 = 0, 5*x + 2*v - 470 = -3*v. Calculate the greatest common factor of x and 10.
10
Let u = -2 + 1. Let y be u - -5 - (2 + 0). What is the highest common divisor of y and 18?
2
Let q be 264/10 + 6/10. Calculate the greatest common divisor of 3 and q.
3
Let d(f) = 7*f + 6. Let c be d(0). Suppose 5*v - 79 = 191. What is the highest common divisor of v and c?
6
Let u be (-3)/((-9)/41) - 20/30. What is the greatest common divisor of u and 52?
13
Let v(b) = 14*b - 1. Suppose -4*t + 4*n = -24, -2*t - 5*n = -n. Let z be v(t). Calculate the greatest common divisor of 11 and z.
11
Suppose 0 = 2*c - 5*c + 3. Let a(d) = -2*d + 29. Let w be a(13). What is the highest common factor of w and c?
1
Let v(b) = -b - 9. Let n be v(-7). Let a be 3/(n/2) + 45. Calculate the greatest common factor of a and 6.
6
Suppose -5*x + 95 = 5*n - 0*x, 113 = 5*n - x. Let w(d) = 77*d**3 + 59*d**3 + 61*d**3 + 1. Let o be w(1). Calculate the highest common factor of n and o.
22
Let q = -10 + 12. Suppose -q*i = -10, 2*x - 5*x + i = -40. Calculate the highest common divisor of x and 45.
15
Let t(h) = -h**2 - 3*h - 2. Let b = -9 - -6. Let k be t(b). Let a(n) = -7*n + 1. Let q be a(k). Calculate the highest common divisor of 15 and q.
15
Suppose 5 - 13 = -2*b. Suppose 4 = 2*v - k, v = 6*v + 5*k - 40. What is the highest common divisor of v and b?
4
Let r(w) = -w**3 - 4*w**2 + 8*w + 7. Let j be r(-5). Let g be (19 - j/(-4)) + -3. What is the greatest common divisor of g and 112?
14
Let b be (35 - 3)*((-20)/8 - -3). What is the highest common divisor of 384 and b?
16
Let q be (-3 - 16/(-6)) + (-291)/(-9). Let y be 14*(38/7 - 2). What is the greatest common factor of y and q?
16
Let l be (-6)/(-4)*(-4)/(-3). Suppose -3*q + l*c = 6*c - 192, -3*c = 2*q - 129. Calculate the highest common factor of q and 12.
12
Let w = -16 + 3. Let y = w - -19. Calculate the greatest common divisor of y and 66.
6
Suppose -3*o + 0*o + 9 = 0. Suppose -2*j - 2*j + 99 = 5*w, -j + 65 = o*w. Calculate the highest common factor of w and 115.
23
Let r(i) = 6*i. Let o be r(6). Let n = -16 + o. Calculate the greatest common factor of 30 and n.
10
Let w(a) = a**3 - 10*a**2 + 6. Let f be w(10). Suppose 0 = -0*x - 5*x - 120. Let o = f - x. What is the greatest common factor of 15 and o?
15
Suppose 2*q - 364 = -11*q. What is the highest common divisor of q and 112?
28
Let z(k) = -2*k**2 + 15*k - 1. Let s be z(7). Calculate the highest common factor of 66 and s.
6
Let a = 77 + -54. Let o(t) = -t**2 - 2*t + 2. Let i be o(3). Let p = a + i. Calculate the greatest common factor of 40 and p.
10
Let c be ((5 - 2)*-6)/(18/(-27)). What is the greatest common factor of 216 and c?
27
Suppose -284 = 5*g - 9*g. Suppose -3*z = -5*a + g, a = -0*a + 5*z + 1. Let b = 46 + -22. Calculate the greatest common factor of a and b.
8
Let r be (-2 + (-42)/4)*-2. Let m = -15 + r. Calculate the highest common factor of m and 25.
5
Let r be (0 - 1) + -1 + 38. Suppose -22 - 2 = -2*p. What is the highest common divisor of p and r?
12
Let q = 0 - -4. Calculate the highest common divisor of q and 10.
2
Let d = 0 + 40. Calculate the highest common divisor of 10 and d.
10
Suppose 5*y - 10*y + 140 = 0. Calculate the highest common factor of y and 14.
14
Let v(j) = 9*j. Let d be v(6). Suppose 0 = -p - 4*p + 90. What is the greatest common divisor of d and p?
18
Suppose -5*o + 39 = -126. Suppose -2*v = -6*v + 12. What is the highest common divisor of o and v?
3
Suppose -2*m + 15 + 7 = 0. What is the highest common factor of m and 44?
11
Let a be ((-99)/(-44))/((-1)/(-8)). Calculate the greatest common factor of a and 45.
9
Let l be -2 - -1 - (2 + -3). Let h = 1 + l. Let k(z) = -2*z**2 - 6*z + 22. Let r be k(-5). Calculate the highest common divisor of r and h.
1
Let m = -78 - -193. What is the greatest common divisor of m and 23?
23
Let u(g) = g**2 - 4*g - 4. Let b be u(8). Suppose 0 = -4*t - b + 148. Calculate the greatest common divisor of t and 12.
6
Let c = 0 - -1. Let u be (1/(-2))/(c/(-30)). Let q be (-4)/12*3 + 4. Calculate the highest common divisor of q and u.
3
Let z(v) = 104*v**2. Let d be z(-1). Let k be (d/20)/((-2)/(-20)). Let h be k + -4*(-9)/12. Calculate the greatest common factor of h and 5.
5
Let s be (-2)/9 - (-260)/36. Let w be (-2)/s + 466/14. What is the highest common divisor of w and 11?
11
Let s be ((-14)/35)/((-1)/15). Suppose -5*x + 3*l = -54, -2*x + l - s = -3*x. Calculate the highest common factor of x and 9.
9
Suppose 2 = 2*i - 2. Let o be 16 + i*(2 - 1). Let s be (-6)/5*(-2 + -3). Calculate the highest common divisor of s and o.
6
Let s be 55/3 - (-2)/(-6). Suppose 139 - 29 = -2*y. Let p be (-24)/(-11) - (-10)/y. Calculate the greatest common factor of s and p.
2
Let n(b) = -b**2 + 8. Let s be n(0). Calculate the greatest common factor of 12 and s.
4
Suppose -u = d - 11, 5*d - 3*u = -0*u + 63. Let m be 95/2 + (-2)/(-4). What is the highest common divisor of m and d?
12
Let g be (-2)/((3/11)/(-3)). Let a = -6 - -10. Suppose a*x = -5*q + g, x - 22 = -x + 3*q. What is the greatest common divisor of 1 and x?
1
Let b be 1 + 13/(2 + -1). Let w be (0 - 2)*(-175)/10. What is the greatest common divisor of b and w?
7
Let a(z) = -3 - z**3 + 6*z**2 + 2*z - 6 + 0*z. Suppose 14 + 10 = 4*f. Let q be a(f). Calculate the greatest common divisor of q and 6.
3
Let f(v) = 18*v**2 - 2*v - 5. Let m be f(4). What is the highest common factor of m and 25?
25
Let u(w) = w + 1. Suppose 0*c + 21 = 3*c. Let v be u(c). Suppose 14 = 5*g + 4*s, -g - 4*s = -3 - 3. What is the highest common divisor of v and g?
2
Suppose 5*i + 1 = 36. Let b(x) be the second derivative of x**5/20 - 5*x**4/12 + 7*x**2/2 - 13*x. Let u be b(i). What is the highest common factor of u and 15?
15
Let a(j) = -j + 13. Let k be a(9). What is the greatest common divisor of k and 44?
4
Suppose 3*l - 223 = 5*d, -5*d - 340 = -5*l - 3*d. Calculate the greatest common factor of l and 12.
6
Suppose -5*p + 24 = -66. Let f = 36 + 9. What is the greatest common factor of f and p?
9
Suppose q = -2*o + 203, q - 16 = 2*o - 209. Calculate the highest common divisor of 11 and o.
11
Let c(p) = -2*p + 6. Let s be c(-7). Suppose -k = k - s. What is the highest common factor of k and 15?
5
Let a = 89 - 44. Suppose 2*s + u = 30, 3*s + 4*u = -0*u + a. Calculate the highest common factor of 5 and s.
5
Let o(c) = 2*c**2 + 2*c - 3. Let b be o(-6). Suppose t + 0*t - 13 = -3*j, -4*t + 74 = j. What is the greatest common factor of b and t?
19
Let o be 3/(1 - 2/8). Let s be (3/o)/((-1)/(-24)). What is the greatest common divisor of s and 2?
2
Let p = -16 + 117. Suppose -3*z + 4*f = -6*z + 92, -5*f - p = -3*z. What is the highest common divisor of z and 4?
4
Let i(n) = 3*n**2 + 2*n + 5. Let z be i(-5). Suppose q - 82 = -3*d - 2*d, -5*d = 5*q - z. Calculate the greatest common factor of 85 and d.
17
Suppose -4*q + 5*z + 60 = 0, 0 = z + 3*z. What is the greatest common divisor of q and 5?
5
Let y(i) = -i**3 - 4*i**2 - 4*i - 8. Let z(f) = -f**2 - f + 1. Let j(b) = -y(b) - 4*z(b). Let g be j(-6). Calculate the highest common divisor of g and 70.
14
Suppose -27 = 5*v + 23. Let w be 25 + 5/(v/(-6)). Calculate the highest common divisor of 84 and w.
28
Let d = -26 + 18. Let r = d - -14. What is the greatest common factor of 4 and r?
2
Let v be ((-1012)/(-69))/((-1)/(-12)). Calculate the greatest common divisor of v and 16.
16
Suppose -b = -4*b + 39. Suppose g + 3*y = -1, 0*g - 5*y = 3*g - b. Calculate the highest common factor of 22 and g.
11
Let p(z) = z**2 - 11*z + 4. Let r(t) = -2*t**2 + 22*t - 7. Let b(j) = -9*p(j) - 4*r(j). Let w be b(8). What is the highest common factor of 16 and w?
16
Let b be ((-656)/(-410))/(1/5*1). Let i = 32 - 12. What is the greatest common factor of b and i?
4
Suppose 0 = 4*r - 2*r - 180. Let n(a) = -a**3 + 5*a**2 + 7*a - 6. Let g be n(6). Let t be 36 + g/(-2 + 5). Calculate the highest common divisor of t and r.
18
Let c = -1 + 4. Let t be (15/(-6))/(1/(-2)). Suppose 75 = t*j + p, j - 5*p + 30 = 3*j. Calculate the highest common divisor of j and c.
3
Let q(j) = -j + 1. Let a be q(-3). Let s(d) = -d**3 + 4*d**2. Let w be s(a). Suppose w*u + u - 72 = 0. What is the highest common divisor of 9 and u?
9
Let p(s) = -18*s + 17. Let l be p(-12). Suppose 20 + 140 = 4*m + 5*j, -l = -5*m + 