
20
Suppose -a + 2 = -7. Let v = a - 7. What is the highest common divisor of v and 10?
2
Let u(w) = 44*w + 1. Let t be u(1). What is the highest common factor of t and 5?
5
Let n(b) = -3*b - 6. Let t be n(-4). Suppose -35 = -c + 3*k - t*k, -k = -c + 35. What is the greatest common divisor of c and 5?
5
Let s(r) = -r**3 + 5*r**2 + 9*r - 8. Let t be s(6). Let q = 22 + t. Suppose -q = -5*x + 13. What is the highest common divisor of 63 and x?
9
Suppose -p = 5 - 1. Let o be p/16 - 18/(-8). Let q = 20 + -10. What is the greatest common factor of o and q?
2
Let z = 21 - -23. Suppose -d + 3 = -1. What is the greatest common divisor of d and z?
4
Suppose 19 = 3*q - c, q + 2*c - 9 = 3*c. Suppose -4*f + 0*f = q*y - 245, f = -y + 62. Calculate the greatest common factor of f and 26.
13
Suppose -3*a - 147 = -4*i + 114, -246 = -4*i - 2*a. Suppose 0 = -3*g - 5 + 26. Calculate the highest common factor of i and g.
7
Let z = -31 + 56. Let d = 40 - z. Let y be 49/5 + 3/d. Calculate the highest common factor of y and 1.
1
Suppose 285 - 310 = -5*s. What is the greatest common factor of 10 and s?
5
Let j = -46 + 85. Suppose -5*y - 47 = -4*m, 4*m + 3*y = 32 + 23. Let w be (0 - -1)*m/1. What is the highest common factor of j and w?
13
Let s(i) = 5*i**3 - 4*i**2 + 2*i. Let a be s(2). What is the greatest common divisor of a and 4?
4
Let b(f) = -3*f**2 + f. Let w be b(1). Let k be (-1)/((w/(-17))/(-2)). Calculate the highest common divisor of k and 136.
17
Suppose -3*a + 2*a + 18 = g, 2*a - 5*g - 1 = 0. What is the greatest common factor of 26 and a?
13
Let i(c) = -32*c - 4. Let l be i(-1). What is the highest common divisor of 196 and l?
28
Let o(b) = -31*b - 92. Let a be o(-5). Suppose -3*c + 45 = 2*c. What is the highest common divisor of a and c?
9
Suppose 2*b = q - 34, -53 - 58 = -3*q + 3*b. What is the highest common divisor of q and 60?
20
Suppose 0 = 5*t - 3*b - 1308, 2*b = -4*t + 3*b + 1052. Calculate the greatest common divisor of 12 and t.
12
Let s = -56 + 71. What is the greatest common divisor of 5 and s?
5
Suppose 5 = -6*z + 7*z. Let q be 6 + -3 + z + 0. What is the highest common divisor of 4 and q?
4
Suppose -5*g - 12 = -37. Suppose -g*q + 29 = -1. What is the greatest common divisor of q and 12?
6
Let k be -10*(-5)/(-20)*-18. Calculate the greatest common factor of k and 90.
45
Suppose 446 + 262 = 4*y. Let h = 9 - 4. Let o be y/h + 9/15. What is the greatest common factor of o and 4?
4
Let k = -27 + 43. Let f be (-2)/3*(-1 + -2). Suppose f*g - 4*i - 84 = 0, 5*i - 155 = -2*g - 2*g. What is the greatest common divisor of k and g?
8
Suppose 5*y - 3*y = 704. What is the highest common factor of 44 and y?
44
Suppose 2*l + 3*m = 3*l + 11, 0 = -5*m + 25. Suppose -3*k + 18 = -5*b, 0 = -l*k - 3*b + 4*b + 24. Calculate the highest common divisor of k and 24.
6
Let j(h) = h**3 + 146. Let k be j(0). Suppose 0 = -2*x + 78 + k. What is the highest common divisor of x and 28?
28
Suppose 2*v + 2*v = 660. Suppose -4*t - t = -3*x - v, -128 = -3*t - 4*x. What is the greatest common factor of 18 and t?
18
Let t be 4/6 - 10/15. Suppose 4*w - 3*r + 5*r - 138 = t, 4*w = 3*r + 153. Calculate the highest common factor of w and 4.
4
Suppose 6*h = 2*h + 324. Let n be 1/((-10)/(-6) + -2). Let i be (-26)/(-3) - 1/n. Calculate the greatest common factor of h and i.
9
Let j(p) = -p**3 - 4*p**2 - 4*p - 4. Let f be j(-4). Suppose 3*a - f = 2*a. Let n be (a/5)/((-12)/(-200)). Calculate the highest common factor of n and 5.
5
Suppose -544 + 139 = -4*g - 5*d, 5*d + 95 = g. Suppose 0 = -s + g + 19. Calculate the greatest common factor of s and 17.
17
Suppose -2*o = -13 - 13. What is the highest common divisor of 13 and o?
13
Let w(z) = 0*z - z**3 - 2*z**2 - 2*z - 4*z**2 - z**2 + 7. Let q be w(-7). What is the greatest common factor of q and 189?
21
Suppose 18*z + 18 = 19*z. Calculate the greatest common divisor of z and 54.
18
Let m(a) = 2*a**2 + a - 2. Let i be m(-2). Calculate the highest common factor of 8 and i.
4
Let m = 51 - 48. Let k be ((-12)/(-10))/(4/10). What is the highest common factor of m and k?
3
Suppose -7*u = 23*u - 1200. Suppose -3*s = -45 - 9. Suppose -4*x + 14 = -s. Calculate the greatest common divisor of u and x.
8
Suppose 3*x = x + 10. Suppose -5*b + 4*b = -x. Suppose 3*u - 220 = -u. What is the greatest common divisor of b and u?
5
Let n be ((-2)/(-3))/(2/36). Let f(q) = q**3 + 4*q**2 + 3*q + 2. Let h be f(-5). Let t = h + 62. What is the highest common factor of t and n?
12
Let n be 542/6 - 10/(-15). Calculate the greatest common divisor of 13 and n.
13
Suppose -4*n = 2*w - 14, -3*w + 11 = -n + 2*n. Calculate the highest common divisor of 10 and n.
2
Let u = 35 + -15. Calculate the greatest common divisor of 40 and u.
20
Let p(y) = y**3 + 7*y**2 + y + 8. Let m be p(-7). Let i be (2 + -1)/m - -3. Suppose -i*r = r - 140. Calculate the highest common divisor of r and 14.
14
Suppose 0*c = -3*c + 162. Suppose -6*d + d = 15, -y + 29 = -5*d. Let k = -8 + y. Calculate the highest common divisor of k and c.
6
Suppose 3*h - 111 = -3*r, h - 3*h = -5*r + 178. What is the greatest common factor of r and 81?
9
Let f be (0 - -18) + -9 + 8. Calculate the highest common factor of 51 and f.
17
Let i(q) = 6*q + 6. Suppose 2*d - t - 13 = 0, 3*d + 0*t - 3*t = 18. Let a be i(d). Let u be (9 - 1)*12/8. Calculate the highest common divisor of u and a.
12
Suppose 5*o - 110 = 2*z, -z + 35 = 2*o - 0*z. What is the highest common divisor of 40 and o?
20
Suppose 6*h - 318 - 276 = 0. Calculate the highest common factor of 11 and h.
11
Let q be ((-9)/(-6) - 0)*32. Suppose 0*o + 5*n = 3*o + 2, -28 = -2*o - 4*n. Calculate the greatest common divisor of q and o.
6
Let i(k) = 5*k. Let d be i(5). Calculate the greatest common divisor of d and 10.
5
Let l = 21 + -9. Let h(m) = m + 6. Let z be h(-2). What is the greatest common divisor of z and l?
4
Suppose 2*z + 2 = f - 4*f, -z - 1 = 0. Suppose -g - 1 + 5 = f. Suppose g*o - 132 = 108. What is the highest common divisor of o and 10?
10
Let i be (24/(-14))/(2/(-308)). Let p be 3 + (3 - 3)/(-2). Suppose -29 + 101 = p*m. Calculate the greatest common divisor of i and m.
24
Let l be (-3 - 2*-1) + -2. Let d be (3/l - 0)*-2. Let c be 10 - ((1 - d) + 3). What is the greatest common divisor of c and 40?
8
Let f(u) = 2*u**2 - 2*u + 3. Let r(c) = c**3 - 3*c**2 + 2*c - 4. Let k be r(3). Let x be f(k). What is the greatest common factor of 7 and x?
7
Suppose 5*n = -2*t + 27 + 44, 3*t = -6. Suppose -s + 46 = 4*s - o, 5*s = -o + 54. Calculate the highest common factor of n and s.
5
Let y = 38 + 2. Calculate the highest common divisor of y and 10.
10
Let v = 13 + -8. Let q be 1/((-10)/(-38))*v. Calculate the greatest common divisor of q and 57.
19
Let p = 52 + -33. Suppose -5*x = -3*m + 39, -4 = -3*x - m - p. Let y be (-2*5)/(3/x). What is the greatest common factor of y and 5?
5
Let p(q) = -6*q + 7. Suppose 2*t = -2*t - 24. Let v be p(t). Let k = v - 19. What is the greatest common divisor of 6 and k?
6
Let x(y) = 2*y**2 - 3*y. Let w be x(2). Calculate the greatest common divisor of 6 and w.
2
Suppose 2*o - 24 = -2. Suppose c + 1 + 0 = g, -g - o = -5*c. Let q(w) = -11*w - 2. Let h be q(-2). What is the greatest common divisor of h and g?
4
Let o = 418 + -163. Calculate the highest common divisor of 15 and o.
15
Let c = 165 - 99. Let u = c + 6. Let m = 26 - 8. What is the highest common factor of u and m?
18
Let o(l) = -2*l**3 - 41*l**2 + 19*l + 12. Let p be o(-21). Calculate the greatest common factor of p and 81.
27
Let q(d) = -3*d**2 + 3. Let y be q(-3). Let r be (85/(-4))/(6/y). Suppose 20 = x - 14. Calculate the highest common factor of r and x.
17
Suppose 0 = -2*n + n + 4*j + 21, 0 = n - 3*j - 20. Calculate the highest common factor of n and 17.
17
Suppose 4*k + 11 + 1 = 0. Let j = 5 + k. Suppose j = g - 7. What is the highest common factor of g and 81?
9
Let y(c) = -61*c - 5. Let h be y(-2). Calculate the greatest common divisor of 13 and h.
13
Suppose 0 = 3*r + 12, 3 = -y - 3*r + 6. Calculate the greatest common factor of y and 5.
5
Suppose -3*p + 2052 = 3*p. Calculate the highest common factor of p and 38.
38
Let b = 68 + -64. What is the greatest common factor of 44 and b?
4
Let y = 13 - 5. Let p(o) = o**2 - 6*o - 7. Let g be p(-3). Calculate the 