
Let d(f) = f**2 - f - 8. Let g be d(-5). Calculate the highest common divisor of g and 11.
11
Suppose -4*k + 4*p = -71 + 19, -2*k - 3*p + 51 = 0. Let w(z) = 4*z - 4. Let v = -4 - -8. Let f be w(v). Calculate the greatest common divisor of k and f.
6
Let i(t) = t**2 + 16*t + 35. Let c be i(-14). What is the highest common divisor of c and 14?
7
Suppose -5 + 100 = -5*p. Let t = p - -49. Calculate the greatest common divisor of 12 and t.
6
Let f = -5 - -8. Suppose -f*t = -2*n - 229, 2*t - 309 = -2*t - n. Calculate the greatest common factor of t and 7.
7
Suppose 2*x - 44 = -2*x. Calculate the highest common factor of x and 1.
1
Let s be (9/12)/(4/16). Calculate the greatest common factor of 12 and s.
3
Let t(q) = q**2 + 3*q + 2. Let z be t(-2). Suppose z*p - p + 24 = 0. Calculate the highest common factor of p and 60.
12
Suppose 4*s + 209 = 3*x + 2*x, -106 = -2*x - 4*s. Let c = 5 + 4. Calculate the highest common factor of c and x.
9
Let k(a) = 11*a + 6. Let t be k(6). Let u be (t/(-45))/(2/(-30)). What is the highest common divisor of 240 and u?
24
Let r be -1 + 1 + 1*-3. Let t be -3 + 0/r + 2. Let o = 2 + t. Calculate the highest common divisor of 1 and o.
1
Suppose 177 = 4*y - 35. Suppose 3*h - 5*r - 54 = 0, -2*h + 2 = 3*r - y. Calculate the greatest common factor of h and 23.
23
Let r(b) = -b**3 + 7*b**2 + 7. Let a be r(7). Let p = a + -4. Suppose -5*f + 53 = -w, 7*f - 48 = p*f - 2*w. Calculate the greatest common factor of f and 1.
1
Suppose -q + 1 = -1. Let w(i) = -2 + 4*i + 3*i**3 - 2 + 2 - 3*i**2. Let h be w(2). What is the greatest common factor of h and q?
2
Let g be ((-3)/(-2))/(9/12). Suppose -p - p = -g. Let d = 5 - p. What is the greatest common factor of 10 and d?
2
Suppose 6*z + 24 = 7*z. Calculate the highest common factor of z and 36.
12
Suppose -4*j + 54 - 14 = 0. Let u = j - -2. Let v(b) = b**3 + 2*b**2 - 3*b. Let s be v(4). What is the greatest common divisor of u and s?
12
Suppose -4*g + 0*g + 16 = 0. Suppose 49 = 5*q + 3*v - 2*v, g*q = -v + 39. Calculate the greatest common factor of q and 110.
10
Suppose u - 38 - 71 = 0. Let n be 253*(0 + 0 + 1). Let m = n - u. Calculate the highest common divisor of m and 16.
16
Let r = 19 - 34. Let t(v) = v - 1. Let z be t(-2). Let g be ((-4)/z)/((-1)/r). Calculate the highest common divisor of g and 100.
20
Suppose -4*q = -3*h + 31, -26 = -2*h + 7*q - 3*q. Let c be (-66)/(-4) + (-8)/16. Let n = c - h. What is the greatest common divisor of 22 and n?
11
Suppose 4*s + 0*j - 47 = -3*j, -s + 29 = -5*j. What is the greatest common divisor of 112 and s?
14
Let v be (5 - 3) + 1*-6. Let c be 18*(-6)/v + 3. What is the highest common factor of c and 10?
10
Let u be (-175)/14*((-28)/10 + -2). What is the greatest common factor of u and 20?
20
Let j = 9 - 7. Suppose 0*p - 72 = -j*p. What is the highest common divisor of 9 and p?
9
Suppose -11*x = -9*x - 198. What is the greatest common factor of x and 9?
9
Let n(u) = 4*u**3 - 2*u**2. Let d be n(2). Suppose 5*a - 229 - 11 = 0. Calculate the highest common factor of d and a.
24
Let w be (11/(-22))/((-2)/64). Let h = -40 + 56. What is the greatest common divisor of w and h?
16
Suppose -4 = -5*r - 154. Let z be (-72)/r*(-10)/(-3). Calculate the highest common divisor of 64 and z.
8
Suppose 15 = -3*t, -2*o + 3*t + 30 = -19. What is the greatest common divisor of 68 and o?
17
Let w = -72 + 216. What is the greatest common divisor of w and 18?
18
Suppose 34*n - 27*n = 245. Calculate the highest common factor of 35 and n.
35
Let z = 9 + -4. Suppose -f = -0 - z. Suppose 0 = t + f*v - 128, 3*t - 196 = t + 5*v. What is the highest common factor of t and 12?
12
Let f = -66 + 68. Calculate the highest common divisor of f and 16.
2
Suppose f + 41 = 5*b - b, 0 = 3*b - 2*f - 27. What is the greatest common factor of 55 and b?
11
Suppose -4*z + 81 = -z. Let j be 11 + (1 - (1 + -3)). Let y = j - 5. Calculate the highest common divisor of y and z.
9
Let q = 16 + -17. Let t be (-8)/q + 1 + -1. What is the greatest common factor of t and 16?
8
Let i = 0 + 2. Let q(v) = v**3 + v**2 + 2*v + 2. Let d be q(-2). Let r(k) = -3*k - 8. Let z be r(d). What is the highest common factor of z and i?
2
Let d(u) = 15*u**3 - u**2. Let o be d(1). What is the greatest common factor of o and 154?
14
Let x = -9 - -22. Let y(r) = -2*r + 3. Let h be y(-5). What is the highest common divisor of h and x?
13
Let o(i) = 3*i + 7. Let g be o(3). What is the highest common factor of g and 24?
8
Let y = 28 - -4. Calculate the greatest common factor of y and 16.
16
Suppose 0 = -4*x - 2*d + 868, -4*x - d = -5*d - 856. What is the greatest common factor of x and 24?
24
Let x(j) = j + 20. Let b be x(-10). Calculate the highest common divisor of 50 and b.
10
Suppose 3*d = d - 6. Let i be 6/(-9) - 362/d. Suppose -l = 2, i = 2*z - 2*l + 5*l. Calculate the highest common divisor of z and 9.
9
Let p be (-52)/6*(-1 - 2). What is the greatest common factor of 13 and p?
13
Let k = -592 - -847. Let y be -3 - -1 - (-1 - 261). Suppose -4*l = -5*n + y, -n + 6*n - 3*l = k. Calculate the greatest common divisor of 12 and n.
12
Let u = 7 - 10. Let p = 5 + u. Suppose -27*a + 15*a = -60. Calculate the greatest common divisor of p and a.
1
Suppose 0 = o + 7 - 21. Calculate the highest common factor of o and 42.
14
Let j(q) = 4*q**3 + 6*q + 0*q + 5 - 6*q**2 - 3*q**3. Let f be j(5). Let u = -21 + 26. What is the highest common factor of f and u?
5
Suppose 0*x + 66 = 5*x + 3*q, 24 = 2*x + 2*q. Calculate the greatest common divisor of x and 15.
15
Let b be (-80)/60*(-27)/2. Let m be (-1)/((-2)/(-4)) - 41. Let i be 4/2 - m/1. What is the greatest common divisor of i and b?
9
Let r = 14 + -6. Let x = 176 + -85. Let q = -35 + x. Calculate the highest common factor of q and r.
8
Let j be 145/3 - (-4)/(-12). Suppose 6*h + 240 = 8*h. Calculate the greatest common divisor of h and j.
24
Let t = 24 + -10. Let k = -70 - 0. Let c = 126 + k. Calculate the highest common factor of c and t.
14
Let k = -1 - -3. Suppose 2 = k*y - 0. Let w = 3 + y. Calculate the highest common factor of 8 and w.
4
Suppose 4*r - 40 = -4*l, 6*r - 4*l = 2*r + 8. Let a(x) = -20*x - 6. Let c be a(-3). Calculate the highest common factor of r and c.
6
Suppose -k - 2*z + 7 = -6*z, -2*k + 4*z + 14 = 0. Suppose -40 = -3*g - k. Calculate the greatest common factor of g and 77.
11
Suppose -2*j = -4*u - 4, 3*j + 4*u = 8*j - 22. Suppose 0 = -v + 2, -4*t + 5*v - j = -0*t. What is the greatest common divisor of t and 7?
1
Suppose o = 5 + 13. Calculate the highest common factor of o and 18.
18
Let p(y) = -y**3 - 11*y**2 - y - 6. Let d be p(-11). Let s = -31 - -56. What is the highest common divisor of d and s?
5
Let v(w) = -w**2 + 46*w - 54. Let y be v(28). Calculate the greatest common factor of 18 and y.
18
Suppose -4*f + 30 = 2*q, -24 = -3*f + f - 4*q. Calculate the highest common divisor of f and 24.
6
Let v be 97/9 + (-6)/(-27). Let b = v + -7. Suppose -3*g = g - 4*i - 40, 2*i + 36 = b*g. Calculate the greatest common divisor of g and 1.
1
Let z = -142 + 202. Suppose 0 = -3*d + 15, 2*d + 33 = -2*m + m. Let j = -23 - m. Calculate the greatest common divisor of j and z.
20
Let z = -67 + 91. What is the highest common divisor of 3 and z?
3
Let h(u) = 4*u**3 + u**2 - 1. Let c be h(1). Suppose -f = c, 2*y - 3*f - 56 = 8. What is the greatest common factor of 13 and y?
13
Let q(v) = -v**2 + 2*v + 4. Let j be q(0). Suppose -2*m + 6*b - j*b + 50 = 0, -3*m + 4*b + 73 = 0. Calculate the highest common divisor of m and 54.
27
Suppose -7*r + 3*r + 20 = 0. Let x be 88/24 + (-2)/(-6). Suppose -x*i = -5*i + 15. Calculate the highest common factor of i and r.
5
Suppose -4*f - f = -f. Let p = -5 - -7. Suppose f = -p*y + 2 + 10. What is the highest common factor of 24 and y?
6
Suppose -772 = -5*s - 172. What is the greatest common factor of 15 and s?
15
Let y be (-6)/(-5)*(-1100)/(-33). Let c = 70 - y. Calculate the greatest common divisor of 15 and c.
15
Suppose b = -0*b + 5*s + 25, b - 55 = -s. Calculate the highest common divisor of 10 and b.
10
Let m(t) = 53*t - 2. Let f be m(4). What is the greatest common divisor of f and 21?
21
Let n = 201 + -21. What is the greatest common divisor of 45 and n?
45
Let b(n) = 10*n + 10. Let h be b(7). Calculate the greatest common factor