
Let o be (-140)/(-6) - (-2)/3. Calculate the highest common factor of 12 and o.
12
Let s = 8 - -22. Suppose -3*m + 5*j - j + 10 = 0, 9 = 2*m - 5*j. Suppose m*p = -p + s. Calculate the greatest common divisor of p and 10.
10
Suppose -4*f + 32 + 148 = 0. Calculate the highest common divisor of f and 135.
45
Let b(o) = o**2 + o + 2. Let i be b(2). Let c be 22*1 + 1 + 1. Calculate the highest common factor of i and c.
8
Suppose 2*b - 2 = -0. Let i(j) = 12*j + 1. Let z be i(b). Calculate the highest common factor of z and 104.
13
Let k(x) = x**2 - 3*x - 3. Let u be k(5). Suppose 4*d - 69 = -5*h, d + 4*h - 8 = 23. Let p = u + d. Calculate the highest common factor of p and 3.
3
Suppose l = -3*k - l + 12, 3*k - 12 = -5*l. Suppose -k*v = -2*v - 4. Let a be (1/v)/(2/20). Calculate the highest common factor of 2 and a.
1
Suppose 3*b + 12 = b. Let r(c) = 2*c + 13. Let u be r(b). Suppose 4*t - 5*n + 21 = 0, -5*n = 5*t + 10 - 40. Calculate the highest common factor of t and u.
1
Suppose -2*g = -0*g. Suppose -2*s + 7 = -0*d + 3*d, 3*s - 6 = g. Calculate the greatest common factor of 11 and d.
1
Let l(p) = -2*p + 3. Let a be l(-3). Let w be (-678)/(-24)*2*2. Suppose -2*y + 311 - w = 0. What is the highest common divisor of y and a?
9
Suppose -5*i = n - 2*n - 19, 5*n = 3*i - 7. Let a be ((-22)/i)/(8/(-16)). What is the greatest common divisor of a and 1?
1
Let w = 0 - -1. Let d be (-6)/9*-3 + -6. Let r(s) = -s + 5. Let j be r(d). What is the greatest common factor of j and w?
1
Suppose -332 = 4*x - 7*x + 5*j, 0 = -2*x - 4*j + 192. Calculate the greatest common factor of x and 26.
26
Let d(r) = r**3 + 8*r**2 + 2*r - 8. Let g be d(-7). Calculate the greatest common divisor of g and 54.
27
Let t be 3/5 + (-20)/(-50). Calculate the highest common divisor of t and 3.
1
Suppose 0*z = 4*z - 212. Calculate the greatest common factor of z and 159.
53
Suppose 0 = -8*w + 3*w + 180. Calculate the greatest common divisor of w and 27.
9
Let c be -2 + -2 - -7 - 8/(-2). Calculate the highest common divisor of c and 126.
7
Suppose 0 = -2*l, -5*q + 21 = -5*l - 19. Calculate the greatest common factor of 56 and q.
8
Let w = 17 - 33. Let g = w - -33. Calculate the greatest common factor of 136 and g.
17
Suppose 0 = 4*g - 3*h - 103, 0 = -g + 3*g - 4*h - 44. What is the greatest common divisor of 7 and g?
7
Suppose 3*y = -y - h + 45, 5*y - 2*h = 53. What is the highest common divisor of y and 121?
11
Let c be 14/7*(-1 - -3). Suppose -y - 8 = 3*z, -z = -c*y - 0*y + 20. What is the highest common factor of 32 and y?
4
Suppose -2*s = -24 - 16. What is the highest common divisor of 5 and s?
5
Let z(j) = 12 + 0*j + j + 6. Let d be z(0). Suppose 4*l = -4*a + 587 - 31, 2*l + 10 = 0. What is the highest common divisor of a and d?
18
Let n(k) = k**3 - 10*k**2 + 9*k + 2. Let q be n(9). What is the greatest common factor of 3 and q?
1
Let m(l) = -l**2 - 14*l + 2. Let x be m(-14). Let o(n) = -16*n. Let h be o(-1). What is the highest common divisor of h and x?
2
Suppose 2*b + 648 = 11*b. What is the greatest common divisor of b and 6?
6
Suppose 5*r = 4*k - 13, -2*r = -0*k - 2*k + 6. Suppose 0 = -z - k*s + 21, -s + 8 - 29 = -z. Calculate the highest common divisor of 3 and z.
3
Let k(z) = -z**3 + 3*z**2 + 3*z. Let a be k(-1). Calculate the highest common divisor of 8 and a.
1
Let m be (0 + -3 - -7)*14. What is the greatest common divisor of m and 84?
28
Suppose -x = t - 36, 7*t - 104 = -3*x + 3*t. Let h(q) = -q**3 + 9*q**2 + 10*q + 8. Let o be h(10). What is the greatest common factor of x and o?
8
Let m = 28 - 15. Let s = m + -37. Let z = -15 - s. What is the greatest common factor of 81 and z?
9
Let g(l) = 3*l + 6 - 30*l**3 - 1 + 5*l**2 + 29*l**3 - 2*l. Let n be g(5). Calculate the highest common factor of 1 and n.
1
Suppose 0 = -2*s - 5*w + 115, -s = s + 3*w - 109. Let h be (s/15)/((-1)/(-6)). What is the greatest common divisor of 80 and h?
20
Let a = 11 + -7. Suppose -c = a*c - 15. What is the highest common divisor of c and 1?
1
Let g(s) = 23*s + 6. Let v(q) = 1. Let c(o) = g(o) - 4*v(o). Let f be c(2). Calculate the greatest common divisor of 6 and f.
6
Let n be (-10)/((-1)/(45/6)). Suppose 12 = 3*m - n. Suppose 3*o = -2*j + j + 17, 0 = -4*o + 5*j + m. What is the greatest common divisor of o and 15?
3
Let y be -1*(-36)/8*-2. Let a be ((-12)/2)/3 - y. What is the highest common factor of a and 56?
7
Let n = 36 - 6. Calculate the highest common factor of n and 12.
6
Let j = 45 + -42. Suppose 2 = s + 1. What is the greatest common factor of j and s?
1
Let w(s) = -s**2 - 2*s + 5. Let f(v) = -2*v**2 - 3*v + 10. Let b(p) = -3*f(p) + 7*w(p). Let r be b(-5). Calculate the highest common divisor of r and 15.
5
Let q = 22 + -6. Calculate the greatest common divisor of q and 128.
16
Let q be (45/(-6))/((-9)/132). What is the greatest common factor of q and 11?
11
Let z = 84 - 30. Calculate the highest common factor of z and 6.
6
Let f be (0 + 4 + 1)/1. Suppose -4*y - y = -f. Suppose -6 + 7 = 3*k - l, -k - 5*l + 11 = 0. What is the highest common divisor of k and y?
1
Suppose -3*n - 486 = -9*n. What is the greatest common divisor of 9 and n?
9
Let w(t) = 2*t - 7 - 2*t - t. Let x be w(-10). What is the greatest common factor of x and 24?
3
Let y(b) be the first derivative of -9*b + 1/3*b**3 + 1 + 4*b**2. Let w be y(-10). Calculate the highest common factor of 1 and w.
1
Let v be 4/(-3)*3*-2. Calculate the highest common divisor of 88 and v.
8
Suppose -b + 57 = 2*b. Suppose -b = -5*u + 26. Calculate the highest common factor of 9 and u.
9
Let x = 56 - 20. Calculate the highest common divisor of 4 and x.
4
Suppose -n = 4*n - 240. Suppose -y - n = -4*y. Calculate the highest common factor of 16 and y.
16
Let m(a) = a**3 + 3*a**2 - 6*a - 5. Let j be m(-4). Suppose -j*b + 105 = 5*h, 13 = 3*b + 3*h - 86. Calculate the highest common factor of 15 and b.
15
Suppose -134 = -5*m - 19. What is the highest common divisor of m and 46?
23
Suppose 0 = -12*k + 7*k + 195. What is the highest common divisor of 26 and k?
13
Let h be 5/1*(-24)/(-10). Suppose 1188 = -14*k + 23*k. What is the highest common divisor of k and h?
12
Suppose 5*u - 3*g = 23, -g + 3*g = u - 6. Let s be (-200)/(-14) - u/14. Suppose -4*h + 17 + 375 = 0. Calculate the greatest common factor of h and s.
14
Let v(p) = p**3 + 5*p**2 - 6*p + 4. Let c be v(-6). Calculate the highest common divisor of 10 and c.
2
Let y(g) = -g - 1. Let s be y(-4). Suppose 256 = -s*w + 5*w. Suppose -t - 80 = -6*t. Calculate the highest common factor of w and t.
16
Suppose 0 = g + 2*b - b - 9, -4*b + 20 = 0. Suppose -z - 3*l = -14, g*z + l - 58 = z. What is the greatest common factor of z and 60?
20
Let x be 4*10/(-8)*-5. Let b be (-2 - -2)*1/1. Suppose 3*i = -0*c + 3*c - 6, 4*c - i - 17 = b. What is the greatest common factor of x and c?
5
Suppose 0 = -3*u + 6 - 0. Suppose 4*l + u*t + 262 = 0, t - 73 = l - 0*t. Let b = -24 - l. Calculate the greatest common factor of b and 11.
11
Let j be (-1)/(-2)*(15 - 7). Let m = 5 + j. Suppose 2*n = x + 93, 5*n - 162 = -2*x + 57. Calculate the highest common factor of m and n.
9
Let w be 5/7 + (-12)/(-42). Let x = w - -3. Suppose x*g - 5 = 155. What is the highest common factor of g and 10?
10
Suppose 0*c + 2*c = -b + 389, -2*b = 3*c - 586. Calculate the greatest common divisor of 24 and c.
24
Let f be (-9*1)/(-1 - 0). Suppose f = 4*d - 47. Let v(k) = -k**2 + 23*k - 20. Let b be v(18). Calculate the greatest common divisor of d and b.
14
Let k = 25 + -4. Calculate the highest common factor of k and 3.
3
Let m be ((-6)/(-8))/(1/(-8)). Let s = 14 - m. Let a be 1 - 1*(-2 - 1). Calculate the highest common divisor of a and s.
4
Suppose 14*g - 17*g + 312 = 0. What is the greatest common factor of g and 13?
13
Let w(c) = -c**2 + 8*c - 2. Let s be w(7). Suppose -2*i + s*g = -43, 51 = 4*i - g - 2*g. What is the highest common factor of 18 and i?
9
Suppose -14*i + 10*i = -8. Calculate the greatest common divisor of i and 8.
2
Let d = 5 + 13. What is the greatest common divisor of d and 108?
18
Suppose -3*s + 4*n + 46 = 3*n, 2*s - 4*n - 44 = 0. What is the greatest common divisor of s and 98?
14
Let u(m) = 16*m - 8. Let b be u(4). What is the highest common divisor of b and 140?
28
Suppose 0 = 5*r - 0*r - 110. Calculate the highest com