 5*j + 1117 = 0, -8*m + 1682 = -5*m - j. Calculate the highest common factor of m and 51.
51
Let c(r) = r**2 - r - 8. Let j be c(6). What is the greatest common factor of 66 and j?
22
Let d = 508 + -346. What is the greatest common factor of 27 and d?
27
Let w = 9 - 5. Suppose -w*g - 29 + 777 = 0. Calculate the greatest common factor of 17 and g.
17
Let d(l) = l**3 - 6*l**2 + 2*l. Let a be d(5). Let r = 22 + a. What is the highest common divisor of r and 21?
7
Suppose -15 = -3*f, -3*v + 8*f - 14 = 4*f. What is the greatest common divisor of 10 and v?
2
Let j(g) = g**2 + 3 - 1 - 3. Let u be j(-3). What is the greatest common factor of u and 12?
4
Let z = 47 - 29. Let t be 4*(-3)/(z/(-15)). Calculate the highest common factor of 15 and t.
5
Let h = -137 + 22. Let i = h + 178. Suppose 0 = 2*s + 10, 6*y - y - 25 = -2*s. Calculate the greatest common factor of i and y.
7
Suppose -4*k = -16, k + 0*k = 5*h - 46. Let z be h/(3/(-3)*-2). Suppose z*v - 4*v = 18. Calculate the highest common factor of v and 126.
18
Let k be -1 + (-4)/(6/(-3)). Suppose v = -k, -3*b - 5*v + 61 - 21 = 0. Let m(r) = r**2 + 5*r + 1. Let y be m(-7). What is the greatest common factor of b and y?
15
Let d(w) = 10*w**2 - 3*w + 1. Let a be d(-3). What is the highest common divisor of 20 and a?
20
Let a(u) = -u**3 - 10*u**2 - 8*u + 10. Let k be a(-9). What is the greatest common divisor of 3 and k?
1
Let j be 6/(-2)*4/(-3). Let i = -10 + 38. What is the greatest common factor of i and j?
4
Let j = -24 - -48. Let a be (2/(-2))/(2/(-8)). Suppose 4*q + 8 = -0*q - a*i, -5*q - 5 = 4*i. What is the greatest common divisor of q and j?
3
Let y = 2 + 3. Let a(m) = -m**3 + 8*m**2 - 8*m + 7. Let t be a(y). Suppose 3*l + t = 5*i, 4*i = -4*l + 8*l + 32. What is the greatest common divisor of i and 1?
1
Let v(y) = 14*y - 2. Suppose -4*m + 3 = -9. Let z be v(m). Calculate the highest common factor of 10 and z.
10
Suppose 3*n - 5*n - 4*f + 150 = 0, 76 = n + f. Calculate the highest common factor of 7 and n.
7
Suppose 0 = b - 3, 2*b = 3*t - 3*b + 9. Suppose -y = t*y - 42. Suppose a + a - y = 0. What is the greatest common divisor of a and 49?
7
Suppose 3*y - 223 = -49. Suppose 0*x = -x + 1, v + 4*x = y. Suppose -162 + v = -3*l. What is the greatest common divisor of 12 and l?
12
Suppose 4*u + 4 = 20. Suppose -5 - 5 = -2*n. Suppose -n*w + 8 = -12. Calculate the greatest common divisor of w and u.
4
Suppose -5*x - 3*j + j + 62 = 0, 0 = x + j - 13. Suppose 3*p - 192 = -p. What is the highest common divisor of x and p?
12
Let p be (-2312)/(-10) - 23/115. Let a = -65 + 98. Calculate the greatest common factor of a and p.
33
Suppose -480 = -29*f + 25*f. What is the highest common divisor of 80 and f?
40
Let j be ((-154)/21)/(8/(-3) + 2). What is the greatest common divisor of 1 and j?
1
Let y(z) = z**2 + 2*z + 6. Let j be y(-5). Calculate the greatest common factor of 105 and j.
21
Let h(i) = -i**3 - 9*i**2 - 9*i - 7. Let r be h(-8). Let j be r/(-2) + (-90)/(-12). Let n = -3 - -4. What is the greatest common factor of j and n?
1
Let d(r) = 2*r**3 - 4*r**2 + 4*r. Let f be d(3). Suppose 2*z - 7*z + 25 = -5*m, 2*m = 4*z - f. Calculate the greatest common factor of 70 and z.
10
Let c be (-21)/(-4) + 2/(-8). Suppose 3*t - 3*y - 21 = 0, 3*t - 12 - 11 = 4*y. What is the greatest common factor of c and t?
5
Let q be (-18)/(-4)*(-8)/(-12). Suppose -12 = -q*p + 84. Let a = -23 + p. Calculate the highest common divisor of 9 and a.
9
Let m = -3 - -5. Suppose m*b = -s + 8, 3*b + 3*s - 16 + 1 = 0. What is the greatest common factor of b and 1?
1
Let l = 111 + -109. What is the highest common divisor of 14 and l?
2
Suppose 0 = -3*p + 4*a + 12 + 4, 5*a = -5. Calculate the greatest common factor of 8 and p.
4
Suppose 4*h + 64 = -2*x + 5*x, -4*x = -3*h - 76. Calculate the highest common factor of x and 8.
8
Suppose 69 = h - 21. What is the highest common factor of 30 and h?
30
Suppose 5*k + 2 - 22 = 0. Suppose -4*u - 4*h + 0*h + 32 = 0, -44 = -k*u + 2*h. Calculate the highest common factor of 50 and u.
10
Let h(t) = t - 4. Let j be h(10). Let k be (-26)/(-2) - (j - 6). What is the highest common factor of k and 104?
13
Let o = 18 + -13. Suppose -5*n + 62 - 12 = 0. What is the greatest common divisor of o and n?
5
Suppose 5*c + 43 = 403. Suppose 4*w + 2*o - c = 0, -2*o + 5*o - 32 = -2*w. What is the greatest common factor of 209 and w?
19
Let i(y) = -y. Let n be i(-7). Let b = n + -4. Suppose b*p + 11 - 74 = 0. What is the greatest common factor of 7 and p?
7
Suppose 7 + 5 = 2*t. Suppose 5*b + 3*h = 75, h = -2*b + 6*h + 61. What is the highest common divisor of t and b?
6
Suppose -2*z + 7 = f - 2*f, -3*z - f = -13. Let s(k) = -k**3 + 4*k**2 + 6*k - 1. Let j be s(z). Calculate the greatest common factor of 253 and j.
23
Let h be (0 + 1)/(2/8). Suppose 33 = z - h*d, z - 66 = -z - 3*d. Let j(m) = -m + 15. Let v be j(-7). What is the greatest common divisor of z and v?
11
Let r(t) = -t**2 - 15*t + 12. Let d be r(-14). Let b = d + -16. What is the greatest common divisor of 20 and b?
10
Let p(t) = 3*t - 2. Let i be (-1)/(1/4*-2). Suppose -3*l - i = -4*x - 0, 0 = -4*x + 5*l - 2. Let d be p(x). Calculate the highest common factor of d and 20.
4
Let s(n) = n**3 + 11*n**2 + 2*n + 8. Let f be s(-10). Suppose 0*h + 35 = 4*h + m, 2*h = -m + 19. What is the greatest common factor of h and f?
8
Let q be (-96)/(-18)*45/2. Suppose q = 5*j - 2*j. What is the greatest common divisor of j and 10?
10
Let h(y) = -y**2 + 6*y + 7. Let w be h(7). Let b = w + 6. Calculate the highest common factor of b and 6.
6
Let p(b) = -b**3 - 3*b**2 - 8*b - 3. Let z = -23 - -16. Let i be p(z). Suppose 0 = 5*f - i + 49. Calculate the greatest common divisor of f and 10.
10
Suppose -i = -2*i. Suppose i*x - 3*x = -42. Let t = 15 - 13. Calculate the highest common divisor of x and t.
2
Let w = 1 - -5. Suppose -2*u = 4*z + 14, w*z - z = -5*u - 30. Let b be z/(-5)*15/3. What is the greatest common factor of 1 and b?
1
Suppose 3*s - 27 = -2*o - 6, -5*o + 56 = 4*s. Let z be (16*2 - 2) + 12 + -12. Calculate the greatest common factor of z and o.
6
Let q be 1 + -3 + 3/(12/116). Suppose -3*i = -y - 5*i + 12, -i = y - 15. What is the highest common factor of y and q?
9
Let k be (-280)/(-32) + 3/12. Let d be (-188)/(-3) - (-2)/6. Calculate the greatest common factor of k and d.
9
Let i = -7 + 27. Calculate the highest common divisor of 50 and i.
10
Let b be 3064/88 + 2/11. Calculate the highest common divisor of 14 and b.
7
Let c(p) = 3*p**2 - 18*p + 30. Let x be c(5). Calculate the highest common factor of 30 and x.
15
Let r(j) = -15*j - 9. Suppose 3*v = -0 - 6. Let i(s) = 5*s + 3. Let n be i(v). Let b be r(n). What is the highest common factor of b and 16?
16
Suppose -4*p + 0*p = 5*n + 20, 0 = 2*n + p + 5. Suppose 2*r + n*r - 182 = 0. Calculate the greatest common factor of 13 and r.
13
Let m(h) = -h**2 + 6*h + 3. Let b = 3 - -2. Let q be m(b). What is the greatest common divisor of 56 and q?
8
Suppose a + 6*x - 4 = 2*x, x = -5*a + 20. Let j(d) = -6*d - 5*d - 6 + 4. Let u be j(-2). What is the highest common divisor of a and u?
4
Suppose -14 = 5*j - 199. Let i = j - 2. Calculate the highest common divisor of i and 5.
5
Let k = 350 - 150. What is the greatest common divisor of k and 8?
8
Let b(m) = 2*m - 5. Let k(t) = t - 4. Let n(s) = -2*b(s) + 3*k(s). Suppose -2*h = 3*h + 15. Let x be n(h). Calculate the greatest common divisor of 1 and x.
1
Let m = -5 - -8. Let q(n) = -n**2 + 6*n + 3. Suppose -38 + 8 = -5*a. Let f be q(a). Calculate the highest common factor of f and m.
3
Let d(g) = g**3 - 9*g**2 + 3*g + 2. Let c be d(9). Let h = c - 17. Calculate the highest common divisor of 84 and h.
12
Suppose -g + 40 = 7*k - 3*k, -3*k = -9. What is the highest common divisor of g and 308?
28
Let q(c) = 7*c - 21. Let i(r) = -2*r + 7. Let k(m) = 8*i(m) + 3*q(m). Let o be k(7). Calculate the highest common divisor of 4 and o.
4
Let x(k) = 2*k - 9. Let h be x(6). Let f be 1*(6 + h + -5). Suppose 57 - 21 = f*i. Calculate the greatest common divisor of i and 1.
1
Let m be 4914/135 - 2*(-2)/(-10). What is the greatest common factor of m and 72?
36
Suppose -4*k + x - 926 = -x, -1162 = 5*k - x. Let w be 2 - 8/2 - k. What is the highest common divisor of w and 21?
21
Let u(j) = 2*j**2