4. Suppose -15 = -0*f - 3*f, 0 = -3*r + 4*f + b. What is the highest common divisor of r and 12?
12
Suppose 0 = -3*t + 6*t + 6. Let c(u) = -2*u + 2. Let f be c(t). Let b be (-567)/35*(-70)/21. What is the greatest common divisor of f and b?
6
Suppose -1 = -7*l + 6. Let v(h) = -l - 14*h + 10*h + 2. Let z be v(-2). Calculate the greatest common divisor of 3 and z.
3
Let f(h) = -83*h + 20. Let m be f(-4). What is the greatest common divisor of m and 96?
32
Suppose -8*b + 9*b = 2*f - 26, 0 = 4*f - 3*b - 56. Calculate the highest common factor of f and 2376.
11
Let o(i) = 2*i**2 - 5*i - 65. Let d be o(-7). What is the highest common divisor of d and 34?
34
Suppose -40 = -i - 3*i. Let l(p) = -p**3 - 3*p**2 + 3*p + 2. Let n be l(-4). Let w = i - n. Calculate the highest common divisor of 4 and w.
4
Let u = -481 - -496. Suppose -g = -5*g + 300. Calculate the highest common divisor of u and g.
15
Let q be 0 - -25 - (-12 + 17). What is the greatest common divisor of 200 and q?
20
Let f(w) = 3*w**2 + 47*w + 17. Let r be f(8). Calculate the highest common divisor of r and 78.
39
Let g = 54 + 14. Calculate the greatest common factor of g and 204.
68
Let p be 3*(5 - (-2)/(-1)). Let t be 3/(1/5*(-90)/(-54)). Calculate the highest common divisor of p and t.
9
Let k be (-5)/(-2)*(3 - 1544/(-40)). What is the highest common divisor of 65 and k?
13
Let n be (-1239)/(-9) + 2/6. What is the greatest common divisor of 345 and n?
69
Let j(d) be the second derivative of 3*d**4/2 - d**3/2 - d**2/2 - 6*d. Let a be (4*(-3)/6)/1. Let x be j(a). What is the highest common divisor of x and 7?
7
Let s(c) = c**3 + 43*c**2 - 43*c + 59. Let x be s(-44). What is the greatest common divisor of x and 615?
15
Let w = -70 - -119. Suppose 47*i = w*i - 184. What is the highest common divisor of i and 23?
23
Suppose -5*z + 883 + 317 = 0. Let w(x) = 63*x - 600. Let i be w(10). Calculate the greatest common divisor of i and z.
30
Let u be 18/6 + (-6)/(-3). Let k be 7/u*(12 + -7). Suppose k = -2*x + 65. What is the greatest common factor of x and 29?
29
Let a(t) = t**3 - 4*t**2 + 4*t - 14. Let r be a(4). Suppose -74 = -2*o - r. Calculate the greatest common divisor of o and 4.
4
Let d = 43 - 37. Suppose l = -2*r - d + 41, 4*r - 2*l = 82. Calculate the greatest common divisor of 133 and r.
19
Let k(w) = w**2 + 24*w + 4. Let b be k(-24). What is the highest common divisor of 5 and b?
1
Let f(g) = -5*g**2 + 4*g**2 + 1 - 11*g - 2. Let p(r) = -2*r**2 + 4*r - 5. Let z be p(2). Let k be f(z). Calculate the greatest common divisor of 58 and k.
29
Suppose 145 = 5*h + 4*t, -2*h - 5*t - 100 = -7*h. What is the highest common divisor of 1 and h?
1
Let b = 2 + -2. Suppose u = -b*u + 209. Let w = -134 + u. What is the highest common factor of w and 30?
15
Let m be ((-366)/(-15))/((-6)/(-15)). Suppose -4*v + 372 = 4*a, -3*v - 2*a - m = -345. What is the greatest common factor of v and 14?
14
Suppose 0 = -8*j + 14*j + 42. Let x be (35 - 2) + j + 6. Calculate the greatest common factor of x and 352.
32
Suppose 0 = -4*p - 2*c + 24 + 30, 24 = 3*p - 4*c. What is the highest common divisor of 876 and p?
12
Let z(y) = y - 5. Let n be z(7). Suppose 3*t - 920 = -n*t. Let m = 309 - t. What is the highest common divisor of 25 and m?
25
Suppose -44*l + 1316 = -37*l. What is the greatest common divisor of 47 and l?
47
Suppose 0 = u - 2*u - j + 11, 0 = -4*u + 4*j + 12. Suppose -8*f = -u*f - 28. What is the greatest common divisor of f and 308?
28
Let d = 4 - -1. Let t(u) be the first derivative of u**4/4 - u**3 - 2*u**2 - 8*u - 9. Let c be t(d). What is the highest common factor of 11 and c?
11
Suppose 0 = -3*k + 5*k - 34. Let o be (19 + -27)/(2/(-34)). Calculate the highest common divisor of k and o.
17
Suppose 106*l - 104*l - 170 = 0. Calculate the highest common divisor of l and 51.
17
Let g be 2/5 + (-56)/(-10). Suppose f - 26 = -g. What is the highest common divisor of 40 and f?
20
Let b be (198/(-12))/(12/(-8)). Suppose -4*h = y - 5*h - 46, 2*h - 172 = -4*y. What is the greatest common divisor of y and b?
11
Let b = 495 - 481. Calculate the greatest common factor of 938 and b.
14
Let j be (-2)/6 - 10/(-3). Suppose -j*p + 6*p = 12. Suppose p*g = 0, -14 = -2*v - 0*v - 3*g. What is the highest common factor of v and 28?
7
Let g = 510 - 312. Let d(n) = -n**2 + 26*n - 30. Let t be d(24). Let o(l) = 4*l - 50. Let y be o(t). What is the highest common factor of y and g?
22
Let l(w) = -w**2 + 16*w + 2. Let j be l(16). Suppose 0*f = -j*f + 270. What is the highest common factor of f and 54?
27
Suppose 11*z - 8*z - 201 = 0. Suppose -z = -m + 45. What is the greatest common factor of m and 8?
8
Let r = 23 - 5. Let p be ((-2)/(-4))/(3/216). Let i be (r/4)/(1/p). What is the greatest common factor of i and 18?
18
Let t = -2 + 12. Let r = 192 + -162. What is the highest common factor of t and r?
10
Let s = -37 - -59. Suppose -2*h - 2*q - 46 = 2*q, 5*q + 107 = -4*h. Let f be 1/((-36)/h + -1). What is the greatest common divisor of s and f?
11
Suppose -h = -0 - 5. Suppose u + 27 = -5*v, 2*u - 5*v = h*u + 61. Let s = -12 - u. What is the greatest common factor of 55 and s?
5
Let j(w) = 2*w + 1. Let h be j(2). Let i(u) = u. Let y be i(h). Suppose -d = -y*c + 94, c - 2*d - 23 - 3 = 0. What is the greatest common divisor of 162 and c?
18
Let l(n) = -5*n + 488. Let m be l(15). Calculate the highest common factor of m and 295.
59
Let n(x) = x**3 + 15*x**2 - 22*x - 6. Let c be n(-16). Calculate the greatest common factor of 40 and c.
10
Let a be ((-70)/(-15))/(-4 - (-85)/21). Let n(r) = -r**2 - 10*r - 2. Let s be n(-8). What is the greatest common divisor of s and a?
14
Let z = 12 + 49. Let d = -37 + z. Calculate the greatest common factor of d and 6.
6
Let g be 1*6 + -6 + 5. Let t be (3 - (-11)/(-2))*(-2 + 0). Suppose 5*v + t*s = 100, 0 = -2*v + 6*v - 4*s - 120. What is the highest common divisor of g and v?
5
Suppose 13*j = r + 10*j - 24, r + j - 36 = 0. What is the highest common factor of r and 3?
3
Let g = -74 + 104. Let t be 4/(-5)*(1 + 3016/(-16)). What is the greatest common divisor of g and t?
30
Let z be 10/(-65) - (-903)/39. Let w be z - (5 + (1 - 6)). What is the highest common factor of 207 and w?
23
Let x = 99 + -68. What is the greatest common factor of 341 and x?
31
Suppose 248 = 193*j - 189*j. Calculate the greatest common factor of j and 682.
62
Suppose 17*j - 884 = -0*j. Suppose -j = 42*x - 46*x. Calculate the greatest common divisor of 13 and x.
13
Let i(u) = 5*u + 3*u**2 + 2*u + u**3 - 13*u**2 + 12. Let v be i(9). Let h = v + 24. Calculate the highest common divisor of 144 and h.
18
Let d(k) = 25*k + 185. Let s be d(-7). What is the greatest common factor of 135 and s?
5
Let u(r) = r**3 + 24*r**2 + 25*r - 72. Let j be u(-18). What is the highest common factor of 79 and j?
79
Suppose -8*j = -5*j + 15. Let i be 10*((-20)/j - 3). What is the greatest common divisor of i and 40?
10
Let u be 2/(-6) - (-184)/(-24). Let d be ((-54)/u)/(48/128). What is the highest common factor of d and 9?
9
Let x be ((-2)/6)/((-6)/18). Suppose 4*i - 4 = 5*w + x, -3*i - 2*w = -21. What is the greatest common divisor of 45 and i?
5
Let k = -826 + 853. Let y(v) = v**3 + 6*v**2 + 4*v - 3. Let c be y(-5). Let m be 2 - (5*-1 - c). What is the highest common divisor of m and k?
9
Suppose -7*z + z = -1680. Suppose 0 = 2*i - i - z. What is the highest common divisor of 40 and i?
40
Let l(f) = 11*f - 177. Let g be l(24). What is the greatest common divisor of 377 and g?
29
Let w = 221 + -139. Calculate the greatest common divisor of w and 697.
41
Let z = 13 - 7. Let r be 809/z + (-2)/(-12). Let d be -2 - (-2)/1 - -15. What is the highest common divisor of r and d?
15
Suppose -4*p = -3*k - 360, 5*p - 4*k + 13 = 462. Calculate the highest common divisor of 31 and p.
31
Let f be 20/100 + (-48)/(-10). Suppose f*y - 25 = 15. Calculate the greatest common factor of y and 8.
8
Let i be (44/(-16) + -2)/((-22)/176). What is the highest common factor of 171 and i?
19
Let x(q) = 2*q**2 + 45*q + 66. Let a be x(-21). Calculate the greatest common factor of a and 77.
1
Let y = 22 - 16. Suppose 2*q = 2*m + 20, -q - 3*m = -16 - y. Suppose -2*x - 8 = -i, -5*i + 3*i + x = -q. What is the greatest common factor of i and 42?
6
Let j(s) = 80*s**2. Let i be j(1