 = -g**3 + 65*g**2 - 65*g + 99. Let f be j(64). Calculate the highest common divisor of f and k.
7
Let z = 45 - 29. Let c(g) = 6*g - 36. Let r be c(z). Calculate the highest common divisor of r and 75.
15
Let u(c) = -c**2 + 2*c + 31. Let h be u(7). Let n be 81/h*(-48)/9. Calculate the highest common divisor of 270 and n.
54
Suppose -2*i - 4*o + 17 = 1829, 4*o - 4488 = 5*i. Let z be i/(-8)*(-6)/(-9). What is the greatest common factor of 25 and z?
25
Let j be 6/18 + (-299)/(-3). Let n be ((-180)/(-42))/((-1)/(-14)). Suppose -2*v = 4*r + r - 40, 5*r = 2*v - n. Calculate the greatest common factor of v and j.
25
Let n be (-7)/(196/(-8)) + 26/7. Let d = n - -161. Calculate the greatest common factor of d and 66.
33
Suppose 2*p - 4*h - 12 + 0 = 0, 5*p + 4*h + 12 = 0. Suppose -5*g - 20 + 50 = p. Suppose 3*r + g = 78. Calculate the highest common divisor of 12 and r.
12
Let f(q) = q**2 - 21*q + 151. Let g be f(9). What is the highest common divisor of g and 559?
43
Let p = 63 - 33. Let r be (50 - 1) + (1 - 1). Let n = r - p. What is the highest common factor of 57 and n?
19
Let o = -88 - -93. Suppose 0 = -o*y - 15, 0*y = -3*h + 2*y + 51. Calculate the greatest common divisor of 10 and h.
5
Suppose -8 = -3*u + 7. Suppose -2*p + 28 = -60. Let b = -9 + p. Calculate the greatest common factor of u and b.
5
Let g(m) be the second derivative of -10*m**3/3 + m**2/2 + 2*m. Let k be g(-1). Suppose -d = 1 - k. What is the greatest common divisor of d and 30?
10
Let s = 58 + -55. Suppose -3*o - 48 = -5*o. Suppose 0 = -s*i + 72 - o. What is the highest common factor of 40 and i?
8
Suppose -5*t = -5*y - 740, 15*t + y + 760 = 20*t. What is the greatest common factor of t and 374?
17
Suppose 5*z - m = 318, -2*z + m + 129 = -0*z. What is the highest common factor of 42 and z?
21
Let i be 44 - (8/2 - 0). Let n = i + 12. What is the highest common factor of n and 39?
13
Suppose -3240 = -2*d + 2*w + 3670, -4*d + 13780 = 4*w. Calculate the greatest common factor of d and 150.
150
Let y = 1361 + -1336. Calculate the highest common factor of 1000 and y.
25
Suppose 2*w - 9 = -w. Let b be w/2 - (-27)/6. What is the greatest common factor of b and 6?
6
Let t be 1/(-5) - (-71)/5. Let y = -228 + 934. Suppose -3*d - 424 = -3*u - d, -y = -5*u + 3*d. Calculate the greatest common divisor of u and t.
14
Suppose -7 - 2 = -3*z. Suppose 5*r + 3 = 4*y - 0, y - z*r - 6 = 0. Let m be 4 + 3 + 9/y. What is the highest common divisor of m and 8?
4
Suppose -3*z + 0*z = 2*l - 38, z - 121 = -5*l. Calculate the highest common factor of l and 2575.
25
Suppose -56 - 119 = -5*j. Calculate the highest common divisor of 945 and j.
35
Let x(u) = -u**3 + 14*u**2 + 3*u - 15. Let m(j) = j + 6. Let f be m(8). Let k be x(f). What is the highest common factor of k and 9?
9
Suppose 2*o + 1172 = 4*n, -3*n + 3*o = 6*o - 870. Let d = n + -187. What is the greatest common factor of 21 and d?
21
Let i = -244 + 296. Calculate the greatest common factor of i and 65.
13
Let b be 4/22 + (-4)/22. Suppose 2*t + b*t = 22. Let i = t + 1. Calculate the greatest common divisor of i and 24.
12
Let v = 28 - 21. Suppose -59 - 60 = -v*h. Calculate the greatest common factor of h and 119.
17
Let d = 119 + 79. Let g be (152/19 + -29)*12/(-14). What is the greatest common factor of d and g?
18
Suppose -3*r + 147 - 108 = 0. What is the highest common factor of r and 273?
13
Suppose -4 = 11*g - 10*g. Let k(j) = j - 18. Let h(o) = -o + 18. Let p(x) = g*k(x) - 3*h(x). Let u be p(9). What is the highest common factor of u and 63?
9
Suppose 0*v - v = 5*a + 10, -4*a = 5*v + 8. Suppose -3*f + 117 - 87 = v. Let i(g) = g**2 - 5*g. Let d be i(-5). What is the highest common divisor of d and f?
10
Let x(w) = -171*w**2 + 2*w + 1. Let t be x(-1). Suppose -2*o = 4*f + 190, 5*f + 15 = 5*o + 460. Let h = o - t. Calculate the highest common divisor of h and 9.
9
Suppose 3*f - 1736 = -4*f. What is the highest common factor of f and 31?
31
Let l(s) = -326*s - 266. Let w be l(-5). What is the greatest common factor of w and 44?
44
Suppose -4*k = -8*k + 12. Let c(l) = 4*l**2 - 2*l + 3. Let p be c(2). Suppose k*b + 3 = p. Calculate the greatest common factor of b and 4.
4
Suppose 4*n - 57 = 63. Suppose -315*r = -309*r - 1980. What is the highest common factor of n and r?
30
Let r = -1471 - -1479. What is the highest common factor of 100 and r?
4
Suppose 6*w = -2*n + w + 188, 5*w + 228 = 2*n. Suppose 5*r - 32 = -2*z, -4*z - 20 = -4*r + 28. Calculate the greatest common divisor of r and n.
8
Let x(n) = n**2 + 2*n - 2. Let o(w) = 2*w - 6. Let s be o(4). Let u be x(s). Calculate the greatest common factor of u and 12.
6
Let v = 1800 - 634. What is the greatest common factor of 11 and v?
11
Let l be ((-2)/8)/((-2)/(-8)) + 4. Suppose -4*b + 8 = -0*b. Suppose 0*v + 246 = 3*k - l*v, 5*v = b*k - 158. What is the greatest common divisor of 21 and k?
21
Suppose 0 = -5*x - 8*p + 4*p + 43, 0 = 2*x + p - 16. Suppose -w = w + 14. Let r be 2/w - (-1017)/x. What is the greatest common factor of r and 29?
29
Let l = -51 + 55. Suppose -464 = -2*f - a, l*f = 3*a + 87 + 841. Let h be 0 + (0 - -1)*29. Calculate the greatest common divisor of h and f.
29
Let b be (9/3)/(3/4). Let l(f) = 4*f + 19 - 6 - 3*f - 2*f. Let u be l(b). Calculate the greatest common factor of 9 and u.
9
Let f be ((-2)/2)/((-4)/(-204)). Let m = -25 - f. Let v be (-4)/(-26) + 74/m. Calculate the highest common divisor of v and 27.
3
Let w(a) = -2*a - 8*a - 4*a. Let f be w(-1). Let i = f + -12. What is the highest common factor of 6 and i?
2
Suppose -4*q + o + 91 = 0, 18 + 7 = 5*o. Calculate the greatest common factor of 1128 and q.
24
Suppose 240 = 22*a + 18*a. Suppose -13 = -5*k + 7. Calculate the greatest common factor of k and a.
2
Let i be 120/32 - 2/(-8). Suppose -l = l. Suppose -i*u + 5*x + 217 = l, 0 = -4*u - 6*x + x + 167. What is the highest common divisor of u and 32?
16
Let b be (1 + 13/2)*(-256)/(-5). What is the greatest common divisor of 672 and b?
96
Let f(w) be the second derivative of -w**3/2 - 13*w**2/2 + 10*w. Let r be f(-6). Calculate the highest common factor of 40 and r.
5
Let o be (-4)/(-2)*1 - (9 + -10). What is the highest common factor of o and 8?
1
Let x be (-15)/(5*1/(-155)). Calculate the greatest common factor of x and 15.
15
Let d(w) = w**2 + 7*w + 7. Let j be d(-5). Let t be (21/j - -4) + 16. What is the greatest common factor of 104 and t?
13
Let z(b) = b**2 - 5*b. Let n be z(-9). Let t(x) = x - 5. Let k be t(14). What is the highest common divisor of k and n?
9
Suppose 3*x + 666 = -4*h + 1746, 1088 = 4*h + x. Calculate the greatest common factor of 42 and h.
21
Let y(i) = -14*i + 8. Let d(o) = 14*o - 9. Let k(u) = -2*d(u) - 3*y(u). Let l be k(3). What is the highest common factor of 9 and l?
9
Let a(r) = -r**2 + 14*r - 6. Let d be a(13). Let n(m) = 4*m - 18. Let z be n(d). What is the greatest common factor of 60 and z?
10
Let a be 9/(-36) + (-9)/(-4). Let s be 32/a + (-1)/1. Let q = -3 + s. What is the highest common divisor of 60 and q?
12
Let u be (1600/15)/4*18. Suppose 4*b + 0*b = u. Calculate the greatest common factor of b and 30.
30
Suppose -2*n - 5*f = -556, 3*n - n = -2*f + 568. What is the highest common factor of 198 and n?
18
Let o be (766/(-4))/(-1 + 5/4). Let z = o + 1140. Calculate the highest common divisor of 34 and z.
34
Let r = 458 + -162. What is the highest common divisor of 4 and r?
4
Suppose -22 = -4*h + 4*y + 6, 2*h + 3*y + 6 = 0. Suppose -h*g - 5*o + 0*o = 8, -8 = g + 3*o. What is the highest common divisor of g and 28?
4
Let n(g) = 21*g**3 + 3*g**2 + 5*g - 9. Let h be n(3). Calculate the greatest common factor of 24 and h.
24
Let f be 14 - (18/4 + (-48)/(-32)). Calculate the highest common divisor of 736 and f.
8
Let i(n) = 12*n - 121. Let y be i(13). Calculate the highest common divisor of y and 315.
35
Let x be 32 + -1 + (-4)/2. Suppose -3*r + 15 = 3*y - 15, y + x = 2*r. What is the highest common factor of r and 104?
13
Let l be (-1 + 2)*-1 + 17. Let v(n) = 41*n + 399. Let g be v(-7). Calculate the greatest common factor of g and l.
16
Let y be ((-3)/5)/((-8)/40). Suppose -5*b + 5*f = -30, 0 = y*b + 2*f + 3*f - 42. Let o be 4/((-12)/b) - -9. Calculate the highest common divisor of o and 48.
6
Let a be 42/5*(-5 + (-510)/(-18)). Suppos