1. Let d = t + -22. Let u(y) = y**2 + y + 8. Let p be u(9). What is the highest common factor of p and d?
14
Let y(m) = 5*m - 79. Let a be y(18). Let c be (-146)/(-3) + (-1)/(-3). Let s = c - 16. Calculate the greatest common factor of s and a.
11
Let b = -24 + 13. Let v = 4 + b. Let r = 21 + v. Calculate the greatest common divisor of r and 14.
14
Suppose -4*b + 4*a = -2*b - 962, 1924 = 4*b - 4*a. Calculate the greatest common factor of b and 13.
13
Let v = -2458 + 2515. Suppose -q + 2*q = 19. What is the greatest common divisor of v and q?
19
Suppose -t + 118 = 5*k, 0*t - 32 = -k + 4*t. Let o be 238/8 - 13/(-52). Suppose 3*l - o = k. What is the highest common divisor of 162 and l?
18
Let m(r) = 17*r**2 + 2. Let g be m(-1). Let x = g - 2. Calculate the highest common factor of 153 and x.
17
Let a(j) = j**3 - 14*j**2 + 13*j - 13. Let l be a(13). Let x = 25 + l. Let h(t) = 3*t + 1. Let n be h(1). What is the greatest common divisor of x and n?
4
Let c(k) = -15*k + 15. Let d be c(-6). Calculate the highest common factor of 84 and d.
21
Suppose -104*p - 20706 = -111*p. Calculate the highest common factor of 51 and p.
51
Suppose -2*q = o - 27, 5*o + 0*q + 2*q = 127. Let x(v) = 62*v. Let z be x(2). Suppose 0 = 4*l + z - 1024. Calculate the highest common divisor of l and o.
25
Let h = -128 - -548. Calculate the highest common divisor of 20 and h.
20
Let b be (-64)/40*(155/(-10) - -3). Calculate the greatest common factor of b and 92.
4
Let h = 20 - 14. Suppose 0 = -3*o + 9, 3*t + 2*o - 6 = 2*t. Suppose 18 = -t*a + a. What is the greatest common factor of h and a?
6
Suppose 0 = -5*k + 3*s + 15, 3*k + 5*s = 10 - 1. Let p(v) = 1 - k - v + 0 + 6*v**2 + 1. Let n be p(-4). Calculate the highest common divisor of n and 11.
11
Let h be (-13)/2*(6 + -8). What is the highest common factor of 39 and h?
13
Suppose 1177 = 27*d + 178. What is the highest common divisor of 1 and d?
1
Let q be (-66)/4*(-4)/6. Let j = q + -6. Let k be 9 - -2*35/(-10). Calculate the greatest common factor of j and k.
1
Suppose 0 = -8*o + 6 + 2. Let z be 2616/14 + o/7. What is the highest common divisor of z and 17?
17
Suppose 0 = -6*t + 3*t + 6, 5*t - 142 = -3*s. Calculate the greatest common factor of s and 55.
11
Suppose 0 = -2*j + 1 + 1. Let x be 122 + ((-6)/2 + j)/(-2). Calculate the highest common factor of x and 41.
41
Let d = 5 - 5. Suppose d = b - 6 - 9. Let m be 78/4 + b/(-10). What is the highest common divisor of m and 27?
9
Let o(v) = 4*v + 90. Let z be o(-12). Calculate the greatest common divisor of z and 18.
6
Suppose -85 = -4*c - 9. Let i(q) = 13*q**2 - 18*q + 16. Let w be i(4). What is the greatest common factor of c and w?
19
Suppose -2*u - 1 + 11 = 0, 16 = t + 2*u. Let g be (t/(-2) + 80)*1. Suppose 19 + 9 = 4*k. Calculate the greatest common factor of g and k.
7
Let g(r) = 11*r + 4. Let w be g(3). Let q = w - -1. Let o = -24 + q. Calculate the highest common factor of o and 35.
7
Let r = 249 - -41. Suppose -4*z + r - 74 = 0. Calculate the highest common factor of z and 135.
27
Suppose 3*v - 69 = -0*v - 3*z, 0 = -5*v + 2*z + 136. Let n be v - (4 + 2/(-1)). What is the greatest common factor of 3 and n?
3
Let i be (-23)/(690/(-2540)) - (-4)/(-6). Calculate the highest common divisor of i and 3612.
84
Let y be (-19)/(-7) + 32/112. Let o(m) = m**2 - m + 21. Let j be o(0). What is the greatest common factor of y and j?
3
Let r be 358/6 - (-1)/3. Let m be 32/20*(-5)/(-2). Suppose 4*u - 3*b - 61 = -13, -2*u + 46 = m*b. Calculate the greatest common factor of r and u.
15
Suppose 6*a - 5*j + 506 = 7*a, 2*j = -a + 500. What is the highest common factor of 16 and a?
16
Suppose 5*c + 88 = c. Let n = -1 + c. Let k = -14 - n. Calculate the greatest common divisor of k and 9.
9
Let t(s) = 14*s - 651. Let b be t(52). What is the highest common factor of b and 11?
11
Let y = -182 + 190. Calculate the highest common factor of y and 2.
2
Let o(h) = -4*h**3 + 2*h**2 - 2*h + 54. Let d be o(0). What is the greatest common divisor of d and 999?
27
Suppose 3*k = -3*a + 2297 + 187, -k = 5*a - 844. Let y = 1157 - k. Calculate the greatest common factor of 37 and y.
37
Suppose -h = -3*b - 918, 5*h - 12*b + 15*b - 4662 = 0. Calculate the greatest common factor of h and 6.
6
Suppose d + 16 - 3 = 0. Let t = d + 19. Suppose 2*g = g + t. What is the highest common divisor of 42 and g?
6
Let c(z) = -z + 77. Let w be c(0). Suppose 0*n = -n + 5*s + 27, -16 = -4*n - 3*s. What is the greatest common factor of n and w?
7
Let f(s) = 6*s + 108. Let i be f(-16). What is the highest common factor of 564 and i?
12
Let m be 10/4*10 + (-12 - -15). Calculate the greatest common factor of 1106 and m.
14
Let k be (-20)/3*27/(-6). Let o = 141 + -139. Suppose -o*w + 17 = -7. Calculate the highest common factor of w and k.
6
Suppose 69*c - 72*c + 132 = 0. Suppose b - c = -3*b. Calculate the greatest common factor of b and 77.
11
Let x = 56 - 40. Suppose 14*w = 15*w - 4. Calculate the greatest common divisor of w and x.
4
Let n be (-8)/2*(-783)/18. Suppose 0 = 5*v - 148 - 142. What is the highest common factor of n and v?
58
Let p(b) = -b**2 + 3. Let r be p(-3). Let d(l) = -2*l + 20. Let n be d(r). Calculate the greatest common divisor of n and 8.
8
Let v(n) = 38*n**3 + 5*n**2 - 5*n + 6. Let d be v(2). What is the greatest common divisor of 60 and d?
20
Suppose -4*b = 36 - 44. Suppose -412 = -4*x - 4*q, -7*x + b*x + 2*q + 529 = 0. Calculate the highest common divisor of x and 21.
21
Let x = 2 - 2. Suppose x = 3*z - 6*z + 33. Let n be 3/4 - 736/128 - -31*3. Calculate the highest common divisor of n and z.
11
Let h = -21 + 29. Suppose 28*z = 27*z + 40. Calculate the highest common factor of h and z.
8
Let g(s) = 16*s**2 + 45*s**2 - 16*s + 11*s + 6*s. Let w be (-6)/15 - 3/5. Let b be g(w). Calculate the greatest common factor of 20 and b.
20
Let h be (8 - -8)/((-4)/(-2)). Suppose h*k = 13*k - 770. Calculate the greatest common factor of k and 14.
14
Let w be ((-4)/6 + 2)/((-24)/(-864)). Calculate the highest common factor of 6 and w.
6
Suppose -495 = 3*u - 8*u + 5*v, 0 = -3*u - 4*v + 262. Calculate the greatest common divisor of 658 and u.
94
Let b(o) = -135*o**3 + 13*o**2 + 12*o. Let q be b(-1). Calculate the highest common factor of q and 20.
4
Let u = 14 - 8. Let x(o) = 2*o + 3*o - 6*o - o + 2*o**2 - 5*o + 2. Let y be x(u). What is the highest common factor of y and 48?
16
Suppose -922 = -5*v + 3718. Suppose -p + 9*z - 5*z = -190, -2*z + v = 5*p. Let l = -94 + p. What is the highest common factor of l and 23?
23
Let q = 227 - 207. Calculate the greatest common divisor of 5 and q.
5
Let c be (-4)/5 - (177/(-15) - 4). Calculate the greatest common factor of c and 55.
5
Let u = 6 + 19. Let s be (-7 - -2)*(-20)/u. Suppose -s*z + j = -181, -2*j - 89 = -2*z - j. What is the greatest common factor of z and 23?
23
Let y = 123 - 100. Suppose -y*u = -24*u + 30. Calculate the highest common divisor of u and 4.
2
Let j(q) = -q**3 - 5*q**2 + 2*q - 11. Let z be j(-6). Let o = 8 - 5. Suppose 0 = o*l - 223 - 50. Calculate the greatest common divisor of z and l.
13
Suppose j + 2*m = 7*m - 20, 26 = -4*j + 2*m. Let u = j - -9. Suppose -9 = -u*c + 75. Calculate the greatest common factor of c and 7.
7
Suppose -5*i = -69 - 41. Suppose -1099 = 11*z - 3035. Calculate the greatest common divisor of z and i.
22
Let p(w) = 18*w + 10. Let z be p(3). Let f(s) = -2*s**3 - 21*s**2 + 9*s + 10. Let k be f(-11). Calculate the greatest common factor of z and k.
32
Let u = 7 - -56. Let t(q) = q**3 - 29*q**2 - 28*q - 51. Let c be t(30). Calculate the highest common factor of u and c.
9
Let s(h) = h**2 - 8. Let f = -31 - -35. Let t be s(f). What is the highest common factor of 16 and t?
8
Let m = -89 + 144. Suppose -2*a = -29 - 1. Suppose -5*o - a = -5*v, 3*v - v - 5*o = 0. What is the highest common factor of v and m?
5
Let c(x) = 8*x**2 + 6*x + 3. Let g(d) = -2*d + 18. Let u be g(10). Let r be c(u). Let m = r + -6. What is the greatest common factor of m and 51?
17
Let s = -223 + 238. Calculate the greatest common divisor of 120 and s.
15
Let l(n) = -22*n + 402. Let r be l(15). What is the highest common divisor of r and 24?
24
Suppose 165*d - 166*d = -24. What is the highest common divisor of d and 6?
6
Suppose w = 3*w - 12. Let b = -4 + w. W