 5*w - d. What is the least common multiple of 7*(-3)/(-21)*6 and (8/w)/(2/(-5))? 6 Let v = 1283/9 - 145. Calculate the common denominator of 65/12 and v. 36 Let i(g) be the second derivative of 0 + 1/12*g**4 - 1/3*g**3 + 0*g**2 - 5*g. Calculate the smallest common multiple of i(3) and 2. 6 Suppose 6*g + 432 = 2*g. What is the common denominator of g/(-15) + (-4)/10 and -40/7? 35 Let u be (0 + -1)*(-2 + 4). Calculate the common denominator of (u/8)/((-8)/52) and 0. 8 Let z(c) = 3*c**3 + c. Let x be z(1). Suppose v = 3*v + x, -s = 4*v. What is the smallest common multiple of s and 4? 8 Let z be -24 + ((-9)/(-2) - 3). Let a = -31 - z. What is the common denominator of (-2)/1*(-1)/(-20) and a? 10 Let i(o) = o - 20. Let q be i(14). Calculate the common denominator of 107/12 and (-4)/8 - (-64)/q. 12 Let i(u) = -u**2 + u + 2. Let o be i(0). Calculate the common denominator of 81/16 and (4 - o)*(-35)/20. 16 Let r be (-4)/(-30) - (-478578)/(-1980). Let i = r - -1204/5. Find the common denominator of (-31)/(-6)*9/2 and i. 44 Let n(c) = 3*c - 14. What is the lowest common multiple of n(10) and 16? 16 Find the common denominator of (30/126)/(3 + (-7)/3) and -25/62. 434 Let a = -10 + 0. What is the common denominator of -55/7 and 121/a + -2 + 2? 70 Suppose w - 20 = -5*p - w, -10 = 2*w. Suppose i + 2*v + 2*v - 18 = 0, -5*i + 46 = -2*v. What is the lowest common multiple of p and i? 30 Calculate the least common multiple of 52 and (2/4)/((-6)/720*-6). 260 Suppose -s - 8 = -2*s. What is the smallest common multiple of s and 18? 72 Let n = -250354/9 + 27852. Let w = 971/36 - n. Calculate the common denominator of w and ((-786)/(-81))/(8/(-6)). 36 What is the common denominator of -45/4 and (-1020)/(-483) + 4/(-14)? 92 Let n = -605 + 8515/14. What is the common denominator of n and 77/8? 56 Suppose 12 = -3*g + 7*g, 3*s + 21 = -g. Let p be ((-3)/(-3))/1 + -7. What is the common denominator of -61/8 and p/s*(-141)/9? 8 Let d = 9331/20 - 467. Find the common denominator of 139/6 and d. 60 Let h = 804/11 - 9107/110. What is the common denominator of h and 16/(-4)*67/12? 30 What is the common denominator of 2 - 3 - 310/(-12) and -19/2? 6 Let f(m) = -m**3 + 3*m**2 - 2*m. Let s be f(2). Suppose 5*k - 62 = 4*q, -2 = k - s*q + 4*q. Calculate the least common multiple of 12 and k. 60 Let i = -695/2 - -1467/4. Calculate the common denominator of i and ((-1)/12)/(-1)*118. 12 Suppose -12 = -k - 2*k. Suppose 3*r = 7*r - k. Calculate the common denominator of (-49)/(-9) + (0 - r) and -23/8. 72 Suppose 5*m - 24 = 16. Calculate the least common multiple of 4 and m. 8 Suppose 4*f - f - 12 = 0. Let l be 20*-1*8/(-5). Suppose 0*h - l = -4*a - 4*h, 0 = -4*a - 3*h + 28. Calculate the lowest common multiple of a and f. 4 Let w be (-12)/2*1/(-2). Suppose 6*b - w*o = b + 50, -3*o = 5*b - 50. Let d(h) = -h**3 - 8*h**2 - h - 4. Calculate the least common multiple of d(-8) and b. 20 Let a(u) = u**2 - 9*u - 18. Calculate the least common multiple of 14 and a(13). 238 Let b = 26/113 - -1574/1017. Calculate the common denominator of -39/10 and b. 90 Calculate the smallest common multiple of 3*-5*(-1 + 5/(-15)) and 18. 180 Suppose 0 = -30*a - 11 + 491. Suppose 4*w - 3 + 11 = 3*g, 3*g + 3*w - 15 = 0. Calculate the lowest common multiple of g and a. 16 Let f = 7 + -1. What is the common denominator of (-916)/(-264) + (-2)/f and -73/8? 88 Let o(s) = s**2 - 24. Let n be o(0). What is t
{ "pile_set_name": "DM Mathematics" }
-35.3 - -31. Which is greater: m or -1? -1 Suppose -3*u + 9 = -6. Suppose 3*r - k = 15, -u = -r - 3*k - k. Suppose -18 - 2 = -r*q. Which is bigger: 5 or q? 5 Let p(b) = -10*b - 169. Let u be p(-14). Is u equal to 0.1? False Suppose -21*y - 5*r + 22 = -19*y, -y - 11 = -3*r. Let v be ((-430)/(-12))/((-91)/1). Let k = v - -9/26. Is y at least k? True Suppose -85*h = -21*h - 132224. Is 2066 greater than h? False Let w(i) = -5*i + 1. Let s(n) = -n + 7. Let k be s(8). Let d be w(k). Which is smaller: 7 or d? d Suppose 3*k - 630 = -f, 5*k - 1052 = f - 2*f. Suppose -3*n - k = 71. Which is smaller: -93 or n? n Let w be 5/10 + (-5)/(-2). Suppose -2*v - 17 = -w*o, -6*v = -5*v + 4*o + 14. Let k be v/45 + (-104)/18. Is k at least as big as -6? True Let a be 3 - (6 - -83) - (6 + 1). Which is bigger: -91 or a? -91 Let f be 3 + 30/(-12) + 0. Let a = 2 - 0. Do a and f have the same value? False Suppose 0*g = 5*g - 7*g. Let p be (1 + g)/((-13)/(-949)). Is p not equal to 73? False Let q be (-66)/22 + (-1 - 39). Let c be q/(-11) - 10/2. Is 1 smaller than c? False Suppose -50 = q - 26*q. Let h = -1591 + 27071/17. Which is smaller: h or q? h Suppose 6 = 5*a + 21. Let k = -1 - a. Suppose -k*l - 6 = -16. Which is bigger: 6 or l? 6 Let a be ((-6)/(-5) + -1)*-1. Let g = -18.2 + 19.2. Is a greater than g? False Suppose f + 3 + 1 = 5*u, -f = 2*u - 3. Suppose 4*y + 3*b - 33 = y, -b = 2*y - 17. Let k be 0/(y/(f + 2)). Which is smaller: 1/17 or k? k Let j = -1.07 + 1.16. Do j and -0.4 have the same value? False Let w = -2.9 - -1.9. Let s = -2.6 - -4. Let x = 6.6 + s. Which is smaller: w or x? w Let z = 2/663 - 4717/904332. Which is bigger: z or 0? 0 Suppose -2*y = 2, 3*n + 4*y = -19 + 81. Let p be (-4)/10 + n/5. Suppose p*z - 3*b = 45, -5*z + 13 + 49 = 2*b. Do 11 and z have the same value? False Let k be 1 + 0 - (2 + (3 - 3)). Which is greater: -3/197 or k? -3/197 Let v(o) = -7 + 3*o**3 + 17 - 2*o**3 + 16 - 2*o + 7*o**2. Let k be v(-8). Does -22 = k? True Let o(t) = -t**2 - t + 9. Let v(u) = u**2 + 3*u - 10. Let b(l) = 5*o(l) + 4*v(l). Suppose i + 2*i - 21 = 0. Let x be b(i). Is x at least as big as 3? True Suppose -18 + 17 = -d. Is d less than 3? True Suppose -q - 56 = -4*j + 27, -5*j = -15. Which is smaller: q or -491/7? q Let p(w) = 3*w**2 - 9*w - 2. Let y be p(-10). Is 388 equal to y? True Suppose 76*r - 160 = 74*r + 5*c, 20 = 5*c. Is 86 at least as big as r? False Suppose -8*j + 3*j = 5. Let v be 8/6*(j + 4). Is v at most as big as 6? True Let k = 2510 - 2484. Let c = -14 - -38. Are k and c equal? False Let z = 1/6615 + 59477/383670. Which is smaller: z or 0? 0 Suppose 3 + 37 = 8*f. Suppose -5*v - 4*n + 10 = -0*n, f*v = 5*n - 35. Are v and -30/17 nonequal? True Let p be (4/((-16)/6))/(33/(-1650)). Suppose -11*k - 101 - p = 0. Let f = 3 - 4. Is f bigger than k? True Let c(g) be the third derivative of g**6/120 - g**5/15 + g**4/6 - 2*g**3/3 + g**2. Let r be c(3). Let w be r + 3 + 6/3. Is w smaller than 3? False Suppose -w = 3, -5*w + 78 = -4*k - 39. Is k greater than or equal to -27? False Let v = -8 - -4. Let a(b) = -b**3 - 4*b**2 - b + 1. Let h be a(v). Suppose -4*s + 8 = -4. Is s equal to h? False Let m = 103 + -101.5. Let d = 1.5 - m. Is -0.26 < d? True Let i(w) = w**3 - 5*w**2 - 2*w - 5. Let b be i(4). Let x = -33 - b. Let n be 11/x - (-27)/9. Which is greater: 0.04 or n? n Let u = -44.1 - -44. Let j be (2/(-24))/((-52)/(-16)). Is u equal to j? False Let i be ((-275)/(-300))/((-1)/39). Are -37 and i nonequal? True Suppose -2*t + 5*g - 429 + 3737 = 0, -2*g = 0. Does 1654 = t? True Let d = 37 - 25. Let v be (-2)/(-8) - 14/(-8). Suppose d = 2*i - v. Are 6 and i non-equal? True Suppose 31*d - 4 = 35*d. Is d < 2/867? True Let g(d) = -2*d**2 + 7*d - 9. Let j be g(3). Let i be 2/(-3) + (-44)/6. Let k be i/j*4/(-16). Which is greater: k or 3/2? 3/2 Let h be (-3 - (-62)/10) + 0. Let r = 16 + -16. Let f = 4 + r. Is f greater than or equal to h? True Let l(f) = 7*f**3 + 2*f**2 + f. Let s be l(-1). Let v be 12/(-9)*9/s. Suppose -4*a = -v*a - 16. Is a smaller than 8? False Let g = 0 + 0.2. Let u = g - 0.1. Let p = 1020 + -1028. Which is bigger: p or u? u Suppose 5*g - 3 = -u - 18, -39 = u - 3*g. Let b = u + 27. Do b and -2 have different values? True Let v = -3.05 - -2.05. Is v > -0.083? False Let f(c) = c**3 - 17*c**2 + 13*c + 23. Let y be f(16). Let p be 4/(-485)*y/(-10). Do p and -1 have the same value? False Suppose -3*x - w = -5, 4*w = -3*x + 2*w + 7. Suppose -2*o + 3*m + 6 + x = 0, o = 4*m + 16. Is -4 bigger than o? False Let f(k) = 50*k**2 - k + 1. Let n be f(-1). Let p = -52 + n. Is -1 >= p? False Let v(d) = 2*d + 5*d + 3 - d**2 - 4*d. Let k be v(3). Let t = -1 - k. Is -6 != t? True Let w = -54 + 90. Let c = -33.9 + w. Which is smaller: c or 1? 1 Let a be 5965/7 + 1/(-7). Let v = -19590/23 + a. Which is smaller: v or 1? v Let a = 29 + -28. Let f be -1*13 + (2 - (2 + a)). Which is bigger: -13 or f? -13 Suppose -3*i = 5*h + i - 147, 0 = 2*h - 2*i - 48. Let y be h/(-36) - (-18)/(-8). Do y and -30/13 have the same value? False Let w = 28 + -6. Let z = -11 + w. Let d = -9.9 + z. Do 2 and d have the same value? False Let f(j) = -j**2 - 9*j - 13. Let m be f(-6). Suppose 2*c + 35 = -3*r, 7*c + 57 = -m*r + 4*c. Is r equal to -0.4? False Let p be (-4)/(-5 + 18 + 1). Let w = -1 + 2. Which is bigger: w or p? w Let t = -271/17976 - 11/749. Is t smaller than -1? False Let j be 7/(-4 - -5) - 2. Let d be j/(-26) - 5/(-10). Suppose -1 = 5*y + g, -4*g + 3 = 5*y - 8. Which is smaller: d or y? y Suppose 0 = 3*l - 8 - 10. Let m(h) = 2*h**3 - 11*h**2 - 7*h + 9. Let d be m(l). Let w = 912/5 + -183. Which is bigger: w or d? d Let j be (2/(-4))/(663/170 - 4). Let g = 17 - 12. Is g at least j? True Suppose -4*w = 72 - 20. Let x = -34128/5 + 6826. Is x != w? True Let q = 12 - 27. Let r(n) = 11*n + 2. Let l(f) = 9*f + 3. Let u(v) = -5*l(v) + 4*r(v). Let s be u(q). Do s and 1 have the same value? False Let c(g) be the second derivative of g**5/20 + 5*g**4/12 + g**3/3 + g**2/2 - g. Let b be c(-2). Let a = 412 - 404. Which is greater: a or b? b Let u = -42 - -94. Let i = -40 + u. Let o = 2.6 + -0.6. Is o >= i? False Let c be -2 - 148/(-38) - 2. Let r be (-32)/(-20)*(5 + 0). Let q be -2*1*(-4)/r. Which is greater: c or q? q Let y be (3510/(-40))/(-3) - (-2)/(-8). Let d = -9.2 + 9. Which is greater: d or y? y Let t be ((0 + 1)*1)/(1/(-17)). Which is bigger: -22 or t? t Let b be 5*((-5820)/(-50) + -4). Which is bigger: b or 565? 565 Suppose 2*f = -3*f - 40. Let t be (-187)/(-51) - f/(-2). Is 3 less than t? False Let x = -137/48 + 3/16. Let q(o) = -o**3 + 6*o**2 + o - 4. Let f be q(6). Let n be ((-27)/6)/3*f. Which is bigger: n or x? x Suppose 174 = 14*c - 78. Let s be 15/2*-10*(-3)/12. Is s < c? False Let j be (-21)/(-252) - (-646)/(-1416). Which is smaller: j or -1? -1 Suppose -20 = 3*h - 2. Let w be 0/((-2)/h*-3). Is 1/3 greater than or equal to w? True Suppose 12 = 3*p + 24, -2*p = -4*x + 128. Does 30 = x? True Let n = -97.8 - -85. Let q = 10.8 + n. Which is smaller: 1/53 or q? q Suppose 0 = 13*o + 17 - 4. Is o not equal to -10/47? True Let x(z) = 14*z**3 - z**2 + 17*z + 17. Let c be x(-1). Is 22 less than c? False Let x = 522907/13 + -40243. Let z = 2863/143 + x. Let a = z + -115/77. Does a = -2? False Let f be 5/(-2) - (-33983)/(-238). Let n = -145 - f. Is n greater than 1? False Let s = 291.85 + -289. Which is smaller: 2/3 or s? 2/3 Let v(d) = d**2 - 25*d + 70. Let a be v(18). Let x = -55 - a. Which is smaller: x or 0? 0 Let u(k) = 9 + 10*k**2 - 6 + 8*k + 8 - 9*k**2. Let l be u(-8). Let w be -1*2/(-6)*l. Is w bigger than 4? False Let m be (-32 - 2)*(-3*2 + 1). Suppose -m = -13*r + 8*r. Which is smaller: r or 1? 1 Let d(g) be the first derivative of g**3/3 + 3*g**2/2 + 3*g + 2. Let r be d(-2). Let q = -3 - -5. Which is greater: q or r? q Suppose 21*d - 9*d - 3468 = 0. Is 290 > d? True Suppose 15 = 3*m - 42. Let x = 1 - -18. Let t = x - m. Is t at least as big as 1/12? False Let v(f) = f**3 - 15*f**2 + f - 9. Let s be v(15). Let h = -6 + 10. Suppose 2*p - h*r + 20 = 0, -2*p + 2*r + 20 = s*r. Which is greater: p or 1? 1 Suppose -3*k = -2*f - 320, -4*k - 601 = 3*f - 87. Let s = 154 + f. Which is smaller: s or -10? s Let n = 0.45 - 0.75. Let q = -0.33 - n. Is -2 > q? False Let u = -1.04 + -11.06.
{ "pile_set_name": "DM Mathematics" }
z**3 + 11*z**2 - 11*z - 11. Let x(k) = 19180*k**3 - 3*k**2 + 3*k + 3. Give 3*c(b) + 11*x(b). -19186*b**3 Let x(j) = -3*j - 4052. Let w(f) = -8*f - 8110. What is -2*w(m) + 5*x(m)? m - 4040 Let s(t) = -t**3. Let v(p) = 48*p**3 - p**2 + 4*p + 8. Calculate 5*s(f) + v(f). 43*f**3 - f**2 + 4*f + 8 Let w(c) = -2785*c + 135. Let k(u) = -119756*u + 5850. What is 3*k(q) - 130*w(q)? 2782*q Let m(w) = -w**3 + 4*w**2 + 3*w - 4. Let j(q) = 3*q + 70478 + 4*q**3 - 11*q**2 - 12*q - 70467. Calculate -4*j(n) - 11*m(n). -5*n**3 + 3*n Let k(v) = -688*v**2 + 2*v + 8. Let n(w) = 8255*w**2 - 25*w - 100. What is -25*k(q) - 2*n(q)? 690*q**2 Let h(m) = -m - 2. Let q = -627 - -646. Let c(x) = -9*x + q*x - 12*x - 4. Determine -6*c(p) + 13*h(p). -p - 2 Let u(y) = -4*y**2 - 5*y. Let p(s) = -17*s**2 - 8*s + 3. Let i(q) = 68*q**2 + 35*q - 11. Let k(m) = 4*i(m) + 15*p(m). Determine 2*k(o) + 9*u(o). -2*o**2 - 5*o + 2 Let a(g) = -9 + 3*g**2 + 2 + g**2 - 11*g + 2 - 6. Let j(t) = -t + 1. Let o be j(1). Let u(y) = -2*y + 0*y + o*y - 2 - 6*y**2 + 7*y**2. Give -2*a(q) + 11*u(q). 3*q**2 Let n be (0 + (-4)/1)/((-20)/45). Let p(v) = v**2 + 4*v + 1. Let f(q) = -4*q**2 - 17*q - 3. What is n*p(c) + 2*f(c)? c**2 + 2*c + 3 Let l(b) = -39*b**2 + 4*b. Let x(a) = -10*a**2 + a. Let h(k) = -k**2 - 77*k + 6196. Let i be h(49). Determine i*x(g) - 6*l(g). 14*g**2 - 2*g Let o(q) = 52*q**2 - 33*q - 5. Let i(h) = 46*h**2 - 33*h - 4. Give 5*i(p) - 4*o(p). 22*p**2 - 33*p Let q(g) be the second derivative of g**3 - g**2/2 - 10*g + 38. Let o(a) = -4*a - 107 + 51 + 57. Give -8*o(w) - 5*q(w). 2*w - 3 Let w(o) = 488*o**2 - 4*o - 30. Let r(u) = -2441*u**2 + 20*u + 143. Determine 4*r(p) + 19*w(p). -492*p**2 + 4*p + 2 Let h(t) = -t - 8. Let x(g) = -13*g**2 + g - 8. What is 2*h(a) + x(a)? -13*a**2 - a - 24 Let k(l) = 1393*l - 1440. Let c(v) = 643*v - 720. What is -13*c(h) + 6*k(h)? -h + 720 Suppose -u = 1 - 2. Let r(t) = -t + 3 - 3 - u. Let a(o) = 4*o - 29. Let h(i) = -53*i + 392. Let s(n) = -27*a(n) - 2*h(n). Calculate 3*r(m) - 2*s(m). m - 1 Let g(r) = r**2 + 2. Let p(m) be the second derivative of 2*m**2 - 108427*m. Suppose -h - h - d + 6 = 0, 0 = 3*h - 4*d - 20. Give h*g(x) - 2*p(x). 4*x**2 Let x(i) = 1740 + 5*i + 1748 - 3489 - 4*i. Let n = 4 + -8. Let m(y) = 2*y - 1. Calculate n*x(z) + 3*m(z). 2*z + 1 Let s(a) = 4*a**2 + 8*a + 3. Let r(g) = -645*g**2 - 1491*g - 477. Let m(h) = -23*h**2 - 53*h - 17. Let d(w) = 57*m(w) - 2*r(w). Determine 2*d(t) + 11*s(t). 2*t**2 + 10*t + 3 Let v be (-9)/39 + (-3290)/(-455). Let s(n) = -17*n - 5. Let f(p) = -8*p - 2. What is v*f(t) - 3*s(t)? -5*t + 1 Let t(b) = b**2 - b. Let u(r) = -2*r**2 + r - 5. Let v = 5717 + -5718. Determine v*u(g) - t(g). g**2 + 5 Let y = 44 - -104. Let s(q) = 5*q + y + 127 - 274. Let a(k) = -4*k - 2. Calculate -4*a(r) - 3*s(r). r + 5 Suppose -1207*u + 282 = -1160*u. Let j(g) = g**2 - g + 1. Let c(v) = -9*v**2 - 8*v - 4. Calculate u*j(m) + c(m). -3*m**2 - 14*m + 2 Let y(w) = -246*w**3 + 3*w + 4. Let p(j) = 245*j**3 - 4*j - 5. Determine -3*p(m) - 4*y(m). 249*m**3 - 1 Let c(b) = 2*b**3 - 2*b**3 - 3 + 1 - 2*b**3. Suppose 20*n - 3*n = -34. Let l(i) = -i**3 + 1. Calculate n*c(h) - 4*l(h). 8*h**3 Let k(w) = 683*w**2 - 2*w + 41. Let o(n) = 683*n**2 - 2*n + 54. Give 4*k(s) - 3*o(s). 683*s**2 - 2*s + 2 Let v(c) = 2*c**2 - 13871. Let x(i) = 4*i**2 - 27741. Determine -9*v(f) + 4*x(f). -2*f**2 + 13875 Let f(n) = -7*n**3 - 99*n**2 + 1274*n. Let w(t) = -4*t**3 - 54*t**2 + 637*t. What is -6*f(b) + 11*w(b)? -2*b**3 - 637*b Let c(o) = 2192*o**2 - 13*o - 12. Let g(l) = 6579*l**2 - 37*l - 34. Give -17*c(s) + 6*g(s). 2210*s**2 - s Let l(c) = 7*c**2 + 6*c - 38. Let g(w) = -3*w**2 - 2*w + 3. Determine -6*g(o) - 2*l(o). 4*o**2 + 58 Let x = 12 + -10. Let z(y) be the second derivative of -23*y**3/6 - 7*y**2/2 - 303*y + 16. Let i(p) = -8*p - 2. Give x*z(w) - 7*i(w). 10*w Let m(g) = 41*g - 64. Let o(h) = -201*h + 324. What is 29*m(u) + 6*o(u)? -17*u + 88 Let r(z) = -z**2 + 2. Let w(d) = -19*d**2 + 8*d - 5. Let n(k) = -119*k**2 + 50*k - 31. Let i(q) = -4*n(q) + 25*w(q). Give 3*i(p) + r(p). 2*p**2 - 1 Suppose -4*k - 54 = -5*o, 14*k - 13*k - 6*o + 23 = 0. Let r(p) = -21*p + 6. Let b(t) = 4*t - 1. What is k*b(j) - 2*r(j)? -2*j - 1 Let h(r) = -2*r**3 + 3*r**2. Let m = 1331 - 1326. Let i(t) = 4*t**3 - 7*t**2 - t. Calculate m*h(s) + 2*i(s). -2*s**3 + s**2 - 2*s Let b(l) = 4*l + 9. Suppose -23*c = -569 + 454. Let i(w) = 20*w + 44. Calculate c*i(x) - 24*b(x). 4*x + 4 Let u(r) = r + 1. Suppose 31*t - 2 = 2*i + 34*t, 0 = -4*t - 8. Let p(j) = 22*j - 1. Calculate i*u(v) + p(v). 24*v + 1 Let y(k) = -k - 7. Let z(w) = -12316*w - 43106. Determine 12316*y(r) - 2*z(r). 12316*r Let k(t) = 3 + 2 - 4 + t. Let v(s) = -342*s - 4. Let j(f) = -169*f - 1. Let h(n) = -2*j(n) + v(n). Calculate h(u) + 5*k(u). u + 3 Let h(t) = -3305*t + 45. Let i(m) = -39664*m + 555. Determine -74*h(f) + 6*i(f). 6586*f Let m(b) = 2*b**3 + 53*b**2 + 4. Let g(w) be the first derivative of -w**4/4 - 9*w**3 - 2*w - 8335. Calculate 5*g(u) + 2*m(u). -u**3 - 29*u**2 - 2 Let y(s) = -s - 1. Suppose 6*g + 8 = 38. Suppose 2*j = -g + 13. Suppose -j*v + 12 = -v. Let a(w) = -2*w**3 + w + 4. What is v*y(c) + a(c)? -2*c**3 - 3*c Let m(w) = 191361 - 191361 - w. Suppose 3*f + 2*f - 10 = 0. Let q(i) = 3*i - 9*i + 7*i. Determine f*m(r) + q(r). -r Let g = -29 + 24. Let a(u) = -u**2 + 8*u + 2. Let w(h) = 4*h + 1. Let d(p) = g*w(p) + 3*a(p). Let m(l) = 5*l**2 + 4 - 4 - l - 4*l**2. Calculate d(t) + 4*m(t). t**2 + 1 Let x(n) = -6*n**3 - 3*n**2 + 9*n + 113. Let d(j) = 3*j**3 + 2*j**2 - 5*j - 57. Determine 7*d(w) + 4*x(w). -3*w**3 + 2*w**2 + w + 53 Let l(v) be the third derivative of v**4/12 + 8*v**3/3 - 1347*v**2. Let i(g) = -1. What is 2*i(s) + l(s)? 2*s + 14 Suppose 3*r = r - 2. Let p(u) be the first derivative of 3*u**2 + u**3 - u - 28 - 33 - 3*u**2. Let y(x) = x**2 - x - 1. Determine r*p(t) + y(t). -2*t**2 - t Let x(n) = 90*n**2 + 7*n. Let d(p) = -94*p**2 - 8*p - 1. Give -3*d(v) - 4*x(v). -78*v**2 - 4*v + 3 Let v(y) = 6*y + 2. Let n be ((-39)/6)/((-21)/42). Suppose o + i - 1 = -i, 5*o + 2*i = n. Let j(f) = 6*f + 3. Give o*v(b) - 2*j(b). 6*b Let f(w) = 2*w**3 + 20*w**2 - 7*w - 5. Let m(r) = -r**3 - 20*r**2 + 6*r + 4. Calculate 4*f(k) + 5*m(k). 3*k**3 - 20*k**2 + 2*k Let d(x) = 6*x + 11. Let l(c) = -c - 3. Let t(q) = -2*q - 7. Let s(a) = -5*l(a) + 2*t(a). Let b(z) = -1715*z + 20558. Let g be b(12). What is g*s(i) + 2*d(i)? -10*i Let g(y) = 1. Let x(h) = 52*h + 16. Let m = 16752 + -16753. What is m*x(l) + 16*g(l)? -52*l Let q(h) = -22*h - 218. Let p(f) = 18*f + 219. Calculate -6*p(y) - 5*q(y). 2*y - 224 Let d(j) = -5164*j**2 - 4*j + 46. Let t(q) = -6885*q**2 - 5*q + 59. Determine -9*d(b) + 7*t(b). -1719*b**2 + b - 1 Let q(c) = -c**3 - 12*c**2 + 2*c + 3. Let g = -23103 - -23111. Let j(b) = 2*b**3 + 36*b**2 - 6*b - 8. Determine g*q(s) + 3*j(s). -2*s**3 + 12*s**2 - 2*s Let i(o) = -3*o**2 + 264. Let x(j) = -j**2 + 126. What is 4*i(z) - 7*x(z)? -5*z**2 + 174 Suppose -4*w - 12 = -2*i, -w - 21 + 62 = 5*i. Let k(y) = 3*y - 2. Let d be (1/(0 + 1))/((-4)/(-48)). Let u(n) = -9*n + 35 - 42 + d. What is i*k(a) + 3*u(a)? -3*a - 1 Suppose 107*a - 149 - 172 = 0. Let m(b) = 7*b**3 - 7*b**2 + 3*b - 1. Let d(n) = 8*n**3 - 8*n**2 + 4*n - 2. What is a*d(h) - 4*m(h)? -4*h**3 + 4*h**2 - 2 Let u(x) be the second derivative of 2*x**3/3 - 12*x. Suppose 23 + 19 = 3*f. Suppose 2*i - f = -6. Let s(y) = 9*y. Give i*s(l) - 10*u(l). -4*l Suppose 38*l - 42*l + 800 = 0. Let b = l + -199. Let q(i) = i**3 - i**2 + i - 1. Let s(f) = 5*f**3 - 7*f**2 + 10*f - 6. What is b*s(j) - 6*q(j)? -j**3 - j**2 + 4*j Let m(w) = 2*w**2 - 1. Let h(y) = 3*y**3 - y**2 + 2*y + 5. Determine h(z) + 3*m(z). 3*z**3 + 5*z**2 + 2*z + 2 Let v(x) = -28*x + 17. Let c(y) = -1 + 1748*y + 1 - 3 - 1741*y - 1. Calculate -9*c(l) - 2*v(l). -7*l + 2 Let k(m) = 5*m**3 - 128*m**2 + 6*m + 12. Let b(w) = -9*w**3 + 256*w**2 - 13*w - 26. Calculate -6*b(g) - 13*k(g). -11*g**3 + 128*g**2 Let n(s) = -2*s + 12. Let q(m) = -m + 4. Let v(t) = t**3 + 9*t**2 + 2*t + 15. Let a(l) = l - 17. Let y be a(8). Let o be v(y). Give o*n(z) + 8*q(z). -2*z - 4 Let d(u) = 3*u - 4. Let m = -29 - -29. Suppose -5*x + 5 + 15 = m. Let r(z) = 7*z - 7. Calculate x*r(g) - 7*d(g). 7*g Let f(i) = 126*i + 1265. Let m be f(-10). Let j(g) = 2*g. Let r be j(-
{ "pile_set_name": "DM Mathematics" }
he units digit of s? 3 Suppose 4*s - 43 = k + 84, 5*s - 167 = 4*k. What is the units digit of s? 1 Let f(w) = 34*w - 1. Let r be f(-1). Let a = r - -50. What is the tens digit of a? 1 Suppose 3 = 3*u - 3. Suppose 8*o - 5*o = u*r + 64, 3*o = -3*r + 69. What is the units digit of o? 2 Let a = 0 + 2. Suppose -a*f = -18 - 0. What is the units digit of f? 9 Let c(m) = m + 1. Let k(i) = 8*i + 11. Let p = 25 - 11. Let j(s) = p*c(s) - 2*k(s). What is the units digit of j(-6)? 4 Suppose 0 = 3*r - 79 - 11. Suppose 0 = 3*x - 15 - r. What is the units digit of x? 5 Let h(g) be the second derivative of g**4/6 - g**3/3 + g**2 + 6*g. What is the tens digit of h(3)? 1 Let l = 13 + -12. Let g(k) = 13*k + 1. What is the tens digit of g(l)? 1 Suppose 0 = -4*z + 18 + 30. Suppose 6 = 2*c + z. Let h(v) = -2*v - 3. What is the units digit of h(c)? 3 Suppose -p = 4*z - 13, -p = 4*p - 25. Suppose z*q - 3*q = -23. What is the tens digit of q? 2 Let v(w) = w**3 + 14*w**2 - 2*w + 3. What is the units digit of v(-14)? 1 Let t(m) = -m + 3*m + 1 - 13*m**3 - 2*m. What is the units digit of t(-1)? 4 Let a(z) = 70*z**2 - z - 1. What is the units digit of a(1)? 8 Let l(i) = -i**2 - i + 11. Let u be l(0). Let w = -9 + u. What is the units digit of w? 2 Let y be (-1 - 7)/2 + 1. Let d(b) = b + 2. Let n be d(y). What is the units digit of n - (-1 + (2 - 3))? 1 Suppose 0 = 2*k + 2*k. Let d(b) = -b**3 - b**2 + 4*b + 1. Let s be d(-3). Suppose -y + k*y = -s. What is the units digit of y? 7 Let r(y) = -y**3 - y**2 + 2*y + 2. Let t be r(-2). Suppose 5*f - 21 = t*f. What is the units digit of f? 7 Suppose 11*t - 37 - 139 = 0. What is the units digit of t? 6 Let r be (-3)/6 - 43/(-2). Let w = -1 + r. Suppose x + 4 = -5*u - 3, 4*x = -4*u + w. What is the units digit of x? 8 Suppose 0*o - 57 = -2*s - o, 3*o - 41 = -s. What is the units digit of s? 6 Suppose 3*p + 5*r = 7*p + 35, 3*r = -4*p - 75. What is the units digit of 5/p - (-16)/3? 5 Let a(i) be the third derivative of -2*i**2 + 1/2*i**3 + 0*i + 1/60*i**5 - 1/6*i**4 + 0. What is the units digit of a(4)? 3 Suppose 2*y + 5 = 17. Let z(x) = x**2 - x - 6. Let v be z(y). Suppose 6 = -3*n + v. What is the units digit of n? 6 Let s be (-128)/(-6)*54/24. What is the units digit of ((-5)/4)/((-2)/s)? 0 Let d be (18/(-21))/(9/(-42)). Let q = d - -4. What is the units digit of q? 8 Suppose -z + 74 = -0*z + 4*x, -z + 72 = 3*x. What is the units digit of z? 6 Let i(v) = -v**3 + 5*v**2 + 9*v - 7. Let m = -2 - -8. Let h be i(m). Suppose -o - 5*z = -6*o + 30, 0 = 3*o + 4*z - h. What is the units digit of o? 5 Let f(p) = p**2 - 12*p + 6. Let k be f(12). What is the tens digit of 68/k - 5/15? 1 Suppose -3*s - 19 - 8 = 0. Let j = -6 - s. What is the units digit of j? 3 Let f be (24/(-9))/((-4)/6). Suppose 2*z - f*z = -8. Suppose -4*c = -z - 4. What is the units digit of c? 2 Let f(j) = -j**2 - 10*j - 10. What is the tens digit of f(-7)? 1 Suppose 202 = 5*s + 17. What is the tens digit of s? 3 Suppose 0 = -2*z + 2*c - 10, -c - 14 + 4 = 2*z. Let y be (4/5)/(z/(-25)). Suppose y*x = 3*x + 5. What is the units digit of x? 5 Suppose -7*l + 3*l + 2*g = -108, 4*l - g = 104. What is the units digit of l? 5 Let b(w) = w + 9. Suppose 0 = -t + 4*o - 2, 2*t = o + o - 10. Let i be 2/t*(3 - 3). What is the units digit of b(i)? 9 Let i(l) = 4*l + 11. Let c = -11 - -18. Let f(s) = 2*s + 5. Let a(h) = c*f(h) - 4*i(h). What is the units digit of a(-6)? 3 Let y be 1 + (-3 + 2)*-1. Suppose 0 = -2*o + 3*o - y. Suppose -o - 2 = -4*b. What is the units digit of b? 1 Suppose -3*q + 0*q = 24. Let h be (q + -1*2)/(-2). Let o = h + 0. What is the units digit of o? 5 Suppose -5*a + 5*i = -10*a + 210, 0 = 2*a - i - 93. What is the units digit of a? 5 What is the units digit of (-14)/(-35) + 646/10? 5 Suppose -3*v = -5*v + 3*g + 275, -4*g = 4. What is the units digit of v? 6 Suppose 0 = 5*b - 4*i - 72, b - 3 = i + 12. Suppose -3*r = -2*r - 4. Suppose r*g = 36 - b. What is the units digit of g? 6 Suppose -4*t - 4*d = -20, -5*t + 3*d = 33 - 82. Let f = 26 - t. What is the units digit of f? 8 Suppose 3*f - 167 = 5*o, 0 = -0*f + 2*f + o - 120. What is the units digit of f? 9 Suppose -r + 4*j = 10, -2*r - 4*j + 40 = 2*r. Suppose l = r + 7. Let n = 19 - l. What is the units digit of n? 6 Suppose -5*n + 4*o + 3 - 19 = 0, 0 = 2*n + 3*o - 12. Suppose n*d + 3*d = -15, 4*g - 2*d - 94 = 0. What is the units digit of g? 1 Suppose 2*t = 3*l - 172, 5*l - 3*l - 115 = t. What is the units digit of l? 8 Suppose 3*x + 6 = 0, 3*x = 2*a - 11 - 1. What is the units digit of a? 3 Suppose 3*m + 1 - 4 = 0. What is the units digit of ((-3)/m)/9*-3? 1 Let x be (-1 + -2 + -1)*-5. Suppose 5*q - 10*q + x = 0. Suppose 0 = 4*c - 16, -q*c + 3*c - 24 = -2*b. What is the units digit of b? 4 Let y = 3 - 3. Suppose 0 = -y*c - 5*c. Suppose c = 4*j - 3*j - 2. What is the units digit of j? 2 Let h be (-440)/(-36) - 4/18. Let s = h + 13. Suppose 5*b - 5*n + 0*n = s, -b + 29 = 5*n. What is the units digit of b? 9 Let d(t) = -t**2 + 24*t - 37. What is the units digit of d(17)? 2 Let h(f) = 3*f**2 - 6 - 4 + 2*f + 4*f - 2*f**2. What is the units digit of h(-8)? 6 Let q(t) = -t**2 + 3*t - 1. Let s be q(2). Suppose 0 = 2*w - 7*w. Let y = w + s. What is the units digit of y? 1 Suppose 3*v = j + 392, 640 = v + 4*v + j. What is the tens digit of v? 2 Let n = -6 + 7. Suppose -3*h + 4 = n. What is the units digit of h? 1 Let m = 131 - 77. What is the units digit of m? 4 Let m = -13 - 2. What is the units digit of 3/5 + (-6)/m? 1 Let p be (-2 - (-1 + 0)) + -1. Let j(w) = -2*w**2 - 2*w - 1. Let c be j(p). What is the units digit of (-16)/40 - 22/c? 4 Suppose 0 = 2*p - 4*n + 4 - 16, -5*p - n + 19 = 0. Suppose p*l = 4*o - 28, -3*o + o = 2*l - 6. What is the units digit of 102/30 + (-2)/o? 3 Let j(q) = -q**2 - 5*q - 2. Let m be j(-6). What is the units digit of ((-2)/(-3))/(m/(-12))? 1 Let k(z) = 6*z**2 - 10*z - 17. What is the hundreds digit of k(6)? 1 Let j(t) = -t**2 - 4*t - 3. Suppose 2*f - f = 5. Suppose f*b - d = -14, -2*b + 4 = -0*b + 2*d. What is the units digit of j(b)? 1 What is the tens digit of (30/7)/((-9)/(-189))? 9 Let f = -11 + 19. Suppose 22 = 5*o + 3*t, t + 3 = 2*o - f. Suppose -6 = -o*k + 4. What is the units digit of k? 2 Suppose t + 5 = 2. Let n be (-1 - 1)/(t + 4). What is the units digit of 1 + (-1 - n) + 5? 7 Let z be (6/15)/((-2)/(-10)). Let u be (-1)/(-2)*(z - 6). Let v = u + 4. What is the units digit of v? 2 What is the units digit of -4 + 6*4 - 0? 0 Let r(v) = v + 2. Let l(w) = -2*w - 5. Let x(m) = -3*l(m) - 8*r(m). What is the tens digit of x(-6)? 1 Let y be (-4)/(-10) - 74/10. Let t(s) = -3 + 3*s - 4*s**2 + s**2 + 3*s + 4*s**2. What is the units digit of t(y)? 4 What is the tens digit of 48/5 - 20/(-50)? 1 Suppose -d - 3*r = 11 + 2, -4*d = 4*r + 20. Let u = -6 - d. What is the units digit of (-2)/4*(u + -9)? 7 Let s(v) = 2*v**3 - 12*v**2 + 34*v + 13. What is the units digit of s(6)? 7 What is the units digit of (-1*1)/(13/(-1768))? 6 Let m = 241 - 118. What is the units digit of m? 3 Suppose 3*v + 5 = 14. Let c be (v/(-2))/((-2)/16). What is the units digit of (2/2)/(3/c)? 4 Let g(m) = m**2 + 1. Let z(p) = -7*p**2 - p + 4. Let d(u) = 2*g(u) - z(u). What is the tens digit of d(2)? 3 Suppose 0 = -5*r + 5 + 15. Let g be (r/6)/((-3)/9). What is the units digit of 3/g*(-4)/3? 2 Let q = -30 + 56. What is the units digit of q? 6 Suppose -6*q = -q + 175. Let f = q - -50. What is the tens digit of f? 1 Suppose n + 2 = 2*n. Let j be (-2 - (-10)/4)*0. Suppose j = -n*m + 5 + 9. What is the units digit of m? 7 Suppose 139 = g - 215. What is the units digit of g? 4 Let r(i) = i + 13. Let b be r(9). Let m = 25 - b. What is the units digit of m? 3 Suppose 6*f = f - 40. Let d = 2 - f. What is the units digit of d? 0 Let b(k) = 12*k**2 + k. Let u be b(-1). Let z = u + -6. What is the units digit of z? 5 Let o(f) = 8*f - 11. What is the tens digit of o(7)? 4 Let s(h) = -12*h**3 - h**2 - h + 1. What is the tens digit of s(-3)? 1 Let y = -15 - -20. What is the units digit of y? 5 Let k = -12 + 20. Suppose -4*s - 16 = -k*s. What is the units digit of s? 4 What is the tens digit of 4/(-18) - (-2166)/27? 8 Suppose -9 = 5*r - 2*r. What is the tens digit of (2 + 3)*(-9)/r? 1 Suppose -h + 4*h = 66. Suppose 4*r - h - 50 = 0. What is
{ "pile_set_name": "DM Mathematics" }
+ 5*v - 5. Let a(g) = 125*g**3 - 6*g + 6. What is -5*a(u) - 6*h(u)? 125*u**3 Let v(j) be the first derivative of 21*j**4/4 - 7*j**3 - 11*j**2/2 + 28. Let d(o) = -4*o**3 + 4*o**2 + 2*o. What is -22*d(z) - 4*v(z)? 4*z**3 - 4*z**2 Let l(a) be the third derivative of 7*a**6/40 + a**5/12 + 5*a**4/24 + a**3/3 - 253*a**2. Let y(k) = -11*k**3 - 2*k**2 - 2*k - 1. Determine -2*l(c) - 5*y(c). 13*c**3 + 1 Let c(k) = 29*k**2 + 6*k - 7. Let m(x) = -14*x**2 - 3*x + 3. What is -6*c(g) - 13*m(g)? 8*g**2 + 3*g + 3 Let p(i) = 4*i - 1. Let l be (1/(-3))/(4 - 100/24). Let j(z) = 3*z - 2. Give l*j(t) - 3*p(t). -6*t - 1 Let o(f) = 7*f**3 - 5*f - 5. Suppose 2*u - 5*r + 9 - 2 = 0, -2*r + 38 = -3*u. Let m(z) = -22*z**3 + 16*z + 16. Let n = 13 + -18. What is n*m(l) + u*o(l)? -2*l**3 Let y(k) = -k**3 + 8*k**2 + 10*k - 5. Let o be y(9). Suppose -20 = 7*t - 3*t + o*w, -5*t = 2*w + 22. Let m(l) = -l + 1. Let s(a) = a - 1. Give t*s(p) - 5*m(p). p - 1 Let u(r) = -12*r**2 + 15*r + 3. Let i(f) = -13*f**2 + 12*f + 2. Give 4*i(t) - 3*u(t). -16*t**2 + 3*t - 1 Let z(a) = 5*a - 1. Let f(t) = -20*t + 5. Let i(d) = 2*f(d) + 9*z(d). Let p(q) = q**2 + 6*q + 1. Give -6*i(r) + 5*p(r). 5*r**2 - 1 Let m(f) = -14*f + 726. Let h(k) = -5*k + 242. Give -17*h(x) + 6*m(x). x + 242 Let s(p) = 17*p**2 - 6*p - 23. Let r(w) = 4*w**2 - w - 1. What is -6*r(u) + s(u)? -7*u**2 - 17 Let l(d) = -10*d. Let n(x) = -4*x + 3*x - 4*x + 0*x. Let k = 112 + -109. Calculate k*l(j) - 5*n(j). -5*j Let u(k) be the first derivative of -5*k**2/2 - 4*k - 12. Let v(y) = 3*y + 2. Let a(z) = 2*u(z) + 5*v(z). Let f(x) = 6*x + 2. Give -5*a(o) + 4*f(o). -o - 2 Let d = 361 - 350. Let q(b) = -7*b**2 + 4*b - 1. Let f(x) = 21*x**2 - 11*x + 3. Determine d*q(a) + 4*f(a). 7*a**2 + 1 Let l(s) = 7*s. Suppose -340*q + 42 = -346*q. Let o(i) = 10*i. Calculate q*l(c) + 5*o(c). c Let r(j) = -1505*j**3 - 129*j**2 + 129*j + 258. Let l(c) = -47*c**3 - 4*c**2 + 4*c + 8. Give 129*l(s) - 4*r(s). -43*s**3 Let o be 8/6*(-7 + 28/7). Let b(s) = -36*s - 21. Let v(j) = -7*j - 4. Give o*b(r) + 21*v(r). -3*r Let t(g) be the third derivative of 7*g**5/60 + g**4/8 + g**3/2 + 168*g**2 + g. Let u(o) = o**3 + 15*o**2 + 7*o + 7. Give 7*t(c) - 3*u(c). -3*c**3 + 4*c**2 Let k(c) = 12*c + 19. Let d(i) = -9*i - 18. Give 3*d(p) + 2*k(p). -3*p - 16 Let w(t) = 13*t - 19. Let p(g) = -6*g + 10. Suppose q + 2 = -5*c + 46, 2*q - 7 = -c. Give c*p(s) + 4*w(s). -2*s + 14 Let a(c) = c**3 - 1. Let n(j) = -4*j**3 - 5*j**2 - 7. Let y(s) = -4*s**3 - 4*s**2 - 5. Let r(t) = -5*n(t) + 6*y(t). Determine 5*a(v) + r(v). v**3 + v**2 Let z(d) = 3*d - 3. Let r(k) = -1. Let l(w) = r(w) - z(w). Let h(t) = t - 1. Suppose c + 0*c = -3*o + 11, -4*c - 12 = -2*o. Determine c*l(u) - 2*h(u). u Suppose 0*d + 3*d = 9. Let w(y) = -y**3 - y - 1 + 1. Let i(r) = -10*r**2 + 3*r**2 + r**3 + 2*r + 5*r**2. What is d*w(v) + i(v)? -2*v**3 - 2*v**2 - v Let g(h) = -h. Suppose 0*x - 1547 = -13*x. Let w(d) = x*d - 58*d - 60*d. Give 3*g(z) + w(z). -2*z Let l = -3 - -2. Let t(u) = 22*u + 22. Let q(g) = -20*g - 19. Let b(x) = 4*q(x) + 3*t(x). Let s(f) = -f - 1. Calculate l*b(z) + 12*s(z). 2*z - 2 Let z(d) = -102*d**3 + 5*d**2 - 14*d. Let w(y) = 154*y**3 - 8*y**2 + 22*y. Determine -5*w(a) - 8*z(a). 46*a**3 + 2*a Let w(f) be the third derivative of 17*f**6/120 - f**5/15 + 2*f**3/3 - 145*f**2 - 1. Let o(j) = j**3 - j**2 + 1. Determine 4*o(h) - w(h). -13*h**3 Let a(h) = -3*h**2 + 3*h + 42. Let s(o) = -16*o**2 + 16*o + 212. Determine 11*a(q) - 2*s(q). -q**2 + q + 38 Let z(m) = 8*m + 97. Let w(j) = -7*j - 98. Determine -6*w(b) - 5*z(b). 2*b + 103 Let h(d) = 12*d**2 - 7*d + 9. Let u(m) = -3*m**2 + m - 1. Let a(f) = -2*h(f) - 6*u(f). Let x(g) = 4*g**2 - 5*g + 8. Give 5*a(c) + 8*x(c). 2*c**2 + 4 Let x(m) = -2*m - 1. Suppose 3*b = 2*h - 5, h + 18*b + 25 = 14*b. Let n(q) = -2*q - 1. Calculate h*n(f) + 6*x(f). -2*f - 1 Let s(d) = d**3 - 8*d**2 + 14*d + 7. Let r = 87 + -82. Let k be s(r). Let h(p) = 4*p**2 - p. Let t(b) = 3*b**2 + 3*b - 4*b - 1 - 2*b**2. What is k*t(v) - h(v)? -2*v**2 - v - 2 Let c(o) = 14 + 4 - 13*o + 46*o - 5. Let g(w) = 16*w + 6. Calculate 6*c(n) - 13*g(n). -10*n Let a(s) = s**2 - s + 4. Let o(c) = 72*c**2 + 66*c - 264. Determine -132*a(b) - 2*o(b). -276*b**2 Let o(p) = p**2 + 4*p - 112. Let s(y) = -y**2 - 5*y + 114. What is -5*o(c) - 4*s(c)? -c**2 + 104 Let m(j) = -613*j**2 - 6*j - 3. Let b(r) = -205*r**2 - 2*r - 1. Calculate 11*b(c) - 4*m(c). 197*c**2 + 2*c + 1 Let t(n) = -15*n + 120. Let u(p) = p + 3. Calculate -5*t(c) + 200*u(c). 275*c Let v(s) = 1 - 5*s**2 + 0*s**2 + s**2. Let y(f) = -4*f**2 + 1. Let k = -18053 - -18050. Determine k*v(i) + 2*y(i). 4*i**2 - 1 Suppose 2*v + 3*v + 25 = 0. Let p(z) = z**2 + 5*z - 8. Suppose 4*m + 42 = -2*m. Let g be p(m). Let u(y) = -4*y - 1. Let b(c) = -3*c - 1. Give g*b(o) + v*u(o). 2*o - 1 Let c(b) = b**2 + 3*b. Let o = 46 + -31. Suppose 2*n - 3*x = -0*n - o, 4*x - 16 = 2*n. Let m = 75 + -49. Let w(d) = 4*d**2 + 13*d. Determine m*c(q) + n*w(q). 2*q**2 Let a(q) = 2*q - 2. Let l(v) = -10. Let s(f) = f. Let r(i) = -l(i) - 10*s(i). Let y be (-18)/14 - (-2)/7. Let c = y + -13. Give c*a(k) - 3*r(k). 2*k - 2 Let t(i) = -34*i - 10. Let b(g) = -1. What is 12*b(a) - t(a)? 34*a - 2 Let o(f) = -8*f**3 + 3*f**2 - 3*f - 11. Let i(y) = 7*y**3 - 2*y**2 + 2*y + 10. Determine -4*i(w) - 3*o(w). -4*w**3 - w**2 + w - 7 Let w(f) = -13*f + 82. Let a(y) = -8*y + 55. Determine -8*a(q) + 5*w(q). -q - 30 Let a(j) = 42*j**2 - 21*j - 6. Let w(o) = 84*o**2 - 47*o - 13. Calculate -9*a(y) + 4*w(y). -42*y**2 + y + 2 Let k(n) = 13*n**2 + 4*n + 4. Let y(g) = -7*g - 2*g**2 + 6*g - g**2 + 0*g - 1. Let m = 61 + -52. Determine m*y(j) + 2*k(j). -j**2 - j - 1 Let v(n) = -n - 2. Let g(k) = 379*k + 11. What is -g(w) - 6*v(w)? -373*w + 1 Let y(a) = 4*a - 2. Let i(l) be the third derivative of -l**4/24 - l**3/6 + 4*l**2. Let f(h) = 3. Let b(r) = -f(r) - 2*i(r). Determine -7*b(w) + 4*y(w). 2*w - 1 Let b(t) = -t**3 - 1. Let s(p) = 5*p**3 + 13*p + 4. Give 4*b(m) + s(m). m**3 + 13*m Let c(q) = q + 3. Let l(t) = -1. Let i(n) = -n**3 + 28*n**2 + 56*n + 115. Let h be i(30). Calculate h*l(d) - c(d). -d + 2 Let x(d) = -102*d**3 + 18*d + 18. Let c(i) = 29*i**3 - 5*i - 5. Suppose -1 = v - 4*q, 2*v + 8*q = 7*q - 11. What is v*x(h) - 18*c(h)? -12*h**3 Let l(a) = a. Let v(b) = -102*b**2 - 4*b. Give -10*l(i) - 2*v(i). 204*i**2 - 2*i Let l(v) = -19*v**3 + 11*v**2 + 26. Let u(w) = 10*w**3 - 6*w**2 - 13. Calculate -6*l(t) - 11*u(t). 4*t**3 - 13 Let l(u) = -2*u**3 - 10*u**2 + 6*u - 5. Let c(k) = -3*k**3 - 18*k**2 + 12*k - 9. Let r(g) = -5*c(g) + 9*l(g). Let m(w) = -w**3 - w. Determine -5*m(s) + r(s). 2*s**3 - s Suppose 2 = -2*w - 26. Let f(z) = -6*z**2 - 7. Let r(s) be the first derivative of -s**3/3 - s + 20. Calculate w*r(i) + 2*f(i). 2*i**2 Let m(a) = 7*a**3 - 13*a**2 - 11. Let c = -19 + 8. Let l(o) = 4*o**3 - 7*o**2 - 6. Let u(y) = -78*y + 240. Let d be u(3). Give c*l(k) + d*m(k). -2*k**3 - k**2 Suppose 0*c - 6 = 3*c. Let b(s) = -22*s - 13. Let v(h) = 12*h + 7. Let k(o) = 4*b(o) + 7*v(o). Let q(g) = 9*g + 7. Give c*q(d) - 5*k(d). 2*d + 1 Let o(l) = 7 - l - 2*l - 4*l + l + 12*l. Let t(x) = 7 + 5*x + 2 + 0 - 3. Give -4*o(v) + 5*t(v). v + 2 Let x(m) be the first derivative of m**3/3 - m**2 + 3*m - 1. Let q(c) = -5*c**2 - 5 + 11*c - 9 - c**2 + c**2 - 2. Determine 2*q(i) + 11*x(i). i**2 + 1 Let b(p) = 604*p - 3. Let h(c) = 401*c - 2. Calculate 5*b(q) - 7*h(q). 213*q - 1 Let m(r) = -r**3 + r**2. Let f(k) = k**3 + 2*k**2 + 7*k. Let z(t) = 2*f(t) - 4*m(t). Let b(o) = -2*o**3 + 146*o**2 - 146*o**2 - 5*o. What is -14*b(u) - 5*z(u)? -2*u**3 Let g(q) = -8*q**2 + 7. Let b(k) be the first derivative of -k**3 + 2*k - 108. Determine -7*b(z) + 2*g(z). 5*z**2 Let f(m) = 2*m**2 + 11*m - 11. Suppose 197*d - d + 2156 = 0. Let s(k) be the third derivative of k**5/60 + k**4/4 - k**3 + k**2. Calculate d*s(p) + 6*f(p). p**2 Let y(q) = 20*q - 11. Let l be (5 + -2)/(6/(-40)) - -3. Let k(c) = 13*c - 4. Let b(z) = -38*z + 12. Let t(u) = 6*b(u) + 17*k(u). Give l*t(n) - 6*y(n). -n - 2 Let m be (-8)/(24/(-13)) - 2/6. Let c(j) = -2*j + 5. Let i(y) = -3*y + 6. What is m*i(g) - 5*c(g)? -2*g - 1 Let g(q) = -3*q**3 + 11*q**2 - 2*q - 9. Let o(l) = l**3 - 2*l**2 + l + 1. Determine -g(n) - 5*o(n). -2*n**3 - n**2 - 3*n + 4 Let y(f) be the second derivative of -1/2*
{ "pile_set_name": "DM Mathematics" }
z = 4*o + g. Let b(t) = -13*t + 1 + 13*t + t**3 - t**2. Give b(z). 5 Let t = 877/375 - 2/375. Let z(h) be the first derivative of -t*h**3 + 5 - 3*h**2 - h - 1/4*h**4. Give z(-6). -1 Let r = 58 + -61. Let t(v) be the second derivative of v**2 + 2/3*v**3 - v + 0 - 1/6*v**4 - 1/20*v**5. What is t(r)? -1 Let a(r) = -3*r**2 - 2*r + 4. Let h(z) = 4*z**2 + 3*z - 5. Let g(l) = -7*a(l) - 5*h(l). Give g(-3). 9 Suppose 8*s + 20 = -2*s. Let z(y) = -2*y - 3. What is z(s)? 1 Let s(k) be the second derivative of 0 - 3/5*k**5 + 9*k + 0*k**2 + 1/12*k**4 - 1/6*k**3. Calculate s(1). -12 Let s(t) = -t + 8. Let p(i) = i - 9. Let j be (-90)/(-15)*1/1. Let r(h) = j*s(h) + 5*p(h). Let d be 0/(6 + 0 - 3). Calculate r(d). 3 Let n(z) be the second derivative of -z**3/6 - 11*z**2/2 + 3*z + 5. What is n(-9)? -2 Let u(x) = x. Suppose 7 + 4 = -2*g - t, 0 = -3*t + 15. Let l = g + 10. Suppose -39 = 4*c - 5*f - 0*f, 0 = l*c - 2*f + 18. Give u(c). -6 Let n be (2/6)/(4/36). Let i = 6 + -7. Let s = i - n. Let r(b) = -2*b + 1. What is r(s)? 9 Suppose -19 = -14*l + 9. Let y(t) = -16*t + t - 2 + 10*t - t**3 - 2*t**l + 7*t. Determine y(-3). 1 Let k(t) = 2 + 0*t + 0*t**2 + t**2 + 2*t. Let r(n) = -6*n**2 + 14*n + 10. Let a be r(3). Give k(a). 2 Let k(c) = -5*c**2 + 3. Let y(r) = 9*r**2 + r - 6. Let h(t) = 11*k(t) + 6*y(t). Let o(l) = l**3 + 8*l**2 + 8*l + 14. Let v be o(-7). What is h(v)? -10 Let f(t) = -t - 4. Let k be f(0). Let a(r) = -r**2 + r + 11. Let q(h) = 2*h**2 - 3*h - 17. Let n(c) = a(c) + q(c). Calculate n(k). 18 Let a(c) = -c**2 - 2*c + 6. Let b(u) = 2*u**2 - 4*u - 21. Let h be b(5). Suppose -h*i + 6*i = 18. Give a(i). -18 Let u(f) = -7*f**3 - 6*f**2 - f + 1. Let s(n) = 8*n**3 + 7*n**2 + n. Let p(z) = -6*s(z) - 7*u(z). Calculate p(0). -7 Suppose -3*a - l = -9, 16 = 4*a + l + 4. Let i(t) = t**2 - 2*t - 4. What is i(a)? -1 Let j(y) = -2*y - 20. Let o be j(-8). Let w(x) = 2*x - x**3 - 2 - 3*x**2 + 2 - 2*x**2 + 3. Determine w(o). -21 Let j be 3/(1 - 4)*-3. Suppose 4*i = 3*i, 5*i + 9 = j*m. Let n(g) = g**3 - 5*g**2 + 4*g - 4. Give n(m). -10 Let c(s) be the third derivative of -s**5/60 + 3*s**4/4 - 7*s**3/3 - 148*s**2. Determine c(18). -14 Let a(x) be the third derivative of -x**5/60 - 5*x**4/24 + 11*x**3/3 - 11*x**2 - 10. What is a(-8)? -2 Let a(d) = d**2 + 4*d - 5. Let s(q) = -15 - 6 + 17*q + 5*q**2 + 0. Let w(n) = 9*a(n) - 2*s(n). Suppose -3*u = 9, 3*l - 6*l - 5*u - 6 = 0. Determine w(l). -6 Let y(q) = 3*q + 3. Let n = -6 - -3. Suppose 2*h = -4*k, h + 7 = 3*k - 3. Let z be (n - -4)/((-1)/k). What is y(z)? -3 Let a(h) be the first derivative of -h**4/4 + 3*h**3 - 6*h - 126. Determine a(9). -6 Let j(p) = 25*p**2 + 4*p + 5. Let w(g) = g**2 + g + 3. Let z(a) = j(a) - 2*w(a). Suppose 2 - 9 = -7*f. Calculate z(f). 24 Let p(q) be the first derivative of q**6/120 + q**5/12 + q**4/6 + q**3/6 - 9*q**2 - 18. Let w(o) be the second derivative of p(o). What is w(-4)? 1 Let l(v) = 2*v - 7. Suppose 3*o = 6 + 3. Suppose o*c - 15 = 6*c. Let a be 10/8*(-1 - c). Give l(a). 3 Let u(b) = b**3 + 6*b**2 - 5*b + 10. Suppose -85 = -2*j + 5*o, -4*o + 125 = 4*j + o. Suppose -4*y - y = j. Let n be u(y). Let r(m) = -4*m - 6. Give r(n). 10 Let l(u) = -6*u + 7. Let j be l(2). Let p(y) = -4*y - 1. Let k be p(-1). Let a(q) = 1 - 5 - 2 - k*q. Calculate a(j). 9 Let d(b) = b**3 - b**2 + b + 4. Suppose -g = -2*f, 4*g = 7*g + 5*f. What is d(g)? 4 Let b(a) = -a**3 - 5*a**2 - 2*a + 1. Let z be b(-5). Let t = 225 + -160. Let k be (-1 + z)*26/t. Let n(p) = -2*p**2 + 6*p - 1. Determine n(k). -9 Let v(q) = -q**2 - 2. Let y(r) = r**3 - 4*r**2 - r - 1. Let k be y(4). What is v(k)? -27 Suppose -p - 122*d + 117*d = -17, 4*p = d + 47. Let h(u) = -5*u + 54. Calculate h(p). -6 Let w(v) be the third derivative of -v**5/60 + 5*v**4/24 + 7*v**3/6 + 96*v**2 + 4. Calculate w(5). 7 Let d(r) be the second derivative of r**4/2 + r**3/2 + r**2/2 + r - 5. Determine d(-2). 19 Suppose 3*p - 3*c - 21 = 0, -2*p - 2*c + 4 = 2*p. Let b(z) be the second derivative of -2*z - 1/20*z**5 - 1/2*z**2 + 0 + 1/4*z**4 - 1/3*z**3. Calculate b(p). -7 Suppose -69*v = -68*v - 1. Let f(w) = 2*w - 1. Give f(v). 1 Let u(n) be the third derivative of n**5/20 + n**3/2 + 189*n**2. What is u(2)? 15 Let q(r) be the first derivative of 0*r**3 + 0*r + 7/120*r**6 + 0*r**5 + 2 - 3*r**2 + 0*r**4. Let l(z) be the second derivative of q(z). Calculate l(1). 7 Let x(m) = 2*m + 5. Suppose 0 = -3*a - 2*a - 20. Let s be x(a). Let u be 16/12*s/(-2). Let k(g) = -2*g**3 + g**2 + 2*g - 3. Calculate k(u). -11 Suppose -4 = -4*o - 4*n, 4*o - 3*o + 8 = 2*n. Let x(m) = m**3. Calculate x(o). -8 Suppose -1 = 3*j - 7. Let d(y) = 0*y**j + 2*y - 27*y**3 - 2*y**2 - 3*y**2 + 28*y**3 + 2. Give d(2). -6 Let p = 2 + 3. Let f = -11 + p. Let c = f - 0. Let w(k) = 2*k + 8. Calculate w(c). -4 Let y be 0/(1 + 2) + 3. Suppose 0 = -3*n + 5*f - 2*f, -y*f - 24 = 5*n. Let a(p) = 2*p - 2*p - 4 - p. Determine a(n). -1 Let p(s) = 2*s + 2 - 2*s**2 + 3*s**2 - s. Let i be p(0). Let r(k) = -k**2 + k**2 - 3*k + 0*k**2 - k**i + 1. What is r(-6)? -17 Let g(f) = -f**3 + 8*f**2 - 8*f + 11. Let x be g(7). Let p be -21*(x/12)/1. Let h(w) = -w**3 - 6*w**2 + 7*w - 2. Determine h(p). -2 Suppose -7 - 5 = -4*m. Suppose -12 = 4*l - j, m*l - 2*j + j = -8. Let n(d) = -d**2 - 2*d + 3. Calculate n(l). -5 Suppose -t - d - 2*d - 1 = 0, -6 = -4*t - 2*d. Let m(g) be the third derivative of g**2 + 0*g + 1/12*g**4 + 0 + 1/3*g**3. Determine m(t). 6 Suppose 2*t + 0*t = 4*n + 18, 0 = -5*n + t - 24. Let m(x) = x**3 + 6*x - 6*x + 5*x**2 + x + 5 + 2*x. Give m(n). -10 Let w(k) be the third derivative of -k**4/6 + 3*k**3/2 + 10*k**2 - 3. Give w(-8). 41 Let p = 46 - 37. Let x(n) = 3 + n - 2*n + 10 - p. Let z(a) = -a. Let f be z(-6). Calculate x(f). -2 Let h(r) = 34*r**3 - r**2 - 2*r - 1. Suppose 2*f - 3*j + 14 = 0, -4*f + 2*j - 8 = 4. Calculate h(f). -34 Suppose -3*m + 0*m = 4*w - 28, -3*w = -2*m + 13. Let b(t) be the first derivative of t**3/3 - 5*t**2/2 - 8*t + 19. Determine b(m). 16 Suppose 4*w = -2*b + 19 - 9, -2*b + 10 = w. Let m(l) = -l**3 + 8*l**2 - 5*l + 4. Calculate m(b). 54 Let g(d) = -d - 6. Let z = 12 + -12. Let u(i) = -i**3 + i**2 + 2*i - 7. Let o be u(z). Give g(o). 1 Let d(y) be the first derivative of y**5/60 + y**4/4 + 5*y**3/6 + 3*y**2/2 + 11. Let q(u) be the second derivative of d(u). Determine q(-7). 12 Let i(q) = 11*q - 37. Suppose 0 = 6*x + 33*x - 117. Give i(x). -4 Let h(t) be the second derivative of -t**4/12 - t**3/2 - t**2 - 492*t. Suppose 5*p - 5*a - 2 = -17, 3*p + 9 = -2*a. Determine h(p). -2 Let t be (-2)/3 - 147/63. Let y(r) = -r**2 - 10*r - 4. Let o(p) = p**2 + 11*p + 4. Let b(c) = t*o(c) - 4*y(c). Give b(-6). -2 Let r(j) = -j**2 + 5*j + 28. Suppose -87*d + 567 = -216. Calculate r(d). -8 Let a be 44/7 + 12/(-42). Suppose 5*n = 7 + 3. Let j(v) = v + 4 + n - 2. Give j(a). 10 Let r(o) = o - 2. Suppose 4*z - z = 582. Let m be (-10)/(-55) - z/(-22). What is r(m)? 7 Let v(g) be the third derivative of -g**5/60 + 5*g**4/6 - 9*g**3/2 - 47*g**2 + 2*g. What is v(18)? 9 Suppose -21 = -r - 6*r. Let x(w) = 2*w - 2*w - 3*w**2 + r*w + w**2. Determine x(2). -2 Let m be -3*((-68)/48 - 1/4). Suppose -c = -m*b + 29, 3*c - 17 = c - 5*b. Let g(q) = -q - 5. Determine g(c). -1 Let u be (-160)/26 + (-2)/(-13). Let c(z) = z**3 + z**2 - 10*z - 6. Let y(n) = -2*n**3 - 3*n**2 + 19*n + 12. Let t(o) = 7*c(o) + 4*y(o). Give t(u). 6 Let s(h) = -2*h - 12. Let d be s(-8). Let n(i) = -2*i - 21 + 22 - d*i**2 + 2*i**2. Calculate n(-2). -3 Let j = 9 - 5. Let b be 3/4*(-16)/j. Let u(o) = -o + 39*o**2 + 2*o - 38*o**2. Calculate u(b). 6 Let k(c) = -c**3 + 8*c + 3. Let l be k(-3). Let b(a) = -a**3 + 7*a**2 + 3. Let m be b(7). Let t(v) = 4*v**2 + 1 - 3*v**2 + l*v**2 + 2*v + m*v**2. Give t(-1). 9 Let k = 9 - 13. Let q be 112/21 - k/6. Let p(h) = h - 6. Let i be p(q). Let g(b) = b + 6. Determine g(i). 6 Let g = 21 - 18. Let h(i) = 45*i**3 - 5*i + 2*i**2 - 20*i**3 - 24*i**3 - g. What is h(-3)? 3 Let z(i) = -7*i**2 - i + 2. Suppose -140*n + 8 = -132*n. Determine z(n). -6 Suppose 2*x - 5*x + 8 = -5*v, -v + 8 = x. Let w(n) = n. Let s be w(x). Let q(l) = -7*l + 0*l + 5*l**2 + 0*l - l**3 + s + 2*l. Determine q(4). 2 Let k = 107 + -101. Let y(a) = -a**3 + a + 3*a**2 + 25 + 3*a**2 - 29. Determine y(k). 2 Let q(y) = 2*y + 3. Let j(o) = 4*o + 7. Let n be (-2)/4
{ "pile_set_name": "DM Mathematics" }
en three letters picked without replacement from gascsssasacccctsi? 1/4080 What is prob of sequence hjv when three letters picked without replacement from jvnhv? 1/30 Calculate prob of sequence edri when four letters picked without replacement from {e: 3, d: 1, s: 2, r: 3, i: 2, v: 1}. 1/660 What is prob of sequence tt when two letters picked without replacement from etzdtetzezezezttttd? 7/57 Calculate prob of sequence ocl when three letters picked without replacement from {i: 2, c: 6, l: 1, o: 4}. 2/143 Four letters picked without replacement from myquluq. What is prob of sequence lquy? 1/210 Four letters picked without replacement from {a: 2, m: 4, k: 2}. What is prob of sequence amkm? 1/35 Calculate prob of sequence ww when two letters picked without replacement from pwwpp. 1/10 Calculate prob of sequence bf when two letters picked without replacement from {f: 4, r: 2, b: 1}. 2/21 Four letters picked without replacement from nnscscnsncsssncss. Give prob of sequence nnns. 1/119 Two letters picked without replacement from {u: 5, s: 6, y: 1, z: 3, m: 1, f: 1}. Give prob of sequence ym. 1/272 Two letters picked without replacement from ystsxass. Give prob of sequence ts. 1/14 What is prob of sequence jj when two letters picked without replacement from jjbbjbbbbbjbbnbbanb? 2/57 Four letters picked without replacement from lkwwk. Give prob of sequence kwwk. 1/30 Calculate prob of sequence fch when three letters picked without replacement from {f: 6, s: 1, c: 4, h: 7}. 7/204 Four letters picked without replacement from oogooiqzoggqgogfgioo. Give prob of sequence zioo. 14/14535 Four letters picked without replacement from {c: 3, o: 4}. Give prob of sequence ococ. 3/35 Calculate prob of sequence ttcg when four letters picked without replacement from cgtggtgctg. 1/84 What is prob of sequence rs when two letters picked without replacement from sssssssssssr? 1/12 Calculate prob of sequence kv when two letters picked without replacement from vvcaavcvakcvc. 5/156 Calculate prob of sequence ioso when four letters picked without replacement from {s: 1, o: 2, y: 7, i: 5, m: 1}. 1/4368 Four letters picked without replacement from {a: 9, s: 7}. Give prob of sequence ssss. 1/52 Four letters picked without replacement from {u: 2, v: 2, m: 4, s: 5}. What is prob of sequence vsmv? 1/429 Two letters picked without replacement from {t: 10}. What is prob of sequence tt? 1 What is prob of sequence zz when two letters picked without replacement from zzz? 1 Four letters picked without replacement from ioudiiuuilwiiuw. What is prob of sequence luwu? 1/1365 Four letters picked without replacement from wboeewwezbbeooibeb. What is prob of sequence iwoo? 1/4080 Two letters picked without replacement from ivveiive. What is prob of sequence ev? 3/28 Two letters picked without replacement from xhxfxqppzfxxxqzxpqxx. What is prob of sequence xp? 27/380 Calculate prob of sequence ooo when three letters picked without replacement from ooooo. 1 Three letters picked without replacement from fdnfd. Give prob of sequence fdd. 1/15 Three letters picked without replacement from wcwaacaadaaadcaay. What is prob of sequence ayy? 0 Calculate prob of sequence gq when two letters picked without replacement from {g: 1, n: 1, q: 1, s: 1, x: 1}. 1/20 Two letters picked without replacement from {t: 2, j: 4, s: 6}. What is prob of sequence sj? 2/11 Four letters picked without replacement from ijbwijvjbdbv. Give prob of sequence bvjd. 1/660 Calculate prob of sequence yy when two letters picked without replacement from xyxxyxxy. 3/28 Calculate prob of sequence btq when three letters picked without replacement from {q: 1, t: 1, r: 3, b: 2, o: 3}. 1/360 Two letters picked without replacement from {m: 3, o: 7, a: 2}. What is prob of sequence ao? 7/66 What is prob of sequence arqa when four letters picked without replacement from rzraazqq? 1/210 Three letters picked without replacement from {l: 5, e: 1, p: 5, a: 1, d: 1, f: 1}. Give prob of sequence dla. 5/2184 What is prob of sequence xxxs when four letters picked without replacement from sxsgslxxsgsg? 1/396 Four letters picked without replacement from {f: 2, x: 7, v: 1, h: 1, s: 3}. Give prob of sequence shss. 1/4004 Two letters picked without replacement from {w: 1, j: 1, r: 5, b: 5}. Give prob of sequence rb. 25/132 Three letters picked without replacement from souoeueeeeueese. Give prob of sequence sus. 1/455 What is prob of sequence ss when two letters picked without replacement from eeseeess? 3/28 Three letters picked without replacement from {n: 3, a: 6, q: 1, y: 2, z: 6}. Give prob of sequence nyz. 1/136 Calculate prob of sequence unp when three letters picked without replacement from {u: 1, l: 5, p: 1, h: 3, a: 4, n: 1}. 1/2730 Three letters picked without replacement from {i: 4, s: 5, x: 1, o: 1}. What is prob of sequence xio? 2/495 Calculate prob of sequence gggg when four letters picked without replacement from ggegegeeeegee. 1/143 Four letters picked without replacement from {k: 3, c: 3}. Give prob of sequence kckc. 1/10 Two letters picked without replacement from tptsvvvvjspjwjj. What is prob of sequence jw? 2/105 Calculate prob of sequence fidu when four letters picked without replacement from {u: 3, d: 1, i: 2, w: 1, f: 3}. 1/280 Calculate prob of sequence cjtu when four letters picked without replacement from uuqjwjqqjctq. 1/1980 Three letters picked without replacement from {g: 3, b: 4, n: 2, i: 1, z: 2, a: 3}. Give prob of sequence aga. 3/455 Two letters picked without replacement from bggggrgopgoogrdrdgd. Give prob of sequence gg. 28/171 What is prob of sequence olel when four letters picked without replacement from {l: 2, f: 2, e: 1, q: 1, o: 1}? 1/420 Two letters picked without replacement from {p: 7}. What is prob of sequence pp? 1 What is prob of sequence ses when three letters picked without replacement from eeeyseysyyysssy? 8/273 What is prob of sequence nno when three letters picked without replacement from nooooonnnnoooooono? 5/68 Calculate prob of sequence htbs when four letters picked without replacement from ssttshbnnbns. 2/1485 What is prob of sequence trt when three letters picked without replacement from {j: 3, o: 1, r: 2, t: 3, b: 1}? 1/60 What is prob of sequence be when two letters picked without replacement from {p: 1, b: 4, l: 1, e: 11, a: 1}? 22/153 Two letters picked without replacement from {j: 1, s: 6, u: 4, x: 4}. What is prob of sequence xu? 8/105 Two letters picked without replacement from {d: 1, c: 2, q: 2}. What is prob of sequence cc? 1/10 Three letters picked without replacement from utue. Give prob of sequence euu. 1/12 Two letters picked without replacement from neeeeeennee. Give prob of sequence en. 12/55 Three letters picked without replacement from rraararraaarr. What is prob of sequence rar? 21/143 What is prob of sequence rjj when three letters picked without replacement from {r: 10, j: 9}? 40/323 Calculate prob of sequence ogt when three letters picked without replacement from {j: 1, g: 6, o: 6, t: 4}. 3/85 What is prob of sequence uu when two letters picked without replacement from uuuuuu? 1 Four letters picked without replacement from {j: 10}. What is prob of sequence jjjj? 1 Four letters picked without replacement from qtqqqqtttqtq. What is prob of sequence qqqq? 7/99 What is prob of sequence qjq when three letters picked without replacement from {j: 2, q: 3}? 1/5 Two letters picked without replacement from jvvhjjjvvsqvjsj. What is prob of sequence vj? 1/7 Two letters picked without replacement from {w: 1, s: 1, o: 1}. What is prob of sequence ws? 1/6 Calculate prob of sequence lxx when three letters picked without replacement from lxlllxllllllllllllxl. 17/1140 What is prob of sequence cd when two letters picked without replacement from cfscdccdfcsdgcsf? 3/40 Two letters picked without replacement from {m: 1, c: 1, b: 2}. What is prob of sequence mc? 1/12 Two letters picked without replacement from lpllwwvppl. Give prob of sequence vl. 2/45 Three letters picked without replacement from {o: 1, i: 1, s: 1, g: 1, t: 1}. What is prob of sequence gto? 1/60 Two letters picked without replacement from {l: 2, g: 3}. What is prob of sequence gl? 3/10 What is prob of sequence ejjj when four letter
{ "pile_set_name": "DM Mathematics" }
Let s = -1381/12 - -652/3. Let q = s + -102. Let m = 0 + 0.1. Which is the closest to m? (a) 1/3 (b) q (c) -5 b Let p be (1/(-6))/(-1) + 893/114. Suppose 35*z - 31*z = -p. Which is the closest to 1/2? (a) 2/5 (b) z (c) 5 a Let y = 1891 + -1891. Which is the nearest to y? (a) -2/9 (b) -3/13 (c) -4/5 a Let l = 8.7 - 3.7. Let c = 2/51 + -61/255. What is the nearest to -19 in -0.5, c, l? -0.5 Let h = 1.96 + -1.8. Let m = 0.04 + h. What is the closest to m in -1, -2/5, 2/3? 2/3 Let v = 0.4 - 1.4. Let h(k) = 6*k + 285. Let d be h(-48). Which is the closest to d? (a) 0.3 (b) v (c) -4 c Let o = 45 + -45.4. Let d = -1.2 + 1. Which is the nearest to 2? (a) 0 (b) o (c) d a Let v = 0.08 - 5.08. Let y = -686.9 - -687. Which is the nearest to y? (a) -4 (b) 1 (c) v b Let k = -3.2 + 7.2. Let a = -23.1 - -23. What is the closest to -2/9 in 2, a, k? a Let j = 82 - 81.5. Let s = -1.2 + 0.8. What is the nearest to -2 in s, 7, j? s Let s = -2/5111 + 746220/35777. Let h = s - 143/7. Let d = -0.5 - -0.1. Which is the closest to 0.2? (a) d (b) h (c) -2 b Let i = -300.02 + 300. Let z be (0 - -3)*2/24. Which is the closest to 1/2? (a) z (b) -2 (c) i a Let z be 3 - 7 - (-1081)/156. Let j = -37/12 + z. Let d = 3 - 6. What is the nearest to 0.3 in j, d, -2? j Let f = -1404.29 + 1395. Let u = f - -9.4. Which is the nearest to -1/5? (a) 1 (b) -3 (c) u c Suppose 5*f = 5*j - 10, 3*j + 4*f = 10 + 3. Let o = j + -7. Let i be o/(-14)*(-7)/(-6). What is the nearest to 3 in i, -1, -2/11? i Let x = -0.2 - -4.2. Let r = 0.93 - 0.81. Which is the nearest to r? (a) x (b) -5 (c) 2 c Suppose z + 7 = -f, -46 = -4*z + 8*z - 2*f. Let i be 8/(-60)*-3 - 16/z. Which is the nearest to -0.1? (a) i (b) -2/5 (c) -2/3 b Let p = -346 + 348. Let d = 3 + -3.4. Which is the closest to -1? (a) 0.1 (b) p (c) d c Let o = 45/4 + -487/44. Let w be (2 - -2)/(-1) - 20/(-10). Which is the nearest to w? (a) 0 (b) 0.4 (c) o a Let z = -0.691 - -1.191. Which is the nearest to 4? (a) -3/13 (b) 4 (c) z b Let z = -102.7 + 101.7. Let m = -3.2 + 0.2. Let g be (2/3)/(1/3). What is the nearest to z in m, g, -0.4? -0.4 Let v = 0.26 + -0.15. Let k = 49.91 + -50. Let q = k - v. Which is the nearest to 1/5? (a) -0.3 (b) 3 (c) q c Let q = 12 + -11. Let n = -14 - q. Let w = n + 7. Which is the nearest to 0.1? (a) -0.2 (b) 1/5 (c) w b Let s = 4.003 + -0.003. Let w = -1.7 + 24.7. Let k = -28 + w. Which is the nearest to 1? (a) s (b) 2 (c) k b Suppose -s = -3*s + 46. Let y = s - 22. Let l = -11 - -6. Which is the nearest to y? (a) 0.2 (b) l (c) -1 a Let r = 31 - 33. Let s be (-112)/(-36) - r/(-18). Suppose 2*q + 10 = q + 4*b, -19 = -5*q - s*b. What is the closest to -1 in -3, 1/2, q? 1/2 Let j = 2.09 + -7.09. Which is the closest to -1? (a) j (b) -147 (c) 3/7 c Let q = -21/19 + 109/133. Let a = -3.9 - 1.1. Let n = 10 + a. What is the nearest to q in 1, n, -1? -1 Let s = 4.1 + -0.1. Let q = 6.8 - 80.8. Let t = q - -75. What is the nearest to t in s, 2, 2/11? 2/11 Let q = 6 + -6.4. Let t = 2095 - 18853/9. What is the nearest to -1/3 in -6, t, q? q Let u = -91/150 + -3/50. Let l be (24/30)/((-2)/10). Let t be (l/(-5))/((-2)/(-10)). Which is the closest to -1/2? (a) t (b) -0.5 (c) u b Let i(p) = 2*p**2 - 9*p + 9. Let s be i(4). Let w = -8 - -14. Let h = w + -6.1. Which is the nearest to -1? (a) h (b) s (c) 2/5 a Let s = 0.0345 - 5.0345. What is the nearest to 5 in 4/7, 0.11, s? 4/7 Let w be -4*(-3)/8*4/10. Let y = 2 - 1.04. Let z = y - -0.04. What is the closest to z in w, -3/4, 3? w Suppose 0 = 47*q + 47*q. Which is the closest to -0.02? (a) 3 (b) -4/3 (c) q (d) 0.5 c Let j = -16 + 11. Let d = 0 + 1.2. Let w = d - 1.2. What is the closest to 5 in w, j, 0.3? 0.3 Let v = 7 - -19. Let u = v - 26. What is the closest to u in -4/3, 3, -4? -4/3 Let v = 76 + -76. Let w = -0.25 + 5.25. Which is the closest to -0.4? (a) v (b) w (c) 2/7 a Let v = -2581/21 - -123. Which is the nearest to 2/5? (a) -5/6 (b) v (c) -1 b Let v = 76/265 - -6/53. What is the closest to -1/3 in -7, 3/8, v? 3/8 Let s = 0.82 + 0.28. Let w = s - 3.1. Let d = -5 + 4.9. Which is the nearest to d? (a) 2 (b) w (c) -0.2 c Let o = 1649 - 1643. Which is the nearest to -0.6? (a) 1/2 (b) 2/9 (c) o (d) -0.4 d Let p = -5.8 - -0.8. Let s = -729.1 - -729. Which is the closest to s? (a) 0.2 (b) 0.3 (c) p a Let v be (-70)/150 - (-5 - 73/(-15)). Let o = 0 - 0. Which is the nearest to o? (a) -3 (b) v (c) 1 b Let q = -637 + 670. What is the nearest to q in 2/9, -1, 0.2? 2/9 Let m = 275 + -2197/8. Let w be 8*((-2)/(-4))/1 + (-2376)/540. What is the nearest to m in w, 4, -0.5? w Suppose -4*g + 4*i - 16 = 0, 3*g - 4*i + 1 + 13 = 0. Let y be (4/6*-2)/g. Let o = 12.5 + -12.6. Which is the nearest to y? (a) -0.3 (b) -1 (c) o c Let y = -1077.9 + 1078. Which is the nearest to -0.4? (a) y (b) -3/5 (c) 1 b Let j = -0.3854 + -61.5946. Let g = -62 - j. Which is the nearest to 0.3? (a) -2 (b) g (c) -0.3 b Let t = 49.69 + -49. Let k = t - -4.41. Let n = 5 - k. What is the nearest to -1 in n, 3/4, -0.5? -0.5 Let t = 0.05 - -3.95. Let h = 4 - t. Let v = 144 - 147. Which is the nearest to h? (a) 5 (b) v (c) 2 c Let x = 45.9 + 147.1. Let o = -226.2 + x. Let b = o + 33. What is the nearest to -0.1 in -1/2, 3/5, b? b Let w be 2 - 0 - 13/8. Suppose 11*x = 27*x. Which is the closest to x? (a) -0.02 (b) 2 (c) w a Let v = 859 + -861. What is the closest to v in -3/7, 2, 0.2? -3/7 Let w = 301 + -302. Which is the nearest to w? (a) -0.3 (b) -2/3 (c) 4 (d) 0.05 b Let i be (-9)/(-36)*(-1 - (-26)/10). What is the nearest to 1 in 0, i, 5, 1/2? 1/2 Let o = 9.23 + -0.23. Let v = -66/31 - -295/124. What is the closest to v in 2, -1/3, o? -1/3 Let g be ((-12)/14)/(415/(-70) + 4). Let q = 14 + -69/5. Which is the closest to 2? (a) q (b) g (c) -5/3 b Let o = -3.62 - 0.48. Let y = o + 8.1. Which is the nearest to 1? (a) 1 (b) -0.4 (c) y a Let n = -1 - -1.2. Let m(s) = s - 38. Let w be m(42). What is the closest to 0.7 in -3, w, n? n Let w = -45 + 44.5. Let x = 2 + -2. Let m = -0.46 + 0.06. What is the closest to 1 in m, w, x? x Let c be (-13)/(-18) + (-8)/36. Let l = -3.39 + 0.39. What is the closest to 1/4 in l, -1, c? c Let u = 1.11 - 7.41. Let l = -2.8 - u. Let n = 3.5 - l. Which is the nearest to n? (a) -2/5 (b) 4 (c) 2/11 c Let f = 8/35 + -142/315. Which is the nearest to -0.1? (a) f (b) -2/3 (c) -127 (d) 2 a Let h(x) be the first derivative of 5*x + 1/2*x**2 + 3. Let i be h(-8). Which is the closest to -1/3? (a) -2/3 (b) i (c) -4 a Let d = -87/2 + 131/3. What is the closest to -1 in 0.2, d, 3? d Let w = 1512 + -1505. Which is the nearest to -9? (a) 5 (b) 4 (c) w b Let q be (4 - (-18)/(-5))/(873/(-15)). What is the closest to q in 2, -5, 0.3? 0.3 Let s = 4.2 - 7. Let p = 0.01 - 0.81. Let g = s - p. What is the closest to 1/3 in 0, g, 0.1? 0.1 Let s = 8.2 + -8.4. Let z be (-50)/28*(-1422)/(-15). Let t = 169 + z. Which is the closest to t? (a) s (b) 5 (c) 0 a Let m = 20.2 - 5.2. What is the nearest to -2 in -0.2, m, -5? -0.2 Let z = -15.9 - -15.9. What is the closest to 0.1 in 1, -5/39, z? z Suppose -2*f + 94 = -4*g, -4*g - 5*f + 19 = -5*g. Which is the nearest to 0? (a) g (b) 5 (c) 1/7 c Let k = -209 - -212. Which is the closest to -0.1? (a) -2/15 (b) k (c) -2/5 a Let r(w) = w**3 - 11*w. Let m be r(0). Which is the nearest to -1? (a) m (b) 9/7 (c) -15/4 a Let g = 0.2 - -0.8. Let x = -9811/6542 + -1/3271. Which is the closest to -0.1? (a) 0.5 (b) g (c) x a Let m = 0.199 - 4.199. Which is the closest to 2? (a) m (b) -1 (c) 1 (d) 0.3 c Let j = 752 - 751. Let y = 7/52 - 5/13. Which is the closest to y? (a) j (b) -2 (c) 3 a Let l = 12 - 41. Let g = 22.7 - -7.3. Let p = g + l. Which is the closest to p? (a) 4 (b) 2/11 (c) -3 b Let f = 0.1 - 0.3. Let b = 17 - 19. Let a = 26 + -30. What is the nearest to -1/3 in f, b, a? f Let n = 35 - 40. Let m = -1 + 1. Let r = m - -3. Which is the closest to 2/3? (a) n (b) r (c) -3 b Let p = -29.7 + 29.6. Which is the nearest to p? (a) -1 (b) -3/2 (c) -4 a Let d = -88 - -87. Let z = 10 + -5. Let v = -8 + z. Which is the closest to d? (a) 4 (b) v (c) 0.3 c Let h = -3/70 - -31/70. Which is the closest to -1/3? (a) 1/49 (b) 5 (c)
{ "pile_set_name": "DM Mathematics" }
2, y: 1}? 7/90 Calculate prob of sequence vu when two letters picked without replacement from uuuuvgmum. 5/72 Two letters picked without replacement from ggwgugggvggbgg. Give prob of sequence vb. 1/182 Calculate prob of sequence bpek when four letters picked without replacement from ekelekkbbpebepp. 3/728 Calculate prob of sequence fh when two letters picked without replacement from fffffffffffhffnf. 7/120 Four letters picked without replacement from agpcpvau. What is prob of sequence uppc? 1/840 Three letters picked without replacement from dyidyidydd. Give prob of sequence iyd. 1/24 What is prob of sequence rr when two letters picked without replacement from rrssdrrrrr? 7/15 Two letters picked without replacement from {m: 3, v: 12}. Give prob of sequence vv. 22/35 Two letters picked without replacement from ttt. What is prob of sequence tt? 1 Three letters picked without replacement from {f: 4}. What is prob of sequence fff? 1 Three letters picked without replacement from {y: 1, r: 3, j: 3, d: 1, a: 2, w: 3}. What is prob of sequence wjw? 3/286 Calculate prob of sequence uuy when three letters picked without replacement from yuvyjoy. 0 Calculate prob of sequence jkj when three letters picked without replacement from jjjjkkkjjkjjjjjjjjj. 140/969 Two letters picked without replacement from hqqhqqqhhhqhqqhhhqqh. What is prob of sequence qh? 5/19 Calculate prob of sequence gog when three letters picked without replacement from ggooggoggogogoogoog. 45/323 Three letters picked without replacement from ixgppsus. Give prob of sequence gpx. 1/168 Three letters picked without replacement from ttettyttttytttnnvt. What is prob of sequence nne? 1/2448 What is prob of sequence mrm when three letters picked without replacement from rrmmmmmrrrrrrmmmmr? 9/68 Three letters picked without replacement from {k: 2, a: 1, h: 3, z: 13, y: 1}. What is prob of sequence zay? 13/6840 Calculate prob of sequence eec when three letters picked without replacement from eieeiieeiiecii. 5/364 What is prob of sequence dxx when three letters picked without replacement from ixiidxxxxixiidxxd? 7/170 Four letters picked without replacement from {a: 1, q: 9, j: 6, e: 2}. Give prob of sequence jjeq. 1/136 Three letters picked without replacement from kkwcplw. Give prob of sequence kpc. 1/105 Four letters picked without replacement from {t: 2, u: 1, j: 1, z: 1, l: 1, a: 2}. What is prob of sequence autz? 1/420 Two letters picked without replacement from moowo. What is prob of sequence om? 3/20 Four letters picked without replacement from {v: 2, r: 3, h: 7, m: 5}. What is prob of sequence rhhr? 3/680 Three letters picked without replacement from {g: 2, v: 6, s: 1, t: 2}. Give prob of sequence vgt. 4/165 Three letters picked without replacement from {e: 7, w: 2, n: 1, k: 3, b: 4}. Give prob of sequence ewn. 7/2040 Calculate prob of sequence hhl when three letters picked without replacement from {y: 3, l: 6, h: 4}. 6/143 Three letters picked without replacement from {g: 3, a: 3, u: 13}. What is prob of sequence gua? 13/646 Calculate prob of sequence mh when two letters picked without replacement from mtmhththhtithhhmthmt. 8/95 Calculate prob of sequence st when two letters picked without replacement from {t: 1, s: 3, y: 3}. 1/14 Four letters picked without replacement from pppppyppyjxxjpx. What is prob of sequence yjxj? 1/2730 Calculate prob of sequence lv when two letters picked without replacement from ltvtttl. 1/21 Two letters picked without replacement from eorkckzzeez. Give prob of sequence cr. 1/110 Calculate prob of sequence cc when two letters picked without replacement from {c: 5, j: 2, b: 4}. 2/11 Four letters picked without replacement from ryzyfzzyrfzzzzyyz. What is prob of sequence yzfy? 2/357 Four letters picked without replacement from oafffsosfa. Give prob of sequence aosa. 1/630 Three letters picked without replacement from {g: 2, p: 1, d: 3, f: 1, z: 3, q: 2}. What is prob of sequence pdf? 1/440 Two letters picked without replacement from {z: 2, e: 1, h: 1, d: 2, q: 2}. What is prob of sequence qd? 1/14 Three letters picked without replacement from wdncizn. What is prob of sequence dcw? 1/210 Calculate prob of sequence xxsx when four letters picked without replacement from {x: 3, s: 5}. 1/56 Calculate prob of sequence evyy when four letters picked without replacement from {v: 1, m: 2, e: 4, y: 6}. 1/143 What is prob of sequence dx when two letters picked without replacement from ksdvkxkssyydvs? 1/91 Four letters picked without replacement from {l: 5, q: 7}. What is prob of sequence qqlq? 35/396 Four letters picked without replacement from echhhececwhhcee. What is prob of sequence cchh? 2/273 Four letters picked without replacement from gggqfqgfy. What is prob of sequence fygg? 1/126 What is prob of sequence bo when two letters picked without replacement from oobbvvbbobvlolo? 5/42 What is prob of sequence ydd when three letters picked without replacement from {y: 5, d: 2, q: 2}? 5/252 Calculate prob of sequence nbz when three letters picked without replacement from lnblzlllnnbllbllbbb. 1/323 Three letters picked without replacement from {t: 2, u: 2}. Give prob of sequence utu. 1/6 Three letters picked without replacement from hhhhhhttth. What is prob of sequence hht? 7/40 What is prob of sequence ccom when four letters picked without replacement from mgcmmccgomg? 1/330 What is prob of sequence rr when two letters picked without replacement from erhejehereeeerrher? 10/153 Two letters picked without replacement from {g: 1, h: 12, b: 7}. Give prob of sequence hh. 33/95 Calculate prob of sequence sj when two letters picked without replacement from {s: 2, j: 8}. 8/45 What is prob of sequence fcww when four letters picked without replacement from {w: 5, f: 3, c: 2, b: 2}? 1/99 Calculate prob of sequence nt when two letters picked without replacement from {t: 4, n: 8, x: 1, f: 2, e: 1}. 2/15 What is prob of sequence vwg when three letters picked without replacement from wwwwwvwwgvvvgwww? 1/42 Calculate prob of sequence oe when two letters picked without replacement from {s: 1, e: 2, o: 1}. 1/6 Calculate prob of sequence nvqv when four letters picked without replacement from qqqqqvnnqqvn. 7/1980 Four letters picked without replacement from {q: 2, u: 3, e: 5, m: 4, o: 5}. Give prob of sequence ueoq. 25/15504 Four letters picked without replacement from {c: 6, w: 2}. What is prob of sequence wwcc? 1/28 Two letters picked without replacement from {q: 1, x: 2, j: 4, u: 1}. Give prob of sequence jj. 3/14 Four letters picked without replacement from {m: 2, f: 1, u: 1, a: 1}. Give prob of sequence fmua. 1/60 Four letters picked without replacement from zzzzazzazvzvvv. Give prob of sequence aazz. 2/429 What is prob of sequence gx when two letters picked without replacement from {x: 1, g: 1, i: 2, s: 1, m: 1, a: 2}? 1/56 What is prob of sequence el when two letters picked without replacement from qkelkktqkeqqtqqqqqe? 1/114 Calculate prob of sequence xkw when three letters picked without replacement from wkkkkxkkk. 1/72 Three letters picked without replacement from tqclccccnl. Give prob of sequence qct. 1/144 What is prob of sequence ifzv when four letters picked without replacement from vvcffctzzcvcvi? 2/3003 Four letters picked without replacement from {h: 1, n: 1, j: 6, d: 1, o: 3}. What is prob of sequence hodn? 1/3960 Two letters picked without replacement from evvevv. What is prob of sequence ev? 4/15 Three letters picked without replacement from {u: 4, t: 6}. Give prob of sequence tuu. 1/10 Three letters picked without replacement from {y: 4, b: 1, h: 2, r: 2, f: 1}. What is prob of sequence hyr? 1/45 Two letters picked without replacement from lkkkkkktkqklkklqv. What is prob of sequence ll? 3/136 Three letters picked without replacement from {n: 1, b: 1, d: 4, y: 2, e: 1}. Give prob of sequence bne. 1/504 Two letters picked without replacement from qwww. What is prob of sequence qw? 1/4 What is prob of sequence rrp when three letters picked without replacement from wrjrrwrrqwipjjwprjrw? 7/570 Two letters picked without replacement from {r: 1, g: 1, o: 1, v: 1, x: 1}. Give prob of sequence xg. 1/20 Calculate prob of sequence fu when two letters picked without replacement fro
{ "pile_set_name": "DM Mathematics" }
Suppose -m = 7*n - 3*n. What is the tens digit of 1/(n/9) + 36? 3 Suppose 0 = 12*l - 1279 - 233. What is the hundreds digit of l? 1 Suppose 0 = 33*y - 27*y - 2742. What is the hundreds digit of y? 4 Suppose -3*x = -9*x + 36. Suppose 468 - 1494 = -x*q. What is the hundreds digit of q? 1 Suppose 5*p - 5*d = 1305, -2 - 2 = 4*d. Suppose -3*z + 4*m + 273 = 37, -2*m + p = 3*z. What is the tens digit of z? 8 Let r(w) = 8*w**3 - w**2 - w + 1. Let j be r(1). Let u(o) = 12*o + 2*o**3 - 292*o**2 + 303*o**2 - j - o**3. What is the tens digit of u(-9)? 4 Let d be (-2 - (-18)/3) + -3. Let k(v) = 2*v + 1. Let a be k(d). Suppose -a*c + 14 = -10. What is the units digit of c? 8 Let i = -52 + -24. Let b = -51 - i. What is the units digit of b? 5 Let m = 6 + -23. Let w = -15 - m. Let l(b) = b. What is the units digit of l(w)? 2 Let g be 3/(-45)*-5*-3. What is the tens digit of (7 - g)*(1 - -7)? 6 What is the units digit of 18879/(-84)*(-3)/((-6)/(-8))? 9 Let t = 28 - 24. Suppose 7 = t*r - 45. What is the tens digit of r? 1 Suppose -9*g - p = -8*g - 259, -g + 250 = -2*p. What is the tens digit of g? 5 Suppose 2465 = -3*v + 14534. What is the tens digit of v? 2 Suppose 0 = 5*a + 4*g - 81 - 75, -3*g = 3*a - 96. Let y = 110 - a. Suppose -y = -3*j + 41. What is the units digit of j? 1 Suppose -5*w = h - 6*h + 115, 2*w - h = -41. Let u = 66 + w. What is the units digit of u? 8 Let s(p) = -103*p + 10. Let w(i) = -i - 1. Let j(k) = s(k) + 4*w(k). What is the hundreds digit of j(-1)? 1 Let a(j) = -j**3 + 10*j**2 - 8*j + 7. Suppose 0 = -7*t + 3*t + 24. What is the tens digit of a(t)? 0 Suppose -3*h = 0, 0*w - 216 = -3*w - 4*h. Let x = w - 47. What is the tens digit of x? 2 Let o = 35 - 30. Suppose k + 4*j = 2 + 9, 17 = o*k + j. Suppose 2*t + 8 = 0, -k*d + t + 32 = d. What is the units digit of d? 7 Let c = 4023 - 1294. What is the hundreds digit of c? 7 Let v = 35 - 36. What is the units digit of v*(-305)/5 + -2? 9 Suppose -2*l + 0 + 6 = 0. Suppose -l*d + 201 + 105 = 0. Let j = -52 + d. What is the units digit of j? 0 Let y = -36 + 42. Suppose k + 8 = w, -2*k = -y - 4. What is the units digit of w? 3 Let g = 202 - -1087. What is the units digit of g? 9 Let r = 1897 + -1685. What is the tens digit of r? 1 Suppose g + 96 - 21 = -2*t, 2*g + 5*t + 147 = 0. What is the tens digit of (-5)/(20/16) - g? 7 Let o = 6 + -9. Let x = o - -15. Let b = x + 21. What is the units digit of b? 3 Suppose -485*n + 17805 = -480*n. What is the units digit of n? 1 Suppose -844 = -18*s - 2284. Suppose 0 = -3*c + 3, 4*f = 2*f - 5*c - 39. Let q = f - s. What is the tens digit of q? 5 Let z(j) = 10*j**2 - 9*j + 0 - 9*j**2 - 1 - 2*j**2. What is the units digit of z(-7)? 3 Let i be (-4648)/(-24) + (-4)/6. Suppose 3*j - 92 - i = 0. What is the tens digit of j? 9 Let j = -24 - -72. Suppose j = 8*n - 328. What is the tens digit of n? 4 Let r(l) = -15*l + 10. Suppose 3*x = x + 2*i - 18, 5*i - 37 = 3*x. What is the units digit of r(x)? 0 Let n(j) = -17*j - 23 - j - 12*j. What is the tens digit of n(-6)? 5 Let w be (-140)/(-18) - (329/(-63) - -5). Suppose -w*k + 13*k = 390. What is the units digit of k? 8 Let t(s) = 223*s - 11. What is the hundreds digit of t(24)? 3 Let d(f) = f**3 + 4*f**2 - 6*f + 2. Let m be d(2). Let y(s) = -s**2 - 3*s + 8. Let g be y(-6). Let q = m - g. What is the tens digit of q? 2 Let f = 11 - 5. Suppose 0 = -5*k + 2*o, k - 2*o = 3*o. Suppose 252 = f*q - k*q. What is the tens digit of q? 4 Let c be (9/(-6))/((-9)/2424). Let o = c + -151. What is the units digit of o? 3 Let y(a) = 156*a**2 - 5*a - 1. What is the hundreds digit of y(-3)? 4 Suppose 9 - 1 = 2*f, -5*u = -3*f - 3588. What is the hundreds digit of u? 7 Let l = 2012 + -1282. What is the hundreds digit of l? 7 Suppose -51*s = -104599 + 12238. What is the units digit of s? 1 Suppose -3 = -12*a + 13*a. What is the units digit of 2/(a - 537/(-177))? 9 Let r(t) = t**3 + 7*t**2 - t - 3. Let h be r(-7). Suppose 0 = b - l + 2*l - 32, -h*b + 128 = -3*l. What is the units digit of b? 2 Let k be 3*(-5)/((-45)/6). Let v be (-3)/9*(-23 + k). Let p(j) = j**3 - 9*j**2 + 17*j - 5. What is the units digit of p(v)? 6 Let z = -3 - -9. Suppose -3*a + s = -84, z*a = 3*a + 4*s + 75. Let g = a - -11. What is the units digit of g? 0 Let i be 164 + 0 - (-7 - -6). Suppose 6*w = -33 + i. Suppose 12 = -l + w. What is the tens digit of l? 1 Let p(r) = -r**3 - 4*r**2 - 5*r - 204. Let j(x) = -x**3 - 4*x**2 - 4*x - 203. Let s(g) = -4*j(g) + 3*p(g). What is the units digit of s(0)? 0 Let l = -3098 + 4442. What is the units digit of l? 4 Let c = -753 - -4484. What is the tens digit of c? 3 Let a(n) = 8*n**2 + 24*n + 6. What is the tens digit of a(-6)? 5 Suppose -24*d = -5*d - 12217. What is the units digit of d? 3 Suppose -9*o - 212 = -10*o - s, 3*o - 5*s = 604. What is the hundreds digit of o? 2 Suppose -643 - 315 = -2*r. Suppose -19 = 5*i - r. What is the units digit of i? 2 Suppose -17 = -3*v + p + 29, 4*v + 2*p - 78 = 0. Suppose 285 = v*x - 2027. What is the hundreds digit of x? 1 Suppose c = -r + 9, 0*r = r - 4*c - 14. Let y(k) = -k**3 + 9*k**2 + 11*k + 5. What is the tens digit of y(r)? 1 Suppose 3*t - 9 = 2*x, 2*x - 1 + 5 = 2*t. Suppose -w + 29 = -3*b, x*b + 132 = 4*w - b. Suppose -5*o + 145 = w. What is the tens digit of o? 2 Let m = 1434 - 174. What is the tens digit of m? 6 Suppose 20*b + 15*b - 106330 = 0. What is the thousands digit of b? 3 Suppose 0 = -c + 8*c - 28. Suppose 0 = c*m - m - 84. What is the tens digit of m? 2 What is the thousands digit of (-404226)/(-119) + 2/14? 3 Let k(z) = z**2 + 9*z - 5. Let r be k(-7). Let t = r + 35. What is the units digit of t? 6 Let a(r) = 13*r**2 + 15*r - 21. What is the tens digit of a(2)? 6 Let b be ((-5)/4)/((-6)/312). Let v = -36 + b. What is the tens digit of v? 2 Let l be 29/1 - 0/(-2). Suppose l + 26 = 5*b. Let u = 26 - b. What is the tens digit of u? 1 Suppose -4*l - 36 = -8*l + 4*a, 42 = 2*l + 4*a. Let j = -9 + l. Suppose 0 = j*k - 22 - 6. What is the units digit of k? 7 Suppose 4*o = -0*o - 4, -b + 3*o + 411 = 0. What is the tens digit of b? 0 Let s(g) = -g**2 - 24*g - 20. Let n be s(-23). Suppose n*f - 58 = -3*p + 2, -32 = -2*f + 2*p. What is the tens digit of f? 1 Let d = 17 - 13. Suppose d = m - 0*m. Suppose -23 - 2 = -m*u + p, 3*p + 15 = 0. What is the units digit of u? 5 Let i be 295 + -3 + (-16)/(-4). Let f be (i/5)/(1/(-5)). What is the tens digit of (-9)/27 - f/6? 4 Let w(l) = -l**3 + 3*l - 2*l - 1 + 3*l - l**2 + 4*l. Let d(x) = x**3 - x**2 - x. Let c(q) = 2*d(q) + w(q). What is the tens digit of c(4)? 3 Let y be (1 - 15/6)/((-3)/(-8)). What is the units digit of (-930)/(-40) - (-1)/y? 3 Let w = 421 + 1187. What is the units digit of w? 8 Let r = 187 - -309. What is the units digit of r? 6 Suppose -3*h = h - 3092. What is the tens digit of h? 7 Let v(l) be the first derivative of -3 + 4*l**3 + 1/4*l**4 + 2*l + 9/2*l**2. What is the tens digit of v(-11)? 2 Suppose 100 + 140 = 12*d. Let m(p) = p**2 + 5*p - 3. Let h be m(-4). Let i = d - h. What is the tens digit of i? 2 Let r = -15 - -19. Let b(q) = 5 + 4 - 4*q - 8 + r. What is the units digit of b(-8)? 7 Let l(m) = m**3 + 5*m**2 + 3*m - 4. Suppose 3*g = -1 - 8. What is the units digit of l(g)? 5 Suppose -5*u = 489 - 139. Let r = -31 - u. What is the units digit of r? 9 Let a(h) = h**2 + 12*h + 1. Let u be -2 - (-106)/(-6) - (-1)/(-3). What is the hundreds digit of a(u)? 1 Let a = 272 - 137. What is the units digit of a? 5 Suppose 0 = -13*r + 4 + 9. Suppose 2*g - 2*d - 20 = 0, g = 2*g - 4*d - 25. Let t = g - r. What is the units digit of t? 4 Let p = 75 - 71. What is the tens digit of p + 3 + 86/1? 9 Suppose 4*i = 5*n - 10*n + 4, 5*n - 2*i - 28 = 0. Suppose -5*w + 635 = 5*v, -n*v = v + 15. What is the tens digit of w? 3 Suppose q - 307 = 2263. What is the tens digit of q? 7 Suppose -3*n - 41*l = -39*l - 1623, 3*l - 1626 = -3*n. What is the tens digit of n? 3 Let t(l) = l**3 + 5*l**2 - 5*l + 9. Let j be t(-6). Suppose j*y = 30 + 207. What is the units digit of y? 9 Suppose 3*r - 7*r - 1392 = -4*a, r = 5*a - 1720. What is the tens digit of a? 4 Let b = 1771 + -1169. Let z = b + -333. What is the units digit of z? 9 Suppose -2 = -i + 1. Let j be (i/4)/((-6)/144). Let s = -12 - j. What is the units digit of s? 6 Let s = 3 - 5. Let w be (
{ "pile_set_name": "DM Mathematics" }
et y = 8 - 3. Let k(c) = -3*c**3 + 22*c**2 - 3*c - 14. Let v(u) = 0*u**3 - u**2 + u + 84 - 6*u**2 + u**3 - 79. Let p(r) = 2*k(r) + 7*v(r). Calculate p(y). 12 Let q(j) = j**3 + j**2 - 3*j + 3. Let o(x) = x**3 - 3*x + 2. Let t(m) = -6*o(m) + 5*q(m). Let z = -87 - -93. Calculate t(z). -15 Let b(p) = -2*p - 2*p + 2*p + 0 + 5. Let w be b(0). Let s(t) = -3 + 4 - 2 - t + w. What is s(6)? -2 Suppose 3*a = q + 3, -2 = -q + 4*a - 5. Let k(y) = y**2 + 1. Let t = -7 + 8. Let o(s) = 3*s**2 + 3*s. Let f(u) = t*o(u) - 2*k(u). Determine f(q). -2 Let j be (-1)/2 - 14/(-4). Let o(b) = j - b**3 - 13*b + b - 8*b**2 + 4*b. Calculate o(-7). 10 Let z(f) = -36*f - 1. Let p(q) = -323*q - 12. Let a(s) = 2*p(s) - 18*z(s). Let u = 1 + 1. Suppose -3*y = 3*t - 0*t - 18, y - 8 = -u*t. Determine a(y). 2 Let g(s) = -4*s**3 + 2*s**2 - s + 2. Let v be (765/68 + -12)/((-6)/16). What is g(v)? -24 Let l(o) = o**3 + 9*o**2 + 3. Let v be l(-9). Let y(i) = -6*i**2 + 2*i**2 + v*i**3 + i + 4*i**2. Let x be y(-1). Let c(j) = -2*j - 5. Give c(x). 3 Suppose -3*d = -80 + 62. Let n(v) = 5 - 5*v**2 + d*v + 4*v**2 - 4 + 6. Determine n(8). -9 Let r(q) = q - 9. Let j(c) = -7*c + 49. Let o(v) = j(v) + 6*r(v). Give o(6). -11 Let h(y) be the first derivative of -y**5/20 + 2*y**4/3 - y**3 - 7*y**2/2 - 7*y - 16. Let p(q) be the first derivative of h(q). Give p(7). 0 Let q = 227 - 221. Let v(d) = d - 7. Calculate v(q). -1 Let o(z) be the first derivative of -z**4/4 - 7*z**3/3 - 3*z**2 - 8*z + 354. Calculate o(-6). -8 Let q(d) = d + 2*d**2 + 1 + d**2 - 2*d**2. Let g(h) = -h**2 - 10*h + 23. Let f be g(-12). Let t be 3/(f + 2 + -4). Determine q(t). 1 Let h(u) = -u + 11. Let s(i) = 2*i + 32. Let v = -18 - -5. Let p be s(v). Determine h(p). 5 Let d(t) = -94*t + t**3 - 12*t**2 + 94*t - 5 + 2. Determine d(12). -3 Let u(f) be the third derivative of 0 + 0*f**3 + 0*f + 1/24*f**4 + 1/20*f**5 - 1/120*f**6 - 6*f**2. What is u(3)? 3 Let p(v) = v**3 + 7*v**2 + 2*v + 2. Suppose -71*w + 105 = -72*w. Let l = -111 - w. Give p(l). 26 Let z(w) be the first derivative of -w**6/60 - w**5/12 - w**4/12 + 19*w**2/2 + 18. Let x(k) be the second derivative of z(k). Calculate x(-3). 15 Let g(c) = -2*c**3 + 19*c**2 + 11*c - 8. Let u be -8 - -3 - 75/(-5). What is g(u)? 2 Let s = -401 - -229. Let d = 178 + s. Let r(l) be the third derivative of -l**5/60 + 7*l**4/24 - l**3 + l**2. Determine r(d). 0 Let l(a) = a**2 + 4*a - 4. Let m be l(-6). Let x be 2 - 3 - m/((-28)/7). Let r(g) = 3*g**3 - 2*g**3 - 3*g**2 - 4 + 5. Calculate r(x). -1 Let j = 18 + -61. Let d = 46 + j. Let y(c) = -c**2 - 3*c - 3. Give y(d). -21 Let m(k) = -4*k**2 - k + 2. Let a(q) be the second derivative of 4*q**4/3 + 5*q**3/6 - 9*q**2/2 - 32*q. Let z(v) = -2*a(v) - 9*m(v). What is z(-2)? 18 Let y = 20 + -17. Let g be y - 2/(-2) - 20/(-5). Let s(f) = 4*f - 7. What is s(g)? 25 Let h be (-8 + 15 + -1)*(3 + -2). Let u(n) = 3*n - 30. What is u(h)? -12 Let l(n) = n**2 + 26*n + 3. Let s be l(-26). Let p(o) = o**3 - 4*o**2 + 4*o. Determine p(s). 3 Let u(y) = y**3 - 5*y**2 - 4*y - 8. Let o be 1*(-4 + 2) + 5. Let w = 8 - 4. Suppose -w*p + o*l = -21, 2*p + l - 5 = 8. Determine u(p). 4 Suppose -2*b + 5*y + 31 = 0, 0 = -5*b + b + 3*y + 27. Let l = 20 - 18. Let j(s) = 42 - 39 + 3*s**l + 3*s - 4*s**2. Calculate j(b). 3 Suppose -3*c - 13 = -3*m - c, -2*m + 4*c + 6 = 0. Let x(b) = 28*b**3 - 29*b**3 - 3*b**2 - 3*b + m*b + 4. Suppose 1 = 4*f + 13. What is x(f)? -2 Let c(f) = -f**3 - f**2 - 2*f - 1. Let h be (6/5)/(3/75). Let s be (-16)/10 + (-12)/h. Calculate c(s). 7 Let s = -50 + 52. Let c(y) = -308 + 5*y**s + 308. What is c(-2)? 20 Let x(t) = t - 1. Let d(p) = 5*p + 4. Let m(g) = d(g) + 6*x(g). Let b(n) = 10*n - 1. Let w(r) = -7*b(r) + 6*m(r). Let s be (-2)/((-12)/3)*-8. Give w(s). 11 Let i be (-13 - (-550)/40)/((-2)/(-8)). Let r(f) = f**3 - 2*f**2 + 2*f + 3. What is r(i)? 18 Let m(c) = -c - 34. Let y(k) = -2*k - 51. Let x(p) = 7*m(p) - 5*y(p). Determine x(-6). -1 Let q(w) = -62 - 69 + w - 57 + 180. What is q(14)? 6 Let n(x) be the third derivative of -x**6/120 + x**5/30 + x**4/6 - x**3/2 - 2*x**2 - 38. Determine n(2). 5 Let p be 11 + -18 - 0 - (-1 - -7). Let s(z) = -z**2 - 11*z + 13. What is s(p)? -13 Let a(k) = -k**3 + 3*k**2 + 4*k + 2. Let w be a(4). Let d(z) be the first derivative of -6*z - 7/2*z**w + 1 - 1/3*z**3. Calculate d(-4). 6 Let w(g) = -g**2 - 4*g - 1. Let c(n) = 7*n + 2. Let j(q) = q. Let h(y) = -c(y) + 4*j(y). Let d be h(2). Let u be d/(-44) - 70/22. What is w(u)? 2 Suppose u + 3*g + 7 = 0, -u = -3*g + 5*g + 4. Suppose u = -i - i. Let a(w) = -16*w**2 - w - 1. Determine a(i). -16 Let z(m) = 5*m. Let l(p) = -4*p**3 - p**2. Let h be l(-1). Suppose -4*n + 9 = 4*u - h*u, -4*n = 2*u - 10. Let s(g) = -2*g + 1. Let w be s(u). Give z(w). -5 Let o(v) = -12*v**2 + v + 29. Let h(l) = -17*l**2 + 2*l + 43. Let y(a) = 5*h(a) - 7*o(a). Determine y(6). -6 Let p(b) = -11*b**2 + 4*b + 4. Let i(x) = 8*x**2 - 4*x - 4. Let l(k) = -3*i(k) - 2*p(k). What is l(3)? -2 Let b(g) be the first derivative of 3*g**4/4 - g**3/3 - g**2 + 121. What is b(2)? 16 Let c(x) = x**2 - 2*x + 1. Let k be (16/40)/((-1)/(-5)). Let m be c(k). Let j be m*3/12*0. Let a(f) = -f + 4. Calculate a(j). 4 Let d(k) be the first derivative of k**4/24 - 5*k**3/6 - 15*k**2/2 + k + 40. Let l(p) be the second derivative of d(p). Calculate l(3). -2 Let g(b) = -b**2 + 16*b - 15. Suppose -6*p = -4*p - 30. Let l be g(p). Let o(i) = i - 3. What is o(l)? -3 Let h = -2126 - -2126. Let d(f) be the third derivative of 1/12*f**4 + 1/6*f**3 + h*f + 0 - 7*f**2. Calculate d(-6). -11 Let q(t) = 7*t - 19*t - t**2 - 7 - 6. Suppose 66 = -24*c + 18*c. Calculate q(c). -2 Let g(x) = x**2 - x. Suppose 4*l = 5*m - 83, 0*l - 4*l - 64 = -4*m. Let f = -37 + 20. Let h = f + m. Give g(h). 2 Let t = 9 + 3. Suppose -a + 4*a = -5*j - t, -4 = a. Let m(q) = j + q + 6 - 3. Give m(0). 3 Let o(p) = 3*p - 24 - 3*p + 10*p. Let i = 4 + -6. Let l(w) = 3*w - 8. Let g(s) = i*o(s) + 7*l(s). Give g(6). -2 Let n be -8 + 9/((-135)/(-120)). Let k(j) = j - 1 + 0 - 4. Give k(n). -5 Suppose -4*u = 4*b - 28, -2*u + 5*u - 5*b - 5 = 0. Let m(p) = 4 - 4*p**2 + 0*p**2 - 2*p**2 + 3*p - 12*p**3 + 13*p**3. Calculate m(u). -6 Let b(c) be the third derivative of c**5/60 + c**4/24 + c**3/6 - 50*c**2. Give b(0). 1 Let k(r) = -r**3 + 9*r**2 - 7*r - 2. Let f be 11 - (7 - (-6 - -10)). Calculate k(f). 6 Let a(t) be the second derivative of -t**5/20 + 5*t**4/4 - 8*t**3/3 + 33*t**2/2 - 16*t. Let k be a(14). Let f(s) = s**2 - 5*s + 3. What is f(k)? 3 Let a(m) = m**3 + 8*m**2 - 2*m - 11. Let b(l) = 2*l**3 - 19*l**2 - 13*l + 22. Let q be b(10). Give a(q). 5 Let a(b) = -b + 12. Let h be ((0/2)/(-4))/(-1). Suppose 0 = -h*u - 5*u + 75. Suppose -5*v - u = -4*k, 3*v = 3*k - 2 - 10. What is a(k)? 7 Let w be 1/(-2) + 35/(-10). Let i(p) = -p - 7. Let k(a) = -3. Let h(x) = -3*i(x) + 7*k(x). Determine h(w). -12 Let n(a) = 1 - 7*a + 0*a**2 - 5*a**2 - a**3 - a**2. Let k = 0 + 20. Suppose -10 + k = -2*b. Determine n(b). 11 Let a(t) = 7*t - 1. Let k = -17 - -25. Suppose -6 + k = 2*z. Give a(z). 6 Let m(c) be the first derivative of -c**3/3 - 2*c - 160. Let a(h) = -h**2 - 6*h - 3. Let n be a(-6). What is m(n)? -11 Let o(i) be the first derivative of -i**4/4 + i**3/3 + i**2 + i + 1. Suppose 0 = -x - 4*x + 4*g + 70, 5*g = -4*x + 97. Suppose -x = -17*s + 8*s. What is o(s)? 1 Let s be (4 - 5)*(-2 - 5). Let q = s - -2. Let i = -12 + q. Let u(x) = -x - 1. Determine u(i). 2 Let u(a) = -4*a**2 + 6*a - 3. Let i(v) = -9*v**2 + 14*v - 6. Let b(o) = -2*i(o) + 5*u(o). Give b(2). -7 Let i(m) = 4. Let s(c) = -16*c + 50. Let w(l) = -12*i(l) + s(l). Determine w(2). -30 Let l(b) be the first derivative of 0*b + 0*b**2 + 0*b**3 + 1 - 1/4*b**4. Determine l(-1). 1 Let u(f) be the first derivative of 10*f**3/3 + 2*f - 41. Determine u(2). 42 Suppose 6*k - 16 = 38. Let w(b) = 6*b + 13*b + k*b - 24*b. What is w(1)? 4 Let r = -2 + 1. Let c(u) be the second derivative of u**4/6 - u**3/6 - u**2/2 + 192*u. Calculate c(r). 2 Let f be ((-276)/230)/(2/15). Let n(d) = -d - 4. Determine n(f). 5 Let t(j) = -50 + 24 - 5*j + j**2 + 29 - 3*j**2. Give t(-3). 0 Let a(r) = 4*r**2 - 7*r + 11. Let b(t) = -7*t**2 + 15*t - 21. Let l(u) = -5*a(u) - 3*b(u). Suppose -8*o = -437 + 365. Give l(o). -1 Let a(p) = -p**2 + 6*p + 2. Let r = -814 + 818. What i
{ "pile_set_name": "DM Mathematics" }
Let k(m) = 10*m + 1 - c*m + 0*m - 5. Let g(a) = -2*a - 3. Determine 4*g(f) - 3*k(f). f Let l(y) = 5 + 3 - 8*y + 2*y. Let r = -20 - -23. Let h(v) = -11*v + 0 + 13*v - r. Determine -11*h(a) - 4*l(a). 2*a + 1 Let o(v) = 2. Let g(i) = -8*i + 8. Let h(z) = 3*z - 1. Let d(p) = g(p) + 3*h(p). What is 6*d(j) - 15*o(j)? 6*j Let y(j) = -7*j**2 - 6. Let f(q) = 14*q**2 + 13. Let v = -21 + 34. Calculate v*y(z) + 6*f(z). -7*z**2 Let k(v) = -7*v - 3. Let o(p) = -5 + 16 - 6 - 3 + p - 3. Give -k(q) + 2*o(q). 9*q + 1 Let f(u) = 24 + u**3 + 7*u**3 - 31. Let v = 44 + -50. Let w(p) = -7*p**3 + 6. Give v*f(h) - 7*w(h). h**3 Let v(l) = -143*l**2 + 44*l - 44. Let m(r) = -16*r**2 - 14*r + 59*r + 0 - 5 - 23*r - 17*r. Calculate 44*m(h) - 5*v(h). 11*h**2 Let u(i) be the first derivative of i**2/2 - 7*i + 20. Let f(n) = n - 6. Let l = 24 + -30. What is l*f(c) + 5*u(c)? -c + 1 Let c(p) = p**3 + p**2 - 1. Let t(n) = -224*n**3 + 5*n**2 - 5. Determine -5*c(z) + t(z). -229*z**3 Let l(c) = 20*c + 131. Let d(k) = -3*k - 21. Let b(w) = -39*d(w) - 6*l(w). Let m(g) = 1. Give -2*b(p) + 66*m(p). 6*p Let z(t) = -t**2 + t - 4. Let f(s) be the first derivative of -2*s**3/3 + s**2 - 9*s - 1. Suppose 2*h = -y + 4, 2*h + 2*y = -y + 4. Determine h*f(u) - 5*z(u). u**2 - u + 2 Let p(x) = -x**2. Let z(y) = 6*y**2 - 39. Calculate 3*p(q) + z(q). 3*q**2 - 39 Let y(f) = -6*f**3 - 23*f**2 - 5*f + 43. Let c(b) = -2*b**3 - 8*b**2 - 2*b + 15. Calculate 8*c(r) - 3*y(r). 2*r**3 + 5*r**2 - r - 9 Let x(w) = 12*w**2 - w. Let s(f) = f**2. Let l(z) = -z**3 - 19*z**2 - 23*z - 89. Let k be l(-18). What is k*x(d) - 5*s(d)? 7*d**2 - d Let h(f) = -2*f**2 - f**2 + 124*f + 4*f**2 - 118*f + 0*f**2. Let b(l) = -l**2 - 7*l. Determine -2*b(d) - 3*h(d). -d**2 - 4*d Let o(w) = 16*w**2 + 6*w + 2. Let i(u) = 13*u**2 + 8*u + 2. What is -5*i(h) + 4*o(h)? -h**2 - 16*h - 2 Let t(r) = r + 3. Let m(x) = 1. Let p(q) = 3. Let c(f) = 21*m(f) - 6*p(f). Calculate 3*c(a) - 2*t(a). -2*a + 3 Let f(x) = x**3 - x + 1. Let t(c) = 2*c**3 - 2*c**2 - c + 3. Suppose 2*u = s + s - 18, 5*s = -5*u + 5. Let g be (2/s)/(6/15). Calculate g*t(l) - 3*f(l). -l**3 - 2*l**2 + 2*l Let b(y) = -8*y**3 + 3*y**2 - 2*y + 1. Let h(u) = u**3 - u**2 + u + 1. Suppose -69 = -3*g - 63. Determine g*h(q) + b(q). -6*q**3 + q**2 + 3 Let l(i) = 64*i**2 + 11*i**3 + 5*i + 2*i**2 - i - 4*i + 66. Let s(n) = n**2 + 1. What is -l(r) + 66*s(r)? -11*r**3 Let p(k) = 2*k**2 + 2*k - 7. Let q(u) = -u**2 - 3*u + 9. Give -4*p(v) - 3*q(v). -5*v**2 + v + 1 Let s(g) = 1770*g**2. Let v(q) = -118*q**2. Calculate -4*s(b) - 59*v(b). -118*b**2 Let l(s) be the second derivative of s**4/6 - s**3/6 - 5*s**2/2 - 22*s - 1. Let x(c) = 1. Determine -l(i) - 5*x(i). -2*i**2 + i Let h(r) = -26*r + 15. Let n(j) = -3*j + 1. Determine -h(a) + 5*n(a). 11*a - 10 Suppose -3*q + q = -2. Let v(c) = 5*c + 9. Let w(m) = -3*m - 5. Let h(d) = 4*v(d) + 7*w(d). Let t(l) = -2*l**2 + 5*l - 6. Calculate q*t(x) + 5*h(x). -2*x**2 - 1 Let w = 0 + 2. Let o(m) = m**3 + m**2 + m + 1. Let j(x) = x**2 + x - 1. Suppose 3*n = -p - 4, 6 = -5*p + 8*p. What is n*j(a) + w*o(a)? 2*a**3 + 4 Let s(g) = -2*g**2 - g. Let c(w) = -5*w**2 - 42*w - 3. Give -c(m) + 3*s(m). -m**2 + 39*m + 3 Let y(k) = 137*k**2 + 23*k + 13. Let o(p) = -46*p**2 - 7*p - 4. What is 7*o(i) + 2*y(i)? -48*i**2 - 3*i - 2 Let b(d) = -29. Let h(f) = -19. Let i(c) = -2*b(c) + 3*h(c). Let t(j) = -1 - 9 + 2 - j. Calculate -5*i(o) - t(o). o + 3 Let o(a) be the third derivative of -11*a**5/60 + 7*a**4/8 + 17*a**3/6 - 44*a**2. Let z(n) = 4*n**2 - 7*n - 6. Give -6*o(d) - 17*z(d). -2*d**2 - 7*d Let i(x) = -128*x**2 + 4 - 128*x**2 + 2*x - 124*x**2 - 4*x**3 + 383*x**2. Let s(f) = 3*f**3 - 2*f**2 - f - 3. Calculate 2*i(y) + 3*s(y). y**3 + y - 1 Let b(s) = 39. Let z(n) = -n**2 - 42. Calculate -3*b(a) - 2*z(a). 2*a**2 - 33 Let r(l) = -l**2 + l - 1. Let b(m) be the first derivative of -m**4/4 + m**3 - m**2 + m - 2. Let k be (-1 + 7)*12/216*9. Give k*r(z) + b(z). -z**3 + z - 2 Let g(l) = -31*l. Let o(u) = -62*u - 3. Calculate 5*g(a) - 3*o(a). 31*a + 9 Let w(a) = -a**2 + 21*a + 16. Let r(d) = -4*d - 3. Let o = -2029 + 2025. Determine o*w(t) - 22*r(t). 4*t**2 + 4*t + 2 Suppose 22*s + 96 = -36. Let p(t) = -2*t**2 + t - 4. Let m(q) = -1. Calculate s*m(y) + p(y). -2*y**2 + y + 2 Let x(f) = -f + 1. Let v = 91 - 64. Let d be (-4)/(21/v - 1). Suppose -1242*w = -1236*w + 24. Let g(q) = -5*q + 5. Calculate d*x(m) + w*g(m). 2*m - 2 Let i(y) = -y + 4. Let s(g) = 2*g**3 + 7*g**2 - 36*g - 31. Let k be s(-6). Let v(f) = -2*f + 4. Calculate k*v(n) - 6*i(n). -4*n - 4 Let z(q) = -4*q - 6. Let o(s) = 3*s + 5. Let g = 6 + -16. Let b be (4 - 0) + 12 + g. Determine b*o(y) + 5*z(y). -2*y Let g(r) = -r + 8. Let t be (-12)/(-4) + (-4)/(4 + -3). Let b(u) be the third derivative of u**3/6 - 2*u**2. What is t*g(d) + 6*b(d)? d - 2 Let i(p) be the third derivative of 3*p**4/8 - 2*p**3/3 - 11*p**2. Let o(r) = -r - 11*r - 9*r + 35*r - 6. Let b be (0 + 2)*(-10)/(-4). What is b*o(v) - 8*i(v)? -2*v + 2 Let p(m) = -5*m**3 - 7*m. Let q(l) = 2*l**3 + 3*l. Let t(y) = -4 - 4*y + 1 + 0*y - y. Let f be t(-2). Let x = 9 - 6. Determine f*q(s) + x*p(s). -s**3 Let r(c) = 12*c**3 - 10*c**2 - 4. Let y(v) = -13*v**3 + 8*v**2 + 5. Give 5*r(l) + 4*y(l). 8*l**3 - 18*l**2 Let u(q) be the third derivative of q**5/10 + q**4/8 - q**3/2 + 186*q**2. Let k(m) = -m + 1. Calculate 3*k(p) + u(p). 6*p**2 Let n(k) = -2*k - 10. Let z be n(-2). Let g(m) = -5*m + 3. Let y(q) = 14*q + 4 - 5 - 7. Determine z*y(b) - 17*g(b). b - 3 Let x(z) = -3*z**2 + 3*z + 4. Let t(o) be the first derivative of -10*o**3/3 + 9*o**2/2 + 13*o + 198. Give -2*t(c) + 7*x(c). -c**2 + 3*c + 2 Let d be (2/(-8))/(10/(-200)) - 3. Let z(o) = 5*o**3 + 7 + 0*o**d - o + o**2 + 9*o. Let a(f) = 4 - 1 - 4*f**3 - 7*f - 9 - f**2. Determine 7*a(w) + 6*z(w). 2*w**3 - w**2 - w Let w(x) = -24*x**3 - 1. Let z(s) = -48*s**3 - s**2 + s - 3. Calculate -5*w(q) + 2*z(q). 24*q**3 - 2*q**2 + 2*q - 1 Let m(y) = -6*y**3 + 6*y - 4. Let n(h) = -7*h**3 + 7*h - 4. Calculate -6*m(a) + 5*n(a). a**3 - a + 4 Suppose 0 = -y + 9*y - 16. Let r(g) = -g**3 - g**2 + g + 1. Let q(c) = c**2 - 2. Determine y*r(f) + q(f). -2*f**3 - f**2 + 2*f Let i(x) = x**3 - 23*x**2 - x + 2. Let d(j) = 2*j**3 - 70*j**2 - 3*j + 7. Calculate 2*d(z) - 7*i(z). -3*z**3 + 21*z**2 + z Let a(o) be the first derivative of 3*o**4/4 + 3*o**2/2 + 4*o - 1. Let m(g) = -2*g**2 + 2*g**2 - 5*g - 7 - 5*g**3. Suppose 0 + 4 = c. What is c*m(p) + 7*a(p)? p**3 + p Let r(d) be the third derivative of d**6/30 - 7*d**4/24 - 2*d**2 + 6*d. Let i(a) = a**3 - a. Give -14*i(n) + 2*r(n). -6*n**3 Let m(w) = -w**3 - 2. Let x(h) = 10*h**3 - 2*h**2 + 2*h + 12. Let q(b) = 5*m(b) + x(b). Let o(t) = -20*t**3 + 9*t**2 - 9*t - 9. Calculate -2*o(p) - 9*q(p). -5*p**3 Let s(d) = 4*d**2 - 4*d. Let w(v) = 7*v**2 - 8*v. Let q be (-8 + (-143)/(-22))*44/(-6). What is q*s(t) - 6*w(t)? 2*t**2 + 4*t Let t(r) be the first derivative of -r**4/4 + 2*r**3/3 - 3*r**2 + 2*r - 86. Let n(v) = -5*v**3 + 11*v**2 - 30*v + 11. What is -2*n(d) + 11*t(d)? -d**3 - 6*d Suppose 85 = -3*o - 4*p, -4*o + 4*p + 59 = 219. Let z = o - -34. Let i(x) = -x**2 - 1. Let t(v) = v**2 + 5. Determine z*t(f) - 5*i(f). 4*f**2 Let v = 1 + 1. Let f(o) = 5 - o**2 + v*o**2 + 2*o - 2 - 3*o. Let h(g) = -2*g**2 + 2*g - 5. Let a be (-1 + -9)*3/6. Determine a*f(m) - 3*h(m). m**2 - m Let k be ((1 + -2)/(-15 - -16))/(-1). Let z(h) = h. Let f(m) = -m - 1. Determine k*f(q) - 6*z(q). -7*q - 1 Let l(y) = y. Let t = 572 + -575. Let o(j) = j**2 - j + 1. What is t*l(k) - 2*o(k)? -2*k**2 - k - 2 Let j(q) be the first derivative of q**3/6 - q**2/2 + 7*q + 5. Let f(t) be the first derivative of j(t). Let h(r) = r**2 + 5*r - 5. Calculate 5*f(w) - h(w). -w**2 Let u(y) = -2888862*y. Let o(g) = 989*g. Give 17527*o(m) + 6*u(m). 1031*m Let n(f) = f**2 - f - 2. Let t(v) = -3*v + 44. Determine -n(b) + t(b). -b**2 - 2*b + 46 Let f(s) = 4*s**3 + s**2. Suppose -91 + 19 = -4*v. Let a(c) = 16*c**3 + 5*c**2. Determine v*f(y) - 4*a(y). 8*y**3 - 2*y**2 Let y(m) = 5*m**2 + 13*m + 15. Let l(t) = -4*t**2 - 14*t - 17. Determine -6*l(w) - 7*y(w). -11*w**2 - 7*w - 3 Let l(f) = 3*f**2 - 127*f - 4. Let w(t) = 21*t**2 - 888*t - 27. Determine 27*l(g) - 4*w(g). -3*g**2 + 123*g Let b(c) = 3*c**3 - 3*c + 4. Suppose 0 = -2*r - 31 + 3. Let w = r + 21. Let k(p) = -
{ "pile_set_name": "DM Mathematics" }
and t - (-1 + -1)/2? 90 Suppose m = -m + 78. Find the common denominator of 6/3*m/24 and -24/11. 44 Let k(c) = c**3 + 6*c**2 + 4*c - 2. Let j = 20 - 10. Calculate the least common multiple of k(-4) and j. 70 Let u(q) = -q**2 + 6*q - 3. Let b be u(5). Suppose 0 - 8 = -b*l. Find the common denominator of 3/4 and 6/l*(-88)/6. 4 Let y(q) = 8*q**3 - q**2 + q. Let a(t) = t**3 + 16*t**2 + 14*t + 1. What is the lowest common multiple of a(-15) and y(1)? 16 Suppose 0 = -4*l - 5*j + 61, -2*l - 2*l - j + 57 = 0. What is the least common multiple of 12 and l? 84 Suppose 0 = 4*y + f - 4, -2*y + 2 = 2*f + f. Suppose -5*a + 10 = 0, -5 = 2*b + 3*a + y. Calculate the common denominator of b/(-15) + 903/(-120) and 27/14. 56 Calculate the common denominator of (-60)/(-54)*(-30)/8 and (-194)/(-28) - (-2)/(-4). 42 Let p = -123281/16260 + -2/1355. Let u = 8/1079 - 160819/6474. Calculate the common denominator of p and u. 12 What is the common denominator of 4/11 and (-84)/(-40)*2 - -4? 55 Let f = -8 + 5. What is the smallest common multiple of 8 and (66/18)/((-1)/f)? 88 Let p(v) = -4*v - 1. Suppose 4*k = -3 - 1. Let h be p(k). Find the common denominator of (-10)/h + -1 - 2 and -35/8. 24 Let t be 1/((-15)/(-9) - 2). Let x be (-2)/2 - t*2. Suppose -3*g + 20 = -2*k + 4*k, -x*g = 5*k - 45. What is the least common multiple of k and 4? 28 Let x be (-251582)/114380 - 8/(-20). Let b = -195/301 + x. Calculate the common denominator of -15/16 and b. 304 Suppose -4*b = 20 - 4, -4*b = u + 5913. Let h = 106091/18 + u. Find the common denominator of h and -83/18. 18 Let j(f) = -f + 9. Let x be j(0). Let z(w) = 3*w**3 - w**2. Let a be z(1). Suppose -a*t + 31 = -x. What is the least common multiple of 16 and t? 80 Suppose 14 = t + r, 0 = 4*t + 5*r - 0*r - 56. Calculate the lowest common multiple of t and 4. 28 Let d(i) be the third derivative of -i**4/24 - 2*i**3/3 + i**2. Let c = -26 - -32. Calculate the lowest common multiple of c and d(-5). 6 Let d = 1657 - 14939/9. Calculate the common denominator of 58/3 and d. 9 Calculate the smallest common multiple of 12*((3 - 0) + (-30)/18) and 20. 80 Suppose -o + 15 - 12 = j, 3*o + 5*j = 7. Let p(z) = -6*z + 2. Calculate the smallest common multiple of o and p(-2). 28 Let g = -2 - -12. Let w = g - 2. Let z = w + 59/6. What is the common denominator of 23/8 and z? 24 Calculate the common denominator of 0 + 10/(-12) + 1 and 41/8. 24 What is the common denominator of (-3348)/420 + (-4)/(-10) and ((-24)/10)/((-42)/75)? 7 Suppose 0 = 7*v - 32 - 10. Calculate the smallest common multiple of v and 1. 6 Let a(k) = -k**3 - 6*k**2 - 6*k - 7. Let r be a(-5). What is the common denominator of -65/4 and ((-21)/48 - r) + 0? 16 Let z be (-1)/3 - (-718)/18. Let v = z - 253/6. Calculate the common denominator of 182/(-16) + 1/(-2) and v. 72 Find the common denominator of 26/(-39) - 37/(-3) and 39/8. 24 Let a = -17 + 31. Suppose 2*d - a + 4 = 0. Suppose 11 - 35 = -3*l. Calculate the smallest common multiple of d and l. 40 What is the common denominator of 234/105 + 8/(-10) and -56/3? 21 Let a(h) = -3 + 0*h + h + 2. Let t be a(5). Suppose 3*q + 3*s = 7*q - 29, -28 = -3*q - t*s. What is the lowest common multiple of 10 and q? 40 Find the common denominator of -3 + (-2 - (-202)/16) and ((-178)/8)/(-8 + 4). 16 What is the common denominator of (-91)/36 - (3 + (-13)/4) and 5/7*14/(-12)? 18 Let l = 135703/25326 - 2/1809. Find the common denominator of l and -9/5. 70 Calculate the lowest common multiple of (1 - 0) + (-18)/(-9) and 4. 12 Let m = -6813/365 - 1/1095. Let q be -4146 + 4*(-4 - -5). Let y = -37324/9 - q. What is the common denominator of y and m? 9 Suppose 4*f - f = 5*t - 1, 2*f - 3*t = 0. Let v(s) = s**2 - 2*s + 3. Let u be v(f). What is the common denominator of 2/u + 62/4 and 37/22? 66 Let b = 20399 + -10410. Let v = -4568 - b. Let q = 233001/16 + v. Find the common denominator of -35/18 and q. 144 Let y = 52/5 - 397/30. Let n = -6 - -4. Calculate the common denominator of y and 214/8*n/10. 60 Let z = 127 - 41. Suppose -14 = 4*w - c - z, 0 = -w + c + 18. Suppose 0 = r + r - 24. Calculate the least common multiple of w and r. 36 Let k = 362 - 17739/49. Let p = -201/98 + k. Find the common denominator of 131/12 and p. 84 What is the common denominator of 3/72*69/(-4) and -1/12? 96 Let q = 8 + 12. What is the least common multiple of q and 2? 20 Suppose 0 = 5*s + 5, 5*s + 53 = 2*j + j. What is the lowest common multiple of (-26)/(-117) - (-68)/18 and j? 16 Let x(k) = -9*k + 4. Let t be x(-3). Suppose -5*o + 65 = 3*b + 2*b, -4*b = -3*o - t. Calculate the smallest common multiple of 348/42 - (-4)/(-14) and b. 40 Suppose 0 = b - z - 2, -z + 9 = 3*b - 5. Suppose -b*g - 2 = -70. What is the lowest common multiple of g and 4? 68 Let u(k) = 3*k**3 - 5*k**2 - 4*k**3 - k - 2*k. Let s be u(-4). Find the common denominator of 43 and s/(-6)*114/(-28). 7 Let f(h) = -h - 8. Let g be f(0). What is the common denominator of (29/5)/(g/(-10)) and 76/11 - 3 - 3? 44 Let g = -45 + 72. What is the smallest common multiple of g and 6? 54 Let b(o) = -o**3 - 9*o**2 - 15*o - 4. What is the smallest common multiple of 36 and b(-7)? 36 Let m = -6 - -6. Suppose 4*a + m*a = 0. Let x = a + 6. What is the least common multiple of 10 and x? 30 Let n(h) = -h**2 + 5*h + 1. Let r be n(5). Suppose 4*u + r + 23 = 0. Calculate the common denominator of u/(-27) + 937/(-126) and -67/10. 70 Let d = -10 - -16. What is the smallest common multiple of 6 and d? 6 Suppose i - 36 = -i. Calculate the lowest common multiple of i and 16. 144 Suppose -5*l + 10 + 0 = 0. What is the smallest common multiple of 20 and l? 20 Suppose -3*c + a + 33 = 0, 2*c - 5*c + 5*a = -45. Let r be c/(-3)*(-3)/2. Suppose -22 = 4*y - r*y. What is the least common multiple of 22 and y? 22 Suppose 0 = 5*u - 20, -4*b + 195 = -4*u - 117. Let z = -159 + b. Find the common denominator of z/10 + (-6)/(-10) and 53/5. 10 Let i(f) = -4*f**3 - 2*f**2 - 2*f - 1. Let n be i(-1). Calculate the lowest common multiple of (-22)/(-12)*n*2 and 7. 77 Suppose -2*f + 10 = 6. Let b(z) = z**3 - z**2 + 4. What is the lowest common multiple of f and b(0)? 4 Let p = -1643/42 - -94/3. Let w(t) = 163*t**3 + 1. Let y be w(-1). Let r = y + 607/4. What is the common denominator of r and p? 28 Let l(v) = -v**3 + v**2 + 2*v - 1. Let i(y) = y**2 - 7*y - 6. Let f be i(8). Let r be l(f). Calculate the smallest common multiple of -1*(r + 2)*-11 and 1. 11 Let i = -51/103 - 58711/206. Let l = i - -258. What is the common denominator of -11/2 and l? 2 Let r = 26 + -9. Let l = 11 - r. Calculate the common denominator of -113/6 and ((-166)/(-6))/(20/l). 30 Let q(s) = 34*s + 4. Let b be q(-4). Let c = -1432/9 - -15347/99. Find the common denominator of c and 0 + -1 - b/40. 110 Let f(w) = -w**2 + 9*w - 11. Let q(l) = l**3 + 4*l**2 - 5*l + 7. Calculate the least common multiple of q(-5) and f(6). 7 Let f(w) = w**2 - w - 2. What is the lowest common multiple of 28/10 + -3 - 91/(-5) and f(3)? 36 Suppose 20 = x + 3*x. Suppose 2*b - 7 + 19 = 0. What is the common denominator of x and (-9)/b*242/(-30)? 10 What is the common denominator of 63/22 and (-4)/6*-10*64/60? 198 Suppose 7 = 2*k - 7. What is the smallest common multiple of k and 4? 28 Let c = -144019/22 - -6543. Let r = -43777/10 + 4382. What is the common denominator of r and c? 110 Let m be 2/(-4) + 34927/10802. Let n = -3/491 + m. What is the common denominator of n and 3/(-60)*(-3)/(-6)*-55? 88 Let v = -116 + 121. Calculate the least common multiple of 3 and v. 15 Let m be ((-1163)/3)/((-10)/18). Let z = m + -701. Calculate the common denominator of 39 and z. 5 Let n = -504 - -4023/8. Calculate the common denominator of n and 75/34. 136 Suppose -2*x + 3*x = 9. Let h(z) be the first derivative of -z**2/2 + 2*z - 2. Calculate the least common multiple of x and h(-5). 63 Let w = 527/12 + -2771/66. What is the common denominator of 25/28 and w? 308 Let j = 5 + 8. Let a = -9 + j. What is the smallest common multiple of a and 6/(-15) - 14/(-10)? 4 Suppose 0*f - 5*f = -45. Let m(h) be the second derivative of -h**4/12 + 5*h**3/6 - 3*h**2/2 - h. What is the lowest common multiple of f and m(2)? 9 Let s be 2/(-6)*-3*-17. Let n = -8 - s. What is the common denominator of -71/22 and n/14*(-28)/(-32)? 176 Let v be 31
{ "pile_set_name": "DM Mathematics" }
lacement from {n: 7, q: 1, s: 1, b: 2, m: 5, w: 4}? 1/570 Two letters picked without replacement from uuxuxu. What is prob of sequence xu? 4/15 Three letters picked without replacement from {m: 1, h: 3, f: 1, r: 2, y: 1, e: 3}. What is prob of sequence mhf? 1/330 What is prob of sequence lu when two letters picked without replacement from {u: 8, c: 3, z: 3, l: 2}? 1/15 Four letters picked without replacement from gpdupnuuudunun. What is prob of sequence nnnp? 1/2002 Two letters picked without replacement from qwvqq. Give prob of sequence wv. 1/20 Four letters picked without replacement from tnntcptptttctrrt. Give prob of sequence pctc. 1/1365 What is prob of sequence so when two letters picked without replacement from ggso? 1/12 Calculate prob of sequence fhkk when four letters picked without replacement from gfgfdffggkfdkgfh. 1/3640 Four letters picked without replacement from oajjaagjzjjaojg. What is prob of sequence oazo? 1/4095 Two letters picked without replacement from {i: 2, r: 6, p: 3, e: 6, f: 3}. What is prob of sequence re? 9/95 Calculate prob of sequence uju when three letters picked without replacement from ujjujjjjjjjjjjjuujj. 10/323 Two letters picked without replacement from {b: 6, w: 4, v: 3, s: 1, u: 4, f: 1}. What is prob of sequence wv? 2/57 Calculate prob of sequence ljr when three letters picked without replacement from lpvjvwr. 1/210 Calculate prob of sequence yl when two letters picked without replacement from rvyvrlrzlzzlrrzz. 1/80 Two letters picked without replacement from rfn. What is prob of sequence fn? 1/6 Calculate prob of sequence css when three letters picked without replacement from {h: 1, s: 3, c: 1}. 1/10 What is prob of sequence iy when two letters picked without replacement from {e: 1, f: 1, i: 2, x: 1, w: 2, y: 1}? 1/28 What is prob of sequence aba when three letters picked without replacement from {b: 2, a: 7, k: 7}? 1/40 Calculate prob of sequence muul when four letters picked without replacement from luuwllwmwmmmlw. 4/3003 What is prob of sequence ooo when three letters picked without replacement from {t: 13, o: 6}? 20/969 What is prob of sequence pp when two letters picked without replacement from riidiiddpiidi? 0 Four letters picked without replacement from ccchcccchcchxhhcchhx. Give prob of sequence xhhx. 7/9690 What is prob of sequence zb when two letters picked without replacement from {v: 1, o: 2, x: 1, z: 2, b: 2}? 1/14 Two letters picked without replacement from {y: 3, h: 10, g: 1, c: 3, m: 2}. What is prob of sequence ch? 5/57 Calculate prob of sequence eey when three letters picked without replacement from {e: 12, y: 7}. 154/969 What is prob of sequence dks when three letters picked without replacement from sjwkd? 1/60 What is prob of sequence osd when three letters picked without replacement from oydddsdfds? 1/72 Three letters picked without replacement from {f: 3, m: 3, v: 4, n: 1}. What is prob of sequence fmm? 1/55 Calculate prob of sequence ooo when three letters picked without replacement from {z: 1, o: 3, p: 1, s: 2, y: 4, e: 1}. 1/220 Two letters picked without replacement from {j: 7}. What is prob of sequence jj? 1 Four letters picked without replacement from kyzkooykokylkoyl. What is prob of sequence kyoo? 1/182 Four letters picked without replacement from hwlllwlllhlwlwwlw. What is prob of sequence hhlw? 9/4760 Three letters picked without replacement from {k: 1, w: 5, h: 4}. What is prob of sequence kww? 1/36 Three letters picked without replacement from gvvssszrsg. What is prob of sequence vvs? 1/90 Calculate prob of sequence mai when three letters picked without replacement from {m: 3, a: 1, r: 2, d: 3, i: 1, j: 1}. 1/330 Two letters picked without replacement from bhbdbbvdedvfddv. Give prob of sequence hd. 1/42 What is prob of sequence yn when two letters picked without replacement from {y: 11, n: 2, v: 6}? 11/171 Three letters picked without replacement from {c: 1, j: 1, e: 2, s: 1, m: 5}. What is prob of sequence esc? 1/360 Calculate prob of sequence kck when three letters picked without replacement from pckkpkpkkpp. 2/99 What is prob of sequence lol when three letters picked without replacement from oooooloo? 0 Three letters picked without replacement from {f: 1, z: 1, b: 2, q: 1}. Give prob of sequence qbf. 1/30 Three letters picked without replacement from goool. What is prob of sequence goo? 1/10 What is prob of sequence fpk when three letters picked without replacement from {a: 2, p: 1, f: 1, k: 1}? 1/60 What is prob of sequence jif when three letters picked without replacement from jlfhjjjlliefj? 5/858 Three letters picked without replacement from oojooooojj. Give prob of sequence ojo. 7/40 Two letters picked without replacement from {h: 1, d: 1, l: 2}. What is prob of sequence ld? 1/6 Four letters picked without replacement from prepueupeeppu. What is prob of sequence peeu? 3/286 What is prob of sequence bf when two letters picked without replacement from bbbbffb? 5/21 Calculate prob of sequence ec when two letters picked without replacement from ecqcqcqedeqdq. 3/52 Calculate prob of sequence uuu when three letters picked without replacement from {u: 7}. 1 What is prob of sequence wvw when three letters picked without replacement from {v: 1, l: 2, w: 1, j: 1, z: 1, m: 1}? 0 What is prob of sequence gbab when four letters picked without replacement from {h: 8, k: 2, a: 1, b: 3, g: 2, q: 4}? 1/9690 Calculate prob of sequence ytzt when four letters picked without replacement from {a: 1, n: 1, t: 9, d: 2, z: 3, y: 2}. 1/170 What is prob of sequence vvv when three letters picked without replacement from kvkkvkkkvk? 1/120 Four letters picked without replacement from {k: 2, b: 1, r: 2, a: 1, x: 1}. What is prob of sequence rxkb? 1/210 Calculate prob of sequence kmv when three letters picked without replacement from {m: 3, r: 3, i: 2, k: 3, v: 2, g: 1}. 3/364 Three letters picked without replacement from {f: 2, x: 3, t: 1, b: 2, m: 6}. Give prob of sequence fbf. 1/546 What is prob of sequence nbnn when four letters picked without replacement from {n: 9, b: 7}? 21/260 What is prob of sequence umc when three letters picked without replacement from mlcpmmpucclclccm? 1/140 Four letters picked without replacement from mpvpmvppmypmypmmpp. Give prob of sequence vmpv. 1/765 What is prob of sequence ttbt when four letters picked without replacement from tbbbbttbbttb? 7/198 Calculate prob of sequence kkkb when four letters picked without replacement from {b: 1, k: 14}. 1/15 What is prob of sequence zazz when four letters picked without replacement from zzaazz? 2/15 What is prob of sequence tt when two letters picked without replacement from {q: 3, t: 4, m: 2, o: 1}? 2/15 Three letters picked without replacement from afffraa. What is prob of sequence rfa? 3/70 Four letters picked without replacement from {x: 3, s: 3, b: 1, d: 1, l: 6, r: 5}. What is prob of sequence dxbx? 1/15504 Two letters picked without replacement from {l: 2, z: 9, s: 2, g: 1}. Give prob of sequence gl. 1/91 Four letters picked without replacement from sqqsesdvdq. What is prob of sequence esqq? 1/280 What is prob of sequence nsj when three letters picked without replacement from {s: 2, q: 1, j: 1, l: 2, x: 1, n: 2}? 1/126 Calculate prob of sequence omx when three letters picked without replacement from xxoim. 1/30 Calculate prob of sequence qfnn when four letters picked without replacement from fdbrnnqd. 1/840 Four letters picked without replacement from {b: 2, r: 1, q: 5, u: 1, e: 1}. What is prob of sequence ebru? 1/2520 Calculate prob of sequence zxlg when four letters picked without replacement from {l: 1, z: 1, g: 1, x: 2}. 1/60 Three letters picked without replacement from hwhhwhhhwwowhwhhhhwh. Give prob of sequence hhh. 11/57 Three letters picked without replacement from {a: 5, c: 1, b: 7, h: 5, j: 1}. Give prob of sequence bjc. 7/5814 Calculate prob of sequence aab when three letters picked without replacement from aaapb. 1/10 Calculate prob of sequence mqq when three letters picked without replacement from qqm. 1/3 Two letters picked without replacement from kngkgnnngkkkknn. What is prob of sequence ng? 3/35 Three letters picked without replacement from qddqdqqdcrqdddqdd. What is prob of sequence cdd?
{ "pile_set_name": "DM Mathematics" }
4 or 2540? 2540 Which is smaller: -1.5 or 128.465? -1.5 Is 16983899 greater than or equal to 16983897? True Which is smaller: 2 or -0.023799497? -0.023799497 Which is smaller: -6617 or -1188? -6617 Which is greater: 4 or 7760156? 7760156 Which is smaller: -2004766 or -2004774? -2004774 Do -12346/136199 and 0 have the same value? False Is 99072010 bigger than -1? True Are 152130.518 and 2 non-equal? True Is 0 at least 232/438291? False Are -14556346 and -14556344 nonequal? True Which is bigger: -12380 or -15771? -12380 Which is smaller: 0.003754681 or 6? 0.003754681 Is -6931/10931 <= 0? True Is 38253671 less than 38253672? True Which is smaller: -38535 or -38279? -38535 Which is greater: 1.9 or -714840? 1.9 Does -0.2 = 3360851? False Does -606681 = -607437? False Which is greater: 42849034 or 42849038? 42849038 Is 25051 >= 28380? False Which is smaller: 823 or -2/247383? -2/247383 Is -60.571057 at most 1? True Is -7619863/62 >= -122900? False Which is greater: 624/649 or 66? 66 Which is smaller: 13051573 or 13051572? 13051572 Which is smaller: 13 or 1499707? 13 Do -1/2084477 and 1 have the same value? False Which is bigger: 0 or 1851/3214? 1851/3214 Which is smaller: 1406.137075 or 0.1? 0.1 Which is bigger: 292100942 or 292100947? 292100947 Is -69 less than or equal to 26552.8? True Is -1281998 smaller than -1281998? False Is -102633260 bigger than -102633258? False Is 321/47225 equal to 1? False Is -7292 != -1042908/143? True Which is greater: -19064392 or -76257571/4? -19064392 Is 9162/19841 bigger than -1? True Do -8868025 and -8868024 have the same value? False Which is greater: -3406008 or -3405937? -3405937 Which is smaller: -0.15 or -14071203? -14071203 Which is bigger: -22 or -390750? -22 Is -0.046 bigger than 123329? False Is 16/48475033 not equal to 1? True Which is bigger: -4176672 or -4176661? -4176661 Which is smaller: 601051 or -4/323? -4/323 Which is greater: -4806296 or -4806293? -4806293 Which is greater: 0 or -1227868/23? 0 Which is bigger: -175459143 or -1? -1 Is -988/1039 less than -20? False Is -12417 at least 117? False Which is greater: 1056550745/2 or 528275372? 1056550745/2 Is -0.1 not equal to -190599? True Which is smaller: -1/60301817 or 0? -1/60301817 Which is bigger: -205 or -142001/690? -205 Is -3 > 137956? False Which is greater: 374927/2522 or 148? 374927/2522 Is -0.344 > 2/37? False Is -1 bigger than -5/23512197? False Which is smaller: 115/2 or -3301814? -3301814 Is 814892001 at most as big as 814892002? True Is 1438063/425 at most 3385? True Which is greater: -4/3153 or -128441? -4/3153 Which is bigger: -4 or -5543/2087? -5543/2087 Which is smaller: 130939/133 or 986? 130939/133 Which is greater: 1 or -96.9755219? 1 Is -1 at most 1185.5524? True Is -436228/2891 >= -152? True Is 3336 bigger than 1009? True Which is smaller: 173025/341 or 2/7? 2/7 Which is smaller: 81724 or 81830? 81724 Which is smaller: -3.447 or 1983.98? -3.447 Which is greater: -1 or 1112/288431? 1112/288431 Is 397545334 at least 397545334? True Which is smaller: -8353941/10 or -835393? -8353941/10 Are 4 and 2/8159539 equal? False Are -11 and 61.81076 non-equal? True Which is greater: 61 or -844669? 61 Is -11215 bigger than 21423? False Is 73845188 != -0.2? True Do -206557.9 and -5/28 have the same value? False Does 1222 = 79502/65? False Which is smaller: 3884521.9 or -3? -3 Is -11449635 at least -11449629? False Is 2144 less than -41/3642? False Is -1065170 > -13847202/13? False Which is smaller: -2636/94325 or 1? -2636/94325 Are 7227103 and 7227102 nonequal? True Which is smaller: 19.5 or -1/7619? -1/7619 Is -2/1412245527 > 1? False Which is greater: 31140.7 or 1093? 31140.7 Which is smaller: -5845811 or -5845810? -5845811 Which is smaller: -2036/21599 or -1? -1 Is 4/11746943 <= -1? False Which is greater: 1/25847610 or -1? 1/25847610 Is 15030 >= 16000? False Do 5/11680098 and 0 have the same value? False Which is smaller: -814145/3 or 8? -814145/3 Which is greater: -1327325 or -0.28? -0.28 Which is smaller: 3141478 or 9424436/3? 3141478 Is -655783/8 not equal to -81972? True Is 0.03 bigger than -0.1899554? True Which is smaller: -4941124/11 or -449194? -449194 Is -192031/8327 < -24? False Are -1100/218423 and 0 non-equal? True Which is smaller: 30659/420 or 72? 72 Is 174486074 not equal to 174486074? False Do -1960878 and -1961009 have different values? True Which is greater: -1/9757 or -11/590? -1/9757 Which is smaller: 10212 or -15392? -15392 Which is smaller: -1447420/3 or 1? -1447420/3 Is -6839199 >= -6839199? True Which is greater: 4095410 or -4? 4095410 Which is bigger: -39242191 or 2/7? 2/7 Is -1 < -19/264088? True Does 34092 = 2540? False Is 12918617 at least 12918618? False Are 1 and 1/73875097 equal? False Which is smaller: 35046/162689 or 0? 0 Which is smaller: 85.3 or -724.6? -724.6 Which is greater: -1 or 154/365543? 154/365543 Which is smaller: 61079 or 63464? 61079 Which is bigger: -896946 or -896865? -896865 Is 1 less than -5/392632339? False Is -658520446 > -658520446? False Which is smaller: -1306671 or 1/5? -1306671 Is 5 less than -23726648? False Is -7/9 equal to -11137421/2? False Is -644472579 at most -644472580? False Which is smaller: 5 or 16793/3172? 5 Are -2/4791739351 and 0 equal? False Which is greater: 61/35617 or -1? 61/35617 Are -3 and -195313 equal? False Is 75225984 != 75226002? True Which is smaller: -660.98 or -56? -660.98 Is -787713/481 at least -1638? True Are -2 and -19142/11627 unequal? True Are -24153 and -531381/22 unequal? True Is 278/3911089 at least as big as 0? True Is 1 at least -14066/121845? True Which is greater: 0 or -38/6938959? 0 Which is smaller: -26459 or 1.5878? -26459 Is -318/17 greater than or equal to 646/307? False Which is greater: -3931478 or -3931477? -3931477 Which is bigger: -630473 or -630468? -630468 Which is greater: 1 or -1172/57731? 1 Is -1245840 bigger than -8/3? False Is -35462 >= 27/74? False Which is smaller: 0.201866 or 3.5? 0.201866 Which is smaller: 23732 or 113? 113 Which is bigger: -1 or -2/422621963? -2/422621963 Which is smaller: 236071/249 or 0.4? 0.4 Is -25147855 greater than -25147857? True Is 14673941/24 less than 611413? False Are 152/9 and 1.47865 unequal? True Is -0.02855 >= -0.94? True Which is greater: 21671 or 21712? 21712 Which is smaller: 205 or -994? -994 Is -130/7 greater than or equal to -2157/14? True Which is smaller: 191 or 40148/211? 40148/211 Is -4649870 smaller than -4649870? False Which is smaller: -7387 or -17091? -17091 Is 946594/9 >= 105177? True Which is greater: -491814 or -491846? -491814 Is 0 at least as big as 3/573617770? False Do -3926241 and -3926235 have the same value? False Is -2194584 > 0.058? False Which is greater: 553540 or 420/11? 553540 Is 2550188 at most 2550186? False Do 437374 and 437135 have the same value? False Which is bigger: -29585 or -22224? -22224 Is 0.204 at most as big as -7/32002? False Which is smaller: 0 or 10/16232207? 0 Are 8878523 and 8878541 unequal? True Which is bigger: 20301496 or 20301566? 20301566 Are 609518 and 609535 non-equal? True Is -244/47 != 0.51077? True Is 1/70737989 greater than or equal to 0? True Which is smaller: 0 or -31227/95332? -31227/95332 Is -0.8 at least 1256882? False Is 165761 < -295? False Which is smaller: 1/14059590 or 1? 1/14059590 Which is bigger: -171070142 or -171070141? -171070141 Which is smaller: -72/3332803 or 1? -72/3332803 Is 7824/491 equal to 1.7? False Is 68641 less than or equal to 78? False Which is smaller: 57 or -352094? -352094 Which is greater: 2/94329881 or 0? 2/94329881 Is -3/302377397 at least 0? False Which is smaller: 35905479 or 35905478? 35905478 Is 190 > -1879.55? True Which is smaller: 0 or -5542/139551? -5542/139551 Which is smaller: 14965818 or 59863269/4? 59863269/4 Is -2/9 at most as big as 1526.123? True Which is bigger: 21 or 61/99173? 21 Which is bigger: 1/495336 or -3? 1/495336 Which is bigger: 1884007/13 or 144924? 144924 Which is greater: 0 or 1293/468844? 1293/468844 Is -211887 greater than -212430? True Which is bigger: -0.8 or -354824? -0.8 Which is smaller: 1241898988 or 1241898989? 1241898988 Which is smaller: -415123806 or -2/3? -415123806 Which is smaller: 1 or 66/4723621? 66/4723621 Which is greater: 0.2 or -19585083? 0
{ "pile_set_name": "DM Mathematics" }
- 4) -2/15 Calculate ((-7030)/1425 - (-8)/5)/((-4)/(-18)). -15 What is the value of (210/12 + -20)*(-3 + 1)? 5 Calculate -7 + (2 - 1) + 323*25/425. 13 Calculate 8/12*12 + 1. 9 -32*10/20 + (3 - -4) -9 Evaluate 21/36 - (-12 + 424/32). -2/3 What is the value of (28/12)/((-1095)/2700 + 3/5)? 12 39 + 56*(-14)/28 11 Evaluate (3248/(-696) + 3 + 0)*4/10. -2/3 Evaluate ((-57)/19 - (0 + 7)) + 24. 14 0 - (-77)/(-25) - (-8058)/2686 -2/25 Calculate ((-9)/(-108))/(2/72). 3 (2436/(-108) + 23)*(13 + -1) 16/3 Calculate (-1)/(-2) - 14/(-4) - 3800/1200. 5/6 What is the value of 2 - 258/130 - (-125)/1250? 3/26 13920/(-2262) + (-3)/((-156)/8) -6 What is the value of 8/(-30) + (-10848)/(-24480)? 3/17 Evaluate (-54)/(-99) - (2481/2310 - (-1)/(-2)). -1/35 What is the value of (115154/(-3068) - -30) + (-6)/(-177)? -15/2 Calculate 1/(10/(-22))*(-36 - (-12 - 19)). 11 Calculate (82 - 4)/26 + 11/(-1). -8 (-124)/(-155)*60/16 3 ((-94)/(-5217))/((-10)/30) -2/37 Evaluate -23 - (48984/91)/(-24). -4/7 What is the value of -6 + 16/(-10)*(-325)/260? -4 What is the value of 4/((-80)/132) + 96 + -89? 2/5 21/(-3) + 1 - (-86 - -95) -15 What is ((-2)/16)/(11*(-22)/(-2904))? -3/2 What is the value of 21/(-9)*(-1656)/(-644)? -6 Calculate 4/(135*32/80). 2/27 (44/(-66))/((-176)/(-72)) -3/11 What is (344/172)/(2/(-4))? -4 -10*(32/(-5) + -24 + 31) + -3 -9 Evaluate (-8 - -1) + (-466 - -459). -14 What is the value of ((-4)/12 - -4)*680/748? 10/3 What is the value of (-1 + 10 - (-494)/(-57))*-5? -5/3 What is (-11)/(242/12)*17/51? -2/11 What is the value of 4/6*(-81)/(-54)? 1 What is the value of 3*3/(-30) + (-55867)/10410? -17/3 What is the value of (6/(-8))/(1908/160 - 12)? 10 What is 17*(-15 - -28 - 14)? -17 Evaluate (-11)/(19 - 8) + -12*(-1)/2. 5 Evaluate -9 + -5 + 204/15 - (-1)/(-5). -3/5 Calculate (4/3)/(-7 + ((-77)/(-33) - -4)). -2 What is (-8 - -10)/(-34 - -23)? -2/11 What is the value of 18 + -3 + (-476)/140*4? 7/5 Calculate (9/14)/(2124/(-1239)). -3/8 What is 4/14*-56*5/(-400)? 1/5 (4260/200)/(-71)*(-1 + -1) 3/5 What is (-7 + (-519)/(-27) - 12) + (-366)/189? -12/7 Calculate (-1)/((((-63)/120)/7)/((-15)/(-10))). 20 What is ((-2394)/(-54) + -44)*-3*1? -1 Calculate -1 + 32 - (29 + 975/(-39)). 27 Evaluate 968/(-440) + (0 - (-4)/(-30)). -7/3 What is (-1 - 14) + -12 + 20? -7 What is the value of (5/4)/((-3)/(-9)*39/(-52))? -5 What is the value of 114/1767 + (-306)/(-62)? 5 What is 5*2/6 + (-167754)/96516? -1/14 Evaluate (35/(-2))/(-1)*(-222)/13727*-53. 15 What is the value of 5*((-26)/(-24) - 23/276)? 5 Evaluate (1729/(-130) - -5) + 3/10. -8 What is 236/(-354)*(105/(-6) + -2)? 13 (352/(-24) + 15)*21 7 Evaluate 408/84 - 38 - -31. -15/7 Calculate 272/(-952)*3/(-2) + 1. 10/7 Calculate 3710/812 + (-2 - (-40)/(-16)). 2/29 What is (-490)/2380*(1 - (-9)/(-21))? -2/17 (1/1 - -2)*-26*14/2184 -1/2 What is the value of ((-9)/(-7))/(21 + 2160/(-105))? 3 (6 - (-15)/(-2)) + (-6)/12 -2 -109 + 109 + 1/3 + 0 1/3 Calculate (2/(-4))/(1*-1) + 1691/(-1246). -6/7 What is 2691/(-98325) - (-4)/50? 1/19 What is (-1 - 14/(-6))*3744/(-192)? -26 Calculate 1248/(-182) + 8 + -1. 1/7 What is the value of ((-5)/8*-6)/(111/(-296)) - -32? 22 Calculate (20/(-35))/((-130)/(-91)). -2/5 What is (2 + (-14)/8)/(66 - 73)? -1/28 1/(97/291*(-3)/17) -17 (-336)/(-54) - 1400/630 4 7 - ((-115)/(-11) - (-188)/(-47)) 6/11 Evaluate (-216)/(-22) + (-156)/(-858). 10 Evaluate 882/(-105) - 136/(-16). 1/10 What is the value of (-2)/(-2)*-3*630/(-210)? 9 (-8)/(-27)*(-32 - (-5 - 30)) 8/9 What is (198/88)/(2*(6 - 9))? -3/8 -15 + (2 - -4) - -6 -3 Calculate 1/((-4)/24)*(-4)/2. 12 What is 11 + ((1716/12)/13 - (2 + 21))? -1 Calculate (24/33 - 1)*-24*18/432. 3/11 Evaluate 29/((-1044)/630)*8/(-7). 20 What is the value of 4/30 + 4*105/(-1400)? -1/6 Evaluate 18/(-24)*(11635/429 - 27). -1/11 (-1*(-16)/40)/(9/(-12)*-4) 2/15 Evaluate -3 + 0 + (1 - (-3 + 1)) - -7. 7 Calculate (5 + -15 + 11)/(4/(-92)). -23 252/(-546) - 4494/(-273) 16 Evaluate (-962)/(-1443) + 5/6. 3/2 Calculate ((-2)/14)/(520/364). -1/10 2/3*77616/(-2904) + (-4)/22 -18 Evaluate (-1)/(-6)*(-11 - (3410/(-15))/22). -1/9 What is the value of (9*(-66)/18)/(2 - 5)? 11 What is ((-2591)/10364)/(2/72)? -9 ((-180)/(-28))/(-9) + 16 + -22 + 7 2/7 4 + ((28/3)/(-14) + -1)*-15 29 What is 5/((-100)/(-228))*(-30)/(-18)? 19 (-30)/4 - 34608/(-3708) 11/6 Evaluate (-4)/(((-285)/(-45) - 8)*2010/(-25)). -2/67 Evaluate ((-9 - 7 - 3) + -7)*(-2)/4. 13 Calculate (2724/(-108) + 25)*(0 - -3). -2/3 What is (-18)/(-264)*(-112)/42? -2/11 What is 328/(-1066) + (-22)/13? -2 What is the value of 13*(-2 + 5)/(-3)? -13 Calculate (-8)/(-2) - (-32 + 136/4). 2 Calculate 16/(-10) - 1696/(-960). 1/6 Evaluate ((-90)/20*5)/((-39)/26). 15 What is the value of ((-12)/180 + 0)*15/(10/(-2))? 1/5 What is (-12)/14*(309510/3960 - 78)? -3/22 What is (-9)/12*1*1040/(-60)? 13 What is the value of 38/16 - -32*102/(-1088)? -5/8 Evaluate (-9)/1 + (8494/465)/2. 2/15 What is the value of (7 - -2) + -1 + (-66)/8? -1/4 Evaluate -1 - (-10)/(-4) - (32 - 492/24). -15 Evaluate (9/27)/(3/5). 5/9 Calculate (4/(-20))/((-230)/345*(-6)/5). -1/4 Calculate ((-75)/10)/((-175)/(-84))*15/9. -6 What is the value of -16 + (1748/95 - 2)? 2/5 (9 + 1/1)*(-1)/25*-45 18 Calculate 36462/(-18746) - 3/(-13). -12/7 What is the value of 2*(-6 + 115/20)/(31/4)? -2/31 Calculate 4/(-30) - 2/45*-12. 2/5 ((-888)/222)/((-20)/15*(-2)/4) -6 What is the value of ((-330)/(-385))/(-6*10/(-392))? 28/5 What is 18/(-38)*(1016/(-72) - -14)? 1/19 100/(-350)*(-42)/4 3 Evaluate (-652)/(-82) + (-41 - -41) + -8. -2/41 What is (152950/(-276))/133 + 2? -13/6 What is (37 - (27 + 8)) + 1? 3 What is the value of (26/(-50) - -1)/((-1641)/(-2735))? 4/5 Evaluate (4/(-119))/((-56)/196). 2/17 Calculate (((-9)/3)/9)/(17 - 10416/612). 17 Calculate (-12)/5*((-475)/(-75) + -8). 4 What is the value of (-1512)/25740 + (-3)/165? -1/13 Evaluate -30 + (-600)/20*6/(-12). -15 Evaluate (-1 + 92/(-28))*(-484 - -477). 30 548/180 - (33 - 30) 2/45 Evaluate 0/(13 + -3) - (-7)/(-21). -1/3 (95 + -80 - (-634)/(-42))*(-56)/6 8/9 Evaluate (-50)/(-15)*(-72)/2040. -2/17 (-115)/225 + (1/(-9))/(-1) -2/5 Calculate 1*-6 - (-14075)/(-11260). -29/4 What is (2/6 + (-5)/(-21))/((-116)/812)? -4 Evaluate ((-34)/14)/(-17)*16/(-104). -2/91 Evaluate ((-21)/63)/(1*3) + 0/55. -1/9 Calculate (3 - 2) + 8 + -12 + (38 - 23). 12 What is 22/(-7) + (3 - (-2 - -6)) + 3? -8/7 Evaluate -7 - (446/(-55) - 12/(-10)). -1/11 What is ((-4)/(-45))/(600/500)? 2/27 Calculate -8 + (1980/(-693))/((-2)/7). 2 What is (133/76*-3)/(-2*(-63)/28)? -7/6 What is (-11 + (-295)/(-20))*48/18? 10 What is (40 + -7)/(13 + (-15 - -1))? -33 Calculate (-9)/((-18)/5)*6/(265 + 5). 1/18 Calculate 128/(-48) + 1204/420. 1/5 What is (51*(-32)/(-2720))/(45/(-950))? -38/3 What is 31/(-1519)*(3 - -4)? -1/7 What is (-5)/38*((-15444)/390)/(-99)? -1/19 (868/1116)/((-42)/(-90)) 5/3 What is (-12)/(275 - 11) - 4200/528? -8 What is 1/(-3) - ((-800)/(-75) - 2)? -9 Calculate 265/(-212)*((-51)/5 - -3) - 5. 4 5 + (2 - 11) - (-102)/26 -1/13 What is the value of -3 + 41/2 - ((-5)/10)/1? 18 What is the value of ((-111)/296)/(6/(-16))? 1 What is (72/408 + 69/476)*16/(-12)? -3/7 Evaluate (24/(-84) + 185/525)/((-2)/(-12)). 2/5 Evaluate (18*(-10 - (-2176)/216))/((-16)/(-36)). 3 Calculate 18/((-414)/299) + (-10)/(-1). -3 ((-45)/(-6) + (-5)/1)/((-18)/12) -5/3 What is ((-8352)/320)/29*10? -9 8 + 4 + (-2)/((-6)/(-87)) -17 Evaluate ((-6)/(-40))/(18/(-10)*53/53). -1/12 Evaluate 28/49*504/96. 3 What is (-65)/(-286)*(-1 - (-1)/5)? -2/11 Calculate (-2)/(-9) + 651/2457 + (-7)/21. 2/13 0 - (-4 - ((-5)/(-15) - 7)) -8/3 What is the value of (-5 - (-136)/28)*(38/(-4))/19? 1/14 (-10 - 8/(384/(-472)))*18 -3 Calculate (-2*1/8)/(21 + (-21 - -5)). -1/20 (-2)/((-96)/(-516)) + 11 1/4 Evaluate ((-21)/(-4))/((-1)/(104/39)). -14 What is the value of (-28)/(-16)*8/84? 1/6 Calculate -1*(3/9 + 192/18). -11 6/1 - ((-832)/(-17))/8 -2/17 What is (-28)/(-742) - 3132/7155? -2/5 (46 + (-2405)/52)*(-5)/2 5/8 What is the value of ((26/14)/((-4)/(-7)))/(1/4)? 13 Evaluate 5 - (0 + 96/6) - (-3400)/310. -1/31 Evaluate (-6*(-5)/30)/(7/147). 21 What is (38/12 - 3)/((-216)/(-432))*-9? -3 Evaluate -5 + 1222/(-299) + 9. -2/23 ((-168)/(-48))/((-3)/6 - -2) 7/3 2 + -2 + -3*318/306 + 3 -2/17 What is (8/14 - 2)*(63 - 62)? -10/7 Calculate ((-6)/(3/(-1)))
{ "pile_set_name": "DM Mathematics" }
*t + 11*t**2)*((3 - 2 + 1)*(2*t**3 - 4*t**3 + t**3) + 0*t + 0*t + 3*t**3) + (-t + 9*t**4 + t)*(3*t - 4*t - t). -7*t**5 Expand ((-3 + 2 - 2)*(-2*p**5 + 4*p**5 - 3*p**5) - p**5 - 3*p**5 + 6*p**5 - 2*p**5 - 3*p**5 + 2*p**5)*(1 - 2 + 0)*(-6 - 2 + 1). 14*p**5 Expand 4 - o**3 - 4 + (-3 - 2*o**2 + 3)*(2*o - 3*o + 0*o) - 13*o**3 + 2 - 2 + (o**2 - 3*o + 3*o)*(2*o - 2*o - 2*o). -14*o**3 Expand (0*f + 2*f + f)*(f - 3*f + f + (-3 + 4 - 3)*(f - f - 2*f)) - 6*f**2 + 6*f**2 + 2*f**2. 11*f**2 Expand (-1 + 4 - 1)*(2*b + b - 5*b)*(-56 - 1351 + 212). 4780*b Expand (j + 2 - 2)*((0 - 4 + 6)*(4*j - 4*j + j) + (-3 + 2 + 0)*(2195*j + 1666*j - 3275*j)). -584*j**2 Expand -356*y + 356*y - 23*y**3 + (2*y - 4 + 4)*(y**2 + y**2 + 0*y**2). -19*y**3 Expand (-3 - 2 + 0)*(-3 + 1 - 5)*(2*z + z - z). 70*z Expand (0*m - 6*m + 3*m)*(-3*m + 5*m + 0*m) + 3*m**2 + 4*m - 4*m + (2*m + 2 - 2)*(2*m + 0*m - 3*m) + 18*m**2 - 26*m**2 - 175*m**2. -188*m**2 Expand (-15*o**2 - 11*o + 11*o)*(1 - 3 + 1)*(0*o + 0*o - o). -15*o**3 Expand 2*u + 19 + 3 + 34 + (-5 + 2 + 1)*(4*u + 4 - 4). -6*u + 56 Expand (-w**2 - w**3 + w**2)*(-w + w + w) + (w + w - 3*w)*(-w**3 - 2*w**3 + w**3) + (-20*w**3 + 15*w**3 + 20*w**3)*(-5*w + 4*w - w). -29*w**4 Expand 2*h**3 + 5*h**3 - 3*h**3 + 5*h - h**3 - 5*h + (4 + 2*h**2 - 4)*(-2*h + 2*h + 2*h) - 8*h**3 + 11*h - 11*h. -h**3 Expand (3*p - 2*p + 0*p)*(9*p + 3*p + p) + 3*p - 5*p**2 + 3*p**2 + 7*p**2. 18*p**2 + 3*p Expand (3*o**2 - o**2 - o**2)*(-78 + 478*o**3 + 78). 478*o**5 Expand (u + u + 0*u)*(3*u + 3*u - 7*u) + u**2 - 3*u**2 + u**2 + 70*u**2 - 109*u**2 + 54*u**2. 12*u**2 Expand 99*v + 11*v + 67 - 67 + (-4 + 2 + 3)*(0*v - 5*v + v). 106*v Expand (7 - 3*j + 1 - 5 + 1 - 1 - j + 4*j + 0*j - 3*j + (-2*j + 0*j + 0*j)*(2 - 1 - 3) - 4 + 2*j + 4)*(-j - 2*j + 2*j). -3*j**2 - 3*j Expand (-3*n + 2*n + 3*n)*(2 - 2 - n**2) + 2*n**3 + 0*n**3 - n**3 + 36*n**2 - 5 + 20*n**3 + 2 - 31*n**2. 19*n**3 + 5*n**2 - 3 Expand 0*h**5 + h**5 + 0*h**5 + (3*h - h - 4*h)*(-h**4 + 0*h**4 + 3*h**4) - 13*h**4 + 14*h**4 + 7*h**5 + 8*h**5. 12*h**5 + h**4 Expand (160*w**2 + 1685 - 1685)*(-4*w + 5*w - 2*w). -160*w**3 Expand (0 + 2 - 4)*(4*q + 3*q - 6*q) - 2*q + 4*q - 3*q + (2 - 1 - 2)*(825*q + 1237*q - 1723*q). -342*q Expand (-b + 5*b - 3*b)*(858*b - 507*b + 1181*b). 1532*b**2 Expand ((-1 + 0 + 2)*(0 - 2*j + 0) - 240 + 7*j + 240)*(0*j + 6*j - 3*j). 15*j**2 Expand (-2 + 80*l - 2*l - 230*l)*(3*l - 7*l + 2*l). 304*l**2 + 4*l Expand (-4*z - 15*z**2 + 3*z + 313*z**2)*(-1 - z**2 + 1). -298*z**4 + z**3 Expand (-8 - 9 + 0)*(-2 + 20*j - 11*j - 11*j). 34*j + 34 Expand (-1 - 2 + 1 - x)*(239*x**2 + 8*x + 0*x - 240*x**2). x**3 - 6*x**2 - 16*x Expand (3*k**3 - k**3 - k**3)*(-2*k + 3 - 3) + 1 - 1 + k**4 - 2*k**4 + k**4 - k**4 - 58 + 58 - 9*k**4 + (2*k + k - k)*(-2*k**3 + 3*k**3 + k**3). -8*k**4 Expand (14*j**2 + 0*j**2 + 6*j**2)*(-2*j - j + 2*j)*(3 - 5 + 1). 20*j**3 Expand 5*p**5 + 41*p**3 - 36*p**3 + 3*p**5 + (-p**2 - p**2 - p**2)*(0 - 2*p**3 + 0). 14*p**5 + 5*p**3 Expand (6*l + 6*l - 2*l)*(-3 + 3 + 5*l) - l + l - l**2 - 2*l**2 + 4*l**2 - 3*l**2 + (-6 + 2 + 3)*(l**2 - 3*l**2 + 3*l**2). 47*l**2 Expand (0 + z + 0)*(-5 + 105 + 125). 225*z Expand (1 - 1 + 3)*(-3*o + 0*o - o) + (2 + 0 + 0)*(4*o - o + 0*o). -6*o Expand 2*y**3 - 5*y**3 + 4*y**3 + (-2*y + 3*y - 3*y)*(-6*y**2 + 3*y**2 + y**2) + (-3*y**2 + y**2 + y**2)*(-5*y - 13 + 13) - 1 + 1 + 2*y**3. 12*y**3 Expand (2 + 0 + 0)*(-2*w + 4*w - 3*w) - 9*w + 38*w + 17*w + (2 - 2 - 2)*(w + 0 + 0) + 4*w - 4*w - w - 103 + 103 - w. 40*w Expand -4*t**3 - 12*t**3 - 18*t**3 + 0 + 0 - 3*t**3 + (-4*t**2 + 4*t**2 - 2*t**2)*(0 + 0 + t). -39*t**3 Expand -2*i**4 + 0*i**4 + i**4 - i**4 + 5 - 5 + (4 - 4 - 5*i)*(-4*i**3 - 3*i**3 + i**3). 28*i**4 Expand (33*h**2 - 32*h**2 + 49*h**2)*((2*h**2 - 4*h + 4*h)*(-4 + 3 - 1) + 3*h**2 - h**2 - h**2 - 3*h + h**2 + 3*h). -100*h**4 Expand 2*r**3 - r**3 + r**3 + (0 + 0 - r)*(r - 2*r**2 - r) + (-2*r - r + 2*r)*(-5 + 6 + 4)*(-6*r**2 + 10*r**2 + 8*r**2). -56*r**3 Expand (-2 - 2 + 2)*((2*h - 3*h + 0*h)*(2 - 1 + 0) + (-4*h + 2 - 2)*(1 - 1 - 3) + 0*h - h + 2*h)*(-113 + 113 + 15*h). -360*h**2 Expand (-3*l - l + 6*l)*(-3*l**3 + 3*l**3 + 4*l**4) + (4*l**3 + 5*l**2 - 5*l**2)*(-2*l + 2*l**2 + 2*l) + 0*l + 2*l**5 + 0*l. 18*l**5 Expand 3 + r - 3 + (1 - 3 + 5)*(-5 + 3 + 1)*(-67*r - 4 + 4)*(-5 + 5 + 2). 403*r Expand (0*b + b + b)*(-3 - 2 + 3) - 30*b + 48*b + 97*b + 2*b - 4 + 4 + (3*b - 4*b + 2*b)*(1 - 4 + 4) + b + 4*b - 4*b - b - b + 3*b. 116*b Expand ((3 - 3 - 2)*(-z - 2*z + 2*z) + 1 + 2*z - 1 + 3*z + 2*z - 6*z)*(5*z**4 + 18*z**2 - 18*z**2). 15*z**5 Expand (0 + 0 + r)*(2*r - 5*r + 5*r + (-3*r + 2*r + 3*r)*(-2 - 2 + 3) - 4*r + 2*r + r + 11*r + 4*r + 9*r). 23*r**2 Expand (8*g + 2*g - 3*g + 7)*(-2*g + 5*g - 1 - 1). 21*g**2 + 7*g - 14 Expand -s**5 + 2*s**5 + 0*s**5 + (-2 + 2*s + 2)*(5*s**4 - 3*s**4 - 3*s**4) + (-2*s**4 + 3*s**4 + 0*s**4)*(-6174 - 16*s + 6174). -17*s**5 Expand (18 + 13 + 0)*(3*z**5 - z**5 + 0*z**5) + 4*z**5 + 0*z**5 - 2*z**5 + (-z**2 - 2*z**2 + 5*z**2)*(-4*z**3 - 2*z**3 + 4*z**3). 60*z**5 Expand (-55 + 11 - 8417*u + 8419*u)*(5 - 5 + u). 2*u**2 - 44*u Expand -1 + 2*m**3 + 1 + (-5 + 5 - 2*m)*(3*m**2 - m**2 - m**2) + 14*m**3 + 20*m**3 - 39*m**3. -5*m**3 Expand (-8 + 8 - 8*d**2 + (2*d**2 - 2*d**2 + 2*d**2)*(-4 + 2 + 4))*(-58*d - 83*d + 203*d). -248*d**3 Expand (-2 + 2 - 2 + (4 + 3 - 25)*(-1 - 4 + 4))*(-4*h**2 + h**2 + 4*h**2). 16*h**2 Expand (-2*f + 2*f + f)*(-21*f**4 - 114*f**4 + 35*f**4). -100*f**5 Expand (2*g + 2*g**2 - 2*g)*((42*g**2 - 6*g**2 + 60*g**2)*(3 + 4 - 6) + g**2 + 3*g**2 - 3*g**2). 194*g**4 Expand (v - 3*v + 3*v)*(4*v - 1777 - 1787 + 3551). 4*v**2 - 13*v Expand -3*c + 2*c + 6*c + (c - c + c)*(0 + 5 - 3) + (0 + 1 + 1)*(c + 0*c + c) + 0*c + 4*c - 6*c. 9*c Expand (-33*v + 30*v - 97*v)*(0 + 0 + 6*v)*((0*v - v + 0*v)*(1 - 2 + 0) + v - 5 + 5). -1200*v**3 Expand (-5 - 42 - 10)*(3*f**2 - 3*f**2 - 5*f**2). 285*f**2 Expand -2 + 2 + h**2 + (-2*h - 2*h + 2*h)*(3*h + 0*h - h) + 2*h**2 - 5*h**2 + 8*h**2 + 4*h**2 + 3*h**2 - 4*h**2 + h**2 + 2*h**2 - 2*h**2. 6*h**2 Expand -215*j - 3 + 214*j + 2*j**2 + 1 + j**2 + 2*j**2 - 4*j**2 + (-j + 0*j - j)*(-1 + 2*j + 1) - 2 + 2 + 2*j**2. -j**2 - j - 2 Expand (-3*h**2 - 2*h**2 + 4*h**2)*(3*h**2 + 0*h**2 - 4*h**2) - 1029*h**4 + 44929*h - 44929*h. -1028*h**4 Expand (20*r + 2*r - 4*r + ((-1 + 1 - 2)*(-1 + 2 - 3) - 3 + 0 + 1)*(-3*r + 3*r + 4*r))*(3*r + 0*r - r**4 + 2*r**4). 26*r**5 + 78*r**2 Expand (-47 + 5 + 17)*(-h - 31*h**2 + 2 - 3 + 43*h**2). -300*h**2 + 25*h + 25 Expand (-3 - 3 + 2)*(-4*o + 7*o + 4*o)*(5*o - 5*o + 3*o). -84*o**2 Expand (-42 + 12*i + 42)*(-3 + 10 + 2)*((0 + 1 + 1)*(4 - 2 - 4) - 4 + 3 + 0). -540*i Expand (3 - 3 + v)*(0*v**2 + 0*v**2 - 2*v**2) + (-3*v**2 + 0*v**2 + 4*v**2 + 3)*(3*v - 21*v - 18*v). -38*v**3 - 108*v Expand (18 + 14 + 32)*(-2*d**2 + 0*d + 0*d). -128*d**2 Expand (0*k**2 + 0*k**2 - k**3)*(3*k**2 - 6*k**2 - 2*k**2) - 11*k**5 - 24*k**5 + 2*k**5 + (-3*k**2 + 0*k**2 + 5*k**2)*(-2*k**2 + 2*k**3 + 2*k**2). -24*k**5 Expand (1 + 1 - 4 + (-2 + 5 - 2)*(-1 + 5 - 5) - 1 - 1 + 0 + 3 + 3 - 5)*(-68364*n - 298*n**2 + 68364*n). 1192*n**2 Expand (v**2 + 2*v - 2*v)*(-6*v**3 + 5*v - 5*v - 3*v**3 + 2*v**3 + 3*v**3 + (-2*v**2 + 2*v**2 + 4*v**2)*(4 - 4 + 2*v)). 4*v**5 Expand p**5 - 3*p**5 - 2*p**5 + (3*p**5 - 4*p**5 + 2*p**5)*(3 - 4 + 5) - p**5 + 0*p**5 - p**5. -2*p**5 Expand (3 - 4 + 11)*(-4 - 10 + 0)*(3*y - y + 0*y). -280*y Expand (-3 + 2 - 3)*(144*p**5 - 73*p**5 - 84*p**5 + (p**3 + 1 - 1)*(-p + p - p**2)). 56*p**5 Expand (7*v**3 - 3*v**3 + v**3)*(-132 - 71 + 15). -940*v**3 Expand -3*x**5 - 15 - 6*x**5 + 7*x**5 + 2*x**5 + 6*x**5 - 4*x**5 - x**4 - x**5 + x**4 + (-2 + 2 - 2)*(-4*x**5 + 2*x**5 + 4*x**5). -3*x**5 - 15 Expand -1 + u**3 + 1 + (-4*u**2 + 4*u**2 - 2*u**2)*(-u + 1 - 1) + (-4*u**2 + u**2 + 2*u**2)*(8*u + 16*u - 10*u). -11*u**3 Expand 15*w**2 - 28 + 29 - 14*w**2 + 31*w**3 + (2*w**2 + 0*w**2 - w**2)*(3*w + 0*w - 2*w). 32*w**3 + w**2 + 1 Expand (7 + 2 - 3)*(3*a - 9 + 14*a**2 + 19 - 9). 84*a**2 + 18*a + 6 Expand (-6*s**2 + 7*s**2 - 3*s - 2*s)*(4*s - 5*s + 5*s). 4*s**3 - 20*s**2 Expand (4*b**2 - 19*b - 7*b - 3*b)*(0*b**3 + 4*b**3 - 2*b**3). 8*b**5 - 58*b**4 Expand (p + 3*p - 2*p)*(-4*p + 24*p - 2*p) + (-3 + 3 - 2*p**2)*(0 - 2 + 1) + 0*p**2 + p**2 + 0*p**2 + p**2 + 0 + 0. 40*p**2 Expand -891*c**2 + 891*c**2 + 67*c**4 + (-2
{ "pile_set_name": "DM Mathematics" }
t a(j) = -2*j**2. Let m(k) = -10*k**2 - 2101*k. Give m(a(s)). -40*s**4 + 4202*s**2 Let d(x) = 14*x**2 + 26*x**2 + 35*x**2 - 70*x**2 + 18*x**2. Let a(r) = 3*r**2 - r + r + 0*r**2. Determine a(d(g)). 1587*g**4 Let x(a) = -164*a - 324. Let p be x(-2). Let k(y) be the third derivative of 0*y**3 + 1/12*y**p + 0*y + 0 - 15*y**2. Let d(v) = -36*v**2. Calculate d(k(i)). -144*i**2 Let q(d) = -2*d**2. Let c = 228 - 221. Let y(p) = 24*p + 51*p + c*p. What is q(y(n))? -13448*n**2 Let i(a) = 6*a**2. Let s(m) = 97255431*m. What is s(i(t))? 583532586*t**2 Let w(a) be the second derivative of -a**3/6 - 2*a. Let t(s) be the first derivative of 45*s**3 - 48814. Give w(t(g)). -135*g**2 Let x(t) = -9 - 1436*t**2 + 1437*t**2 + 9. Let y(k) = k**2 + 1764*k. What is y(x(w))? w**4 + 1764*w**2 Let k(y) = 328*y + 7380. Let s(r) = r + 18. Let g(m) = -k(m) + 410*s(m). Let q(f) = 5*f. What is g(q(l))? 410*l Let q(i) be the third derivative of 0*i**3 + 0 + 0*i + 1/30*i**5 + 0*i**4 + 45*i**2. Let x(k) = 45*k**2. Determine q(x(m)). 4050*m**4 Let t be (-50)/10 - 33*1. Let g be (2/5)/(t/(-475)). Let o(w) = 4*w**2 - w**2 - g*w**2 + 0*w**2. Let z(a) = 6*a. What is o(z(l))? -72*l**2 Let l(t) = t**2. Let u(f) = 2*f**2 - 2*f - 27. Let r be u(5). Suppose r = i - 3*c - 0*c, 2*c - 10 = 0. Let d(s) = 25*s**2 - 14*s**2 + i*s**2. Calculate l(d(a)). 1521*a**4 Let m(h) = 8*h - 88. Let i(f) = 4*f - 48. Let z(u) = 11*i(u) - 6*m(u). Let k(l) = -340*l. Calculate z(k(t)). 1360*t Let q(k) = 603*k - 200*k - 197*k - 204*k. Let o(r) = -425*r**2 - 3. What is o(q(g))? -1700*g**2 - 3 Let z(a) = 4*a. Let l(w) = -652 + 1106*w + 1041*w - 156*w + 653. Calculate z(l(o)). 7964*o + 4 Let z(r) = 2*r**2. Let n = 66 - 24. Let u = n + 27. Let i(c) = -u*c**2 - 53*c**2 + 129*c**2. Determine z(i(b)). 98*b**4 Let n(z) = -17*z**2 + 4*z**2 - 24*z**2 - 19*z + 19*z. Let w(g) = 2*g + 0*g - 7*g - 4*g. Give w(n(t)). 333*t**2 Let t(j) = 4*j. Let r be -3 - -3 - (-10 - -1). Suppose -3*u = 5*f - 10, 7*u - 8*u = 2*f - 5. Let h(w) = 4*w - r*w + 8*w**2 + f*w. Calculate h(t(p)). 128*p**2 Let a(x) = 144*x**2. Let p(r) = -21227*r**2. Calculate p(a(v)). -440163072*v**4 Let z(y) = -2*y + 1808. Let v(d) = -7*d**2 - 5*d - 2. Calculate v(z(x)). -28*x**2 + 50634*x - 22891090 Let j(g) = -5*g. Let n(q) = q**3 + q**2 - q + 15. Let k be n(0). Let c(t) = 8*t**2 - k*t + 22*t - 7*t. Calculate c(j(m)). 200*m**2 Let l(w) be the second derivative of -w**3 + w. Let g be -4*(20/(-8) - -2). Let y(i) = 16*i**g - 61*i**2 + 25*i**2 + 24*i**2. Determine y(l(m)). 144*m**2 Let n(y) = -9*y. Let f(k) = 44793599*k**2. What is n(f(j))? -403142391*j**2 Let j(k) = -19*k. Let r(g) = 95*g + 797. Determine j(r(d)). -1805*d - 15143 Let n(v) = 2*v**2. Let w(t) = -2*t**2 + 543428*t - 5. Calculate w(n(h)). -8*h**4 + 1086856*h**2 - 5 Let o(f) = 3*f**2. Let x(k) = 100003998*k**2 + 1. Give x(o(r)). 900035982*r**4 + 1 Let h(a) = -a**2 + 11*a + 1. Let q(f) = 8*f**2 - 99*f - 9. Let x(r) = 18*h(r) + 2*q(r). Let g(p) = -71*p + 6. Determine x(g(m)). -10082*m**2 + 1704*m - 72 Let c(l) = -34*l. Let i(w) = -7*w - 54. Let v be i(-4). Let d(z) = -4*z + 39. Let m(u) = u - 9. Let n(g) = v*m(g) - 6*d(g). Calculate n(c(s)). 68*s Let w(o) = 385956*o. Let p(l) = 72*l**2. Determine p(w(g)). 10725266443392*g**2 Let k(q) = q**2. Let y(j) be the second derivative of -11*j**6/90 - j**3/6 + 71*j**2/2 - 16*j. Let b(f) be the second derivative of y(f). Determine b(k(t)). -44*t**4 Let r(b) = -4*b. Let n(d) = -5*d + 5*d - 3*d. Let x(k) = -5*n(k) + 3*r(k). Let t(q) = -3*q**2 + 13*q - 32*q + 9*q + 10*q. Give t(x(p)). -27*p**2 Let t(f) = -f - 1. Let d(j) = -65*j - 52. Let v(o) = d(o) - 52*t(o). Let p(m) = -965*m + 1932*m + 7*m**2 - 967*m. What is p(v(x))? 1183*x**2 Let g(p) = -6118772*p + 6118772*p + 2*p**2. Let z(s) = -4479*s**2. Calculate g(z(l)). 40122882*l**4 Let d(h) = -h - 10. Let u(b) = 7449*b. Give u(d(r)). -7449*r - 74490 Let p(m) be the third derivative of 0*m**3 + 29/24*m**4 + 0 + 0*m - 116*m**2. Let i(j) = j**2. Calculate p(i(r)). 29*r**2 Let d(w) = 2*w**2. Let z(a) = -6*a + 84. Let i(j) = -32*j + 417. Let h(t) = 2*i(t) - 11*z(t). Calculate d(h(r)). 8*r**2 - 720*r + 16200 Let n(o) = 2*o. Let t(i) = 11*i + 68. Let c be t(-6). Let h(m) = 157*m**2 + 254*m**2 - 619*m**c. What is n(h(p))? -416*p**2 Let m(t) = 91*t - 162*t + 79*t. Let y(b) = -184*b. What is m(y(a))? -1472*a Let i(u) be the third derivative of u**4/24 + 21*u**2 - 89*u + 1. Let x be 4*(9/12)/3. Let j(a) = 2*a - x + 1. What is i(j(n))? 2*n Let b(s) = 961*s**2 + 745*s**2 - 1899*s**2. Let y(n) = 13*n**2. Calculate b(y(d)). -32617*d**4 Let y(w) = -400*w - 2. Let t(g) = -14*g + 120. Let l(b) = -2*b + 20. Let c(z) = 6*l(z) - t(z). What is c(y(u))? -800*u - 4 Let d(o) = 91*o + 2. Let p(t) be the first derivative of 2*t**3 + 922. Calculate d(p(x)). 546*x**2 + 2 Let q(l) be the first derivative of 0*l**2 + 1/3*l**3 + 0*l + 219. Let r(s) be the third derivative of s**5/60 + 11*s**4/24 - 2*s**2. What is r(q(g))? g**4 + 11*g**2 Let c(r) be the first derivative of r**3/6 + 43*r - 22. Let x(d) be the first derivative of c(d). Let f(b) = -10*b**2 + b. Give f(x(m)). -10*m**2 + m Let k(a) be the second derivative of a**5/120 + 11*a**3/6 - 110*a. Let y(m) be the second derivative of k(m). Let v(t) = -t - 8. Calculate y(v(n)). -n - 8 Let l(f) = -6*f + 69. Let o be l(10). Let x(j) = -7*j**2 - j**2 + o*j**2. Let u(a) = 14*a**2. Determine x(u(r)). 196*r**4 Let v(f) = -32*f**2 + 25*f + 5. Let p(n) = -19*n**2 + 15*n + 3. Let k(x) = 10*p(x) - 6*v(x). Let h(t) = -7*t - 577. What is h(k(a))? -14*a**2 - 577 Let k(b) = -3*b. Let w(g) be the first derivative of 27*g**4/4 + 23*g + 61. Let o(l) be the first derivative of w(l). What is o(k(p))? 729*p**2 Let a(m) = -67*m - 8. Let s(l) = -925*l - 110. Let x(h) = 110*a(h) - 8*s(h). Let p(t) = 5*t + 2*t - 13*t. Determine x(p(k)). -180*k Let g(f) = 51*f. Let y = 2263 - 2263. Let x(j) be the first derivative of -11 + 2/3*j**3 + y*j + 0*j**2. Calculate x(g(m)). 5202*m**2 Let t(x) = -5*x**2 - 441. Let z(g) = -110*g - 2. Calculate z(t(i)). 550*i**2 + 48508 Let m = -11 - -18. Let o(j) = -m*j + j + 5*j. Let l(x) be the second derivative of 10*x**3/3 + 236*x + 1. Give l(o(r)). -20*r Let f(y) = 111972*y. Let r(h) = -36*h - 4. Give f(r(d)). -4030992*d - 447888 Let s(d) = 3*d**2 - 2*d. Let l(a) = -102*a + 6. Let h(n) = -118*n + 7. Let v(z) = -6*h(z) + 7*l(z). Calculate s(v(k)). 108*k**2 + 12*k Let k(h) = 2*h**2. Suppose y - 5*z = 58, -5*y + z - 3*z = -209. Let q = y + -32. Let w(a) = a + q*a - 12*a + 11*a**2. Calculate w(k(s)). 44*s**4 Let v(n) = -10*n**2. Let k = -234 - -237. Let d(l) = -8*l - k*l - 2*l + 8*l. What is v(d(a))? -250*a**2 Let w(h) be the first derivative of 11*h**3/3 + h + 1117. Let p(j) = j**2. Calculate w(p(d)). 11*d**4 + 1 Let k(j) = -2*j**2 - 1008*j - 6089. Let p(v) = -2*v. What is k(p(i))? -8*i**2 + 2016*i - 6089 Let a(p) = -2057*p**2 + 2. Let u(d) = -114*d - 23. Calculate u(a(f)). 234498*f**2 - 251 Let o(s) = 2*s. Let a(m) = 23*m + 5. Let u(h) = -3*h + 1. Suppose 0 = 5*c - 5*y + 20, -5*y + 15 + 6 = -4*c. Let k(r) = c*a(r) - 5*u(r). What is k(o(i))? 76*i Let r(q) = -6704586*q. Let w(l) = l**2 + 13*l. What is r(w(s))? -6704586*s**2 - 87159618*s Let p(x) = 3*x + 341881. Let o(y) = -2*y + 8. What is o(p(h))? -6*h - 683754 Let p(n) = n. Let w(l) be the second derivative of 227*l**3/6 + 15*l - 21. Give w(p(z)). 227*z Let q(g) = 3011403*g. Let v(n) = -4*n. Calculate q(v(z)). -12045612*z Let j(o) = -2*o**2. Let h(g) be the third derivative of -2*g**7/315 + g**4 - 28*g**2 + g. Let w(c) be the second derivative of h(c). Determine j(w(q)). -512*q**4 Let i(t) be the second derivative of -4*t**3/3 - 1221*t. Let k(d) = -5*d**2. Give i(k(n)). 40*n**2 Let n(a) = 39071*a. Let h(j) = 264*j. Let r(d) = -445*h(d) + 3*n(d). Let k(i) = 11*i - 25. Let c(p) = -15*p + 35. Let g(t) = 5*c(t) + 7*k(t). Calculate r(g(u)). -534*u Let q(v) = -50 - 21 - 33 - 46 + 81 + 8*v. Let s(g) = 4*g**2. What is q(s(f))? 32*f**2 - 69 Let m(q) be the third derivative of -q**4/12 + 3*q**3/2 + 3*q**2. Let j(t) be the first derivative of 1/2*t**2 + 89 + 0*t. Determine j(m(n)). -2*n + 9 Let j(t) = -2421*t**2 + 5. Let u(c) = -2428*c**2 + 6. Let a(s) = 6*j(s) - 5*u(s). Let z(n) = -n**2. Determine z(a(i)). -5692996*i**4 Let o(x) = 4270*x**2 + 430*x. Let h
{ "pile_set_name": "DM Mathematics" }
from cjcjcjcccjjcc. 16/143 What is prob of picking 1 j and 1 h when two letters picked without replacement from jmhmmmwjwdwm? 1/33 Calculate prob of picking 3 e when three letters picked without replacement from iuieufiiiuu. 0 Calculate prob of picking 2 i and 1 v when three letters picked without replacement from kkkkkbikvkkikkvkvkk. 1/323 Three letters picked without replacement from {z: 2, b: 2, d: 12, c: 4}. Give prob of picking 1 z, 1 d, and 1 b. 4/95 Two letters picked without replacement from {u: 2, d: 6, i: 3, b: 2}. What is prob of picking 2 u? 1/78 Three letters picked without replacement from ccicccccicccc. Give prob of picking 2 i and 1 c. 1/26 Calculate prob of picking 2 i and 2 t when four letters picked without replacement from ooiootoioohtpoohoooo. 1/4845 Three letters picked without replacement from lalccaolacoalm. Give prob of picking 1 m and 2 o. 1/364 Calculate prob of picking 1 y and 1 w when two letters picked without replacement from wyddwyddwwywyy. 25/91 Four letters picked without replacement from pgphpppggpgpgppgp. What is prob of picking 2 p, 1 g, and 1 h? 27/238 Two letters picked without replacement from tnkcttttcpntcpnpphp. What is prob of picking 1 k and 1 p? 5/171 Two letters picked without replacement from {c: 2, z: 2, k: 3, w: 4}. Give prob of picking 2 w. 6/55 What is prob of picking 2 x when two letters picked without replacement from llwwxwwx? 1/28 What is prob of picking 1 l and 2 e when three letters picked without replacement from lzeess? 1/20 Four letters picked without replacement from {n: 9, l: 9, t: 1}. What is prob of picking 4 n? 21/646 Calculate prob of picking 1 d, 1 m, and 1 c when three letters picked without replacement from {d: 7, m: 2, c: 3}. 21/110 Three letters picked without replacement from {u: 3, t: 6, l: 6, j: 4}. Give prob of picking 1 l and 2 j. 12/323 Calculate prob of picking 3 p when three letters picked without replacement from ppprprp. 2/7 Calculate prob of picking 1 f, 1 h, and 1 s when three letters picked without replacement from {f: 4, h: 1, c: 1, s: 8, x: 1}. 32/455 Two letters picked without replacement from {y: 9, o: 5}. What is prob of picking 2 y? 36/91 Four letters picked without replacement from {x: 7, i: 5}. Give prob of picking 2 i and 2 x. 14/33 Two letters picked without replacement from wiwuuiwlcii. Give prob of picking 1 c and 1 u. 2/55 Two letters picked without replacement from jjgjjgjjj. What is prob of picking 2 g? 1/36 Two letters picked without replacement from {v: 1, d: 1, r: 2, s: 1, g: 1, j: 1}. What is prob of picking 1 s and 1 g? 1/21 What is prob of picking 1 f, 1 x, and 2 d when four letters picked without replacement from xfxxxxdxdx? 1/30 Two letters picked without replacement from dddddudujduuju. Give prob of picking 1 j and 1 u. 10/91 Four letters picked without replacement from hhdonnhdhn. Give prob of picking 1 d, 2 n, and 1 h. 4/35 Three letters picked without replacement from kkk. What is prob of picking 3 k? 1 Three letters picked without replacement from {x: 3}. What is prob of picking 3 x? 1 Calculate prob of picking 1 c, 1 x, and 1 h when three letters picked without replacement from xggggcxhoggxggggc. 3/340 Two letters picked without replacement from {o: 3, l: 1, m: 3, x: 3, y: 1}. Give prob of picking 1 m and 1 o. 9/55 What is prob of picking 2 l when two letters picked without replacement from {y: 1, l: 4, i: 2, s: 2, x: 3, t: 8}? 3/95 Three letters picked without replacement from {q: 6, d: 4, f: 3}. What is prob of picking 3 d? 2/143 What is prob of picking 1 b, 1 k, 1 x, and 1 a when four letters picked without replacement from {y: 7, a: 2, k: 1, x: 2, b: 4}? 4/455 What is prob of picking 3 v and 1 j when four letters picked without replacement from vjvvvjvvvjv? 28/55 What is prob of picking 1 e, 1 o, and 1 t when three letters picked without replacement from yyyyyotoyeoy? 3/220 Three letters picked without replacement from {s: 3, t: 1, e: 1}. Give prob of picking 3 s. 1/10 Two letters picked without replacement from {a: 13, d: 3, f: 2}. What is prob of picking 1 d and 1 a? 13/51 Three letters picked without replacement from ccckckkkckcc. What is prob of picking 3 k? 1/22 What is prob of picking 4 n when four letters picked without replacement from {n: 6, x: 1, h: 7}? 15/1001 What is prob of picking 1 i and 2 k when three letters picked without replacement from bixykxvbk? 1/84 Calculate prob of picking 1 u and 3 p when four letters picked without replacement from pssmppssuukpmpsp. 2/91 Calculate prob of picking 3 c when three letters picked without replacement from hckcyckklkgk. 1/220 Two letters picked without replacement from wlwbjjwwwwwwwwwwwjl. Give prob of picking 1 b and 1 l. 2/171 Calculate prob of picking 1 w, 1 b, and 1 f when three letters picked without replacement from bwwwwxwfxwxb. 3/55 Calculate prob of picking 1 w and 2 k when three letters picked without replacement from {k: 11, w: 3}. 165/364 What is prob of picking 2 c when two letters picked without replacement from xcmddddcdmzm? 1/66 Calculate prob of picking 1 g and 3 c when four letters picked without replacement from cccccccgcgccc. 6/13 Two letters picked without replacement from nggc. What is prob of picking 1 g and 1 n? 1/3 Calculate prob of picking 2 i when two letters picked without replacement from iiiiigiiggiiii. 55/91 Calculate prob of picking 1 q, 2 t, and 1 d when four letters picked without replacement from {k: 2, d: 1, x: 9, t: 5, q: 1}. 1/306 What is prob of picking 1 h and 2 u when three letters picked without replacement from ububhhhhbuhubhuuh? 21/136 Two letters picked without replacement from {g: 1, f: 5, b: 1, o: 3}. What is prob of picking 1 f and 1 b? 1/9 Four letters picked without replacement from bkkkkkkbbbk. What is prob of picking 3 k and 1 b? 14/33 Two letters picked without replacement from jbimncj. Give prob of picking 1 i and 1 n. 1/21 Two letters picked without replacement from {o: 1, n: 5, w: 4, i: 6, f: 4}. What is prob of picking 1 w and 1 i? 12/95 What is prob of picking 1 b, 1 z, and 2 h when four letters picked without replacement from {b: 3, z: 4, a: 1, v: 1, h: 2, n: 1}? 4/165 Four letters picked without replacement from cccctct. Give prob of picking 3 c and 1 t. 4/7 Four letters picked without replacement from ffffffffff. What is prob of picking 4 f? 1 Four letters picked without replacement from {a: 4, o: 3, u: 2, x: 2, v: 1}. What is prob of picking 2 o, 1 a, and 1 v? 4/165 Two letters picked without replacement from ddfff. What is prob of picking 2 d? 1/10 Calculate prob of picking 1 w and 1 x when two letters picked without replacement from {w: 4, x: 3, d: 3, z: 1}. 12/55 What is prob of picking 1 l, 1 i, and 1 a when three letters picked without replacement from {a: 4, l: 6, i: 2, m: 3}? 48/455 Two letters picked without replacement from {o: 1, h: 1, g: 1, c: 2, k: 2, t: 1}. Give prob of picking 1 c and 1 g. 1/14 Three letters picked without replacement from vpjsscm. What is prob of picking 2 s and 1 j? 1/35 Two letters picked without replacement from {w: 1, s: 1, g: 1, p: 2, c: 1, u: 1}. What is prob of picking 1 p and 1 g? 2/21 Calculate prob of picking 1 n, 1 j, and 1 z when three letters picked without replacement from inzjzjzjnznzz. 27/143 Two letters picked without replacement from ijjjiibibbizbiiijjbi. Give prob of picking 2 j. 1/19 Calculate prob of picking 3 k and 1 w when four letters picked without replacement from {m: 1, w: 4, k: 1, t: 2, e: 2}. 0 Calculate prob of picking 1 k, 2 x, and 1 w when four letters picked without replacement from {x: 2, w: 4, k: 4}. 8/105 What is prob of picking 2 d when two letters picked without replacement from {v: 4, d: 5, p: 1}? 2/9 What is prob of picking 2 z when two letters picked without replacement from pnzbzbzz? 3/14 What is prob of picking 2 k and 1 m when three letters picked without replacement from {m: 3, k: 5, x: 2}? 1/4 Three letters picked without replacement from sschcshhlhcalcacs. What is prob of picking 1 h, 1 a, and 1 c? 1/17 Four letters picked without replacement from ifrivci. Give prob of picking 3 i and 1 c. 1/35 Calculate prob of picking 1 n, 1 y, and 1 r when three letters picked without replacement from ynbrbuc. 1/35 Two letters picked without re
{ "pile_set_name": "DM Mathematics" }
Let o = 23369/48 - n. Calculate the common denominator of o and t. 16 Let d be ((-284)/10)/(-4*1/10). Let l = d - 59. Calculate the smallest common multiple of 56 and l. 168 Let d = 298291/22 - 13554. Let q(z) = z**3 - 3*z**2 + z - 4. Let f be q(3). Find the common denominator of (f/(-3))/(5/85) and d. 66 Let w(f) = -301*f - 1448. Calculate the least common multiple of w(-8) and 120. 960 Let z(m) = 7*m + 26. Let p be 1*3*72/(-54). Let s be z(p). What is the common denominator of (-1 + s/(-6))/(60/963) and 20/11? 110 Let t = -132721/30 + 4427. Let w = -685921/40 + 17149. What is the common denominator of t and w? 120 What is the common denominator of -93/4192 and (38/(-4))/(64/20)? 4192 Let r = 2275/9 - 65768/261. Find the common denominator of r and -7/58. 58 Let t be ((-1476634)/(-6))/(-4 - 749/(-63)). Let s = t + -31196. Calculate the common denominator of s and 93/10. 710 Suppose 5*v + 306 = 3*i - 3418, v + 6236 = 5*i. Calculate the least common multiple of 156 and i. 1248 Suppose -4*f - 2 = 26. What is the smallest common multiple of 9 and 17 - f/(28/16)? 63 Suppose 2*c - 8 = -2*g - 0*g, 0 = 2*c - 2*g - 8. Calculate the smallest common multiple of c and (27/(-3) - -9) + 68. 68 Suppose 2*f - 20 = -21*m + 17*m, -6 = -f. What is the smallest common multiple of m and 2522? 2522 Calculate the common denominator of 113/6 and (-3)/351*15 + -1 + 3. 78 What is the lowest common multiple of ((-100710)/(-24))/15 + (-2)/(-8) and 56? 280 Let o be 5 - 6*4/6. Find the common denominator of 83/8 and 486/(-1152) - (-1)/o. 64 Let q = -200/331 - 18473/14895. Let x = -2857/250 + 7/250. Find the common denominator of q and x. 45 Let b be (-36)/45 - 718/(-10). Let r = b - 69. Suppose 0 = 2*x - x - 5*m - 17, 2*m + 10 = r*x. What is the least common multiple of x and 8? 8 Let h(p) be the second derivative of 5*p**3/6 - 57*p**2/2 + 30*p. Let b be h(0). Let s = -45 - b. What is the least common multiple of 40 and s? 120 Let l be ((-6)/(-22))/(142/(-40) - 2). Let w be 5/(915750/2082665) + (-4)/18. Let m = w + l. What is the common denominator of 117/10 and m? 10 Let z = 860 - -56. Suppose 6*l - 3*l + 18 = 0. Find the common denominator of -62/3 and (1/(-2))/(l + z/156). 30 Let t = 263 - 5713/22. Find the common denominator of t and 39/11044. 11044 What is the lowest common multiple of 36 and 460 + 171/19 + -10? 1836 Let z(u) = 13*u**2 + 20*u + 55. Let j be z(-3). Let n = j - 3647/33. What is the common denominator of 2/(-18)*1044/(-42) and n? 231 Suppose 4*o + 2*o - 278 = -104. Calculate the least common multiple of o and 1. 29 Let r = 661 + -661. Suppose 5*l + 4*u - 27 = r, -24 = -4*l + 6*u - 10*u. What is the lowest common multiple of 21 and l? 21 Let k be (-20)/(-510)*(-53181)/24. Let v = k + 335/4. Calculate the common denominator of v and 49/6. 102 Suppose 4*m - 4*f + 1932 = 9*m, 4*f + 28 = 0. What is the smallest common multiple of m and 104? 5096 Let v = -445376 - -1247052783/2800. What is the common denominator of -91/1100 and v? 30800 Let y be 30/(-225) + -1 + 4734/3705. Let k = 14249/3458 - y. Find the common denominator of k and -149/24. 168 Suppose 19*h - 11*h = 104. Suppose 9*j = h*j - 84. What is the least common multiple of 6 and j? 42 Find the common denominator of 97/138 and (7 + 39 + -35)/((2 - 2) + 115). 690 Suppose h + 0 = 44. Suppose 0 = -35563*y + 35531*y + 1408. What is the least common multiple of y and h? 44 What is the lowest common multiple of 33 and ((-222)/(-2442) - (-25012)/22) + 7 + -1? 12573 Let j = -34243 + 58593. Find the common denominator of (-8)/10 - j/(-15750) and -125/66. 1386 Suppose 7*k - 10*k - 31850 = -68*k. What is the least common multiple of 833 and k? 8330 Let j = 3449/4 + -20663/24. Suppose 0 = -3*f + 1 + 2, 2165 = -4*p + 5*f. Calculate the common denominator of 245/p + (-4)/16 and j. 216 What is the common denominator of ((-488)/(-100))/(8/6*(-6)/10) and 121/1128? 5640 Let x = -4/7291 - -1006234/138529. Let s = x - 41/228. Find the common denominator of -67/18 and s. 36 Let g = -9294 - -11925. What is the least common multiple of g and 8? 21048 Calculate the common denominator of ((-153)/119)/((-4)/(-14)) and 0 + (-860)/(-304) + -4. 76 Let j = -169643/468 - -4678/13. Let n = 647612/45 - 14393. Calculate the common denominator of j and n. 180 Let f be -24 - -23 - (-8)/(-6)*15. Find the common denominator of (f/(-105))/(42/(-485)) and 83/48. 336 Let h = -8747139/2834 - -6173/2. Let s be (3 + (-1125236)/(-6540))/(1664/(-96)). Let d = h - s. What is the common denominator of -47/12 and d? 60 Let x be 36/16*(-40)/3. Let q(y) = -3*y - 81. Calculate the least common multiple of q(x) and 13. 117 Let s be (-2 - (-7 - 0)) + -1. Let f(g) = g. Let m be f(5). Suppose -m*b = -6*b + s. What is the least common multiple of b and 5? 20 Suppose -10*b - 3*j - 10 = -161, b - 3*j - 25 = 0. Calculate the smallest common multiple of b and 552. 1104 Let b be (-259631)/(4 + (-1656)/(-6)). Let m = b + 6471/7. Calculate the common denominator of m and 145/84. 840 Let o be 1/(((-8)/14)/4). Let g = 1785907/128 + -13953. Calculate the common denominator of g and (11/o)/((-36)/14). 1152 Suppose 32*l = 17*l + 24300. Find the common denominator of (4 - 2) + 89/(-4) and (-2)/(-12)*(l/(-25) - 3). 20 Let q = -563 + 566. Suppose -6*c + 2*c + 60 = 4*d, 2*c + q*d = 34. What is the least common multiple of 11 and c? 11 Suppose 3*q = -4*x - 467, 313 = -6*q + 4*q - 3*x. Find the common denominator of (30/(-8))/(-5) + q/72 and 22/81. 648 Let i be 2/(((-32)/(-2120))/(-2)). Let z = i + 277. Calculate the smallest common multiple of z and 2. 12 Suppose 9327 = -19*f + 9517. Calculate the smallest common multiple of f and 4604. 23020 Suppose 2*z - 7 - 3 = -3*n, -5*z + 11 = 4*n. Let i(g) = -g**3 + 6*g**2 + 3*g. Let u be i(6). Calculate the least common multiple of n and 3/15 + u/10. 4 What is the lowest common multiple of 24/(-6) - 1 - (-3 + -4024) and 14? 28154 Let r = -484 + 490. Let p = 17699/2096 + -312/131. What is the common denominator of p and (-4)/r - (-3002)/2052? 432 Let i be ((-5545)/(-15486))/((-2)/(-3)). Let h = -85/356 - i. Let v = 17606 + -316829/18. Find the common denominator of v and h. 522 Suppose -6*b = -3*b - 15. Suppose -4*w + 3 = -b. Let t(m) = -m**3 - 6*m**2 - 5*m + 10. What is the smallest common multiple of w and t(-5)? 10 Let k = -5403 + 2581. Let u = k - -16829/6. Let m = -68/3 + 112/3. Find the common denominator of m and u. 6 Let u be (22/(-6))/((4/4)/(-3)). Suppose -o - u*o = -180. What is the smallest common multiple of 21 and (-4)/((-12)/o) + 16? 21 Let d = 3697 - 3581. Calculate the lowest common multiple of d and 22. 1276 What is the least common multiple of 2097 and ((-75)/(-30))/(6/(2795 - -1))? 10485 Let n = 669232/325 + -135990629/3900. Let w = -32811 - n. Calculate the common denominator of w and -1/54. 540 Let h = -16 - -21. Let w(v) = -v**3 + 6*v**2 - 6*v + 12. Let d be w(h). Suppose d = -2*g + 27. What is the least common multiple of g and 12? 60 Suppose 5*x - 130 = -3*w, w = x - 4*x + 38. Let r(l) = -l**2 + 53*l - 504. Let i be r(39). Let p = w - i. What is the smallest common multiple of p and 3? 24 Let h be 2/13 + (-30290)/(-845). Calculate the common denominator of (-27)/h - (-543)/(-36) and -11/144. 144 Suppose 0 = -6*p + 8*p - 188. Let q(j) = j**2 + 4*j + 31. Let v be q(-9). Let f = p - v. Calculate the lowest common multiple of 14 and f. 126 Suppose 3*q - 109 = -2*a, -5*q - 10 = -a + 25. Suppose -2*w = 2*l - a + 16, 5*l + 4*w = 84. What is the lowest common multiple of 16 and l? 16 Let i(b) = 392*b + 211. What is the smallest common multiple of i(1) and 45? 3015 Suppose -5*o + 416 = -3*z, 0*o + 4*o = -2*z - 314. Let x = z + 35. What is the common denominator of 61/16 and (-5016)/x - 2/7? 16 Let t be (-5 - -2)/3 + 1. Let m(q) = -q**3 + 14*q**2 + 33*q - 20. Let y be m(16). Let s = t - y. Calculate the least common multiple of s and 8. 8 Let y = 129 + -109. What is the lowest common multiple of 988/y - (-10)/(-25) and 28? 196 Suppose 4*u - 1 = 63. Suppose 5*n = 5*o - 75, 0 = 4*o + n - 22 - 18. Suppose -4*f = 4, -o*m - 2*f = -12*m + 10. What is the smallest common multiple of m and u? 16 What is the common denominator of ((-1)/(-6))/((-9)/4) and 1/(-4)*1/(24/(-1848))? 108 Suppose -v + 64 + 278 = -2*f, 4*v = -2*f +
{ "pile_set_name": "DM Mathematics" }
et k be v(1). Let i be (-1)/3 + 282/(-9). Let u = k + i. Is u >= -1? True Suppose 0 = 3*i + 2*g + 8, 4*g - g = 2*i - 12. Is 2/25 > i? True Let c be -3*4/2682*3. Let k = 288/745 - c. Suppose 15 = -11*y + 4. Which is bigger: y or k? k Let o(s) = s + 7. Let g be o(-5). Suppose 0 = -0*j + g*j. Let f be -1 - (-6)/8 - j. Is 1 < f? False Let w = 5.2 - -1.8. Let q = w + -6. Is q smaller than -4? False Let h = 123 + -17587/143. Which is smaller: h or 0? 0 Suppose -5*x - 13 = 2*s, -12 = 4*x - 2*s + 2. Suppose 5*f = 15*f. Which is bigger: f or x? f Let l = -3 + 0. Let x = l - -3. Let i be ((x + 0)/(-1))/(-2). Is 1/3 bigger than i? True Suppose -h + 0*h + 4 = 0. Suppose 27 + 8 = 5*y. Which is greater: h or y? y Let i be (-210)/(-4)*(-20)/15. Let k be 4741/i - (-5)/(-25). Let w = -68 - k. Is -1 greater than w? False Let v(o) = o**3 + 16*o**2 - o - 22. Let i be v(-16). Let z be i/(-3) + (-3 - 0). Is 1 equal to z? False Let v(l) = -l - 10. Let p be v(-9). Let h = -11 + 8. Which is smaller: p or h? h Suppose -o = -5*f + 15 + 5, 2*o - 25 = -3*f. Suppose 2 = -4*c + 2*s - 4*s, 0 = -5*c + 4*s + 30. Let q = c - o. Is -5 != q? True Let j = 63 - 62.81. Are -0.2 and j nonequal? True Let h = 62.3 + -62. Which is greater: -0.8 or h? h Let i be 0 - 0 - 3*-9. Suppose 0*y + 2*y - 3 = -l, 0 = 5*y - 4*l - i. Suppose -5*h - 13 = -3*s, 3*s + y*h = 6*s - 3. Is -1 > s? True Let c(w) = -4*w**3 - w**2 + 2*w - 1. Let r be c(1). Is r at least -13/5? False Let k = 2 + -2.1. Let c = -9 - -9. Which is smaller: k or c? k Let x = 11 - 12. Are -12 and x non-equal? True Let g be (-38)/8 + (-3)/12. Let m be g/(-25) - (-714)/5. Let p = -1575/11 + m. Which is bigger: p or 0? 0 Let x be (-4)/(-16) + 99/(-12). Which is smaller: -3 or x? x Let j = 9 + -15. Let f be j/3*(-2)/(-4). Let c = 33/14 - 269/126. Which is smaller: c or f? f Let i be 3 + 1 + -2*1. Let w(q) = -2*q + 5*q**i + q - 3*q**2. Let m be w(1). Is m greater than 1? False Let o(y) = 3*y + 3. Let g be o(-2). Which is greater: g or 5? 5 Suppose -16 = -6*z + 4*z. Is 2/15 equal to z? False Suppose 7*z - 5*z - 2 = 0. Suppose 0*c + 5*c - 70 = 0. Suppose -n = g + z, -4 = -5*g - 4*n - c. Do -6 and g have the same value? True Suppose 63 = -3*w + j, 3*w + 4*j + 75 = j. Let i be 18/(-22) - (-4)/w. Which is greater: -2/7 or i? -2/7 Let y = -27.1 + 27. Which is greater: -0.04 or y? -0.04 Let l be 1*(-1 + -2 - -3). Suppose 0 = 5*b + 2*a - 13, 16 = -4*b - l*b + 5*a. Which is bigger: b or 3/7? b Let m be (-6)/16 + -2*1281/(-48). Is 54 at most as big as m? False Let u = 10 + -16. Let x = 12 + u. Let h be 2/(x/(-7)) - -2. Which is smaller: -1 or h? -1 Suppose -3*f + 18 = 3*f. Suppose 8*s = 5*s - f. Is -1/32 not equal to s? True Let j be ((-3)/(-2))/(3/(-4)). Let m = 1 + j. Let o be 4/(-10)*20/28. Is m less than or equal to o? True Let g(o) = 2*o**2 + o - 1. Let w be g(-1). Let s(y) = y + 2. Let m be s(-4). Which is smaller: w or m? m Let s be -1*(0 + 11) - -1. Let i be 6/(-24) + s/24. Is i bigger than 3/2? False Let s = -0.2 - 0. Let v = s - -2.2. Let k = 2 - v. Which is smaller: -1/4 or k? -1/4 Let f be 2/(-5 + (-56)/(-20)). Is f bigger than -1? True Let d = 9.11 - 9. Let g = d + -0.01. Which is smaller: g or -2/5? -2/5 Let m = 8 - 3. Let l = -2 + m. Is 2 greater than or equal to l? False Suppose -2*r + 170 = -0*r. Let p = r - 167/2. Is 2 at least as big as p? True Let h = 123.1 + -123. Let l = 17 - 25. Let s = l - -8.3. Which is bigger: s or h? s Suppose 5*n - 51 = 49. Let j = n + -19. Which is bigger: j or 3? 3 Let y be 1/(90/44 - 2). Let b be (-9)/(-3) - (0 + 2*-1). Suppose -p + b*z = p - y, -4*p + 3*z + 16 = 0. Is p smaller than 1/3? False Let x = -131/258 + 1/129. Are x and -22 equal? False Let h(j) = -j**2 - 10*j - 2. Let d be h(-10). Let k be (d/(-6))/((-14)/(-6)). Is k equal to 0? False Let o = -120 + 77. Which is smaller: -44 or o? -44 Let o be ((-12)/(-16)*2)/((-28)/(-8)). Let d = 0.3 + -0.4. Is o < d? False Suppose 2*w + 2 = 0, -2*w + 31 = m - 4*m. Let f = m + 11. Let o(v) = v**3 + 3*v**2 - 3*v + 4. Let x be o(-4). Is f <= x? True Suppose 9*i - 4*i - 15 = -5*q, 2*i + 5*q = 18. Let k be (((-12)/(-9))/(-4))/(-3). Is k at most i? False Suppose -u + 16 = -9*u. Which is bigger: u or 1? 1 Let v = 5 + -11. Let c be (8 - 5)*2/v. Let p be (c/6)/((-1)/2). Is p at least 1? False Let d = -1 - 1. Let m = 3 - d. Let w = m - 4. Which is bigger: w or 0? w Let f(p) = -p - 4. Let k be f(-2). Let r = -19 + 19. Is r at least k? True Let o = -18 - -25. Let h = 27 - o. Suppose 0*r - 5*r - h = 0. Which is smaller: r or -2? r Let j = -163/12 - -40/3. Let n = -6 - -7. Is n > j? True Let h be ((5 - 3) + -1)/1. Let x be (23 + h)*(-2)/4. Let v = -3 - x. Is v >= 10? False Let d = 2 + -3. Let j be (2 + -3)*(-5 - 1). Let p be (-2)/j - (-4)/6. Is p greater than or equal to d? True Let m = -0.3 + 0.2. Let f = 0.4 - m. Let x = -0.5 + f. Which is greater: x or -0.2? x Let k(x) be the third derivative of x**5/60 - x**4/24 + x**3/6 + 2*x**2. Let u be k(1). Are u and 2/29 unequal? True Let x = -1.29 - -2.59. Which is greater: -1/2 or x? x Suppose -3*d - 7 = 17. Let l = -19 - d. Let s(w) = w**2 + 10*w - 13. Let c be s(l). Is -2/3 != c? True Let x(a) = 2*a - 8. Let i be x(6). Suppose 0 = 3*j - 4*r + 36, -j - i*r + 3 - 15 = 0. Is j greater than or equal to -12? True Suppose -2 = 10*b - 11*b. Is b less than 2? False Suppose 2*n + 4*k - 12 - 14 = 0, -3*n = 2*k - 19. Let b(u) = -7*u - 3. Let h be b(-1). Is n greater than h? False Let p = -6 + 8. Suppose -p*l + 5 = -l. Is 5 greater than l? False Let o = -5183 + 57083/11. Let r = -4643542/55 + 84434. Let g = r - o. Is g bigger than 2/9? False Let b = 0.08 - -3.92. Let a = 8 - b. Let g = 4 - a. Do -0.7 and g have different values? True Let j(d) = -d**3 + 5*d**2 + d - 7. Let h be j(5). Is h less than 6? True Suppose 2*u + 0*f + 5*f - 80 = 0, 3*f - 102 = -3*u. Suppose 0 = 2*j + 2*d + u - 80, -5*d = j - 45. Suppose 0 = -w - 3*w + j. Is 5 at least w? True Let w = 19/42 + -2/7. Let m be (2/44)/((-2)/(-8)). Is w at least as big as m? False Let l(d) = 7*d + 20. Let h be l(-8). Is -35 >= h? True Let w be 0 + 4/(2 - -2). Is -2/33 less than w? True Suppose 8 = -j - 3*m, -m + 9 = -4*m. Do j and 1/17 have the same value? False Let k(y) be the second derivative of -y**5/20 + y**3/6 - y**2 - 3*y. Let a be k(0). Which is bigger: a or -8/3? a Let s(u) = -u**2 + 20*u + 22. Let z be s(21). Suppose -7 = -3*p - 1. Which is greater: p or z? p Let x(w) = 4*w**2 + w. Let q be x(-1). Suppose -q*n = n - 4. Is 1 less than or equal to n? True Suppose -3*m = -4*y + 9, -4*m - 20 = -5*y - 9*m. Let r = -1 + 4. Let b be r/(1 + -4)*-1. Which is smaller: y or b? b Let u be -1*5/15*(1 + 0). Let b = -16 - -8. Is b at most as big as u? True Let c be -1 + -1 + (0 - -4). Let i = -4 + c. Let y = 23 + -24. Which is greater: y or i? y Let i(g) = g**2 + 7*g + 5. Let o be i(-6). Let p be (-6)/(-6) + 3/(-2). Is o bigger than p? False Let w = -0.35 + -0.67. Let d = -1 - w. Let g = d - 0.42. Is 1 <= g? False Let l be 10/(-45) - (-303)/27. Which is greater: 12 or l? 12 Let l(i) = 5*i**2 + i. Let q be l(-1). Suppose q*o + 11 + 9 = 0. Let t be 14/o + 2/(-10). Are t and -1 equal? False Let l(x) = 437*x**3 - x**2. Let z be l(1). Let v be 5/((-550)/z) + 4. Is v greater than or equal to -1? True Let x = 0 - 1. Suppose 4 = 4*f - 4*i, -3*f - 5*i - 5 = f. Let t = 0 + f. Which is smaller: x or t? x Suppose -3*w + 2*d + 52 = -31, 0 = 5*w - 5*d - 135. Let l be w/50 - 2/4. Is 0 > l? False Let m = -7 - -13. Let a be m/39 - (-22)/26. Is -1 less than a? True Suppose b + 5*x = -11 - 6, -3*x - 12 = 0. Let k(l) = 6*l + 1. Let a(g) = 5*g + 1. Let p(y) = 7*a(y) - 6*k(y). Let d be p(-2). Is d < b? False Let l be (1*-1)/((-240)/81 - -3). Which is smaller: l or -25? l Let b be 3 + -3*1/(-3). Suppose -2*x = -j, 1 + b = x + 2*j. Let o = -230/21 - -86/7. Which is bigger: o or x? o Suppose 0 = g + 2*g + 18. Let b(v) = -v**2 - 5*v + 13. Let h(j) = -1. Let x(z) = -b(z) - 5*h(z). Let a be x(g). Do a and -2 have different values? False Let k = 60/259 + 2/37. Let h be (-1 + 3)*(-2)/4*0. Is h less than or equal to k? True Let n(k) = -k**2 - 4*k. Let u be n(-2). Suppose -2*v = -7*v + 25. Which is greater: u or v? v Let y(m) = -m + 10. Let d be y(9). Is d bigger than -2/13? True Let u = -2 + 6. Suppose 0 = u*m -
{ "pile_set_name": "DM Mathematics" }
90, -144, -198, -252, -306? -54*i + 18 What is the b'th term of -26, -5, 36, 103, 202, 339, 520, 751? b**3 + 4*b**2 + 2*b - 33 What is the k'th term of -93, -88, -79, -66, -49, -28? 2*k**2 - k - 94 What is the u'th term of 8, 13, 26, 53, 100? u**3 - 2*u**2 + 4*u + 5 What is the k'th term of -1089, -2173, -3255, -4335, -5413, -6489, -7563? k**2 - 1087*k - 3 What is the a'th term of -29, -57, -87, -119, -153, -189, -227? -a**2 - 25*a - 3 What is the m'th term of 5, 19, 49, 101, 181? m**3 + 2*m**2 + m + 1 What is the s'th term of 2, -12, -28, -46, -66? -s**2 - 11*s + 14 What is the l'th term of -103, -205, -307? -102*l - 1 What is the m'th term of 45, 40, 35, 30? -5*m + 50 What is the o'th term of 25, 151, 363, 661? 43*o**2 - 3*o - 15 What is the r'th term of 3632, 3629, 3624, 3617? -r**2 + 3633 What is the t'th term of -1268, -2541, -3814, -5087? -1273*t + 5 What is the h'th term of -23, -22, -21, -20, -19, -18? h - 24 What is the l'th term of 25, 82, 177, 310, 481? 19*l**2 + 6 What is the d'th term of -7574, -15147, -22720? -7573*d - 1 What is the p'th term of 224, 449, 676, 905, 1136? p**2 + 222*p + 1 What is the d'th term of 42, 65, 104, 159, 230, 317, 420? 8*d**2 - d + 35 What is the p'th term of -363, -730, -1099, -1470, -1843, -2218? -p**2 - 364*p + 2 What is the d'th term of 12, 16, 22, 30, 40, 52, 66? d**2 + d + 10 What is the v'th term of 64, 179, 368, 631, 968, 1379? 37*v**2 + 4*v + 23 What is the f'th term of -185, -793, -1807, -3227, -5053, -7285? -203*f**2 + f + 17 What is the l'th term of -294, -286, -278, -270, -262, -254? 8*l - 302 What is the m'th term of 33, 167, 413, 789, 1313, 2003, 2877? 3*m**3 + 38*m**2 - m - 7 What is the u'th term of 1525, 1522, 1509, 1480, 1429, 1350, 1237, 1084? -u**3 + u**2 + u + 1524 What is the q'th term of -10, -76, -188, -346, -550, -800, -1096? -23*q**2 + 3*q + 10 What is the v'th term of 63, 133, 207, 285? 2*v**2 + 64*v - 3 What is the q'th term of -79, -358, -821, -1468, -2299, -3314, -4513? -92*q**2 - 3*q + 16 What is the w'th term of -174, -337, -488, -621, -730? w**3 - 170*w - 5 What is the u'th term of -26, -39, -34, -5, 54, 149, 286? u**3 + 3*u**2 - 29*u - 1 What is the m'th term of 205, 207, 209, 211, 213, 215? 2*m + 203 What is the a'th term of -10, -33, -74, -139, -234, -365? -a**3 - 3*a**2 - 7*a + 1 What is the l'th term of 1024, 1015, 994, 955, 892, 799, 670? -l**3 - 2*l + 1027 What is the m'th term of 21, 49, 79, 111, 145, 181? m**2 + 25*m - 5 What is the k'th term of -152, -307, -462, -617? -155*k + 3 What is the c'th term of 16, 34, 62, 100, 148, 206? 5*c**2 + 3*c + 8 What is the z'th term of 22, 49, 76, 103, 130, 157? 27*z - 5 What is the m'th term of -1, -6, -21, -52, -105, -186, -301, -456? -m**3 + m**2 - m What is the p'th term of 331, 654, 977, 1300, 1623? 323*p + 8 What is the o'th term of -66, -132, -196, -258, -318, -376? o**2 - 69*o + 2 What is the a'th term of -12, -11, -8, -3, 4, 13, 24? a**2 - 2*a - 11 What is the c'th term of 4351, 8701, 13051, 17401? 4350*c + 1 What is the w'th term of 8, 12, 14, 14? -w**2 + 7*w + 2 What is the v'th term of 40, 172, 392, 700, 1096, 1580, 2152? 44*v**2 - 4 What is the w'th term of -19, -35, -51, -67, -83? -16*w - 3 What is the o'th term of 293, 582, 871, 1160, 1449, 1738? 289*o + 4 What is the m'th term of 20, 39, 68, 113, 180, 275? m**3 - m**2 + 15*m + 5 What is the m'th term of 6, 119, 424, 1017, 1994, 3451? 16*m**3 + m - 11 What is the q'th term of 18566, 18565, 18562, 18557? -q**2 + 2*q + 18565 What is the h'th term of 0, 21, 60, 117? 9*h**2 - 6*h - 3 What is the i'th term of -94, -279, -596, -1051, -1650? -i**3 - 60*i**2 + 2*i - 35 What is the h'th term of -182, -168, -154? 14*h - 196 What is the i'th term of -5445, -10891, -16337, -21783, -27229, -32675? -5446*i + 1 What is the n'th term of -73, -295, -677, -1225, -1945, -2843, -3925? -n**3 - 74*n**2 + 7*n - 5 What is the q'th term of -1, 13, 19, 11, -17, -71? -q**3 + 2*q**2 + 15*q - 17 What is the o'th term of -517, -534, -561, -598, -645, -702, -769? -5*o**2 - 2*o - 510 What is the z'th term of -13324, -13325, -13326, -13327, -13328, -13329? -z - 13323 What is the u'th term of 191, 385, 579, 773, 967, 1161? 194*u - 3 What is the p'th term of -10719, -10720, -10721, -10722? -p - 10718 What is the t'th term of 4, 13, 28, 49, 76, 109? 3*t**2 + 1 What is the o'th term of -12, -18, -28, -42? -2*o**2 - 10 What is the y'th term of -217, -224, -243, -280, -341? -y**3 - 216 What is the a'th term of -118, -235, -352, -469? -117*a - 1 What is the q'th term of -190, -380, -570? -190*q What is the v'th term of 35, 28, 15, -4, -29, -60, -97? -3*v**2 + 2*v + 36 What is the o'th term of -17, -31, -67, -137, -253, -427, -671, -997? -2*o**3 + o**2 - 3*o - 13 What is the u'th term of 12, 26, 40, 54, 68? 14*u - 2 What is the x'th term of -227, -455, -683, -911, -1139? -228*x + 1 What is the r'th term of 4, 20, 56, 118, 212, 344? r**3 + 4*r**2 - 3*r + 2 What is the r'th term of -15304, -30608, -45912, -61216? -15304*r What is the t'th term of -7970, -15939, -23908, -31877? -7969*t - 1 What is the k'th term of 73, 86, 83, 58, 5, -82, -209, -382? -k**3 - 2*k**2 + 26*k + 50 What is the j'th term of 160, 162, 164, 166? 2*j + 158 What is the a'th term of -8, -11, -22, -47, -92, -163? -a**3 + 2*a**2 - 2*a - 7 What is the h'th term of 46, 132, 250, 400, 582, 796? 16*h**2 + 38*h - 8 What is the o'th term of -8916, -8919, -8924, -8931, -8940, -8951, -8964? -o**2 - 8915 What is the a'th term of -6, -14, -36, -78, -146? -a**3 - a**2 + 2*a - 6 What is the z'th term of -265, -532, -799? -267*z + 2 What is the x'th term of 3, 54, 105, 156, 207, 258? 51*x - 48 What is the z'th term of -3159, -3154, -3151, -3150, -3151, -3154, -3159? -z**2 + 8*z - 3166 What is the v'th term of -18, -70, -220, -516, -1006, -1738, -2760, -4120? -8*v**3 - v**2 + 7*v - 16 What is the v'th term of -432, -437, -444, -453? -v**2 - 2*v - 429 What is the d'th term of 71, 172, 339, 572? 33*d**2 + 2*d + 36 What is the v'th term of 384, 388, 392? 4*v + 380 What is the m'th term of 77, 89, 113, 155, 221, 317? m**3 + 5*m + 71 What is the i'th term of -17807, -17808, -17809, -17810, -17811? -i - 17806 What is the n'th term of 851, 841, 823, 797, 763? -4*n**2 + 2*n + 853 What is the m'th term of 24, 110, 232, 372, 512, 634? -3*m**3 + 36*m**2 - m - 8 What is the o'th term of 127, 118, 95, 52, -17, -118? -o**3 - o**2 + o + 128 What is the k'th term of -32, -113, -240, -407, -608? k**3 - 29*k**2 - k - 3 What is the h'th term of 1030, 4161, 9372, 16657, 26010, 37425, 50896? -h**3 + 1046*h**2 - 15 What is the r'th term of -4, -17, -30? -13*r + 9 What is the h'th term of 1973, 1960, 1947, 1934? -13*h + 1986 What is the a'th term of -48, -12, 36, 102, 192, 312? a**3 + 29*a - 78 What is the y'th term of 214, 220, 226, 232, 238? 6*y + 208 What is the g'th term of -47, -36, -19, 4, 33, 68? 3*g**2 + 2*g - 52 What is the v'th term of 2, 78, 308, 770, 1542, 2702, 4328, 6498? 13*v**3 - v**2 - 12*v + 2 What is the r'th term of 20, 73, 164, 293, 460? 19*r**2 - 4*r + 5 What is the l'th term of 1431, 2856, 4279, 5700, 7119, 8536? -l**2 + 1428*l + 4 What is the m'th term of -12, -30, -48, -66? -18*m + 6 What is the w'th term of 37, 67, 145, 295, 541, 907, 1417, 2095? 4*w**3 + 2*w + 31 What is the h'th term of 30, 29, 28, 27, 26? -h + 31 What is the z'th term of 22, 42, 62, 76, 78, 62? -z**3 + 6*z**2 + 9*z + 8 What is the u'th term of 17, 28, 65, 140, 265, 452? 2*u**3 + u**2 - 6*u + 20 What is the y'th term of -1113, -1118, -1135, -1170, -1229, -1318? -y**3 + 2*y - 1114 What is the a'th term of -217, -212, -203, -190, -173, -152, -127? 2*a**2 - a - 218 What is the y'th term of 1255, 2525, 3809, 5113, 6443, 7805, 9205? y**3 + y**2 + 1260*y - 7 What is the f'th term of -39, -47, -61, -81, -107, -139, -177? -3*f**2 + f - 37 What is the l'th term of 13, 223, 783, 1867, 3649, 6303, 10003, 14923? 29*l**3 + l**2 + 4*l - 21 What is the v'th term of 166, 232, 284, 316, 322, 296, 232, 124? -v**3 - v**2 + 76*v + 92 What is the u'th term of -1557, -3113, -4679, -6261, -7865? -u**3 + u**2 - 1552*u - 5 What is the d'th term of 65, 100, 133, 164, 193, 220, 245? -d**2 + 38*d + 28 What is the k'th term of 5119, 5118, 5117? -k + 5120 What is the x'th term of -630, -5087, -17186,
{ "pile_set_name": "DM Mathematics" }
xt in -845492, -1690975, -2536458, -3381941, -4227424, -5072907? -5918390 What is the next term in 1084, 2382, 3660, 4918, 6156, 7374, 8572? 9750 What is the next term in -13307, -26945, -40583, -54221, -67859, -81497? -95135 What is the next term in 372, -1125, -5248, -13311, -26628? -46513 What comes next: -76855, -77283, -77711, -78139, -78567? -78995 What is the next term in -5440, -10881, -16322, -21757, -27180? -32585 What is next in -1700, -3546, -5552, -7718, -10044, -12530? -15176 What is the next term in 9423, 18885, 28379, 37917, 47511? 57173 What comes next: -81200, -82876, -84552, -86228? -87904 What is the next term in -53565, -53644, -53717, -53784, -53845, -53900? -53949 What is next in -3389, -6889, -10385, -13877, -17365, -20849? -24329 What is the next term in -27202023, -54404073, -81606123, -108808173, -136010223, -163212273? -190414323 What is next in -832961202, -1665922405, -2498883608, -3331844811? -4164806014 What comes next: 4149654, 4149633, 4149592, 4149525, 4149426, 4149289? 4149108 What comes next: -5748, -9168, -14872, -22860, -33132, -45688, -60528? -77652 What is next in 19201, 76061, 170833, 303517, 474113, 682621, 929041? 1213373 What comes next: 117, 497, 933, 1425? 1973 What comes next: -22080, -22065, -22048, -22035, -22032, -22045, -22080, -22143? -22240 What comes next: -1024, -4794, -11308, -20566, -32568? -47314 What is the next term in -55351, -110748, -166195, -221692, -277239? -332836 What is the next term in -23016, -92275, -207706, -369309, -577084, -831031? -1131150 What is next in -29091, -29053, -29027, -29019, -29035, -29081, -29163? -29287 What comes next: -1206, -8983, -30068, -71115, -138778, -239711? -380568 What comes next: -126136294, -126136295, -126136296, -126136297, -126136298? -126136299 What comes next: 31549, 63242, 94925, 126598, 158261, 189914? 221557 What comes next: 4202, 8497, 12790, 17081, 21370, 25657, 29942? 34225 What is next in -1821, -6940, -15345, -27036, -42013, -60276? -81825 What is next in -2089, -2144, -2203, -2266, -2333? -2404 What is next in 210580, 421170, 631746, 842302, 1052832, 1263330? 1473790 What is next in -7536773, -7536767, -7536761, -7536755, -7536749? -7536743 What is next in -4642560, -4642551, -4642542, -4642533? -4642524 What is the next term in -111238, -219881, -328524, -437167, -545810? -654453 What is the next term in -2667224, -5334443, -8001662? -10668881 What is the next term in -1180628, -1180620, -1180612, -1180604, -1180596, -1180588? -1180580 What comes next: 1899832, 1899829, 1899826, 1899823, 1899820? 1899817 What comes next: -4543, -2760, -981, 794? 2565 What comes next: 4124929, 8249850, 12374771, 16499692, 20624613, 24749534? 28874455 What is next in -608647, -2434541, -5477707, -9738145, -15215855, -21910837? -29823091 What comes next: 18631, 37083, 55365, 73483, 91443? 109251 What comes next: 268, 286, 268, 214? 124 What is the next term in -7473, -14301, -21129, -27957? -34785 What comes next: -550958, -1102201, -1653444, -2204687, -2755930, -3307173? -3858416 What is the next term in -393627, -787767, -1181905, -1576041? -1970175 What is next in -17077, -12450, -7823, -3196, 1431, 6058? 10685 What is next in -86119, -82606, -79093? -75580 What is the next term in -606, -1167, -1770, -2415, -3102, -3831, -4602? -5415 What comes next: -14351, -17482, -20613? -23744 What is the next term in 102, 209, 384, 627, 938, 1317, 1764? 2279 What is next in 2343, 2030, 1717, 1404, 1091, 778? 465 What is next in -13557, -11870, -10183, -8496, -6809? -5122 What is next in 2793, 1915, 467, -1551, -4139, -7297? -11025 What is the next term in -4086, -4265, -4586, -5067, -5726, -6581? -7650 What comes next: -7241, -9181, -12375, -16823, -22525, -29481, -37691? -47155 What comes next: 13285, 13298, 13295, 13270, 13217? 13130 What is next in 2081814, 4163618, 6245422, 8327226, 10409030? 12490834 What comes next: 764387, 1528773, 2293155, 3057533, 3821907, 4586277? 5350643 What comes next: 162474, 324968, 487478, 650004, 812546? 975104 What comes next: 472793672, 472793674, 472793676, 472793678, 472793680? 472793682 What is next in -14123, -19187, -24251? -29315 What comes next: 850, 1634, 2402, 3154, 3890? 4610 What is next in -649447, -5195604, -17535183, -41564896, -81181455, -140281572, -222761959? -332519328 What comes next: 7338, 14629, 21940, 29277, 36646, 44053, 51504? 59005 What comes next: 241611, 486468, 731325, 976182, 1221039? 1465896 What is the next term in 29637, 58551, 87465? 116379 What is the next term in -2085, -3721, -5335, -6939, -8545, -10165? -11811 What is next in 196522, 785877, 1768136, 3143299? 4911366 What comes next: -6989636999, -6989637000, -6989637001, -6989637002, -6989637003, -6989637004? -6989637005 What is next in 72334, 144579, 216704, 288649, 360354, 431759, 502804, 573429? 643574 What is the next term in -8785, -17821, -26885, -35983, -45121, -54305, -63541, -72835? -82193 What is next in 413, 595, 1041, 1865, 3181, 5103, 7745? 11221 What is next in 32007433, 32007431, 32007429? 32007427 What comes next: 142, -380, -902, -1424, -1946, -2468? -2990 What is next in -9076, -10053, -11030, -12007, -12984, -13961? -14938 What is next in -2332369, -2332367, -2332365, -2332363, -2332361? -2332359 What is next in 934068, 934009, 933950? 933891 What is next in 114532, 229331, 344132, 458935? 573740 What comes next: 1738, 2447, 3146, 3835, 4514, 5183? 5842 What is next in -87, 345, 771, 1203, 1653, 2133, 2655? 3231 What comes next: 6475, 27969, 64485, 116023, 182583, 264165? 360769 What is next in -1504, -1885, -2528, -3439, -4624? -6089 What is next in 3201602, 6403202, 9604800, 12806396, 16007990, 19209582, 22411172? 25612760 What is next in -3397658, -3397656, -3397654, -3397652? -3397650 What is the next term in -5676, -5881, -6200, -6693, -7420? -8441 What is next in 62613571, 62613568, 62613565? 62613562 What comes next: -122678, -121847, -121016? -120185 What comes next: 8213, 13379, 15495, 14561, 10577? 3543 What comes next: 779780, 1559480, 2339124, 3118712, 3898244, 4677720, 5457140? 6236504 What is next in 6554, 13334, 20114? 26894 What comes next: 29646, 27657, 25668, 23679, 21690? 19701 What is next in 1431, 1282, 879, 96, -1193, -3114? -5793 What is next in -2976, -5930, -8854, -11754, -14636, -17506, -20370? -23234 What is the next term in 3432, 21898, 72018, 169620, 330532, 570582, 905598, 1351408? 1923840 What is the next term in -2887122, -2887119, -2887108, -2887083, -2887038, -2886967? -2886864 What is the next term in 96596441, 96596442, 96596443, 96596444, 96596445? 96596446 What is next in 4490, 19655, 60822, 140993, 273170, 470355, 745550, 1111757? 1581978 What is the next term in 58906, 158642, 324864, 557566, 856742? 1222386 What is next in -5890, -24260, -56062, -102262, -163826, -241720, -336910? -450362 What is the next term in 39043, 39775, 40507, 41239, 41971? 42703 What is the next term in 827757249, 827757250, 827757251, 827757252, 827757253, 827757254? 827757255 What comes next: 94569, 94559, 94549, 94539, 94529? 94519 What comes next: -8204, -36211, -82888, -148235, -232252? -334939 What is the next term in 25921, 52069, 78527, 105451, 132997? 161321 What is next in 5665, 8166, 10679, 13210, 15765? 18350 What is next in 1516255, 3032683, 4549111, 6065539? 7581967 What is next in -632, -652, -726, -884, -1156, -1572, -2162, -2956? -3984 What is next in 366850, 733736, 1100622? 1467508 What is next in 40464, 34410, 28358, 22308, 16260? 10214 What comes next: 278, 373, 468, 563, 658? 753 What comes next: 1566, 9989, 18412? 26835 What is the next term in 21490, 42159, 62828, 83497? 104166 What comes next: 24183, 45859, 67549, 89259, 110995, 132763, 154569? 176419 What is the next term in 22445, 44827, 67185, 89519? 111829 What is next in -11457, -20015, -28573, -37131, -45689, -54247? -62805 What comes next: -78263, -78300, -78347, -78404, -78471, -78548, -78635? -78732 What is next in -239436, -239453, -239470, -239487, -239504, -239521? -239538 What comes next: -5349, -14706, -24079, -33474, -42897, -52354? -61851 What comes next: 23193, 46328, 69465, 92604, 115745, 138888? 162033 What is the next term in -64947, -65043, -65203, -65427? -65715 What comes next: -47615, -47536, -47
{ "pile_set_name": "DM Mathematics" }
= -0*z - 18, 4*z = -q*k for z. -2 Let v be 192/36*9/12. Solve 4*f - f + 5 = -5*k, -v = 4*k + 3*f for k. -1 Let o = 39 - 46. Let m(u) = u + 16. Let g be m(o). Solve g = -3*v, -2*q + 5*q + v = -12 for q. -3 Let o = -30 - -34. Suppose 6 = o*p + 2. Solve w - 1 = 0, n + 0 = -2*w - p for n. -3 Let h = 23 - 30. Let j be (3 + h)/(-2) + 1. Let b be (2/j)/((-6)/(-45)). Solve -6 = -2*f - 3*z - 0, -b*f + 4 = 2*z for f. 0 Let t be (17/(-3))/(1/(-3) - 0). Solve -5*p = j - t + 1, 2*p - 2*j - 4 = 0 for p. 3 Let z(u) = 4*u**2 - 22*u + 8. Let c be z(6). Let p = c + -17. Solve -3*o + 5 = -2*d, -3*o - d + p = o for o. 1 Let r = 14 + -12. Suppose -o + 6 = r. Solve -3*n = l - 4, -o*n - 4*l = 10 - 2 for n. 3 Suppose -o = 1, 0 = 3*a - o + 24 - 70. Let k be 4 + -2*(-6)/4. Suppose k*l - a = 4*l. Solve -s + 2*z - 3 = 0, 3*z - l = 4*s + 7 for s. -3 Suppose -3*c + 5*c + 2*k - 14 = 0, c + 2*k - 9 = 0. Solve 5*j + 35 = c*o, -3*o + j + 25 = -4*j for o. 5 Suppose 23 = 3*p + 5*d - d, 4*p + 4*d - 28 = 0. Solve -b = -3*i + i, -4*b + p*i = 6 for b. -4 Let r be ((-96)/(-20))/4*(-10)/(-3). Let o be ((-12)/(-1 + 5))/1. Let h be -1 - o - 1*-2. Solve 0 = 5*f - h*c - 6, 0 = -r*f - c + 4 + 5 for f. 2 Suppose -95*q = -3*j - 92*q + 99, 3*j - 104 = 4*q. Solve -8 = 5*i - 3*i - 4*z, 5*i = -2*z + j for i. 4 Suppose -102 = -4*j - 38. Let g = j - 11. Let r be 1/g + (-102)/(-15). Solve 4*l = -3*f - f + 32, 0 = -l + 2*f - r for l. 3 Let i = 1 - -12. Let a(j) = -j**2 + 4*j + 8. Let q be a(5). Solve q*c + 12 = -b + 3*b, 2*c + i = 3*b for c. -2 Let r = 398 - 382. Solve y = -2*o - 13, o + 3*o + r = 0 for y. -5 Suppose 3*h - 5*p - 17 = 0, 5*h - 5*p = -p + 24. Suppose -10 = -s - h*s. Suppose 2*f + s*f = 8. Solve -5*n - 3*a - 4 = -3*n, -a - 4 = f*n for n. -2 Let n be -68*3/(-6)*1. Solve n = 5*u - 5*k - 6, -4*u + k = -17 for u. 3 Let f(y) = -y**2 - 14*y - 27. Let j be f(-9). Solve -4*a + 9 = o, -8*a = -o - 3*a - j for o. -3 Let d(n) = -n**3 - 2*n**2 - 2*n + 1. Let g be d(2). Let k = g - -19. Suppose -5*x + 1 + 19 = k. Solve 2*t + 0*s + 3*s = 23, -x*t + s + 11 = 0 for t. 4 Suppose 2*l - 7*l + 100 = 0. Solve l = -6*m + m, d - 2*m = 11 for d. 3 Suppose 5*j + o = 16, 5*j - 5*o - 7 - 33 = 0. Let x = 11 + -2. Solve x = 3*n, j*g - n + 9 = 2*n for g. 0 Let z(w) = -w**2 + 4*w + 7. Let d be z(5). Let s(a) = -1 - 156529*a - 1 + 156531*a. Let q be s(d). Solve -4*n = -12, -n = -5*c + q*n - 29 for c. -4 Suppose 5*q = 5*r + 175, 0 = -4*q + q + 2*r + 110. Suppose -2*o + 17 = j, 5*j = -o - 0*o + q. Solve d + 4*l - j = 0, d + l + 1 = -2*d for d. -1 Suppose 5*k - 22 = -3*t, t + 12 = -4*k + 6*t. Solve 4*i + 2*a + a + 11 = 0, 5*i = k*a - 31 for i. -5 Suppose 2*h - 16 = -2*h. Solve -4*l + 5*l + 5 = -5*o, -2*l = -h*o - 4 for l. 0 Let n be 2 + (-4 - (3 + -13)). Suppose 3*i = n - 2. Solve i*y - 10 = g + 7*y, 3*g + 14 = y for g. -5 Let j be 141/45 + (-4)/30. Let n be 0 - (-9 + 3) - j. Solve -h = -5*b - 4, n*b + h + 2 = 6 for b. 0 Suppose 2*g - 16 = -62. Let x = -20 - g. Solve -p - 4*l = -3, 5*p - x*l + 29 = -l for p. -5 Let u be (-66)/231 - (-4)/14. Let v be ((-1)/2 + 21/14)*u. Solve 9 = 2*r + 4*x - 9, v = r + x - 6 for r. 3 Suppose 3*n - 121 = -3*i - 1, 3*i = -2*n + 84. Let q = 41 - n. Solve -3*t - 2*t - q*f + 30 = 0, 5*f - 6 = t for t. 4 Suppose 45*a - 43*a = 4*c - 24, -a + 12 = 4*c. Solve -8 = c*x + 4*z, 5*x - 2*z - z = 22 for x. 2 Let a be (1/(-3))/((-1)/219). Suppose b + b = 5*r + a, b = -r + 19. Solve n + 0*n + 10 = -3*i, 2*i + 5*n = -b for i. -2 Let w = -40 + 22. Let g = 22 + w. Solve 0*l - 4*l - j - 3 = 0, -g*j + 26 = -3*l for l. -2 Let a be (-3)/(-3 + 0/3). Let b be (-1 + a)*(-4)/(-12). Suppose 0 = -5*m - b*m. Solve -2*d - 3*v + v - 4 = m, 10 = -5*v for d. 0 Let t = 38 - 32. Let j(n) = -n**3 + 5*n**2 + 5*n + 6. Let k be j(t). Solve k = 3*h + 3*q - 6, -14 = 3*h - q for h. -3 Let n(m) = -35*m + 253. Let u be n(7). Solve -4*x - 2*l = 8, -2*x + u = -0*x - 5*l for x. -1 Suppose -3*l + 1 = -4*i - 2, l = -3*i + 14. Solve -i*n - 3*v + 3 = 6, -4*v = 5*n + 2 for n. 2 Let m = -360 - -365. Solve 0 = m*l - 10, 5*o + 0*l + 11 = 3*l for o. -1 Let i(g) = -2*g**3 - g - 1. Let a be i(-1). Let p(j) = j**2 + 13*j - 38. Let z be p(-16). Let m = -5 + 10. Solve 2*k - a*t + t + 4 = 0, m*k - t = -z for k. -2 Let i be (-9)/(-2) - 13/(-26). Suppose -3*c + 32 = q + 3*q, -i*q - 2*c = -33. Let u = -2 + 7. Solve -5*r - u = -3*x, q*x - 33 + 12 = 2*r for x. 5 Let u = -250 - -254. Solve u*p + 3*t = 0, -4*t = -3*p - 15 + 40 for p. 3 Let y be 1*4*(-2)/(-8). Let j = 27 - 32. Let v = j - -9. Solve -16 = -2*g + 4*k, -y = v*g - 4*k - 21 for g. 2 Let i = -109 - -135. Solve -40 = 4*u - 5*k, -2*u + 8*k - i = 4*k for u. -5 Let v be ((-14)/5 - -2)*-5. Suppose 0 = 2*i - 10*i. Solve 3*f + 30 = -2*f - 5*t, 4*f - v*t = i for f. -3 Let p(u) = u**3 - u + 5. Let l be p(0). Suppose 14 = l*t - 6. Solve 4*b - 4 = t*o, 5*b - o + 1 = o for b. -1 Let s be (4/(-4) - -22)*1. Let a = 26 - s. Solve b = -3*x + 12, -a*x + 2*x - 3 = -4*b for x. 3 Let g(x) = 2*x**3 - 67*x + 10*x**3 + 2*x**2 + 65*x. Let m be g(1). Solve 30 = -5*p + 5*f, 0 = 3*p - f + 4*f - m for p. -1 Let p = 142 + -58. Let d be 18/99 + p/22. Suppose -6 = -2*f - d*k, 15 = -f + 6*f + 4*k. Solve o + 4*y + 6 = -y, -6 = -3*o - f*y for o. 4 Suppose 2*i = -3*r - i + 15, 0 = -r + 5*i - 7. Solve -3*q - r*l - 5 = -l, 4*l + 3 = q for q. -1 Let d(s) = -2*s**2 + 39*s + 161. Let b be d(23). Solve -3*m - 1 = -2*a, a + b*m + 2*m - 4 = 0 for a. 2 Let b(l) = l**2 + 2*l + 4. Suppose -s - 3 = -5*r + 5, 2*s + 8 = 2*r. Let g be b(s). Suppose 4*j = g*j. Solve 0*h - 5*i = 3*h + 5, j = -5*h - 5*i - 15 for h. -5 Let u(i) = 140*i + 853. Let f be u(-6). Suppose 5*x - 14 = -n + 4*n, -5*x = 5*n - 30. Solve 5*d + 8 = -12, 5*l = n*d + f for l. 1 Let m = -450 - -454. Solve -m*j + 3*f + f = 20, j = 3*f - 5 for j. -5 Let z = 7891 + -7886. Let p be 2/8 - (-11)/4. Suppose -2*s + 8 = x, p*x - s + 1 - 4 = 0. Solve -4*d = 3*k + z, 0*d - d = x*k for k. 1 Let g(s) = -93*s + 393. Let h be g(4). Solve 2*t + y = -5 - 2, -h = 5*t - y for t. -4 Let s(q) = q**3 + 10*q**2 + 21*q + 17. Let i be s(-7). Solve 5*a - 2*b = -i, 1 = -a - b - 1 for a. -3 Let c be 0/1*(-3)/6. Suppose y + 2*y + 3 = 0, 4*y = 3*k - 19. Solve -k*v + 2 + c = -p, v - 7 = -2*p for v. 1 Let s(t) = -4*t**3 + t**2 - 4*t - 5. Let o be s(-1). Solve 6 = -n + o*n, n - 14 = 3*x for x. -4 Suppose 27*z - 416 = -5*z. Solve 0 = -3*n - 3*m + 5 + z, 2 = 2*m for n. 5 Suppose 2*m = 4*m - q - 70, 5*m + 2*q = 175. Suppose 33 = 3*h - 4*w, m = 2*h - w + 8. Solve -4*l + 2*v + 20 = 0, 0 = -3*l - v - 0*v + h for l. 5 Let o be (-38)/(-12) - ((-159)/18 - -9). Solve 4*g = -5*p, -3*p + o*g = p for p. 0 Let p(r) = 3*r - 62. Let m be p(21). Let k be (0 - m)*(1 + (-11 - -4)). Solve -4*v + k = -0*o + 2*o, -4*v = 4*o for o. -3 Suppose -4*c = c - 10, 0 = -3*s + 2*c + 20. Let b be (-2)/(-8)*2*(s - 4). Solve 3*d - b*o = -18, -d + 2*d = -2*o + 2 for d. -4 Suppose 1500 = 16*g + 1452. Suppose 0*y + 4 = 2*y. Solve n + 4*w + 16 = -2*n, y*n = -g*w - 12 for n. 0 Suppose 0 = -2*u - 6 + 10. Let l be u + 5/(15/9). Let q(t) = -t**3 + 13*t**2 - 10*t - 17. Let d be q(12). Solve h + k = -0*k + d, 0 = l*h + 3*k - 27 for h. 3 Let h = -7 - -11. Suppose 31*m + 20*m = 102. Let f be (-3 - 0)*(-7)/1. Solve -f = j - 0*i - 5*i, -m*i = h*j - 4 for j. -1 Let g = -928 + 932. Solve 3*n = -3*q, g*n - 2*q - 3*q = 0 for n. 0 Suppose 126 + 282 = 4*o. Suppose -7*g = -g - o. Let q = -6 - -11. Solve -2*i = -q*w + 1 - g, -3*w - 10 = -i for i. -2 Let z be 1*(18 + 1 + 1). Solve 2*g = -5*p + 27, 15 - z = -p for g. 1 Let v = -104 - -136. Let f(g) = -4*g**2 + 2*g + 3*g**2 + 5 + 3*g. Let p be f(5). Solve -16 = -q - 3*q, -v = -p*s - 3*q for s. 4 Suppose 9 + 41 = 5*h. Suppose 4*l - 4 = l - p, 0 = -2*l + 3*p + h. Solve -2*c - s - s = -12, -l*s = -3*c + 13 for c. 5 Suppose 4*h = -m - 4, -5*m + 2*h = -14 - 10. Let y = 95 + -89. Solve 0 = q + q - m*r + y, 3*q - 4*r = -3 for q. 3 Let f(s) = -s**2 + 6*s + 7. Let b be f(7). Suppose -4*l = -8, 5*j - 3*j + 2*l - 16 = 0. Let x = 4 + j. Solve 5*a = k - x - 16, -5*k - a = b for k. 1 Let h(n) = -n**3 + 6*n**2 - 11*n + 15. Let o be h(4). Solve 5*u + 2 = o*u + 4*m, -4*u - 5*m = 4 for u. -1 Let i be ((-12)/9)/(4/(-6)). Let b be 0*((-5)/(-30) + (-3)/(-9)). Solve 3*v = -4*j + 14, -2*j + b*j = -i*v for j. 2 Let q(a) = a**3 - 35*a**2 + 94*a
{ "pile_set_name": "DM Mathematics" }
+ (-1416273)/(-227460)). 2/85 -4 + 46/4 - 11/22 7 Calculate ((-36)/(-10))/(21/(-70)*1). -12 Calculate 174/208 - (-13 - ((-332)/32 + -3)). 6/13 What is the value of 3/(2171/130 + -14)? 10/9 What is the value of (((-39)/(-18))/(-13)*-2)/((-2)/24)? -4 48/(-43 + (52 - 5)) 12 Calculate 27/(405/12) + 2/10. 1 Evaluate (-2 - 26/(-12))*20*63/35. 6 Evaluate (-56)/(-12)*((-4)/(-7))/2. 4/3 Evaluate ((-32)/20)/(70/(-175)) + 8. 12 What is the value of (4/34 - 66/714)*-7? -3/17 (-44)/2 + (-605)/(-55) -11 Evaluate (2025/(-540))/(42/8). -5/7 What is the value of (3 - 2) + (-71)/213? 2/3 (-14)/36*(918/63 - 14) -2/9 What is 1 + -2 + 21 + -8? 12 Calculate (-2)/(-9) + (-2176)/14976. 1/13 Calculate (-3 - 1)*(6/54 + (-127)/1062). 2/59 Evaluate 95 - 74 - (-256)/(-12). -1/3 Calculate 30/20 - ((-49)/(-21) - 1). 1/6 What is the value of 2 + 3 + 14/(-12)*31/7? -1/6 What is the value of (1 - (-22)/(-4))/((-690)/(-1380))? -9 What is 6/(5 + 256/(-40) + 1)? -15 Calculate (-2 - -13 - 9)/(-8). -1/4 Calculate (30/(-11))/((-16 - -46)/15) - -1. -4/11 What is the value of ((-330)/(-75)*10/4)/(-5 - -6)? 11 (1*-5)/((-1 - -7) + (-4806)/756) 14 6/12*26 - 18 -5 Calculate ((-532)/42)/((-6)/9)*(-14 - -13). -19 What is (-392)/(-147)*9/4 - 0? 6 Calculate (-2 + 0)/(-31 - -39). -1/4 Evaluate (1339/(-65) - -10)/1 - -11. 2/5 What is the value of 20/16*(8/(-50))/(92/230)? -1/2 What is ((-286)/182 + 2)*(-3 - 24/(-9))? -1/7 Evaluate (28/4 - 4)*5. 15 Evaluate -1*(((-8)/2 - -24) + (0 - 7)). -13 Calculate (-7)/(-20)*-4*(75/21 + -4). 3/5 Evaluate (-196)/294 - (-4 + 39/9). -1 Calculate -26 - (-2 - -2) - 57/((-1482)/52). -24 What is (180/63)/((8/7)/4)? 10 What is the value of 6/(-4) - (1545/(-162) - (-400)/50)? 1/27 What is the value of 2/(-10)*(172 + -222)? 10 (((-261)/45 - -7) + 2)*(2 - -3) 16 Evaluate (57 + -49)*(-18)/16. -9 Evaluate 1140/(-912) + (2/8 - -3) + 3. 5 Calculate 30/20 + (2 - 150/12). -9 What is the value of 3/(-10)*(-1110)/(-888)? -3/8 (2 - 13)*(4368/(-396) - -11) 1/3 What is the value of (-50)/(-40) + 116/(-80)? -1/5 What is ((-24)/16 + 1)/(10/(-32))? 8/5 What is the value of 56/96*(4 + -2)/(12/(-18))? -7/4 Calculate (-2)/42 + (-51)/((-4284)/(-24)). -1/3 Calculate (100/(-360))/((-3)/((-630)/50)). -7/6 Evaluate 186/((-51)/(-17)) - 42. 20 What is 6/(-56) - (8 - (-434)/(-49))? 3/4 Evaluate 41/13 + (-30)/156*100/125. 3 104/10 - -1 - (28/35)/2 11 (282/3 - 93)/(11/2) 2/11 What is the value of ((4/6)/2)/(1152/13824)? 4 (-90)/8*2/6*(3196 + -3204) 30 What is (1180909/(-1015))/43 - 10/(-175)? -27 Calculate 330/(-44) - 2009/(-82). 17 Calculate (-2)/(-9)*-3 + 29/12. 7/4 What is the value of (44/(-121))/(4/(-22))? 2 728/260 - (-11)/(-5) 3/5 Calculate (218 + -221)*13/3. -13 What is the value of -6 - (-1 + -7) - 7*2/2? -5 What is the value of 24/4 - (18/(-3) - -10)? 2 What is the value of -14 - (21 - (35 - 13))? -13 Calculate (-1617)/22638*(-70)/(-4). -5/4 What is the value of -3 + (3 - (-4)/26) + 8330/(-910)? -9 Calculate 15/(-1) + 37 + -36. -14 What is (20 - -1) + 12/32*24*-1? 12 Evaluate 4/(204/(-17))*(-2)/(-5). -2/15 -4*(-45)/36 - (-3456)/(-704) 1/11 (-8*(-22)/(-88))/((-4)/(-12)) -6 What is the value of 7 - (0 + (-1 - 0) + -3 + 7)? 4 What is the value of ((-5)/12)/(2/(8/(112/42)))? -5/8 What is the value of (-19 - (-138)/9) + 2/6? -10/3 What is the value of 2/6 - 4060/(-348)? 12 ((-94)/3525)/(4/462) + 1*3 -2/25 Evaluate 31/2 + ((-33)/(-22) - -3). 20 Calculate (1 + -4)/(165/1595). -29 What is the value of -4*(5 - 22/(330/135))? 16 Evaluate (-276)/736*((-16)/(-6))/(-2). 1/2 Calculate -9 - (-27 + 30)/(1/(-2)*3). -7 What is the value of (-4 + (-146)/(-36))*(32 - 34)? -1/9 -1104 - -1100 - (1*(-143)/28 + 1) 3/28 (-180)/240*(4/(-10))/(3/(-16)) -8/5 Evaluate 4 + (16 + 104)/(-10). -8 (-16)/272*(-1 - -3) -2/17 Calculate (3 - 19)/4 - (-213 + 206). 3 Calculate (-40)/(-90) + (-87)/378. 3/14 6/(-18)*(-4320)/880 18/11 128/40*(-1575)/(-280) 18 What is -1 + 20 + -9 + (-276)/27? -2/9 Evaluate ((-1)/(-21)*(-279)/(-62))/(12/(-14)). -1/4 Evaluate (8*(-121)/(-176))/((-14)/(-28)). 11 2 + 6 + (-741)/95 1/5 Calculate (-354)/42 + (-112)/35*10/(-4). -3/7 Calculate 2 + (282/564)/((1 - 3)/28). -5 What is the value of (240/(-84) - -8)/(-4*9/(-168))? 24 What is (1/(-3) + 3)*1221/(-18722)? -4/23 Calculate (-530)/2120*(-8)/(-9). -2/9 What is 1/(82/(-10) - (7 - (-4 + 19)))? -5 What is (-52)/494 - (-3208)/152? 21 What is the value of 15/(-280)*(-21)/9? 1/8 Calculate (-8)/18 + (141128/207)/(-59) + -14. -26 (1/3)/((15/108)/(81/(-648))) -3/10 Calculate (120/350)/((-42)/(-196)). 8/5 Evaluate (-3 - 28/(-16)) + -21 + (-742)/(-56). -9 Calculate (32/96)/(7/63). 3 -5*((-231)/(-56) + -4 - 3780/800) 23 -18 - -24 - (-1)/(-2)*(-9 + 9) 6 Evaluate ((-400)/120)/((-10)/12). 4 (106/10 + (29 - 38))/((-110)/(-75)) 12/11 Calculate (-3)/(-2)*2145/495. 13/2 What is -1 + (-47)/9 + 356/(-18) + 20? -6 Evaluate (1200/540)/((-88)/33). -5/6 (-2 - -1) + ((-2)/(-16))/((-833)/6664) -2 What is 5*3 + (-5 - 1240/120)? -1/3 What is the value of 2/6 + (12 + -9 - (-10)/(-3))? 0 (0 - (-8 - 91))*77/(-231) -33 (((-35)/(-20))/7)/((-9)/84) -7/3 Calculate (28/84)/(8 - 1437/180). 20 What is 30 - (-561)/(-17) - (-96)/(-40)? -27/5 (-4)/54 + 6466/(-2862) -7/3 255/6*((-374)/(-85) - 4) 17 14*21/(-735)*-45 18 Evaluate -11*8*((-343)/(-56) - 6). -11 What is the value of 6*(-7)/(-84) + 54/(-12)? -4 What is 2/2*-6*13/6? -13 Calculate (-13 - (-4149)/315)*-5. -6/7 What is 53/(-5) + 1 - (-4)/(-10)? -10 What is the value of -13*1/2*6/9*3? -13 Calculate (-64)/(-22) + 2*(-27)/18. -1/11 What is 9/(-2)*((-12)/(-18) + 0)? -3 What is (12/(-10) - -1)*(-7 + 96/13)? -1/13 230/(-1150)*20/(-34) 2/17 Calculate (24/45)/((-56)/(-420)). 4 Evaluate ((-24)/80 - 1/(-2))*2/(-1). -2/5 What is the value of ((-9683)/1932 + 5)*-4? 1/21 1074/1386 + (-4)/3 + 6/21 -3/11 Calculate 0 - ((-45)/30 - (-1 - -1 - -1)). 5/2 -1 + 3/((-8 + 9)/(-2)) -7 Calculate 3/((207/(-27) - -8)/((-1)/12)). -3/4 Evaluate ((-30)/(-8))/(3*(-5)/40). -10 What is the value of 4/(-2) + (-1054)/(-473) + 1292/(-7106)? 2/43 What is the value of 8656/280 + 3/(-15) - (-32)/112? 31 Evaluate 0/(-8 - 54/(-9)). 0 -2 + 104/(-88) + 3 -2/11 Evaluate (-66120)/(-1508) - 44 - 2/(52/(-238)). 9 What is the value of 8/(-18)*-3 + (-15)/(-225)*-110? -6 Calculate 363/(-132) + (-55)/(-20). 0 What is (-5 - (-310)/30 - 12)/2? -10/3 Evaluate ((8 - (-2404)/(-200)) + 4)*2. -1/25 What is the value of 1*12/(-40) - 1030/(-3100)? 1/31 What is 6018/(-531)*15/(-17)? 10 What is (90/(-60)*104/819)/((-8)/6)? 1/7 What is (-135)/513*(-4)/10? 2/19 (-75)/5 + 27/((-81)/30) -25 203/58*(-9)/(-7)*(-4)/(-21) 6/7 What is (-26)/120 + (-2748)/(-9160)? 1/12 Evaluate -6 + 3 + (-477)/(-153). 2/17 Evaluate 1/(4*325/(-10504)) - (0 - 8). -2/25 What is the value of (-12)/(-39)*819/126? 2 Calculate 5 + 12/(-28)*-14. 11 -11 - (6 - 2 - 14) -1 What is 32/11 + 0 - (13 + -10)? -1/11 Calculate 54/63*(8 + (-54)/12). 3 (-50 + 49)*(2 + -6) 4 Evaluate (-2*(-1 + 0))/(-9 - (-27 - -6)). 1/6 What is the value of (-85)/(-560) - (217/112 + -2)? 3/14 Calculate 7*1/14 - 1/2 - -5. 5 Calculate (-20)/(-2) + 43/(-61 - -18). 9 What is 1895/(-4927) - 10/(-26)? 0 What is (102/(-8))/((-23)/920*-30)? -17 (4/6)/((-2)/1)*646/1938 -1/9 Evaluate ((-62)/(-18))/((-10)/(-30)) + -10. 1/3 Calculate 47/6 - (-268)/1608. 8 Evaluate (216/28)/(-9) + (-83)/(-56). 5/8 Calculate (((-2)/(-10))/((40/8)/75))/(-3). -1 Calculate 3/52*13*(-17)/(459/(-24)). 2/3 What is 32/21 + (-2)/21? 10/7 Calculate 0 - -1 - (225/300)/(90/128). -1/15 What is the value of 3 - (75/70 + -1)/((-14)/(-196))? 2 Evaluate ((-26)/6 + -3)/(-10 - 416/(-39)). -11 What is (-16*(-3)/(-14))/((8/(-28))/(-1))? -12 What is the value of 1*(-3)/6 - -4*(-1 - -2)? 7/2 Evaluate (10/45 + 140/(-36))*3. -11 What is the value of (-98)/84 + (-4)/(-24) + 9? 8 What is (-6)/10*19/((-399)/(-45))*-1? 9/7 Calculate ((-3)/(-7) - (-150)/(-7))*(-3)/3. 21 What is the value of (-23)/15 + 1 - ((-5848)/170 + 34)? -2/15 Calculate (-1218)/(-84854) + 1/11. 2/19 Calculate ((-8 - -11 - 4) + (-12)/(-15))/(-1). 1/5 Calculate ((-2170)/150 - -15) + (-6 + 6)/8. 8/15 What is the value of (-5)/(-30) + 1550/120 + -13? 1/12 What is (-193)/(-357) - (-328)/6888? 10/17 Calculate (-9)/(((-945)/14)/(-15) - 3). -6 55/33 - 4512/2448 -3/17 ((-45)/(-6))/(400/160) 3 Evaluate 27/(-18)*32/(-6) - (-3240)/(-420). 2/7 1*(-1 + -
{ "pile_set_name": "DM Mathematics" }
8? -32*u**2 - 155*u + 10970 What is the l'th term of 2512, 4788, 7072, 9358, 11640? -l**3 + 10*l**2 + 2253*l + 250 What is the k'th term of -263, -710, -1847, -4022, -7583? -58*k**3 + 3*k**2 - 50*k - 158 What is the c'th term of -22296, -44883, -67470, -90057, -112644? -22587*c + 291 What is the b'th term of 380220749, 380220747, 380220745, 380220743, 380220741? -2*b + 380220751 What is the p'th term of 1063210, 1063235, 1063276, 1063333, 1063406, 1063495, 1063600? 8*p**2 + p + 1063201 What is the m'th term of -825, -3496, -7963, -14238, -22333, -32260? -2*m**3 - 886*m**2 + m + 62 What is the h'th term of 32178712, 64357424, 96536136, 128714848, 160893560? 32178712*h What is the k'th term of -53179, -106376, -159601, -212866, -266183, -319564, -373021? -2*k**3 - 2*k**2 - 53177*k + 2 What is the v'th term of -258444, -258443, -258442, -258441? v - 258445 What is the p'th term of 13422176, 26844352, 40266528, 53688704, 67110880, 80533056? 13422176*p What is the p'th term of 6500, 23200, 51034, 90002, 140104, 201340, 273710? 5567*p**2 - p + 934 What is the n'th term of -665566, -1331161, -1996782, -2662429, -3328102, -3993801, -4659526? -13*n**2 - 665556*n + 3 What is the r'th term of 1028378, 2056752, 3085126, 4113500? 1028374*r + 4 What is the x'th term of -313, -528, -877, -1384, -2073, -2968, -4093, -5472? -4*x**3 - 43*x**2 - 58*x - 208 What is the w'th term of -115742317, -115742318, -115742319? -w - 115742316 What is the w'th term of 77897, 155804, 233711, 311618, 389525, 467432? 77907*w - 10 What is the w'th term of -1771712, -1771710, -1771708, -1771706, -1771704, -1771702? 2*w - 1771714 What is the p'th term of -3173436, -3173433, -3173426, -3173415? 2*p**2 - 3*p - 3173435 What is the m'th term of 75588, 606070, 2046334, 4851270, 9475768, 16374718, 26003010, 38815534? 75815*m**3 + m**2 - 226*m - 2 What is the o'th term of -49, -135, -199, -229, -213, -139? 2*o**3 - o**2 - 97*o + 47 What is the n'th term of 1663283, 3326566, 4989839, 6653102? -5*n**2 + 1663298*n - 10 What is the f'th term of 13519, 13607, 13691, 13771, 13847, 13919? -2*f**2 + 94*f + 13427 What is the o'th term of -8645, -69205, -233617, -553817, -1081741, -1869325, -2968505? -8656*o**3 + 10*o**2 + 2*o - 1 What is the m'th term of 1859, 1993, 2385, 3167, 4471, 6429? 22*m**3 - 3*m**2 - 11*m + 1851 What is the u'th term of -30185, -60442, -90771, -121172, -151645, -182190, -212807? -36*u**2 - 30149*u What is the x'th term of -136069240, -136069234, -136069224, -136069210, -136069192, -136069170, -136069144? 2*x**2 - 136069242 What is the j'th term of -2498277, -4996553, -7494829? -2498276*j - 1 What is the w'th term of -3063, -6296, -9679, -13206, -16871, -20668? w**3 - 81*w**2 - 2997*w + 14 What is the f'th term of 4520, 4305, 3736, 2639, 840, -1835? -29*f**3 - 3*f**2 - 3*f + 4555 What is the i'th term of -5310, -11391, -18074, -25359, -33246, -41735? -301*i**2 - 5178*i + 169 What is the v'th term of 1596, 1846, 2260, 2844, 3604? v**3 + 76*v**2 + 15*v + 1504 What is the w'th term of 640841, 640736, 640631, 640526, 640421? -105*w + 640946 What is the c'th term of -249, -303, -521, -957, -1665, -2699, -4113, -5961? -9*c**3 - 28*c**2 + 93*c - 305 What is the p'th term of -4731321, -9462653, -14193993, -18925341, -23656697? -4*p**2 - 4731320*p + 3 What is the t'th term of 865706, 866102, 867180, 869282, 872750, 877926, 885152, 894770? 57*t**3 - t**2 + 865650 What is the d'th term of 8744, 38794, 88878, 158996? 10017*d**2 - d - 1272 What is the p'th term of 1564384, 3128767, 4693146, 6257521? -2*p**2 + 1564389*p - 3 What is the k'th term of 201361, 201336, 201325, 201334, 201369, 201436, 201541? k**3 + k**2 - 35*k + 201394 What is the k'th term of 150012758, 300025515, 450038272, 600051029? 150012757*k + 1 What is the g'th term of -4493, -4786, -5573, -7100, -9613? -41*g**3 - g**2 - 3*g - 4448 What is the f'th term of -28687893, -28687890, -28687887, -28687884, -28687881, -28687878? 3*f - 28687896 What is the i'th term of 448736, 3589932, 12116044, 28719530, 56092848, 96928456? 448743*i**3 - 5*i - 2 What is the j'th term of 23746, 46820, 69894, 92968, 116042, 139116? 23074*j + 672 What is the v'th term of 6212946, 12425900, 18638854, 24851808, 31064762? 6212954*v - 8 What is the o'th term of 21547, 43846, 67715, 93940, 123307, 156602, 194611? 131*o**3 - o**2 + 21385*o + 32 What is the p'th term of 3539, 10714, 21525, 35972, 54055, 75774? 1818*p**2 + 1721*p What is the u'th term of -71120, -142225, -213330, -284435, -355540, -426645? -71105*u - 15 What is the j'th term of -2421, -19100, -64375, -152550, -297929? -2384*j**3 + 6*j**2 - 9*j - 34 What is the r'th term of -6263, -6244, -6207, -6146, -6055, -5928? r**3 + 3*r**2 + 3*r - 6270 What is the y'th term of 633, 1276, 2257, 3576, 5233, 7228, 9561? 169*y**2 + 136*y + 328 What is the m'th term of -85513, -341161, -767241, -1363753, -2130697, -3068073, -4175881? -85216*m**2 - 297 What is the h'th term of 32773767, 131095021, 294963785, 524380065, 819343867? h**3 + 32773749*h**2 + 17 What is the f'th term of -19255, -19328, -19401, -19474, -19547? -73*f - 19182 What is the q'th term of 1338, 3020, 4740, 6498? 19*q**2 + 1625*q - 306 What is the z'th term of 249425, 498951, 748491, 998051, 1247637, 1497255, 1746911? z**3 + z**2 + 249516*z - 93 What is the j'th term of -14336, -22808, -31276, -39740, -48200? 2*j**2 - 8478*j - 5860 What is the b'th term of -19801, -47514, -93703, -158368, -241509? -9238*b**2 + b - 10564 What is the y'th term of -68077379, -68077378, -68077377, -68077376, -68077375, -68077374? y - 68077380 What is the v'th term of -3107, -4362, -5621, -6884? -2*v**2 - 1249*v - 1856 What is the o'th term of -32, -624, -1764, -3452, -5688, -8472? -274*o**2 + 230*o + 12 What is the y'th term of 267583, 267531, 267477, 267421, 267363? -y**2 - 49*y + 267633 What is the o'th term of 52260, 51696, 51130, 50562? -o**2 - 561*o + 52822 What is the m'th term of 65876, 65854, 65818, 65768? -7*m**2 - m + 65884 What is the m'th term of 5863, 11767, 17637, 23449, 29179, 34803? -4*m**3 + 7*m**2 + 5911*m - 51 What is the i'th term of 698108, 698209, 698390, 698657, 699016, 699473, 700034, 700705? i**3 + 34*i**2 - 8*i + 698081 What is the f'th term of 1191255, 2382442, 3573629, 4764816? 1191187*f + 68 What is the o'th term of -9, -807, -2133, -3981, -6345, -9219? o**3 - 270*o**2 + 5*o + 255 What is the d'th term of -3105, -3600, -4011, -4344, -4605? -d**3 + 48*d**2 - 632*d - 2520 What is the b'th term of 7954, 15889, 23814, 31729, 39634? -5*b**2 + 7950*b + 9 What is the o'th term of -66797, -534265, -1803105, -4274003, -8347645, -14424717, -22905905? -66781*o**3 - o - 15 What is the j'th term of 140243, 280072, 419903, 559742, 699595? j**3 - 5*j**2 + 139837*j + 410 What is the x'th term of -7093, -12990, -18877, -24748, -30597, -36418, -42205, -47952? x**3 - x**2 - 5901*x - 1192 What is the d'th term of -3929, -3684, -3421, -3134, -2817, -2464, -2069, -1626? d**3 + 3*d**2 + 229*d - 4162 What is the k'th term of -11101, -7752, -4389, -1006, 2403? k**3 + k**2 + 3339*k - 14442 What is the n'th term of 5034, 39152, 131780, 312174, 609590, 1053284? 4876*n**3 - n**2 - 11*n + 170 What is the n'th term of 3905, 3873, 3843, 3815, 3789, 3765? n**2 - 35*n + 3939 What is the x'th term of -33652, -53309, -72966? -19657*x - 13995 What is the m'th term of 82, 460, 1078, 1936, 3034, 4372? 120*m**2 + 18*m - 56 What is the s'th term of -248111, -248128, -248181, -248288, -248467? -3*s**3 + 4*s - 248112 What is the q'th term of -355442, -710888, -1066334, -1421780, -1777226? -355446*q + 4 What is the o'th term of -2124, -17122, -57810, -137028, -267616, -462414? -2140*o**3 - 5*o**2 - 3*o + 24 What is the t'th term of -50297, -100300, -150007, -199418, -248533, -297352? 148*t**2 - 50447*t + 2 What is the l'th term of -107729712, -107729713, -107729714? -l - 107729711 What is the s'th term of -13412, -26687, -39964, -53243, -66524, -79807? -s**2 - 13272*s - 139 What is the o'th term of 460560, 460534, 460486, 460410, 460300? -o**3 - 5*o**2 - 4*o + 460570 What is the o'th term of -1361, -1205, 1985, 9733, 23563, 44999, 75565? 254*o**3 - 7*o**2 - 1601*o - 7 What is the y'th term of -72276, -73500, -74724, -75948, -77172, -78396? -1224*y - 71052 What is th
{ "pile_set_name": "DM Mathematics" }
+ 44. Let v be i(21). Solve 3*d + v = 2*h, 5*d - 2*h + 3*h = -12 for d. -2 Let h(r) = -r**3 - 7*r**2 - 6*r + 4. Let q be h(-6). Let g be (-3)/6*2*9. Let a be 6/(-27) + (-47)/g. Solve -q*o - 2*y = 12, 0 = -2*o + 5*y + a + 1 for o. -2 Suppose -r + 0*r = -4*d + 22, -2*d + 14 = -2*r. Suppose 4*p - 15 = -d*b, -b + p + 4 = 1. Solve x = -3*y + 7, 3*y - 6 = 3*x - b for y. 2 Let r be 2/7 + 12/7. Suppose r*a + a + 6 = 0. Let y be -10*1*1/a. Solve 4*c = 2*j + 4, -c = 2*j - y*j + 9 for c. 3 Let c = -5 + 9. Suppose -c*o = -o - 6. Let g = 4 - 1. Solve g*r = 2*f + o + 5, 2*f = 2*r - 8 for r. -1 Let m(c) = -c**2 - 13*c - 27. Let k be m(-3). Solve -4*w = 0, -5*w = 2*b + k*b + 5 for b. -1 Let i = 12 + -8. Let g = i + 0. Solve 2*u + 19 = u + 3*v, 5*u + g*v = 0 for u. -4 Suppose 0 = -4*f - 6*f + 270. Solve -4*s + 3*o - 12 = -o, s + 5*o = f for s. 2 Let a be 1/(-1) - (0 + 3). Let t = a + 6. Solve t*p + 2*m + 4 = 0, -7 = 5*m + 8 for p. 1 Let r be 0*1*(-1)/2. Let d be (3/(-6))/(1/(-4)). Solve 4*m - d*p + 2 = r, 4*m - p = 3*p - 12 for m. 2 Let i = -76 - -76. Let u(m) = m**3 + 7*m**2 + 5*m - 3. Let g be u(-6). Solve -4*k = -g*a + 27 - 5, i = k + 2*a for k. -4 Let q = -175 + 178. Solve -q*a = k + 7, 5*a - 4*k = -20 - 3 for a. -3 Suppose -2*c = -24 + 20. Solve -4*l = 3*s - 11, 6*s - c*s + 2*l + 2 = 0 for s. -3 Let t(c) = -3*c**3 - 6*c**2 - c + 2. Let b be t(-2). Solve 2 + 5 = -5*y - 4*q, 2*q + 2 = -b*y for y. 1 Let j = -51 + 53. Solve -5*p = -5*n + 5, -2*n + 0*p - j*p = -18 for n. 5 Let i(x) = -x - 7. Let y be i(-10). Let d be -18*(-1 - 3/(-6)). Let b = d + -6. Solve y*a + 2*t - 4 + 0 = 0, 2*a - b*t = 7 for a. 2 Suppose -4*g + 33 - 9 = 0. Solve 3*a - 3*v - 6 = 0, 2*a - g = -a - 4*v for a. 2 Suppose 2*w - 10 = 7*w. Let t = 3 - 10. Let c be w/(-7) + (-26)/t. Solve -5*g + 3*b - 9 = -c*g, 5*g - 23 = -2*b for g. 3 Let o be (-34)/(-3) - 19/57. Solve -2*u - o = 5*d - u, 2*d = -u - 5 for d. -2 Suppose 2 = 3*o - 4. Suppose -13 = -5*n + o. Solve 3*u + 4*y = -0 - 26, 4*u = y - n for u. -2 Let j = 36 - 72. Let u = -25 - j. Solve 2*v = -2*l - 16, -5*l - u = -3*v - 3 for v. -4 Suppose 7*f - 11 = 3. Solve b - 6 = -m, b = -5*m - f*b + 24 for m. 3 Let z = -15 + 15. Suppose -2*t + 3*d + 6 = z, -4*t - t - 4*d + 15 = 0. Solve 1 + 11 = -f + t*b, -2*f - 5*b = -31 for f. 3 Suppose 0 = -q + 2*b + 3*b - 18, -2*b = -5*q + 25. Suppose -q + 15 = 2*h. Solve 3*x = -2*m - 5, 0*m - 4*m - h*x = 12 for m. -4 Let y(n) = 16 - n + 0*n + 0*n - 6. Let g be y(7). Let u be 6 - (3 - -3)/g. Solve 0 = -3*z + c + u, 5*z - c - c - 8 = 0 for z. 0 Suppose 8*j - 5 = 9*j. Let m(l) = 2*l + 10. Let n be m(j). Solve -s + 2*q = 4*s + 31, n = 3*s + 3*q + 6 for s. -5 Let l(b) = b**3 + 6*b**2 + 2. Let h be l(-6). Solve -h*g = 4*f, -f = g - 3*g + 10 for g. 4 Let f = 11 - 6. Suppose 4 = -3*j + f*j. Solve j*g + g = -2*n + 19, 0 = 5*g - 4*n - 17 for g. 5 Let g = 15 + -15. Let w = g - -3. Let f = 32 + -17. Solve -4*h = -3*u + f, w*u - h = -u + 7 for u. 1 Suppose 7*h = 5*h - 4*m, 3*h + 2*m = 8. Suppose -h*i - 24 = 12. Let j = -5 - i. Solve 5*y + u - 8 = 0, -3*y = 4*u - 3*u - j for y. 2 Suppose 0 = -d + 3*d + 3*f - 57, -58 = -3*d + f. Let s = d - 15. Solve 3*c - 2*c - s = -2*w, 6 = 5*w - 2*c for w. 2 Let n(m) = -m**3 + 8*m**2 + 9*m - 5. Let a be n(9). Let o(b) = b**2 + 4*b - 2. Let i be o(a). Solve 0 = z + 3 + 2, 3*l = -i*z for l. 5 Let z = 10 + -6. Let s(r) = 2*r - 6. Let f be s(z). Solve d - 4*u - 19 = -f*d, u = d - 5 for d. 1 Suppose -4*z = -14 - 2. Solve 3*m = -4*u - 27, -1 = -z*m - 3*u - 30 for m. -5 Suppose 5*o = 2*o. Suppose 0 = t - 4 + 2. Let m = -8 - -12. Solve y + w = -y + t, y + 3*w + m = o for y. 2 Let r be -5 + 1/((-2)/2). Let v be 3*-1*(-4)/r. Let i be ((-20)/16)/(v/8). Solve 0 = i*q + 4*s + 2, 4*q + 10 = s for q. -2 Let o(m) = -m - 9. Let k be o(-13). Suppose 3*v + k = 4*v. Solve -4*j + 5 + 3 = -2*u, 3*j + 16 = -v*u for j. 0 Let p = -6 + 10. Let k = -22 - -24. Solve 0 = -2*n + 3*t - k*t - 10, -p*n + 3*t - 24 = 0 for n. -3 Suppose -4*i + 3*d + 3 = 2*d, -2*d = -10. Solve -4*o = h - 13, 0 = 2*h - i for o. 3 Suppose -u + 1 = -4*c - 26, 4*u = 2*c + 38. Let q(b) = -16*b - 95. Let n be q(-6). Let d = 5 - -1. Solve -m = -d*m + 4*z + n, 3*m - u = -4*z for m. 1 Let v be 4/(-3)*(-9)/6. Solve n + 2*b - 9 = 0, -2*n - 12 = v*b - 4*b for n. -1 Suppose 5 = 4*o - 7. Let a be o/(3/(-1))*-11. Solve 5*c + a = t - 15, t - 2*c = 11 for t. 1 Let n be 7 - (3/3 - 0). Let p be (-1 - -6)/(n/18). Let y be ((-4)/5)/((-3)/p). Solve -2*k + 15 = k, -d - y = -k for d. 1 Suppose y = -0*y. Solve 20 = 5*f - y*k + 2*k, -3*f + 12 = -5*k for f. 4 Let s(b) be the third derivative of -b**5/60 + b**4/24 + b**3/3 + 4*b**2. Let f be s(0). Solve 5*z + f*w - 18 = 0, -3*z + 0 + 17 = -5*w for z. 4 Suppose -b = -11 - 13. Let y be b/18*6/4. Suppose -y*h = 3 - 11. Solve -u - h*v = -9, u + u - 3*v + 4 = 0 for u. 1 Let g = -18 + 20. Solve -p + 4*x + 13 = 0, g*p + 0*x + 10 = -4*x for p. 1 Suppose -5*s - x = -0*x - 73, -2*s + 20 = 5*x. Let a = 16 + -10. Let w = 17 - a. Solve 5*y - q + s = 0, -4*y - 3*q = -5*y + w for y. -4 Let g be 1/3 + (-75)/9. Let t(o) = -o**2 - 7*o - 10. Let i be t(g). Let p be i/(-4)*4/6. Solve 21 = -3*b - 2*y, -29 = p*b + b + 3*y for b. -5 Let a be (27/6)/(18/96). Suppose 3*h = -4*c - 7, 3*c - h + 6*h = -8. Let b be (-1 - c)*(-1)/2. Solve b = -5*i - 2*f + 20, -4 + a = 5*i + 5*f for i. 4 Suppose 2*g = 4*g - 6. Suppose g*w = -2*w + 15. Solve x = -w*l + 4 + 10, 3*l = -2*x + 16 for l. 4 Let j(d) = -d**3 - 6*d**2 - d - 4. Suppose 5*r = -f + 9, -4 = f + r - 1. Let t be j(f). Solve t*s = 0, g + 0*g = -s for g. 0 Suppose b - 2*f = -0*f + 34, -4*b - 5*f + 97 = 0. Solve 4*d = 4*y - b, 6*d + 2*y = d - 21 for d. -5 Let n = 7 - 4. Suppose p + n = 0, -p = -x - 2*p. Solve 0 = -2*g - 2*g - x*o + 11, o - 7 = -3*g for g. 2 Let l(n) = 51*n**3 - n**2 - 2*n - 1. Let f be l(-1). Let y = f + 87. Solve 4*k = -4*z + y, 4*z - 9 = 8*z - 5*k for z. 4 Suppose -60 = -4*t - 4*a, 5*t - 3*a = 4*t + 19. Solve 4*q = -i + 2*i + t, -2*i + 12 = 3*q for q. 4 Let i be 34/5 - (-4)/20. Let r = i - 4. Solve -3*p = -8*p - j, -3*p = r*j for p. 0 Let m(s) = -s**2 - 7*s - 6. Let w be m(-6). Let o(f) = 5*f**2 - 1. Let g be o(-1). Suppose u - g = -1. Solve -3*a + 1 = 4*c - u, w = c - 4 for a. -4 Let x = -50 + 34. Let g be (x/20)/(4/(-20)). Suppose -1 - 15 = -4*v. Solve 4*y = 2*y - g*p + 24, -4*y = -5*p + v for y. 4 Let s = 25 - 16. Let a = s + -4. Solve 2*l = -a*n + 7, -l = -5*n - 5*l - 1 for n. 3 Suppose 0 = -8*g + 2*g + 24. Solve -4*p + 0*p - g*q - 8 = 0, 4*p = 4*q - 32 for p. -5 Let a(c) = c + c**3 + 0*c**3 + 6 - 4*c**2 + 3*c**2. Let w be (-4)/6*3 + 2. Let b be a(w). Solve -f = -2*u + 2, -2*u + b = -3*f + 3*u for f. -2 Let q = 35 + -30. Solve -3*v = -k + 19, 5*v + 8 = -3*k - q for v. -5 Let g be ((-3)/3)/((-1)/25). Solve -y + 3*c = y + 18, -4*c + g = -3*y for y. -3 Suppose 3*u + 5 = -3*x + 32, -4*u = 3*x - 30. Let n be (4/x)/(2/6). Suppose -z = -v - 4, -2 = -4*z + n*v + 6. Solve 5*p + 3*d = z, 3*p - 2*d - d = 0 for p. 0 Let z = 12 + -7. Solve 3*l + 2*l + 4 = -3*b, z*b + l = -14 for b. -3 Let a be (3 + -2)/((-1)/(-4)). Suppose 0*o - 40 = -a*o. Solve 5*h - 4*h - 5 = 0, -5*l - h - o = 0 for l. -3 Let z(u) = u**3 + 4*u**2 + 5*u + 3. Let i be z(-3). Let g = 13 + i. Suppose -f = -g - 5. Solve 0 = -t - 3*r + f, -1 - 9 = -2*t - 2*r for t. 0 Let o = 16 + -17. Let c(w) = -18*w**3 - w - 1. Let x be c(o). Solve 5*z - x = 2*b, -5*z = 7*b - 3*b + 6 for b. -4 Let b be ((-13)/(-3))/(3/9). Let g = b - 8. Solve 12 = 3*k, 3*p - g = -2*k - 0 for p. -1 Let o = 9 + 2. Suppose -3*j = -2*j - 5*d - 20, -o = -j + 2*d. Suppose 3*m + i = 12, j*m + 3*i - 14 = 10. Solve -19 = u + m*s, 5*s = -4*u + s - 36 for u. -4 Let m be 114/(-152) - 1*7/(-4). Let n = -1 + -2. Let q be (-1)/(-3) + (-20)/n. Solve 6 = 2*o, -5*w + 3*o + q - m = 0 for w. 3 Let f = 3 + -3. Solve -2*s = -f*s - r - 10, -3*s + 4*r + 25 = 0 for s. 3 Suppose -7*f = -4*f - 30. Suppose 16 = -0*x + 4*x. Solve x*t = 5*l + 17, 5*t + 0*l - 4*l = f for t. -2 Let n(v) = 2*v**3 + v**2 + 2*v - 3. Let r be n(2). Suppose 2 + 37 = 2*f - g, -2*f - 3*g = -19. Solve 5*y + i + f + 9 = 0, i + r = -4*y for y. -5 Let h(q) = q**2 - q + 2. Let s be (2/6)/((-2)/12). Let v be h(s). Solve 2*t = j, -2*t + 0 = -5*j + v for t. 1 Let z = -6 - -26. Suppose a = -4*a + 4*c + z, -3*c + 20 =
{ "pile_set_name": "DM Mathematics" }
the third derivative of -v**7/210 - 71*v**6/60 + 809*v**5/60 + v**3/3 + 3*v**2 - 3*v + 10. What is the third derivative of l(t) wrt t? -24*t - 852 Let l(o) be the third derivative of -7459*o**7/210 + o**5/30 - 173*o**4/3 - o**2 + 860*o - 2. Find the second derivative of l(n) wrt n. -89508*n**2 + 4 Let k be 0/(1 - 12/4) - -3. Let b be (-5)/k + (-92)/(-3). Find the third derivative of -40*d**2 - 24*d**5 + 50*d**2 - b*d**2 wrt d. -1440*d**2 Let i(y) be the first derivative of -2703*y**4/4 + 2*y**3/3 + 77*y + 866. Find the third derivative of i(g) wrt g. -16218 Let n(y) be the first derivative of 0*y + 0*y**5 - 56/3*y**3 - 79/7*y**7 + 0*y**4 + 0*y**6 + 145 + 1/2*y**2. Find the third derivative of n(f) wrt f. -9480*f**3 Let a(s) = -1951*s - 944. Let w(m) = -1944*m - 938. Let y(u) = -5*a(u) + 4*w(u). Find the first derivative of y(l) wrt l. 1979 Let w = 11754 + -23481/2. Let f(j) be the first derivative of 0*j**3 - w*j**2 + 0*j + 41/5*j**5 + 0*j**4 + 34. What is the second derivative of f(c) wrt c? 492*c**2 Let r(y) = -6*y + 270. Let f be r(44). What is the third derivative of -3*j**2 - 66*j**5 + 29 + f*j**2 - 47*j + 47*j wrt j? -3960*j**2 Let r = 102 + -114. Let b be ((-80)/r)/(-3 + (-29)/(-9)). What is the derivative of -2*u + 9*u + 2*u + 0*u + b wrt u? 9 Let w(r) = -6117*r**2 + 7*r + 7056. Let v(d) = 3056*d**2 - 3*d - 3511. Let z(m) = 7*v(m) + 3*w(m). Find the first derivative of z(s) wrt s. 6082*s Let s(i) = -4*i**2 - 1 + 55*i - 143*i + 29*i**3 + 8*i**2. Let l(u) = -2*u**3 + u**2 - u. Let t(f) = -4*l(f) + s(f). What is the second derivative of t(a) wrt a? 222*a Let b(f) = -f + 18. Let u be b(13). What is the third derivative of -10*t**u - 3*t**2 + 12*t**2 + 61*t**5 + 4 wrt t? 3060*t**2 Suppose 12*x + 1 = 25. Find the third derivative of -2*v**2 + 65*v**4 - v - 7*v**x + 0*v**2 + 214*v**4 + 15*v**2 wrt v. 6696*v Let l(r) = -114*r**3 + 11*r**2 - 7*r - 34. Let n(y) = 233*y**3 - 26*y**2 + 16*y + 67. Let t(i) = -9*l(i) - 4*n(i). What is the derivative of t(q) wrt q? 282*q**2 + 10*q - 1 Let p(o) be the third derivative of o**8/336 - 43*o**7/105 + o**6/20 + 383*o**5/12 + o**4/12 + 3571*o**2. Find the third derivative of p(b) wrt b. 60*b**2 - 2064*b + 36 Suppose 4*g = -3*p + 162, 4*g - 5*p - 140 - 38 = 0. What is the first derivative of 54 - g - 224*n**3 + 87 + 88 wrt n? -672*n**2 Let z(q) = 935*q**3 - 758*q**2. Let d(f) = 936*f**3 - 766*f**2. Let j(g) = 4*d(g) - 6*z(g). What is the third derivative of j(l) wrt l? -11196 Let q(v) be the first derivative of -5203*v**6/3 - 59*v**2 - 15*v + 10498. Find the second derivative of q(h) wrt h. -208120*h**3 Let r be 38/3 + (-24)/(-18). Find the first derivative of -5*c - 40*c - r + 5 + 7 wrt c. -45 Let i(b) be the third derivative of -23*b**8/48 - b**6/60 - 199*b**5/60 + b**4/24 + 1031*b**2. Find the third derivative of i(o) wrt o. -9660*o**2 - 12 Let w(v) = 2*v**2 + 16*v - 1. Let z(t) = 15*t**2 - 47*t - 572. Let u(j) = -5*w(j) + z(j). What is the first derivative of u(b) wrt b? 10*b - 127 Let t(u) = -1147*u**2 - 192*u - 4. Let m(x) = 2296*x**2 + 378*x + 7. Let s(n) = 4*m(n) + 7*t(n). What is the second derivative of s(v) wrt v? 2310 What is the third derivative of -o**5 + 2*o**5 + 4086*o**2 + 11*o**6 - 79*o - o**5 - 4080*o**2 wrt o? 1320*o**3 Let y(b) = -63*b - 84. Let g(c) = -3 - 3060*c + 2 + 3059*c. Let i(q) = 12*g(q) + y(q). What is the derivative of i(k) wrt k? -75 Let z(m) be the second derivative of 5*m**4/6 + 47*m**3/6 - 813*m**2/2 - 453*m. What is the first derivative of z(i) wrt i? 20*i + 47 Let x be ((-680)/5)/(2/(-8)). Differentiate -50 - 21*z**4 - x*z**2 + 544*z**2 with respect to z. -84*z**3 Let q(w) be the third derivative of 7/6*w**3 - 5 - 31/120*w**6 + 0*w + 6*w**2 + 0*w**4 + 1/20*w**5. What is the third derivative of q(v) wrt v? -186 Find the third derivative of -131*s**2 - 83 + 25 - 1367*s**2 + 3633*s**4 + 58 wrt s. 87192*s Let c(o) be the second derivative of -329*o**5/10 + 1411*o**2/2 - 1483*o. Differentiate c(b) wrt b. -1974*b**2 What is the derivative of -366 - 460 + 25567*j**4 + 38*j**3 - 12790*j**4 - 12784*j**4 wrt j? -28*j**3 + 114*j**2 Let j(d) be the third derivative of 113*d**5/15 - 3*d**4/8 + 232*d**3 - 49*d**2 - 21. What is the first derivative of j(b) wrt b? 904*b - 9 Suppose 0 = 4*a + 2*m - 104, -a - 5*m = 2*a - 92. What is the second derivative of 15*d + 34*d + 29*d + a*d**2 wrt d? 48 Let u(m) be the second derivative of -752*m**6/15 + 381*m**4/2 - 56*m + 10. What is the third derivative of u(i) wrt i? -36096*i Find the second derivative of 603 + 1026*c**4 + 19*c - 18*c + 343*c**4 + 865 wrt c. 16428*c**2 Let w(h) = -14*h**4 - 62*h**3 + 2*h + 1667. Let t(g) = 28*g**4 + 123*g**3 - 5*g - 3338. Let a(v) = 2*t(v) + 5*w(v). Find the first derivative of a(c) wrt c. -56*c**3 - 192*c**2 Let h(s) be the third derivative of 0*s**4 + 0*s**3 + 0 - 2*s**2 - 1/30*s**6 - 8/15*s**5 + 0*s**7 - 8*s - 1/48*s**8. What is the third derivative of h(j) wrt j? -420*j**2 - 24 Let r = -301 - -307. What is the second derivative of -92644*t + 92666*t - 222*t**3 - 3 + r*t**3 wrt t? -1296*t Let z = 347 - 237. What is the derivative of -41*k - 94 + 135 - z wrt k? -41 What is the first derivative of -73*y + 350 - 44*y - 167*y + 33*y + 1218 wrt y? -251 What is the second derivative of -1826*l**4 - 232 + 520*l**4 + 1006*l + 232 wrt l? -15672*l**2 Find the third derivative of 124108*w**3 - 62065*w**3 + 302*w**2 - 4*w - 6*w**4 - 62122*w**3 wrt w. -144*w - 474 Suppose 0 = c - 3*l - 32, -4*c + 111 - 10 = -3*l. What is the first derivative of 10 + c*n - 63 + 33*n + 21*n wrt n? 77 Let o = -16 - -21. Suppose 2*h - 24 = -5*d, -4*d - 2 = -o*h - 8. Differentiate -7 + h - 13 - 15*f**3 + 12*f**3 with respect to f. -9*f**2 Let o(b) be the first derivative of -392*b**2 + 6198*b - 5545. Differentiate o(f) with respect to f. -784 Let l(q) = 2*q**2 + q + 1. Let c be l(-1). Suppose -163 = -5*x - c*w, -5*w + 127 = x + 3*x. What is the derivative of 33*s + 0 + 10*s**2 - x*s + 30 wrt s? 20*s Let s(a) be the second derivative of -23*a**6/10 + 3*a**4/4 + 929*a**2/2 + a + 56. What is the derivative of s(i) wrt i? -276*i**3 + 18*i Let i(z) = -156*z - 1089. Let x be i(-7). Let d(s) be the third derivative of 0*s - 16*s**2 + 0 - 1/8*s**4 + 13/6*s**x. Find the first derivative of d(l) wrt l. -3 Let h(g) = 1293*g**2 + 413*g - 1. Let q(r) = 646*r**2 + 210*r - 1. Let t(o) = -4*h(o) + 7*q(o). Find the second derivative of t(c) wrt c. -1300 Let b = 74/187 + 4/935. Let q(d) be the third derivative of 0 + 29/24*d**4 + 0*d + b*d**5 + 0*d**3 - 33*d**2. Find the second derivative of q(c) wrt c. 48 Let t(f) be the first derivative of 10486*f**3/3 - 7024*f - 9121. Differentiate t(w) wrt w. 20972*w Let v(y) = 4605*y**2 - 2680*y + 3. Let k(z) = 9208*z**2 - 5359*z + 5. Let o(c) = -3*k(c) + 5*v(c). What is the second derivative of o(n) wrt n? -9198 Let j(w) be the second derivative of -4111*w**4/12 + 49*w**3/2 - 220*w. What is the second derivative of j(g) wrt g? -8222 Differentiate -287 + 535 - 1193 + 1825*c with respect to c. 1825 Suppose m = -0*n - 2*n + 7, -3*n + 12 = 3*m. Find the second derivative of -2*q - 39*q**n - q**5 + 447 + 3*q**5 - 458 + q**5 wrt q. 60*q**3 - 234*q Find the third derivative of -z**5 + 72*z**2 - z**3 + 12215*z**4 - 12566*z**4 + 4533*z**2 wrt z. -60*z**2 - 8424*z - 6 Let o(a) = -a**3 + 5*a**2 + 7*a - 6. Let l be o(6). Let s = l + 11. Differentiate -s - 68*u**3 + 76*u**3 - 3 with respect to u. 24*u**2 Let p(h) = 4*h - 23. Let y be p(8). Let m = 11 + y. Differentiate -t**2 + 11 - 20*t + m*t wrt t. -2*t Find the third derivative of -5004*h**3 + 204*h**3 + 20 + 224*h + 3*h**2 - 9 - 10 wrt h. -28800 Let v(c) = 6 - 756*c + 6 - 5 + 222*c - 170*c. Let d(p) = 234*p - 2. Let i(w) = -11*d(w) - 4*v(w). Differentiate i(z) wrt z. 242 Let v(j) be the third derivative of 124*j**5/5 + 2335*j**3/6 + 124*j**2 + 2. Differentiate v(g) wrt g. 2976*g Let a(q) = 883*q - 3210. Let u(s) = 442*s - 1590. Let n(c) = 4*a(c) - 7*u(c). Find the first derivative of n(r) wrt r. 438 Suppose -125*x + 79 + 421 = 0. Let g(h) be the second derivative of -34*h + 35/6*h**3 + 0 + 1/2*h**x + 0*h**2. Find the second derivative of g(d) wrt d. 12 Let w(h) = h**2 - 34*h + 127. Let i be w(30). Find the third derivative of 28*q**4 - 23*q - 4*q**2 + 4*q**3 + i*q - 2*q**4 +
{ "pile_set_name": "DM Mathematics" }
79 a multiple of 23? False Is 68 a factor of 340? True Does 42 divide 2095? False Does 6 divide 3766? False Is 19 a factor of 4769? True Is 150 a factor of 7951? False Is 28 a factor of 23884? True Is 21513 a multiple of 39? False Is 6 a factor of 45? False Is 17 a factor of 45475? True Is 2954 a multiple of 14? True Does 3 divide 2210? False Does 17 divide 2081? False Is 39 a factor of 936? True Is 21440 a multiple of 20? True Is 4 a factor of 15288? True Is 1483 a multiple of 36? False Is 15 a factor of 459? False Is 18 a factor of 6090? False Is 127329 a multiple of 32? False Does 140 divide 40880? True Is 69 a factor of 22021? False Is 33180 a multiple of 237? True Does 27 divide 41411? False Is 44952 a multiple of 36? False Does 13 divide 5615? False Is 1761 a multiple of 60? False Does 21 divide 11550? True Does 5 divide 1532? False Is 88894 a multiple of 338? True Is 2860 a multiple of 20? True Is 120 a multiple of 4? True Is 16942 a multiple of 183? False Is 40510 a multiple of 5? True Does 17 divide 4622? False Does 14 divide 7579? False Does 45 divide 12820? False Is 126 a multiple of 21? True Is 30 a factor of 7710? True Does 37 divide 2307? False Is 8 a factor of 654? False Is 5 a factor of 4105? True Is 323 a multiple of 22? False Is 1566 a multiple of 27? True Is 707 a multiple of 101? True Does 89 divide 23763? True Is 22 a factor of 330? True Does 3 divide 2307? True Is 2944 a multiple of 64? True Does 185 divide 12210? True Is 28 a factor of 2268? True Is 15 a factor of 289? False Is 19 a factor of 14431? False Is 12 a factor of 132? True Is 40 a factor of 9638? False Is 40 a factor of 6777? False Is 475 a multiple of 19? True Is 65 a factor of 11765? True Is 7347 a multiple of 49? False Does 29 divide 3872? False Is 11 a factor of 17709? False Is 18607 a multiple of 27? False Does 14 divide 6804? True Is 28 a factor of 2031? False Does 16 divide 5184? True Does 25 divide 75? True Does 24 divide 2496? True Is 85 a factor of 5068? False Is 10640 a multiple of 20? True Does 51 divide 13413? True Is 203 a multiple of 31? False Is 50 a factor of 6450? True Is 250 a multiple of 5? True Is 2760 a multiple of 17? False Is 89 a factor of 8099? True Is 12 a factor of 86? False Is 76 a factor of 836? True Does 12 divide 48? True Is 62 a factor of 1364? True Is 23 a factor of 8756? False Is 144 a multiple of 32? False Is 78 a factor of 1170? True Is 5083 a multiple of 13? True Is 17040 a multiple of 120? True Is 7830 a multiple of 30? True Does 13 divide 7008? False Is 10 a factor of 225? False Does 119 divide 703? False Does 5 divide 61250? True Is 19 a factor of 57? True Does 32 divide 288? True Is 13030 a multiple of 32? False Is 6699 a multiple of 87? True Is 187 a factor of 33474? False Is 77 a factor of 21312? False Is 6 a factor of 700? False Is 8 a factor of 49687? False Is 781 a multiple of 41? False Does 18 divide 252? True Does 21 divide 630? True Does 96 divide 2304? True Is 13 a factor of 206? False Is 9 a multiple of 5? False Is 19416 a multiple of 3? True Is 963 a multiple of 2? False Does 6 divide 991? False Is 10276 a multiple of 18? False Does 8 divide 584? True Is 208 a multiple of 7? False Is 86 even? True Does 139 divide 2224? True Is 5 a factor of 14709? False Is 6276 a multiple of 60? False Is 8840 a multiple of 13? True Is 1440 a multiple of 36? True Is 434 a multiple of 11? False Is 5532 a multiple of 136? False Does 14 divide 41? False Is 10 a factor of 200? True Does 11 divide 39177? False Does 55 divide 1870? True Does 58 divide 114446? False Is 133 a factor of 2232? False Is 88 a multiple of 10? False Is 19 a factor of 730? False Is 8 a factor of 672? True Does 31 divide 7713? False Is 14328 a multiple of 199? True Is 109 a factor of 5895? False Is 24279 a multiple of 10? False Is 6304 a multiple of 32? True Is 77 a factor of 17787? True Does 2 divide 572? True Is 19 a factor of 209? True Is 23 a factor of 35374? True Is 11 a factor of 2387? True Does 59 divide 354? True Does 17 divide 56717? False Does 14 divide 8386? True Does 12 divide 2650? False Is 19 a factor of 874? True Is 24 a factor of 6720? True Does 40 divide 1315? False Does 5 divide 1546? False Does 9 divide 2349? True Is 17 a factor of 97342? True Is 2057 a multiple of 11? True Does 7 divide 2261? True Is 161 a multiple of 74? False Is 2296 a multiple of 82? True Does 7 divide 441? True Does 9 divide 10332? True Does 241 divide 5784? True Is 40 a factor of 4680? True Does 27 divide 607? False Does 37 divide 1369? True Is 13961 a multiple of 23? True Does 100 divide 7400? True Is 411 a factor of 61314? False Is 1060 a multiple of 53? True Does 8 divide 7960? True Does 11 divide 4142? False Is 32596 a multiple of 131? False Is 6 a factor of 6006? True Is 91 a factor of 637? True Does 12 divide 293? False Is 1463 a multiple of 77? True Is 30 a factor of 240? True Does 121 divide 620? False Is 34 a factor of 476? True Is 38 a factor of 133? False Is 10566 a multiple of 9? True Is 3841 a multiple of 23? True Is 499 a multiple of 3? False Is 20624 a multiple of 16? True Is 300 a multiple of 4? True Does 4 divide 1710? False Is 34944 a multiple of 119? False Is 20269 a multiple of 160? False Does 5 divide 822? False Does 15 divide 60165? True Is 57 a factor of 6384? True Is 1444 a multiple of 38? True Is 1612 a multiple of 35? False Is 8 a factor of 498? False Does 23 divide 4670? False Does 117 divide 25740? True Is 18 a factor of 2430? True Is 10325 a multiple of 16? False Is 1210 a multiple of 49? False Is 8436 a multiple of 38? True Does 3 divide 5644? False Does 69 divide 1656? True Is 9 a factor of 21069? True Does 10 divide 7463? False Is 33 a factor of 1056? True Is 29488 a multiple of 141? False Is 2056 a multiple of 4? True Is 34290 a multiple of 18? True Is 3310 a multiple of 34? False Does 13 divide 4104? False Does 134 divide 5494? True Does 172 divide 3967? False Is 1952 a multiple of 16? True Does 162 divide 76464? True Is 179 a multiple of 5? False Is 38 a factor of 47582? False Is 334 a multiple of 7? False Is 47 a factor of 1624? False Is 11 a factor of 19422? False Does 16 divide 5648? True Does 89 divide 35778? True Is 35 a factor of 24535? True Does 23 divide 496? False Does 9 divide 5535? True Is 1006 a multiple of 22? False Is 54 a factor of 1030? False Is 10 a factor of 410? True Does 2 divide 8? True Is 840 a multiple of 15? True Does 18 divide 3297? False Is 62675 a multiple of 16? False Does 37 divide 407? True Is 511 a multiple of 17? False Is 19044 a multiple of 12? True Is 300 a multiple of 4? True Does 13 divide 477? False Is 824 a multiple of 16? False Is 120 a factor of 32760? True Does 13 divide 113? False Does 8 divide 11301? False Is 54 a factor of 583? False Is 69 a multiple of 14? False Is 25 a factor of 5225? True Is 736 a multiple of 8? True Is 1407 a multiple of 50? False Is 6 a factor of 67062? True Is 103 a factor of 3880? False Is 1245 a multiple of 21? False Is 12 a factor of 27323? False Is 1551 a multiple of 11? True Is 6531 a multiple of 16? False Is 51 a factor of 3885? False Does 11 divide 572? True Does 139 divide 10052? False Is 66 a multiple of 6? True Is 7 a factor of 192? False Does 33 divide 264? True Does 5 divide 895? True Is 51 a factor of 6783? True Is 40 a factor of 19200? True Is 150 a multiple of 46? False Is 483 a multiple of 21? True Is 209 a factor of 3899? False Is 22 a factor of 330? True Is 7329 a multiple of 5? False Does 14 divide 378? True Is 29 a factor of 2563? False Is 420 a multiple of 14? True Is 18 a factor of 936? True Is 49 a factor of 1519? True Is 740 a multiple of 20? True Is 16397 a multiple of 19? True Does 68 divide 1205? False Does 14 divide 20342? True Is 1065 a multiple of 14? False Does 13 divide 35? False Is 790 a multiple of 79? True Is 446 a multiple of 2? True Does 3 divide 59? False Is 9 a factor of 12564? True Does 13 divide 923? True Does 114 divide 3534? True Is 19259 a multiple of 32? False Does 4 divide 152? True Is 1076 a multiple of 3? False Is 240 a multiple of 6? True Is 1470 a multiple of 5? True Is 91 a multiple of 43? False Is 11554 a multiple of 218? True Does 5 divide 554? False Does 64 divide 56448? True Is 35 a factor of 175? True Is 14
{ "pile_set_name": "DM Mathematics" }
+ 29/180*v**5 + 0*v**3 + 0*v. Determine x so that a(x) = 0. 0, 1/3, 1, 2, 3 Factor 152/5*v**2 + 0 + 1/5*v**4 - 41/5*v**3 - 148/5*v. v*(v - 37)*(v - 2)**2/5 Let q(r) be the first derivative of r**5/45 + 103*r**4/18 + 409*r**3/27 + 34*r**2/3 + 8413. Let q(l) = 0. Calculate l. -204, -1, 0 Let q = -2068606 - -2068611. Factor -45/2*b**2 - 39/2*b**3 - 1/2*b**q + 0*b - 11/2*b**4 + 0. -b**2*(b + 3)**2*(b + 5)/2 Let s(k) be the first derivative of -k**6/30 - 2*k**5/3 - 2*k**4 + 48*k**3 + 81*k**2/2 - 128. Let g(u) be the second derivative of s(u). Factor g(f). -4*(f - 2)*(f + 6)**2 Let y(p) be the first derivative of 0*p - 1/5*p**5 + 0*p**2 + p**4 + 50 - p**3. Solve y(t) = 0 for t. 0, 1, 3 Let r = -69863 + 69863. Factor r - 3/4*h**3 + 3/2*h + 7/4*h**2. -h*(h - 3)*(3*h + 2)/4 Let c(i) be the third derivative of -i**5/20 - 155*i**4/4 - 309*i**3/2 - 204*i**2. Factor c(k). -3*(k + 1)*(k + 309) Let u = 136 - 347. Let g = 213 + u. Let 4/5 + 18/5*s**4 + 18/5*s + 2/5*s**g - 42/5*s**3 = 0. Calculate s. -1/3, 1, 2 Let p(m) be the third derivative of m**9/423360 + m**8/70560 - m**7/11760 - 47*m**5/30 + 61*m**2. Let s(k) be the third derivative of p(k). Solve s(i) = 0. -3, 0, 1 Let x be (-6)/24 + (-13)/(-4). Let j = 197 - 106. Factor -j + 91 - 6*u**2 + x*u**3. 3*u**2*(u - 2) Suppose -4*x + 3*w + 15 = 0, 4*x + 3*w + 2*w - 7 = 0. Let c be 5/(-13 + -2)*x*-2. Factor -t + 20 + 0*t + 5*t**c + 41*t + 60. 5*(t + 4)**2 What is s in 69/2*s**2 + 1/2*s**4 - 67/2*s - 25/2*s**3 + 11 = 0? 1, 22 Let j = -2987 + 50785/17. Let a(c) be the third derivative of -2/255*c**5 + 0 + j*c**3 - 1/68*c**4 + 0*c + 1/1020*c**6 + c**2. Solve a(y) = 0. -2, 3 Suppose 11*l = -1048 + 3204. Let g = l - 194. Factor 8/5*n**2 + g*n + 2/5*n**3 + 4/5. 2*(n + 1)**2*(n + 2)/5 Let z(n) be the second derivative of -n**4/4 - 39*n**3 - 231*n**2/2 + 947*n. Let z(x) = 0. Calculate x. -77, -1 Let x(d) be the second derivative of -d**8/336 + d**6/60 - d**4/24 - 30*d**2 - 7*d - 2. Let u(g) be the first derivative of x(g). Find t, given that u(t) = 0. -1, 0, 1 Let r(a) be the first derivative of -a**4/30 - 8*a**3/3 - 319*a**2/5 - 3364*a/15 - 1395. Determine o, given that r(o) = 0. -29, -2 Factor 39/4*l**4 + 0*l + 361/4*l**2 + 0 + 1/4*l**5 + 399/4*l**3. l**2*(l + 1)*(l + 19)**2/4 Determine o so that 270 + 19*o - 17*o - 14*o + 14*o**2 - 16*o**2 = 0. -15, 9 Factor 4152*g**3 - 2090*g**3 - 6207*g**2 - 2059*g**3. 3*g**2*(g - 2069) Let j(m) = -11*m - 8. Let f be j(-1). Factor -96*r**f - 3*r**2 - 6 + 98*r**3 - 10*r + r**2. 2*(r - 3)*(r + 1)**2 Suppose 55*y - 343 + 39 = -25*y + 4*y. Solve -12/5*o**2 + 6/5 + 4/5*o**3 + 6/5*o**y - 2/5*o**5 - 2/5*o = 0 for o. -1, 1, 3 Factor 2*z**4 + 194672 - 74060*z - 292*z**3 - 6235*z**2 + 2*z**4 + 13687*z**2. 4*(z - 23)**3*(z - 4) Let b(m) = -9*m - 292. Let s be b(-35). Suppose -3*j = -2*c + s, -5*c + 7*j = 11*j. Factor -4/3*k + 2/3*k**2 + 6*k**3 + 10/3*k**5 + 0 - 26/3*k**c. 2*k*(k - 1)**3*(5*k + 2)/3 Let k(h) be the second derivative of -h**7/84 + 11*h**6/60 - 9*h**5/8 + 27*h**4/8 - 9*h**3/2 - 2*h - 3623. Factor k(p). -p*(p - 3)**3*(p - 2)/2 Factor 3/7*y**4 + 0*y**2 - 48*y**3 + 0*y + 0. 3*y**3*(y - 112)/7 Let n(s) = -2*s**3 + 49*s**2 - 103*s - 151. Let q be n(22). Suppose 1/2*a**4 + 6*a**2 + 3/2 + 3*a**q + 5*a = 0. What is a? -3, -1 Suppose -854*k + 72 = -830*k. Let p(o) be the first derivative of 8 - 3/4*o**2 + 0*o - 1/6*o**k. Factor p(v). -v*(v + 3)/2 Let h = 423 - -1657. Let b = h + -14536/7. Factor 8*o + 2*o**2 - 10/7*o**3 - b. -2*(o - 3)*(o + 2)*(5*o - 2)/7 Let s be (99/(-66))/(4/(-8)). Suppose 4*g - 6*g + 8 = 0. Suppose 4*f + 70*f**4 - g*f**2 - s*f**3 - 4*f**3 - 72*f**4 = 0. What is f? -2, 0, 1/2 Let x be 339*45/(-315) + 49. Factor -x*j + 0 - 96/7*j**2. -4*j*(24*j + 1)/7 Let w(i) be the third derivative of 1/300*i**5 - 3/40*i**4 + 0 - 10*i**2 - i + 4/15*i**3. Factor w(m). (m - 8)*(m - 1)/5 Suppose 0 = 5*i - 44 - 76. Let w = i - 17. Solve 19*s + s**2 - w*s - 9*s**3 - 3*s**5 - 12*s**4 + 11*s**2 = 0 for s. -2, -1, 0, 1 Solve 4/5*x**3 - 3524/5*x - 3672/5 + 152/5*x**2 = 0. -54, -1, 17 Let z(f) be the first derivative of -1/3*f**3 + 50 + 0*f**2 + 0*f**4 + 0*f + 1/5*f**5. Solve z(r) = 0. -1, 0, 1 Let u be (-8 + 495/63)/(10*(-2)/28). Let d(z) be the second derivative of 2*z - 2/3*z**3 + 0 - 4/5*z**2 + u*z**4. Solve d(n) = 0. -1/3, 2 Let u be (144/54 - (-4)/3)/4 + (-11)/(-88). Solve -3/8*w + 3/8*w**3 + u - 9/8*w**2 = 0 for w. -1, 1, 3 Suppose t + m - 309 = 0, -m - 1549 = -5*t - 4*m. Let o = -311 + t. Solve 2/5*u**2 - 2/5*u - 2/5*u**4 + o + 2/5*u**3 = 0. -1, 0, 1 Suppose 91 = -37*m + 239. Let v(a) be the first derivative of -2/3*a**3 + 3/2*a**2 - 1/2*a**m - a + 3/5*a**5 - 1/6*a**6 + 51. Factor v(w). -(w - 1)**4*(w + 1) Let m be (-25 - -18)*((-15)/(-21) - 1). Determine y so that 0*y**m + 3/4*y - 3/4*y**3 + 0 = 0. -1, 0, 1 Let b be (-28 - 3325/(-120)) + (-15)/(-24). What is a in 0*a + 0 + 1/3*a**3 - b*a**2 = 0? 0, 1 Let z = 83523034/2900105 - 2/580021. Factor 24/5*a + 143/5*a**2 - z - 24/5*a**3 + 1/5*a**4. (a - 12)**2*(a - 1)*(a + 1)/5 Let z = -314988 - -2204966/7. Let -36/7 + z*u - 2/7*u**3 - 12/7*u**2 = 0. Calculate u. -9, 1, 2 Let d be (10835/(-23837))/((-2)/11). Find u such that d*u**4 + 1/2*u**2 - u + 4*u**3 + 0 = 0. -1, 0, 2/5 Suppose -q = q - 6. Suppose 0 = -7*k + q*k + 172. Factor 2 + 6*d**2 - d - 5*d + k*d**3 - 45*d**3. -2*(d - 1)**3 Let d(t) be the second derivative of -t**4/60 + 268*t**3/15 - 35912*t**2/5 + 236*t - 2. Factor d(l). -(l - 268)**2/5 Let t = 986 - 974. Suppose -2*g = o, 0 = -0*o - 3*o - t. Factor g + 8/3*l + 2/3*l**2. 2*(l + 1)*(l + 3)/3 Let p = -1/532557 - -532559/1065114. Find o such that 3*o**3 + 0 - 7/2*o**2 + p*o = 0. 0, 1/6, 1 Suppose 0 = 4*d + 21 - 25. Let t(o) = o**4 + o - 1. Let h(b) = 2*b**5 + 5*b**4 - 28*b**3 - 5*b + 5. Let k(s) = d*h(s) + 5*t(s). Factor k(c). 2*c**3*(c - 2)*(c + 7) Let g(k) = 29*k**4 - 120*k**3 + 995*k**2 - 3120*k + 2216. Let u(r) = -17*r**4 + 72*r**3 - 597*r**2 + 1872*r - 1330. Let w(v) = 7*g(v) + 12*u(v). Factor w(y). -(y - 8)**2*(y - 7)*(y - 1) Let a(f) = -10*f**4 + 42*f**3 - 357*f**2 + 1532*f - 1938. Let r(b) = -b**4 + b**3 + b**2 - 4*b - 2. Let i(v) = a(v) - 9*r(v). Solve i(z) = 0. 2, 8, 15 Let x(c) = 2*c**2 - 8*c + 1. Let r be x(4). Let s be (4*1/(-6))/(r/(-24)). Find u such that 42*u**5 + s*u**4 - 12*u**3 + 34*u**5 - 80*u**5 + 16*u - 16*u**2 = 0. -1, 0, 1, 2 Let k(t) be the third derivative of -t**6/220 + 4*t**5/55 + t**4/44 - 8*t**3/11 - t**2 + 9*t + 36. Solve k(d) = 0. -1, 1, 8 Factor 120*z**2 - 108*z - 4/3*z**5 + 44/3*z**4 - 184/3*z**3 + 36. -4*(z - 3)**3*(z - 1)**2/3 Let j(v) be the third derivative of -v**7/280 - v**6/20 + 3*v**5/8 - v**4 - 34*v**3/3 - 2*v**2 + 5*v. Let l(c) be the first derivative of j(c). Factor l(y). -3*(y - 1)**2*(y + 8) Let z be (0 + 1)/((-14183)/(-2182)). Factor 0 + 8/13*j**2 + z*j**3 + 8/13*j. 2*j*(j + 2)**2/13 Let t = -733 + 733. Let q be (-220)/(-198) - t/2. What is m in 14/3*m**2 + 8/9 - q*m**3 - 16/3*m = 0? 1/5, 2 Let f be (-1292)/(-306) - (-2)/(-9). Factor f*p**2 - 4 + 20 + 37 + 3 + 42*p - 6*p. 4*(p + 2)*(p + 7) Let 22/19*f + 2/19*f**3 + 24/19*f**2 + 0 = 0. What is f? -11, -1, 0 Let x(m) be the third derivative of -81*m**7/70 + 369*m**6/20 - 2437*m**5/20 + 861*m**4/2 - 882*m**3 + 43*m**2 - 3*m. Suppose x(z) = 0. Calculate z. 14/9, 3 Suppose 3*p + 2*s = 14, 3*p - 9 = p - s. Suppose 12 = 7*h - p*h. Determine t, given that h*t**4 + 4*t**2 + 8*t**3 - t + t = 0. -1, 0 Let x(f) be the first derivative of -f**6/40 + 3*f**5/20 - 3*f**4/8 + f**3/2 + f**2 - 9*f - 43. Let c(u) be the second derivative of x(u). Factor c(w). -3*(w - 1)**3 Let n be (-6)/(-10) + 14182/35. Let m = n - 405. Let 12/5*w**3 - 12/5*w**4 + 4/5*w**5 + 0 + 0*w - m*w**2 = 0. Calculate w. 0, 1 Let s(y) be the third derivative of 11*y**8/504 + 2*y**7/21 + y**6/90 - 2*y**5/5 - 13*y**4/36 + 2*y**3/3 + 2*y**2 + 26*y - 42. Solve s(k) = 0. -2, -1, 3/11, 1 Let t(h) = 13*h**4 - 349*h**3 + 663*h**2 + 2425*h + 1400. Let s(c) = 5*c**4 - 140*c**3 + 265*c**2 + 970*c + 560. Let y(z) = 12*s(z) - 5*t(z). Factor y(g). -5*(g - 8)*(g - 7)*(g + 1)**2 Let d(f) be the first derivative of f**4/54 + 14*f**3/27 - 5*f**2/3 - 58*f + 27. Let g(k) be the first derivative of d(k). Factor g(y). 2*(y - 1)*(y + 15)/9 Let n(y) be the third derivative of 27*y**5/5 - 65*y**4/2
{ "pile_set_name": "DM Mathematics" }
-3*k - 3 = 0. Let f be 4 + (2 - h)/(-2). Suppose 4*s - 40 = 5*d - s, 0 = -4*d - f*s + 8. Put 6, 4, d in decreasing order. 6, 4, d Let z(b) = 2*b + 5. Let n be (5/2)/((-1 - -3)/(-4)). Let q be z(n). Put 10/11, q, -1/3, -1/2 in descending order. 10/11, -1/3, -1/2, q Let u be 6 - 4/(-1)*-1. Put 8, -3, u in descending order. 8, u, -3 Let b be -26*(-1)/(-11 - -1). Let o = -73/30 - b. Let g = 36 + -37. Put -5, g, o in descending order. o, g, -5 Let h = 129.1 + -128. Sort -1/7, 5, h in ascending order. -1/7, h, 5 Let d = 1114 - 1111. Sort -3, d, 39 in descending order. 39, d, -3 Let n = 28 + -30. Let c be (-3 - (-12 - -4))*(-33)/(-15). Sort c, n, -5 in decreasing order. c, n, -5 Let t = 36 + -7. Let p = -7996 + 7999. Sort t, -2, p in ascending order. -2, p, t Suppose 16*h - 12*h + 1 = -x, 0 = -4*h + 4*x + 4. Sort 23, -2, -5, h in descending order. 23, h, -2, -5 Let w be 10/12*10*24/40. Sort 1, w, -5 in ascending order. -5, 1, w Let m be 0/(-3) - (0 - 3). Suppose 0 = -3*l + 4*u - 10, -2*u = -m*l + 1 - 3. Sort l, 3, -2 in ascending order. -2, l, 3 Let w(r) = r**3 + 9 + 6*r**2 + 2 + 0 + r. Let v(c) = c - 6. Let f be v(0). Let s be w(f). Sort s, -5, -1/8 in descending order. s, -1/8, -5 Suppose 26 = 3*r + 26. Suppose -2*l + r*y = -5*y - 25, -2*l - y = 5. Sort 29, l, 2, -4 in descending order. 29, 2, l, -4 Let q be 22/(-4)*1/12. Let m = 1/24 - q. Put m, -3, 4 in decreasing order. 4, m, -3 Let r be -2 + 2 - 16/4. Let w(a) = -a**3 + 8*a**2 + 8*a + 11. Let t be w(9). Let p(g) = g**3 - 3*g**2 + 3*g. Let q be p(t). Sort 3, r, q in decreasing order. 3, q, r Let x be (-1 + 2)/((-2)/(-14)). Sort 4, x, 2, -2 in descending order. x, 4, 2, -2 Let t = 1328 + -1323. Sort 1, -3/5, -43, t. -43, -3/5, 1, t Let v = -1369 - -1095. Sort -4, v, -3 in ascending order. v, -4, -3 Suppose 0 = 4*r - 5*u + 26, -4*u = r - 2*u. Let a be ((-3)/2)/(99/330). Put a, 1, r in increasing order. a, r, 1 Let u = -2.57 + 2.07. Sort u, -1, -0.3 in increasing order. -1, u, -0.3 Suppose 0 = 5*g + 20, -7 = i + 3*g - 6*g. Sort -2, -5, 9, i in descending order. 9, -2, -5, i Let j(m) = -m**3 + 12*m**2 - 28*m + 10. Let b be j(9). Let h(n) = 7*n**2 + n. Let q be h(1). Suppose -2*r + 0*r = q. Sort r, b, 2. r, b, 2 Let d be ((-28)/42)/(80/(-12) - -4). Put 18, 0, 1/13, d in decreasing order. 18, d, 1/13, 0 Suppose 16*h = 14*h - z - 2, 0 = 4*h - z + 4. Sort -3/4, 1.4, h. h, -3/4, 1.4 Suppose -5*g + 48 = -42. Let q = 19 - g. Let d = -6 - -5. Sort q, 0, d in increasing order. d, 0, q Suppose 0 = -2*f + 7 + 3. Suppose -r - 4 = -2*n, 12 = 13*n + 5*n - 3*r. Sort f, -2, n in decreasing order. f, n, -2 Let k = 243 + -247. Let y = -22 - -17. Sort y, k, -11 in ascending order. -11, y, k Suppose 4*r - 2*r - 6 = 0. Suppose 8*w = 4*w + 700. Let o be (5 - 1) + w/(-49). Sort r, -2/5, o. -2/5, o, r Let z = -41.27 - -0.27. Let x = z - -46. Sort 1/4, -1, x in descending order. x, 1/4, -1 Let p(j) be the first derivative of j**4/4 - 14*j**3/3 + 6*j**2 + 9*j - 14. Let y be p(13). Sort 3/4, -2, y, -3/7 in descending order. 3/4, -3/7, -2, y Let j = 1046 - 1096. Sort j, 0.09, 3, -1/4. j, -1/4, 0.09, 3 Let m be (-7 - (-9 - -6)) + 8. Let u be 1*8/(-2) + 1. Sort u, m, -2 in increasing order. u, -2, m Let v = -0.05 + 0.21. Let m = v + 0.04. Let a = -254 + 3304/13. Put 0.3, a, m in decreasing order. 0.3, m, a Let r be ((-66)/(-693))/((-2)/9). Sort 1, -3, r, -3/2. -3, -3/2, r, 1 Suppose 9*u - 65 = 4*u. Suppose u = 2*z - 13. Suppose -4*m - z = p, 3*p - 4*m = 15 + 10. Sort 1/4, p, -2/9. -2/9, 1/4, p Suppose -3*t + 116 = 128, 2*t + 10 = 2*h. Sort 13, -5, h, 4 in descending order. 13, 4, h, -5 Let b = 0.25 - -0.05. Let f be ((-1)/7)/((-54)/(-378)). Put b, -3, f, 0 in increasing order. -3, f, 0, b Let w = 186 - 181. Sort 3, w, -6 in descending order. w, 3, -6 Let o = 2949 + -2951. Put o, -0.16, 4, 1 in ascending order. o, -0.16, 1, 4 Let d(t) = -t**3 + 8*t**2 - 4*t - 21. Let m be d(7). Sort -1/57, m, -2 in descending order. m, -1/57, -2 Let b be 3 - (-3 - (38/(-8) - 1)). Sort b, -1, -5, 9/7. -5, -1, b, 9/7 Let d = 7 + -5. Let a = -0.36 + -0.09. Let n = a - -0.5. Sort d, 3/5, n in increasing order. n, 3/5, d Let l = 1189 - 1097. Sort -0.2, l, 4, 0.4 in descending order. l, 4, 0.4, -0.2 Let r(w) = w**2 + 16*w + 31. Let f be r(-14). Suppose 7*q - f*q = 12. Sort 2, -5, -3, q. -5, -3, 2, q Let f = -1111/8721 - -5/513. Put 4, 2/7, f in decreasing order. 4, 2/7, f Let d be 3/1*(-1 - 0). Let q be 0/19 + (0 - -1). Sort 4, d, 2, q. d, q, 2, 4 Let k = -185 + 190. Sort 12, k, 4 in descending order. 12, k, 4 Let w be (216/360)/(3/(-2)). Sort w, -3/7, -28, -3. -28, -3, -3/7, w Let z be 4/(-8) + 21/66. Let y = -109 - -109. Sort z, -5, -0.4, y. -5, -0.4, z, y Let c = 1831/5 + -367. Put c, -3/4, 3 in descending order. 3, -3/4, c Let o(r) = 3*r**2 - r + 7. Let w be o(-3). Suppose -4*s - 39 - w = 0. Put -2, s, 2 in decreasing order. 2, -2, s Let m = -1.4 + 1.1. Let k be 14/(-4)*6/(-14). Let o be -2 + -30*(-4 - (-530)/135). Put m, o, k in increasing order. m, o, k Let r = -11 - -6. Suppose 0 = 5*q - 9 - 1. Let c be ((-3)/6)/(q/4). Sort c, -2, r in decreasing order. c, -2, r Let o be (-72)/(-12) - 75/12. Put -0.6, o, -2/7 in increasing order. -0.6, -2/7, o Let o = -4 - -2. Sort 4, 1, o, 0.3. o, 0.3, 1, 4 Let m be (-1)/(7/10) + 1. Suppose -3*x - o + 11 = 0, x - 3*o = -x - 11. Suppose -8 = 5*g - 3. Sort m, g, x in descending order. x, m, g Let s = -165 - -164.5. Sort -2, s, -7, -3 in descending order. s, -2, -3, -7 Let q = 93/1430 - -5/143. Put q, -0.5, -1.8, 4 in increasing order. -1.8, -0.5, q, 4 Let r = 277 - 280. Put -11, -2/11, 0.3, r in decreasing order. 0.3, -2/11, r, -11 Let w = -15323/116166 - -1/3057. Let j = 31/342 - w. Let u(m) = m**2 - 4*m - 1. Let x be u(4). Sort -1/7, x, j in increasing order. x, -1/7, j Let f = 2.68 + -0.68. Put f, -0.5, 0.1, 4.4 in descending order. 4.4, f, 0.1, -0.5 Suppose 0 = 163*f - 156*f - 28. Sort f, -1, 0, 11. -1, 0, f, 11 Let x = -3.8492 - 0.1508. Sort 3/2, -0.02, x in increasing order. x, -0.02, 3/2 Let r be (-2 + 6 + 1)*-1. Suppose 2*t + 18 + 27 = -5*k, 95 = -3*t - 2*k. Let c be (-8)/28 - 10/t. Put -3, c, r in decreasing order. c, -3, r Let u = 5.351 + -0.351. Let f = -2 + 2. Sort -9, f, u in increasing order. -9, f, u Let y = -1431 + 1431.7. Sort -0.4, y, -1, 0.4 in descending order. y, 0.4, -0.4, -1 Suppose 3*m = o + 18, -4*o - 40 + 18 = -2*m. Sort 2, 5, 75, o in decreasing order. 75, 5, 2, o Let s(q) = -q**2 - 12*q - 9. Let x be s(-11). Suppose 0 = 2*p + 3*v - 17, 3*p - x*v = -4*v + 18. Put -0.3, p, -1 in ascending order. -1, -0.3, p Suppose 62 = 2*p - 4. Suppose -5*i = -5*l, 4*l + 3*i + 12 = p. Let f be (1 - l)*6/3. Sort f, 4, -2 in decreasing order. 4, -2, f Let y = 76.9 + -10.9. Let k = -66.3 + y. Sort 2/19, 2, k in decreasing order. 2, 2/19, k Let m = -3.13 - -1.09. Let t = m - -0.04. Let p be (-44)/22 - (-1 - (-4)/(-6)). Put -2/15, t, p in decreasing order. -2/15, p, t Suppose y = 4*v - 18, -5*y + y + 3 = -v. Suppose -a = -v*a + 2*x + 20, -4*a - 5*x - 8 = 0. Suppose 32 = -z - a*z. Sort -1, z, 3 in ascending order. z, -1, 3 Let x = 69.087 + -0.087. Let p = -69.4 + x. Put -5, -3, p, 0.1 in ascending order. -5, -3, p, 0.1 Let o = 1/169 - -317/3549. Let u be 2 - 5 - (-20)/6. Put u, o, 5 in decreasing order. 5, u, o Let q = 8 + -5. Suppose 2*h + 12 = q*n, -n - 10 = -3*n + 2*h. Let p(m) = -2*m**3 - 10*m**2 + 3*m + 14. Let a be p(-5). Put a, n, -5 in increasing order. -5, a, n Let v(a) = a**3 - 6*a**2 + 5*a + 1. Let x be v(5). Let i be (-1 - x)*1*-2. Let h be i*((-10)/(-16) - 1). Put 2/11, h, 2 in ascending order. h, 2/11, 2 Let o = 2.4 + -2. Let w = 60.67 - -0.33. Let b = w + -42. Sort -0.5, o, b. -0.5, o, b Suppose 3*t + 2 = -c, -3*c + 0 - 6 = t. Let b = -11 + 9. Sort b, t, -1, 5 in ascending order. b, -1, t, 5 Let c = 329 - 328. Let p be (4/(-9))/(14/(-21)). Put c, 4, p in decreasing order. 4, c, p Let i = -305 + 302. Sort 2, 6, i, -1. i, -1, 2, 6 Let j = 44 + -34. Suppose -35 - 85 = -j*m. Sort 1, m, 5. 1, 5, m Let p = -279 + 277. Sort p, -0.4, 2, 1 in descending order. 2, 1, -0.4, p Let r = -2 + 5. Let y(n) = n**2 + n - 20. Let m(a) = -2*a**2 - 3*a. Let t be m(1). Let f be y(t). Sort r, 2, f. f, 2, r Let r = 2 + -1.97. Let l = -4.03 + r. Let s = l - -7. Sort 2, s, -2/3 in decreasing order. s, 2, -2/3 Let t
{ "pile_set_name": "DM Mathematics" }
3 - 15*l**2 - 16*l. Let q be x(16). Let d be v(q). Let n = d + 0. Is n even? False Suppose -18*n + 3222 = -42552. Does 13 divide n? False Let x be (-44)/(-10) + 4/(-10). Let j(i) = i**3 - 4*i**2 - 7*i + 4. Let t(u) = -2*u**3 + 8*u**2 + 13*u - 7. Let v(d) = 11*j(d) + 6*t(d). Is 3 a factor of v(x)? True Let f = -308 + 533. Let m = f + -139. Does 17 divide m? False Let r be 26/12 + -2 + (-1724)/(-24). Suppose 5*q - 2*l = 820, q + 3*l - 219 = -r. Does 39 divide q? False Let w(r) = r. Let d be w(-6). Let u be (2*(-3)/d)/(-1). Is 12 a factor of 36*(3 + u)/2? True Let j = 334 + -107. Does 4 divide j? False Let c = -323 - -454. Does 44 divide c? False Let q(p) = 19*p + 8. Let j be 21/(-6)*((-24)/(-21))/(-2). Is q(j) a multiple of 29? False Let p(n) = 7*n**2 + 10*n - 6. Let a(f) = -3*f**2 - 5*f + 3. Let h(r) = -5*a(r) - 2*p(r). Is h(-7) a multiple of 3? False Suppose 3*k = -3*c - 0*k + 1602, 5*c - 5*k = 2710. Suppose -20 = -4*l, -w - c = -4*w + 4*l. Is 15 a factor of w? False Suppose -19 = -6*i + 41. Is 15 a factor of (-5)/(-2)*(0 + i)? False Let w(f) = 2*f**2 + 5*f - 12. Is 6 a factor of w(2)? True Suppose 148 = -72*y + 76*y. Is y a multiple of 7? False Suppose -16*b = -21*b + 865. Does 5 divide b? False Let r = 5 + 1. Let a(g) = g**3 - g**2 + 2*g - 9. Let c be a(r). Suppose 5*l - 27 = c. Does 16 divide l? False Suppose -6*x - 16 = 2*x. Does 4 divide x/(-2) - (2 + -10)? False Suppose -c - 3*s = 2*s + 14, -4*c + 2*s + 32 = 0. Let g = 63 + c. Let i = g + -49. Does 8 divide i? False Let l = 333 + -575. Let x = l - -154. Let p = -51 - x. Does 14 divide p? False Let x(z) = 2*z**2 - z + 16. Let y be 16/(-24) - (-32)/(-6). Is x(y) a multiple of 24? False Let j be (0 - -2)*40/16. Let i(s) = s**2 + 71. Let c be i(0). Suppose -26 = -2*t + 4*l, -c = -3*t + 3*l - j*l. Is t a multiple of 7? True Let v be 6/8 + (-3380)/(-80). Let i = v + -4. Does 13 divide i? True Let r(i) = -1 - 11*i**3 - 5*i**2 - 71*i + 131*i - 63*i. Is 13 a factor of r(-3)? True Suppose 3*i - 12 = -2*s, 0 = 4*s - 0*i - 4*i + 16. Suppose v = 6*z - 3*z, 3*v - z = s. Suppose v = -n + 2*n - 98. Does 21 divide n? False Let p(a) = -18*a**3 - 3*a**2 + 10*a + 17. Does 4 divide p(-3)? False Suppose 0 = -s + 97 + 278. Does 34 divide s? False Is (-225331)/(-707) + 4/14 a multiple of 35? False Let i be 2*5/3*(-6 + 3). Is 4 a factor of -10*-1*(-8)/i? True Let f(d) = 18*d + 8. Let c be f(9). Suppose 0*u - c = -5*u. Let v = u + 8. Is 14 a factor of v? True Let c(l) = 7*l + 4 + 0 - 4 - 21. Is c(5) a multiple of 2? True Suppose -v = -2*v + 5*k + 153, 0 = -5*v + 4*k + 807. Is v a multiple of 8? False Suppose -4*n = -58 - 522. Suppose -5*h + 425 = -5*i, -3*h - 5*i = -70 - n. Is 16 a factor of h? True Suppose -17 - 64 = -n. Suppose 4*q = -2*d + 243 - n, 15 = -5*d. Is 8 a factor of q? False Suppose 3*h = 7 + 20. Let v = h - 4. Suppose v*u - 172 + 52 = 0. Is 5 a factor of u? False Let y(g) be the second derivative of 5*g**4/12 + g**3/6 + g**2/2 + 10*g. Does 20 divide y(-4)? False Let d = 20 - 26. Let f(p) = p**3 + 8*p**2 + 2*p - 9. Is f(d) a multiple of 17? True Let z(x) = 11*x + 11. Let q be z(-7). Let y = -29 - q. Does 13 divide y? False Let f(c) = -c**3 + 5*c**2 - 5*c - 2. Let x be f(4). Let n = 22 + x. Is n a multiple of 8? True Let a(r) = -188*r**3 - 3*r**2 + r - 5. Is a(-2) a multiple of 13? False Let m be 592/(-24)*(-18)/4. Let r = m - 68. Does 14 divide r? False Suppose 0 = 5*s - 2*s - 2*z - 715, -4*s - 4*z = -980. Is 7 a factor of s? False Suppose -4*h - 3*i + 720 = 0, 2*h = -11*i + 6*i + 374. Is h a multiple of 10? False Let m be (-8 - -5)*(2 - 3). Suppose 484 = 3*p - u, 2*u - 5*u = m*p - 480. Does 21 divide p? False Let f be 4*(-2 + 1) - (-5 + 4). Is 12 a factor of 1*f*770/(-21)? False Let y(g) = 30*g**2 + 3*g - 2. Is y(-2) a multiple of 28? True Suppose 0 = -5*y + 97 + 23. Suppose 5*w - 6 - 16 = -4*j, -4*j = 4*w - y. Does 10 divide (j/(-8))/((-2)/20)? True Let l(v) be the second derivative of -3*v**5/20 + v**3/6 + 11*v. Let i be l(-1). Suppose -17 = -i*p + 27. Is p a multiple of 11? True Suppose 5*v = -v + 30. Suppose 3*o - 84 = -v*a + 2*o, 2*a = -5*o + 52. Is a a multiple of 16? True Suppose -3*n - 27 = -4*p, 5*p = 4*p + 2*n + 8. Let i(r) = -47*r + 12. Let b be i(p). Let k = -146 - b. Is k a multiple of 31? True Suppose q + 2*z = -2*z - 2, z = 0. Let l be 9/(3/(-140)*q). Suppose -c = i - 96, -2*c + i = -l + 3. Does 19 divide c? False Let h be (6/(-9))/((-8)/1716). Let w = -33 + h. Is 22 a factor of w? True Suppose 8853 = -2020*k + 2033*k. Is k a multiple of 36? False Let o(p) = 2*p**2 - p + 5. Let m be o(0). Suppose 4*q - 200 = -4*j, 3*j - 242 = -m*q + 2*j. Does 8 divide q? True Let a = 42 + -24. Let d(y) = 3*y**3 - a - 2*y**3 + 10*y + 10*y**2 + 12. Is d(-8) a multiple of 14? True Suppose -4*m = -7*m + 3, 0 = 4*z + 2*m - 394. Is 54 a factor of z? False Let q = -188 - -116. Is (-3184)/q - ((-8)/(-18))/2 a multiple of 4? True Suppose -4*z + 6*m = 8*m - 3742, 1868 = 2*z + 4*m. Is z a multiple of 36? True Suppose p + 4*p - 205 = 0. Suppose 5*v - 2*d - 234 = v, -4*d = -v + p. Is v a multiple of 17? False Suppose -5*z - 6*f = -3*f + 85, 3*z + 27 = 3*f. Let j = z - -13. Is 4 a factor of -3 + j/(4/(-44))? True Suppose 4*a - 32 + 0 = 0. Let x(w) = -w**3 + 8*w**2 + 5. Is x(a) a multiple of 5? True Let m(i) = i - 6. Let c be m(11). Suppose 4*h = 2*h + c*a - 9, 3*h = -a + 12. Is 2 a factor of h? False Suppose 8 = -6*o + 2*o + 5*m, -3*o - 2*m = -17. Suppose -o*v = -5*z + 58 + 834, -178 = -z + v. Is z a multiple of 24? False Suppose 1 + 43 = t. Let j be (-3 - -2)/((-4)/t). Let r(s) = -s**3 + 12*s**2 - 9*s - 1. Does 7 divide r(j)? True Let u(a) = 6*a**3 - 51*a**2 - a - 29. Is u(11) a multiple of 5? True Let u(o) = o**2 - 2*o - 4. Let s be u(4). Let j be (s/1 + 3)*7. Is 5 a factor of 68/7 + 14/j? True Suppose 3 = 3*g, -5 = -3*f + 7*f - 5*g. Suppose 10*x - 23*x + 325 = f. Does 9 divide x? False Let z(k) = 50*k**3 - k**2 + 4*k - 2. Does 3 divide z(1)? True Let v be (13/(130/4))/((-4)/(-50)). Suppose 0 = d + 2*d + 4*m - 41, 2*m = -5*d + 45. Suppose d*y - 22 = 3*y - v*i, 0 = -3*y + i + 7. Is y a multiple of 2? False Let v(m) be the third derivative of -m**6/120 - m**5/6 - 5*m**4/12 - 2*m**3/3 - 2*m**2. Let d be v(-7). Let a = d - -122. Does 14 divide a? False Is 24 a factor of (-14)/((-2)/(-9) - (-8)/(-32))? True Suppose 6*j = 8*j - 10. Let a be 32/3*(3 - -6). Suppose j*t - a = -16. Is t a multiple of 6? False Let i(z) = -4*z - 98. Let u be i(-31). Suppose -15*d - 1496 = -u*d. Does 17 divide d? True Let g be ((-19)/2)/(5/(-10)). Let u = g - 17. Suppose -86 = -4*a - 2*t, 10 = -4*t - u. Does 8 divide a? False Suppose -9*k = -2491 + 655. Let r = k - 28. Is r a multiple of 16? True Let q(a) = a**2 - 27*a + 1148. Does 11 divide q(0)? False Let s(h) = h**3 + 8*h**2 + 5*h - 10. Let t be s(-7). Suppose -315 = -l - t*l. Suppose l = 2*q + 13. Is q a multiple of 25? True Suppose -954 = -a - n - 200, -n + 9778 = 13*a. Is 12 a factor of a? False Let i(d) = 2*d - 26. Let c be i(11). Does 8 divide ((-20)/12)/(c/192)? True Let k = -29 - -21. Let n = k - -10. Suppose g - n*f + 84 = 2*g, g - 4*f = 84. Is 28 a factor of g? True Let t = 102 - 101. Let d = t + 125. Is d a multiple of 21? True Suppose -2926 = 144*l - 146*l. Is 9 a factor of l? False Is (312/15)/(2/60) a multiple of 32? False Let z be (2 - 2)/(-3 - -1). Suppose 45 = 5*o - z*o - 3*k, 3*k = 0. Suppose -o*f = -4*f - 180. Is 11 a factor of f? False Let m(w) = 7*w**2 - 3*w - 8. Is m(-2) even? True Suppose 3*l + 5*r - 135 = 0, -4*l + 166 = 3*r - r. Does 3 divide l? False Let n = 1 - -4. Suppose -5*s - q = -2*q - 236, 0 = -5*s - n*q + 260. Is s a multiple of 6? True Let z be 296/5 - (-8)/10. Let c = 4 + 1. Suppose -4*r - z = -c*r. Is r a multiple of 20? True Suppose 4*w + 4*f = -4, -5*w - 4*f - 8 = -0*w. Let v be 0 + 7/((-14)/w). Suppose 0*g = v*g - 54. Does 27 divide g? True Let j = 42 - 121. Let a = j + 176. Suppose a = 3*z - 0*z - c, -4*z + c + 130 = 0. Does 10 divide z? False Suppose 4*i = 1008 - 84. Suppose -5*d + x - 45 = -i, 12 = 3*x. Does 12 divide d? False Suppose 8*f = 6*f. Suppose -5*y + 38 + 12 = f. Is 5 a factor of y? True Let j be (-2)/6 + 1930/30. Let p = j - 17. Does 7 divide p? False Let t = -36 + 120. Is t + ((-36)/(-24))/(6/16) a multiple of 9? False Let k(s) be
{ "pile_set_name": "DM Mathematics" }
3 + 96*o**2/7 + 122*o. Find l, given that f(l) = 0. -6, -2/3 Let t(v) = v**3 - v**2 - 7*v + 3. Let g(k) = k**3 - 8*k + 2. Let u(f) = 5*g(f) - 6*t(f). Let z be u(6). Factor 3*h**2 + 39*h**4 + 0*h**2 + 24*h**3 + 9*h**z. 3*h**2*(4*h + 1)**2 Let k be (-197 - -197)*(-2)/10. What is t in -9/4*t**2 + k + 3/4*t - 3/4*t**4 + 9/4*t**3 = 0? 0, 1 Let p(h) = -h**2 - h - 2. Let x(s) = 16*s**2 - 116*s + 1048. Let z(m) = -12*p(m) - x(m). Factor z(w). -4*(w - 16)**2 Let -w**4 + 36*w**3 - 3*w**4 + 20*w + 60*w**2 - 105*w**3 + 49*w**3 - 56 = 0. Calculate w. -7, -1, 1, 2 Let b(x) = -x**2 - 11*x + 15. Let y be b(-12). Factor -u**y + 232 + 9*u - 2*u**3 - 226. -3*(u - 2)*(u + 1)**2 Let m be 3542/(-322) + 289/5. Let z be 2/(-8) + 130/8. Let -m*b**2 - 8/5 - z*b - 162/5*b**3 = 0. What is b? -1, -2/9 Let d(x) be the first derivative of -4*x**4/9 + 898*x**3/27 - 6328*x**2/9 + 1568*x/9 + 711. Factor d(k). -2*(k - 28)**2*(8*k - 1)/9 Suppose 2*t + 3*o = t + 6, 3*o - 6 = 0. Let l be 6/2 - (t - -1) - 0. Factor 18/5*v**4 + 32/5 + 176/5*v**l + 96/5*v**3 + 128/5*v. 2*(v + 2)**2*(3*v + 2)**2/5 Let t(b) be the first derivative of -4*b**5/5 - 5*b**4 + 68*b**3/3 + 258*b**2 + 720*b + 374. Determine n so that t(n) = 0. -4, -3, 5 Let f(d) = d**3 - d - 3. Let l(i) = 6*i**3 + 6*i**2 - 36*i - 45. Let p(r) = 3*f(r) - l(r). Suppose p(a) = 0. What is a? -4, -1, 3 Let g be ((-42)/84)/(1/(-6)). Let z(v) be the second derivative of 1/45*v**6 - 1/30*v**5 + 1/9*v**3 - 1/18*v**4 + 0*v**2 - g*v + 0. Factor z(q). 2*q*(q - 1)**2*(q + 1)/3 Let f(n) be the third derivative of 1/14*n**7 + 0*n**3 - 38*n**2 + 0 + 0*n + 5/6*n**4 + 5/336*n**8 - 5/24*n**6 - 1/4*n**5. Factor f(h). 5*h*(h - 1)**2*(h + 1)*(h + 4) Let l be (-1)/((-3)/123)*(-5)/(-5). Find s such that -6*s**5 + 10*s**4 - 4*s**3 + l*s**2 - 90*s**2 + 49*s**2 = 0. 0, 2/3, 1 Let y(z) be the third derivative of -z**6/780 - 2*z**5/195 + 7*z**4/39 - 32*z**3/39 + 2*z**2. Solve y(a) = 0 for a. -8, 2 Let i(n) be the second derivative of n**6/105 + n**5/14 + n**4/14 - 3*n**3/7 + 79*n. Factor i(c). 2*c*(c - 1)*(c + 3)**2/7 Let y(b) be the second derivative of 2*b**6/75 - 19*b**5/25 - 21*b**4/5 - 26*b**3/3 - 44*b**2/5 + 9*b + 2. Factor y(a). 4*(a - 22)*(a + 1)**3/5 Let u = 94 - 92. Determine q, given that -4 + q**u - 5*q + 5*q = 0. -2, 2 Let x(t) be the second derivative of t**6/72 - t**5/8 - 25*t**4/12 + 43*t**3/6 - 3*t - 3. Let y(h) be the second derivative of x(h). Find w such that y(w) = 0. -2, 5 Let g(x) be the second derivative of 1/18*x**5 - 18*x + 0 - 2/27*x**3 - 1/18*x**4 + 0*x**2. Factor g(b). 2*b*(b - 1)*(5*b + 2)/9 Suppose 3*f = -5*h - 47, -2*h + 2 = f + 16. Let o be (18/12)/(2 - 69/f). Factor -o*t - 2/13*t**2 + 0. -2*t*(t + 2)/13 Let d = 1081/1360 + 7/1360. Solve -d*c**2 - 16/5*c - 12/5 = 0 for c. -3, -1 Let k = 1411 + -1406. Let a(t) be the third derivative of 1/36*t**k + 0 + 5/24*t**4 + 0*t + 5/9*t**3 - 9*t**2. Factor a(m). 5*(m + 1)*(m + 2)/3 Find v such that 5523*v - 5475*v - 4*v**3 + v**2 - 5*v**2 = 0. -4, 0, 3 Let x be (-42)/(-10) + 13/((-104)/32). Factor -x*y**4 + 0*y**2 - 4/5*y + 3/5*y**3 + 0. -y*(y - 2)**2*(y + 1)/5 Let x(m) = -1100*m + 9904. Let s be x(9). Solve -12/7*o**3 - 5/7*o**s + 31/7*o**2 - 6/7*o - 8/7 = 0. -4, -2/5, 1 Let q = 101 - 86. Let n(u) = -50*u**4 - 50*u**3 + 120*u**2 + 50*u - 55. Let x(y) = 7*y**4 + 7*y**3 - 17*y**2 - 7*y + 8. Let s(f) = q*x(f) + 2*n(f). Factor s(p). 5*(p - 1)**2*(p + 1)*(p + 2) Find s, given that -6/5*s**4 + 0 - 34/5*s**2 + 8/5*s + 32/5*s**3 = 0. 0, 1/3, 1, 4 Suppose 4*o - 12 + 36 = 2*r, 3*o - 15 = -4*r. Let q be 96/(-18)*r/(-4). Suppose -27 - 4 - 4*h**3 - 1 + 16*h + q*h**2 = 0. Calculate h. -2, 2 Let u be 15/(-10)*2/3 + 22/18. Factor u*t**4 + 0 + 2/9*t**2 + 0*t - 4/9*t**3. 2*t**2*(t - 1)**2/9 Let z be 55/((-11)/(-1)) - (-14)/(-3). Let j(o) be the third derivative of -1/30*o**5 + 0 + z*o**4 + 0*o + 6*o**2 - 4/3*o**3. Determine g so that j(g) = 0. 2 Let b(w) = -3*w**3 + 2*w**2 - 3*w - 5. Let a be b(-2). Let -44*o**4 + 48*o**2 - 4 - 5*o**5 - 8*o + 56*o**3 - a*o**5 - 10*o**5 = 0. Calculate o. -1, -1/4, 1/3, 1 Let 14*q**4 + 364*q + 10*q**4 - 548*q**3 - 28*q**4 - 2*q**4 - 151*q**2 - 27*q**2 = 0. What is q? -91, -1, 0, 2/3 Let k(v) be the third derivative of -v**7/7140 - v**6/1020 - v**5/340 - v**4/204 - 14*v**3/3 + 30*v**2. Let z(u) be the first derivative of k(u). Factor z(o). -2*(o + 1)**3/17 Let t(i) be the third derivative of 0 + 11*i**2 + 0*i**3 - 1/20*i**5 + 0*i - 1/12*i**4. Factor t(w). -w*(3*w + 2) Let c(p) be the first derivative of -1/24*p**3 - 2 - 1/48*p**4 + 4*p**2 - 1/240*p**5 + 0*p. Let r(d) be the second derivative of c(d). Solve r(i) = 0 for i. -1 Suppose -3*f = -3*p + 1 + 5, -6 = -3*p - 3*f. Suppose 3*t + t = -p*t. Factor -2/7*v**5 + 0*v**3 + t + 0*v**2 + 2/7*v**4 + 0*v. -2*v**4*(v - 1)/7 Let b(o) be the first derivative of -o**3/12 - 7*o**2/8 + 9*o/2 + 137. Let b(d) = 0. What is d? -9, 2 Suppose -4*z + 435 = 3*w, 3*z + 181 - 476 = 4*w. Suppose 4*t = 9*t - z. Factor t + m**3 - 21 - 2*m - m**2. m*(m - 2)*(m + 1) Let s(b) be the first derivative of -4*b**3/3 - 48*b**2 - 105. Solve s(n) = 0. -24, 0 What is t in 0*t + 8*t**2 + 0 - 4/5*t**3 = 0? 0, 10 Let c(q) = 255*q**2 + 434*q**3 + 56*q - 32 + 349*q**2 + 478*q**3. Let r(h) = 83*h**3 + 55*h**2 + 5*h - 3. Let j(t) = -3*c(t) + 32*r(t). Solve j(m) = 0. -2/5, -1/4, 0 Let k(q) be the first derivative of 2/3*q**3 - 15 + 4/3*q**2 + 2/3*q. Factor k(c). 2*(c + 1)*(3*c + 1)/3 Let p = -1589 - -1594. Let l(n) be the second derivative of -1/3*n**3 + 0 - 1/30*n**p - 7*n - 5/18*n**4 + 0*n**2 + 1/45*n**6. Factor l(o). 2*o*(o - 3)*(o + 1)**2/3 Suppose 0*y + 2*k + 8 = 3*y, 0 = 3*k - 6. Solve -8*f**4 - y*f**5 + 24 + 13*f**3 - 52*f + 37*f**3 + 16*f**2 - 26*f**3 = 0 for f. -3, -2, 1 Let h be (-52)/60 + 1 - 176/(-30). Let c(f) be the first derivative of 1/12*f**3 - 1/4*f + 1/8*f**2 + h - 1/16*f**4. Factor c(p). -(p - 1)**2*(p + 1)/4 Let j = 54 + -50. Factor -3*z - 84*z**2 + 11*z + 88*z**2 + j. 4*(z + 1)**2 Let o(s) be the first derivative of 3*s**4/4 - 12*s**3 + 54*s**2 - 96*s + 253. Let o(z) = 0. Calculate z. 2, 8 Let b(g) be the third derivative of -g**5/105 - 19*g**4/21 - 74*g**3/21 - 278*g**2. Factor b(z). -4*(z + 1)*(z + 37)/7 Let m(v) be the third derivative of 1/120*v**7 - 1/120*v**5 + 20*v**2 - 1/96*v**6 + 0*v**4 + 0*v**3 + 0*v + 0. Determine b, given that m(b) = 0. -2/7, 0, 1 Let k(r) = -r**3 - 8*r**2 - 8*r - 4. Suppose -5*c + 6 = v + 40, c + 2 = -5*v. Let l be k(c). Let 3*b**2 - b**l - 2*b - b**2 - 5*b**2 = 0. Calculate b. -2, -1, 0 Let r be 4/7 - (3 + 45/(-7)). Let c(u) be the second derivative of -4*u - 1/25*u**5 + 0*u**2 + 1/75*u**6 + 1/30*u**r + 0*u**3 + 0. Let c(o) = 0. Calculate o. 0, 1 Let l(a) = -167*a + 6179. Let o be l(37). Factor o + 2/5*y**3 - 4/5*y**2 + 2/5*y. 2*y*(y - 1)**2/5 Let t be -1*((0 - 0) + -3). Suppose x + 13 = 5*b, -4 + 2 = 2*b - 4*x. Let 3*z + 2*z**2 + 9*z**t + 7*z**2 + 0*z + b*z**4 = 0. Calculate z. -1, 0 Find i, given that 178 + 4*i**2 + 0*i**2 - 64*i - 118 = 0. 1, 15 Let y(u) = 7*u - 25. Let l be y(4). Suppose -8*n = s - 4*n + 14, -l*s - 3*n - 6 = 0. Factor 4/9*k + 2/3*k**s + 0 + 2/9*k**3. 2*k*(k + 1)*(k + 2)/9 Suppose -13*v = -8*v + 985. Let c = 593/3 + v. Determine d so that 2/3*d - 4/3*d**2 - c*d**3 + 4/3 = 0. -2, -1, 1 Let o(w) be the third derivative of -w**8/672 - 2*w**7/105 - 3*w**6/40 - 2*w**5/15 - 5*w**4/48 - w**2 + 157*w. Factor o(r). -r*(r + 1)**3*(r + 5)/2 Let t(w) be the first derivative of w**2 + 30*w - 20. Let n be t(-14). Find h such that -1/5*h**4 + 1/5*h**3 + 0 + 0*h + 0*h**n = 0. 0, 1 Let z(v) be the first derivative of -v**5/15 + v**4/12 + v**3/9 - v**2/6 + 235. Suppose z(w) = 0. What is w? -1, 0, 1 Suppose -2/17*y**3 - 2/17*y**2 + 32/17 + 32/17*y = 0. Calculate y. -4, -1, 4 Find t such that -3*t**3 - 3/5*t**4 + 0*t - 18/5*t**2 + 0 = 0. -3, -2, 0 Let k be (-2400)/108*228/(-10). Let n = -500 + k. Determine y so that -4*y**3 - n*y + 2 + 2/3*y**4 + 8*y**2 = 0. 1, 3 Let m(a) be the first derivative of -1/21*a**3 - 1/35*a**5 - 1/14*a**4 + 0*a**2 + 0*a - 10. Factor m(b). -b**2*(b + 1)**2/7 Let y = 121/2430 + -4/243. Let b(s) be the third derivative of 0*s - 9*s**2 + 0 + s**3 + y*s**5 - 1/3*s**4. Suppose b(v) = 0. What is v? 1, 3 Let s(d) = d**3 - 7*d**2 + 35*d - 122. Let t be s(5). Let p(k) be the first derivati
{ "pile_set_name": "DM Mathematics" }
/24 - (-4)/3. Solve -4*s - 3*r - 31 = 0, a*r + 2*r = -4*s - 36 for s. -4 Let h(w) = -w - 12. Let b(f) = -10*f**2. Let c be b(-1). Let j be h(c). Let m be -2 - ((-6)/2 + j). Solve 2*v = m*z - 17, -z + 14 = -5*v - 3*z for v. -4 Let p be (-6)/(-21) - 820/(-70). Suppose 0 = 3*a - 0*a - p. Solve 0*s - 4 = s, q - a*s = 12 for q. -4 Let u be -1*2*15/6. Let l = 0 + u. Let k = -4 - l. Solve 0 = 3*v + 6, -g - v - k = 6 for g. -5 Let z(u) = u**3 + u**2 + 2. Let f be (-3)/3 + 2/2. Let d be z(f). Suppose -125*v = -123*v - 4. Solve -2*r = 2*g + 14, v*r = -r + d*g + 4 for r. -2 Let j(q) = q**2 - 4*q - 7. Let t be j(6). Suppose t*r + 2*d - 20 = d, 5*r + 4*d = 20. Solve 4*g - r*x + 4 = 0, 2*g - 2*x + 8 = -3*g for g. -2 Let x be (-28)/(-8)*(-108)/(-21). Let i be x/4 + 3/(-6). Solve -i*j = 5*m - 22, -m - 2*m + 15 = 3*j for m. 2 Suppose 0 = -0*z + 4*z - 12. Suppose 5*x - 3*x + 2*y = -24, 2*x = -z*y - 27. Let d = 9 - x. Solve -3*p - p - 3*g = d, p - g = -1 for p. -3 Suppose 36 = 4*f - 4*v, -f - 5 = 2*f + 5*v. Let r = 128 + -125. Solve 10 = -f*z + 2*h + h, -4*h = r*z - 23 for z. 1 Let w(k) = k**2 - 28*k - 27. Let s be w(29). Solve -2*d - 4*i + 32 = d, s*d + 17 = 5*i for d. 4 Let o = -95 - -100. Solve 2*g - s = o - 11, 24 = -4*g - s for g. -5 Let q(c) = 2*c - 5. Suppose 0 = -2*k + 5*h + 43, 5*k - 4*h - 46 - 19 = 0. Let s be q(k). Suppose -2*x = s - 17. Solve -2*a + 9 - 3 = x*z, 4 = a for z. -1 Let h = 98 - 95. Solve h = 5*f + 4*g - 18, 0 = -3*f + 5*g - 17 for f. 1 Let x = -1 + -3. Suppose h = -z - z + 12, 4*h - 33 = -3*z. Let c = x + h. Solve -g = c*d - 8, 0*d + 3*g = 2*d for d. 3 Let g = 2 + 0. Let a(r) = 3*r + 1. Let d be a(g). Suppose -5*i = 107 - 127. Solve 3*t = 2*m + 14, 3*t + 3 = -i*m - d for t. 2 Let u(z) = z - 3. Let c be u(6). Let i(y) = -3*y**3 - 6*y**2 + 4. Let k be i(-2). Solve -k*t - c*s = -26, 0*t - 2*t - 3*s = -16 for t. 5 Let o = -9 - -11. Suppose 0 = o*r - 3 - 5. Solve r = 4*p + 4*z, -3*p + z - 5 = -8*p for p. 1 Let m be (-4)/22 - (1 - (-168)/(-77)). Suppose -y = y + 8, -3*r - 2*y = 5. Suppose 2 = l + 4*i - 5*i, 26 = 5*l + 3*i. Solve -3*u - 18 = l*a, m = -u - r for a. -3 Let x = -282 - -287. Solve 3*g - 31 = -x*q, 3*g + 13 = 7*g + q for g. 2 Let q be (87/9)/((-2)/6). Let k = q - -32. Solve 2*h = 6, -k*m + 4*h - 1 = 2 for m. 3 Suppose 7 = u - 4*y, u - 5*u = -5*y - 28. Let w be (-50)/(-15)*3/2. Solve -w*v - 4*m = -0*v - 17, 0 = v - m - u for v. 5 Let f(m) = -m**2 - 5*m + 2. Let v be f(-6). Let d be (-558)/(-78) - v/(-26). Solve 4*y + 3*x + 5 = 0, 3*y - 5*x - 11 = d for y. 1 Let j(s) = -s**2 + s - 2. Let z be j(2). Let r be z/(-10) + 18/5. Suppose 2*a = -i + 6, 3*i - i - 3 = -a. Solve -b + 2*k = 1, -4*b - r*k - 1 - 3 = i for b. -1 Suppose 0 = -3*p + 2*o + 2, 10*p + 2*o - 30 = 5*p. Solve -3*m = -p*a + a - 12, -m + 7 = -4*a for m. 3 Suppose -3*b - 3*t + 42 = 3, 2*b - 29 = -3*t. Suppose 2*z - b*z = -16. Solve z*d + 2*q + 2 = 18, -2*q = -10 for d. 3 Let c be 35/10 + 2/(-4). Suppose -4*n = -c*u - 17, 2*u = n - 2*u - 1. Solve -3*d = i - 10, n - 15 = 4*i + 2*d for i. -5 Let t(r) = 8*r + 90. Let p be t(-11). Solve 0 = -4*w + p*a - 5*a - 14, 0 = 4*w + 2*a + 16 for w. -5 Let l be 2 - ((-2 - -2) + 0). Suppose -l*d + 10 = -10. Let h be (-3 - -1) + d + -8. Solve -28 = 3*y - 5*c, -c - c + 10 = h for y. -1 Let m = 7 - 4. Suppose -w = -3*t - 22, 5*w + m*t - 30 = 2*t. Let a = w + -4. Solve -y = -1, 4*k + a*y = 7*k for k. 1 Suppose -11 + 1 = -k. Let s = 107 + -114. Let c be s + k - (-4)/1. Solve x + 12 = 5*l - c, 11 = -2*x + l for x. -4 Suppose 2*m = y + 6, m + 0*m = 5*y + 3. Solve 4*t + 16 = -4*z, 0*z + m*z + 4*t = -17 for z. 1 Suppose 40*w - 152 = 488. Solve 5*k = 5*f + 10, f - 20*k - 1 = -w*k for f. -3 Suppose 5*r - 7 = -17, 7 = 3*o + r. Suppose 3*s = -o*s + 468. Let v be 324/s - (-2)/(-13). Solve -a - 3*z = 13, v*z - 4 = 5*a - a for a. -4 Suppose 5*m + v = -92, m + 52 = -2*m + v. Let y = 21 + m. Suppose 0 = 5*p - 4 - 1. Solve -y*g - w + 2*w = -8, -w = 4*g + p for g. 1 Let g(p) = p**2 - 7*p + 5. Let y be g(6). Let a be 12*y*(-2 + 1). Suppose u = -3*u + a. Solve u*t - 14 = f, f + 5*t - 29 = -3*f for f. 1 Let m = -4 - -11. Let a(k) = 36*k**3 + 16 + m - 24. Let n be a(1). Solve -n = 5*i + 4*c, -i = 3*i - 4*c - 8 for i. -3 Let t(w) = -7*w - 26 - 1 - 7 - 1. Let v be t(-8). Solve 2*j - v = 4*j + 5*a, 4*j + 5*a = -17 for j. 2 Suppose -2*v + 12 = 2. Suppose 13 - v = 2*l. Let u be l + (1 - 1 - -1). Solve -j + s - 3 = -2*j, u*j = 4*s - 12 for j. 0 Let t be (2/((-2)/(-53)))/((-13)/26). Let n = t + 111. Solve -k = -n*s + 15, k - 9 = -2*s - 3 for k. 0 Let g be -2 - -8*(2 - 1). Let l be 10/(-3) - g/(-18). Let c = l + 7. Solve 2*f - x - 20 = 2*x, -c*x = f + 12 for f. 4 Let n be ((-1)/2)/(4/(-56)). Suppose -i = -n + 2. Let m be 2 + 0 + 8/4. Solve 0*u + c - 2 = i*u, -m*u + 8 = -4*c for u. -1 Suppose -7*r + 16 = -47. Solve 2*n + 10 = -3*p, 3*n + r + 6 = -p for p. 0 Let o(l) = l**3 + 29*l**2 - 70*l - 239. Let b be o(-31). Suppose -2*p + 41 = 5*q, q - 37 = -4*p + 18. Solve -4*y = -m - p, 4*y + 3 = -4*m - b for m. -5 Let v = 1 + 3. Let o be (0 - v) + (0 - -5). Solve -3*y - o - 3 = h, -y = -2*h + 13 for y. -3 Let q(n) = 2*n**2 + 3*n - 9. Let f be q(-3). Solve f = 2*c, -c = 4*t + 2*c + 4 for t. -1 Suppose 11*n - 6*n = -25. Let f be 7/(-35) - 11/n. Suppose f*l - 3 = l. Solve l = 2*r - h, -4 + 1 = -r + h for r. 0 Let q = 39 + -34. Suppose 0*k - 13 = -k + 5*i, 0 = k + 4*i + q. Solve -2*n = -3*j - 6, -2*j + k - 11 = 0 for n. -3 Suppose -20 = -150*g + 145*g. Solve 2*s - g*l - 6 = 0, -4*s + 0*s = -l - 19 for s. 5 Suppose -2*k - 48 = -5*k. Let p = k - 14. Suppose -1 = -p*q + q. Solve -4*f - 2*y + 10 = 0, -q = -2*f - 2*y + 1 for f. 4 Let p be (-15)/10*(-12)/9. Suppose 6*o - 2*o + 4 = -2*z, 0 = -4*z - 16. Let k = o + p. Solve -k*q = 4*d + 17, 0*d - 3*q + 13 = -2*d for d. -5 Let t(o) = 3*o - 35. Let v(n) = -2*n + 3. Let z be v(-5). Let l be t(z). Solve -2 = 4*k - 2*r, -4*r = -3*k - k - l for k. 0 Let i = -236 + 241. Solve -2*o + 4*o = 3*f - 6, -i*f + 5*o + 5 = 0 for f. 4 Suppose 5*w + 24 = 3*n, 4*n = 3*n + 3. Let j(y) = -y + 2. Let h be j(w). Solve 4*s = -2*i + 4, 0 = h*i - 11 - 9 for s. -1 Let x = 39 + -32. Suppose q - x*q + 24 = 0. Solve 3*u - 10 = -5*d, -q*u = -4*d - 2*u - 14 for d. -1 Suppose -128 + 28 = -4*y. Solve -r + y = 4*r, -11 = 4*z + r for z. -4 Let a = -98 + 109. Suppose 14*o = a + 31. Solve 5*b - 32 = -o*n, -n + 5*b = -8 + 24 for n. 4 Let s = 7 + -5. Suppose -14 - 40 = 2*r + 3*k, 5*k = 2*r + 70. Let t be -3 + (-3)/(9/r). Solve y + 4*g = -s, -t = -5*y - 2*g - g for y. 2 Let y(q) = 3*q**2 - 16*q + 21. Let b(j) = 4*j**2 - 17*j + 21. Let c(f) = 2*b(f) - 3*y(f). Let x be c(12). Solve -2*i = x*k - 3 - 1, -4*i - 2*k = -16 for i. 5 Let d be 1*(-2)/6*-15. Suppose -d*i + 50 = -6*p + p, 0 = -4*i - 4*p. Solve 4*g - i*b + 4 = -11, 2*g - 5*b = -5 for g. -5 Let h(q) = q**3 - 6*q**2 - 5*q - 12. Let w be h(7). Let u(a) = a**2 - 4*a + 8. Let j be u(w). Solve j*y - 13 = c, -3*y - 16 = -4*c - 4*y for c. 3 Let v be (-76)/(-10) + (-4 - 176/(-40)). Solve 4*c = 3*q - 10, 0*c - 2*q = c + v for c. -4 Let i = -770 - -770. Solve 5*u - g - 2 = i, 5*u + 3*g + 2 = -4 for u. 0 Suppose 22 = 5*d - 3*d. Suppose 3*c + 2*f - d = -1, -2*f = -5*c + 6. Let i be 135/7 + (-2)/7. Solve 3*r - 29 = -2*s - c*s, -2*r + 5*s - i = 0 for r. 3 Suppose 2*x - 22 = -4*y, 28 = 4*y - 3*y - 4*x. Suppose -i - y = -5*i. Suppose u = i*u - 16. Solve 2*o - 7 = 3*f, f + 3*f = 4*o - u for o. 5 Suppose 0 = 2*c - 135 + 45. Suppose c = 5*i - 3*m, m + 36 = 4*i - 4*m. Let q be (-6 - -11)*4/5. Solve 0 = 3*j + 5*h - i, 8 - 23 = -5*j - q*h for j. 3 Let c = -88 - -97. Solve 0 = h + 5*w - c, -4*h + 0*w - 2*w = -18 for h. 4 Suppose -21 = -3*g + 5*h, 2*g - h - 21 = -0*g. Let b be (12/8)/(6/g). Solve b*u + 2*i - 3 = -3*i, 3*i = -2*u + 2 for u. 1 Suppose -3*b + 9 = 3. Let j be b/(-7) + (222/42 - -2). Solve 2*o - t = j, 5*t + 2 = 5*o - 13 for o. 4 Let k be -2 + (16 + -12)/(-1 + 3). Solve k = y - 4*m + 9, -y + 4*m - 14 = y for y. -5 Let b = 16 + -7. Let u = 11 - b. Let m be (-4)/(-10) - 104/(-40). Solve -3*n + 3*y = -u*n + 13, n + m*y = 17 for n. 2 Let m(f) be the third derivative of -f**5/30 + 13*f**4/24 + 11*f**3/6 + 25*f**2. Let p be m(7). Solve -5*u - 5*d - 30 = 0, -p*u - 2*d - 22 = d for u. -4 Suppose 2*x - 288 = -4*i, 8*i = -4*x + 5*i + 566. Let p = 14
{ "pile_set_name": "DM Mathematics" }
a + 15 for a. -5 Let v(t) = -2*t**2 - 28*t - 39. Let m be v(-12). Let w be (24/(-10))/((-6)/20). Suppose 9*f - w = 5*f. Solve f*z = -z + m for z. 3 Let p(j) = -4*j + 2. Let b be p(-5). Let k = b - 16. Suppose -124 = -k*u + 2*u. Solve 5*a - u + 6 = 0 for a. 5 Let r(n) = -3 - 12*n + 346 + 2*n - 9*n + 0*n. Let w be r(18). Solve -10*o + w = -11*o for o. -1 Let b(t) = -t**2 - 13*t + 13. Let i be b(0). Suppose -3*d + 48 = i*d. Solve -d*p + 9 = -3 for p. 4 Let u be (-2792)/(-13262) + (-34)/(-19). Let y = 2 - -1. Suppose -2*s + 3*t = 10, -5*t + 23 = 4*s - s. Solve u = -y*o - s for o. -1 Suppose 0 = 12*i - 3 - 57. Suppose i*d + 4*b = 6*b + 56, -3*d = -2*b - 32. Solve -2*g - d = 2*g for g. -3 Let l(w) = -w**2 + 3*w + 60. Let a be l(-6). Suppose 0 = 5*f + 25, 3*y + 4*f + 32 = a*y. Solve 0 = t - y*t + 3 for t. 1 Suppose -1242 = 20*p - 38*p. Suppose 40*z - p = 11. Solve -z*o - 7 - 3 = 0 for o. -5 Suppose -9 = -3*b, 36*g + 11 = 41*g - 3*b. Solve -44*j - g = -45*j for j. 4 Suppose 0 = 10*o - 12*o. Suppose o = -a, 0*l - 4*a = 3*l. Suppose -14*s + 19*s - 10 = l. Solve -3 = -n - s*n for n. 1 Let z be (144/2)/6 + (-36)/4. Solve -5*i + z = 18 for i. -3 Suppose 0 = -352*i + 347*i + 5*q + 1775, 3*i + 3*q = 1095. Solve i = 11*s - 71*s for s. -6 Let r(i) = -i - 17. Let o be r(-20). Suppose 6 = -2*d - 2, o*c - 88 = 4*d. Solve -4*q = 2*q - c for q. 4 Let x(d) = -3*d**2 + 2*d - 2. Let f be x(3). Let u = 267 - 243. Let n = f + u. Solve -p + 3 = n for p. 2 Let t = -146 + -8. Let j be (-6)/(-39) + t/(-13). Suppose -5*i + 7 = 4*q - 8, 4*i - j = 5*q. Solve -i*x = -x + 2 for x. -1 Suppose -2*r = -2*l - 545 + 451, -4*l + 88 = 2*r. Solve 42 + r = -22*v for v. -4 Let p(g) = 3*g**2 + 19*g + 33. Let d be p(-8). Suppose 70*w + 15 = d*w + x, -7 = -w - x. Solve -8*o - 12 = -w*o for o. -3 Suppose 3*k - 42 = -18*k. Suppose c = -2*f + 20, c - k*f - 20 = -5*f. Solve -2*w + c = -6*w for w. -5 Suppose 11 = 4*q + 3. Suppose -4*u + 8*s + 104 = 3*s, 0 = -s. Suppose u = q*f - 6. Solve z + f = 5*z for z. 4 Suppose 8 = -3*x + 3*d - 4, -2*d + 8 = 0. Suppose j + x*j = 7. Solve 4*m + j = -5 for m. -3 Let v(t) = -2*t**2 + 6*t + 3. Let y be v(0). Let d be -1*12/(-3 - y). Solve 0 = -0*q + d*q for q. 0 Let a be ((-3)/2)/(5/(-20) - 0). Let y be 2/19 + a/(-57). Solve 0*u - 2*u = y for u. 0 Let m = 219 + -192. Let r(a) = -a - 3. Let f be r(-5). Solve 0 = 5*j - m + f for j. 5 Let f(n) = n. Let q(a) = 8*a - 26. Let p(v) = 5*f(v) - q(v). Let k be p(8). Suppose -4*m + 12 = 0, -2*y + 3*y = -k*m + 7. Solve 0 = w - 1 - y for w. 2 Suppose 2*i - 2*r - 220 = 0, -r - 268 = -2*i - 53. Solve -56*d + i = -175 for d. 5 Suppose -2*c - 3*a = -0*c + 3, 0 = 4*c + a + 11. Let k be (-10 - 2)/c - (-12 - -11). Solve k*y = 4*y for y. 0 Let p(a) = 4*a + 222. Let s be p(-48). Solve -3 = -s*u + 27 for u. 1 Let r be (-44)/(-704)*-20 - (-2 + (-3090)/8). Solve -r = 6*f - 369 for f. -3 Let q = -277 - -266. Let k be (-7 - q) + (-2)/2. Solve -2*a = k*a + 20 for a. -4 Let z(b) = -92*b + 3353. Let i be z(36). Solve i*v - 26 - 15 = 0 for v. 1 Let j(y) = -y**2 - 8*y - 5. Let g be j(-5). Suppose 0 = 3*x - 4*u + g - 2, 4*u - 8 = 0. Solve a - 5 = -x*a for a. 5 Suppose -40*z + 50 = -35*z. Let q be (z/4)/((-2)/(-4)). Solve 0 = -q*j + 5 + 15 for j. 4 Let c = 92 - 468. Let m = c + 378. Solve 5*d - 3*d = -m for d. -1 Let r be (16 + -12)*(-1 - 0). Let d be 0/(-4 - (9/(-1) - r)). Solve d = -0*k - k + 5 for k. 5 Let o be (-1676)/(-22) - ((-4410)/495)/(-49). Solve -o + 68 = 4*z for z. -2 Let r(a) = -a**3 + 19*a**2 - 19*a + 23. Suppose 16*s = -0*s + 288. Let c be r(s). Solve 0 = c*w - 7*w + 4 for w. 2 Suppose 75*p - 2 = 74*p. Suppose -1 = 2*d + n - 0, -d = -5*n - 27. Suppose -5*z + 5*l - 1 = -16, -p*z = 2*l - d. Solve -5*c - z - 3 = 0 for c. -1 Let g be (-14)/(-21) - -4 - (-6)/(-9). Let p(w) = -5 + 0 + 7*w - 1. Let l be p(g). Solve 4*v - 10 + l = 0 for v. -3 Let l = -10516 - -10592. Solve 12*n + 8 = -l for n. -7 Suppose 349 = 15*m + 248 - 334. Solve z + 25 - m = 0 for z. 4 Let p(i) = -i**2 + 17*i - 15. Let h be p(16). Let g be ((-16)/(-12))/(h/3). Suppose -2*c + g*c - 5*c = 0. Solve -2*w - 5 - 5 = c for w. -5 Let h be (12/18)/(97/24 - 4). Let o be 6*(h/12)/((-6)/(-9)). Solve 28 + o = -10*u for u. -4 Suppose 5*h - 5*u = 10, -4*h - u = u - 20. Suppose -51*s - 3476 = -3884. Solve -h = -d - s for d. -4 Suppose -l = 4*g + 23, -4*g + 5*l - 32 = -3*g. Let x(s) = 4*s + 34. Let p be x(g). Suppose 4*u + 3*u = p*u. Solve -2*c - 5 - 5 = u for c. -5 Let y be (2 - 1599/26)/(2*2/(-8)). Solve y*v = 143*v + 192 for v. -8 Let l(d) = d**3 - 21*d**2 + 38*d - 47. Let q be l(19). Let i be (1 + 6/(-8))/(q/(-376)). Solve i*u + 5 = 9 for u. 2 Suppose -2*o - 5*b = -41 + 1, 5*o + b = 100. Let r(i) = i**2 + 6*i + 5. Let q be r(-6). Solve q*y = 9*y - o for y. 5 Suppose 0 = -g - 3*g + 88. Let p = -21215 + 21217. Solve -5*j - p = -g for j. 4 Suppose -151 = -53*k + 245 - 78. Solve 0 = -k*o - 19 + 61 for o. 7 Let f(p) = -24*p**2 + 1081*p + 30. Let i be f(45). Solve i*a - 94*a + 95 = 0 for a. 5 Suppose 0 = -3*q + 12*q - 45. Let l be (-2)/((92/69)/(20/(-6))). Solve 0 + q = -l*v for v. -1 Let s = -27 - -52. Suppose 8*y - s = -1. Solve y*l - 22 = -10 for l. 4 Suppose 4*k = 2*p - 8, 17 = -2*p + k + 19. Solve y - 12*y - 11 = p for y. -1 Let f be (11 + 266/(-19))/((-1)/54). Solve -f - 18 = -45*w for w. 4 Let w = -1 - -1. Solve 5*q - 7*q - 4 = w for q. -2 Suppose 5*l - 4 - 8 = y, -5*y + 27 = 4*l. Let h be -89 - -1 - (2 - -3). Let t = h - -93. Solve x - y*x - 8 = t for x. -4 Suppose 0 = 132*n + 73*n + 198*n - 7254. Solve -n*y + 41 = 23 for y. 1 Let s = -17974 - -18114. Solve -s = -64*x - 588 for x. -7 Let c = 45 + -17. Let d = -8 + c. Suppose 10 = -5*i + 2*h, 0*h + 4*h - d = 0. Solve i = -4*b + 4 - 16 for b. -3 Let w = 6950 - 6860. Solve w = -33*g - 9 for g. -3 Let l = 5050 - 4959. Solve 0 = 46*g + l + 47 for g. -3 Suppose -5 = -3*y - 2, 353 = r - y. Let b be r/18 - (-2)/6. Solve 6*x - b = x for x. 4 Let p = -140 + 145. Suppose 3*q + 26 = 8*q + 3*l, l - 22 = -p*q. Solve q*c + 1 = -3 for c. -1 Let v(h) = h**2 - 13*h + 5. Let m be v(15). Suppose -m*o = -30*o - 20. Let y(x) = -14*x**3 - 2*x**2 - 2*x - 1. Let i be y(-1). Solve -o*d - i = 3 for d. -4 Let w be (-12)/228 - 22824/(-456). Solve -9*d = -w + 5 for d. 5 Suppose j = -w + 2, 0*w - w - 7 = 4*j. Suppose 55 = -w*r + 100. Solve -r = 3*t - 3 for t. -2 Let w be (3/2)/(1/4). Suppose 5*m = -3*s + 20, -4*s = 6*m - 4*m - 22. Suppose -s*g = -2*g + 5*d - 25, 0 = 3*g - 4*d - 7. Solve w*i = i + g for i. 1 Let d = -6054 + 6063. Solve 17*y + 77 - d = 0 for y. -4 Suppose -72*o - 55*o + 7735 = -42*o. Solve -o*t + 120 = -71*t for t. 6 Let t(l) = 5*l**2 - 12*l + 11. Let k be t(1). Suppose 2*d - 24 = -k*z, -4*z + d + 29 = 17. Solve z*j = j for j. 0 Let j(z) = -2*z + 5. Let q be j(3). Let d be -4 - 0 - -2 - q. Let r be 32/6 - d - (-11)/(-33). Solve -c = c - r for c. 3 Let j be (-2272)/426*(-1 + 5/2). Let g be (18/24)/((-2)/j) - -5. Solve -g*q - 8 + 0 = 0 for q. -1 Let z(u) = -u**3 + 7*u**2 + u - 7. Let f be z(7). Suppose f = -m - 20 + 24. Suppose 2 + 14 = m*t. Solve 0 = -t*h + 5 + 11 for h. 4 Suppose 31*r + 36 = 29*r. Let j(c) = -2*c - 32. Let u be j(r). Solve s + u*s = 20 for s. 4 Let h be (15/(-6))/5*-106. Suppose -h*f - 8 = -55*f. Solve -4*p + 8 - f = 0 for p. 1 Let y(h) = -h**3 - 12*h**2 + 12*h - 11. Let k be y(-13). Suppose 3*v - j = 64, k*j - 4*j = 8. Solve -2*u - v = 2*u for u. -5 Let j = 1441 + -1421. Suppose -4*p + 5 + 3 = -s, -5*s = -p - 36. Solve -j = s*h - 12*h for h. 5 Let l(v) = 25*v + 29. Let i be l(-1). Let o be 0/((-3)/((-1 - 2) + i)). Solve 5*n + n + 18 = o for n. -3 Suppose -4415 = -4*i - 3*l, 3*i - 46*l = -42*l + 3305. Solve -2*p + i = 1111 for p. -4 Suppose -17*w - 36*w + 32172 = -11*w. Solve 758*x = w*x for x. 0 Let g(c) be the second derivative of c**5/20 - c**4/4 - 14*c**3/3 - 2*c + 15. Let b be g(7). Solve -4 = -4*o - b for o. 1 Let o = -21332 + 21420. Solve o*t + 78 = 75*t for t. -6 Let b be ((-645)/(-30))/((-4)/(-24)) - 16/(-4). Solve b = 52*h - 231 for h. 7 Let j(b) = -b**3 - 7*b**2 - 12*b + 2. Let m be j(-5). Solve m*w + 31 = -17 for w. -4 Let g = -64 + -203. Let d = g + 271. Solve 2*x = d*x + 6 for x. -3 Let k(z) = z**2 - 5*z - 10. Let x be k(7). Suppose -5*r + x = -3*r, -a + 18 = r. Suppose -3*p - 9 = 0, -3*o + 2 = -4*p - a. Sol
{ "pile_set_name": "DM Mathematics" }
**2 + u. Let z(g) = g**3 + 7*g**2 - 1. Let j(s) = -2*d(s) + 3*z(s). What is j(a)? 5 Let n(t) = 3*t - 482*t**2 - 1002 + 1017 + 480*t**2. Calculate n(0). 15 Let v(d) = 3*d**3 - 399172*d + d**3 - 3*d**3 + 199583*d + 6 + 199586*d - 10*d**2. Let k be (-2)/6 + 31/3. Determine v(k). -24 Let t = -33 + 36. Let d be (-52)/(-8) + t/6. Let f = d + -2. Let x(a) = 2*a - 1. What is x(f)? 9 Suppose -2*w + y = 5, -3*y + 885 = w + 912. Let z(b) = 2*b**2 + 17*b + 3. Calculate z(w). -27 Let k(t) = -48*t + 175. Let i(h) = 43*h - 148. Let r(y) = -7*i(y) - 6*k(y). Determine r(12). -170 Suppose -8*b = -831 + 791. Let o(w) = 6*w**3 + 12*w**2 - 11*w. Let z(k) = -4*k**3 - 8*k**2 + 7*k. Let d(g) = b*o(g) + 8*z(g). Give d(-3). 15 Let a(n) = 1 - 4 + 2 - 4*n. Let j be ((-7)/(-28))/((-5)/(-20)) - 2. Determine a(j). 3 Let i(a) = -a**3 + 26*a**2 + 6*a - 151. Suppose -2*c + 57 = -5*y, -179*c - 3*y - 55 = -181*c. What is i(c)? 5 Suppose -4*v + 8 + 36 = 0. Let d(y) = -v*y + 3*y + 1 + 18*y. What is d(2)? 21 Let i(l) = l - 7. Let n(q) = 3*q + 6. Let s(x) = 5*x + 8. Let w(a) = -3*n(a) + 2*s(a). Let h(c) = -i(c) + 3*w(c). Let b = 2 - 1. Calculate h(b). 3 Let k(g) = -g + 38. Suppose 84*s = 79*s - d + 118, -4*d = 28. Calculate k(s). 13 Let r be 29 + 21 + (-495)/11. Suppose -5*v = -3*x - 1, 5*x + 0*x + 5*v = 25. Let q(i) = -3*i + x*i + i. Calculate q(r). 5 Suppose 0 = 43*l - 8*l - 140. Suppose -s - l*s = 5*i + 35, 15 = -5*i - s. Let a(x) = -1 + x**3 - x + 1 - x**2. What is a(i)? -10 Let t(h) = 64*h + 573. Let i = -3 - 6. What is t(i)? -3 Let i(q) = -2*q**3 - 5*q**2 - 2*q - 1. Let n(y) = 2*y**3 + 7*y**2 + 7*y + 12. Let h(b) = -2*i(b) - n(b). What is h(-3)? -28 Let u(d) be the second derivative of -1/20*d**5 + 7*d + 7/6*d**3 + 7/12*d**4 + 5/2*d**2 + 0. Determine u(8). -3 Suppose 4*k - 9*v = -7*v - 22, -3*k - v = 4. Let w(a) = 2*a**2 + 7*a - 1. Determine w(k). -4 Let i(h) = h**3 - 8*h**2 + 8. Let c be 0/(-4) - 0 - 1. Let b(y) = -y**2 - 3*y - 9. Let x(z) = -z**3 + 1. Let l(s) = c*b(s) - x(s). Let w be l(0). Give i(w). 8 Let h(w) be the first derivative of -w**3/3 + 11*w**2 + 51*w - 943. Calculate h(24). 3 Let m be 15*36/(-27) + 12. Let a(g) = 18*g + 145. Calculate a(m). 1 Suppose -40 = 5*s, 3*w - 5*s - 130 = -84. Let l(b) be the first derivative of -1/3*b**3 - 27 + b - b**w. Determine l(-2). 1 Let f(m) be the third derivative of m**5/60 - 23*m**4/24 + m**3/3 + 7*m**2. Let a be f(23). Suppose -a + 1 = l. Let h(r) = 2*r**2. What is h(l)? 2 Suppose 0 = 8*x - 4*x + 16, -64 = 4*f + 5*x. Let l(a) = 5*a**2 + 56*a + 4. Give l(f). -7 Let x(j) = 13*j - 76. Let n(o) = -26*o + 122. Let y(s) = -4*n(s) - 7*x(s). What is y(-8)? -60 Suppose r + 3 = 0, 3*r = -4*t + 4*r + 15. Suppose -4*z - 2*n = -14, -t - 8 = -3*z - 2*n. Let w(k) = z*k**2 - 4*k**2 - k**2 - 2*k. Determine w(-3). -12 Let n(v) be the first derivative of v**4/4 - 8*v**3/3 - 3*v**2/2 + 21*v + 64. Let x be n(8). Let m(s) = s**2 + 3*s - 1. Give m(x). -1 Let y = 6 - 7. Let a be -3 - -2 - -6 - y. Let f(z) be the third derivative of z**6/120 - z**5/10 - z**4/24 + 2*z**3/3 - 6*z**2. Determine f(a). -2 Let v(d) be the third derivative of -1/24*d**4 + 0*d + 0 - 26*d**2 + 0*d**3. Determine v(4). -4 Suppose 293*p - 295*p - 2 = 5*u, 5*p - 3*u = 57. Let g(t) = 6*t - 56. Calculate g(p). -2 Let k = -4765 + 4775. Let r(n) be the second derivative of 1/6*n**3 - k*n + 0 - 5/2*n**2. What is r(4)? -1 Let f be 0 + 7/7 + (2 - 0). Suppose -7*u + 8 = -f*u. Let w(h) = 5 - 12*h**2 - 3 - u. Calculate w(1). -12 Let k = 38349 - 38344. Let f(c) = -c**2 + 8*c - 14. Let q(h) = -h**2 + 8*h - 13. Let b(w) = 5*f(w) - 6*q(w). Give b(k). -7 Let b(r) be the third derivative of -r**5/60 + 5*r**4/8 - r**3 + 55*r**2 + 29. Determine b(14). 8 Suppose -4*r - 7 = -4*t - 3, -3*t - 3*r = -9. Let k(h) = -4*h - h - 372 + 369 + h**t + 0*h. Calculate k(4). -7 Let o = -59 + 49. Let r(b) be the first derivative of b**3/3 + 11*b**2/2 + 13*b - 211. Give r(o). 3 Let p(f) = f**3 + 8*f**2 - 13*f - 12. Let b be (-44)/(-330) + (-274)/30 + 0. What is p(b)? 24 Suppose -123*l + 86 + 216 = 1778. Let y(b) = 2*b**2 + 19*b - 34. Calculate y(l). 26 Let h(j) = 2*j**2 - 238*j - 1251. Let v be h(124). Let z(u) = -2*u**2 - 26*u - 26. Calculate z(v). 18 Let t(r) be the first derivative of -1/3*r**3 + 6*r + 38 + 5*r**2. Give t(10). 6 Suppose 2*d - 2*h = -6*h + 4, 4 = 2*d - 5*h. Suppose -8 = d*t, -2*q - 3*q + t - 21 = 0. Let v(f) = f - 7. What is v(q)? -12 Let j(t) = -196*t - 52. Let b(a) = 124*a + 35. Let s(r) = -11*b(r) - 7*j(r). Calculate s(3). 3 Suppose 0 = 30*w - 33*w + 42. Suppose -7*k = -0 - w. Let b(a) = -2*a + 3. Give b(k). -1 Let q = 171 + -167. Let r = 2 + q. Let b(j) = 4*j - 7. Calculate b(r). 17 Let i(a) be the third derivative of a**4/6 + 13*a**3/6 + 4*a**2. Suppose -o = 4*c + 18, 1125 - 1117 = -4*c + 4*o. Determine i(c). -3 Let p(q) be the third derivative of q**8/10080 - q**7/5040 - q**6/720 + 13*q**5/60 - 19*q**2. Let s(u) be the third derivative of p(u). Calculate s(4). 27 Let i be 7/(-98)*2*12*(-28)/(-8). Let k(x) = -16*x - 17. Determine k(i). 79 Let v(f) = 3*f**2 + 2*f + 2. Let q(p) = -2*p. Let n = -4 - -16. Let k be n/15 - 5/(-25). Let c be q(k). What is v(c)? 10 Let m(b) be the second derivative of -b**5/10 + b**4/3 + b**3/6 + 5*b**2/2 + 146*b + 10. Give m(4). -55 Let u(r) = -r**3 - 17*r**2 - 44*r - 32. Suppose 181*t - 86*t + 140 = 85*t. What is u(t)? -4 Let q(m) = 2*m**3 - 11*m**2 + 3*m + 41. Let g(v) = -7*v**3 + 34*v**2 - 11*v - 127. Let o(y) = -3*g(y) - 10*q(y). What is o(-6)? 25 Let w = -203 + 443. Let o be (6/(w/70))/(2/8). Let d(j) = j**2 - 13*j - 14. Let f(k) = -k**2 + 12*k + 13. Let y(b) = -5*d(b) - 6*f(b). What is y(o)? -8 Suppose 104 = -l - 4*r + 294, l - 186 = -5*r. Let f(c) = 0*c - 95 + l - 106 + 3*c. Give f(-4). -7 Suppose -279*k = -286*k - 35. Let v(q) = -q**2 - 6*q - 11. Determine v(k). -6 Let h be 336/36 - 3 - 4. Let s(l) be the first derivative of l**2 + 8 + h*l**3 + l. Give s(-1). 6 Suppose 2*p - 1 = a, 83 = p + 2*a + 75. Let o(j) = -j**3 - 6*j**2 - 3. Let d be o(-7). Let x(f) = 42*f + 1 - d*f - p. Give x(2). -9 Let i be 24/9 + 2/(-3). Let n(q) be the second derivative of -3*q**5/20 + q**4/12 + q**3/2 - q**2/2 + 30953*q. Determine n(i). -15 Let u(h) = 7*h + 82. Let x be u(-11). Let p(y) = -4*y - 2*y + 0*y - x + 8*y. Calculate p(6). 7 Let r(j) = -j**2 - 5*j + 24. Let q be -2 - (11/(66/(-72)) - (-52)/13). What is r(q)? -42 Let i(x) = x**3 + 5*x**2 + 21*x + 68. Let m be i(-4). Let o(g) = -g**3 + g**2 + 2*g + 1. Calculate o(m). 1 Let l = -3707 + 3707. Let c(u) be the third derivative of -5/3*u**3 + l*u + 1/24*u**4 + 0 + 10*u**2. Give c(9). -1 Let p(w) be the second derivative of w**4/12 - 17*w**3/6 + 103*w**2/2 + 4851*w. Determine p(12). 43 Suppose -4*q = 5*u - 0*u - 74, -50 = -2*q + 4*u. Let y(z) = -6*z - 30 - 20*z**2 + q*z**2 + 36. Suppose d - 5*d = -20. What is y(d)? 1 Let g(a) be the third derivative of -a**6/120 + 7*a**5/30 + a**3/6 + 76621*a**2 - 2*a. Let s = 10 - -4. Determine g(s). 1 Let j(l) = l**3 - 54*l**2 + 200*l - 6. Let v be j(50). Let x(s) = -12*s - 13. Determine x(v). 59 Let u = -97 + 101. Let w be ((-33)/9 - u) + (-20)/(-12). Let x(p) = -p**3 - 6*p**2 - p - 6. Give x(w). 0 Let w(n) = 392*n + 3528. Let s be w(-9). Let m(a) be the third derivative of -1/24*a**4 + 11*a**2 + s*a + 0 - a**3. Determine m(-11). 5 Let v(z) = z**3 - 12*z**2 + 11*z + 14. Suppose 1 = 4*o - 5*k - 58, -o + 3*k + 20 = 0. Calculate v(o). 14 Let k(x) = 7*x**2 + 7*x - 2. Let q(z) = 4*z**2 + 4*z - 1. Let f(v) = -3*k(v) + 5*q(v). Let y be (20889/165)/(1/10). Let n = -1264 + y. Calculate f(n). -5 Suppose 5*d - 3*y - 1 = -2, -5*y = 2*d - 12. Let u(i) = -d - 2 - 3 + 2 + 4*i. Suppose -4*c - 3*t = -24, -t - t + 8 = 0. Give u(c). 8 Let x(u) = -2*u + 26. Let k be x(12). Let i(f) = 3*f**2 + k - 9*f + 6*f - 2*f**2. Let z = -480 - -483. Give i(z). 2 Let b(m) = -48*m - 159. Let g(z) = -35*z - 106. Let n(i) = -5*b(i) + 7*g(i). Give n(8). 13 Let d(p) = p**3 + 6*p**2 + 7*p + 7. Let y(s) = -s**3 + 4*s**2 - 2*s - 3. Let u be y(3). Let m be u + 11/(22/(-60)). Let i be m/24*4/6*6. Give d(i). -3 Let l(j) be the second derivative of 13*j**3/3 + 43*j**2/2 - 6198*j. Give l(-2). -9 Let l(v) be the second derivative of v**5/20 + 5*v**4/4 - 5*v**3/2 + 15*v**2/2 - 196*v + 2. Determine l(-16). -1 Let a be 7/35 - (-48)/10.
{ "pile_set_name": "DM Mathematics" }
*2/5 + 20313428083*q - 101567777809/5 = 0. -318697, 1 Suppose -4*q**5 + 2928*q**4 - 294068*q**3 + 10291688*q**2 - 111621024*q - 266808320 = 0. What is q? -2, 32, 41, 620 What is z in 3*z**2/4 + 23913*z/4 + 6961410 = 0? -6555, -1416 What is x in 2*x**5/11 - 1434*x**4/11 - 253200*x**3/11 - 711880*x**2/11 + 5931648*x/11 - 6967296/11 = 0? -144, -7, 2, 864 Factor -p**2/5 - 25326*p/5 - 430253/5. -(p + 17)*(p + 25309)/5 Factor -3*f**2/4 - 256197*f/4 - 13433805/2. -3*(f + 105)*(f + 85294)/4 Suppose 1980*p**4 + 18845*p**3 - 95270*p**2 + 56895*p + 17550 = 0. Calculate p. -585/44, -2/9, 1, 3 Factor -2*r**3/7 - 48190*r**2/7 - 293130576*r/7 - 4886212896. -2*(r + 119)*(r + 11988)**2/7 Determine x so that -15*x**5/7 + 611*x**4/7 - 6406*x**3/7 + 23628*x**2/7 - 22392*x/7 - 7776/7 = 0. -4/15, 2, 6, 27 Factor -5*n**4 + 52335*n**3 + 28340685*n**2 + 3742908345*n. -5*n*(n - 10989)*(n + 261)**2 Suppose 7*k**5/6 - 2377*k**4/6 + 7125*k**3/2 + 241309*k**2/6 + 204475*k/3 + 31900 = 0. Calculate k. -5, -1, 116/7, 330 Determine s, given that 4*s**2/3 + 19852*s - 477216 = 0. -14913, 24 Factor 3*o**2 + 5298*o + 485679. 3*(o + 97)*(o + 1669) Suppose -7*u**3 - 31685*u**2 + 975654*u + 2077992 = 0. What is u? -4557, -2, 228/7 Factor -x**2 + 16921*x - 10090938. -(x - 16302)*(x - 619) Let p**4 + 347593*p**3 + 1737947*p**2 + 2433119*p + 1042764 = 0. Calculate p. -347588, -3, -1 Suppose -3*f**3/7 - 9477*f**2/7 + 1121151*f/7 + 834615 = 0. What is f? -3273, -5, 119 Solve -5*z**2 + 413992810*z - 8569502336584805 = 0. 41399281 Find l, given that -3*l**2 + 111773238*l - 1041104727750387 = 0. 18628873 Factor -3*k**2 - 5354619*k - 133863600. -3*(k + 25)*(k + 1784848) Solve 8*a**5 - 1590*a**4 + 59154*a**3 - 97912*a**2 - 28200*a = 0. -1/4, 0, 2, 47, 150 Let 4581*r**4/2 - 20616*r**3 - 2277*r**2 + 20616*r - 27/2 = 0. What is r? -1, 1/1527, 1, 9 Suppose -196*c**5/3 - 142800*c**4 + 11828272*c**3 - 391290304*c**2/3 + 480954624*c - 532528128 = 0. What is c? -2266, 2, 36/7, 68 Let -2*f**5/5 + 61108*f**4/5 - 2441526*f**3/5 + 12388604*f**2/5 + 2441528*f/5 - 12449712/5 = 0. Calculate f. -1, 1, 6, 34, 30514 Factor 5*c**2/2 - 43895*c/2 + 2298345. 5*(c - 8673)*(c - 106)/2 Factor -2*k**3/7 + 179916*k**2/7 - 539730*k/7. -2*k*(k - 89955)*(k - 3)/7 Find a such that a**2/3 + 1386690*a - 4160071/3 = 0. -4160071, 1 Factor -j**2/3 - 10729950*j - 86348870251875. -(j + 16094925)**2/3 Factor -135*q**3 - 2816514*q**2 - 15020832*q/5 - 4005504/5. -3*(q + 20862)*(15*q + 8)**2/5 What is c in c**3 - 2951867*c**2 - 17711229*c - 26566857 = 0? -3, 2951873 Suppose -3*k**3 - 177291*k**2 - 30427488*k - 1307427900 = 0. What is k? -58925, -86 Factor -2*v**2/3 + 2126*v/3 + 64232. -2*(v - 1147)*(v + 84)/3 What is v in -v**4/4 - 1535*v**3/4 - 147072*v**2 - 16629760*v + 16777216 = 0? -1024, -256, 1 Let -15*c**5 + 51770*c**4 - 44129315*c**3 - 933568620*c**2 - 588017920*c + 301369600 = 0. Calculate c. -20, -1, 1/3, 1736 Factor 2*w**2/7 - 1158144*w/7 + 1158142/7. 2*(w - 579071)*(w - 1)/7 Factor -4*t**3 - 147344*t**2 - 1353051840*t + 70757676288. -4*(t - 52)*(t + 18444)**2 Find o, given that -48387*o**3 + 87608664*o**2 - 40090096647*o + 392188487070 = 0. 10, 114337/127 Let -3*p**5/5 + 456*p**4/5 + 6309*p**3/5 - 230082*p**2/5 - 769092*p/5 + 480168 = 0. What is p? -26, -5, 2, 19, 162 Let m**5/7 + 18523*m**4/7 + 16323150*m**3 + 234081775800*m**2/7 - 4009056228000*m/7 + 7080870960000/7 = 0. Calculate m. -6180, 2, 15 Find s, given that -2*s**2/13 - 14437704*s/13 = 0. -7218852, 0 Let 5*x**5/3 + 14323995*x**4 - 10*x**3/3 - 28647990*x**2 + 5*x/3 + 14323995 = 0. Calculate x. -8594397, -1, 1 Find l such that 4*l**2 - 20599068*l + 20599064 = 0. 1, 5149766 Suppose -d**3 - 15013*d**2 - 419487*d + 1393605 = 0. Calculate d. -14985, -31, 3 Solve 2*c**2 - 429508*c - 4724830 = 0. -11, 214765 Suppose -9*f**3 - 17652*f**2 - 76335*f - 23484 = 0. What is f? -1957, -4, -1/3 Suppose -a**4/10 + 3303*a**3/5 + 66127*a**2/10 + 109146*a/5 + 119088/5 = 0. Calculate a. -4, -3, 6616 Factor -2*n**4/7 + 76586928*n**3/7 - 977592923412864*n**2/7 + 4159491046596140524544*n/7. -2*n*(n - 12764488)**3/7 Find k such that 2*k**3/15 - 2792*k**2 + 6207768*k/5 - 2092890176/15 = 0. 226, 20488 Suppose -2*s**3/15 - 14034806*s**2/15 + 28069618*s/15 - 935654 = 0. Calculate s. -7017405, 1 Suppose 4*a**3 - 1383964*a**2 + 119704928060*a + 838002312028 = 0. What is a? -7, 172999 Solve -n**4/4 + 3*n**3 + 15723*n**2/4 + 273823*n/2 - 2685816 = 0. -73, 14, 144 Let -10*z**3 - 745328*z**2/5 = 0. What is z? -372664/25, 0 Factor 5*h**3 + 272915*h**2 - 1637670*h. 5*h*(h - 6)*(h + 54589) Solve 2*b**4/5 - 2014*b**3/5 + 29784*b**2/5 - 23104*b/5 - 698368/5 = 0 for b. -4, 8, 11, 992 Suppose 3*z**3/8 + 4983783*z**2/4 + 8279324459955*z/8 - 8279404200675 = 0. Calculate z. -1661265, 8 Solve -84*l**2 - 19588120*l + 1865536 = 0 for l. -233192, 2/21 Let 2*y**3 - 1494*y**2 - 3417476*y = 0. What is y? -986, 0, 1733 Let -942*t**3 - 8217*t**2 + 90384*t - 43020 = 0. What is t? -2390/157, 1/2, 6 Solve q**3 - 977*q**2 - 672549*q - 91451475 = 0. -249, 1475 Determine m so that 28*m**3/5 - 66908*m**2/5 - 1446952*m/5 + 848672/5 = 0. -22, 4/7, 2411 Determine a, given that -210*a**4 + 225515*a**3 + 252615*a**2 + 10765*a - 16125 = 0. -1, -1/3, 3/14, 1075 Determine m so that 155*m**5 + 85*m**4 - 24330*m**3 + 68040*m**2 = 0. -14, 0, 3, 324/31 Factor -4*a**2 - 807411288*a - 40744561749363684. -4*(a + 100926411)**2 Find h such that -h**3/2 + 2483157*h**2/2 - 4966308*h + 4966306 = 0. 2, 2483153 Factor -3*l**3 - 53724*l**2 + 3879792*l - 69906240. -3*(l - 36)**2*(l + 17980) Let p**4 - 164149*p**3 + 13125520*p**2 = 0. Calculate p. 0, 80, 164069 Factor 3*m**3 + 5190*m**2 - 26416029*m + 19057179936. 3*(m - 1231)**2*(m + 4192) Solve -1621298*p**4/5 - 6717268*p**3/15 + 5558098*p**2/15 - 925928*p/15 - 88/15 = 0 for p. -2, -11/115807, 2/7, 1/3 What is l in -3*l**4 - 346482*l**3 + 3*l**2 + 346482*l = 0? -115494, -1, 0, 1 Suppose -s**2 + 26758*s - 828537 = 0. What is s? 31, 26727 Find s, given that s**5/6 + 1439*s**4 + 6194859*s**3/2 - 37376658*s**2 = 0. -4323, 0, 12 Let -3*m**2 + 3966822*m + 79337640 = 0. Calculate m. -20, 1322294 Factor 2*x**3/7 - 11257794*x**2/7 + 2263178049600*x - 2263176441344. 2*(x - 2814448)**2*(x - 1)/7 Suppose -3*z**2 - 92904*z - 650181 = 0. What is z? -30961, -7 What is x in -3*x**4 - 627*x**3 + 51618*x**2 + 55968*x - 313344 = 0? -272, -3, 2, 64 Find u, given that 4*u**4/5 + 9976*u**3/5 + 99356*u**2/5 - 9976*u/5 - 19872 = 0. -2484, -10, -1, 1 Factor -2*y**2/3 + 12471380*y/3 - 19441914888050/3. -2*(y - 3117845)**2/3 Solve -800*t**4 - 9035720*t**3 - 5872862*t**2 + 406665*t/2 + 457407 = 0 for t. -11294, -9/20, 1/4 Solve -2*s**4 - 75424*s**3 + 26*s**2 + 980488*s - 905088 = 0. -37712, -4, 1, 3 Solve 3*y**4/2 + 28581*y**3 + 135888048*y**2 - 2454337536*y + 4364894208 = 0. -9536, 2, 16 Let 5*k**2 - 51026605*k + 51026600 = 0. What is k? 1, 10205320 Determine f, given that -3*f**5/8 + 51*f**4 - 2649*f**3/2 + 8064*f**2 - 11232*f = 0. 0, 2, 6, 24, 104 Find g, given that -4*g**2 - 22914864*g - 274977792 = 0. -5728704, -12 Factor -2*l**2/9 - 1915340*l/3 - 458565914450. -2*(l + 1436505)**2/9 Suppose -p**4/2 + 3234*p**3 - 103303*p**2/2 + 229074*p - 180656 = 0. What is p? 1, 7, 8, 6452 Suppose 44*y**4 + 2658109*y**3 + 12141714*y**2 - 5617841*y + 604070 = 0. What is y? -60407, -5, 2/11, 1/4 Solve 4*t**2 + 1703392*t - 3406800 = 0 for t. -425850, 2 Factor -5*k**2 + 124395*k + 243959310. -5*(k - 26706)*(k + 1827) Suppose -5*d**5 + 142350*d**4 - 1013318425*d**3 + 2025071200*d**2 + 7090667100*d + 4052135120 = 0. Calculate d. -1, 4, 14234 Let -q**4 + 969*q**3 + 62830*q**2 = 0. Calculate q. -61, 0, 1030 Factor d**2/3 + 899*d/3 - 128000/3. (d - 125)*(d + 1024)/3 Factor -3*a**3/2 - 56565*a**2/2 + 4333596*a. -3*a*(a - 152)*(a + 19007)/2 Factor 15*k**3 - 22257*k**2 + 150654*k. 3*k*(k - 1477)*(5*k - 34) What is i in -2*i**3/7 - 580*i**2/7 + 233458*i/7 + 15101460/7 = 0? -495, -58, 263 Find w such that -w**3/4 + 368989*w**2/2 - 737977*w/4 = 0. 0, 1, 737977 Determine d so that -36*d**4 + 2852*d**3 - 20756*d**2 - 18532*d + 5112 = 0. -1, 2/9, 9, 71 Factor -f**3 + 183154*f**2 - 8378832572*f - 688296349768. -(f - 91618)**2*(f + 82) What is x in -2*x**3/11 + 1982316*x**2/11 + 11893950*x/11 + 17840952/11 = 0? -3, 991164 Determine o so that 3*o**5
{ "pile_set_name": "DM Mathematics" }
the highest common divisor of b and 8. 8 Suppose 2*z + 33 = 3*h, 2*h = -4*z + 6 - 0. Let x = 11 + -8. What is the highest common divisor of x and h? 3 Suppose -4*j + 3*j - 52 = -4*g, 3*j = g - 13. Let q(k) = 3*k**2 + 1. Let p be q(1). Let i be (234/8)/(p/16). What is the greatest common divisor of i and g? 13 Let d = 1 - -2. Suppose 2*x + s = 34, 3*x - 14 - 23 = 2*s. What is the greatest common divisor of x and d? 3 Let q be 2/4 + 105/6. What is the highest common divisor of 12 and q? 6 Suppose 2*u = 11 - 9. What is the greatest common factor of u and 11? 1 Let o(j) = 3*j**3 - j**2 + j - 1. Suppose r - 3*r = 0. Suppose r = -2*f + f + 1. Let c be o(f). What is the highest common divisor of 4 and c? 2 Suppose -7*y + 68 = -3*y. Let p(c) = c + 136. Let n be p(0). What is the greatest common factor of n and y? 17 Let w be -112*(30/(-8) + (-16 - -19)). What is the highest common factor of 36 and w? 12 Suppose 92 = -0*l - 2*l. Let p = -21 - l. Suppose q - 50 = -4*q. Calculate the greatest common divisor of p and q. 5 Suppose -2*a = 4*u - 72, -4*a + 104 = -3*u + u. Let t(x) = 2*x**2 + x - 3. Let s be t(-5). Calculate the greatest common factor of s and a. 14 Let u be 4/10 - (-8)/5. Let f(l) = l**3 - 2*l**2 - 2*l + 3. Let j be f(3). Calculate the greatest common factor of u and j. 2 Let j be 78*3*(-4)/(-24). Let h = j - 21. Calculate the highest common divisor of 45 and h. 9 Let u(s) = s**2 - 2*s - 8. Let n be u(-4). Calculate the highest common divisor of 128 and n. 16 Let k(x) = -x**3 - 6*x**2 + 7*x - 26. Let q be k(-8). What is the greatest common divisor of q and 115? 23 Let g(v) = -v + 12. Let b be g(7). Let q be 1126/10 - 16/(-40). Suppose q - 338 = -5*w. What is the greatest common factor of b and w? 5 Let a be (-9)/(-15) + 84/(-15). Let w = a - -24. What is the highest common factor of 152 and w? 19 Let j = 1 + 8. Let o = 10 - j. Calculate the highest common factor of o and 7. 1 Let q(s) = s**2 - s + 27. Let h be q(0). Let a be 1190/130 + 4/(-26). What is the highest common factor of h and a? 9 Let t(x) = -x**3 - 3*x**2 + 5*x - 6. Let s be t(-5). Let w = s - 9. What is the highest common divisor of 10 and w? 10 Let x(l) be the third derivative of 8*l**5/15 + l**4/24 - l**3/6 - l**2. Let k be x(1). Calculate the greatest common factor of 4 and k. 4 Suppose 3*g = 0, 2*g + 18 = 4*v - 34. Suppose -x = 2*s - 19, -x - s - 2 = -18. Calculate the greatest common divisor of v and x. 13 Let j be ((-12)/(-1))/(3/10). Suppose 3*b - 5*l + 7 - 31 = 0, -5*b + 3*l + j = 0. Let f be 40/5 - (0 - 0). What is the highest common divisor of b and f? 8 Suppose w - 2*w - 3*a - 7 = 0, 3*w + a - 11 = 0. What is the highest common divisor of 10 and w? 5 Let s(w) = 9*w - 57. Let y be s(8). Let r(m) = m**3 + m**2 + 10. Let i be r(0). What is the greatest common divisor of i and y? 5 Suppose -2*h - 3*i + 33 = 0, -3*h + 9 = -4*i - 15. Suppose c + 5 = 3*f - 9, -c = 5. Let g be f/(-30)*4*-75. Calculate the greatest common factor of g and h. 6 Let v = 141 + -119. Calculate the highest common divisor of 110 and v. 22 Let y(q) = q**3 - 10*q**2 + 11*q - 2. Let j be y(9). Calculate the highest common factor of 128 and j. 16 Let t(l) = -l**2 - 16*l - 6. Let d be t(-14). What is the highest common factor of 88 and d? 22 Let i be 2 - (53 + 1 + -1). Let v = 81 + i. Suppose 4*a - 30 = 2*d, 4*a + 4*d + 9 = 21. What is the greatest common factor of v and a? 6 Let g = 88 - 32. Suppose 0 = -5*z + z + g. Let y be 394/4 - 1/2. Calculate the greatest common factor of z and y. 14 Let c(x) = -x + 6. Let o be c(-8). Let p be ((-14)/8)/((-3)/24). Calculate the highest common divisor of o and p. 14 Suppose -d = -5*j + 33, -2*d = 3*j - 25 + 78. Let i be d*(12/16 - 1). What is the highest common factor of i and 49? 7 Let r(k) = k**2 - 6*k - 11. Let u be r(9). Calculate the highest common factor of u and 40. 8 Suppose -4*m + q + 201 = -114, 2*m + 3*q - 175 = 0. Suppose -3*n = -8*n - m. Let r be 4/(-14) + n/(-7). What is the highest common factor of r and 14? 2 Let z(d) = -4*d**3 - 2*d**2. Let c be z(-2). Let t(i) = 263*i**2 + 2*i - 1. Let b be t(1). Calculate the highest common divisor of c and b. 24 Suppose 5*p = -0*w - 2*w + 385, -w - 2*p = -192. Suppose -152 = -2*y + w. Calculate the highest common factor of 19 and y. 19 Suppose 0*u + 3*u - 7 = -o, 4*o = u + 2. Let q(v) = -3*v. Let h be q(-2). Let d be 2/((h/5)/3). What is the highest common factor of u and d? 1 Let r = -19 - -26. Calculate the greatest common divisor of r and 35. 7 Let f be (-12)/(-3)*14/4. Calculate the highest common factor of 21 and f. 7 Let b(o) = 3*o - 3*o + 16 + 2*o - 3*o. Let v be b(7). Suppose -106 = -4*y + 38. What is the greatest common divisor of v and y? 9 Let l(z) = -z + 4. Let q be l(5). Let u be ((-16)/q)/(6/15). Suppose 3*x + 22 + u = 4*t, 5*t = -5*x + 60. Calculate the greatest common divisor of t and 98. 14 Let p(b) = -b**3 - 10*b**2 - 10*b + 4. Let l be p(-10). What is the greatest common factor of 13 and l? 13 Suppose -3*c - 4*p = -316, 4*c - 4*p + 6*p - 408 = 0. Let h be (75/12)/((-1)/(-4)). Calculate the greatest common divisor of h and c. 25 Let l = 80 + -55. Suppose 13 = 2*u + y, -2*u + 4*u = -2*y + 16. Calculate the greatest common factor of u and l. 5 Let f = -65 - -33. Let v be 8*2*(-72)/f. Calculate the greatest common divisor of 12 and v. 12 Let g = 124 + -258. Let y = -92 - g. Calculate the highest common divisor of y and 14. 14 Let x(c) = c + 32. Let j be x(-15). What is the highest common divisor of j and 119? 17 Let b be (2 + -6)*4/16. Let i be b + 1 + 24 - -2. What is the highest common factor of i and 13? 13 Let v be (-32)/12*3/2. Let m(x) = -3*x**3 - x**2 - 5*x + 2. Let c be m(v). Calculate the greatest common factor of 18 and c. 18 Let t(d) = -d**2 + 11*d + 41. Let f be t(8). What is the greatest common divisor of 39 and f? 13 Let a = 33 - -27. What is the greatest common divisor of 24 and a? 12 Suppose 0 = 3*g - 2*g - 3. Suppose -2*t = g*t - 70. What is the highest common factor of t and 7? 7 Suppose -2 - 7 = -3*v. Let n = 19 - v. Calculate the highest common divisor of 128 and n. 16 Suppose 0*k + k + 86 = 4*f, f = -2. Let w = -67 - k. Calculate the highest common factor of w and 18. 9 Suppose -22*m = -17*m - 45. Calculate the highest common divisor of 27 and m. 9 Let a(u) = 11*u**2 - 2*u + 1. Let j be a(1). What is the greatest common divisor of j and 290? 10 Let j = 4 + -4. Let q be (j - 2)/((-1)/36). What is the highest common divisor of q and 8? 8 Suppose -2*s = 2*s - 40. Suppose 2*v = -5*t + 4, 6*t + v = 3*t + 3. Suppose 0 = -t*d, 5*f - 2*f + d - 150 = 0. Calculate the highest common factor of f and s. 10 Suppose -5*t - 22 = 3*r, -2*t + 5*t + 26 = -5*r. Let z = -2 - -3. Let q be r/((-21)/18 + z). Calculate the greatest common factor of 6 and q. 6 Let x be 43 - 10 - 6/((-2)/(-1)). Let q = -12 + 32. What is the highest common factor of q and x? 10 Let x be ((-40)/(-30))/(4/126). What is the highest common divisor of 231 and x? 21 Suppose -3*m = -5*m + 22. Let j be 4/20 + 39/5. Let p = j - -3. What is the highest common factor of p and m? 11 Let v = -17 - -41. Suppose -v = -g - 3*g. Suppose -3*c = -g*c + 42. What is the greatest common divisor of 14 and c? 14 Let o be (39/(-12))/((-4)/16). What is the highest common factor of 91 and o? 13 Let p = 367 - 234. Calculate the greatest common factor of 19 and p. 19 Suppose -3*g + 129 = 3*o, g - 31 = -0*g - 5*o. Let r = 222 + -153. What is the greatest common divisor of r and g? 23 Suppose -4*k - 1 = -101. Suppose -l + k + 31 = 0. Calculate the greatest common factor of l and 7. 7 Let y be 1 + -1 + -2 - -200. Suppose -6*b = -60 + 12. Suppose 5*q - m - 97 = -b, -5*m = 3*q - 59. What is the highest common factor of q and y? 18 Let a = -2 - -10. Let i(x) = -x**2 + 8*x - 2. Let t be i(a). Let z(d) = -6*d - 3. Let g be z(t). What is the greatest common factor of g and 72? 9 Let f = 7 + -7. Suppose 3*p + 4*r + 352 - 1095 = f, 0 = -3*p + 3*r + 771. What is the highest common factor of 23 and p? 23 Let t = -8 - -16. Suppose 2 = -2*s - 2*a, 4*s + 2*a - 1 = 5. Calculate the greatest common divisor of t and s. 4 Suppose 0 = -2*m + 2*t + 28, -4*m + 6*m + 2*t = 8. Let u(l) = -l**3 + 7*l**2 - 5*l + 3. Let c be u(6). What is the highest common divisor of m a
{ "pile_set_name": "DM Mathematics" }
3*k + 57280 = -1204*k - 45*k for k. -40 Solve 79*t + 34*t = 34*t - 79*t - 10112 for t. -64 Solve -315*q + 1445*q = 464*q - 23976 for q. -36 Solve -2018*v = 905*v + 114915 - 12610 for v. -35 Solve -471*n - 19327 - 19794 = -8035 for n. -66 Solve 2173*h + 18313 = 185634 for h. 77 Solve 204*n + 175*n + 705*n + 12655 + 24201 = 0 for n. -34 Solve -80429 = -18*t - 81545 for t. -62 Solve -349*i - 79*i = 2301 + 4119 for i. -15 Solve 997*k + 1534*k - 15414 = 767*k + 51618 for k. 38 Solve -1109*r = -4248*r + 279371 for r. 89 Solve -3144 = -37*k - 29*k - 438 for k. 41 Solve 661*h - 1604*h + 34891 = 0 for h. 37 Solve 681*h = 102*h + 1737 for h. 3 Solve 0 = -8781*q + 9191*q + 16532 - 7959 + 11517 for q. -49 Solve 784*n = -8220 + 11356 for n. 4 Solve -140*s - 176 = -4516 for s. 31 Solve 99*q + 535*q = -227*q - 44772 for q. -52 Solve 137*i = -108*i - 150*i - 500*i - 4475 for i. -5 Solve -96*c + 789 = 120*c - 3568 - 3851 for c. 38 Solve 0 = -957*o - 1008*o + 58950 for o. 30 Solve -176*i - 153*i + 30690 = 150*i + 203*i for i. 45 Solve -595690*b = -594590*b + 63800 for b. -58 Solve -59*k = 50*k - 90*k + 103*k - 12078 for k. 99 Solve 0 = -86*z - 658*z + 22737 - 4881 for z. 24 Solve 147*m = 446*m + 269*m - 52256 for m. 92 Solve 146*y + 4611 = 1315 + 1281 - 3533 for y. -38 Solve 186*z - 744 = -97*z - 5165 - 11427 for z. -56 Solve 112*y - 119*y = -377*y - 120*y + 11760 for y. 24 Solve 95*y + 145 = -124*y - 5426 - 4503 for y. -46 Solve 72634 = -23540*h + 22425*h - 2071 for h. -67 Solve 100*m + 68*m - 1524 = -9252 for m. -46 Solve -70*c = -71 + 1961 for c. -27 Solve -22384*c + 24796*c = 19296 for c. 8 Solve 3318*s - 846 = 3341*s - 18 for s. -36 Solve 0 = -30203*w + 30855*w + 35208 for w. -54 Solve 91917 - 39252 = -4115*b - 148331 + 19936 for b. -44 Solve -1246*r - 19547 = -3638*r + 14720 + 51845 for r. 36 Solve 17462 = -468*p - 25126 for p. -91 Solve -140*j - 134*j + 13037 + 2855 = 0 for j. 58 Solve -1856*l + 5014*l + 342613 = -2649*l for l. -59 Solve 0 = -336*o - 172*o + 19304 for o. 38 Solve -2006*d + 3173*d + 20864 = -17647 for d. -33 Solve -769*b = -3885*b - 155800 for b. -50 Solve 343*s - 4080 = 1159*s for s. -5 Solve 307*b = -344*b - 939*b - 74730 for b. -47 Solve 439*g + 10358 - 5463 = -6080 for g. -25 Solve -10355*h - 247660 = 591095 for h. -81 Solve 0 = -865*i - 1577*i - 38802 + 21261 - 43509 for i. -25 Solve -299*f + 6722 - 2027 = -8162 for f. 43 Solve 132*d - 3179 + 241 - 362 = 0 for d. 25 Solve -350*m = -444*m - 282 for m. -3 Solve 3733*s = 879*s - 311086 for s. -109 Solve -7042*l + 4787*l = 8718*l + 20747 + 516930 for l. -49 Solve 0 = 666*o - 462*o + 642*o + 283*o + 42902 for o. -38 Solve 0*k + 94 = -21*k + 11*k + 494 for k. 40 Solve 9034*j = 9016*j + 810 for j. 45 Solve 0 = -1373*z + 19651 - 8802 + 27595 for z. 28 Solve -21205*q - 750597 - 1094238 = 0 for q. -87 Solve 317*n - 5066*n = 736*n + 1871*n - 691464 for n. 94 Solve -605 = -17013*k - 16926*k + 33884*k for k. 11 Solve 0 = 6066*z + 1360*z + 2826*z + 704*z + 1106556 for z. -101 Solve -6945 + 10906 + 10999 = -374*a for a. -40 Solve -69088 - 113402 = 2607*f for f. -70 Solve -72352 = 20054*v - 21958*v for v. 38 Solve 10784 = 983*x + 25434 + 12874 for x. -28 Solve 93*f + 455*f - 31519 = 33*f - 218*f for f. 43 Solve 11*p = -72*p - 76*p + 4929 for p. 31 Solve -20*l = 11*l - 183 - 33 - 1 for l. 7 Solve 10850*o = 11011*o + 1449 for o. -9 Solve 35365 = -2762*s - 264*s - 50855 - 43898 for s. -43 Solve -1527*b - 2420*b + 2018*b = 2411*b + 247380 for b. -57 Solve 7270*m - 36288 = 21872 for m. 8 Solve 1753*d + 22974 = -377*d - 59794 + 3958 for d. -37 Solve -9497*q + 250 = -9447*q for q. 5 Solve -18003*u + 24510 = -18648*u for u. -38 Solve -534892*j = -534921*j - 812 for j. -28 Solve 1706*r = -2198*r - 108*r + 138303 + 66309 for r. 51 Solve -263*d = 160 - 5755 - 1243 for d. 26 Solve 7400 - 9058 = -16*z - 150*z + 14942 for z. 100 Solve -6846*k = -7489*k - 25077 for k. -39 Solve -5185*h - 3606*h + 167373 + 171540 = -381949 for h. 82 Solve -1044 + 3211 = -135*d - 1212 - 5126 for d. -63 Solve 401*b - 3629 - 1256 = 336 + 1997 for b. 18 Solve 109*k - 171*k = -95*k - 111*k - 1872 for k. -13 Solve -81*o - 8374 = -1845 + 14 + 4635 for o. -138 Solve 14283*o + 1161 = 14154*o for o. -9 Solve 348*i + 872*i + 1041*i = 609*i - 151984 for i. -92 Solve -233*p - 68*p - 4983 - 11357 = 5332 for p. -72 Solve -15015 = 3157*b - 3542*b for b. 39 Solve -463*w - 815 = -139*w - 161*w for w. -5 Solve 583*b - 11824 = 24345 - 2355 for b. 58 Solve 184*q - 19743 = -53*q - 4140 + 2172 for q. 75 Solve 14122 = 6*d + 13966 for d. 26 Solve 163*k - 519 + 993 = -523 - 2752 for k. -23 Solve 474*j = -4040902 + 4082140 for j. 87 Solve -2130*q = -114*q - 80640 for q. 40 Solve 4*z + 0*z = -4*z + z - 259 for z. -37 Solve -1648 + 1535 = 431*w - 410 + 20985 for w. -48 Solve -193*y - 3626 = -2204 + 3210 for y. -24 Solve 77*d - 26 = -17 - 9 for d. 0 Solve -1877 = -4000*s + 3764*s + 955 for s. 12 Solve 41*v = 3315 - 1429 for v. 46 Solve -322634 = 11269*d + 229547 for d. -49 Solve -874652 + 874283 = 41*c for c. -9 Solve -8999 = -103*m - 14015 + 12123 for m. 69 Solve 0 = -1171*o + 1175*o + 52 for o. -13 Solve 23*w = 5196265 - 5197116 for w. -37 Solve -12220 + 11520 = -2018*i - 11901 - 27141 for i. -19 Solve 4230 = 205*y - 4275 - 310 for y. 43 Solve 122*v + 17*v - 22*v - 8911 + 2359 = 0 for v. 56 Solve -3334 = 406*o - 2116 for o. -3 Solve -3179*o = -1731*o + 3627*o + 133947 + 312653 for o. -88 Solve 69*d - 202*d = 286*d + 838 for d. -2 Solve 2*b - 95*b = -3468 + 771 - 1302 for b. 43 Solve 2439*q - 115*q + 70*q - 197243 = 118765 for q. 132 Solve 128*r - 21168 = 76*r - 206*r - 78*r for r. 63 Solve -1930*w + 38857 = 1976 - 42249 for w. 41 Solve -782*a - 6419 = 135*a for a. -7 Solve 6319*g + 248731 = -136728 for g. -61 Solve -52920 - 75096 = 8001*w for w. -16 Solve -4*r + 49*r - 13073 = -9068 for r. 89 Solve 484*l + 56832 = -754*l - 538*l for l. -32 Solve 5064 = -153*x - 1852 + 2780 - 8869 for x. -85 Solve -8*w + 1275*w + 1290*w - 154990 = 1148*w for w. 110 Solve 1380*x = 3714*x + 21006 for x. -9 Solve 52067*v = 51995*v + 4896 for v. 68 Solve 2755 - 8369 = -484*z - 33202 for z. -57 Solve -18*j - 2452 + 1597 = -3*j for j. -57 Solve 10800 = -294*n + 1686 for n. -31 Solve 898*l - 563*l - 16884 = 2881 for l. 59 Solve 0 = 7132*u - 34884 - 776 for u. 5 Solve -90*a - 421*a = 66*a + 68086 for a. -118 Solve 780*p + 396*p = -7189 - 39851 for p. -40 Solve 243*j + 8773 + 2861 = 6528 - 8988 for j. -58 Solve -660*g = -706*g + 815*g + 1498*g + 31738 for g. -14 Solve 0 = -7616*u + 6859*u + 20439 for u. 27 Solve 612*z - 756*z - 288 = 0 for z. -2 Solve -5748*a - 160920 = 2298*a for a. -20 Solve 47*u = -82*u + 61*u - 5168 for u. -76 Solve -5701*t - 157 = -1560*t - 6400 - 22744 for t. 7 Solve 2660*n - 201254 = -1622*n for n. 47 Solve -65*b + 61*b = -82*b - 4836 for b. -62 Solve -132*q + 218*q - 22737 = -114*q - 229*q for q. 53 Solve -13*x - 146473 + 147539 = 0 for x. 82 Solve 63719 = 130*x + 74249 for x. -81 Solve 2351 = 97*o - 175*o - 79*o - 1574 for o. -25 Solve -12*c + 705 - 2198 = -676 - 745 for c. -6 Solve -2325*q + 23877 - 4948 - 1492 + 43013 = 0 for q. 26 Solve 0 = 630*y + 10866 + 8261 - 6527 for y. -20 Solve 464*o - 24461 = 8307 + 20004 - 2196 for o. 109 Solve 156*x + 16500 = -131*x - 373*x for x. -25 Solve -684*m - 921 - 27 - 4234 = 3026 for m. -12 Solve 19*d - 13*d + 234 = 4*d + 8*d for d. 39 Solve -1025*n + 25040 + 66185 = 0 for n. 89 Solve 23798 = -11588304*j + 11588630*j for j. 73 Solve 62*c + 122*c - 8256 = -74*c for c. 32 Solve -2177*q - 199166 = 2344*q + 293623 for q. -109 Solve 26948 = 614*h + 7914 for h. 31 Solve 3209779*k - 3208815*k = -61696 for k. -64 Solve 0 = 79*n + 139*n + 21146 for n. -97 Solve 6544*o = 6696*o - 7600 for o. 50 Solve -183*b + 43 + 4333 = -99*b + 596 for b. 45 Solve 290*u + 66*u + 459*u = -59630 + 18880 for u. -50 Solve 111 = 7212*o - 7101*o for o. 1 Solve -7432*c - 1628 = 7456*c - 14851*c for c. -44 Solve 0*x + 2335 = -59*x - 25 for x. -40 Solve 6554 + 2253 - 1393 = -98*k + 162 for k. -74 Solve -4859369*g + 4859864*g = -41085 for g. -83 Solve 7457 = 124*g - 1415*g - 20386 + 7187 for g. -16 Solve -44*l + 22*l + 13186 = -203*l + 1602 for l. -64 Solve -98*o = 4691 - 869 for o. -39 Solve -4402*z + 4277*z - 5625 = 0 for z. -45 Solve 2355 = 709*t -
{ "pile_set_name": "DM Mathematics" }
give y. -4 Express 2*z**2 + 10 - 13 + z**3 + 0*z**3 + 2 as p*z**2 + r*z + s + c*z**3 and give s. -1 Rearrange (5*r - r + 2*r)*(-5*r - 266 + 3*r + 289) to n + v*r + t*r**2 and give v. 138 Rearrange -2*p**2 - 5*p + p**2 + 5*p + 3*p**3 to a*p**2 + u*p + d*p**3 + b and give a. -1 Express -3*a**2 + 3*a**2 + a - 6*a**3 - 1 in the form t*a + j*a**2 + k + q*a**3 and give q. -6 Express (-3*g + 4*g + g + 1)*(-42*g + 15*g - 8*g) as x*g**2 + k + d*g and give d. -35 Rearrange (-3*b + 2*b + 3*b)*(b**2 - b + b) + 2225*b**3 + 2*b - 2713*b**3 - 2*b to p*b + w + l*b**2 + f*b**3 and give p. 0 Rearrange -202 + 44*o**2 + 202 to the form h*o**2 + m + w*o and give m. 0 Rearrange (4 - 5 - 3)*(-6*g**2 - 2 + 2) to the form b + z*g**2 + o*g and give z. 24 Rearrange 2*p**3 - 4*p**3 + 5*p**2 + 2 + p**3 to the form d*p**3 + v*p**2 + h + s*p and give s. 0 Express 13 + 12*x**3 - 27*x**3 + 13*x**3 as q*x**2 + f*x + j + o*x**3 and give o. -2 Rearrange -12 + 6*f + 12 + (-f + 2*f + f)*(-4 - 1 + 6) to t*f + n and give t. 8 Rearrange 37*h - 21*h + 71*h + 38*h to the form k + n*h and give n. 125 Rearrange (-2 + 0 + 3)*(274*s + 238*s - 576*s) to the form h + z*s and give z. -64 Express -2*h**4 + 92*h**3 - h**2 - 2*h + 3*h**4 - 90*h**3 in the form z*h + u + i*h**4 + r*h**3 + a*h**2 and give z. -2 Rearrange -30*k + 0*k**3 + 29*k + 2*k**3 + 6 to the form u*k**2 + r + j*k + v*k**3 and give v. 2 Express (0 + t + 0)*(-3*t**2 + 3*t**2 - t**2) + 4*t**3 - 5*t**3 + 0*t**3 + (15 - 15 + 6*t**2)*(0*t - t + 0*t) in the form z*t**2 + d*t**3 + v + j*t and give d. -8 Rearrange 1 - 1 - 11*k**4 - 3*k**2 + 2*k**4 + 3*k**2 + (-2 + 3 + 1)*(0 + 0 + k**4) to f*k + b + c*k**4 + o*k**3 + i*k**2 and give c. -7 Rearrange (-3 + 2 + 2*f + 2)*(-2 - f**2 + f**3 + 2) to the form l*f**3 + n + o*f**2 + s*f**4 + u*f and give s. 2 Rearrange -14 - 12 + 23 + 2*d**3 + 4*d**2 - 2*d to q*d**3 + g*d**2 + l + n*d and give n. -2 Rearrange 2 + 4*q + q - 16 + 0*q to the form j*q + k and give k. -14 Rearrange 2*p**3 - 2 - p - 5*p**4 - p**4 - 2*p**3 to z*p**3 + v*p**2 + n*p + u*p**4 + b and give n. -1 Rearrange (27*d - 31*d - 4 + 3)*(-5 + 2 + 1)*(-2 + 3 - 3) to the form z + t*d and give t. -16 Rearrange (0*f - 4*f + f)*(2*f - 4*f + 3*f) - f**2 + 2*f**2 + 0*f**2 - 5*f**2 + 10*f**2 + 7*f**2 to s*f**2 + o + k*f and give s. 10 Rearrange 2*s + 3*s - 6*s + s**2 to the form p*s**2 + r*s + n and give p. 1 Rearrange 0*o**2 + o**2 + 2*o**3 + 3 + 5 - 3*o**2 to c*o + y + k*o**3 + w*o**2 and give k. 2 Express (-19 - x + 0*x + 16)*(-2*x**2 + 2*x - 2*x - 1) in the form l*x**3 + d*x + k + v*x**2 and give d. 1 Express (4*u - 3*u + 3*u)*(-4*u + 5*u - 3*u) + (0 + 2 - 1)*(-u**2 + u**2 + 2*u**2) - 4*u**2 + 4*u**2 + u**2 in the form s*u + g*u**2 + d and give d. 0 Rearrange (-3 + 2 - 1)*(7*q + 0*q - q)*(5 - 3 - 3)*(0 + 1 - 2) to the form p + t*q and give t. -12 Express -2 - 2*w**3 + 4*w**3 + w**3 - w**3 + w**2 in the form h*w**3 + n*w**2 + y + l*w and give l. 0 Rearrange 19*r**2 + 28*r**2 + 2*r - 61*r**2 to the form n*r**2 + k + w*r and give n. -14 Rearrange 3*s + 0*s - 2*s + (-3 + 2 - 3)*(-s + 4*s - 5*s) to f*s + w and give f. 9 Express 0*h**3 + 2*h**3 + 2 + h - 6*h**3 - 2*h**3 in the form a + x*h**3 + i*h**2 + u*h and give u. 1 Express 14*x**2 - 59*x**2 + 20*x**2 as z*x**2 + d + n*x and give z. -25 Rearrange 20 - 13 + 13*b - 7 to the form c*b + j and give c. 13 Rearrange 8*a**2 - 2*a**2 - 4*a**2 - 26 + 19 to the form d + j*a + n*a**2 and give d. -7 Express 8*m**2 - 8*m**2 - 5*m**2 + 4 as a*m**2 + u + f*m and give a. -5 Rearrange -65*y - 53*y - 57*y + 76*y to the form g + m*y and give g. 0 Rearrange -3*l + 3*l - 19*l**4 + 4*l - 4*l - l**4 + (2*l**3 - 2*l**3 + 2*l**3)*(-l - 3*l + 2*l) to the form h*l**3 + c*l**2 + r*l**4 + q + p*l and give r. -24 Rearrange -20*k + 11*k - 12*k**2 + 13*k to the form o*k + z + f*k**2 and give f. -12 Express 0*b - 2*b**4 - 5*b**2 + b**2 + 3*b + 2*b**2 - 1 as i*b + v + p*b**4 + u*b**3 + s*b**2 and give v. -1 Express 4 + 12*o**2 - 13*o + 6*o + 7*o in the form q*o + a*o**2 + d and give a. 12 Express 0 + 33*z**3 + 2 - 32*z**3 + 0 in the form h*z + i + s*z**3 + r*z**2 and give s. 1 Rearrange (-7*f - 2*f - 5*f)*(-1 - 1 + f + 1) to t + o*f**2 + i*f and give o. -14 Rearrange (0*n - 24*n + 3*n)*(-6*n**2 + 0*n**2 + 5*n**2 + 5) to the form w*n + s*n**3 + d + o*n**2 and give w. -105 Express (6*m**2 - m**2 - 3*m**2)*(-m + 2*m + 2*m) + (-5*m**2 + 5*m**2 - 2*m**2 + 2*m - 1)*(-6*m + m + 3*m) in the form d + s*m**3 + f*m**2 + i*m and give s. 10 Rearrange (-13*d - 5 + 5)*(0*d + 0*d - 2*d) + (-d + 2*d + d)*(-2*d + d + 3*d) - 2*d**2 + 2*d**2 + d**2 to the form p*d**2 + o + k*d and give p. 31 Express (-2 + 1 + 2)*(2 - 1 + 1)*((-4 + 6 - 4)*(-3*k + 4*k - 2*k) - 9*k + 49*k - 10*k) as x + h*k and give h. 64 Express 3*a - a - 5*a - 2*a**2 + 27*a**3 in the form i + j*a**2 + t*a**3 + w*a and give t. 27 Express (-4*v + 0*v + 2*v)*((2*v + 0*v - 3*v)*(-5*v + 4*v + 0*v) + v**2 + v - v - 6*v**2 + 2*v**2 + 3*v**2) as u*v**3 + j*v + c*v**2 + k and give u. -2 Express -17 + 37 + 0*c**2 + c**2 - 19 - c + 2*c**4 - c**3 in the form a*c**2 + w + t*c**4 + y*c**3 + d*c and give d. -1 Rearrange (4*z - z - z)*(5 + z**3 - 5 + (z + 2*z - 4*z)*(-5*z**2 + 4*z**2 - z**2)) to v*z + o*z**2 + a*z**4 + x + m*z**3 and give a. 6 Rearrange -13*b**3 + 2*b**4 - 19 + 3*b**3 + 5 + 11*b**3 to the form w*b**3 + o*b + f*b**2 + y + u*b**4 and give y. -14 Rearrange -l**3 - 2 + l**2 - 1 - 4*l + 5*l + 2 to z*l**3 + k + g*l**2 + x*l and give g. 1 Rearrange (-4*q - 2*q + 4*q)*(17 + 16 + 3) to l*q + h and give l. -72 Express (6*m - 3*m - m)*(1 + 0 - 2) + 4*m - 6*m + 3*m - 2*m + 1 + 9 - 2 - 4*m - 4 + 3 - m in the form r*m + t and give r. -8 Express -7 + 5*v**2 + 10*v**2 + 7 - 2 as b + u*v**2 + p*v and give u. 15 Express -15*u**2 + 8*u**2 - 2*u + 8*u**2 - 4*u**3 in the form a + b*u + h*u**2 + j*u**3 and give b. -2 Rearrange 21*u + 13*u + 36 - 55*u + 20*u to the form y + s*u and give y. 36 Express -2 + 3*v + 2 + 10*v as x + n*v and give n. 13 Rearrange -177*r + 177*r - r**2 - 97 to the form t*r**2 + x*r + d and give d. -97 Express 2*x**4 - 9*x**4 - x**4 + (-x**2 - x + x)*(-2*x**2 - 3*x**2 + 3*x**2) + 2*x**4 + 0*x**2 + 0*x**2 as p*x**4 + g*x**3 + b*x**2 + c*x + v and give p. -4 Rearrange -p**3 + 5*p**2 - 1 + 0*p**2 - 5*p**2 to the form s*p + c + d*p**2 + f*p**3 and give f. -1 Rearrange (-3 + 3 - d)*(2 + 1 - 4)*(-10*d + 21*d + 6*d) to the form q*d + a + u*d**2 and give q. 0 Rearrange -3*k**4 + k - 31*k**2 + 2 + 31*k**2 - 52*k**4 to d*k + q*k**2 + u*k**4 + j + w*k**3 and give d. 1 Express 58 - 8*r**2 - 58 in the form w + n*r + k*r**2 and give k. -8 Rearrange 0*j - 2*j**3 + 0*j - 3 + 2*j**3 + 3 + (0 - j**2 + 0)*(-2*j + 2*j - j) - 1441 + 1441 + 38*j**3 to i + l*j**3 + z*j + n*j**2 and give l. 39 Express -2 + 4*s**3 - 5*s**3 + 15*s**4 + s**2 - 22*s**4 + 2*s**3 as d*s**3 + k*s**2 + z + x*s + a*s**4 and give d. 1 Rearrange -w**2 + w + w + 2*w + 3*w**2 to the form u*w + x + c*w**2 and give c. 2 Rearrange -2*c + 4*c - c + (-2 + 1 + 2)*(2*c - 3*c - c) - 8*c - 16*c + 91*c to the form w*c + n and give w. 66 Rearrange n**2 + 2*n**3 + 4*n**2 - n + 0*n**3 - 4*n**2 to m + z*n**3 + j*n + y*n**2 and give j. -1 Rearrange -65*u - 57*u + 101*u to the form a + z*u and give z. -21 Rearrange -8*p**2 - p**2 + 6*p**2 to f*p + n*p**2 + h and give f. 0 Express (-2 - 2 + 2)*(4*j + j + 0*j + (-2*j + 2 - 2)*(-3 + 4 - 2) + 3 - 3 - j) in the form g + v*j and give v. -12 Rearrange 10*o**3 - 17*o**2 - 4*o**3 - 8*o**3 to the form h*o**2 + x + t*o**3 + v*o and give h. -17 Rearrange -4*g + 2*g - g + ((g + 2 - 2)*(-4 + 1 + 1) - 2*g + g - g)*(-3 - 4 - 5) to l + i*g and give i. 45 Rearrange (-17*d + 17*d + 3*d**2)*((4 + 0 - 2)*(4 - 2 - 4) - 2 + 0 - 2 + (0 - 1 + 3)*(0 + 3 - 4) + 0 - 4 + 6) to v + b*d**2 + z*d and give b. -24 Express q**3 - 2 - 2 + 165*q**2 + q**4 - 165*q**2 in the form o + d*q + l*q**2 + f*q**4 + n*q**3 and give f. 1 Rearrange -14*n + 11*n + 6*n to j + h*n and give j. 0 Rearrange -2*d**2 - d**3 - 5 + 3 - 3*d**3 to n + u*d**2 + h*d**3 + r*d and give u. -2 Express (-4 - 2 + 5)*(2 + 193*r**4 - 2 + 44*r**4) as i*r + l*r**4 + m*r**2 + a + p*r**3 and give l. -237 Rearrange (2*p**2 + 0*p**2 + 0*p**2)*(4 + 1 + 1)*(-4*p - 3*p + 5*p) + 0*p**2 + 0*p**2 + 4*p**3 to the form q*p**3 + h*p**2 + k + f*p and give q. -20 Express -2*s
{ "pile_set_name": "DM Mathematics" }
st the prime factors of i(10). 3, 61 Let u(q) = -q**2 - 17*q - 1. Suppose 24*t = 26*t. Suppose t = 2*a - 7*a - 75. What are the prime factors of u(a)? 29 Suppose -50*x + 24*x = -38090. List the prime factors of x. 5, 293 List the prime factors of (-1526)/(-6) + 40/6 + -7. 2, 127 Suppose 15*o = 20*o - 2*a - 60, 4*a = 0. What are the prime factors of o? 2, 3 Let z = -11 - -8. Let q(l) = 7*l**2 + 3. List the prime factors of q(z). 2, 3, 11 What are the prime factors of ((-175)/(-70))/(15/1494)? 3, 83 Let d(u) = 4*u + 5 - u + 4*u + 2. List the prime factors of d(3). 2, 7 Suppose -714 = 115*a - 122*a. List the prime factors of a. 2, 3, 17 Let a(t) be the first derivative of -t**2/2 + 9*t + 2. Let z be a(0). List the prime factors of (-75)/z*6/(-2). 5 Suppose 4*f = -4*p + 4, 2*f - 1 = -3*p - 3. Suppose 0 = 4*k + i + 3 + 6, 2*k + f*i + 27 = 0. List the prime factors of 12/(-9)*21/k. 2, 7 Let u = 3120 - 761. List the prime factors of u. 7, 337 Let k(z) = 3*z - 28. Let g be k(9). What are the prime factors of (g/(-1))/((-1)/(-146))? 2, 73 Suppose 2 + 1 = x. Suppose -4*r = -j + 21, -43 = 3*r - x*j - 16. List the prime factors of -23*(-5 - r - 1). 2, 23 Let u(s) = 273*s**2 - 15*s - 14. What are the prime factors of u(-1)? 2, 137 Let l = -7 - -14. Suppose l = 2*x + 3. Suppose x*h - 28 = 16. List the prime factors of h. 2, 11 Let f(h) = h**2 - 11*h + 8. Let d be 1 + (-2)/(-4)*22. Let c be f(d). Suppose -w - 4*w - c = 0, 4*k + w = 12. List the prime factors of k. 2 Let x = 2060 + -817. List the prime factors of x. 11, 113 Let x(d) = 81*d**2 - 34*d + 67. What are the prime factors of x(2)? 17, 19 Suppose a - 4*l + 18 = 2*a, a - 3*l + 3 = 0. Suppose a*t - 5*t - 2 = 0. Suppose 0 = t*r - 19 - 33. What are the prime factors of r? 2, 13 Suppose -7*q = 5776 - 16122. What are the prime factors of q? 2, 739 Suppose -3*n = -0*n. Let z(j) = -5*j - 47. Let w(q) = -6*q - 48. Let d(m) = 6*w(m) - 7*z(m). List the prime factors of d(n). 41 Suppose -3*o + 3 + 3 = 0. Suppose 3*x - 42 = 2*x - o*d, -2*x - 5*d = -88. List the prime factors of x. 2, 17 Let d = -923 - -1364. Suppose 0*b + 3*b - d = 0. Suppose -4*o + 102 = -m + 4*m, -5*m + o = -b. List the prime factors of m. 2, 3, 5 Let f = -2651 + 4559. List the prime factors of f. 2, 3, 53 Suppose -19*f - 12 = -15*f. Let c(d) = -3*d**3 + 2*d**2 - 5*d - 4. What are the prime factors of c(f)? 2, 5, 11 Suppose -32*k + 5521 = -141167. List the prime factors of k. 2, 3, 191 Let p be (-1*(-2 + -8))/(1/(-4)). List the prime factors of 16/p + 5/((-50)/(-624)). 2, 31 Suppose -14*g = 2*g - 12432. What are the prime factors of g? 3, 7, 37 Let y = -72 + 42. Let m = y + 68. What are the prime factors of m? 2, 19 Let k(a) = 22*a + 2 + 3*a**2 - 5*a - 2*a**2. What are the prime factors of k(-20)? 2, 31 Let h(n) = -n**3 + 12*n**2 + 17*n - 28. What are the prime factors of h(10)? 2, 3, 19 Let s(z) = 85*z**3 - 5*z**2 - 6*z + 4. Let h(y) = -84*y**3 + 4*y**2 + 5*y - 3. Let d(k) = 4*h(k) + 3*s(k). List the prime factors of d(-1). 2, 5 Let v be 7/35 - 39/(-5). Let a = v - 5. Suppose f - a = 10. What are the prime factors of f? 13 Let p = -85 + 52. Let i = 109 + p. List the prime factors of i. 2, 19 What are the prime factors of ((-189)/(-36))/21*(2 + 12266)? 3067 Let i(o) = -10*o + 18. Let l(p) = -1. Let n(k) = -i(k) - 5*l(k). What are the prime factors of n(7)? 3, 19 What are the prime factors of ((-5)/((-30)/(-4086)))/(3/(-15))? 3, 5, 227 Suppose -1151 = -14*h + 1397. List the prime factors of h. 2, 7, 13 List the prime factors of (7/2 - 2)/(144/14784). 2, 7, 11 Let t(y) = 18*y - 109. What are the prime factors of t(14)? 11, 13 Let q = 3 + -3. Suppose -u + 4*k + 6 = u, u + k = q. List the prime factors of u/2*(13 - 7). 3 What are the prime factors of (152/(-20))/((-38)/16435)? 19, 173 Suppose 2*b - 31 = -j - 4*j, -5*j = -15. Suppose -5*m + 7 = -b. Suppose -14 = -2*d - m*g, -2*g - 25 = -5*d + 10. What are the prime factors of d? 7 Let c = 39 + -39. Suppose 3*q - 377 + 95 = c. What are the prime factors of q? 2, 47 Suppose -20*b = -13*b - 1008. List the prime factors of b. 2, 3 Let d = -13 + 16. Suppose 4 = -3*u + 2*v, d*u - v + 4 = 2. Suppose -4*p + 2*i + 224 = 0, u = 2*p + p + i - 173. What are the prime factors of p? 3, 19 Let t(o) = o**3 - 17*o**2 - 4*o - 9. What are the prime factors of t(18)? 3 Let z = 2455 + -1180. What are the prime factors of z? 3, 5, 17 Let n(i) = 125*i - 1. Let d be -3 + 6 + (3 - 5). List the prime factors of n(d). 2, 31 Let k(s) = -7. Let u(l) = l + 6. Let j(x) = -6*k(x) - 7*u(x). Let c be j(2). Let h = c + 44. What are the prime factors of h? 2, 3, 5 Let w = -20 - -1. Let b = -16 - w. Suppose -130 = -b*s + 77. What are the prime factors of s? 3, 23 Let r(w) be the third derivative of -w**6/120 - w**5/12 - w**4/24 + 11*w**3/6 - 5*w**2. What are the prime factors of r(-5)? 2 Suppose -4*p - 2915 = -5*t, -p + 2311 = -t + 5*t. What are the prime factors of t? 3, 193 Suppose -17495 - 3915 = -10*g. List the prime factors of g. 2141 Suppose -16*v = c - 21*v - 850, 0 = -2*v - 2. List the prime factors of c. 5, 13 Suppose -128*i + 125*i = 0. Let f be ((-3)/2)/(6/(-112)). Suppose -2*n + i*n = -f. What are the prime factors of n? 2, 7 Let q = 584 - 430. List the prime factors of q. 2, 7, 11 Let l = -644 + 1102. List the prime factors of l. 2, 229 Let k(s) = s**2 + 13*s + 13. Let w be k(-12). Let q be ((-285)/(-10))/(w/4). Suppose 5*b + 130 = 5*g, 3*g + g - 2*b - q = 0. List the prime factors of g. 31 Let l be (-1 + -2)/((-3)/(-105)). Let f = -64 - l. List the prime factors of f. 41 Let g(o) be the third derivative of o**5/20 + o**4/3 - 13*o**3/6 + 24*o**2. List the prime factors of g(-10). 3, 23 Suppose -2*v - 2*g + 582 = 0, 3*g - 13 = 2. Suppose -79 = -5*m + v. Suppose m + 37 = 5*x. List the prime factors of x. 2, 11 Let s(a) = a**2 + 12*a - 26. List the prime factors of s(-33). 23, 29 Let g(x) = 20*x**2 - 9*x - 1. Suppose 5*s + 31 = -5*j + 8*s, 0 = -4*j - 2*s - 16. Let d be g(j). Suppose -d = -5*a - 154. What are the prime factors of a? 2, 3, 13 Let b(x) = -x - 14. Let m be b(-6). Let q(z) = -z**3 - 6*z**2 + 11*z + 10. List the prime factors of q(m). 2, 5 Suppose 6*a = 2*a - 160. What are the prime factors of (124/16)/((-5)/a)? 2, 31 Let h(d) = d - 1. Let u(q) = q**3 + 12*q**2 + 15*q + 14. Let j(n) = 2*h(n) + u(n). What are the prime factors of j(-10)? 2, 3, 7 Suppose 0 = -5*r - 4*u - 61, u + 2*u = 2*r + 29. Let b(g) be the first derivative of -g**3/3 - 7*g**2 + g + 9. List the prime factors of b(r). 2, 7 Let q(s) = 29*s + 10. Let c be q(2). Suppose 3*r - 4*v - 236 = -0*v, 0 = r - 4*v - c. What are the prime factors of r? 2, 3, 7 Suppose -3*x = 5*b - 517, 7*x - 2*x = -5. Suppose 154 + b = 6*c. What are the prime factors of c? 43 Let d = -9 - -9. Suppose -3*a = -d*a - 33. Suppose -19 = -a*x + 10*x. List the prime factors of x. 19 Suppose 27 = 3*l - 9. Let p be -1 - (-2 - -4 - 14). Let q = l + p. What are the prime factors of q? 23 Let c = -7682 + 11319. List the prime factors of c. 3637 Let y(n) = n. Let g(d) = -56*d + 2. Let u(x) = g(x) - 2*y(x). Let s be u(1). Let p = s - -78. List the prime factors of p. 2, 11 Suppose 163*s - 166*s + 10596 = 0. What are the prime factors of s? 2, 883 Suppose 8*n = 3*n - 5*a + 15, 4*n - 5*a - 21 = 0. Suppose -n*y + 3*q = -89, 5*q = y - 0*y - 35. What are the prime factors of y? 2, 5 Suppose 0 = o + 2, -5*p + 3635 + 4115 = -5*o. List the prime factors of p. 2, 3, 43 Let o = 61 - -292. What are the prime factors of o? 353 Let q = 141 - 167. Suppose 0 = -3*m + 3*b + 81, -4*m + 0*b + 5*b + 106 = 0. Let u = q + m. What are the prime factors of u? 3 Let d(n) be the second derivative of -n**3/2 + 9*n**2/2 - 11*n. List the prime factors of d(-5). 2, 3 Suppose 0 = -8*x + 6*x - 2. Let b = -1 - x. Suppose b = o - 13 - 8. What are the prime factors of o? 3, 7 Suppose -13075 + 3015 = -20*w. List the prime factors of w. 503 Suppose -964 = -4*d + 736. List the prime factors of d. 5, 17 Suppose -12*x - 5*x + 6001 = 0. What are the prime factors of x? 353 List the prime factors of 7/(-7)*-498 + -7. 491 Suppose 57 + 98 = -5*s. Let g(p) = 5*p**2 + 8*p + 10. Let q be g(-4). Let n = q + s. What are the prime factors of n? 3 List the prime factors of (-3016)/(-156)*(40 - 1). 2, 13, 29 Suppose -3*v + 20 = -0*v + 5
{ "pile_set_name": "DM Mathematics" }
r of 10 and 507810. 10 What is the highest common factor of 32858 and 8? 2 Calculate the greatest common factor of 858 and 4224. 66 What is the greatest common factor of 22 and 23859? 11 What is the greatest common divisor of 1004 and 3263? 251 Calculate the greatest common divisor of 1715975 and 5. 5 Calculate the greatest common factor of 77406 and 126. 42 What is the highest common divisor of 407 and 9130? 11 What is the highest common factor of 90 and 2560? 10 Calculate the highest common divisor of 6678 and 292348. 742 What is the greatest common divisor of 60894 and 5661? 153 Calculate the highest common factor of 22455 and 180. 45 What is the highest common factor of 80 and 326020? 20 Calculate the greatest common divisor of 411291 and 54. 27 Calculate the greatest common factor of 382287 and 366. 183 Calculate the greatest common divisor of 1012 and 13892. 92 What is the highest common divisor of 12 and 1952076? 12 What is the highest common factor of 177 and 147? 3 What is the greatest common factor of 40 and 819880? 40 Calculate the highest common divisor of 184210 and 1635. 545 Calculate the greatest common factor of 18 and 216846. 18 Calculate the greatest common divisor of 504622 and 382. 382 Calculate the highest common factor of 206850 and 15. 15 Calculate the greatest common divisor of 35 and 91595. 35 Calculate the highest common divisor of 2900 and 532440. 580 Calculate the highest common factor of 126 and 2250. 18 Calculate the highest common factor of 608 and 93784. 152 What is the greatest common factor of 2355 and 1286615? 785 Calculate the highest common factor of 2323 and 53360. 23 What is the greatest common factor of 288 and 853578? 18 Calculate the highest common divisor of 3723 and 223161. 219 Calculate the highest common factor of 19 and 106837. 19 What is the highest common factor of 38 and 242782? 38 What is the greatest common divisor of 6 and 124842? 6 What is the highest common divisor of 32925 and 200? 25 Calculate the highest common factor of 4810 and 810485. 2405 What is the highest common divisor of 451 and 187? 11 What is the highest common factor of 320 and 174000? 80 Calculate the highest common factor of 1116 and 7932. 12 Calculate the highest common divisor of 3071 and 629. 37 Calculate the highest common factor of 239688 and 72. 72 Calculate the highest common factor of 27063 and 6975. 279 Calculate the highest common divisor of 176 and 1397. 11 What is the highest common factor of 1500 and 1620? 60 Calculate the highest common divisor of 37560 and 9720. 120 Calculate the highest common divisor of 2679 and 555446. 893 Calculate the greatest common factor of 12467 and 19180. 959 What is the highest common divisor of 4328 and 4696? 8 Calculate the highest common factor of 219611 and 274. 137 What is the highest common divisor of 29941 and 47321? 79 What is the greatest common divisor of 11228 and 504? 28 Calculate the highest common factor of 8502 and 26494. 26 Calculate the highest common divisor of 1744 and 198598. 218 What is the greatest common factor of 76 and 2452? 4 What is the highest common divisor of 1245 and 10707? 249 Calculate the highest common factor of 32723 and 13674. 43 Calculate the highest common divisor of 2996848 and 16. 16 What is the highest common factor of 1496 and 8536? 88 What is the highest common factor of 3958101 and 126? 63 Calculate the highest common factor of 480342 and 3590. 718 Calculate the greatest common factor of 1441 and 8908. 131 What is the highest common divisor of 2520 and 8120? 280 What is the highest common factor of 42 and 2646150? 6 Calculate the highest common factor of 89 and 2733368. 89 What is the highest common divisor of 503019 and 99? 99 Calculate the highest common factor of 857 and 5999. 857 What is the highest common factor of 10944 and 2196? 36 Calculate the highest common factor of 24189850 and 19. 19 Calculate the highest common factor of 72 and 25848. 72 What is the highest common divisor of 8853 and 52? 13 Calculate the greatest common divisor of 203 and 529366. 29 Calculate the highest common divisor of 1994118 and 948. 474 What is the greatest common divisor of 959 and 1827? 7 What is the greatest common divisor of 155573 and 33? 11 Calculate the highest common factor of 4292 and 30102. 58 Calculate the highest common divisor of 57630 and 714. 102 Calculate the highest common divisor of 267956 and 78. 26 What is the highest common factor of 31 and 3503? 31 Calculate the greatest common divisor of 104 and 33631. 13 Calculate the highest common factor of 935 and 24650. 85 Calculate the highest common divisor of 400 and 25520. 80 What is the greatest common divisor of 13 and 116233? 13 What is the highest common factor of 1833 and 153? 3 What is the greatest common divisor of 8563193 and 166? 83 Calculate the greatest common factor of 1798 and 5022. 62 What is the highest common divisor of 1080 and 300780? 540 What is the greatest common factor of 35496 and 6? 6 Calculate the highest common factor of 166 and 1647301. 83 Calculate the greatest common factor of 539 and 1824515. 539 Calculate the highest common factor of 39892 and 76. 4 What is the greatest common divisor of 98 and 2209557? 49 Calculate the greatest common divisor of 668612 and 28. 28 What is the highest common factor of 200 and 466290? 10 Calculate the highest common divisor of 7120 and 21380. 20 Calculate the highest common divisor of 109656 and 72. 72 What is the highest common factor of 41845 and 5? 5 What is the highest common factor of 5405 and 1495? 115 Calculate the greatest common factor of 2119 and 702. 13 Calculate the greatest common factor of 2829682 and 282. 94 What is the highest common divisor of 308348 and 2041? 157 Calculate the highest common factor of 1896042 and 258. 258 Calculate the greatest common factor of 5695 and 1711917. 1139 What is the greatest common divisor of 2088 and 99? 9 Calculate the greatest common factor of 252447 and 13. 13 Calculate the highest common divisor of 262220 and 140. 140 What is the highest common divisor of 23188 and 132? 44 What is the greatest common factor of 164 and 92414? 82 Calculate the highest common divisor of 9019 and 12325. 29 Calculate the greatest common factor of 128 and 158432. 32 Calculate the highest common factor of 85130 and 10. 10 What is the highest common factor of 45 and 33285? 15 Calculate the highest common factor of 187902 and 15111. 657 What is the greatest common factor of 221256 and 6? 6 Calculate the highest common divisor of 958 and 1489211. 479 What is the greatest common factor of 83858 and 16974? 46 What is the highest common factor of 6592 and 8128? 64 Calculate the highest common factor of 17928 and 68392. 664 What is the highest common divisor of 227145 and 285? 285 Calculate the greatest common factor of 340 and 108840. 20 What is the highest common factor of 1204 and 473? 43 What is the greatest common factor of 171 and 1770078? 57 Calculate the highest common factor of 1785 and 26605. 85 Calculate the greatest common factor of 546 and 378966. 42 What is the highest common divisor of 57 and 100339? 19 Calculate the greatest common factor of 22378 and 3841. 167 What is the greatest common divisor of 284 and 49061? 71 What is the greatest common divisor of 810 and 3210? 30 Calculate the greatest common divisor of 192668 and 784. 196 Calculate the greatest common divisor of 64639 and 143254. 1747 What is the highest common divisor of 1214 and 1548457? 607 What is the highest common divisor of 2558658 and 138? 138 Calculate the highest common factor of 357791 and 13825. 553 Calculate the highest common divisor of 14742 and 504. 126 Calculate the highest common divisor of 2291 and 3239. 79 Calculate the greatest common factor of 420780 and 180. 60 Calculate the greatest common factor of 375 and 495. 15 Calculate the highest common factor of 20 and 175620. 20 Calculate the highest common factor of 24475 and 3971. 11 Calculate the highest common factor of 48 and 10267504. 16 What is the highest common factor of 246 and 1437378? 246 What is the greatest common divisor of 72 and 116514? 18 Calculate the highest common factor of 84 and 7868. 28 What is the highest common divisor of 8176 and
{ "pile_set_name": "DM Mathematics" }
mainder when o is divided by 15? 13 Let h(b) = 3*b - 37. Suppose -2*w + 3*w + 3*q = 0, 4*w + 4*q = 40. What is the remainder when w is divided by h(15)? 7 Let c(w) = -w**3 + 4*w**2 - 2*w + 3. What is the remainder when (-183)/(-12) - 2/8 is divided by c(3)? 3 Let d(w) = w**3 + 4*w**2 + 2*w + 1. Let o be d(-3). Suppose -o*q + 6*q = 10, -5*q = 2*n - 131. What is the remainder when n is divided by 14? 11 Suppose -2*b + 92 = 4*v, -4*v + b = 6*b - 104. Suppose 4*w + 3*y - 236 = 0, -w + 4*w = 4*y + 202. Calculate the remainder when w is divided by v. 20 Suppose 252 = 5*f + 7. Suppose 30 + 21 = 3*z. What is the remainder when f is divided by z? 15 Let g(z) = -4*z - 7. Calculate the remainder when 49 is divided by g(-5). 10 Suppose -3*g = 5*p + 46, -g + 2*p - 1 = -4. Let d = 13 + g. Suppose 5*b - 15 = -d*z + 4*z, -13 = -3*z + 2*b. Calculate the remainder when 7 is divided by z. 2 Let o(j) = 25*j + 1. Suppose -3 - 13 = 4*l. Let v(c) = -2*c + 1. Calculate the remainder when o(1) is divided by v(l). 8 Let u(l) = -34*l**3 - 2*l - 1. What is the remainder when u(-1) is divided by ((-36)/21)/(1/(-7))? 11 Suppose 0 = 4*l - 3*l + 5. Suppose -4*s + 4*c + 48 = 0, 6 = s - 3*c - 4. Let o = l + s. Calculate the remainder when 22 is divided by o. 6 Calculate the remainder when 46 is divided by 101/4 - (-8)/32*-1. 21 Let v(b) = -8*b - 1 + 1 + 1. Calculate the remainder when v(-2) is divided by ((-15)/(-25))/(3/45). 8 Let r(w) = w**3 - 5*w**2 - 6*w - 3. Let h be r(6). What is the remainder when 20 - (h/3)/1 is divided by 8? 5 Let g(v) = -v**2 + 7*v + 7. Let b be g(8). Let u be (-143)/b - 0/1. Suppose 4*j - l - u = -6*l, -l - 1 = 0. Calculate the remainder when j is divided by 19. 18 Let c(a) = 7*a - 1. Let b(y) = -y. Let u(r) = -6*b(r) - c(r). Calculate the remainder when 4 is divided by u(-2). 1 Let z be 12/(-18) - 4/(-6). Calculate the remainder when ((0 - -1) + z)*82 is divided by 28. 26 Let f be (46/(-3))/(8/(-36)). Suppose v = 4*d - f, -d + 9 = 2*v - 15. What is the remainder when 34 is divided by d? 16 Suppose -2*y + 5*y = -78. Let m be (y/6)/(5/30). Calculate the remainder when (m/(-3))/((-12)/(-18)) is divided by 7. 6 Let y = 2 - -1. Suppose -h - 3*q + 16 = 2*q, -3*h = 5*q - 28. Suppose -z + y*a + h = 2*z, -3*z + 11 = -2*a. Calculate the remainder when z is divided by 4. 3 Let y(h) = h + 12. Let u be y(-9). Suppose 0 = -3*a + 2*a + u. What is the remainder when a is divided by 2? 1 Let d(u) = -7*u + 4. Let n(f) = 27*f - 27 - 5*f + 26*f. Let j(t) = -27*d(t) - 4*n(t). What is the remainder when 16 is divided by j(-2)? 4 Let c = 15 + -3. Calculate the remainder when (-4)/c - (-188)/6 is divided by 16. 15 Let d(f) = -4*f - 15. Let u be (2 - 0) + 31/(-1). Let m = -20 - u. Calculate the remainder when d(-10) is divided by m. 7 Let w(u) = u**3 + 2 - u**2 + 5*u**2 - 2*u**3. Calculate the remainder when w(3) is divided by 12/14*(4 + 3). 5 Suppose 12*k = n + 8*k - 20, -3*n - k + 34 = 0. What is the remainder when n is divided by 7? 5 What is the remainder when 77 is divided by (-1)/(-1) - (-9 + 1)? 5 Suppose -3 = -4*r + z + 13, -18 = -2*r - 2*z. Suppose -d - b = -32, b - r*b - 169 = -5*d. What is the remainder when d is divided by 17? 16 Let x = 10 + 10. Let w = 3 + 3. Suppose 3*l - 182 = 4*j, 4*l - 238 = w*j - 3*j. What is the remainder when l is divided by x? 18 Calculate the remainder when 8 is divided by 2*5/10*1. 0 Let i = 107 + -75. Calculate the remainder when i is divided by 13. 6 Let r(x) = -x**2 - 10*x - 9. Let q be r(-4). Let w = -7 - -29. Calculate the remainder when (-6)/q + 636/15 is divided by w. 20 Let t(c) = c - 1. Let y be t(4). Let r(g) = 3*g - 4. What is the remainder when 13 is divided by r(y)? 3 Let g(x) = -x**3 + 7*x**2 - 5*x - 7. Let d be g(6). Let n be 0*((-6)/(-4) - 2). What is the remainder when 19 + d - (n - 2) is divided by 11? 9 Suppose -3*k - 2 = 1. Let y = -2 - -3. What is the remainder when 44 is divided by 14/y + (k - -2)? 14 Let x(h) = -h**2 - 8*h + 16. What is the remainder when 18 is divided by x(-9)? 4 Let b = -136 - -155. Calculate the remainder when 68 is divided by b. 11 Let n = 17 + -17. Suppose n = 5*t - 15, -t + 0*t + 393 = 5*f. Calculate the remainder when f is divided by 20. 18 Calculate the remainder when 5 is divided by (-3)/(-4) + (-13)/(-4). 1 Let i = 13 - 9. Suppose 0 = i*q - 5*q - 3*n + 2, 4 = 2*q - 5*n. Suppose 0 = q*x + 5*s - 6, 2*x + 0*x - 6 = 2*s. Calculate the remainder when 10 is divided by x. 1 Let v = 74 - 7. Let u(x) = x**2 + 4*x + 5. Calculate the remainder when v is divided by u(-6). 16 Suppose 3*y = 100 - 34. Calculate the remainder when y is divided by 8. 6 Suppose 0 = p + 4*f + 25 - 137, -f = -4*p + 465. Suppose -2*d + 3*j + p = 0, -d - 3*j + 71 = 2*j. What is the remainder when d is divided by 16? 13 Suppose -3*h = -250 + 49. Calculate the remainder when h is divided by 23. 21 Suppose -4*p + 2*g + 106 = 0, p + 0*g - 16 = 4*g. Let o be 4/26 - p/13. Calculate the remainder when o/(-8)*2*42 is divided by 12. 9 Let a(t) = -2*t**3 - 2*t**2 - 2*t. Calculate the remainder when 34 is divided by a(-2). 10 Let x(g) = -g**3 + g + 2. Let k be x(0). Suppose -4 = 2*z, 5*d - k*z - 72 = -6*z. Calculate the remainder when 31 is divided by d. 15 Let o be 6*(-3)/(-24)*4. Suppose -o*b = -5*b - 8. Calculate the remainder when b/(-8)*14*1 is divided by 3. 1 Let y be (3 - 3) + -14 + -1. Let w = 11 + y. Let g(m) = -m**2 - 5*m - 3. What is the remainder when g(w) is divided by 1? 0 Calculate the remainder when (-15624)/(-120) - 2/10 is divided by 33. 31 Suppose 6*g - 5*g - 27 = 0. Let b = -1 + 1. Suppose -t + 3*z - z + 11 = 0, b = 3*z + 6. Calculate the remainder when g is divided by t. 6 Suppose 4*f - 2*b - 10 = -2, 0 = 2*f - 5*b - 20. Suppose 2*u + 8 - 22 = f. What is the remainder when 25 is divided by u? 4 Let t(s) = 20*s + 2. What is the remainder when t(2) is divided by 16/2 - (-3 - 0)? 9 Suppose -2*y + 6 = -4*y. Let h(r) = -r**3 - 2*r**2 + r. Let v be h(y). Let n = v - 5. Calculate the remainder when 3 is divided by n. 0 Let x = -56 - -81. Calculate the remainder when x is divided by (0 + -14)*(1 + (-9)/6). 4 Suppose 0 = 2*j + 4*t - 12, 0 = -j + t + 2*t - 4. Suppose -3*f - j*f = -10. What is the remainder when 9/2 + 1/2 is divided by f? 1 Let c = 10 - 7. Suppose 0 = c*j + 3*l - 3, 2*j - 4*j - 5*l = 1. Calculate the remainder when 2 is divided by 1*(-3 + j - -3). 0 Let y(r) = 2*r**2 + 12*r + 1. Let o(x) = -18*x - 1. What is the remainder when y(-8) is divided by o(-1)? 16 Let z = 138 - 80. Let k(q) = -14*q + 1. Let i(d) = d. Let f(v) = -5*i(v) + k(v). Calculate the remainder when z is divided by f(-1). 18 What is the remainder when (2 - -1)/(18/96) is divided by 19/3 + 2/(-6)? 4 Let c be (2 - 4)*(-13)/(-2). Let z = -1 - c. Suppose -2*w + 35 = 5*w. What is the remainder when z is divided by w? 2 Suppose -9*i + 200 + 52 = 0. Calculate the remainder when 82 is divided by i. 26 Let v = -39 - -62. What is the remainder when 61 is divided by v - 7/((-14)/(-4))? 19 Let r(x) = -x**3 - 6*x**2 + 6*x - 6. What is the remainder when -2*3/6*-1 is divided by r(-7)? 0 Let h(o) = o**2 + 9*o - 13. Let q be h(-10). Calculate the remainder when 12 is divided by (1/q)/((-5)/75). 2 What is the remainder when 94 is divided by 16/(-72) - (-218)/9? 22 Let i(h) be the first derivative of -5*h**3/6 + 7*h**2/2 + h + 2. Let n(x) be the first derivative of i(x). What is the remainder when n(-6) is divided by 19? 18 Let s(j) = 5*j - 4. Let n = 10 - -6. What is the remainder when s(7) is divided by n? 15 Suppose 5*l + 0*l - 215 = 0. Suppose -2 - l = -3*b. What is the remainder when 27 is divided by b? 12 Let a = -35 - -20. Calculate the remainder when 103 is divided by (-52)/(-10)*a/(-3). 25 Let u(y) = 20*y - 2. Let c be u(-2). Let w = -25 - c. Calculate the remainder when w is divided by 9. 8 Suppose i + 2*p = -3*i + 174, 0 = 2*p + 2. Calculate the remainder when i is divided by 12. 8 What is the remainder when (1 - (2 - -2)) + 17 is divided by 5? 4 Suppose 0*b - b = -18. What is the remainder when b is divided by 12? 6 Suppose 3*h + 12 + 15 = 0. Let f(w) = -w**2 - 8*w + 4. Let c be f(h). Let y(s) = -s**3 - 5*s**2 + 6. Calculate the remainder when 22 is divided by y(c). 4 Let g(f) = 2*f**2 + 2*f - 1. Let s be g(-2). Suppose -2*i = b - 5, -15 = -s
{ "pile_set_name": "DM Mathematics" }
7)? -10 What is -11 + 2 + -11 + 15? -5 What is the value of -7 + (3 - 1) + 8 - -4? 7 -2 + 4 + (-1 - 0) + 1 2 Calculate (-5 - 1 - -6) + 6 - 5. 1 -5 + 0 + (1 - (-9 - -5)) 0 2 + -8 + (0 - -6) 0 What is the value of 1 + (4 + -7 - -7)? 5 (4 - 6) + -1 + 2 - -3 2 Evaluate (4 - 6) + -2 - -8 - 11. -7 What is the value of -12 + (3 - (-11 - -8))? -6 Evaluate (-10 - -2) + 41 + -36. -3 Evaluate -1 + -9 + (-3 - -8) + 3. -2 Evaluate -6 + 6 + (-8 - -5). -3 What is -1 + (-7 - (-14 + 7))? -1 What is the value of 0 + -2 + 0 + (-2 - -7)? 3 What is the value of 15 - (2 + -3 + 7)? 9 Calculate 2 - (-2 + 0 + (2 - 2)). 4 Calculate 1 + (5 + -5 - 0). 1 Calculate 5 + -6 + 0 - -5. 4 Calculate 21 + -27 + (0 - 5) - -3. -8 -38 - -41 - (-2 + 2 - -1) 2 Evaluate -1 - ((2 - 1) + (1 - 0)). -3 What is 0 - (-8 + 1 + 8) - -6? 5 What is the value of 0 + 0 - (-19 - -10 - -6)? 3 What is 7 + -1 + -9 + -3? -6 What is 2 + (-1 - -8) + -6? 3 What is the value of -2 + 2 + -3 + 1 - 3? -5 What is -6 + (-1 - -1) - (-1 - 2)? -3 What is the value of 4 + (0 - -1) + -4 + 3? 4 Evaluate -4 + -1 + 2 - (-5 + 3). -1 Calculate 0 + -1 + -3 + 7. 3 Calculate -10 - (-6 + -1 + 6 - 7). -2 1 - ((4 - (2 - -5)) + 0) 4 What is the value of -3 + 2 + -1 + (4 - 7)? -5 Evaluate 7 + -4 - (1 + 3). -1 Calculate -6 + -52 + 48 + -1 + 5. -6 Evaluate (-1 - 2) + (5 - 1) + 3. 4 Calculate 1 + -12 - (-2 - 19). 10 -1 - 0 - (-73 - -74) -2 Calculate 1 - ((-18 - -10) + 3). 6 Calculate 0 - (0 + -1 + (17 - 15)). -1 0 + (-6 - (2 + -1) - 3) -10 3 + (-4 + 1 + 2 - -2) 4 Calculate 1 + (-13 - -7) + 1 + -1. -5 What is -1 - ((-3 + 3 - 3) + 6)? -4 (2 - 7) + 0 - -2 -3 What is 6 - (-3 + 8 - 9 - -5)? 5 What is the value of -2 + (-8 - -6 - -1)? -3 What is (8 + -4 - 3) + -4? -3 Evaluate 0 - (2 - 8 - 2 - -2). 6 1 - 0 - (-71 - -75) -3 What is the value of -4 + (2 + -2 - -6) + 7? 9 What is 7 + (2 - 9) - (0 - 0)? 0 Calculate -2 + 6 + -5 + (10 - 3). 6 What is the value of (-1 - -2 - 1 - 6) + 2? -4 What is 1 - (1 - 0) - 0? 0 What is 11 - 4 - (-1 - -5)? 3 What is the value of -2 - ((-3 - -2) + 1)? -2 Evaluate 0 - (2 - 7 - -8) - -4. 1 Calculate -2 - ((-2 - 1) + -3). 4 What is the value of -5 + (11 - (10 + -7 + 0))? 3 What is (-1 - -5) + (-7 + 20 - 12)? 5 What is the value of 4 + (-4 - (1 - 1))? 0 -5 - ((5 - (-7 - -2)) + -7) -8 What is 4 + 20 + -15 + 0 + -8? 1 (-8 - -5 - -3) + 3 + 1 4 What is the value of (8 - 2) + (-1 - 10)? -5 What is 8 + -6 + (-14 - -7)? -5 Evaluate 1 + 2 + 2 + (-11 - -7). 1 Calculate 2 + 11 + -10 - (8 + 1). -6 Calculate 1 + 4 + 11 + -5 - 0. 11 What is -1 + 5 + 1 - (10 - 5)? 0 Evaluate (0 - -5) + (0 - 6). -1 Calculate -2 - (-16 + (-5 - -14)). 5 Calculate -4 + 5 + -1 + 0. 0 Calculate 0 + 0 + (-28 - -33) + -3. 2 Evaluate 1 - 6 - (-11 - (-5 - -5)). 6 Calculate (-1 - -8) + (-9 - 11 - -17). 4 Calculate 10 + -8 + 7 + -3. 6 Evaluate 5 - 7 - (-1 + -7). 6 Evaluate -7 + 9 + 0 - (0 + 0). 2 What is (3 - (10 + -4)) + -1? -4 What is 12 - (7 + (6 - -3))? -4 What is (-4 - -9) + (3 - -1) + -11? -2 -21 - (19 - 24) - (-7 + 2) -11 Calculate (3 + -2 - 3) + 3 + -3. -2 What is 2 + (2 + 2 + -3 - 2)? 1 2 + -2 - -4 - (4 - 2) 2 -9 + 3 + (10 - 2) 2 What is the value of (-15 - -20 - (-1 - -5)) + 1? 2 Calculate (-4 - (3 + -4 + 0)) + 0. -3 Calculate (9 - 5) + (-9 - 3) + 4. -4 Evaluate 10 + -3 + -2 + -5. 0 Evaluate -1 + -1 + (-8 - -5 - -8). 3 What is the value of -17 + 14 + (1 - 0)? -2 Calculate 0 + -2 + (2 + 0 - -2). 2 Calculate 0 + -3 + 4 + (-5 - -3). -1 Calculate (10 - 4) + -4 + -6 + 0. -4 Evaluate 1 - 1 - (5 + (-3 - 0)). -2 -7 + 1 - (-14 + -4) - 4 8 Evaluate 5 - (4 - 4 - -7). -2 What is the value of -2 - (-6 - (-1 - 3))? 0 What is the value of (-13 - (-10 - -5)) + 3? -5 Evaluate (0 - (1 + 1)) + -12 + 6. -8 What is the value of 6 + -1 + -5 + 4? 4 0 - 6 - (18 - 26) 2 Calculate (-8 - -11 - 5) + (-1 - -3). 0 -3 + 3 - -2 - (-6 - -10) -2 What is -68 + 65 - (0 - 2 - -7)? -8 Evaluate -7 + (-8 - -9 - (-1 - 0)). -5 What is the value of 3 - (6 - (0 + -1 - -3))? -1 What is 3 - (-1 + -2 + (6 - 0))? 0 What is 0 - (-7 + 10 - 10)? 7 Evaluate 5 - (6 - (-3 - -10)). 6 Evaluate (0 - 6) + (-23 - -25). -4 Calculate 4 + -2 + 4 + -8. -2 Evaluate -9 + 8 + -1 + 3 - -4. 5 What is 3 + 3 + -4 + 2? 4 What is 1 - ((5 - -3) + -3) - 6? -10 What is 1 + 4 - (5 + 5 + -7)? 2 Calculate 2 - (-5 + 6 - (2 - 3)). 0 Calculate 2 + -7 + -4 - -4. -5 Evaluate -3 + (-6 + 11 - 2). 0 Evaluate (6 - 7) + -3 + 1 + -1. -4 What is the value of 1 - (-1 + -3) - (5 + -5)? 5 What is the value of 13 + -12 + 1 + (-1 - 1)? 0 What is the value of (14 - 9) + (-6 - -2)? 1 (-4 - (0 - 2)) + 0 -2 Evaluate 4 + -12 + 5 - (1 + -1). -3 Evaluate -7 - (-21 + 8) - 15. -9 What is the value of 3 + (-17 - (0 - 9))? -5 Calculate -8 + 4 + 5 + -5. -4 Evaluate -1 - ((1 - 3) + 3). -2 Calculate -1 + -2 + -3 + (74 - 68). 0 What is (2 + 2 - (1 + -3)) + -4? 2 Evaluate 2 + 0 + -2 + 21 + -22. -1 What is the value of -3 + (1 + 4 - (-2 - -2))? 2 What is -3 + (11 - (4 + 2))? 2 -8 + 8 + -3 + 3 + -3 -3 What is the value of (0 - -7) + -1 + 1? 7 What is the value of -1 - 7 - (-18 + 15)? -5 Calculate (4 - 1) + (-2 - 6). -5 What is the value of 1 - (0 - (2 - 4)) - -3? 2 Calculate -1 - (-4 + 1) - 5. -3 What is the value of 7 + 8 + -12 - (-1 + 0)? 4 Evaluate -3 + (8 - 8) + 1. -2 What is -5 + 10 + (-7 - 1)? -3 Evaluate (-7 + -4 - -2) + 4. -5 What is the value of (-7 - -3 - -2) + 3? 1 Calculate -2 - (-15 + 15 + -6). 4 Calculate (6 - 1) + -11 + 11 + -4. 1 (-2 + 3 - -4) + -2 - 4 -1 Calculate (1 - 5) + (7 - (-4 - -6)). 1 Evaluate -3 + 5 + 0 - 0. 2 What is -11 + (2 - (3 - 6)) + 0? -6 What is -6 + (-1 + -1 - -5) + -2? -5 What is -4 + 8 + (-8 - -3) - -1? 0 (-4 - 15) + 5 - -11 -3 Calculate 7 - (3 - 3 - (5 - 7)). 5 Evaluate -4 - -1 - (-3 - -3 - 1). -2 What is the value of -5 + 10 - (-1 + 5)? 1 What is the value of 6 - (5 - 11 - (-9 + -5))? -2 4 + -20 - -5 - -5 -6 What is the value of 5 + -8 - 3 - -4? -2 Evaluate (-3 - (-10 + 3)) + 2 + -5. 1 -7 + 4 + 4 + (3 - 4) 0 Calculate 0 - 6 - (7 - 11). -2 What is 6 - (-2 + -1 - -4)? 5 Evaluate -13 + 2 - -11 - -5. 5 What is 5 - 0 - (13 + 0 - 8)? 0 What is the value of 2 - (-1 + 4) - 3? -4 3 + 0 - (4 - (0 + 3)) 2 -4 - (3 + -1 - 8) 2 What is the value of -1 + 1 - -4 - (15 + -7)? -4 Evaluate (0 - 2) + 6 - (-3 - -9). -2 -1 + 2 - (-51 - -46) - -1 7 (-4 - (4 - 10)) + -10 -8 5 + -1 - (4 + -1 + -1) 2 -2 - (6 - -2 - 8) -2 What is the value of -22 + 14 + 11 - (0 + 7)? -4 What is the value of -1 + 5 + -4 + 4? 4 (-8 - -5) + 0 + 0 -3 Calculate -1 + 7 + (8 - 13). 1 Calculate (-2 - 2) + (7 - (3 + 3)). -3 Evaluate -1 + 0 - (-4 - (-8 - -9)). 4 4 + (-3 + (-6 - -14) - 4) 5 What is the value of -10 + 0 + (0 + 4 - -1)? -5 What is the value of -6 - (0 - (9 - (4 - -1)))? -2 What is the value of 10 - (-2 - -18 - 4)? -2 4 + -7 - (0 + -5) 2 What is the value of 0 - (2 + (1 - 1) + -4)? 2 Evaluate -8 + (2 - (6 + -8)). -4 Calculate -69 + 80 + -2 + 0. 9 What is the value of (7 - (8 - 5)) + 5? 9 Evaluate (29 - 28) + -1 + 3. 3 Evaluate (-10 + 2 - (17 - 17)) + 4. -4 What is the value of -3 + (-1 - (0 - 0)) + 1? -3 1 + (2 - 2 - (5 - 1)) -3 What is the value of (-1 - -2) + (7 - 1) + -7? 0 What is the value of -3 - (3 - (1 + -1 + 3))? -3 What is the value of -8 + 2 - (-16 - -12 - -3)? -5 Calculate (-1 - 6 - -2) + 0. -5 Evaluate 11 + -31 + 2 + 10. -8 What is 7 + -4 + -26 + 17? -6 What is the value of -3 - (-5 + (-9 - -16))? -5 What is 1 - (-4 - -3 - -4)? -2 What is 6 - (-2 - (0 + -4))? 4 What is 2 + -5 + 1 - -5? 3 1 - (-6 - (-5 + -8) - 5) -1 What is the value of 2 + (1 - (6 + 0))? -3 What is the value of (10 - 18 - (4 + -15)) + 0? 3 -1 + (7 - 4) - (-32 - -26) 8 What is the value of -4 + 0 + -6 + -22 + 28? -4 Evaluate (5 - 7) + (0 - 0) + 4. 2 2 - (3 + -7 + 2 + -1) 5 What is the value of -3 - (3 - (10 - 4))? 0 Evaluate (-9 - -9) + 5 + (-8 - 0). -3 What is 3 + 1 - (-4 - (-4 + -1))? 3 -4 + 16 + (-11 - (-8 - -5)) 4 (4 - (11 - 16)) + -1 8 Evaluate 3 + (-8 - -4 - (2 - -2)). -5 Calculate (-3 - -5) + -4 + -1 + 3. 0 Evaluate 1 + (-6 - (-1 - 2)) - 4. -6 Evaluate 5 + -2 + 3 - (4 + -1). 3 Calculate 0 - (-6 - (7 - 14)). -1 Evaluate -12 - (-12 - -12 - 7). -5 -6 + (6 - (-3 + 4 - -1)) -2 Calculate -6 + 2 - (2 + (5 - 5)). -6 Evaluate -1 + -2 + 6 + -1. 2 -4 + 1 - (5 - (-2 + 8)) -2 Calculate 2 + (2 - 1) + -2. 1 What is the value of -2 + (3 - (0 - 1)) + 0? 2 What is (-3 - 3 - 4) + 5? -5
{ "pile_set_name": "DM Mathematics" }
3960*a**3 Let g = 7 - 5. Find the third derivative of -13*c**g - 4*c**5 - 11*c**2 + 32*c**2 wrt c. -240*c**2 Let v(i) be the second derivative of -7*i**6/10 - i**5/4 + 60*i**2 - 13*i. Find the first derivative of v(y) wrt y. -84*y**3 - 15*y**2 Let g(c) be the second derivative of c**8/420 - 7*c**6/120 + 3*c**3 + 12*c. Let m(w) be the second derivative of g(w). Find the third derivative of m(d) wrt d. 96*d Let g(k) be the second derivative of 0 + 13/6*k**3 - 27*k - 2*k**2. What is the derivative of g(x) wrt x? 13 Let y = 7 + -2. Suppose 2*r + 9 = y*r. Find the second derivative of 2*h**3 - 14*h**r - h + 10*h wrt h. -72*h Let h be (39 + -39)/(-2 - (0 - 1)). Suppose 16 = 3*j - 4*c, 3*j + 2*c + 0*c - 10 = 0. Find the second derivative of h*b**2 + 2*b + 5*b**2 - j*b wrt b. 10 What is the third derivative of 4*f**2 - 3*f**2 - 23*f**5 - 6*f**2 + 3*f**2 wrt f? -1380*f**2 Let q be (-295)/10*(-8 - -2). What is the first derivative of -q - 3*s + 165 + 10*s wrt s? 7 Suppose 9*d - 20 = -2. Differentiate -d*y - y - 3*y + 7 - 6*y wrt y. -12 Let w(x) be the first derivative of 7*x**6/6 - 5*x**4/4 - 17*x**3/3 - 113. What is the third derivative of w(l) wrt l? 420*l**2 - 30 Let i(c) = c + 7. Let j be i(0). What is the third derivative of j*l**2 + 9*l**2 - 6*l**2 + 12*l**6 + 3*l**2 wrt l? 1440*l**3 Let r = -954 + 954. Let x(u) be the first derivative of -2*u**2 + 0*u**5 + 6 - 7/6*u**6 + 0*u**4 + r*u + 0*u**3. Find the second derivative of x(h) wrt h. -140*h**3 Suppose -85 = 5*u - 5. Let m = u - -19. What is the third derivative of -d + m*d**4 - 5*d**2 + d + 2*d**4 wrt d? 120*d Let j = -5 + -3. Let z = -8 - j. Find the second derivative of -5*g**3 - 5*g**2 + z*g**3 + 5*g**2 - g wrt g. -30*g Let r = 33 - 26. What is the second derivative of r*w**3 - 4*w + 2*w + w wrt w? 42*w Let b(o) = 24*o + 58. Let x(p) = -22*p - 56. Let g(v) = 4*b(v) + 5*x(v). Differentiate g(r) wrt r. -14 What is the derivative of 88*q**2 + 162 - 43*q**2 - 19*q**4 - 2*q - 45*q**2 - 65 wrt q? -76*q**3 - 2 Differentiate 427*o**4 - 426*o**4 + 169 + 92 with respect to o. 4*o**3 Let q(k) be the second derivative of k**5/20 - 14*k**3 - 101*k**2 - 14*k + 12. Differentiate q(g) wrt g. 3*g**2 - 84 What is the third derivative of -9*r + 0*r + 40*r**3 + 40*r**3 + 10*r**2 + 11*r wrt r? 480 Let p be 3 + (0 + -3)/3. Suppose 3*c + 6*z - p*z = -6, -7 = -5*c - z. Find the second derivative of -5*l**2 + 3*l + c*l - l wrt l. -10 Let q be 2/5 + 54/15. Let k be 1/q - 91/(-52). What is the first derivative of -2 + 209*g**k + 8 - 202*g**2 wrt g? 14*g Let i(j) be the third derivative of 13*j**8/84 + j**6/120 - 46*j**5/15 - 907*j**2. What is the third derivative of i(o) wrt o? 3120*o**2 + 6 Let z(r) = -87*r**2 + r + 517. Let j(t) = 29*t**2 - 173. Let b(p) = -8*j(p) - 3*z(p). Differentiate b(s) wrt s. 58*s - 3 Find the second derivative of 87*c + 31*c - 32*c**3 - 160*c**3 wrt c. -1152*c Let k(y) be the second derivative of -y**5/20 + 10*y**4 - 11*y**3/6 - y**2 + y + 25. Find the second derivative of k(w) wrt w. -6*w + 240 What is the second derivative of 3 - 9 + 7*w**3 - 9*w**3 + 9*w**4 + w - w**4 wrt w? 96*w**2 - 12*w Suppose 0 = 25*l - 56 - 69. Let q(h) be the first derivative of 11/3*h**3 + 0*h**4 - 6/5*h**l + 7 + 0*h + 0*h**2. Find the third derivative of q(y) wrt y. -144*y Let o(f) = 48*f + 140. Let p(z) = -z + 2. Let h(l) = -o(l) + 4*p(l). What is the first derivative of h(d) wrt d? -52 Let l be (-3)/(-2 + -1) - (-2 - 0). What is the second derivative of -3*f**3 - 12*f**l + 5*f**3 + 30*f wrt f? -60*f What is the third derivative of -2*m - 17*m**4 + 8*m**4 - 31*m**4 + 9*m**2 wrt m? -960*m Find the third derivative of 2*h + 31*h**2 - 5964*h**3 + 6019*h**3 - 2*h wrt h. 330 Let k(z) = 1. Let o(b) = 1. Let f(r) = 5*k(r) - 4*o(r). Let q(i) = i - 7. Let p(n) = -4*f(n) + q(n). Differentiate p(s) wrt s. 1 Let g(m) = -26*m**3 - 4*m**2 - 4*m + 20. Let p(f) = 3*f - 4*f - 14 - f**2 + 13. Let v(w) = -g(w) + 4*p(w). Find the first derivative of v(k) wrt k. 78*k**2 Let u(n) be the third derivative of -97*n**6/120 + n**5/15 - 25*n**3/6 + 137*n**2 + 1. Find the third derivative of u(x) wrt x. -582 Let c(w) = 535*w**4 + 4*w**3 + 4*w**2 - 688. Let n(r) = -r**3 - r**2 - 1. Let v(g) = -c(g) - 4*n(g). Differentiate v(m) with respect to m. -2140*m**3 Let b(k) be the second derivative of -k**5/30 + k**4/12 + 2*k**3/3 + 8*k. Let a(g) be the second derivative of b(g). What is the first derivative of a(f) wrt f? -4 What is the second derivative of 8*o + 23*o + 30*o - 6*o**2 wrt o? -12 Find the third derivative of 4*j - 15*j + 11*j - 42*j**2 + 75*j**3 wrt j. 450 What is the third derivative of 25*a**4 + 2*a**2 - 6 - 6*a**4 + 2 - 5*a**3 + 52*a**4 - 3*a**2 wrt a? 1704*a - 30 Let r(l) be the first derivative of 11*l**6/30 - 31*l**3/6 - 9*l - 21. Let c(g) be the first derivative of r(g). What is the second derivative of c(h) wrt h? 132*h**2 Let d(r) = 45*r**5 - 6*r**3 - 28*r - 6. Let x(v) = 91*v**5 - 13*v**3 - 57*v - 13. Let c(s) = 13*d(s) - 6*x(s). What is the second derivative of c(b) wrt b? 780*b**3 Let a(f) be the first derivative of 0*f**4 + 17/3*f**3 + 0*f**2 - 35 + f**5 + 0*f. Find the third derivative of a(s) wrt s. 120*s Let m(j) be the first derivative of -j**6/6 - 19*j**4/2 - 155*j**3/3 - 377. Find the third derivative of m(i) wrt i. -60*i**2 - 228 Let t(f) = 277*f**5 - 17*f**4 - 308*f - 17. Let h(i) = -92*i**5 + 6*i**4 + 103*i + 6. Let v(u) = 17*h(u) + 6*t(u). What is the second derivative of v(c) wrt c? 1960*c**3 Let s(d) = -54*d**2 - 55*d + 6. Let p(v) = -55*v**2 - 56*v + 5. Let m(r) = -6*p(r) + 5*s(r). Find the second derivative of m(k) wrt k. 120 Let y(w) be the first derivative of -9 + 8*w - 19 + 5 - 11*w**2. Differentiate y(v) wrt v. -22 Let h = 6 + -1. Let k(x) = 2*x**3 - 5*x**2 + 5*x - 16. Let q(y) = 3*y**3 - 8*y**2 + 8*y - 24. Let d(n) = h*q(n) - 8*k(n). What is the derivative of d(z) wrt z? -3*z**2 Let a(u) = -11*u + 47. Let b be a(-12). What is the derivative of 14 + b*d**2 + 8*d**3 - 3*d**3 - 179*d**2 wrt d? 15*d**2 Let o(u) be the first derivative of -2*u**6/5 + 7*u**2/2 - 9*u - 2. Let d(s) be the first derivative of o(s). Differentiate d(h) with respect to h. -48*h**3 Let r(a) be the third derivative of 29*a**6/120 - a**5/6 + a**4/12 + 151*a**3/2 - 2*a**2 + 38*a. What is the second derivative of r(f) wrt f? 174*f - 20 Suppose 4*x = 49 + 11. What is the second derivative of 11*r**3 + 0*r**3 - x*r - 8*r**3 wrt r? 18*r Find the third derivative of -15*i**3 - 110*i**4 + 2*i**4 + 7*i**3 + 287*i**2 + 8*i**3 wrt i. -2592*i Let a(u) = u**4 - u**3 + u**2 + u. Let x(q) = -7*q**4 + 3*q**3 - 7*q**2 - 5*q. Let z(k) = 3*a(k) + x(k). Find the second derivative of z(w) wrt w. -48*w**2 - 8 Let m(c) be the third derivative of c**5/20 - 13*c**4/6 - 5*c**3 + 126*c**2 - c. What is the first derivative of m(v) wrt v? 6*v - 52 Let b = -2 + 4. Let f(x) = -x**2 - 5*x + 6. Let h be f(-6). Find the third derivative of 2*n**b - 2*n**2 + h*n**2 + 2*n**2 + 3*n**4 wrt n. 72*n Let a(k) = k**3 + k**2 - 10*k - 3. Let h be a(5). What is the second derivative of 46 + 3*j - h + 48 - 43*j**2 wrt j? -86 What is the second derivative of 2*g**3 - 3*g + 3*g + 27*g - 4*g**5 wrt g? -80*g**3 + 12*g Suppose 5*i + 25 = 2*k, -2*i + 3*i + 5 = -5*k. Let b be (-3)/(-3) - -4 - k. What is the third derivative of -11*n**2 + 6*n**5 + 0*n**b + 13*n**2 wrt n? 360*n**2 Let m(z) be the second derivative of 53*z**7/21 + z**4/6 + 2*z**3 - 135*z. What is the third derivative of m(o) wrt o? 6360*o**2 Let q(b) be the third derivative of -11*b**6/24 + 19*b**4/6 - 68*b**2. Find the second derivative of q(p) wrt p. -330*p Let x(r) be the second derivative of 75*r**8/56 + r**7/7 - 129*r**4/4 + r**2 + 68*r + 6. What is the third derivative of x(j) wrt j? 9000*j**3 + 360*j**2 Let t(x) = x**3 + 7*x**2 + 6*x + 7. Let i be t(-6). Find the third derivative of 11*s**3 - 13*s**3 - i*s**6 - s**2 + 2*s**3 wrt s. -840*s**3 Let z = 8 + -5. Suppose -9*o = -4*o - 15. Find the second derivative of 5*p + 7*p**3 - 2*p**z + 0*p**3 - o*p**3 wrt p. 12*p Let d(l) = l. Let u(f) = 7*f**3 + 2*f**2 - 6*f. Suppose c = 4*c - 18. Let i(b) = c*d(b) + u(b). What is the third derivative of i(s) wrt s? 42 Let s(r) = -157*r**4 - 5*r**3 - 21*r - 5. Let c(p) = -235*p**4 - 8*p**3 - 31*p - 8. Let b(y) = 5*c(y) - 8*s(
{ "pile_set_name": "DM Mathematics" }
5, 2, -2, -49 Put 0.4, -140, -21 in decreasing order. 0.4, -21, -140 Sort 0.2, -5/2, -13, -1.235, 2. -13, -5/2, -1.235, 0.2, 2 Sort 4, -143, 0, 53 in decreasing order. 53, 4, 0, -143 Sort 0, 4, -2, 2, -893, -22 in descending order. 4, 2, 0, -2, -22, -893 Put -4, 3, -6, 6, 0.2, -158 in decreasing order. 6, 3, 0.2, -4, -6, -158 Put -158, -695, 2, 1 in ascending order. -695, -158, 1, 2 Put 3, -170/9, 0.1, 0.3, 2 in ascending order. -170/9, 0.1, 0.3, 2, 3 Sort 12, 3, 76, 5, -5 in descending order. 76, 12, 5, 3, -5 Sort 1, -4, 18500 in decreasing order. 18500, 1, -4 Sort 8/7, 0, -1/8, -0.11, -4, -1 in increasing order. -4, -1, -1/8, -0.11, 0, 8/7 Sort -10, 0, -11406 in decreasing order. 0, -10, -11406 Sort 1/8, 0.16, -8.5, -9 in decreasing order. 0.16, 1/8, -8.5, -9 Sort 5, -11, 3/4, -93. -93, -11, 3/4, 5 Sort -0.7, -280, -1, -0.1 in ascending order. -280, -1, -0.7, -0.1 Sort 369, 191, 3, -3. -3, 3, 191, 369 Sort 5, 6, 4, 14 in ascending order. 4, 5, 6, 14 Sort -1, -640, 36 in ascending order. -640, -1, 36 Sort -64, -3/77, 2/3 in descending order. 2/3, -3/77, -64 Sort -60, -10, -2, 3. -60, -10, -2, 3 Sort 2, -36/295, -21 in ascending order. -21, -36/295, 2 Put 0.1, -11, 1/5, 0.3, 1/7 in ascending order. -11, 0.1, 1/7, 1/5, 0.3 Put 83, 2, 26.7, 0.08, 4 in descending order. 83, 26.7, 4, 2, 0.08 Sort 3, -11, 1, 0, 16 in ascending order. -11, 0, 1, 3, 16 Put 15, 82, -3/2, -5, 0.2, 1.3 in descending order. 82, 15, 1.3, 0.2, -3/2, -5 Sort -45, 5, 1, -2, 4, 376. -45, -2, 1, 4, 5, 376 Sort -5, 64, 0, -92, 1. -92, -5, 0, 1, 64 Sort 0.3, 3, -3, -2/9, -0.0277 in ascending order. -3, -2/9, -0.0277, 0.3, 3 Sort 3, 0.2, 19714, -1, -4, 1/4 in increasing order. -4, -1, 0.2, 1/4, 3, 19714 Sort 148489, 2, 0.1, -0.2 in decreasing order. 148489, 2, 0.1, -0.2 Put 2538, 1, 5 in increasing order. 1, 5, 2538 Sort -3, 4, 1/66, 1 in descending order. 4, 1, 1/66, -3 Put 0, -890, 0.02 in descending order. 0.02, 0, -890 Sort -8728, 4, -51 in ascending order. -8728, -51, 4 Put -21, 6, 3, -1 in descending order. 6, 3, -1, -21 Put 2/5, 3, -4/5, -7, 5, 4 in decreasing order. 5, 4, 3, 2/5, -4/5, -7 Sort 10, 0.1, 535 in ascending order. 0.1, 10, 535 Sort -0.4, 2/5, -3, 2345, -0.2, 1/4. -3, -0.4, -0.2, 1/4, 2/5, 2345 Sort -2, -4, 148871 in increasing order. -4, -2, 148871 Put 4, 15, 43, 250 in increasing order. 4, 15, 43, 250 Put -4, -1350, -10, 4, 2 in descending order. 4, 2, -4, -10, -1350 Put -5, -1, 5, -4839 in ascending order. -4839, -5, -1, 5 Sort 2485, -2/17, 0.5, 0.09, -0.3 in decreasing order. 2485, 0.5, 0.09, -2/17, -0.3 Put 938, 0.3, -0.3, -116 in descending order. 938, 0.3, -0.3, -116 Sort -1, 1, 5, 821, -3. -3, -1, 1, 5, 821 Put 1, 72/1489, 2 in increasing order. 72/1489, 1, 2 Sort -0.738, 4, -0.9 in decreasing order. 4, -0.738, -0.9 Put 147597, -3, 5 in ascending order. -3, 5, 147597 Sort -3, -1, -4, 62, 1 in ascending order. -4, -3, -1, 1, 62 Put 8/457, 0, -5 in decreasing order. 8/457, 0, -5 Sort 1405, 1, 113. 1, 113, 1405 Sort -18775, 5, -6. -18775, -6, 5 Put -321, 4, 5, 2, 1702, -1 in descending order. 1702, 5, 4, 2, -1, -321 Put 0.1, 2/15, 41.24 in descending order. 41.24, 2/15, 0.1 Put -4, 479704, -0.2 in ascending order. -4, -0.2, 479704 Put 0, -1, 4, -1231 in decreasing order. 4, 0, -1, -1231 Sort -5, 1/19, 14, -3, 0.6 in descending order. 14, 0.6, 1/19, -3, -5 Put -4, -2, 488, 1 in descending order. 488, 1, -2, -4 Put -18, -35, 8, -4 in ascending order. -35, -18, -4, 8 Sort -3, -5451, 95. -5451, -3, 95 Sort 24, -46, 2, -10. -46, -10, 2, 24 Sort -29, -62, -35 in descending order. -29, -35, -62 Sort 0.1, -488, -0.02, -2/11 in decreasing order. 0.1, -0.02, -2/11, -488 Sort 7.2, 0.053, -856. -856, 0.053, 7.2 Sort -846, 5, -4 in descending order. 5, -4, -846 Sort -3, 15, 237, 9, 5 in ascending order. -3, 5, 9, 15, 237 Sort 4, 17, 14, -1, 3, 8 in ascending order. -1, 3, 4, 8, 14, 17 Put 67, -0.5, -3, 0.3 in ascending order. -3, -0.5, 0.3, 67 Put -3, 2, -513, 9, 3, 4 in increasing order. -513, -3, 2, 3, 4, 9 Sort -2/15, 1, -5, 1/4, 1/46, -3 in ascending order. -5, -3, -2/15, 1/46, 1/4, 1 Sort 12, -6, 1, -4, -1, -3 in ascending order. -6, -4, -3, -1, 1, 12 Put 5, -2/9, 3, 0.5, 8/259 in descending order. 5, 3, 0.5, 8/259, -2/9 Put 48, -3, -4, 24, 3, -2 in ascending order. -4, -3, -2, 3, 24, 48 Sort -35, -11, -6, -5. -35, -11, -6, -5 Sort 19, -2, 2, -5, 3 in descending order. 19, 3, 2, -2, -5 Sort 40, 3, -14280 in descending order. 40, 3, -14280 Sort -28/25, 4, 3/4, -4. -4, -28/25, 3/4, 4 Sort -50, -3, -114 in increasing order. -114, -50, -3 Put -4, -3, -15, 55, 0 in ascending order. -15, -4, -3, 0, 55 Sort -0.4, 6/91, 0.1, 1, -3, 2/33 in descending order. 1, 0.1, 6/91, 2/33, -0.4, -3 Sort 36, 39, -11, 3, -4. -11, -4, 3, 36, 39 Sort 5, 4, 14624, 14 in descending order. 14624, 14, 5, 4 Put -8, -4, 134, 3, -2, -3 in decreasing order. 134, 3, -2, -3, -4, -8 Sort 8, -247, 3 in descending order. 8, 3, -247 Sort -1, 583, -35, -3, 4 in descending order. 583, 4, -1, -3, -35 Put 16, -2, 3, 3179 in decreasing order. 3179, 16, 3, -2 Put 29, -5, -12, -684 in descending order. 29, -5, -12, -684 Sort 4, 0, -4, 7, -43 in decreasing order. 7, 4, 0, -4, -43 Sort -5, -2, 98, 1 in ascending order. -5, -2, 1, 98 Sort 4, 26, 74. 4, 26, 74 Put 207, 1, 312, -5 in descending order. 312, 207, 1, -5 Put -2, -1484, -13 in descending order. -2, -13, -1484 Sort 2502, -5, -0.1, -1, -0.4 in decreasing order. 2502, -0.1, -0.4, -1, -5 Put 123, 0, 4, 5 in ascending order. 0, 4, 5, 123 Put -4, 2, -4175, 5, 4 in decreasing order. 5, 4, 2, -4, -4175 Sort -402, -3, -4, -6, 8, 2 in ascending order. -402, -6, -4, -3, 2, 8 Sort -5, -3, 0.4, 19, 2/3, -2. -5, -3, -2, 0.4, 2/3, 19 Sort -3, -4, -5, -12707. -12707, -5, -4, -3 Sort 436, -0.7, -1, -0.8. -1, -0.8, -0.7, 436 Put 1.8, -1, 3, 1/7, -986, -3/8 in decreasing order. 3, 1.8, 1/7, -3/8, -1, -986 Sort 2, -5254, -0.55 in descending order. 2, -0.55, -5254 Sort 2, -577, 11, 4, 1, -3. -577, -3, 1, 2, 4, 11 Sort -5, -100, -631 in decreasing order. -5, -100, -631 Sort -2, -1181, -33 in increasing order. -1181, -33, -2 Sort 0.0635, 0.4, 1.89 in increasing order. 0.0635, 0.4, 1.89 Sort 0, 1, 98, -4, 2 in descending order. 98, 2, 1, 0, -4 Sort 60, -3, 4, -0.117 in increasing order. -3, -0.117, 4, 60 Sort 5, 4, -30, 3, 0, -3 in increasing order. -30, -3, 0, 3, 4, 5 Put -6/25, -737, -3/7 in ascending order. -737, -3/7, -6/25 Put 1/4, -5, -0.18, -2/7, -3, 43 in decreasing order. 43, 1/4, -0.18, -2/7, -3, -5 Sort -3, 5, 21, 3393 in descending order. 3393, 21, 5, -3 Put 2/225, 1/31, 49, -2, -0.3 in descending order. 49, 1/31, 2/225, -0.3, -2 Sort 4, 3, -5, -3, 6 in increasing order. -5, -3, 3, 4, 6 Sort -28, 0.09, -2/99 in increasing order. -28, -2/99, 0.09 Sort 37, -2, 1, 6, 0 in increasing order. -2, 0, 1, 6, 37 Sort -122, -14, -44, -4, 1. -122, -44, -14, -4, 1 Put 149, -364, 3 in increasing order. -364, 3, 149 Put 0.3, 2/9, 0.71273, 4/5, 2/3 in increasing order. 2/9, 0.3, 2/3, 0.71273, 4/5 Sort 3, -4/49, 23, 0.04 in descending order. 23, 3, 0.04, -4/49 Sort 1, 0, -1, 2/7, 2489 in descending order. 2489, 1, 2/7, 0, -1 Sort -0.21, 0.06, 2/5, -4, 4 in decreasing order. 4, 2/5, 0.06, -0.21, -4 Sort 67, 16, -5 in ascending order. -5, 16, 67 Sort 29/3, -5, -4, 0, -3/2, -313/6 in descending order. 29/3, 0, -3/2, -4, -5, -313/6 Sort 2, -4/5, -0.07, 33.2 in ascending order. -4/5, -0.07, 2, 33.2 Sort -6.8, 1/11, -241. -241, -6.8, 1/11 Put 4, 5, 26, 1 in ascending order. 1, 4, 5, 26 Sort -902, 2, 1, 3, 6 in descending order. 6, 3, 2, 1, -902 Put 0.28, -12, -9, 2/11, -3/2 in ascending order. -12, -9, -3/2, 2/11, 0.28 Sort 4, -1975, 86 in ascending order. -1975, 4, 86 Put -75, 4, -3, -23 in descending order. 4, -3, -23, -75 Sort 6/11, -39.18, -4 in increasing order. -39.18, -4, 6/11 Sort -4, -385, 1, -2, 11 in ascending order. -385, -4, -2, 1, 11 Put -214452, 0, -5 in ascending order. -214452, -5, 0 Put 0.25, -0.6, 3, 8, 1 in increasing order. -0.6, 0.25, 1, 3, 8 Sort -2/7, -2, -35, -0.2 in decreasing order. -0.2, -2/7, -2, -35 Put 164/3, 5, -0.1, -3.72 in increasing order. -3.72, -0.1, 5, 164/3 Put 20, -162, 17, 4 in descending order. 20, 17, 4, -162 Sort -2, -24, -12, -4, 4. -24, -12, -4, -2, 4 Put -4, -7, 0, 20 in descending order. 20, 0, -4, -7 Sort 2, -55, 34. -55, 2, 34 Sort
{ "pile_set_name": "DM Mathematics" }
4*i**2 Expand (3*a + 0*a - 5*a)*(a**3 - 14*a**3 - 5*a**3 + (0*a + 0*a + 4*a)*(-2 - 3*a**2 + 2)). 60*a**4 Expand (4*n**2 - 4*n**2 - n**3)*(663 - 315 - 196). -152*n**3 Expand -97*n**3 - 3*n**4 - 95*n**3 - 8 + 199*n**3 + (3 + 3 - 4)*(0*n**4 + 0*n**4 - 2*n**4) + 5*n**4 - n**4 - 2*n**4. -5*n**4 + 7*n**3 - 8 Expand (-3*n**3 - 27*n**2 - 79 + 77 + 5*n**3)*(-11*n - 13 + 13) - 1 + 1 - 2*n**4. -24*n**4 + 297*n**3 + 22*n Expand (2*s**4 + 0*s**4 + 3*s**4)*(0 + 5 - 6 - 1 + 0 - 1 + (-4 + 4 - 2)*(-4 + 5 - 2) + 0 + 3 - 1)*(6*s - 4*s - 4*s). -10*s**5 Expand (-22 + 8*g + 22)*(2*g - 3*g - 3*g)*(3*g**3 - 3*g**2 + 3*g**2). -96*g**5 Expand (5*z - 7*z + 3*z)*((2 - 3 - 4)*(z + 3*z - 3*z) - 2*z + 6*z + 2*z). z**2 Expand 5 - 5*d - 5 + (5*d + 3*d - 2*d)*(3 - 3 + 1) - 4*d - d + 3*d. -d Expand (28 - 44 + 24)*(2 - 3 - 1)*(4*z**2 - 3*z**2 + z**2). -32*z**2 Expand (-8*a**5 + 3*a**2 - 3*a**2)*(1 + 2 - 1) - 4*a**5 - 3*a**5 - 2*a**5 + (2 + 0 - 1)*(-a**5 + a**4 - a**4) + a**4 - a**4 + 2*a**5. -24*a**5 Expand ((4 + 0 - 3)*(5 - 3 + 0) - 1 + 3 + 0)*(5*u - 3*u - 6*u) - 2*u - 4*u - 2*u. -24*u Expand (-5*n + n + 2*n)*(n - n - n) - n**2 + 3*n - 3*n - 28*n**2 + 28*n**2 - 16 + 12*n**2 - 2*n. 13*n**2 - 2*n - 16 Expand (0*c**3 - c**3 + 0*c**3)*(-2*c - 3*c + 4*c) + 10*c**4 - 9114 + 9114 + 7*c. 11*c**4 + 7*c Expand (-2 + 0 - 2*c**4 + 4*c**4)*(2*c - c + 21*c). 44*c**5 - 44*c Expand 8 - 14*h**4 - 8 + (2*h**2 - 5*h**2 + 0*h**2)*(0 + 0 - 2*h**2) - 2*h**4 + 0*h**2 + 0*h**2. -10*h**4 Expand (5 - 2 - 2)*(y**2 + 2*y**3 - y**2)*(-y + 0 + 0 - 2*y - y + y + (4*y + 7 - 7)*(0 + 4 - 3)). 2*y**4 Expand -2*p**2 + p**5 + 2*p**2 + (-1 - 4 + 2)*(2*p**5 + 4*p - 4*p + (-3*p**4 + 5*p**4 - 4*p**4)*(2*p + 2 - 2) - 48*p**5 + 68*p - 67*p + 10*p**5). 121*p**5 - 3*p Expand (-68 + 46 + 45)*(-2*h + h + 0*h)*(2*h - 2*h - 2*h). 46*h**2 Expand (-2*u - 6*u - 19*u)*(-3*u**3 + 3*u**2 + 0*u**2 - 4*u**2 + 2*u**3 + 0*u**3 - 4*u**3 + (3*u**2 - 2*u**2 - 2*u**2)*(u + u - 3*u)). 108*u**4 + 27*u**3 Expand (-1 - 2*p**2 + 1)*(0 + 2*p + 0)*(10*p + 8*p - 16*p). -8*p**4 Expand (3*w**4 - w**4 + 0*w**4)*(3 + 3 - 5) - 319*w**4 + 119667*w**2 + 2*w**3 - 119667*w**2. -317*w**4 + 2*w**3 Expand -3*x**2 + 3*x**2 + 2*x**4 + (-2 + 0 + 0)*(-2*x**4 + 2*x**4 - 2*x**4) - 519*x + 259*x - x**4 + 258*x - 55. 5*x**4 - 2*x - 55 Expand -3*s**5 + 1 - 1 + 5*s**5 - s**5 + 0*s**5 + (-s**4 - 2*s**4 + 0*s**4)*(2*s - 4*s + 5*s). -8*s**5 Expand (3*i - 1 + 1)*(-4*i - i + 4*i) + 21*i**2 + 13*i**2 - 2*i**2 + (-3 + 0 + 1)*(-2*i + i**2 + 2*i). 27*i**2 Expand (-7*x - 17*x + 4*x)*(13*x + 10 - 5 - 11*x). -40*x**2 - 100*x Expand 6 + r**4 - 6 + (-r - 2 + 2)*(r**3 + r**2 - r**2) - 90 + 53*r**4 + 90. 53*r**4 Expand (4 - 4 - 3 + (-1 + 1 + 2)*(-1 + 3 + 0) + 4 - 1 - 2 + 0 + 0 + 2 + 1 + 3 - 7)*(0*u**5 + 0*u**5 - 2*u**5). -2*u**5 Expand (34*a**2 - 34*a**2 + 19*a**3)*(-3*a + 0*a + a)*(4*a - 4*a - 5*a). 190*a**5 Expand 0*d**3 + 2*d**4 + 0*d**3 + 77*d**4 + 30*d**4 - d**4 + (-2*d**2 + 5 - 5)*(-2 + 1 - 2*d**2 + 4). 112*d**4 - 6*d**2 Expand (5*a**2 - 2*a**2 + 3*a**2)*(44*a**2 + 11*a**2 - 35*a**2). 120*a**4 Expand (3*j - 3*j - j**2)*(16 + 8 - 5)*(3*j - 4*j - j)*(j + 6 - 4 - 4). 38*j**4 - 76*j**3 Expand (-7*t + 2*t + 3*t)*(-t + 3*t + 3*t)*(-37 + 84*t + 37). -840*t**3 Expand -14 + 295*d**4 - 5*d**5 - 295*d**4 + (-2*d**2 + 2*d**2 - d**3)*(4*d**2 + 3*d**2 - d**2). -11*d**5 - 14 Expand 203*h**2 - 2*h - h**4 - 95*h**2 - 95*h**2 + (-2*h**2 + 2*h**2 - 2*h**4)*(1 - 2 + 3) - h - 2*h**4 + h. -7*h**4 + 13*h**2 - 2*h Expand (3*u**2 + 2*u**2 - 4*u**2 - 2)*(6*u**2 + 534*u - 534*u)*(-5 - 1 + 5). -6*u**4 + 12*u**2 Expand (27*j + 75*j + 129*j)*(-2*j**3 + 0*j**3 - 2*j**3). -924*j**4 Expand (-1 + o**2 + 1)*(-11*o**2 + 46*o**2 + 25*o**2 + (1 + 0 + 0)*(-2*o**2 + 2 - 2)). 58*o**4 Expand f**3 + 2*f**2 - 2*f**2 + (-2*f**2 + 0*f**2 + 4*f**2)*(20*f + 5*f - 10*f). 31*f**3 Expand (4 - 4 + 5)*(5*h + 33*h - 66*h). -140*h Expand (4 + 1 - 3)*(-h**2 + 0*h**2 + 3*h**2)*(-12 + 17 + 19)*(0 + 1 + 0). 96*h**2 Expand (-7*j + 9*j + 26 - 3*j + (-2 + 2 + 1)*(-2*j + 5*j - j))*(-j - j + 0*j). -2*j**2 - 52*j Expand k**2 - 4*k**3 + 28 + 2*k**3 - 24 + k + (2*k**2 - 5*k + 5*k)*(0 + 0 + 2*k) + 1 - 1 + k**3. 3*k**3 + k**2 + k + 4 Expand (3*y**2 - 3*y + 3*y)*(-3*y**2 - 3*y**2 + 5*y**2) + (242 - 242 - 35*y**2)*(-3*y**2 + 4*y**2 - 2*y**2). 32*y**4 Expand 4*m - 3 + 0 + 0 - 2 + 5*m + 2 + (5*m + m - 4*m)*(2 + 4 - 4) - 2 + 2 + m. 14*m - 3 Expand (1 + 2 - 1)*(-3 + 2*z**5 + 3) - 2*z**5 + 3*z**5 + 4*z**5 + 23*z**5 - 21*z**5 + 26*z**5. 37*z**5 Expand (h**3 + h**3 - h**3 - h - h**3 + h - 2*h**3 - 4*h**3 + 5*h**3 + (5*h - h**2 - 5*h)*(h + 1 - 1) - 36 - 53*h**3 + 36)*(h - 4*h + 0*h). 165*h**4 Expand (-19*s - 9*s + 19*s)*(-s + 2*s - 10*s). 81*s**2 Expand 5*w + w - w - w - 5*w + 2*w + (5 - 4 + 0)*(-3*w - 9*w + w). -10*w Expand ((-2 - 3 + 6)*(-2*k + 2*k - k) - 2*k + k + 3*k - 2 + 2 - 6*k)*(-2775*k**3 - 2 + 2417*k**3 + 2). 1790*k**4 Expand (6*u - 6*u - 8*u)*(-4*u + 10*u + 14*u). -160*u**2 Expand (-27*s + 21*s - 23*s)*(0*s - s - 2*s)*(-5 + 3 - 3). -435*s**2 Expand (3*s + 79 - 79)*(0 + 0 + 2*s)*(5 - 1 - 3) - 11*s**2 - 6*s**2 - 5*s**2. -16*s**2 Expand (0*n**4 - 2*n**4 + 6*n**4)*(15 - 15 + 10) + (-3*n + 2*n + 3*n)*(4*n**3 - 3*n**3 + 0*n**3). 42*n**4 Expand -10 + 3*g**2 + 5*g**2 - 2*g**2 + (2*g - 2*g + 2*g**2)*(-3 + 3 + 1) - 4*g + 4*g + 2*g**2 - g**2 + g - g - g + g + 2*g**2 - g**2 + 5*g**2 - 3*g**2. 12*g**2 - 10 Expand 2*d**2 - 3*d**4 - 2*d**2 + 2*d**4 - 16*d**4 + 0*d**4 + (2*d**2 + 0*d**2 - d**2)*(-4*d**2 - d**2 + 3*d**2) + 2*d - 2*d - d**4. -20*d**4 Expand (2*y - 4*y + y)*(-3 - y**2 + 3) + 0*y**3 + 0*y**3 + y**3 - 4*y**2 + 2*y + 4 - 5*y**3 + 5*y**3 + 2*y**3. 4*y**3 - 4*y**2 + 2*y + 4 Expand -13*a - 78*a - 58*a + (3 - 2 + 1)*(-4*a - a + 4*a) + (-a - 2*a + a)*(-1 + 3 - 3). -149*a Expand ((2 - 4 + 1)*(-2 - 2 + 2) + 1 + 3 - 5)*(2*b + 2*b - 2*b)*(20*b**2 + 2328*b - 2328*b). 40*b**3 Expand (-2*c**4 + 0 + 0)*(-4 + 0 + 3)*(170 - 34 + 30). 332*c**4 Expand (6*g**3 + 56*g - 17*g**3 - 57*g)*(g + g + 2*g). -44*g**4 - 4*g**2 Expand (-3 + 6 - 1)*(3*l**5 - l**2 + l**2) + 12*l**5 - 72 + 5 + 39. 18*l**5 - 28 Expand 18*y + 2*y**3 - 18*y + (-4*y**2 - 1 + 1)*(-3*y + y + y). 6*y**3 Expand (-149*b**2 + 21*b**2 + 0*b**2)*(b + 2*b + 2*b). -640*b**3 Expand (-36 + 34 + t - 4*t)*(-t - 1 + 1 - 3*t + t + 4*t - t - t + 3*t + t - t + 2*t + (3*t - 2*t - 3*t)*(0 + 2 - 1) + t + t - t). -9*t**2 - 6*t Expand ((3*s - 4*s + 2*s)*(0*s + 0*s + 2*s) + (-4*s + 23 - 23)*(-9*s - 11*s + 11*s))*(s**3 + 0*s**3 + 0*s**3). 38*s**5 Expand (-39 + 54*s**2 + 39)*((-10 + 3*s + 10)*(1 - 6 + 3) + 2*s + 2*s - 3*s). -270*s**3 Expand (-57*f + 64*f + 29*f)*((-2 + 2 + 1)*(0*f**3 - 3*f**3 + 5*f**3) + 2*f**3 + f**3 - f**3 + 0*f**2 + 0*f**2 + 2*f**3). 216*f**4 Expand (-1 + 4 - 2)*(-4*p**2 - 3 + 3 + (0*p + 3*p - p)*(6*p - p + 3*p)). 12*p**2 Expand (56 - 56 - 52*b**5)*(-1 + 4 + 6 - 1). -416*b**5 Expand (0*o**2 - 3*o**2 + o**2)*(24*o - 14*o + 35*o). -90*o**3 Expand -112*t + 61*t - 3 + 56*t + 3 - t - 3 + (t + 1 - 1)*(1 + 0 - 3). 2*t - 3 Expand (-12 - 2 - 4)*(0 + 0 - 2*u)*(8*u - 8*u - 5*u**2). -180*u**3 Expand -o + 4*o - 2*o + (3 - 42 + 14)*(4*o - 5*o + 0*o). 26*o Expand (-1 - 1 + 3)*(2*l - 2*l - l) + 1 - 1 - 2*l - 32*l - 105*l + 82*l. -58*l Expand (-38*n**2 + 329*n**2 - 27*n**2 + (n + 0*n + n)*(3*n - 3*n + n) + 5*n**2 + 2*n**2 - 4*n**2)*(-2 + 3 - 2)*(2*n - 2*n - 2*n). 538*n**3 Expand (0*o**2 + 2*o**2 + 0*o**2)*(80*o + 0 - 108*o + 1). -56*o**3 + 2*o**2 Expand (-2 + 3 - 2)*(2*k**2 - 2*k**2 - 2*k**2) + (-14*k**2 + 7*k**2 - 11*k**2)*(-4 + 2 + 1). 20*k**2 Expand (-143 - 129 + 71)*(2*b**4 + b**4 + 0*b**4). -603*b**4 Expand (1 - 7 + 2)*(-s + 6*s + 5*s)*(-2 + 1 + 2)*(-5*s**2 + s**2 - 2*s**2). 240*s**3 Expand (317 + 236 + 131 + 291 + 172)*(h**5 + 0*h**5 - 3*h**5). -2294*h**5 Expand (-b**3 + b**3 - 2*b**3 + (6*b - 3*b - b)*(-b + b - 2*b**2) - 10*b - 3*b**3 + 10*b)*(3*b**2 + 6*b**2 - 5*b**2). -36*b**5 Expand (-125*b - 7 + 223*b - 33*b)*(b**4 - 4*b**4 + 4*b**4). 65*b**5 - 7*b**4 Expand -u**3 - 2*u**2 + 2*u**2 + (216*u - 216*u - 18*u**2)*(3 + 2*u - 3). -37*u**3 Expand (-6*s**3 + 4*s**3 + s**3)*(-2*s**2 + s**2 - 4*s**2 + (-5 + 2 + 1)*(-s + 2*s**2 + s) - 2*s**2 + 0*s**2 + 0*s**2) + 0*s**5 - 26*s**5 + 3*s**5. -12*s**5 Expand 0*a + 4*a - 3*a + (3*a + 3*a - 5*a)*(1 - 2 + 3) + (a - 2*a + 5*a)*(-3 + 1 + 4) - a + 0*a + 0*a. 10*a Expand (-h - 6*h
{ "pile_set_name": "DM Mathematics" }
ded by f? 7 Let a = -3563 - -4497. Calculate the remainder when a is divided by 233. 2 Let z be (2/(-8)*-4)/((-12)/48). What is the remainder when -24*2/6*101/z is divided by 41? 38 Let s(o) = o + 20. Let j be s(-17). Suppose -v - j = 0, 0 = 6*x - 3*x + 2*v - 18. Suppose 2*d + 2*d = 52. What is the remainder when d is divided by x? 5 Let w(q) = q - 4. Let o be w(6). Suppose v - 27 = -o*v. Suppose 67*y - 13*y - 26*y = 476. What is the remainder when y is divided by v? 8 Let h(q) = -67*q + 5. Suppose -197*f - 6256 = -381*f. Calculate the remainder when h(-8) is divided by f. 31 Let y = -3 + 7. Suppose 3*r + 4*k + 68 - 238 = 0, -r = k - 57. Suppose r = 2*f + 4*s, 2*s = -f + y*s + 25. Calculate the remainder when 80 is divided by f. 26 Let r = -5 - -16. Let v = -57 + 129. Suppose -7*l = 10*k - 6*k - v, 0 = k + 2*l - 18. What is the remainder when k is divided by r? 7 Suppose -9*x - 3 = -12*x + 4*p, 6 = -4*x + 2*p. Let u(f) = 9*f**2 - 5*f - 9. What is the remainder when 256 is divided by u(x)? 82 Suppose -115*p + 117*p - 32 = 0. Calculate the remainder when 250 is divided by p. 10 Suppose 0*m + 2*l = -2*m + 16, 5*m - 8 = 3*l. Suppose 51 = 4*k + 5*o - m, -k = 5*o - 10. Let a = 68 - k. What is the remainder when a is divided by 20? 13 Let g = 6 - 4. Let u be 7/(35/2)*15/2. Suppose y + 2*y - u = -g*a, -y = 5. What is the remainder when 42 is divided by a? 6 Let h(w) = 5*w**2 - 113*w - 22. What is the remainder when 839 is divided by h(23)? 23 Suppose -2*x + 3 = -2*s + 19, -8*s + x = -57. What is the remainder when 2153 is divided by s? 4 Let u(r) = 4 + 9*r - 5*r + 0*r**3 - 2*r**3 + 3*r**3 - 6*r**2. Let c be u(5). What is the remainder when 2 - 4 - -5 - c is divided by 4? 0 Let w(v) = 43*v - 102. Let j(p) = -65*p + 149. Let s(g) = -5*j(g) - 7*w(g). Suppose h + 3 = 2*h. Calculate the remainder when s(h) is divided by 11. 8 Suppose 6*o = 1295 + 2533. Suppose o = 24*m - 130. Calculate the remainder when m is divided by 22. 10 Suppose -2*x - 66 = -5*x. Suppose k - 128 = -136*m + 142*m, k - m - 113 = 0. Calculate the remainder when k is divided by x. 0 Suppose -26 = -3*r - 4*q - 3, -2*r + 3*q - 13 = 0. What is the remainder when 26 is divided by 14/(-10)*-5 - (-2 - r)? 6 Let o = 9420 - 9402. Suppose -4*s + 564 = 4*z, -5*z + 3*z + 2 = 0. Suppose 0 = 2*f - 0*f - s. What is the remainder when f is divided by o? 16 Suppose -14 = -27*y + 13. Let i = 9 + 0. Calculate the remainder when 4/(-10) + 217/5 + y is divided by i. 8 Suppose -48*b - 70*b - 43*b = -59248. What is the remainder when b is divided by 9? 8 Let m = 181 + 325. Suppose -4*i + m - 66 = 0. Calculate the remainder when i is divided by 31. 17 Suppose -18*o + 690 + 750 = 0. Suppose 0 = 2*q + 178 - 196. Calculate the remainder when o is divided by q. 8 Let c(y) = -105*y - 1282. What is the remainder when 1783 is divided by c(-15)? 25 Let k(c) = c**3 - 51*c**2 + 61*c - 547. Calculate the remainder when 137 is divided by k(50). 2 Suppose -457 + 95 = 3*k + r, -346 = 3*k + 5*r. What is the remainder when (-458)/(-4) - (-183)/k is divided by (-4)/(-14) - (-528)/14? 37 Suppose -5*q + 2*p = -289 + 83, 3*p - 191 = -5*q. Suppose -2*m - 33 = -5*m. What is the remainder when q is divided by m? 7 Suppose 3211 = -374*a + 387*a. What is the remainder when a is divided by 76? 19 Let u(m) = -m**2 - 20*m + 68. Let n be u(3). What is the remainder when (-10 + (-81)/(-6))*(n + 5) is divided by 13? 1 Let j = 68 + -20. Suppose -4*c - 3 - 2 = -5*q, -5*c + 4*q - 13 = 0. Let u = j + c. What is the remainder when 170 is divided by u? 41 Suppose 2*y + 7 = h + 5*y, 4*h - 2*y = 0. Calculate the remainder when (7 + -6)*(-1 + h*128) is divided by 19. 13 Suppose -3*d = 3*z - 432, d + 2 = -31*z - 4. Calculate the remainder when 2667 is divided by d. 134 Calculate the remainder when 10439 is divided by 794/11 + (-8 - ((-2236)/22)/13). 71 Let f = 5 - -13. Suppose -7*x - f = -10*x. What is the remainder when 8 is divided by x? 2 Suppose -35*p = 33*p - 1156. Calculate the remainder when 246 is divided by p. 8 Let j(n) = 13*n - 29. Suppose 2*q - y = -7, 3*y - 6 = -4*q + 5. Let u be (6/7)/(q/(-7)). Calculate the remainder when j(u) is divided by 10. 9 Let h(m) = 6*m**2 + m. Let q(k) = 149*k**2 + 117*k - 9. Calculate the remainder when q(-2) is divided by h(-3). 47 Let q be (-415)/(-30) + (-1)/(-24)*4. Suppose -394 = -17*k + q*k - 4*u, -12 = -3*u. What is the remainder when 494 is divided by k? 116 Let w = 10289 - 10142. Calculate the remainder when 4408 is divided by w. 145 Let n(p) = -p**3 - 15*p**2 + 11*p - 74. Let k be n(-16). Suppose 5*v = -u + k*u - 75, 0 = 5*u + 5*v - 45. What is the remainder when 20 is divided by u? 8 Let g(a) be the third derivative of a**5/60 - 5*a**4/24 + 7*a**3/6 + 24*a**2. Let j be g(7). Let s = j + -11. Calculate the remainder when 17 is divided by s. 7 Let n = 6 - 2. Suppose -195 + 174 = -3*s. Suppose 15*l - 112 = s*l. What is the remainder when l is divided by n? 2 Suppose 4*u + 4*i - 268 = 0, 30*u - 26*u - 7*i = 323. Calculate the remainder when u is divided by 29. 14 Calculate the remainder when (-3)/(-5) - (2 + 1447/(-5)) is divided by 988/273*14 + 4/(-6). 38 Let q(b) = -2*b**3 - 17*b**2 + 23*b + 169. Calculate the remainder when q(-13) is divided by 92. 11 Let s = 5398 + -5379. What is the remainder when 2615 is divided by s? 12 Suppose -3 = -i + 29. Suppose -6 = 6*u - 2280. Let o = 502 - u. Calculate the remainder when o is divided by i. 27 Suppose 0 = -3*u + 2*l - 175 + 1455, u - 405 = 5*l. Suppose u = 5*k - 0*k - 5*z, 0 = -k + 3*z + 76. What is the remainder when k is divided by 31? 29 Suppose 2*t + 15*i = 19*i + 832, 418 = t - i. Let d = t + -387. Suppose 5*h = -3*f + 56, 0*h + h = -4*f + 52. Calculate the remainder when d is divided by f. 9 Let p = 1648 - 1622. Let d(w) = -128*w - 1. Let k be 2/(-11) - (-9)/(-11). Calculate the remainder when d(k) is divided by p. 23 Let f be 10/12*(-12)/(-2). Suppose -5*v = f, 0 = -0*y + y - 5*v - 40. Calculate the remainder when y is divided by 20. 15 Let r(c) = c + 12. Suppose -2*d = 8, -4*h - 2*d = h + 193. Let q = h + 76. Calculate the remainder when q is divided by r(9). 18 Let p = 229 - 417. Let o = 456 + p. Calculate the remainder when o is divided by 15. 13 Suppose 0*b + 56 = 4*b. Calculate the remainder when (180360/780 + 6/(-26))/(2 - 1) is divided by b. 7 Suppose -31*d - 68560 = -86633. Suppose -v = 5*c - 58 - 35, 3*v = -5*c + 239. Calculate the remainder when d is divided by v. 72 Let w(u) = 8*u**2 + 2481*u + 7421. Let c = 1286 - 638. Calculate the remainder when c is divided by w(-3). 48 Let l be 44/12 + 2/(-3). Suppose -v - l*v - v = 0. Suppose v = -0*g + 2*g - 282. Calculate the remainder when g is divided by 13. 11 Let g(r) = -r**2 + 49*r - 259. Calculate the remainder when 21627 is divided by g(7). 32 Suppose -15*r = -4*r - 22. Let q(a) = -7 + 541*a**r - 538*a**2 - 2*a + 0*a. What is the remainder when q(4) is divided by 10? 3 Let j(m) = 12*m + 4. Let k be j(-3). Let g = 72 + k. Suppose 12*a - 70 = 7*a. Calculate the remainder when g is divided by a. 12 Suppose 5*k - 384 - 1 = 0. Calculate the remainder when k is divided by (-144)/15*(-6 - 208/(-48)). 13 Let m = -1715 + 1719. Suppose -3*j = 3*n - 51, -7*j + 3*n + 21 = -m*j. Let s(o) = 5*o**2 - 3*o + 4. Calculate the remainder when s(-3) is divided by j. 10 Let x be 2 + (-52969)/(-4) + 9/12. Let h = 7939 - x. What is the remainder when h/(-49) - (-2 - 32/(-14)) is divided by 37? 34 Suppose 5*y + 0*o - 994 = 4*o, -5*y - 2*o + 988 = 0. Calculate the remainder when 40 is divided by (y/(-45) - -2)/((-4)/10). 4 Suppose -156*o = 41*o - 63040. What is the remainder when 329 is divided by o? 9 Let y(x) = x - 19. Let c be y(22). Suppose -3*n - 2*s - c = -25, -5*s = n - 16. Calculate the remainder when 11 is divided by n. 5 Let z(d) = 24*d - 1021. Calculate the remainder when z(46) is divided by 15. 8 Suppose 3*c + 2*m - 758 = 0, 5*c + 17*m - 1247 = 16*m. Calculate the remainder when 687 is divided by c. 191 Suppose 80*k - 81*k + 292 = 2*u, 5*u = 5*k + 790. Let v(y) = -y + 1. Let o be v(-5). Suppose 21*a - u = o*a. Calculate the remainder when 137 is divided by a. 7 Suppose 0 = -5*y + 4*u + 95, 7*y - 50 = 3*y - 2*u. Let j be (3 + (-50)/y)*6. Calculate the remainder when 89 is divided by (-2 - -3) + (j -
{ "pile_set_name": "DM Mathematics" }
= 4*a, 2*a + 390 = -2*p. Let n = p - -91. Let z = n + 160. What are the prime factors of z? 2, 3 Suppose 5*d - 12*b - 260 = -8*b, 0 = -13*d + 3*b + 676. Let r be (-2)/8 - (-246)/(-8). Let c = r + d. List the prime factors of c. 3, 7 Suppose 2*x - 5*h - 9922 = 0, -10*h = x - 5*h - 4946. Suppose 6*q = 3186 + x. What are the prime factors of q? 23, 59 Suppose 0*h - h + 1 = 0, 0 = -3*n + 2*h + 13792. List the prime factors of n. 2, 11, 19 Let a = 1318 - 3968. List the prime factors of (a/(-159))/((-4)/(-186)). 5, 31 Let q(w) = -1050*w**3 + w**2 + 142*w + 404. What are the prime factors of q(-3)? 43, 659 Let a(v) = 3*v**2 - 27*v + 36. Let n be a(8). Let b(i) be the first derivative of -i**4/4 + 13*i**3/3 + 17*i - 4. What are the prime factors of b(n)? 7, 23 Let z(d) = -d**2 - d - 1. Let g be z(-5). Let n = g + 23. Suppose j - 77 = -4*v, -j - 2*v = n*j - 191. What are the prime factors of j? 61 Let j(v) = -3*v**2 + 13*v + 109. Let d be j(-17). Let h = d - -1680. List the prime factors of h. 701 Suppose 402508 - 225728 = 111*n - 409744. What are the prime factors of n? 2, 1321 Let k = 1202 + 1318. Suppose -45*h - k = -51*h. List the prime factors of h. 2, 3, 5, 7 Let l(f) = 778*f - 2654. List the prime factors of l(7). 2, 349 Let x = 514 + 180. Suppose 2*v - x = -4*r, 6*r = v + 4*r - 367. What are the prime factors of v? 3, 7, 17 Suppose -5*c - 14184 = -4*y, -4*y + 14184 = -0*c + 4*c. Suppose -8*v - 426 = -y. What are the prime factors of v? 2, 3, 5, 13 Let s = 190 + -190. Let f(v) = -v**3 + v**2 - 2*v + 360. List the prime factors of f(s). 2, 3, 5 Let b = 29189 - 9704. What are the prime factors of b? 3, 5, 433 Let h(a) = a**3 + 23*a**2 + 72*a - 42. Let b be h(-18). Suppose -b - 1503 = -7*q. What are the prime factors of q? 3, 5, 17 Let s = -1824 - -1274. Let f = -187 - s. List the prime factors of f. 3, 11 Let o(z) = -z**2 + 7*z - 2. Let q be o(6). Suppose -q*u = -28*k + 25*k - 3774, 5*u + 3*k - 4731 = 0. What are the prime factors of u? 3, 5, 7 Let a(w) be the second derivative of -19*w**3/6 - 81*w**2/2 + w + 8. What are the prime factors of a(-12)? 3, 7 Let o = 9871 + 6332. List the prime factors of o. 3, 11, 491 Suppose -243*o + 1351861 = -5233925. List the prime factors of o. 2, 3, 4517 Let w = 36433 + -11676. What are the prime factors of w? 19, 1303 What are the prime factors of (-97337)/(-9) + 11 + 606/(-54)? 3, 5, 7, 103 Let x(k) = 2*k**2 - 12*k + 1. Let z(y) = -y. Let i(s) = x(s) - 2*z(s). Let w be i(5). List the prime factors of (w - 4) + (73 - 11). 59 Let d(b) = -308*b + 457. Let k be d(-7). Suppose 2*z - 7*z - o + k = 0, -4*o - 2623 = -5*z. List the prime factors of z. 523 Let n(f) = 6219*f + 6440. What are the prime factors of n(4)? 2, 7829 Let w = -996 + 3844. Suppose 0*u = -8*u + w. What are the prime factors of u? 2, 89 Suppose -y = 4 + 3. Let c be (-667)/y - (-10)/(-35). Suppose 2*f - 257 = -c. What are the prime factors of f? 3 Let h(j) = -2*j**2 + 9*j + 42. Let f(d) = d**2 - 9*d - 44. Let q(m) = -3*f(m) - 4*h(m). List the prime factors of q(-9). 2, 3, 5 Let z(u) = -45*u**2 + 5*u + 7. Let i(n) = 22*n**2 - 3*n - 4. Let f(l) = 11*i(l) + 6*z(l). Let t be f(-1). Let r = t - -63. What are the prime factors of r? 2, 3 Suppose y = -3*m + 4, 3*y + 0*m - 2*m = 12. Suppose 0 = d - 6 + y. List the prime factors of (-4)/d*4/(40/(-525)). 3, 5, 7 Suppose 3*p = d + 2170, -5*p + 3620 = 28*d - 29*d. What are the prime factors of p? 5, 29 Let v be 4 - (((-12)/(-4))/3 - -1). Let q be (24/15 - v)/(4/(-120)). Suppose k + q = 33. What are the prime factors of k? 3, 7 Let w(r) = r**2 - 3*r - 6. Let h be w(5). Suppose h*m - 3016 = -y - 2*y, -4*m + 3008 = y. What are the prime factors of m? 751 Let b = 44259 - 20927. List the prime factors of b. 2, 19, 307 Let f = -16 + 33. Suppose -28 - f = -5*u. Let k(d) = -d**3 + 9*d**2 + 6*d + 2. What are the prime factors of k(u)? 2, 7 What are the prime factors of (6012721/44)/19 + (-2)/8? 2, 29, 31 Suppose 0 = -5*a + x - 115 - 43, 2*x + 100 = -3*a. Let g be (-328)/a - ((-7)/4 + 2). Suppose -74 = -2*o - g. What are the prime factors of o? 2 Let v = 6364 + -3378. What are the prime factors of v? 2, 1493 Suppose 31 = 2*i + y, -7*i - 50 = -10*i + 2*y. Suppose i = -2*t + 42. Suppose 0 = -11*j + t*j - 166. What are the prime factors of j? 83 Let g be (713/46)/(((-6)/4)/(-3)). Suppose -4 = -k + g. What are the prime factors of k? 5, 7 Let x = -568 + 1238. What are the prime factors of x? 2, 5, 67 Let i be 1341 - (-8 + 2 + 4). Let r = i + -949. List the prime factors of r. 2, 197 Suppose -2264 = -84*c + 88*c. Let v = 858 + c. List the prime factors of v. 2, 73 Let y(h) be the first derivative of h**3/3 - h**2/2 + 86*h + 31. Suppose 0 = t + t. List the prime factors of y(t). 2, 43 Suppose 141*r = -23*r + 1660664. What are the prime factors of r? 2, 61, 83 Suppose -464*g + 480*g - 154160 = 0. List the prime factors of g. 5, 41, 47 Let g(h) = h**2 + 18*h + 9. Let t be g(-16). Let d = t + 8. List the prime factors of (-1397)/d + (32/60)/(-4). 3, 31 Suppose 64*x = 35*x + 145. Suppose 2*m - 210 = 4*s, -m + x + 85 = s. What are the prime factors of m? 5, 19 Suppose -3 = 3*s, 4*y - 7*s + 2*s = 241. Let g = y - 29. Let f = g + 17. What are the prime factors of f? 47 Suppose 47337 = 5*b + p, -47*b + 47365 = -42*b + 5*p. What are the prime factors of b? 2, 4733 Suppose 16*b - 17*b = -4*o + 76, 0 = 4*o - 3*b - 68. List the prime factors of 1336 + -1 + 4*o/(-16). 2, 5, 7, 19 Suppose -236*j + 505450 = -181*j. What are the prime factors of j? 2, 5, 919 Let l(f) = 5*f**2 + f + 856. Let q(z) = 12*z**2 + 3*z + 1714. Let t(w) = 5*l(w) - 2*q(w). List the prime factors of t(0). 2, 3, 71 Let n(i) = i**2 - 31*i - 10. Let l = -80 - -69. What are the prime factors of n(l)? 2, 113 Let h = 33722 - 22838. What are the prime factors of h? 2, 3, 907 Let o(z) = 917*z**2 + 102*z + 397. List the prime factors of o(-5). 2, 3, 1901 What are the prime factors of (2525/30)/(29/348)? 2, 5, 101 Let j(l) = 2*l - 20. Let m be j(11). Suppose -4*b + m*b = -4, 2*b - 88 = 2*y. What are the prime factors of (-2)/7 - 306/y? 7 Suppose 2*u = q + 3 + 24, 5*q - 9 = u. Let j = u - 15. What are the prime factors of (-21 + 1)*j/(-2)? 2, 5 Suppose 24*r + 12 = 20*r. Let w be (21/r + 3)*5/(-4). Suppose w*f = 131 + 89. What are the prime factors of f? 2, 11 Suppose 5*p - 3*q = 49863, -2*q + 32848 + 7016 = 4*p. What are the prime factors of p? 3, 3323 Suppose -3*x - 3*k - 9 = 63, 2*x = 4*k - 18. Let c = 15 + x. List the prime factors of 48/((-4)/c - 0). 2, 3 Let u = -46538 - -70366. What are the prime factors of u? 2, 7, 23, 37 Let p = 2890 - 1555. What are the prime factors of p? 3, 5, 89 Let g(d) = 4*d + 50. Let x be g(-17). What are the prime factors of (-19 - -22)*(-3)/x*998? 499 Suppose -215*x = -303*x - 389*x + 7968762. List the prime factors of x. 2, 8353 What are the prime factors of (((-6399)/648)/((-1)/8))/(2/138)? 3, 23, 79 Suppose 119*s - 134*s + 117225 = 0. What are the prime factors of s? 3, 5, 521 Let n be ((-2)/4)/(1/54). Let x be 71 - 0/(1/(-1))*12/12. Let f = x - n. What are the prime factors of f? 2, 7 Suppose 85*j - 36*j - 12440 = 41*j. List the prime factors of j. 5, 311 Let h be 4/3 + (-1)/((-9)/2634). Suppose -2*t + k + h = 0, 4*t - k - 692 = -108. Let s = t + 54. What are the prime factors of s? 199 Suppose 2*o + 7 = -3*k, 0*o - 2*o + 33 = -5*k. What are the prime factors of -1*(41*-9 - o)? 373 Let c be ((-5)/10)/(1/578). Let r = c + 715. What are the prime factors of r? 2, 3, 71 Suppose -18*z + 46*z - 103096 = 0. What are the prime factors of z? 2, 7, 263 Suppose 36*l + 2080 = 20*l. List the prime factors of (-2 + -76)/(30/l). 2, 13 Suppose 4*w = -2*r - 0*r + 8, -r = 3*w - 5. Suppose r*d = -27*b + 25*b + 666, -4*d = -b - 1357. List the prime factors of d. 2, 13 Suppose -3*i + 4*m + 29254 = 0, 0 = -4*i - 42*m + 40*m + 38998. List the prime factors of i. 2, 3, 5, 13 Let d = -16180 - -25868. List the prime factors of d. 2, 7, 173 Suppose -6*j + 7 = -7*j, 0 = o + 4*j - 28513. List the prime factors of o. 28541 Suppose -4*p - 20904 = -5*k, -3*k + 18777 - 6241 = 4*p. List the prime factors of k. 2, 5, 11, 19 Let n = -4837 - -8394. List the prime factors of n. 3557 Suppose -182*h + 6930172 + 3099380 = 3487198. List the prime factors of h. 103, 349 Let p be 1
{ "pile_set_name": "DM Mathematics" }
d'th term of -193, -194, -195, -196, -197? -d - 192 What is the j'th term of -407, -814, -1221, -1628, -2035? -407*j What is the y'th term of 52, 76, 140, 262, 460? 3*y**3 + 2*y**2 - 3*y + 50 What is the i'th term of -204, -401, -602, -807, -1016, -1229, -1446? -2*i**2 - 191*i - 11 What is the f'th term of -44, -42, -40, -38? 2*f - 46 What is the k'th term of -215, -420, -623, -824, -1023, -1220? k**2 - 208*k - 8 What is the i'th term of 14, 7, -10, -43, -98, -181, -298, -455? -i**3 + i**2 - 3*i + 17 What is the g'th term of -56, -36, -2, 52, 132, 244, 394, 588? g**3 + g**2 + 10*g - 68 What is the a'th term of 473, 1896, 4267, 7586, 11853, 17068, 23231? 474*a**2 + a - 2 What is the j'th term of 4115, 4117, 4119, 4121, 4123, 4125? 2*j + 4113 What is the n'th term of -10, -2, 12, 32? 3*n**2 - n - 12 What is the i'th term of 64, 56, 50, 46, 44, 44, 46? i**2 - 11*i + 74 What is the r'th term of -82, -238, -398, -568, -754? -r**3 + 4*r**2 - 161*r + 76 What is the b'th term of 512, 1023, 1534, 2045? 511*b + 1 What is the h'th term of -383, -366, -349, -332? 17*h - 400 What is the h'th term of 3569, 3566, 3563, 3560, 3557? -3*h + 3572 What is the m'th term of -723, -724, -725, -726? -m - 722 What is the g'th term of -25, -30, -33, -34, -33? g**2 - 8*g - 18 What is the i'th term of 7, 13, 23, 37? 2*i**2 + 5 What is the a'th term of -1179, -2357, -3533, -4707, -5879? a**2 - 1181*a + 1 What is the t'th term of 0, -12, -28, -42, -48, -40, -12, 42? t**3 - 8*t**2 + 5*t + 2 What is the i'th term of 9, 54, 161, 360, 681, 1154, 1809? 5*i**3 + i**2 + 7*i - 4 What is the q'th term of -275, -548, -821, -1094? -273*q - 2 What is the o'th term of -8, 15, 52, 109, 192? o**3 + o**2 + 13*o - 23 What is the v'th term of 59, 55, 49, 41? -v**2 - v + 61 What is the u'th term of 10, 26, 42, 58, 74, 90? 16*u - 6 What is the n'th term of -43, -35, -23, -7? 2*n**2 + 2*n - 47 What is the i'th term of 5786, 23152, 52096, 92618, 144718? 5789*i**2 - i - 2 What is the j'th term of 43, 88, 131, 172, 211, 248, 283? -j**2 + 48*j - 4 What is the i'th term of 45, 172, 383, 678, 1057, 1520? 42*i**2 + i + 2 What is the g'th term of -205, -204, -203, -202? g - 206 What is the v'th term of 85, 98, 127, 178, 257, 370, 523? v**3 + 2*v**2 + 82 What is the b'th term of -863, -1719, -2555, -3365, -4143, -4883, -5579? b**3 + 4*b**2 - 875*b + 7 What is the c'th term of -114, -234, -354? -120*c + 6 What is the s'th term of -6, -12, -22, -36? -2*s**2 - 4 What is the k'th term of -394, -786, -1178? -392*k - 2 What is the j'th term of 6, 13, 22, 33, 46, 61, 78? j**2 + 4*j + 1 What is the u'th term of -34, -91, -180, -301, -454? -16*u**2 - 9*u - 9 What is the v'th term of -5, -27, -35, -23, 15, 85, 193? v**3 + v**2 - 32*v + 25 What is the h'th term of 67, 89, 111, 133, 155, 177? 22*h + 45 What is the z'th term of -38, -36, -24, 4, 54, 132, 244? z**3 - z**2 - 2*z - 36 What is the w'th term of -110, -106, -100, -92, -82? w**2 + w - 112 What is the h'th term of 60, 60, 56, 48, 36, 20? -2*h**2 + 6*h + 56 What is the s'th term of 0, 3, -8, -45, -120, -245? -2*s**3 + 5*s**2 + 2*s - 5 What is the o'th term of -91, -101, -111, -121? -10*o - 81 What is the b'th term of -23, -30, -45, -68, -99, -138, -185? -4*b**2 + 5*b - 24 What is the j'th term of 24, 46, 66, 84, 100, 114? -j**2 + 25*j What is the f'th term of -258, -254, -248, -240, -230, -218, -204? f**2 + f - 260 What is the w'th term of 0, 4, -14, -66, -164, -320, -546? -2*w**3 + w**2 + 15*w - 14 What is the x'th term of -677, -672, -655, -620, -561, -472, -347, -180? x**3 - 2*x - 676 What is the v'th term of -240, -957, -2152, -3825? -239*v**2 - 1 What is the h'th term of 158, 154, 148, 140, 130? -h**2 - h + 160 What is the d'th term of 101, 117, 133? 16*d + 85 What is the h'th term of -94, -388, -894, -1624, -2590, -3804? -2*h**3 - 94*h**2 + 2*h What is the v'th term of 34, 17, -12, -59, -130? -v**3 - 10*v + 45 What is the s'th term of -1162, -1165, -1170, -1177, -1186, -1197? -s**2 - 1161 What is the t'th term of -44, -99, -156, -215, -276? -t**2 - 52*t + 9 What is the n'th term of 36, 70, 104, 138? 34*n + 2 What is the n'th term of 1063, 1047, 1029, 1009, 987? -n**2 - 13*n + 1077 What is the j'th term of -6656, -13311, -19966? -6655*j - 1 What is the n'th term of 44, 157, 274, 395, 520, 649? 2*n**2 + 107*n - 65 What is the o'th term of 541, 544, 547, 550? 3*o + 538 What is the b'th term of -975, -1078, -1179, -1278, -1375, -1470? b**2 - 106*b - 870 What is the m'th term of -160, -617, -1384, -2467, -3872, -5605? -m**3 - 149*m**2 - 3*m - 7 What is the u'th term of 254, 251, 248, 245? -3*u + 257 What is the j'th term of 4, -5, -26, -65, -128, -221, -350? -j**3 - 2*j + 7 What is the u'th term of 1428, 1443, 1458, 1473, 1488? 15*u + 1413 What is the r'th term of -337, -340, -347, -358, -373? -2*r**2 + 3*r - 338 What is the r'th term of -1, 20, 57, 110, 179, 264, 365? 8*r**2 - 3*r - 6 What is the l'th term of -905, -1809, -2711, -3611, -4509, -5405? l**2 - 907*l + 1 What is the c'th term of -21, -47, -87, -147, -233, -351? -c**3 - c**2 - 16*c - 3 What is the b'th term of -107, -118, -143, -188, -259? -b**3 - b**2 - b - 104 What is the a'th term of -11, -55, -131, -239, -379, -551, -755? -16*a**2 + 4*a + 1 What is the u'th term of -667, -775, -961, -1231, -1591, -2047? -u**3 - 33*u**2 - 2*u - 631 What is the h'th term of 349, 347, 345, 343, 341? -2*h + 351 What is the j'th term of 38, 58, 52, 8, -86, -242, -472? -2*j**3 - j**2 + 37*j + 4 What is the y'th term of -38, -70, -88, -86, -58, 2, 100? y**3 + y**2 - 42*y + 2 What is the n'th term of -130, -133, -138, -145? -n**2 - 129 What is the v'th term of 43, 49, 67, 103, 163? v**3 - v + 43 What is the k'th term of -2, 18, 56, 112, 186? 9*k**2 - 7*k - 4 What is the f'th term of -39, -26, -5, 24, 61? 4*f**2 + f - 44 What is the b'th term of 178, 172, 164, 154, 142, 128? -b**2 - 3*b + 182 What is the k'th term of -774, -752, -708, -636, -530? k**3 + 5*k**2 - 780 What is the i'th term of -25, -17, 3, 41, 103, 195, 323, 493? i**3 + i - 27 What is the t'th term of -15, -6, 3, 12, 21? 9*t - 24 What is the s'th term of 32, 31, 30, 29, 28, 27? -s + 33 What is the p'th term of 55, 112, 169, 226, 283, 340? 57*p - 2 What is the d'th term of -16, -29, -52, -85, -128, -181, -244? -5*d**2 + 2*d - 13 What is the w'th term of -2150, -4305, -6462, -8621, -10782? -w**2 - 2152*w + 3 What is the m'th term of 66, 49, 26, -3? -3*m**2 - 8*m + 77 What is the k'th term of 372, 400, 428, 456? 28*k + 344 What is the p'th term of -17, -32, -45, -56, -65, -72, -77? p**2 - 18*p What is the p'th term of 10, -5, -46, -119, -230? -p**3 - 7*p**2 + 13*p + 5 What is the d'th term of -1, 41, 141, 323, 611? 4*d**3 + 5*d**2 - d - 9 What is the c'th term of 468, 961, 1456, 1953, 2452, 2953, 3456? c**2 + 490*c - 23 What is the u'th term of 195, 338, 467, 576, 659, 710? -u**3 - u**2 + 153*u + 44 What is the q'th term of -29, -81, -157, -263, -405, -589? -q**3 - 6*q**2 - 27*q + 5 What is the y'th term of 69, 159, 271, 417, 609, 859, 1179, 1581? 2*y**3 - y**2 + 79*y - 11 What is the o'th term of 111, 219, 327? 108*o + 3 What is the j'th term of -10038, -20077, -30114, -40149, -50182? j**2 - 10042*j + 3 What is the t'th term of -16, -47, -128, -283, -536? -4*t**3 - t**2 - 11 What is the d'th term of 53, 50, 39, 14, -31, -102? -d**3 + 2*d**2 - 2*d + 54 What is the y'th term of 27, -11, -111, -303, -617, -1083? -5*y**3 - y**2 + 33 What is the h'th term of 664, 661, 658, 655, 652, 649? -3*h + 667 What is the p'th term of -408, -816, -1224? -408*p What is the d'th term of 5530, 5531, 5532, 5533, 5534? d + 5529 What is the g'th term of 17, 45, 81, 125? 4*g**2 + 16*g - 3 What is the r'th term of -4567, -4569, -4571, -4573? -2*r - 4565 What is the a'th term of 140, -6, -150, -292, -432, -570? a**2 - 149*a + 288 What is the m'th term of 14, 77, 246, 575, 1118? 9*m**3 - m**2 + 3*m + 3 What is the a'th term of -2046, -4094, -6142, -8190, -10238, -12286? -2048*a + 2 What is the u'th term of -28, -31, -34, -37, -40? -3*u - 25 What is the n'th term of -20, -49, -96, -161? -9*n**2 - 2*n - 9 What is the n'th term of 23404, 23405, 23406, 23407? n + 23403 What is the m'th term of 1003, 1005, 1007, 1009? 2*m + 1001 What is the t'th term of -45, -49, -53, -57, -61? -4
{ "pile_set_name": "DM Mathematics" }
-1005 Let q(k) = k**3 + 58*k**2 + 583*k - 71. Give q(-45). 19 Let t(p) = -13*p**3 - p**2 + 29314*p - 29314. Calculate t(1). -14 Let b(m) = -6*m**3 + 450*m**2 + 134*m - 10022. What is b(75)? 28 Let w(p) = p**3 - 3*p**2 - 499*p + 3677. What is w(19)? -28 Let m(g) = g**3 - 193*g**2 - 1814*g + 44. Determine m(-9). 8 Let h(u) = -14*u**2 + 3219*u - 19224. Calculate h(6). -414 Let o(f) = -14*f**2 - 316*f + 28. Determine o(-20). 748 Let g(r) = 35724*r - 357272. Determine g(10). -32 Let r(h) = 26182*h - 3220397. What is r(123)? -11 Let y(p) = -9*p**2 - 184*p + 185. What is y(-24)? -583 Let o(c) = 2*c**3 - 10*c**2 - 45*c - 1. Determine o(7). -120 Let c(t) = -22274*t - 38467201. Determine c(-1727). -3 Let p(u) = -8*u**3 + 5742*u**2 - 5589*u - 152. What is p(1)? -7 Let h(x) = -x**3 - 75*x**2 + 272*x - 4149. Determine h(-79). -673 Let v(n) = n**2 - 67*n - 5882. Calculate v(-49). -198 Let w(k) = 3*k**3 + 214*k**2 + 248*k - 2275. Calculate w(-70). -35 Let j(q) = 3*q**3 - 134*q**2 - 155*q - 118. Calculate j(46). 1216 Let a(m) = -m**3 - 308*m**2 - 949*m - 292382. Give a(-308). -90 Let k(g) = -9474*g + 274724. What is k(29)? -22 Let z(d) = 161519*d + 1615138. Calculate z(-10). -52 Let b(h) = 126399*h + 252797. Give b(-2). -1 Let s(m) = -59*m**2 + 9558*m - 15. What is s(162)? -15 Let o(z) = 2*z**2 - 941*z + 44614. Give o(417). -5 Let i(q) = -206*q**3 - 1232*q**2 + 17*q - 31. Give i(-6). 11 Let p(c) = 792*c - 46155. Determine p(56). -1803 Let w(t) = 577*t - 40393. Calculate w(70). -3 Let g(j) = 24516*j + 245280. Give g(-10). 120 Let q(a) = -4*a**2 - 222*a - 3063. Give q(-18). -363 Let a(s) = 20*s**2 - 2369*s + 6974. Give a(3). 47 Let b(h) = -463*h + 96439. What is b(206)? 1061 Let j(n) = 6269*n + 24964. What is j(-4)? -112 Let o(z) = -2*z**2 + 161*z + 1007. Determine o(-6). -31 Let u(c) = 4*c**2 - 4026*c - 28125. Give u(-7). 253 Let s(u) = 3*u**3 + 328*u - 1003. What is s(3)? 62 Let s(u) = 131189*u - 81993124. What is s(625)? 1 Let r(o) = -23*o**2 - 625*o - 3787. Give r(-6). -865 Let z(p) = -205*p - 1102. What is z(5)? -2127 Let y(d) = -29*d**2 - 16*d + 56. Calculate y(2). -92 Let o(g) = -17*g**3 - 290*g**2 - 4*g + 112. Calculate o(-17). -109 Let n(w) = 5*w**3 - 576*w**2 + 2360*w - 3153. What is n(111)? 66 Let l(t) = 17727*t + 3563123. Determine l(-201). -4 Let c(u) = 209*u**3 - u**2 + 306*u - 304. What is c(1)? 210 Let o(x) = x**3 - 10*x**2 - 170*x + 129. What is o(19)? 148 Let x(t) = -t**2 - 240*t - 8782. Determine x(-195). -7 Let x(v) = -v**2 + 71*v - 498. What is x(17)? 420 Let g(m) = 2*m**3 + 197*m**2 + 1092*m - 69623. What is g(-26)? 5 Let a(p) = -27104*p - 1192585. Determine a(-44). -9 Let q(a) = a**2 - 6818*a - 6821. Determine q(-1). -2 Let d(n) = 2635*n - 57949. What is d(22)? 21 Let u(l) = -1776*l + 2513. Give u(1). 737 Let g(i) = i**2 - 7804*i + 46804. Give g(6). 16 Let h(a) = -a**3 + 16*a**2 + 152*a - 2493. Determine h(14). 27 Let d(g) = -100*g**2 + 21*g - 10. Calculate d(-4). -1694 Let p(d) = -2061*d - 48810. Determine p(-24). 654 Let f(k) = -501*k + 33830. What is f(67)? 263 Let y(t) = 24855*t - 48885. What is y(2)? 825 Let c(w) = -5*w**2 + 550*w + 47. Give c(110). 47 Let m(y) = -4*y**3 - 2*y**2 - 640*y + 3246. Give m(5). -504 Let q(l) = -792*l**2 + 4745*l + 56. Calculate q(6). 14 Let y(x) = -x**3 - 40*x**2 + 5078*x + 190. What is y(-94)? 2 Let w(j) = -496*j - 20342. Calculate w(-41). -6 Let d(n) = -21*n**2 + 2167*n + 1801. Calculate d(104). 33 Let b(j) = -105498*j - 2215502. Determine b(-21). -44 Let d(p) = 309*p + 5684. Give d(-20). -496 Let f(s) = -3*s**3 + 264*s**2 - 1926*s - 128. Calculate f(80). -608 Let q(d) = 31*d**3 + 128*d**2 + 60*d + 139. What is q(-4)? -37 Let o(t) = -2*t**3 - 9*t**2 + 1367*t + 4105. Give o(-3). -23 Let p(g) = -4209*g + 38263. Calculate p(9). 382 Let u(x) = 25747*x - 4042265. Determine u(157). 14 Let i(l) = -5*l**2 - 922*l - 7031. What is i(-8)? 25 Let j(d) = 3798*d + 19007. What is j(-5)? 17 Let s(w) = 10089*w + 3178020. Give s(-315). -15 Let z(s) = 1255*s - 14746. Give z(12). 314 Let y(f) = -5432*f + 10848. Determine y(2). -16 Let b(p) = 158906*p - 1430150. Calculate b(9). 4 Let a(b) = -3289*b**2 - 29606*b - 45. Give a(-9). 0 Let y(i) = -2024*i - 23. Give y(0). -23 Let n(l) = 5*l**2 - 1487*l - 58141. What is n(-35)? 29 Let r(z) = -204*z - 1137. What is r(-10)? 903 Let n(j) = 2*j**3 - 92*j**2 - 99*j + 221. Calculate n(47). -14 Let z(x) = -x**3 + 51*x**2 - 581*x - 236. Give z(18). -2 Let i(r) = -3577978*r - 32201790. Give i(-9). 12 Let n(u) = -2*u**2 - 4508*u - 67097. Give n(-15). 73 Let t(l) = -1892*l - 83532. Give t(-44). -284 Let d(m) = 885*m + 24774. Give d(-28). -6 Let p(i) = 6*i**3 - 86*i**2 + 34*i - 681. What is p(14)? -597 Let d(f) = f**3 - 158*f**2 + 3077*f - 11458. Determine d(136). 102 Let z(o) = -o**3 + 45*o**2 - 473*o - 746. Determine z(24). -2 Let m(q) = q**2 + 2503*q + 15094. Determine m(-6). 112 Let g(b) = -b**3 - 48*b**2 + 117*b. What is g(2)? 34 Let v(d) = -2*d**3 + 365*d**2 + 4064*d - 2069. Give v(193). 54 Let a(o) = -306*o - 54302. Calculate a(-180). 778 Let y(x) = 6*x**3 - 20*x**2 + 39*x - 165. What is y(4)? 55 Let r(v) = -10473*v - 31419. Determine r(-3). 0 Let n(p) = -p**3 - 19*p**2 + 66*p + 923. What is n(-20)? 3 Let t(j) = 5457*j - 147335. Calculate t(27). 4 Let n(v) = -2*v**3 - 117*v**2 + 2296*v + 25. Calculate n(-74). -123 Let p(r) = r**2 + 614*r - 150704. Calculate p(188). 72 Let v(a) = -2*a**3 + 52*a**2 - 171*a - 268. Calculate v(22). -158 Let z(m) = 75966*m + 227893. Calculate z(-3). -5 Let s(d) = -2*d**3 + 348*d**2 - 319*d - 4664. What is s(173)? 7 Let a(g) = -14*g**3 - 1194*g**2 - 342*g - 167. Calculate a(-85). 3 Let r(o) = 1790*o - 168233. Determine r(94). 27 Let s(t) = 8*t**3 - 125*t**2 - 5*t - 275. Give s(7). -3691 Let m(x) = -1183*x + 34900. Give m(30). -590 Let s(z) = -5*z**2 + 1684*z - 13442. Determine s(8). -290 Let n(i) = 395835*i - 1187504. What is n(3)? 1 Let a(h) = h**3 + h**2 - 883*h + 1470. Give a(-31). 13 Let t(z) = z**2 - 704*z + 30825. What is t(47)? -54 Let b(g) = 2*g**2 + 720*g - 308450. Calculate b(252). -2 Let i(h) = 25*h**2 + 1100*h + 11460. Calculate i(-17). -15 Let p(n) = -5*n**2 - 223*n - 1882. Calculate p(-33). 32 Let g(n) = 233967*n - 2105714. Give g(9). -11 Let m(k) = k**3 + 20*k**2 + 3090*k + 97179. Give m(-29). 0 Let v(n) = -490*n**2 - 3488*n - 305. Determine v(-7). 101 Let h(b) = b**2 + 509*b + 12718. What is h(-25)? 618 Let y(a) = 2369*a + 45610. What is y(-19)? 599 Let f(r) = -r**3 - 23*r**2 + 323*r + 208. Calculate f(-32). -912 Let b(u) = -u**3 - 7*u**2 - 298*u + 4620. Calculate b(10). -60 Let g(y) = 381*y - 7646. Determine g(20). -26 Let w(q) = 2*q**3 + 97*q**2 + 154*q + 874. Give w(-47). 263 Let r(b) = -9*b**2 + 3146*b + 15950. Give r(-5). -5 Let q(h) = 1788*h + 10994. Calculate q(-6). 266 Let i(j) = 19533*j + 117189. Determine i(-6). -9 Let j(o) = -o**3 - 195*o**2 + 260*o + 50730. Determine j(-195). 30 Let y(r) = 10479*r + 52169. Calculate y(-5). -226 Let g(j) = -j**3 - 88*j**2 + 499*j + 20563. Calculate g(-91). -3 Let d(g) = -56*g**2 - 1960*g - 6861. Give d(-31). 83 Let n(g) = 1783*g + 10338. What is n(-6)? -360 Let t(j) = j**2 - 2248*j - 33999. Calculate t(-15). -54 Let j(a) = 78*a**3 + 11700*a**2 - a + 9. Calculate j(-150). 159 Let f(i) = i**2 - 1754*i + 20708. What is f(12)? -196 Let w(j) = -614*j**3 - 599*j**2 + 244*j + 243. What is w(-1)? 14 Let t(h) = 63*h + 7101. Give t(-108). 297 Let h(q) = q**3 - 53*q**2 + 9366*q - 472474. Give h(51). -10 Let u(i) = i**3 + 46*i**2 - 5*i + 38. Determine u(0). 38 Let x(q) = 10866*q + 21737. Calculate x(-2). 5 Let c(i) = -i**3 + 62*i**2 + 524*i + 1336. What is c(70)? -1184 Let z(g) = 59*g**3 - 10*g**2 + 7*g + 16. What is z(-1)? -60 Let j(c) = 133029*c - 133012. What is j(1)? 17 Let s(h) = -15*h**2 - 55*h + 1250. What is s(21)? -6520 Let h(d) = -74*d**2 + 559*d + 1117. What is h(-2)? -297 Let a(w) = -2*w**3 + 93*w**2 - 1235*w + 54701. Determine a(46). 7 Let b(r) = r**3 - 444*r**2 + 29404*r - 196. Determine b(81). -115 Let l(f) = -f**3 + 29*f**2 + 1009*f + 5782. Give l(-14). 84 Let q(z) = z**3 + 18*z**2 - 272605*z - 1363349. Calculate q(-5). 1 Let j(c) = c**3 + 680*c**2 + 1372*c - 4. Calculate j(-2). -36 Let f(r) = 3*r**3 + 168*r**2 - 127*r + 2451. What is f(-57)? -57 Let f(v) = -26962*v + 12914803. Determine
{ "pile_set_name": "DM Mathematics" }
+ 14 as z*m + j*m**2 + f and give j. 5 Express -267 + 579 - 287 + 94*j + 42*j in the form t*j + u and give u. 25 Rearrange -11 + 2 - 90305*u + 7 + 92871*u to y*u + i and give i. -2 Rearrange 16100*d - 16096*d + 4*d**4 - 7 + 5*d**2 - 3*d**3 + d**3 - 4*d**4 - d**4 to the form s*d**4 + k + q*d + y*d**2 + t*d**3 and give k. -7 Express (-2*c + 0*c + 3*c)*(-3 - 1 + 3) + 3*c - c - 3*c + (-1 + 2 + 1)*(-3*c - c + 5*c) + 965*c - 1885*c + 955*c as l + f*c and give f. 35 Express -2*d**4 + 3*d**4 - 11*d**4 + (-1 + 1 - 2*d)*(-115*d**3 - 86*d**3 - 30*d**3) in the form m*d**3 + n*d**2 + b + p*d + t*d**4 and give t. 452 Express (2 - 4 + 3)*(5580*h + 4236*h - 3 - 7437*h) as x + i*h and give x. -3 Rearrange (-416*b - 2 + 394*b + 1)*(45*b - 372*b - 89*b) to v*b**2 + o*b + y and give o. 416 Express -1497 + 3000 - 1503 + 2439*u as y*u + q and give y. 2439 Rearrange -6993*r + 504 - 265 - 239 to the form x + y*r and give y. -6993 Express -7 + 79*u**4 + u - 464*u**2 + 463*u**2 - 4*u**3 - 71*u**4 in the form c*u + d*u**3 + x*u**4 + g*u**2 + n and give n. -7 Express -985387 - 301*b**3 + 3*b + 985387 as a*b + o + c*b**2 + l*b**3 and give a. 3 Express (6*h**3 - 2*h**3 - 3*h**3)*(190*h - 927*h - 631*h - 1043*h - 4) as r*h**3 + p*h**4 + c + z*h**2 + x*h and give r. -4 Express 29*i + 12*i + 480*i**2 - 77*i + 34*i as k + s*i + r*i**2 and give r. 480 Express (1 + l - 1)*(175364 + 16301 + 12903 - 28235 + 90082) in the form m + a*l and give a. 266415 Express 1175 - 2*f - 17*f**2 + 1175 - 2330 in the form d + i*f + l*f**2 and give d. 20 Express -62*c**3 - 62*c**3 + 3*c**2 - 67*c**3 + 182*c**3 - 1 - 14*c in the form u*c**2 + r*c + p*c**3 + w and give u. 3 Rearrange (-4*p + p + 4*p)*(7611*p - 9555*p - 20366*p) to the form r*p + x + q*p**2 and give q. -22310 Express (376*b - 601*b - 729*b)*(12 + 2 - 6)*(0*b + 3*b - 4*b) as w + k*b + s*b**2 and give s. 7632 Rearrange 384*q + 539*q + 179*q + 13*q + 505*q to o*q + f and give o. 1620 Express -7*o + 82 - 69 - 15*o - 4*o + o**2 - 14*o as b + h*o**2 + j*o and give b. 13 Rearrange 16969*v - 998*v + 3286*v to y*v + n and give y. 19257 Rearrange (-2*l + 2*l - 2*l)*(4 + 2 - 4) - 30*l - 8*l - 8*l + (l + 0*l - 3*l)*(2 + 5 - 4) + 5*l - 2 + 2 + 3*l - 7*l + 2*l to k + c*l and give k. 0 Rearrange (-5*u - 13*u + 3 - 2*u)*(-75*u**2 - 1 + 74*u**2 + 5*u - 4*u) to the form g*u**2 + p + k*u**3 + c*u and give k. 20 Express -6393*x + 16473535 - 16473535 in the form f*x + a and give f. -6393 Rearrange 40 + 15847*n**2 - 40*n - 15848*n**2 + 6*n to g*n**2 + f*n + l and give l. 40 Express -21589 + 1662*k**4 + 21589 + (-2*k + 5*k + 6*k)*(2*k**3 - k**3 - 2*k**3) as z*k + t*k**3 + n*k**4 + s*k**2 + g and give n. 1653 Express (-3*l**2 + 16*l**2 - 3*l**2)*(-93 - 111 - 48 + 71) as g*l**2 + k*l + f and give g. -1810 Express -6*a**3 + 42 - 33*a - 61 + 44 + 38*a as k + c*a + b*a**2 + w*a**3 and give b. 0 Rearrange -16*t + 5 - t**2 + 17*t - 15*t + 11*t to g + l*t + n*t**2 and give n. -1 Rearrange -2309*u**4 + 2308*u**4 - 7*u + 2*u**2 + 0*u**3 - u**3 + 11 to h*u**2 + j*u**3 + s*u**4 + n*u + w and give h. 2 Express -423 + 565*r - 2*r**3 + 2*r**2 + 233 + 191 as b*r**3 + d*r**2 + g + k*r and give b. -2 Rearrange -67*v**3 - 3*v - 95*v**3 + 165*v**3 - 8*v**2 + (2 - 2*v - 2)*(-2*v**2 + 4*v**2 + v**2) to the form j*v**2 + m*v + q*v**3 + k and give m. -3 Rearrange (0 - 1 - 1)*(96 + 100 + 2)*(z + 5*z - 12*z + 8) + (-2 + 3 + 1)*(4*z - 5*z + 3*z) to u*z + b and give b. -3168 Express 111 + 105 - 418 + 421*j + 111 + 101 as c*j + g and give g. 10 Rearrange -2 - i**3 - 2*i - 41*i**3 + 44*i**3 + 3*i - i**3 - 427*i**4 to the form l*i + k*i**3 + v*i**4 + x*i**2 + m and give m. -2 Express 718 + 964 + 2*d**3 - 10515*d + 10516*d in the form j + k*d + s*d**2 + u*d**3 and give u. 2 Rearrange i**3 + 6*i**3 - 640*i + 82 + 639*i - 2*i**3 to c*i**2 + u*i + j*i**3 + p and give j. 5 Rearrange -48*u + 51*u + 194 - 39 + 229 to p*u + j and give p. 3 Express -1 - 86*d**2 + 84*d**2 - 2*d**4 - 5*d**4 - 6*d - 3*d + 3*d**4 in the form x + z*d**3 + o*d**4 + l*d**2 + w*d and give o. -4 Rearrange (2661*l - 1256*l + 309*l + 2310*l)*(l**2 + 5*l**2 - l**2) to g*l**2 + o*l + c*l**3 + x and give c. 20120 Rearrange -z**2 - 57 + 9*z**2 + 42*z + 59 + z**2 to the form m*z**2 + h*z + u and give h. 42 Rearrange (0 + 1 + 1)*(-50 + 40162*p - 40160*p - 229) to the form o + q*p and give q. 4 Rearrange 15*x - 10*x + 50*x + (-3 - 1 + 0)*(x + 3 - 3) + 4*x - 1 + 4 - 2*x to f + m*x and give f. 3 Express 300050*v**2 - 299756*v**2 - 1 - 4 + (-3*v**2 - 2*v**2 + v**2)*(5 - 3 + 1) in the form p + h*v**2 + j*v and give h. 282 Express 2 - 50*o + 105*o - o**2 - 77*o in the form m*o**2 + h*o + q and give m. -1 Rearrange -10*w**3 + 1 + 3169*w + 42*w**3 - 2*w**2 + 2*w**4 - 1581*w - 1585*w to the form o*w**4 + j + d*w**2 + y*w + h*w**3 and give o. 2 Express -4*i - 87 + 543 + 494 - 2*i in the form a + c*i and give c. -6 Express 23*g**2 - 9*g**2 + 20*g**2 + 74*g**2 + 3 - 28*g**2 + 34*g**2 + (0*g - g + 2*g)*(-5*g + 5*g - 3*g) as k + a*g + l*g**2 and give k. 3 Express (-73*f + 2089 - 2089)*(-115 - 184 + 202) as c + t*f and give t. 7081 Rearrange -6*w + 3*w + w + (1 + 1 - 3)*(-w + 2*w - 3*w) - w - 5*w + 3*w + 3 + w - 3 - 146*w - 20*w + 125*w to the form v*w + i and give v. -43 Express (7*u - 5*u - 108 + u)*(3*u - 6*u + 0*u) in the form x*u**2 + w*u + n and give x. -9 Express 499*p - 499*p + 121*p**2 - 2*p**2 + 0*p**2 + 3*p**2 + (-6*p**2 + 5*p**2 - 8*p**2)*(-3 + 4 - 3) as u + y*p**2 + b*p and give y. 140 Rearrange (-607 + 585 + 3065)*(0*f - 4*f + f)*(-1 - 1 + 1)*(-4 - 3 + 3) to the form c + i*f and give i. -36516 Express 72 - 10*a**4 - 7*a**2 + 2*a**3 + 46*a**4 - 69 - 10*a - 38*a**4 as w*a + d*a**4 + v + u*a**2 + l*a**3 and give v. 3 Rearrange 93*n**2 - 2 - 2206*n**2 - 3*n + n + 2*n**2 + 0*n**2 - 3*n**2 + (5*n - 4*n - 2*n)*(n - 3*n + 0*n) to the form z + d*n + j*n**2 and give z. -2 Express n + n - 520*n**2 - n + 1205*n**2 + 2168*n**2 in the form t + l*n**2 + k*n and give k. 1 Rearrange 15*v**4 - 2*v + 9*v**4 - 43*v**3 - 7*v**4 - 2 - 16*v**4 to the form u*v + y*v**4 + m*v**2 + x + p*v**3 and give p. -43 Rearrange (3*y**4 - 5*y**4 + 0*y**4)*(49775 + 30957 + 12160 + 14798) to v + r*y**2 + h*y**3 + n*y**4 + u*y and give n. -215380 Rearrange 517 - 2127*n + 321*n - 516 to q*n + o and give o. 1 Express 951*n + 368*n + 296*n + 170*n + 1720*n as z + f*n and give f. 3505 Express 27 + 23*y**2 - 125*y - 69 + 22*y + 42 in the form k*y + q*y**2 + l and give q. 23 Rearrange 3321*n**2 + 1581*n**2 + 3060*n**2 to t + m*n**2 + b*n and give m. 7962 Rearrange 118 + w**3 + 204 + 3*w**2 - 279710*w + 279709*w to the form v*w**2 + c + g*w**3 + r*w and give g. 1 Rearrange -56156*a**4 - 2*a**2 + 4*a**2 + 56158*a**4 + 5 to the form k*a**4 + m*a**3 + h*a**2 + l + w*a and give w. 0 Rearrange (-m + 5 - 5)*(-13858 - 1050 - 83837 + 25981 - 47156 - 50204) to y + n*m and give n. 170124 Express -j + 3*j - 5*j + (2*j - 2*j - 2*j)*(0 + 2 - 3) - j + 6*j - 3*j - 15 + 15 + 50*j in the form v + f*j and give f. 51 Rearrange -6*x**2 + 3*x**3 + 5*x**4 + 6 + 7*x**4 - 9*x**4 + 5*x**2 to the form b + f*x**2 + z*x + n*x**4 + r*x**3 and give f. -1 Express (c - 4 + 1 + 1)*(0*c + 2*c + 5*c)*(-20*c - 9*c + 33657 - 33616) as k*c**3 + m*c**2 + x*c + a and give m. 693 Rearrange 274 - 53*y**2 + 8*y - 54*y**2 - 2*y**3 + 31*y**2 - 283 - 7*y to the form l*y**3 + n + s*y**2 + o*y and give n. -9 Express -2*z**2 + 180 + z**3 - 390 - 2*z + 578 as i + j*z**2 + o*z + r*z**3 and give j. -2 Express -p - 21 - 7*p + 8*p + p + 30 in the form m + t*p and give t. 1 Rearrange -4*o - 2*o**3 - 4*o**3 + 39743 + 2*o**3 + 2*o**3 - 38699 to the form g*o**2 + m*o**3 + t*o + u and give t. -4 Rearrange 480*l - 475*l**2 - 478*l + 51 - 49 to b*l**2 + w + h*l and give b. -475 Express 2462*f + 391*f - 168 + 282 - 114 as x + d*f and give d. 2853 Express 317*k**3 + 12*k - 77*k**3 - 175 + k**2 - 243*k**3 + (2*k - 2*k - k**2)*(2 - 2 + k) in the form x*k**3 + d + y*k**2 + m*k and give x. -4 Express -426*o**4 - 464*o - o**2 + 162*o + 147*o + 153*o as f*o**2 + g*o**3 + t + a*o**4 + l*o and give l. -2 Rearrange (u + u + 2*u)*(0 - 1 - 1)*(-888 + 4801 - 1994 + 6548) to h*u + t and give h. -67736 Rearrange -278801 + 278801 + 422*h to the form m + o*h and give o. 422 Express -1244*n - 8985*n + 1022*n**2 - 16591*n - 1024*n**2 as x*n + k*n**2
{ "pile_set_name": "DM Mathematics" }
at is the r'th term of 20937, 41895, 62843, 83775, 104685, 125567, 146415, 167223? -r**3 + r**2 + 20962*r - 25 What is the y'th term of -691, -2661, -5931, -10495, -16347, -23481? y**3 - 656*y**2 - 9*y - 27 What is the w'th term of 440, 1511, 3296, 5789, 8984, 12875, 17456, 22721? -w**3 + 363*w**2 - 11*w + 89 What is the j'th term of -88975, -88974, -88969, -88960, -88947? 2*j**2 - 5*j - 88972 What is the g'th term of -156070, -624771, -1405938, -2499571, -3905670? -156233*g**2 - 2*g + 165 What is the p'th term of 1388960, 1388951, 1388938, 1388921? -2*p**2 - 3*p + 1388965 What is the j'th term of 154124, 616529, 1387204, 2466149, 3853364, 5548849, 7552604? 154135*j**2 - 11 What is the c'th term of -32114, -64608, -97102, -129596, -162090, -194584? -32494*c + 380 What is the c'th term of 1263700, 1263722, 1263752, 1263790, 1263836? 4*c**2 + 10*c + 1263686 What is the r'th term of 1924, 15863, 53848, 127903, 250052, 432319? 2004*r**3 - r**2 - 86*r + 7 What is the w'th term of 22718, 22580, 22416, 22214, 21962, 21648? -2*w**3 - w**2 - 121*w + 22842 What is the g'th term of -18244521, -18244517, -18244511, -18244503, -18244493, -18244481, -18244467? g**2 + g - 18244523 What is the t'th term of 476, 2537, 6180, 11405, 18212, 26601, 36572? 791*t**2 - 312*t - 3 What is the w'th term of 336668, 673231, 1009748, 1346225, 1682668, 2019083? w**3 - 29*w**2 + 336643*w + 53 What is the f'th term of -2587372, -10349671, -23286836, -41398867, -64685764? -2587433*f**2 + 61 What is the g'th term of 1637733, 1637741, 1637755, 1637775, 1637801, 1637833? 3*g**2 - g + 1637731 What is the t'th term of 8002, 14437, 20872, 27307, 33742, 40177? 6435*t + 1567 What is the a'th term of 10231712, 10231725, 10231740, 10231751, 10231752? -a**3 + 7*a**2 - a + 10231707 What is the m'th term of 22534573, 90138299, 202811175, 360553201, 563364377? 22534575*m**2 + m - 3 What is the q'th term of 3534, 9969, 20690, 35697, 54990? 2143*q**2 + 6*q + 1385 What is the w'th term of -133, 257, 1127, 2657, 5027? 30*w**3 + 60*w**2 - 223 What is the x'th term of 621413, 1242821, 1864229? 621408*x + 5 What is the a'th term of 19063538, 38127145, 57190752, 76254359? 19063607*a - 69 What is the s'th term of 86, 205, 332, 461, 586, 701, 800? -s**3 + 10*s**2 + 96*s - 19 What is the v'th term of 19904, 78412, 175926, 312446, 487972, 702504, 956042? 19503*v**2 - v + 402 What is the f'th term of -5250, -5302, -5284, -5160, -4894, -4450? 6*f**3 - f**2 - 91*f - 5164 What is the s'th term of 595613025, 595613027, 595613029? 2*s + 595613023 What is the w'th term of 68514, 137027, 205538, 274047, 342554, 411059? -w**2 + 68516*w - 1 What is the b'th term of 522267, 1044528, 1566801, 2089092, 2611407, 3133752? b**3 + 522254*b + 12 What is the m'th term of 126110, 126033, 125956, 125879, 125802, 125725? -77*m + 126187 What is the g'th term of -51254, -101474, -151682, -201872, -252038? g**3 - 50227*g - 1028 What is the x'th term of -352, -743, -1154, -1579, -2012, -2447? x**3 - 16*x**2 - 350*x + 13 What is the a'th term of 383292, 381402, 378252, 373842? -630*a**2 + 383922 What is the d'th term of 70914, 283701, 638356, 1134879, 1773270, 2553529, 3475656? 70934*d**2 - 15*d - 5 What is the l'th term of -18469, -18577, -18639, -18655, -18625? 23*l**2 - 177*l - 18315 What is the n'th term of 191776, 191797, 191818? 21*n + 191755 What is the u'th term of 1776, 2224, 1344, -864? -664*u**2 + 2440*u What is the y'th term of 1185, 4671, 10655, 19281, 30693, 45035, 62451, 83085? 24*y**3 + 1105*y**2 + 3*y + 53 What is the u'th term of -363587024, -727174046, -1090761068, -1454348090? -363587022*u - 2 What is the q'th term of 504, 4236, 14482, 34536, 67692, 117244, 186486? 549*q**3 - 37*q**2 - 8 What is the g'th term of -685, -695, -709, -715, -701, -655, -565, -419? 2*g**3 - 14*g**2 + 18*g - 691 What is the l'th term of 210269, 840638, 1891251, 3362108? 210122*l**2 + 3*l + 144 What is the y'th term of 1318932, 2637935, 3956938, 5275941, 6594944? 1319003*y - 71 What is the u'th term of 938, 6908, 23102, 54632, 106610, 184148, 292358? 852*u**3 + 6*u + 80 What is the l'th term of 2252100, 4504205, 6756314, 9008427? 2*l**2 + 2252099*l - 1 What is the b'th term of -766, -1871, -3220, -4813, -6650, -8731, -11056? -122*b**2 - 739*b + 95 What is the s'th term of 11219, 11977, 13123, 14657, 16579? 194*s**2 + 176*s + 10849 What is the s'th term of 610563, 610520, 610487, 610470, 610475, 610508, 610575, 610682? s**3 - s**2 - 47*s + 610610 What is the k'th term of -1316, -1454, -1664, -1928, -2228, -2546? 3*k**3 - 54*k**2 + 3*k - 1268 What is the i'th term of 1362651, 1361925, 1360723, 1359051, 1356915, 1354321, 1351275, 1347783? i**3 - 244*i**2 - i + 1362895 What is the x'th term of 3362089, 3362087, 3362085, 3362083, 3362081? -2*x + 3362091 What is the p'th term of 21340375, 85361489, 192063345, 341445943, 533509283? 21340371*p**2 + p + 3 What is the s'th term of -867340, -867412, -867484, -867556, -867628, -867700? -72*s - 867268 What is the p'th term of 162252, 324527, 486802? 162275*p - 23 What is the q'th term of -828352, -3313448, -7455276, -13253836, -20709128, -29821152, -40589908? -828366*q**2 + 2*q + 12 What is the a'th term of -31159, -124253, -279403, -496603, -775847? a**3 - 31034*a**2 + a - 127 What is the p'th term of 787118, 787105, 787070, 787001, 786886, 786713? -2*p**3 + p**2 - 2*p + 787121 What is the q'th term of -101129, -101142, -101155, -101168? -13*q - 101116 What is the h'th term of -8190, -16527, -25152, -34209, -43842, -54195, -65412? -24*h**3 - 8169*h + 3 What is the d'th term of -1567, -2506, -4045, -6166, -8851, -12082? 3*d**3 - 318*d**2 - 6*d - 1246 What is the n'th term of -17653, -19351, -21051, -22753? -n**2 - 1695*n - 15957 What is the y'th term of 2185625, 2185506, 2185411, 2185352, 2185341? 2*y**3 - 133*y + 2185756 What is the u'th term of 8225, 16474, 24841, 33386, 42169, 51250, 60689? 10*u**3 - u**2 + 8182*u + 34 What is the x'th term of -3017193, -6034403, -9051613, -12068823, -15086033? -3017210*x + 17 What is the b'th term of 491300, 491279, 491258, 491237, 491216, 491195? -21*b + 491321 What is the j'th term of -26503650, -53007311, -79510972, -106014633, -132518294, -159021955? -26503661*j + 11 What is the b'th term of -20098, -40254, -60416, -80584, -100758, -120938? -3*b**2 - 20147*b + 52 What is the w'th term of 203113, 203370, 203627, 203884, 204141? 257*w + 202856 What is the f'th term of 241, 690, 945, 610, -711? -66*f**3 + 299*f**2 + 14*f - 6 What is the k'th term of 268193, 536398, 804603? 268205*k - 12 What is the h'th term of -71, 75, 599, 1501, 2781? 189*h**2 - 421*h + 161 What is the y'th term of -4014705, -8029418, -12044131, -16058844, -20073557? -4014713*y + 8 What is the d'th term of -35115, -42835, -63791, -104601, -171883? -1103*d**3 + d - 34013 What is the l'th term of 45182, 90826, 136464, 182096, 227722, 273342, 318956? -3*l**2 + 45653*l - 468 What is the p'th term of 483605, 484501, 485397, 486293, 487189? 896*p + 482709 What is the r'th term of -33402, -66790, -100158, -133494, -166786? 2*r**3 - 2*r**2 - 33396*r - 6 What is the j'th term of -3782, -14959, -33586, -59663, -93190? -3725*j**2 - 2*j - 55 What is the j'th term of 12198, 23974, 35750? 11776*j + 422 What is the d'th term of 766042, 1532080, 2298116, 3064150, 3830182, 4596212, 5362240? -d**2 + 766041*d + 2 What is the x'th term of -3493, 3919, 16273, 33569, 55807, 82987? 2471*x**2 - x - 5963 What is the p'th term of 12331290, 12331280, 12331270, 12331260, 12331250? -10*p + 12331300 What is the v'th term of -8042, -16107, -24174, -32243, -40314? -v**2 - 8062*v + 21 What is the y'th term of 813435, 813275, 813009, 812637, 812159, 811575, 810885? -53*y**2 - y + 813489 What is the p'th term of -4759248, -4759279, -4759332, -4759413, -4759528, -4759683, -4759884? -p**3 - 5*p**2 - 9*p - 4759233 What is the n'th term of -24885, -53051, -81217, -109383, -137549, -165715? -28166*n + 3281 What is the q'th term of 19689, 158392, 535081, 1268748, 2478385, 4282984, 6801537, 10153036? 19832*q**3 + q**2 - 124*q - 20 What is the c'th term of 90122057, 90122055, 90122053? -2*c + 90122059 What is the o'th term of 29767, 60738, 91709? 30971*o - 1204 What is the a'th term of 6631, 5002, 2287, -1514, -6401, -12374? -
{ "pile_set_name": "DM Mathematics" }
98 - q. Let c = n - -0.08. What is c rounded to seven dps? -0.0000005 Let j = 903 - 903.6032. Let o = j + 0.6. Round o to 3 decimal places. -0.003 Let s = -12338860 + 12338957.00219. Let k = 97 - s. Round k to four decimal places. -0.0022 Let s = 0.04 + -0.34. Let y = 0.30001 + s. Round y to five decimal places. 0.00001 Let m = -4.34758 + 5.9482. Let u = m - 1.6. What is u rounded to 4 dps? 0.0006 Let j = -8 + 14. Let a be 3/(j + -3 - 2). Suppose -b = h - 59998, a*h + 4*b - 29857 = 150135. What is h rounded to the nearest ten thousand? 60000 Let k = 34.6 - -1.4. Let d = 33.23123 - -2.75737. Let l = k - d. What is l rounded to 3 dps? 0.011 Let k = 9.772 + -10.1. Round k to one dp. -0.3 Let j = 1513996 - 1513996.03999996. Let i = -0.04 - j. What is i rounded to seven decimal places? 0 Let p = 115376.68799755 + -2223.58798655. Let w = 113153 - p. Let j = w + 0.1. Round j to five dps. -0.00001 Let b = 61 + -18. Let y = 0 + 0. Suppose y*k + k + 2*h = -b, 0 = h + 1. Round k to the nearest ten. -40 Let c = -14 - -14.0000115. What is c rounded to six decimal places? 0.000012 Let q = -5 + 7. Let u = q + -1.997. What is u rounded to two dps? 0 Let j be (-1 + (-222009)/(-9))*-15. Round j to the nearest one hundred thousand. -400000 Let o = -126.49 + 131. What is o rounded to 1 decimal place? 4.5 Let s = 10.00000611 - 10. Round s to 6 dps. 0.000006 Let u = -123.9 - -144. Let b = u + 1.9. Let d = b + -21.9983. What is d rounded to 3 decimal places? 0.002 Let f = 21 + -18. Suppose 3*n + 179 + 1147 = -f*s, -n - 4*s - 448 = 0. Round n to the nearest 100. -400 Let y = 81239 + -115239. Round y to the nearest ten thousand. -30000 Suppose -2*c - 2*c = -16. Suppose 0 = -c*x + 3*p - 624003, -3*x + 4*p - 2*p - 468002 = 0. What is x rounded to the nearest ten thousand? -160000 Let f = -42.1 + 44. Round f to zero decimal places. 2 Let z = -11 - 1. Let n = z - -11.99996. What is n rounded to 4 dps? 0 Let s = 0.053 - 0.05363. What is s rounded to four decimal places? -0.0006 Let y = -111.543388 - -123.4285886. Let w = 12.2852 - y. Let o = 0.4 - w. Round o to seven dps. 0.0000006 Let o = 0.51046 - 0.51. What is o rounded to four dps? 0.0005 Suppose 0 = 4*y + 2*z + 2 - 6, -z = -4. Let s be (y - 0)*-3 - 3. Suppose 3*v + s*v - 156000 = 0. What is v rounded to the nearest 10000? 50000 Let p(d) = -2 + 1 + 4*d - 1 - 3*d. Let j be p(4). Suppose 0 = -j*o + 4*o + 13800000. What is o rounded to the nearest one million? -7000000 Let a = 1.04939 + -1.05. Round a to three decimal places. -0.001 Let p = -0.1 + 12.1. Let t = p - 12.00000016. What is t rounded to 7 dps? -0.0000002 Let w = -283 - -285.42. Let b = w - 0.22. Round b to 0 dps. 2 Let q = -0.23 + 0.47. What is q rounded to one decimal place? 0.2 Let w = 8 - 12. Let p(a) = a**3 + 6*a**2 + 2*a - 5. Let m be p(w). Round m to the nearest 10. 20 Let w = -83 - 1127. Round w to the nearest 1000. -1000 Let f = 7 + -5. Suppose 0 = -2*s + 4*s + f, -2*n = 2*s - 1099998. Round n to the nearest one hundred thousand. 600000 Let p = -0.995 - -0.7. Round p to 2 dps. -0.3 Let j = -3.6 + 1.8. Let y = -5.3 + j. Let a = 10 + y. Round a to the nearest integer. 3 Let i = -99.327 - 1.073. What is i rounded to the nearest ten? -100 Let d = -0.25 + -0.05. Let y = -0.299987 - d. What is y rounded to five dps? 0.00001 Let u = -0.0437 + 1.41304. Let p = u - 1.6196. Let o = p + 0.25. What is o rounded to four dps? -0.0003 Let v = -2071.365008 - -2078.365. Let c = -16 - -9. Let g = v + c. What is g rounded to 6 decimal places? -0.000008 Let q = -2197 - 2103. Round q to the nearest one thousand. -4000 Let f be 326 + 2 + (0 - -2). What is f rounded to the nearest one hundred? 300 Let v = -4 - -9. Suppose -2*o + v*o = -4500. What is o rounded to the nearest 100? -1500 Let f = -0.08974 - 118.22026. Let n = f + 121. Round n to one dp. 2.7 Let f = 58 + -24. Let z = -1558.16 - -1593. Let l = f - z. Round l to one dp. -0.8 Let q = 0.2000097 + -0.2. What is q rounded to six dps? 0.00001 Let q = 29.322 - 29.392052. Let v = q + 0.07. Round v to 5 dps. -0.00005 Let b(u) = -4665*u**3 - 3*u**2 + 13*u + 10. Let a be b(-14). What is a rounded to the nearest one million? 13000000 Let n = 41 + -28. Let q = 1.35417 - -11.64541. Let p = n - q. Round p to 4 dps. 0.0004 Let l = -10.56 - 57.14. Round l to the nearest ten. -70 Let w = -32464016 - -32463628.99821. Let o = w - -387. What is o rounded to 4 dps? -0.0018 Let p = -3 + -57. Let c = 60.62 + p. Let f = c + -0.6200131. Round f to six decimal places. -0.000013 Let o = 0.08 + -2.08. Let l = o + 3.2. Let u = 1 + l. What is u rounded to 0 decimal places? 2 Let m = -0.4 + 0. Let b = m + 0.39. Let t = 0.01000019 + b. What is t rounded to 7 decimal places? 0.0000002 Let h = -468384096 - -468379579.90054. Let i = h + 4526.59946061. Let l = 10.5 - i. Round l to seven decimal places. -0.0000006 Let l = 0.0980322 - 0.098. What is l rounded to 6 decimal places? 0.000032 Let c be (31742/6)/((-2)/42). Let i = c + 186097. Round i to the nearest 10000. 80000 Let k = 3 - 8. Round k to the nearest ten. -10 Let y = -90193.5877 + 90283.6. Let i = 90 - y. Round i to 3 dps. -0.012 Let d = 2.690241 - 24.690101. Let i = d - -22. Round i to 4 decimal places. 0.0001 Suppose -36 - 544 = -5*o. Round o to the nearest ten. 120 Suppose 4*j - 4*q + 24 = 0, 4*j + 5*q + 4 = -11. Let r = 10 + j. Suppose 5*u = 2*i + 105, -r*i - 4*u + u = 278. What is i rounded to the nearest 10? -60 Let u(r) = r**2 + 7*r - 9. Let z be u(-8). Let f = 8 - -15. Let k = z - f. What is k rounded to the nearest ten? -20 Let p(s) = 5*s**2 - 1. Let k be p(2). What is k rounded to the nearest 10? 20 Suppose 5*y - 2*c = 3*c - 20045, -c = 1. What is y rounded to the nearest 100? -4000 Let n(s) = 229*s**3 - s - 4. Let u(g) = 230*g**3 - g - 5. Let r(b) = 4*n(b) - 3*u(b). Let w be r(-3). Round w to the nearest one thousand. -6000 Let t = 0.16701 - 0.32878. Let f = t + 0.163. Round f to 4 dps. 0.0012 Let f be (222/(-8))/(6*(-5)/320). What is f rounded to the nearest ten? 300 Let r = 6.78175 - -1.2181. Let q = r - 8. What is q rounded to 4 dps? -0.0002 Let f = 16 + -22. Let k = f - -6.48. Round k to one decimal place. 0.5 Let i(h) = h**2 + 3*h - 1. Let k be i(-4). Suppose 5*v - 970 = k*y + y, -5*y - v - 1198 = 0. What is y rounded to the nearest 10? -240 Let s = -0.072 + -47.928. Let i = s + 47.9999901. Round i to 6 dps. -0.00001 Let i = 0.592 + -0.73. Let g = 167139 + -167139.138134. Let k = g - i. What is k rounded to 5 decimal places? -0.00013 Let h(z) = z**2 + 5*z - 2. Let g be h(-6). Suppose 0 = -g*s + 106143 - 6143. What is s rounded to the nearest 10000? 30000 Let d = 1713741.29183 + -1713811. Let r = -74.5081779 - d. Let y = r + 4.8. Round y to six dps. -0.000008 Let m = -1.8 + 0.6. Round m to 1 dp. -1.2 Suppose -3*s = -s + 8000. Round s to the nearest ten thousand. 0 Let p = -99 - -99.254. What is p rounded to 1 decimal place? 0.3 Suppose -m + 8 - 3 = 0. Suppose 0 = m*h - 3*h + 15800. What is h rounded to the nearest 1000? -8000 Suppose -5*z + 4*f = 7250008, f - 3*f + 4 = 0. Round z to the nearest 100000. -1500000 Let s = 337 - 336.002. Let z = -1 + s. Let r = z - 0. Round r to three dps. -0.002 Suppose m - 255000 = -3*f, -m - 170000 = -2*f + m. Round f to the nearest 10000. 90000 Let r(g) be the first derivative of -g**2 - 2*g + 1. Let i be r(-3). Suppose -i*y = y + 960000. Round y to the nearest 10000. -190000 Let a = -9.65 - -10. Let w = -88 + 87.39. Let x = w - a. Round x to one decimal place. -1 Let g = -31 - -30.825. What is g rounded to two dps? -0.18 Let h = -2723933495039 + 2723919367220.999926. Let k = 14127834 + h. Let g = k + -16. What is g rounded to five decimal places? -0.00007 Let y = -1.297 - -0.017. Let l = -0.28 - -0.51. Let w = l + y. Round w to 1 decimal place. -1.1 Let y = 11 - 11.8. Let u = y - -4.8. Let r = 4.0000001 - u. Round r to 7 dps. 0.0000001 Let c = -78203 - -78227.9957. Let p = 24.988 - -0.012. Let z = p - c. Round z to 3 dps. 0.004 Let i(q) = -14*q**2 + q. Let c be i(1). Let n be c/(0 + (-2)/(-2)). What is n rounded to the nearest 10? -10 Let b = -2.4 + 27.4. Let m = b - 25.026. Let w = m + 0.01. Round w to two dps. -0.02 Let y be 3/(-1) + (-404)/(-2). Let w = y + -99. Round w to the nearest one thousand. 0 Let n = 0.300021 + -0.3. What is n
{ "pile_set_name": "DM Mathematics" }
s the lowest common multiple of 136185 and 2574? 116846730 Find the common denominator of -83/20646150 and 104/10323075. 20646150 What is the lowest common multiple of 2600597 and 1293698? 254858506 What is the common denominator of 76/134043 and -16/795? 35521395 Find the common denominator of -119/16908 and 12/515. 8707620 Calculate the common denominator of 23/133 and -16/22479569. 427111811 What is the common denominator of -151/24 and -71/10842483? 86739864 What is the lowest common multiple of 1004925 and 36378285? 181891425 Find the common denominator of 139/228312 and 101/7728. 10502352 What is the least common multiple of 8757330 and 90? 26271990 Find the common denominator of 17/57083 and 25/3025399. 3025399 Find the common denominator of -23/1582 and -107/7924. 895412 Calculate the least common multiple of 5269975 and 1246980. 442677900 Find the common denominator of 67/193502 and -95/2976. 9288096 What is the lowest common multiple of 8620794 and 17784? 34483176 Calculate the lowest common multiple of 17290665 and 1485. 190197315 Calculate the lowest common multiple of 4 and 923392102. 1846784204 What is the smallest common multiple of 10428 and 6319368? 6319368 Calculate the common denominator of -12/371 and 89/259884652. 1819192564 Calculate the least common multiple of 1315872 and 35029. 30265056 What is the smallest common multiple of 5955 and 93045? 36938865 Calculate the lowest common multiple of 7 and 79097. 553679 What is the smallest common multiple of 44109763 and 13? 573426919 What is the common denominator of -5/899 and -81/90248? 2797688 Calculate the least common multiple of 3821012 and 4251260. 1585719980 What is the common denominator of -47/39115 and 191/5040? 39427920 What is the smallest common multiple of 2 and 6909556? 6909556 What is the common denominator of 19/19665109 and 45/4? 78660436 What is the lowest common multiple of 30702 and 9618? 7030758 Calculate the common denominator of 49/597704 and -67/44. 6574744 Calculate the least common multiple of 17526 and 140208. 140208 What is the common denominator of -115/157850576 and 2/85? 789252880 Calculate the common denominator of 115/2088 and 77/535224. 1605672 Calculate the least common multiple of 233616 and 1488. 233616 Find the common denominator of -18/118477 and -127/27660. 7108620 Calculate the least common multiple of 966 and 416346. 416346 Find the common denominator of 99/266 and -47/64309. 2443742 Calculate the common denominator of 5/1389 and -14/30861. 14288643 Find the common denominator of -17/10 and -14/48092669. 480926690 Calculate the least common multiple of 652149 and 39. 8477937 Calculate the smallest common multiple of 6063750 and 30870. 42446250 What is the smallest common multiple of 26986070 and 14? 188902490 What is the common denominator of 127/378 and 95/282352? 7623504 What is the lowest common multiple of 14023520 and 1054400? 140235200 What is the least common multiple of 162928 and 84212? 3430123184 Calculate the common denominator of 2/356153 and 26/49. 2493071 Find the common denominator of 19/44880 and 193/12246630. 97973040 Calculate the common denominator of 131/2520 and 29/46836. 3278520 Calculate the common denominator of 26/482815 and -91/50. 4828150 What is the least common multiple of 18751 and 1602659? 27245203 Calculate the lowest common multiple of 2516175 and 250. 25161750 Find the common denominator of 21/69005 and 53/5968. 1104080 Calculate the lowest common multiple of 1403775 and 38535. 9826425 What is the lowest common multiple of 6349405 and 870? 38096430 What is the smallest common multiple of 16889600 and 150800? 16889600 Calculate the common denominator of -19/4433760080 and -73/2. 4433760080 What is the common denominator of 43/593450 and 101/1068210? 5341050 What is the smallest common multiple of 44936936 and 66? 134810808 Calculate the smallest common multiple of 36705 and 14682. 73410 What is the common denominator of -30/2167 and 47/82093446? 903027906 Calculate the least common multiple of 39166398 and 26172. 78332796 Find the common denominator of -145/58416 and 71/20112. 24476304 Find the common denominator of -47/12030528 and -83/21. 84213696 What is the smallest common multiple of 116940 and 58470? 116940 Calculate the common denominator of 35/20731 and 81/2031638. 2031638 What is the common denominator of 16/5621 and 121/6208650? 68295150 What is the lowest common multiple of 5960136 and 13104? 35760816 Calculate the lowest common multiple of 64170 and 10827. 77196510 Calculate the smallest common multiple of 16168236 and 441. 48504708 Find the common denominator of 14/1887 and -70/257433. 161925357 What is the least common multiple of 799887 and 1236189? 13598079 Find the common denominator of 91/552 and -145/554688. 12757824 What is the smallest common multiple of 1321028 and 3460? 6605140 Find the common denominator of -53/177009 and -19/434. 10974558 Calculate the lowest common multiple of 44838 and 1398. 10447254 What is the common denominator of 71/59204 and -107/487654? 18530852 Calculate the smallest common multiple of 21571270 and 23170. 21571270 What is the lowest common multiple of 9956 and 94582? 189164 What is the common denominator of 55/534924 and 157/527436? 602859348 What is the common denominator of 33/12009640 and -9/1130? 12009640 Calculate the common denominator of -71/11168 and 123/133520. 93196960 What is the common denominator of -61/2396305 and -25/9105959? 45529795 What is the common denominator of 97/352494 and -38/113679315? 227358630 Calculate the smallest common multiple of 4236624 and 201744. 4236624 Find the common denominator of 87/15879736 and -93/20648. 460512344 Find the common denominator of -5/5924787 and -94/2265. 29623935 Calculate the lowest common multiple of 5735664 and 57936. 5735664 What is the common denominator of 39/30362365 and 36/79775? 151811825 Calculate the smallest common multiple of 12664791 and 3615. 63323955 Calculate the common denominator of 131/255168 and 13/12. 255168 Calculate the lowest common multiple of 320480 and 19694. 3155766560 Find the common denominator of -89/22808 and 87/183832480. 183832480 Calculate the least common multiple of 887208 and 3864. 20405784 What is the smallest common multiple of 53316 and 59670? 176742540 What is the common denominator of 41/20944 and 125/4928? 83776 What is the lowest common multiple of 4148292 and 6839076? 253045812 Calculate the lowest common multiple of 223825000 and 44. 2462075000 What is the common denominator of 73/24 and -29/47871812? 287230872 What is the smallest common multiple of 406 and 12298? 2496494 What is the least common multiple of 235893 and 33699? 235893 What is the lowest common multiple of 4199 and 1669876? 31727644 What is the smallest common multiple of 35140 and 61244? 2143540 Calculate the common denominator of 62/4468615 and 35/33961474. 169807370 Calculate the lowest common multiple of 1601460 and 9324. 59254020 What is the smallest common multiple of 130806 and 22204? 111708324 Find the common denominator of 13/110484 and -47/3986290. 645778980 What is the lowest common multiple of 11645920 and 1164592? 11645920 Calculate the smallest common multiple of 206571376 and 528. 619714128 What is the least common multiple of 21 and 7771029? 7771029 Calculate the common denominator of 69/17920 and -113/16512. 2311680 Calculate the common denominator of 71/429480 and -123/238600. 2147400 What is the common denominator of 29/269616 and 67/88560? 12132720 Find the common denominator of 157/3176970 and -97/3176970. 3176970 Calculate the lowest common multiple of 4331082 and 12252. 8662164 What is the common denominator of 75/483152 and -133/543546? 4348368 Calculate the least common multiple of 2807064 and 8070309. 64562472 What is the lowest common multiple of 7103718 and 20127201? 120763206 Calculate the common denominator of -89/50784 and 41/1587000. 6348000 Calculate the lowest common multiple of 418 and 930981. 20481582 What is the common denominator of -73/10066 and 77/16400? 82541200 Calculate the lowest common multiple of 35235 and 1923744. 779116320 Calculate the lowest common multiple of 2015 and 413270. 12811370 Calculate the smallest common multiple of 17
{ "pile_set_name": "DM Mathematics" }
ru when four letters picked without replacement from ebaarbeeerauaauarera? 1/969 Four letters picked without replacement from {q: 1, t: 1, c: 2, v: 1, m: 4, o: 3}. Give prob of sequence qvtc. 1/5940 What is prob of sequence jj when two letters picked without replacement from mwmjmmkwjfj? 3/55 Calculate prob of sequence gv when two letters picked without replacement from {h: 8, c: 2, v: 8, g: 1, m: 1}. 2/95 Calculate prob of sequence nbtt when four letters picked without replacement from tttbatnabtant. 1/143 Two letters picked without replacement from {g: 3, v: 1, y: 3}. What is prob of sequence gg? 1/7 Three letters picked without replacement from {k: 3, x: 4, p: 1, i: 5, r: 5}. What is prob of sequence kkk? 1/816 Four letters picked without replacement from yddddddydddy. What is prob of sequence ydyy? 1/220 What is prob of sequence gw when two letters picked without replacement from {e: 4, l: 3, g: 1, w: 7, x: 1}? 7/240 Calculate prob of sequence qo when two letters picked without replacement from {b: 1, t: 1, q: 1, i: 1, o: 2, u: 2}. 1/28 Calculate prob of sequence ata when three letters picked without replacement from {z: 6, j: 4, t: 1, a: 4}. 2/455 Two letters picked without replacement from {e: 1, k: 2, y: 1, x: 1, s: 1, d: 1}. What is prob of sequence ek? 1/21 Two letters picked without replacement from {e: 11, y: 1, x: 2}. Give prob of sequence yx. 1/91 What is prob of sequence dzwf when four letters picked without replacement from {z: 2, w: 1, f: 2, d: 7}? 7/2970 What is prob of sequence tb when two letters picked without replacement from {i: 1, p: 1, x: 1, t: 1, b: 1}? 1/20 What is prob of sequence us when two letters picked without replacement from {p: 2, q: 1, s: 6, a: 1, u: 7}? 21/136 Calculate prob of sequence ii when two letters picked without replacement from {i: 17, r: 1}. 8/9 Four letters picked without replacement from {b: 1, w: 2, m: 4, k: 1, j: 3}. What is prob of sequence wwjb? 1/1320 Four letters picked without replacement from qqnnnnnnnnnqnnn. Give prob of sequence nqnq. 11/455 Two letters picked without replacement from {n: 4, d: 1, h: 3, i: 1, c: 2, o: 1}. What is prob of sequence ho? 1/44 Calculate prob of sequence ese when three letters picked without replacement from {e: 9, s: 9}. 9/68 Two letters picked without replacement from {j: 2, i: 2, c: 2, k: 1, f: 1}. What is prob of sequence ki? 1/28 What is prob of sequence gzzr when four letters picked without replacement from {m: 6, r: 1, h: 1, z: 4, g: 1}? 1/1430 Two letters picked without replacement from jjvvimzivvimvvzimj. What is prob of sequence vz? 2/51 Three letters picked without replacement from {b: 1, d: 6, a: 8}. Give prob of sequence abd. 8/455 Calculate prob of sequence ss when two letters picked without replacement from {i: 5, s: 3}. 3/28 Two letters picked without replacement from {y: 1, d: 1, k: 1, s: 4, j: 1, m: 9}. Give prob of sequence js. 1/68 What is prob of sequence dc when two letters picked without replacement from kkddkcdkdkkkkk? 2/91 Three letters picked without replacement from {o: 3, u: 2}. Give prob of sequence uoo. 1/5 Two letters picked without replacement from {e: 3, t: 7, p: 3}. What is prob of sequence te? 7/52 What is prob of sequence tf when two letters picked without replacement from {c: 2, t: 1, k: 1, f: 2}? 1/15 Calculate prob of sequence dz when two letters picked without replacement from {z: 1, h: 2, l: 5, d: 3, f: 1}. 1/44 Three letters picked without replacement from lkdllkllfklllfdlkfl. Give prob of sequence dfl. 10/969 Four letters picked without replacement from yxlsgghx. What is prob of sequence glhx? 1/420 What is prob of sequence jtt when three letters picked without replacement from ttojttyl? 1/28 Four letters picked without replacement from {h: 2, x: 3}. What is prob of sequence xxhx? 1/10 Three letters picked without replacement from {c: 5, f: 11}. Give prob of sequence ffc. 55/336 Four letters picked without replacement from {i: 1, k: 4, g: 3, q: 1, v: 8}. What is prob of sequence kkgk? 3/2380 What is prob of sequence aai when three letters picked without replacement from iiiiaiiiiiiiiaiiii? 1/153 What is prob of sequence yxs when three letters picked without replacement from {x: 1, s: 1, a: 1, d: 3, y: 6, b: 1}? 1/286 Calculate prob of sequence fx when two letters picked without replacement from {a: 1, x: 1, f: 2, v: 1}. 1/10 What is prob of sequence ez when two letters picked without replacement from {z: 3, e: 13}? 13/80 What is prob of sequence itit when four letters picked without replacement from {t: 2, i: 7}? 1/36 Two letters picked without replacement from hbggazn. What is prob of sequence bg? 1/21 Calculate prob of sequence vv when two letters picked without replacement from svvikskksmsvkk. 3/91 What is prob of sequence kr when two letters picked without replacement from kkrkbkbkkbbbkkb? 4/105 Two letters picked without replacement from {n: 2, o: 3, i: 2, q: 2, l: 5, j: 2}. Give prob of sequence qj. 1/60 Calculate prob of sequence rr when two letters picked without replacement from {r: 3, w: 8}. 3/55 Calculate prob of sequence ou when two letters picked without replacement from {z: 2, a: 4, t: 2, n: 1, u: 2, o: 3}. 3/91 What is prob of sequence em when two letters picked without replacement from zeemexezheexqmmqex? 7/102 Two letters picked without replacement from {z: 3, t: 3, b: 1, u: 1, c: 2}. Give prob of sequence cu. 1/45 Four letters picked without replacement from qaaaaaqaqahhhkahakf. Give prob of sequence kkaq. 3/5168 Four letters picked without replacement from {r: 2, w: 2, m: 5}. Give prob of sequence mmwr. 5/189 Two letters picked without replacement from eggetge. What is prob of sequence ge? 3/14 What is prob of sequence em when two letters picked without replacement from ewmrrw? 1/30 Three letters picked without replacement from {k: 9, s: 10}. What is prob of sequence skk? 40/323 Calculate prob of sequence rbj when three letters picked without replacement from {b: 3, j: 1, r: 1}. 1/20 What is prob of sequence bo when two letters picked without replacement from foctbcc? 1/42 What is prob of sequence ojk when three letters picked without replacement from jjoojojjkoojj? 35/1716 What is prob of sequence nnr when three letters picked without replacement from jnrnrnrrrrjrnrrrnrr? 40/969 What is prob of sequence hbk when three letters picked without replacement from hkphbb? 1/30 What is prob of sequence yppy when four letters picked without replacement from pyyyyyyyypppypyy? 55/1092 What is prob of sequence yrh when three letters picked without replacement from yyrirjjyyhyy? 1/110 Two letters picked without replacement from {m: 7, c: 3, n: 2, d: 3}. Give prob of sequence cd. 3/70 Four letters picked without replacement from {u: 4, p: 4, k: 8}. What is prob of sequence ukuk? 1/65 Two letters picked without replacement from onnoo. Give prob of sequence on. 3/10 Three letters picked without replacement from hhfuufhhf. What is prob of sequence hff? 1/21 Calculate prob of sequence nng when three letters picked without replacement from znrbnzrg. 1/168 Four letters picked without replacement from {d: 3, m: 7}. What is prob of sequence mmmd? 1/8 Three letters picked without replacement from rrsxwsexsfewxwx. Give prob of sequence wwx. 4/455 Two letters picked without replacement from meobi. What is prob of sequence oi? 1/20 Calculate prob of sequence tqtq when four letters picked without replacement from {r: 4, q: 2, c: 2, t: 8}. 1/390 Calculate prob of sequence jxj when three letters picked without replacement from {x: 2, j: 4, y: 1, q: 8}. 4/455 Four letters picked without replacement from {e: 2, k: 5, f: 3}. What is prob of sequence fkff? 1/168 Calculate prob of sequence dsy when three letters picked without replacement from {n: 2, d: 11, y: 2, s: 1}. 11/1680 Calculate prob of sequence drrr when four letters picked without replacement from {r: 3, d: 1, q: 5}. 1/504 Calculate prob of sequence xpn when three letters picked without replacement from xxnpxpppppxnx. 5/143 Three letters picked without replacement from {e: 2, z: 2, l: 1, o: 1, g: 1, r: 1}. What is prob of sequence ole? 1/168 Calculate prob of sequence aau when three letters picked without replacement from {a: 3, u: 17}. 17/1140 Four letters picke
{ "pile_set_name": "DM Mathematics" }
cked without replacement from egeleggggws. 1/55 What is prob of picking 2 g when two letters picked without replacement from pggppggpgp? 2/9 What is prob of picking 3 b and 1 e when four letters picked without replacement from eebebebbeee? 14/165 Calculate prob of picking 1 u, 1 x, and 1 f when three letters picked without replacement from ggtttxtdtfuxtt. 1/182 What is prob of picking 1 y, 1 w, and 2 m when four letters picked without replacement from wmywwwm? 4/35 Two letters picked without replacement from {m: 3, k: 3, r: 1}. What is prob of picking 2 m? 1/7 Four letters picked without replacement from bqxbxlxlmmxllmmlxmx. What is prob of picking 2 l and 2 m? 25/969 Four letters picked without replacement from {o: 3, s: 12}. What is prob of picking 4 s? 33/91 Two letters picked without replacement from mfdfmfrrfrdmf. What is prob of picking 2 r? 1/26 Three letters picked without replacement from {h: 5, w: 8, p: 1, q: 1, d: 5}. What is prob of picking 1 q and 2 w? 7/285 Calculate prob of picking 2 e when two letters picked without replacement from {e: 14, c: 1}. 13/15 What is prob of picking 2 m when two letters picked without replacement from xmmmmmmmxmm? 36/55 What is prob of picking 2 f when two letters picked without replacement from {f: 2, a: 1, o: 1, k: 1}? 1/10 Calculate prob of picking 1 s, 2 c, and 1 n when four letters picked without replacement from asctaanttaascaiaa. 1/1190 Two letters picked without replacement from {n: 3, r: 2}. Give prob of picking 2 r. 1/10 Calculate prob of picking 1 a and 1 t when two letters picked without replacement from {s: 1, x: 1, t: 1, a: 2, j: 2, r: 2}. 1/18 Calculate prob of picking 4 l when four letters picked without replacement from {j: 12, l: 7}. 35/3876 Four letters picked without replacement from {p: 2, k: 4, o: 7, w: 4, u: 1}. Give prob of picking 2 o and 2 k. 7/170 Two letters picked without replacement from hhhkkhhh. What is prob of picking 2 k? 1/28 Three letters picked without replacement from {y: 5, p: 6, t: 2, w: 3, n: 1}. What is prob of picking 2 t and 1 y? 1/136 Three letters picked without replacement from nynot. Give prob of picking 2 n and 1 y. 1/10 Calculate prob of picking 2 i and 2 t when four letters picked without replacement from ttttitiiit. 3/7 Calculate prob of picking 1 y, 1 f, and 1 b when three letters picked without replacement from {y: 1, f: 1, b: 18}. 3/190 Two letters picked without replacement from nvflllfnlfllfflnkvvl. Give prob of picking 1 v and 1 l. 12/95 Two letters picked without replacement from {t: 6, s: 7}. Give prob of picking 1 s and 1 t. 7/13 Four letters picked without replacement from {x: 4}. What is prob of picking 4 x? 1 Calculate prob of picking 2 y when two letters picked without replacement from {k: 5, y: 2}. 1/21 What is prob of picking 2 p when two letters picked without replacement from {a: 1, f: 2, p: 2}? 1/10 Four letters picked without replacement from uuuuuuuuumuuuuu. What is prob of picking 2 m and 2 u? 0 Three letters picked without replacement from uixuxuiunn. Give prob of picking 3 u. 1/30 Two letters picked without replacement from {c: 2, r: 6, g: 2, u: 1}. Give prob of picking 1 u and 1 g. 2/55 Four letters picked without replacement from nniinzininiiz. What is prob of picking 2 n and 2 i? 30/143 Calculate prob of picking 2 o when two letters picked without replacement from {y: 1, b: 2, o: 2, d: 1, c: 1, x: 1}. 1/28 Four letters picked without replacement from vvuylvvllvvydlvud. Give prob of picking 1 l, 1 u, and 2 y. 2/595 Two letters picked without replacement from {i: 11, y: 3}. What is prob of picking 2 y? 3/91 What is prob of picking 1 i and 1 j when two letters picked without replacement from {j: 1, m: 2, q: 3, i: 1}? 1/21 Four letters picked without replacement from occccooxcocco. Give prob of picking 2 o and 2 c. 42/143 Two letters picked without replacement from uduuduuuu. What is prob of picking 2 u? 7/12 Calculate prob of picking 3 v when three letters picked without replacement from {w: 4, v: 8, j: 4}. 1/10 Calculate prob of picking 2 n when two letters picked without replacement from {n: 7, q: 2}. 7/12 Three letters picked without replacement from {x: 6, d: 7}. What is prob of picking 2 d and 1 x? 63/143 Calculate prob of picking 1 m and 2 u when three letters picked without replacement from {u: 7, m: 1}. 3/8 What is prob of picking 1 y and 2 t when three letters picked without replacement from uuuuuuutyuuyuxutuyu? 1/323 Three letters picked without replacement from {l: 1, o: 2, f: 7, w: 1, d: 2, c: 6}. What is prob of picking 2 d and 1 o? 2/969 Four letters picked without replacement from zzzzzdd. What is prob of picking 4 z? 1/7 Calculate prob of picking 2 q when two letters picked without replacement from iiiqiiqiiqiiqiiqiii. 10/171 Three letters picked without replacement from {z: 1, o: 2, g: 4}. Give prob of picking 2 o and 1 g. 4/35 Four letters picked without replacement from {y: 2, z: 1, p: 3, e: 4, n: 4}. What is prob of picking 1 y, 1 p, and 2 e? 36/1001 Two letters picked without replacement from {f: 5, q: 5, y: 8}. Give prob of picking 2 q. 10/153 What is prob of picking 2 w when two letters picked without replacement from {w: 7, y: 9}? 7/40 Three letters picked without replacement from mctccmk. Give prob of picking 1 k and 2 m. 1/35 Two letters picked without replacement from ppzp. What is prob of picking 1 p and 1 z? 1/2 Two letters picked without replacement from {p: 1, l: 2, x: 2}. What is prob of picking 1 p and 1 x? 1/5 Two letters picked without replacement from hhhhhhhphhp. What is prob of picking 2 p? 1/55 Three letters picked without replacement from {m: 2, k: 1, u: 2, t: 8, c: 1}. What is prob of picking 2 t and 1 u? 2/13 What is prob of picking 3 c when three letters picked without replacement from aaccmacchcch? 1/11 What is prob of picking 2 o and 1 s when three letters picked without replacement from oqjsqqqjqqqoqso? 6/455 Four letters picked without replacement from rzarccxxaammaxaazz. What is prob of picking 1 m, 1 x, and 2 c? 1/510 Three letters picked without replacement from dgnng. Give prob of picking 2 n and 1 g. 1/5 Calculate prob of picking 4 v when four letters picked without replacement from {x: 2, v: 16}. 91/153 Three letters picked without replacement from eezezeze. What is prob of picking 3 e? 5/28 Calculate prob of picking 2 w and 2 r when four letters picked without replacement from {w: 2, r: 6}. 3/14 Three letters picked without replacement from uazuzzzzzzzpzpexazz. Give prob of picking 3 e. 0 What is prob of picking 1 c and 1 z when two letters picked without replacement from czzz? 1/2 Two letters picked without replacement from avb. Give prob of picking 1 v and 1 a. 1/3 What is prob of picking 1 i and 1 l when two letters picked without replacement from {l: 2, i: 1}? 2/3 What is prob of picking 4 i when four letters picked without replacement from jttjttitjtijt? 0 Calculate prob of picking 2 j when two letters picked without replacement from {n: 1, s: 1, j: 12, o: 2, u: 3}. 22/57 What is prob of picking 1 u, 1 r, and 2 w when four letters picked without replacement from {w: 2, u: 1, i: 1, r: 1}? 1/5 Three letters picked without replacement from gkkjgvjjkgvkqvkjvvjk. What is prob of picking 1 q and 2 k? 1/76 Three letters picked without replacement from qnqqqnnkknkkqkkkk. What is prob of picking 2 n and 1 q? 3/68 Three letters picked without replacement from {i: 1, r: 1, v: 6, o: 5, n: 2, p: 5}. Give prob of picking 1 o, 1 i, and 1 v. 1/38 Calculate prob of picking 4 c when four letters picked without replacement from ccoocssocss. 1/330 Two letters picked without replacement from nooooooooooooooono. What is prob of picking 1 n and 1 o? 32/153 What is prob of picking 1 f and 1 w when two letters picked without replacement from wywwyyfyf? 1/6 Calculate prob of picking 2 e when two letters picked without replacement from {y: 1, e: 2, v: 4, c: 1, a: 3, q: 1}. 1/66 Three letters picked without replacement from hymmyhhm. What is prob of picking 3 h? 1/56 Calculate prob of picking 1 j and 1 z when two letters picked without replacement from {h: 5, j: 10, z: 4}. 40/171 Calculate prob of picking 2 f and 2 w when four letters picked without replacement from fwfwwfffffw. 21/55 Calcul
{ "pile_set_name": "DM Mathematics" }
Which is the nearest to 1? (a) v (b) z (c) w a Suppose -4*f - 249 = -117. Let s be -6 - 68*3/f. What is the nearest to 0.2 in 12, 5/3, s? s Let j = 196817 + -196817.2. Let z = 6 + -3. What is the nearest to 2/3 in j, z, 2? j Let r = 0.0318 - -0.0762. Which is the closest to r? (a) -0.1 (b) -1 (c) 4 a Suppose -131 = -42*t + 79. What is the closest to 0 in -0.4, t, 4? -0.4 Let y = 0.45 + -0.05. Let u = -37587/2 + 18792. What is the closest to 0 in 0.2, u, y? 0.2 Let l = 715/68 + -183/17. Which is the nearest to 0.1? (a) l (b) -0.4 (c) 2/3 (d) -3/4 a Let z = 624 - 626. Let q = -0.037 + 2.037. Which is the closest to z? (a) 4 (b) -1/26 (c) q b Let j be 1*-3*(0 + (-3)/9). Let i = -236/57 - -66/19. Which is the nearest to j? (a) 1 (b) i (c) 2 a Let h = 369.4 - 366.4. What is the closest to -6 in -0.3, 1/9, h? -0.3 Suppose 4974 = 10*l + 724. Let r = 419 - l. What is the closest to -2/17 in -1, 2/17, r? 2/17 Let q = -26331.1 + 26331. Which is the nearest to q? (a) -0.025 (b) 4/5 (c) -2 a Let h = -2432 - -2433. Which is the nearest to h? (a) -0.07 (b) -0.5 (c) 2/11 (d) 3 c Let f = 6.24 - 6. Let i = 17.9 - 20.14. Let o = i + f. Which is the nearest to -8? (a) o (b) 0 (c) 5 a Let j = 8/41 + 83/205. Let n = -913 - -912.6. What is the closest to -9 in n, 3, j? n Let p = -44796 + 44796.2. What is the closest to -14/9 in -0.3, -2/11, p, -5/7? -5/7 Suppose -8 = -2*y + f - 10, 0 = 3*f + 12. Let w = 554 - 549. Which is the nearest to -0.2? (a) 10 (b) w (c) 0.1 (d) y c Let c be (-1 - (-1 - 2))*3. Suppose -20*p = -23*p + c. Let g = -0.55 + 0.35. What is the nearest to -2/3 in g, 7/4, p? g Suppose -p + 45 = -6*p. Let d be (-1)/(p/6)*1/(-50). Let l = -68/525 + d. What is the nearest to 5 in 2/7, l, 1/9? 2/7 Let o = -7 + 7. Let s = -13.7 + 4.5. Let z = -9.6 - s. Which is the nearest to 0.1? (a) -0.5 (b) o (c) z b Let m = -20122/45 + 4028/9. What is the closest to -6 in 0, -0.011, m, -1? -1 Let q = 0.4735 - 3.4735. What is the closest to q in -5, 5, 0.1? -5 Let n = 0.2 - 3.6. Let t = 3.2 + n. Let p(d) = -9*d**2 + 6*d + 8. Let z be p(-1). Which is the closest to z? (a) -1 (b) t (c) 3/4 a Let z = -21 + 16. Suppose 4*x = -5*n + 23, -4*x + n + 0*n + 5 = 0. Suppose -s - x*u = 2*s + 8, 8 = -2*u. Which is the nearest to 8? (a) z (b) s (c) -4/7 b Let z = -17 - -20.9. Let o = 4 - z. Let f = -126 + 126.3. What is the closest to 1/3 in o, 0.2, f? f Suppose 158*x + 1 - 1 = 0. Which is the closest to 0? (a) 1 (b) x (c) -0.103 (d) -0.3 b Let v be 4*((-110)/(-4))/5. Let y be (-2)/(-8) - v/(-8). Let d = -9838 + 9837.6. What is the nearest to y in 0.3, -1, d? 0.3 Let a = 2.94708 - -0.05292. What is the nearest to 0 in -2/5, 0.65, a? -2/5 Let z be (-3)/6 + 7/(-4). Let j = 3583.47 + -3575.47. What is the nearest to 0.1 in z, 0.5, j? 0.5 Let m = 0.22 - 0.02. Let x = -1.36 - 1.14. Let w = -2.4 - x. What is the closest to m in w, 3, 0.2? 0.2 Let s be -9 - (-737)/77 - 27/35. Let f = 1 + -3. What is the closest to -5 in s, 4, f? f Suppose 4*d - 5*g = 39, -3*g + 2 - 29 = -3*d. Let t(c) = 6 + 0*c + 2*c - 3*c. Let f be t(d). What is the closest to 1 in 9, -0.5, f? f Let m be (-32)/2 - -1 - 14976/(-1008). Let g be (-2)/(-30)*1490/(-8). Let z = g + 67/6. Which is the nearest to 6? (a) m (b) z (c) -1/3 a Let h = -0.0319 - 0.3681. Which is the closest to 2/3? (a) 0.5 (b) 0.17 (c) h a Let h be (2/(-3))/(4/(-6)). Let r = -982 - -3931/4. What is the nearest to h in -1/2, 1, r? 1 Suppose 2*c + m + 55 = 0, -27*c - 2*m = -32*c - 160. What is the nearest to c in 2, 62, 0.5? 0.5 Let c = -10003 + 10009. What is the closest to c in -6, -2/7, -1/5? -1/5 Let o = 240 + -3118/13. Let l = 0.0654 + -28.0654. Let s = l + 32. What is the closest to -1 in -0.3, o, s? -0.3 Let k = 2077/119 + -123/7. Let d = -6 - -5.87. Which is the closest to d? (a) 2 (b) k (c) -4 b Let p = -0.3658 + -4.6342. What is the closest to 0 in p, -4, 245? -4 Let s = 1952.03 + -1952. What is the nearest to -20 in s, 3, 0.1? s Let b = 0.84 + 0.06. Let t = b + -1. Let k = -3577 + 3556. What is the closest to 0 in k, -3, t? t Let z(n) = n**2 - 3*n + 5. Let j be z(0). Let h = 361.77 - 361.87. Let i = 0 + 5. Which is the nearest to i? (a) -2/5 (b) h (c) j c Let k = 195 - 194.5. Let h = -1397 + 1396. Which is the nearest to h? (a) -4 (b) -0.3 (c) -0.39 (d) k c Let z = -11183 + 11178. Which is the nearest to -4/3? (a) z (b) 2 (c) 0.1 (d) -0.04 d Let x = -1477 - -1475. Let z = -2.06 + 2.16. Which is the nearest to z? (a) x (b) -4 (c) 0.2 c Let r = 3.5 + -3.65. Let i = r + 15.15. Let d = -15.5 + i. Which is the nearest to -2? (a) d (b) -0.4 (c) -0.3 a Let g be (-62)/14 + -3*(-4)/28. What is the closest to -1 in g, -5, -3? -3 Let a = -5/14 - -6/7. Let o = -151/330 - -13/22. Let r be (44/176)/(12/(-32)). What is the closest to a in -0.5, o, r? o Let p = 0.735 - 1.135. Let q = -0.101 + 0.081. What is the closest to 0.1 in q, 0.19, p? 0.19 Let v = -8/607 + 1302/6677. What is the nearest to 186 in 3, v, 5/6? 3 Suppose -4*t + 2*k + 138 + 16 = 0, 0 = -t + 2*k + 46. Suppose 13*d - 22*d = -t. Suppose d = 2*r - 6. What is the closest to 0.2 in r, -2/13, 3? -2/13 Let f = 109 + -765/7. Let u = -6232 + 6234. What is the closest to 0.1 in u, -3/2, f? f Let p = 15/1757 - -6743/33383. Which is the closest to p? (a) -3 (b) 3 (c) -0.24 c Let w = -8 - -13. Let m be (-130)/52 + (-16)/(-6). Let c = 9.1 + -9.4. What is the nearest to m in w, -1/3, c? c Let y = 1/688 + 1363/8944. Let g = 51 + -41. Let r be ((-3)/(-9))/(g/12). Which is the closest to -2? (a) r (b) y (c) -2 c Suppose 7 = -15*h - 23. Let k = 161 + -160. Let p = -1.4 - 4.6. Which is the closest to p? (a) h (b) -5 (c) k b Let k be (-65)/26*(-2 - 155/(-75))*-3. What is the nearest to 14/9 in -1/4, 2/23, k, 2? 2 Let o = -181 - -1269/7. Let f = 13.17 + -13.07. What is the nearest to -1 in -2/9, 0.3, f, o? -2/9 Suppose -732*w - 50 = 2*r - 737*w, 3*w - 24 = 0. What is the closest to r in 5, 32, -1/2? -1/2 Let v be 1*2/6 - 42150/495. Let j = 85 + v. Let p = -0.1 - 0.9. Which is the closest to p? (a) -6/11 (b) j (c) 0.2 a Let b be ((-3)/10)/(2 + 3 - (-26)/(-10)). What is the nearest to -17/5 in 5, -0.4, b, 0.14? -0.4 Let i = -9535.2 - -9535. What is the nearest to i in -3, 57, -2/11? -2/11 Let s be 42/130 + (-158)/(-2054). Suppose -r + 0*n - 2*n = 5, -3*n + 5 = 4*r. Which is the closest to s? (a) 0.8 (b) r (c) 0.4 c Let n = -238/3 + 80. Let o = 112040 - 112040.3. Which is the closest to 1/4? (a) n (b) o (c) -0.7 a Let q = 103 + -150. Let m = -1969.61 + 1969.11. Which is the nearest to -0.1? (a) -0.3 (b) m (c) q a Suppose 4*s + 8 = 0, 2*m - 4 = -30*s + 33*s. What is the closest to m in 3, 5, 0.3, 6? 0.3 Let g = 21 - 21.19. Let y = g + -0.11. Let o(t) = -t**3 - 5*t**2 - 9*t - 17. Let n be o(-4). Which is the nearest to 1/5? (a) n (b) 0 (c) y b Let l = 7387.8 + -7388. What is the nearest to 2/5 in l, 5.5, -0.3, -2? l Let h = 35.81 - 36.11. What is the closest to -24 in -0.2, 1/14, h, 3? h Let w(g) = g**3 + g**2 - 9*g - 6. Let l be w(-3). Suppose 0*b = 5*n + 4*b + 3, 5*n + b = l. Let s = 0 + 0. What is the nearest to s in n, -24, -4/7? -4/7 Suppose -32 + 11 = 7*u. Let n be (-1 + 0 - -2)*1/u. What is the nearest to -2 in n, 0.7, 4? n Let f = -3315 - -3324. Which is the closest to f? (a) 1/8 (b) 0.5 (c) 1 (d) 5 d Let x = 6.8 - 6.9. Suppose 3*t = -3*y - 9, 2*t - 8 + 15 = -y. Which is the closest to y? (a) 15 (b) 2/7 (c) x b Let z = -44 - -416. Let m = z + -370. What is the closest to 0.3 in m, 1/5, 0.5? 1/5 Let m(s) = s**3 + 3*s**2 + 3*s. Let v be m(-2). Let c(b) = -2*b**2 - 2*b - 1. Let f be c(-1). Let a = 1584.29 - 1581.29. What is the closest to v in 0.3, a, f? f Let l be -18 + 28 - 35/10*2. Which is the closest to 0.1? (a) -5 (b) l (c) 5 b Let t = -5/474 - 913/3318. Which is the closest to t? (a) -13 (b) -0.05 (c) -5 b Let n = -63 - -64.9. Let f = -2 + n. Which is the nearest to f? (a) 4/5 (b) -4 (c) 0.6 c Let m be (-69)/(-115) + (-1132)/(-5). Suppose 6*k - 239 = -m. Which is the nearest to k? (a) -2 (b) 0 (c) 0.3 c Let v = -6 - -5.6. Let x = 4805 - 4804.7. Let k = 0.11 + -4.11. Which is the closest to 1/4? (a) k (b) v (c) x c Let g(n) = -5*n - 71. Let r be (-6)/(5 - 6) - 20. Let m be g(r). Which is th
{ "pile_set_name": "DM Mathematics" }
t t(m) = 0. What is m? -4, -1/4 Let l = -5289 - -5292. Factor -2/5*a**l + 2/5*a + 0*a**2 + 0. -2*a*(a - 1)*(a + 1)/5 Let x(h) = h**5 - h**4. Let k(u) = 8*u**5 - 18*u**4 - 128*u**3 - 424*u**2 - 592*u - 304. Let c(m) = -2*k(m) + 14*x(m). Factor c(q). -2*(q - 19)*(q + 2)**4 Let l(a) be the third derivative of a**5/48 - a**4/48 + a**2 - 42. Factor l(r). r*(5*r - 2)/4 Let g(q) = q**2 + q - 4. Let x be g(2). What is v in v + 10 + 0*v**2 + 4*v + 3*v**2 - 8*v**x = 0? -1, 2 Let g(f) = 2*f**2 + 2*f - 4. Let b be g(-3). Suppose 0*i = 5*y + 2*i - 7, 2*i = -8. Factor 24*r**3 - 12*r**4 - 12*r**2 + 3*r**5 + 2*r**y + 3*r - b*r**3. 3*r*(r - 1)**4 Let u(c) be the second derivative of -c**7/252 + c**6/120 + c**5/30 + 13*c**4/12 - 19*c. Let g(y) be the third derivative of u(y). Factor g(f). -2*(f - 1)*(5*f + 2) Let p(q) = 6*q**2 - 13*q + 21. Suppose -12*b + 7*b = 20. Let g(s) = 5*s**2 - 12*s + 20. Let x(r) = b*p(r) + 5*g(r). Factor x(v). (v - 4)**2 Let y(s) be the first derivative of s**3/9 + 71*s**2/6 + 46*s + 299. Factor y(k). (k + 2)*(k + 69)/3 Let y be -14 + (-4824)/(-342) - 300/(-38). Factor 4/3 - 16/3*o - 16/3*o**3 + 4/3*o**4 + y*o**2. 4*(o - 1)**4/3 Let k = -3781/88 + 474/11. Let w(u) be the second derivative of k*u**4 + 0 + 3/4*u**2 + 1/2*u**3 - u. Suppose w(n) = 0. What is n? -1 Let b(h) be the third derivative of -h**6/120 - h**5/12 - h**4/4 - 2*h**3/3 - 2*h**2. Let o be b(-4). Factor 3*t**4 + 2*t**4 + 2*t**3 - 3*t**o. 2*t**3*(t + 1) Let l = -57034/3 + 19012. Determine p so that l*p**2 + 10/3*p + 8/3 = 0. -4, -1 Find m, given that m + 4*m**4 + 35*m**2 + 0*m - 16*m**2 - 22*m**2 = 0. -1, 0, 1/2 Let x = -173/6 - -88/3. Let q(l) = -l**3 - 6*l**2 + 7*l + 4. Let b be q(-7). Let -w**2 + b + x*w**3 - 2*w = 0. Calculate w. -2, 2 Let y(c) be the second derivative of c**6/6 + c**5/4 - 15*c**4/4 + 55*c**3/6 - 10*c**2 - 54*c + 2. Factor y(f). 5*(f - 1)**3*(f + 4) Let k(g) be the second derivative of 0*g**5 + 1/135*g**6 + 0 - 1/54*g**4 + 0*g**3 + 4*g + 0*g**2. Factor k(l). 2*l**2*(l - 1)*(l + 1)/9 Let l(h) = 5*h**3 + 75*h**2 - 80*h - 6. Let t(m) = 1. Let o(a) = -l(a) - 6*t(a). Factor o(k). -5*k*(k - 1)*(k + 16) Let c(h) = h**2 + 25*h + 48. Let y be c(-2). Let i = 109 + -541/5. Factor -y*u**2 + i + 6/5*u. -2*(u - 1)*(5*u + 2)/5 Let c be (1 - -1)/(6/24). Find a, given that a**4 - 27*a**2 + 12*a + 4 + c*a**4 - 3*a**3 + 5*a**3 = 0. -2, -2/9, 1 Let n = 1619 + -1619. Let u(x) be the third derivative of 0*x**3 + 0 - 5/32*x**4 + 1/12*x**5 + 13*x**2 + n*x. Let u(s) = 0. Calculate s. 0, 3/4 Let t(g) = 56 + 35*g - 73*g + 32*g. Let n be t(9). Factor 4/3 + n*w**2 + 2/3*w**3 - 2/3*w**4 - 10/3*w. -2*(w - 1)**3*(w + 2)/3 Let g(q) be the third derivative of -q**6/720 - q**5/60 - 5*q**4/144 - 4*q**2 - 12. Factor g(i). -i*(i + 1)*(i + 5)/6 Let a = 4 + 0. Find d, given that 0*d**2 + a*d**2 - 3*d**2 - 4*d**2 - 6 + 9*d = 0. 1, 2 Let t be (-10)/(-4) - 27/18. Solve 3342*l**2 + 60*l**4 + t + 3 + 100*l**3 + 30*l + 14*l**5 - 3262*l**2 = 0 for l. -1, -2/7 Let g(c) be the first derivative of 2*c**5/5 - 3*c**4 + 8*c**3/3 + 6*c**2 - 10*c - 24. Solve g(n) = 0. -1, 1, 5 Let l(b) = -6*b**2 - 41*b + 10. Let c be (2/(-2))/(2 + 52/(-28)). Let t be l(c). Find q such that 28/15*q**2 + 2/5*q + 14/15*q**t - 8/15*q**4 + 0 = 0. -1, -1/4, 0, 3 Let u(k) be the first derivative of -k**5/25 - 21*k**4/10 - 88*k**3/3 + 21*k**2/5 + 441*k/5 + 50. Factor u(g). -(g - 1)*(g + 1)*(g + 21)**2/5 Let d be 6/(-3) + -4 + 7. Let j be (14 - 12) + d/(-4). Factor -7/4*q + 1/2*q**2 + j*q**3 - 1/2. (q - 1)*(q + 1)*(7*q + 2)/4 Let j(w) be the second derivative of w**6/90 - 22*w**5/15 + 43*w**4/6 - 128*w**3/9 + 85*w**2/6 - 868*w. Let j(x) = 0. Calculate x. 1, 85 Let b(h) be the first derivative of h**8/1008 - h**7/315 + h**5/90 - h**4/72 - h**2/2 - 11. Let l(p) be the second derivative of b(p). Factor l(v). v*(v - 1)**3*(v + 1)/3 Determine g, given that -18*g**3 - 5 + 5*g**2 + 5*g - 22*g**3 + 35*g**3 = 0. -1, 1 Let b(w) = 15*w**5 - w**4 + w**3 - 4*w**2 - 11*w. Let a(l) = 2*l**2 - 8*l**5 + 13*l - 17*l + 10*l. Let h(u) = 11*a(u) + 6*b(u). Factor h(g). 2*g**2*(g - 1)**3 Let x(z) be the third derivative of -z**6/40 - 63*z**5/20 - 120*z**4 + 512*z**3 + 336*z**2. Factor x(v). -3*(v - 1)*(v + 32)**2 Factor 5/3*q**3 - 735 - 215/3*q**2 + 805*q. 5*(q - 21)**2*(q - 1)/3 Let v(y) be the third derivative of y**5/12 - 25*y**4/24 - 5*y**3 - y**2 + 11. Factor v(i). 5*(i - 6)*(i + 1) Let y(f) be the third derivative of -f**6/180 + 8*f**5/9 - 400*f**4/9 - 225*f**2 - 2. Factor y(k). -2*k*(k - 40)**2/3 Let u(j) be the second derivative of -2*j + 1/40*j**5 + 1/12*j**3 + 0 + 0*j**2 - 1/12*j**4. Factor u(b). b*(b - 1)**2/2 Let r(h) = h**2 + 81*h + 1182. Let x be r(-19). Factor -4/7*d + 10/7*d**2 + 2/7*d**x - 8/7*d**3 + 0. 2*d*(d - 2)*(d - 1)**2/7 Let q be 3 + -1 - (-1 - -1). Let n be -2*(30/(-140) + 0). Factor 0 - 3/7*b**q + n*b. -3*b*(b - 1)/7 Suppose -4*l + 4 = -0*l. Suppose -3*g - l = u, 0*u + 4*u = 3*g + 11. Find o such that 2 - 4 + 0*o**u + o**2 - 2 = 0. -2, 2 Let d(c) be the third derivative of -2/105*c**7 - 1/6*c**6 - 13*c**2 + 0 + 0*c**3 - 8/15*c**5 - 2/3*c**4 + 0*c. Solve d(l) = 0. -2, -1, 0 Let p = 21 - 18. Suppose -2*r = p*k + 2*r - 13, 4*r - 2 = -2*k. Suppose 4 + k*c - 17*c + 3*c**2 - 1 = 0. Calculate c. 1 Let f be (-20)/10 - (-828)/15. Solve -20*j**5 - f*j**3 + 4*j**2 - 66*j**4 + 72/5*j + 16/5 = 0. -2, -1, -2/5, 1/2 Suppose 0 = -2*v + 1 + 3. Factor -2*m**2 + v*m - 2*m**2 + 4*m**2 + m**2 - 3. (m - 1)*(m + 3) Let r = 1754 + -1750. Let h(y) be the second derivative of 3*y + 1/6*y**r + 0 + 1/3*y**3 + 0*y**2. Factor h(b). 2*b*(b + 1) Suppose -2*i - 3*i = 5*m - 35, -3*m = -3*i + 21. Suppose i*z - 10*z + 6 = 0. Factor -1/2*u**4 - 3/2*u**z + 1/2*u + 3/2*u**3 + 0. -u*(u - 1)**3/2 Let x(j) be the second derivative of -3*j**7/35 + 7*j**6/75 - j**5/200 - j**4/60 + 47*j + 1. Find b such that x(b) = 0. -2/9, 0, 1/2 Factor -9*z**3 + 15*z + 11*z + 60*z**3 - 26*z + 30*z**2 + 3*z**5 + 24*z**4. 3*z**2*(z + 1)*(z + 2)*(z + 5) Let h = 962/4775 + -7/4775. Suppose -h + 1/5*n**2 + 0*n = 0. What is n? -1, 1 Let l(v) be the third derivative of -v**2 + 4/45*v**5 + 2/315*v**7 + 0*v + 0*v**3 + 0*v**4 + 2/45*v**6 + 0. Factor l(f). 4*f**2*(f + 2)**2/3 Let l = 0 - -2. Let k be ((-49)/(-63))/((-17)/(-153)). Factor 5 - k*n + 3 + 0*n**2 + 2*n**l - n. 2*(n - 2)**2 Let r(k) = -4*k**2 + 12*k + 20. Let q be r(-2). Let w be (11 + -2)*q/(-90). Factor 64/5*h**w + 44/5*h**4 - 2*h**5 + 4/5 - 76/5*h**3 - 26/5*h. -2*(h - 1)**4*(5*h - 2)/5 Suppose 56*f - 9*f - 235 = 0. Let j(a) be the second derivative of 0*a**2 + 1/20*a**f + 0*a**3 + 0 + 1/6*a**4 - 4*a - 1/30*a**6. Factor j(n). -n**2*(n - 2)*(n + 1) Let v(f) be the first derivative of f**4/4 + 38*f**3/3 + 198*f**2 + 648*f + 584. Factor v(u). (u + 2)*(u + 18)**2 Let n(a) be the second derivative of a**5/20 - 13*a**4/12 - 7*a**3/3 + a + 65. What is w in n(w) = 0? -1, 0, 14 Let o(q) be the first derivative of q**4/8 + 3*q**3/2 - 21*q**2/4 + 11*q/2 + 46. Factor o(n). (n - 1)**2*(n + 11)/2 Let y(d) be the second derivative of -d**5/90 - 2*d**4/9 - 5*d**3/3 - 6*d**2 + 2*d - 96. Factor y(m). -2*(m + 3)**2*(m + 6)/9 Let y(g) be the second derivative of 5*g**9/432 - g**8/28 + g**7/56 + g**6/36 + g**3/2 + 2*g. Let j(n) be the second derivative of y(n). Solve j(o) = 0 for o. -2/7, 0, 1 Find a, given that 4/9*a**2 + 0 - 4/9*a**4 + 28/9*a**3 - 4/9*a**5 - 8/3*a = 0. -3, -1, 0, 1, 2 Factor 2/3*p**3 - 2/21*p**4 + 0 + 16/21*p**2 + 0*p. -2*p**2*(p - 8)*(p + 1)/21 Let h(b) be the third derivative of 169*b**6/120 + 13*b**5/45 + b**4/54 - 120*b**2. Factor h(d). d*(39*d + 2)**2/9 Let g(j) = 4*j**2 + j + 1. Let k(i) = 28*i**2 + 979*i + 14887. Let t(z) = -3*g(z) + k(z). Determine w so that t(w) = 0. -61/2 Factor 1296/7 - 144/7*p + 4/7*p**2. 4*(p - 18)**2/7 Let n(d) be the first derivative of 2*d**6/3 + 24*d**5/5 + 12*d**4 + 40*d**3/3 + 6*d**2 + 184. Suppose n(c) = 0. Calculate c. -3, -1, 0 Solve -3*i**2 + 19 + 59 - 13*i + 17*i + 29*i = 0. -2, 13 Let d(g) = 4*g**3 - 424*g**2 + 420. Let z(b) = 8*b**3 - 848*b**2 + 2*b + 838. Let p(w) = -5*d(w) + 2*z(w). Solve p(h) = 0 for h. -1, 1, 106 Suppose -9*l = -12*l. Suppose 10 + 2 = -4*b, 5*p + 3*b - 16 = l. Determine g so that 2*g - 6*g + 3*g**3 + 6 - p*g = 0. -2, 1 Let u(c) be the first derivative of 4*c**5/5 - 10*c*
{ "pile_set_name": "DM Mathematics" }
culate the greatest common factor of 14320 and 60. 20 Calculate the greatest common factor of 744 and 27936. 24 What is the highest common divisor of 118842 and 116? 58 Calculate the highest common factor of 92260 and 20. 20 Calculate the greatest common factor of 100 and 230975. 25 What is the greatest common factor of 29696 and 24064? 512 What is the highest common divisor of 8587 and 1385? 277 What is the greatest common factor of 616 and 1337? 7 Calculate the greatest common factor of 525 and 25950. 75 Calculate the highest common divisor of 11341 and 22. 11 What is the greatest common divisor of 414052 and 68? 68 Calculate the greatest common divisor of 109888 and 25024. 1088 Calculate the highest common factor of 492 and 1353. 123 Calculate the highest common divisor of 1290 and 253872. 258 What is the greatest common factor of 80 and 80980? 20 What is the highest common divisor of 808372 and 244? 244 What is the greatest common factor of 6223 and 19177? 127 What is the greatest common factor of 1735 and 44763? 347 What is the greatest common factor of 311366 and 11? 11 What is the highest common factor of 323 and 158? 1 Calculate the highest common divisor of 1137 and 334657. 379 What is the highest common factor of 2980 and 5848250? 1490 What is the greatest common divisor of 13077 and 63? 9 What is the highest common factor of 391 and 93857? 17 Calculate the greatest common factor of 44160 and 552. 552 Calculate the greatest common factor of 309049 and 13. 13 Calculate the greatest common factor of 490 and 1167670. 490 What is the greatest common divisor of 496 and 75454? 62 What is the greatest common factor of 974365 and 410? 205 Calculate the highest common factor of 228 and 556548. 228 Calculate the greatest common divisor of 183647 and 4623. 67 Calculate the highest common divisor of 504072 and 30. 6 What is the greatest common divisor of 494 and 7486? 38 What is the highest common divisor of 5184 and 99? 9 Calculate the highest common factor of 2516 and 311614. 74 Calculate the greatest common divisor of 1794 and 390. 78 Calculate the greatest common divisor of 17420 and 12. 4 Calculate the greatest common factor of 33306 and 112. 14 What is the greatest common factor of 1440804 and 12? 12 What is the greatest common factor of 4 and 27614? 2 What is the highest common factor of 112 and 2604? 28 Calculate the highest common divisor of 96182 and 34. 2 What is the highest common divisor of 34587 and 41419? 427 Calculate the highest common factor of 6643 and 143. 13 Calculate the greatest common factor of 375 and 185175. 75 What is the highest common factor of 1136784 and 4752? 528 Calculate the greatest common divisor of 10736 and 1769. 61 What is the highest common factor of 575 and 1425? 25 Calculate the highest common divisor of 3186 and 4602. 354 Calculate the greatest common divisor of 19410 and 240. 30 Calculate the greatest common divisor of 154 and 85382. 22 What is the highest common factor of 260 and 2260? 20 Calculate the highest common divisor of 245 and 21331660. 245 What is the greatest common divisor of 475 and 5130? 95 Calculate the greatest common factor of 99 and 114. 3 Calculate the highest common divisor of 12 and 73209. 3 Calculate the highest common factor of 249 and 17513. 83 What is the greatest common divisor of 2394433 and 2074? 1037 What is the highest common factor of 586 and 379142? 586 What is the highest common factor of 498186 and 312? 78 What is the greatest common factor of 458 and 223733? 229 Calculate the greatest common factor of 358682 and 722. 38 What is the highest common factor of 5969 and 7849? 47 What is the highest common factor of 5 and 5214985? 5 What is the greatest common factor of 2725096 and 6920? 1384 Calculate the greatest common factor of 25 and 180365. 5 Calculate the highest common factor of 536 and 15678. 134 Calculate the highest common divisor of 13699 and 4123. 133 Calculate the greatest common factor of 176 and 18293. 11 Calculate the highest common factor of 166526 and 3074. 106 Calculate the highest common factor of 168989 and 2429. 347 Calculate the greatest common factor of 43493 and 4462. 23 What is the greatest common divisor of 21919 and 3197? 23 Calculate the greatest common divisor of 2217 and 81. 3 Calculate the highest common factor of 2112688 and 736. 368 What is the highest common divisor of 682067 and 151? 151 Calculate the greatest common divisor of 1634 and 51815. 43 Calculate the greatest common factor of 253704 and 396. 132 What is the greatest common divisor of 621536 and 16? 16 Calculate the greatest common factor of 176462 and 130. 26 Calculate the greatest common divisor of 7336270 and 890. 890 What is the highest common divisor of 1180038 and 102? 102 Calculate the greatest common factor of 1915 and 20. 5 What is the greatest common divisor of 242 and 166342? 22 What is the greatest common factor of 615 and 887035? 205 Calculate the greatest common divisor of 6 and 61338. 6 What is the greatest common divisor of 270 and 6945? 15 Calculate the greatest common divisor of 48578 and 13054. 214 Calculate the greatest common divisor of 128 and 15648. 32 Calculate the greatest common factor of 286560 and 1200. 240 Calculate the greatest common divisor of 2653 and 2303. 7 Calculate the greatest common divisor of 9595 and 2323. 101 Calculate the greatest common factor of 768 and 4071744. 192 What is the highest common factor of 72 and 15498? 18 What is the highest common divisor of 78 and 559968? 6 Calculate the highest common factor of 710 and 2290. 10 Calculate the highest common factor of 73488 and 300. 12 What is the highest common divisor of 1004 and 45682? 502 What is the highest common factor of 12 and 10232? 4 What is the highest common divisor of 1640 and 192800? 40 Calculate the greatest common factor of 1744694 and 133. 133 Calculate the highest common factor of 8589558 and 342. 114 What is the highest common divisor of 488 and 86536? 8 What is the highest common factor of 5546 and 7990? 94 What is the greatest common divisor of 290 and 87? 29 Calculate the greatest common factor of 46 and 71875. 23 What is the greatest common divisor of 15392178 and 201? 201 Calculate the greatest common factor of 2 and 7673. 1 Calculate the highest common factor of 450495 and 4473. 639 What is the highest common factor of 74140 and 160? 20 What is the greatest common divisor of 54498 and 37504? 586 Calculate the greatest common factor of 254858 and 366. 122 Calculate the highest common divisor of 3807 and 26884. 47 Calculate the greatest common factor of 1251136 and 452. 452 What is the greatest common factor of 3358009 and 9655? 1931 Calculate the highest common factor of 77541 and 81. 3 Calculate the greatest common factor of 350441 and 182. 91 Calculate the highest common factor of 78407 and 69. 23 Calculate the greatest common factor of 860 and 270341. 43 Calculate the greatest common factor of 127216 and 48. 16 Calculate the highest common divisor of 97606 and 2516. 74 What is the highest common divisor of 18074 and 1729? 7 Calculate the highest common divisor of 795715 and 215. 215 Calculate the greatest common divisor of 38335 and 369. 41 What is the highest common factor of 201 and 12? 3 What is the highest common divisor of 25 and 53225? 25 Calculate the highest common divisor of 59177 and 221. 17 Calculate the greatest common factor of 1652 and 5251. 59 Calculate the highest common divisor of 3510 and 159570. 270 Calculate the greatest common factor of 12 and 930324. 12 Calculate the highest common divisor of 351708 and 18444. 636 What is the greatest common divisor of 14 and 38545? 1 What is the greatest common factor of 79 and 131? 1 Calculate the greatest common factor of 66110 and 275. 55 Calculate the highest common divisor of 1412655 and 1845. 615 What is the greatest common divisor of 1196 and 7360? 92 What is the highest common factor of 3255 and 56265? 465 What is the highest common divisor of 8361 and 927? 9 Calculate the greatest common divisor of 120433 and 415. 83 Calculate the highest common divisor of 346 and 271956. 346 What is the greatest common factor of 91062 and 18? 18 What is the highest common factor of 25952 and 224? 32 Calc
{ "pile_set_name": "DM Mathematics" }
8 + 12 + 36. 18 What is the value of 1 + -28 - (-18 - -3)? -12 Calculate -67 + 48 - (13 - 34). 2 Evaluate -3 - -11 - (5 + 14). -11 Evaluate -10 + 12 - 2 - 1 - -5. 4 What is the value of -3 + -3 + (17 - 4 - (0 - 7))? 14 (0 + 12 - (-49 + 63)) + 1 -1 What is the value of -3 - (4 - (1 + 12)) - (-28 + 33)? 1 Evaluate (17 + -2 - 3) + -3 + (6 - 4). 11 Calculate 1 + -4 - (-10 + 8 + -10 - 6). 15 Evaluate (2 - -2) + -4 + (4 - 6) + -7. -9 What is the value of -13 - (-9 - -9) - (1 - 4 - -7)? -17 What is the value of (0 - (-3 + (3 - 2))) + -227 + 230? 5 What is the value of 9 + -5 + (-4 - (-15 - (7 + -16)))? 6 Evaluate -43 + 30 + (-6 + 8 - 6). -17 What is (-8 - -3) + -8 + (9 + -25 - -46)? 17 Calculate -6 + -3 - (-5 + -30 - (-4 + 4)). 26 What is the value of 8 - (1 + -7 + 11 - -4) - 14? -15 -4 + 3 + 6 + -6 + 1 + 2 2 What is the value of 3 - (-5 + 11 + -6) - 9 - -22? 16 Calculate -10 + (31 - (8 + 10)). 3 5 + (-20 + -18 + 9 - (4 - 4)) -24 Evaluate 15 + ((7 - 12) + 9 - 11). 8 What is the value of (1 - 6 - (2 + -10)) + 4 + -21? -14 -16 - ((-33 - 1) + 2) 16 Calculate 1 + 13 + -17 + 23. 20 Evaluate -6 + (1 - -4 - (-6 + 0)) + -11. -6 (-19 - -13) + 8 + (3 - -4) 9 What is the value of (-1 - (-11 - (-6 + 2))) + -1 + 4? 9 What is -2 + -7 - (-12 + 17 - -8) - -2? -20 What is (12 - 5) + (-2 - -3)? 8 -8 + (-1 - 1) - (19 + -8 - 12) -9 Calculate 16 - (15 - 4) - (-7 - (4 - 6)). 10 Evaluate (-1 + 13 - 4) + 1 + (-16 - -24). 17 What is the value of 5 - (-5 - 0 - -12 - -3)? -5 Calculate 27 + -91 + 31 - -25. -8 Calculate -4 + -7 + -6 + 32. 15 Evaluate 1004 + -1017 - (5 - (-2 - (-4 + 1))). -17 Evaluate 226 - 218 - (10 + 0) - -2. 0 What is the value of 0 + -6 + 1 - (32 + -52)? 15 What is the value of 12 - (49 - (29 + 18 + -33))? -23 What is the value of (35 + -5 - 7) + -15? 8 Evaluate -29 - -31 - (-3 - (3 + (0 - 4))). 4 What is 1 + -3 + (107 - 103) + -7? -5 What is the value of 2 + -1 + 9 + -15 + (-8 - -3)? -10 Calculate (-1 - 9) + (-2 - (-2 + -1)) + 5. -4 What is the value of -1 - ((1 - -10) + (17 - (-20 - -55)))? 6 Evaluate (34 - (1 - -9)) + (-14 - -16). 26 (9 - -1) + 37 + -5 + -43 -1 Calculate (-29 - -28) + (4 - -9). 12 (3 - (5 - (-3 + 5))) + 0 0 What is -8 + 5 + -5 + -7 + 11? -4 (-4 - ((-4 - -5) + -2 + 2)) + -7 -12 -24 + (14 - (-31 - -2)) 19 What is the value of (3 - (13 + -2)) + -3 + -2? -13 What is -125 + 133 + -2 + 0 + -5 - -14? 15 What is 3 + (-12 - (1 - 3))? -7 What is the value of -10 + 2 + 1 + 5 + -8? -10 Calculate (-26 - -19 - -16) + (-2 - -3). 10 What is the value of 30 + -27 - (10 + -1)? -6 Calculate (-11 + (3 - -2) - 1) + (25 - 21). -3 -48 + 26 - -11 - -28 17 Evaluate -1 + -4 - (458 - 444). -19 Calculate (1 - -8) + 3 + -20. -8 Evaluate 14 + -22 + -1 + 10 + 3. 4 Evaluate (-2 + -1 - 4 - -18 - 4) + -8. -1 -26 - -5 - (7 + -39) 11 What is -2 + -7 + -169 + 192? 14 What is the value of -14 + 3 + -1 + 3 + 9 + -13? -13 What is -4 + -5 + (4 - 6 - -6) + 5? 0 (-37 - -19) + 7 - (1 - 7) -5 What is 2 + (3 - 8) - 1 - (4 + -10)? 2 What is the value of -6 + -9 + 1 + 6 + -1? -9 Calculate (0 + 1 - (-11 + 19)) + 2. -5 Evaluate (-19 - -30) + -9 + (19 - 10). 11 Calculate -4 + -4 + (-1 - -3) + (8 - 9). -7 -8 + 24 + (7 - 24) -1 What is (32 - 11) + -19 + -16? -14 Calculate (0 - (-1 - -6 - 7)) + -30. -28 Calculate -20 - (8 - 1 - 10). -17 -8 + (3 - 10) - -10 -5 What is the value of -5 + (9 - 4 - (9 + -23))? 14 Evaluate 2 + -1 - (15 + -5 + (0 - -4)). -13 What is -4 + -3 - (-22 + (-9 - -18))? 6 What is (-8 - 0 - -2) + (3 - (-9 - -3))? 3 What is the value of 36 + -15 - (23 + 1)? -3 Calculate (5 + -5 - -8 - 8) + 3. 3 (1 - -4) + 4 + -5 + -81 + 95 18 Evaluate -7 - (-466 + 471 + 1 + -1 + 12). -24 What is the value of (27 - 0) + -29 - (1 + (1 - 3))? -1 What is the value of 19 + -8 + 13 + -6 + 8? 26 Calculate -4 + (69 - 24 - (3 - -8)). 30 Calculate 12 + (0 - (14 + 1) - 6). -9 What is the value of -10 + (-1 - (0 + -7)) + 0? -4 Calculate 5 + 7 - (-9 + (-13 - -16)). 18 What is the value of -8 + -6 + 33 + 6 + -5? 20 What is -38 - (-66 + 59 + -32)? 1 21 + 0 + 5 + 3 + -9 + -1 19 Calculate 4 + -4 + -1 - 7 - -23. 15 Calculate -17 - ((1 - -8) + -1 - 14). -11 What is the value of (6 - (7 - 4) - 2) + -7? -6 What is 1 - (-2 - 3) - -3 - (-62 - -51)? 20 Evaluate 4 - -15 - 27 - (10 + -9). -9 What is (-14 + -7 + 17 + -4 - 5) + -2? -15 What is the value of (38 - 27) + 1 + -5 + -18? -11 What is 19 + -11 + 4 + (-2 - 3) + 1? 8 Evaluate -1 + (-25 + 16 - (-21 - -1)). 10 Calculate -32 + 20 + 10 + -10. -12 Evaluate 26 + 22 - 42 - (1 + -4). 9 Evaluate (-17 - -33) + (-5 - -1) + -15. -3 Calculate 2 + (-15 - -24) + 0. 11 -4 + (-47 - (7 - 22)) -36 What is the value of 0 + (-8 - -8) + -2 + 0? -2 What is the value of -17 - (0 - (-5 + 33))? 11 Evaluate -3 + -1 + 1 + -5 + -84 + 105. 13 -7 + 7 + 0 - (84 - 70) -14 What is 3 - 0 - (3 + (12 - 12) + -17)? 17 Evaluate 9 + 13 + -10 + -10. 2 Evaluate -16 + 9 + (2 + 0 - 9 - -1). -13 What is 10 - (216 + -208 - (1 + -1 + -1))? 1 What is -3 + -33 + (550 - 480)? 34 Evaluate -16 - 3 - (-47 - -28). 0 What is 19 + 49 + -32 - 22? 14 What is (-537 - -493) + 2 + 16? -26 What is the value of -11 + (23 - 53) + 29? -12 Evaluate 12 + 1 - (217 - 166). -38 What is the value of -6 + 2 + (58 - 37)? 17 Calculate 1 - -4 - (-30 + 53 + -42). 24 What is the value of 8 + -17 - -11 - -6? 8 Evaluate (-5 - -1) + (5 - (10 + -7 - -9)). -11 Evaluate -15 - ((1 - -3) + 19 + -28). -10 Evaluate (55 - 47) + (-10 - 1) + (-14 - 2). -19 -27 + 2 - (8 - 5 - 12) -16 What is 14 - ((-3 - (0 + -3)) + 6 + 1)? 7 Calculate 3 - ((-6 - 1) + 4 + -6). 12 What is 13 + -11 + (-46 - -28)? -16 Evaluate 21 - 24 - -23 - 42. -22 Calculate 17 - (-10 + 23) - 8. -4 What is (55 - 46) + (-16 - -1)? -6 What is the value of -16 - (0 - (21 + -4))? 1 Calculate (-2 - (-11 + 4) - 11) + (2 - -5). 1 What is the value of 21 - (16 + 9) - (-4 + 2 + -21)? 19 Calculate 0 - ((6 - (1 - -1)) + 17 + -26). 5 (-3 + -4 - (24 + -12)) + 0 + 6 -13 What is the value of 2 + -3 + 21 + -10 + -1? 9 7 - (0 + 21 + -22 + 7) 1 What is -11 - (-47 - (-39 + -1) - (-9 + 0))? -13 What is 43 + -52 - (1 + (1 - -1))? -12 What is the value of (3 - 21) + -44 + 58? -4 Calculate (-43 - -40 - (1 - -3)) + (19 - -3). 15 -9 - (-15 + (15 - 20)) 11 4 + ((0 - (-5 + 6)) + -17 - -3) -11 (33 + -1 + -14 - 37) + -2 + 10 -11 What is the value of 2 + -1 - (9 - (7 - -7))? 6 What is the value of -28 - ((0 - -10) + -25)? -13 Evaluate -17 + (33 - -19) + -57. -22 Evaluate 30 - (26 - (7 + 3)). 14 Evaluate 2 + (3 - (4 - -5)) + 2. -2 What is 0 + (20 + 26 - 18)? 28 Calculate (-39 - -30) + -18 - -3. -24 Evaluate -40 + 37 + (21 - 30). -12 What is the value of -1 - -16 - (7 - (-2 - 4 - -8))? 10 59 - (41 + -25 - -11) 32 Evaluate 4 + -2 + -25 + 35. 12 Calculate -15 + 6 + -3 - 3 - 5. -20 (3 - -3) + (2 + -14 + -7 - 5) -18 Calculate -9 + (29 - -3 - 11) + -2. 10 Calculate (2 - -2) + -15 + -7 - (2 + -8). -12 8 + (-4 - 6 - -4) 2 Evaluate (7 - -4) + (-8 - -4) - 0 - -7. 14 Calculate (9 + -8 + 4 + 0 - -3) + -11. -3 What is the value of 1 + -7 + 4 + 3 + 9 + -2? 8 -44 - -22 - -25 - 10 -7 Calculate 2 + 2 + (12 - (-10 - -18)) + -5. 3 What is (12 - -1) + 79 + -78 - -1? 15 What is -9 + -1 - 0 - 1? -11 Calculate (36 + -29 - -30) + -13. 24 What is -57 - (-11 + 6) - -35? -17 Evaluate -10 - (9 + -3 - 8). -8 What is -3 - 1 - ((7 - 6) + -6)? 1 What is the value of 3 + 1 - (-9 + (-1 - -26))? -12 (7 - (-5 + (7 - (-6 - -5)))) + -13 -9 What is 14 - (-14 + 14 + 5)? 9 What is the value of 11 + -9 + -8 + 0? -6 What is 19 + -41 + 50 - 21? 7 14 - (-18 - (0 - 12)) 20 What is -11 + (-10 + 22 - 4) + 7? 4 98 + -95 + (1 - 2 - -1) 3 -14 - (2 + (4 - -13) + -14) -19 15 - 0 - (-115 + 120) 10 Calculate 1 - 12 - (-23 - -17 - 18). 13 Calculate -27 + 19 + (-8 - -10 - -9). 3 Evaluate -1 + 12 + (13 - 2) + 2 + -16. 8 What is (-49 - -44) + 3 + (-4 - -17)? 11 10 + (3 - 21 - -18) 10 What is (17 - 9) + (18 + -7 - 11)? 8 Calculate 8 - (-7 - ((-1 - 7) + (-95 - -94))). 6 What is the value of (-6 - -2) + -2 + (-6 - -6)? -6 What is -4 + -7 + -16 - (-3 + -3) - -5? -16 What is 36 - (-19 + 52) - -19? 22 What is (141 - 151) + 2 + -3 + 9 + -17? -19 Evaluate (18 + -21 - -10) + 1 + 7. 15 -1 + 0 + (8 + -11 - -5 - -13) 14 (4 - 1) + 0 - -9 - (-2 + 6) 8 What is the value of 69 + -71 - (1 + -20) - 9? 8 Calculate 69 - 55 - (2 + 5). 7 Evaluate -64 + 105 - (1 - (-9 - 8)). 23 (3 + -2 - (8 +
{ "pile_set_name": "DM Mathematics" }
tors of 172854864. 2, 3, 7, 13, 4397 What are the prime factors of 50009053? 17, 41, 157, 457 List the prime factors of 41682577. 523, 79699 What are the prime factors of 1483028419? 29, 43, 1189277 List the prime factors of 47069527. 991, 47497 List the prime factors of 9167076760. 2, 5, 1871, 122489 List the prime factors of 11748222. 2, 3, 41, 15919 List the prime factors of 95040178. 2, 701, 67789 What are the prime factors of 3764198508? 2, 3, 7, 479, 93553 List the prime factors of 9017153. 19, 193, 2459 List the prime factors of 3151300449. 3, 11, 23, 4151911 List the prime factors of 421285211. 17, 24781483 What are the prime factors of 2785174440? 2, 3, 5, 23209787 What are the prime factors of 400545241? 223, 1796167 What are the prime factors of 107564210? 2, 5, 13, 827417 List the prime factors of 522712514. 2, 31, 1907, 4421 List the prime factors of 87212191. 11, 863, 9187 What are the prime factors of 556881729? 3, 307, 604649 What are the prime factors of 832255388? 2, 31, 613, 10949 What are the prime factors of 175813515? 3, 5, 29, 199, 677 What are the prime factors of 2749247906? 2, 53, 25936301 List the prime factors of 162635704. 2, 7, 11, 37717 What are the prime factors of 73729031? 5827, 12653 What are the prime factors of 2807120752? 2, 71, 2471057 List the prime factors of 696067567. 13, 17, 242279 List the prime factors of 122097241. 7, 151, 115513 List the prime factors of 108168367. 108168367 List the prime factors of 1337081189. 173, 823, 9391 List the prime factors of 99449400. 2, 3, 5, 165749 List the prime factors of 5121329980. 2, 5, 13, 19697423 What are the prime factors of 712852303? 712852303 List the prime factors of 4015549865. 5, 803109973 What are the prime factors of 515147007? 3, 171715669 List the prime factors of 42458557. 103, 412219 List the prime factors of 218343418. 2, 109171709 What are the prime factors of 74689612? 2, 97, 192499 What are the prime factors of 261000141? 3, 87000047 What are the prime factors of 6250156157? 7, 197, 331, 13693 List the prime factors of 1032142613. 31, 1663, 20021 List the prime factors of 57465178. 2, 23, 1249243 List the prime factors of 189521942. 2, 94760971 List the prime factors of 37988801. 23, 353, 4679 List the prime factors of 71063607. 3, 23687869 What are the prime factors of 275724880? 2, 5, 61, 56501 List the prime factors of 2104848454. 2, 997, 1055591 List the prime factors of 890241621. 3, 197, 1013, 1487 List the prime factors of 22246318. 2, 293, 37963 List the prime factors of 480419725. 5, 71, 270659 What are the prime factors of 5313820122? 2, 3, 13, 22708633 List the prime factors of 88811110. 2, 5, 8881111 List the prime factors of 50878486. 2, 127, 383, 523 What are the prime factors of 1315078913? 503, 2614471 What are the prime factors of 67180862? 2, 7, 685519 List the prime factors of 228771336. 2, 3, 9532139 What are the prime factors of 109707593? 3691, 29723 List the prime factors of 2641252378. 2, 313, 449, 9397 What are the prime factors of 1065558215? 5, 17, 157, 79847 What are the prime factors of 834036591? 3, 61, 4557577 What are the prime factors of 584967311? 47, 12446113 List the prime factors of 3181641505. 5, 7, 443, 205201 What are the prime factors of 73982329? 23, 53, 137, 443 What are the prime factors of 187589769? 3, 62529923 List the prime factors of 27627466. 2, 13813733 What are the prime factors of 2168624784? 2, 3, 1549, 29167 List the prime factors of 152066076. 2, 3, 229, 55337 List the prime factors of 22193407. 1097, 20231 List the prime factors of 2684856065. 5, 59, 9101207 What are the prime factors of 434646769? 17, 25567457 What are the prime factors of 73066767? 3, 24355589 List the prime factors of 301559469. 3, 19, 41, 129037 List the prime factors of 1053740109. 3, 3121, 112543 List the prime factors of 68724351. 3, 877, 8707 List the prime factors of 623966828. 2, 155991707 List the prime factors of 1544224039. 1544224039 What are the prime factors of 2344554875? 5, 13, 19, 75937 What are the prime factors of 3718655872? 2, 809, 35911 What are the prime factors of 68570840? 2, 5, 13, 163, 809 What are the prime factors of 498958586? 2, 7, 35639899 What are the prime factors of 278499973? 5477, 50849 List the prime factors of 2919631756. 2, 59, 79, 149, 1051 What are the prime factors of 617581743? 3, 2063, 99787 What are the prime factors of 4956748686? 2, 3, 47, 5859041 What are the prime factors of 96714512? 2, 157, 38501 List the prime factors of 494032396. 2, 11, 13, 863693 What are the prime factors of 12539351? 11, 9421 What are the prime factors of 145488457? 97, 1499881 What are the prime factors of 521794225? 5, 20871769 What are the prime factors of 2646890858? 2, 1323445429 List the prime factors of 397078558. 2, 198539279 What are the prime factors of 599261774? 2, 7741, 38707 What are the prime factors of 72950269? 7, 212683 What are the prime factors of 100700842? 2, 11, 4577311 List the prime factors of 273755955. 3, 5, 11, 101, 16427 What are the prime factors of 1299630979? 349, 3723871 What are the prime factors of 1469624629? 11, 23, 941, 6173 List the prime factors of 4291366427. 23, 97, 709, 2713 List the prime factors of 8514525. 3, 5, 107, 1061 List the prime factors of 242628016. 2, 43, 71, 4967 What are the prime factors of 966118854? 2, 3, 61, 2639669 List the prime factors of 666227320. 2, 5, 11, 1514153 List the prime factors of 95692593. 3, 71, 449261 List the prime factors of 5262481209. 3, 1549, 1132447 What are the prime factors of 73547326? 2, 1231, 29873 What are the prime factors of 94329167? 19, 107, 46399 What are the prime factors of 393368128? 2, 43, 142939 What are the prime factors of 154007706? 2, 3, 1009, 25439 List the prime factors of 40247898. 2, 3, 937, 7159 What are the prime factors of 285627327? 3, 137, 694957 What are the prime factors of 125043073? 125043073 List the prime factors of 3848916489. 3, 11, 1811, 64403 What are the prime factors of 358687848? 2, 3, 14945327 What are the prime factors of 1391912866? 2, 151, 4608983 List the prime factors of 1165694786. 2, 23, 25341191 List the prime factors of 17753182. 2, 19, 389, 1201 What are the prime factors of 51632944? 2, 11, 17, 17257 List the prime factors of 2669975038. 2, 19, 1429, 49169 List the prime factors of 509919396. 2, 3, 7, 6070469 List the prime factors of 52241522. 2, 26120761 What are the prime factors of 810797163? 3, 11, 2233601 What are the prime factors of 132100650? 2, 3, 5, 11, 26687 What are the prime factors of 432346658? 2, 216173329 What are the prime factors of 22202478? 2, 3, 411157 List the prime factors of 1042617814. 2, 7, 3089, 24109 What are the prime factors of 530402325? 3, 5, 7072031 List the prime factors of 1892538845. 5, 661, 572629 List the prime factors of 2283868516. 2, 89, 6415361 What are the prime factors of 290239355? 5, 7, 1319, 6287 What are the prime factors of 556229863? 7, 79461409 What are the prime factors of 127325784? 2, 3, 17, 312073 List the prime factors of 417524083. 23, 1109, 16369 What are the prime factors of 647996478? 2, 3, 131, 443, 1861 List the prime factors of 4032863601. 3, 13, 19, 5442461 What are the prime factors of 90057584? 2, 5628599 List the prime factors of 46617230. 2, 5, 11, 17, 97, 257 List the prime factors of 114552941. 114552941 List the prime factors of 33727086. 2, 3, 1873727 List the prime factors of 283016539. 13, 29, 750707 What are the prime factors of 57328344? 2, 3, 47, 5647 List the prime factors of 3731073517. 3731073517 What are the prime factors of 2366943444? 2, 3, 811709 What are the prime factors of 90820420? 2, 5, 4541021 What are the prime factors of 945062397? 3, 11667437 What are the prime factors of 20917266? 2, 3, 61, 67, 853 List the prime factors of 295796664. 2, 3, 1369429 What are the prime factors of 1015378568? 2, 37, 67, 51199 What are the prime factors of 487343358? 2, 3, 281, 32117 What are the prime factors of 174982641? 3, 1049, 55603 What are the prime factors of 2176736315? 5, 13, 2017, 16603 List the prime factors of 217361342. 2, 11, 9880061 What are the prime factors of 4117513364? 2, 2609, 394549 List the prime factors of 4559892547. 7, 651413221 List the prime factors
{ "pile_set_name": "DM Mathematics" }