
Let k(g) = g**3 - 12*g**2 + 23*g - 19. Let d be k(9). Let q = d + 60. Calculate the highest common factor of q and 85.
5
Let x be 6*((-28)/(-6) + -4). Suppose 77 = 3*o + x*q, -q + 0*q = 3*o - 62. Calculate the greatest common divisor of 76 and o.
19
Suppose 4*y - 5*z + 292 = -278, -433 = 3*y - z. Let v = y - -160. Calculate the greatest common divisor of v and 240.
15
Let c(k) = k + 12. Let a be c(-6). Let f = a + 24. Let z = 20 + -5. Calculate the highest common divisor of f and z.
15
Let z(h) = 5*h**3 - 4*h**2 + 7*h + 5. Let n be z(2). Calculate the greatest common factor of 215 and n.
43
Let b(q) = 33*q**3 + 2*q**2 - 7*q + 5. Let s be b(1). What is the greatest common divisor of 55 and s?
11
Let a be 3463/7 + (208/(-56))/(-13). Calculate the highest common factor of a and 55.
55
Let r(h) = -h**3 - 8*h**2 - 7*h + 1. Let q be r(-7). Suppose -5*n - q = 4, 2*o + n - 191 = 0. Calculate the greatest common factor of 64 and o.
32
Let l be 4/(-6)*(-78)/4. Let p(o) = 17*o + 65. Let m be p(0). Calculate the greatest common divisor of m and l.
13
Let r = -9 - -6. Let m be 0 + 7 + 3 + r. Suppose -350 = -m*i + 2*i. Calculate the greatest common factor of 10 and i.
10
Suppose 4*l - 206 = -62. Let m = l + -24. Calculate the highest common divisor of 84 and m.
12
Let h = -66 - -126. Suppose -36*v = -40*v + h. What is the highest common divisor of v and 3?
3
Let q(c) = 2*c - 3. Let m(u) = -45*u + 65. Let f(t) = -6*m(t) - 130*q(t). Let h be f(1). Let b = 109 + -9. Calculate the greatest common divisor of h and b.
10
Let b(m) = m**3 - 43*m**2 - 139*m + 56. Let w be b(46). Let c = -8 - -16. What is the greatest common divisor of c and w?
2
Suppose 0 = -g + 8. Suppose 3*c = 4*c - g. Calculate the greatest common factor of c and 64.
8
Let z = -66 + 126. Suppose d = z - 0. Let i be 35/3 + (-40)/d. What is the highest common factor of i and 99?
11
Suppose 4*i = -4*a + 680, -5*i - a - 2*a + 840 = 0. Let p = -11 + 15. Suppose -p*v + v = -i. Calculate the greatest common divisor of v and 22.
11
Suppose -401 = 8*m - 1361. Calculate the highest common divisor of m and 330.
30
Let v(z) = -z + 12. Let m be v(9). Let q(k) = k**2 - 3*k - 5*k**2 + 3*k**3 - 4 + 9*k - 2*k**m. Let o be q(4). Calculate the highest common divisor of 5 and o.
5
Suppose 2*l - 197 + 40 = -5*q, q + 5 = 0. What is the greatest common divisor of l and 91?
91
Suppose 0 = 3*l + g - 176, -3*g + 128 = 2*l - 5*g. Calculate the highest common divisor of 180 and l.
60
Let z = 7 + 7. Let q be 3/((-9)/z)*-3. Let c(f) = -98*f + 1428. Let w be c(13). Calculate the highest common divisor of w and q.
14
Let f(h) = -13*h + 159. Let w be f(7). Calculate the greatest common divisor of w and 884.
68
Suppose 4*v + 14 = 34. Suppose 5*x - v*g - 1365 - 150 = 0, 15 = 3*g. Suppose 0 = -5*q - x + 1043. Calculate the greatest common factor of q and 21.
21
Let m be (-66)/(-15)*(-5)/(-2). Suppose 0 = -4*j + 161 + 103. What is the highest common factor of j and m?
11
Suppose -5 = -13*g + 34. What is the highest common factor of g and 111?
3
Suppose -n + 23 = -3*n + 5*q, 4*q = 2*n + 20. Let d be n - (-53 - (4 + -2)). Calculate the highest common factor of 34 and d.
17
Let i = 306 - -1. Let k = i - 199. Let g be (-72)/(-2)*2/2. Calculate the highest common divisor of k and g.
36
Let l = -338 + 350. Calculate the highest common divisor of 204 and l.
12
Let l = 109 + 118. Let f = l - 110. What is the greatest common divisor of f and 13?
13
Let j be 0/(-2)*2/(-4). Suppose z - 5*o = 5, 3*z - 2*o = -j*o + 80. Let t = 202 - 187. Calculate the highest common factor of t and z.
15
Suppose 5*u = 6*u + 2. Let q be ((-7)/21)/(u/54). Let h = q - 1. What is the highest common factor of 32 and h?
8
Let n = -212 + 92. Let z be n*(24/(-36) + (-2)/(-12)). Calculate the greatest common factor of z and 12.
12
Let u be ((-8)/(-1) - 1) + -1. Suppose g = -4*y - 3*g - 44, -4*g + 46 = -2*y. Let z be -2*(15/(-4) + y/(-20)). Calculate the highest common divisor of z and u.
6
Let w(b) = -4*b**2 - 4*b + 1. Suppose -6*d - 15 = 9. Let t be w(d). Let g = -19 - t. Calculate the greatest common divisor of g and 7.
7
Suppose 104 = -186*v + 190*v. Calculate the highest common factor of 117 and v.
13
Suppose 71*u - 75*u = 5*b - 3478, 4*u + b = 3470. Calculate the highest common divisor of 51 and u.
51
Suppose 0 = -x + 2*x + 10. Let r be ((-33)/55)/((-2)/x). Let m be 16 + 3/(r + 2). Calculate the greatest common factor of m and 52.
13
Let n = -277 - -118. Suppose i = -73 - 1. Let x = i - n. What is the greatest common divisor of 34 and x?
17
Let g = -2 - -5. Let q(m) = m**3 + 9*m**2 + 6*m. Let c be q(-8). Suppose -c*u = -18*u + 6. Calculate the highest common divisor of g and u.
3
Let w = -1668 + 1678. Let b be 1 + 68 - (-2 - -1). Calculate the greatest common factor of b and w.
10
Let k = -105 + -714. Let h be (8/(-12))/(3*2/k). Calculate the greatest common divisor of h and 13.
13
Let f = -33 - -57. Let i(p) = -p. Let y be i(-3). Suppose y*k - 60 = -s - 0*s, 4*k = -3*s + 200. Calculate the greatest common factor of s and f.
24
Let x be (-168)/60 - (-2)/(-10). Let t be x + 6 + (223 - 5). What is the greatest common factor of 17 and t?
17
Let j be -1 - -3 - (-3)/3. Let u(a) = 6*a - 7. Let c be u(j). Suppose 0 = -g + s, -2*g - s + 4 = -c. What is the greatest common divisor of 35 and g?
5
Let o(x) = -34 + 16*x + 17*x - 52*x + 13*x. Let g be o(-7). What is the greatest common factor of 40 and g?
8
Suppose -3*j = -7*q + 4*q - 48, 4*q + 74 = -j. Let i = 18 + q. Suppose -b + 5*b - 88 = i. What is the greatest common factor of 88 and b?
22
Let c(g) = g**2 + 15*g - 13. Let k be c(-16). Suppose k*z - 60 = 3*x, -14 = -z + x + 3*x. What is the highest common divisor of 55 and z?
11
Suppose -5*s + 2*s - 19 = -4*u, -2*s = -3*u + 14. Suppose 4*x = -2*a + 350, u*a + 330 = 4*x + 2*a. Calculate the highest common divisor of 51 and x.
17
Let z = -408 - -414. Calculate the greatest common divisor of 42 and z.
6
Suppose 0 = s - 126 - 140. Suppose s = 3*y - 4. Suppose 0 = -5*n + 242 - 62. What is the highest common divisor of y and n?
18
Suppose 5*h + 20*m - 24*m - 134 = 0, 0 = 4*h - 4*m - 104. Calculate the highest common divisor of 435 and h.
15
Suppose -256*z + 1876 = -228*z. What is the greatest common factor of 67 and z?
67
Let q be 10*-1*3/6. Let f(d) = -d - 2. Let a be f(q). Suppose 2*k - a = 63. Calculate the highest common divisor of 3 and k.
3
Let b be 1 - 0 - -5*2. Suppose -i - 4*y = 229 - 397, -i - y + 174 = 0. What is the greatest common factor of i and b?
11
Suppose 4*v - 5*v = 2*p - 233, 2*v - 491 = p. Calculate the highest common divisor of 18 and v.
9
Let b be -3*3/((-9)/11). Suppose -2 = -i, 4*m + i = -3*i + 8. Let t(h) = h**3 - h**2 + 44. Let z be t(m). What is the highest common factor of z and b?
11
Let w = -59 + 54. Let t(s) = s**2 + 2*s - 1. Let o be t(w). Let g(u) = 4*u**2 + u + 2. Let m be g(4). Calculate the greatest common factor of m and o.
14
Let i = 108 - 48. Let g(l) be the third derivative of -l**4/4 + 9*l**3/2 - 24*l**2. Let u be g(2). Calculate the greatest common factor of i and u.
15
Let m = 85 - 58. Let s(b) = 53*b - 2. Let q be s(5). Suppose q = k - 5*l, -3*k - l - 976 = -7*k. Calculate the greatest common factor of m and k.
27
Let u be 38 - -51 - (-1 - 0)*2. What is the greatest common divisor of u and 52?
13
Suppose 5*g + 2*o - 82 = 0, 101 - 71 = g - 3*o. Suppose -q - 405 = -6*q. Calculate the highest common divisor of q and g.
9
Let a = -19 + 18. Let r = a + 4. What is the highest common factor of 9 and r?
3
Let b be (-66)/(-4)*(-228)/(-18). Suppose 4*n + 15 = -n, -4*g - 5*n = -b. Suppose -5*k + g = -k. What is the highest common factor of 126 and k?
14
Let u be -1 + 12/4 + -1 + 7. Let w be 958/8 - (-2)/8. Let d be ((-2)/5)/((-3)/w). Calculate the greatest common factor of d and u.
8
Let s = -79 + 103. Let v = -156 - -162. Calculate the highest common factor of s and v.
6
Let t = 391 + -340. Calculate the highest common factor of t and 15.
3
Suppose q = 6*q - f - 4511, 3*q - 2697 = 3*f. What is the highest common factor of 21 and q?
21
Suppose -3*k + 18 = 42*n - 41*n, -5*n = 4*k - 79. Calculate the greatest common divisor of 690 and n.
15
Suppose c = -5*n - 59, 2*n + n = c + 19. Let o = c + 56. What is the highest common factor of 33 and o?