8 + (-27)/36. Let m be y(n). What is the greatest common factor of 5 and m?
5
Let b(d) = d**2 + 3*d - 6. Let m be b(-5). Suppose -2*g + 2*z = -m, 3*g + 3*z - 6 = -z. Let i = 2 + g. Calculate the greatest common factor of 4 and i.
4
Suppose 4*t + 8 = 6*t. Let q = 14 + t. Calculate the highest common divisor of q and 162.
18
Suppose -2*l = -3 - 1. Let p(n) = -3*n + 0*n**2 + 0*n + 2*n**2 + 0*n + 2 + 7*n**3. Let r be p(l). What is the highest common factor of r and 24?
12
Let y = -24 + 60. Let g = y + -22. Suppose 0 = 2*q + 5*f - 171, 4*q - 3*f - 377 = -6*f. Calculate the greatest common factor of g and q.
14
Suppose 0*v + 4*v = 12, -4*z = 3*v - 25. Let i = 5 - z. Let a(h) = 32*h. Let k be a(i). What is the greatest common factor of 80 and k?
16
Let w be ((-9)/2)/(6/(-40)). Suppose -4*o + 0*c = 4*c - 4, 0 = 4*o - 3*c - 18. Suppose 100 = 2*b + o*b. What is the greatest common factor of w and b?
10
Let q = -15 - -60. Calculate the highest common factor of q and 5.
5
Suppose 0*h + 2*h = 10. Let r(g) = -3*g + 3. Let t be (-115)/25 - (-3)/5. Let y be r(t). What is the greatest common factor of y and h?
5
Let w = -33 + 54. Calculate the greatest common factor of w and 105.
21
Let l(h) = h**2 + 7*h - 10. Suppose -36 = 2*b + 2*b. Let o be l(b). Let s(k) = -4*k. Let u be s(-2). What is the highest common divisor of o and u?
8
Let s = 16 - 11. Calculate the greatest common divisor of s and 40.
5
Let l = 7 + -3. Suppose -3*n - 2*s + 212 = 2*s, -l*s = 5*n - 356. Calculate the highest common divisor of n and 24.
24
Suppose -161 = -4*o + 187. Let v = o - 24. Suppose 5*y - 81 = -3*u, -2*u + y = u - v. What is the highest common factor of 176 and u?
22
Let b(o) = -2*o + 14. Let j be b(0). Calculate the greatest common factor of 2 and j.
2
Let d(q) = q**2 + 6*q + 11. Let o be d(-6). What is the highest common divisor of 77 and o?
11
Suppose -2*h = s + s + 136, 10 = -5*h. Let r = -30 - s. Let g be (-4)/(-2) + 10 + -3. Calculate the greatest common divisor of g and r.
9
Let h(d) = 4*d**2 + 2 + d - 2*d**3 - 2*d + 5*d. Let a be h(-2). What is the highest common divisor of a and 65?
13
Let l = -94 + 61. Let g = -15 + l. Let x be (g/(-4))/(2 + -1). What is the highest common factor of 2 and x?
2
Let b(c) = -c + 9. Let p be b(-7). Suppose 4*u - 100 = 2*r, -3*r - r = u - p. What is the highest common factor of 6 and u?
6
Let o(a) = -5*a**2 - a. Let j be o(1). Let d = -6 - j. Let f be 47 - (-1)/1 - d. Calculate the highest common factor of 32 and f.
16
Let o(p) = p**3 + 8*p**2 + 9*p - 10. Let r be o(-5). Calculate the greatest common divisor of 20 and r.
20
Let j be -2 - (-8 - -1) - 0. Let s be 1*3/(-9)*-6. Suppose s*y + 2*y = 0, -3*y = -j*f + 175. What is the highest common divisor of 14 and f?
7
Suppose 77 = 3*q + 29. Let m = q + 11. Calculate the greatest common divisor of m and 18.
9
Let v = -14 - -74. What is the greatest common factor of 12 and v?
12
Let p = -26 + 76. Calculate the highest common factor of 20 and p.
10
Let d(q) = 3*q**3 + q**2 + q. Let g be d(2). Let u be 11 - ((-2 - -2) + 1). What is the highest common divisor of g and u?
10
Let d be (52/8)/(1/2). Suppose 2*i = i + 2. Suppose 0 = o - 4, i*o - 24 = -2*q + 218. Calculate the greatest common divisor of d and q.
13
Let w = -119 - -123. What is the greatest common factor of w and 16?
4
Let i(z) = z - 5. Let m be i(7). Calculate the highest common factor of m and 22.
2
Suppose 0*g + 5*l = 5*g - 25, 4*l + 2 = -5*g. Suppose g*v - 192 - 28 = 0. What is the highest common divisor of v and 10?
10
Let v = -8 + 20. Suppose -4 + 10 = 2*i. Suppose 0 = i*a + 3*n - 90, 0*a - 2*a + 60 = -3*n. Calculate the greatest common divisor of v and a.
6
Suppose -24*o + 20 = -23*o. Suppose -2*n + 5*u = 2*u - 169, -3*n = -5*u - 255. Calculate the greatest common factor of o and n.
20
Let f = -172 - -178. What is the greatest common factor of 114 and f?
6
Let y(o) = -o**3 - 4*o**2 + 3. Let q be y(-4). Suppose 0 = q*g + 2 - 5. Let j = 4 - 0. What is the greatest common factor of j and g?
1
Let t be 76/14 - 8/(-14). Let x(z) = z**3 - 6*z**2 - 4*z - 1. Let a be x(5). Let q be a/(-8) - (-1)/4. Calculate the highest common factor of q and t.
6
Let k = 1 - -1. Let a(t) = -t**3 + 2*t**2 + 2*t - 1. Let p be a(k). Calculate the greatest common divisor of 27 and p.
3
Let u = -2 + 20. What is the greatest common divisor of u and 45?
9
Suppose 2*v - 50 = 8. Suppose -a - 88 = -4*a + 4*n, 0 = a - n - v. Suppose 0*m - 2*z = 4*m - 30, 4*z = -m + 11. Calculate the highest common divisor of a and m.
7
Let x = -14 - -21. Suppose 5*u + 3 = 4*r, -2*r + x = u + r. Calculate the highest common divisor of 5 and u.
1
Suppose -22*f = -5*f - 561. Calculate the highest common divisor of f and 9.
3
Suppose -5*p = 4*b - 105, -4*p + 5*b + 44 - 1 = 0. Calculate the highest common divisor of p and 68.
17
Suppose 3*w - 43 = 2*q, -q + 11 = -w + 26. Calculate the highest common divisor of w and 104.
13
Let u(i) = 3*i + 1. Let p be u(-2). Let t be (-2 - -4) + (2 - p). Calculate the greatest common divisor of t and 81.
9
Suppose -2 = -y - 0*y. Suppose 4*u - 3*o - 44 = -0*o, 4*o = y*u - 32. What is the highest common factor of u and 56?
8
Let n(w) = 9*w**3 - 2*w**2 - 1. Let f be n(2). What is the greatest common factor of 9 and f?
9
Let h be 3/12 + 1/(-4). Suppose -3*q - q + 140 = h. What is the highest common factor of 14 and q?
7
Suppose -2 = -j - 13. Let m be (-1)/3 - 146/(-6). Let n = m + j. Calculate the greatest common factor of 104 and n.
13
Suppose -72 = -5*d - 3*f, -4*f = 5*d - 2*d - 52. What is the greatest common divisor of d and 12?
12
Suppose -3*i + 0*i - 33 = -2*u, 4*u = -4*i + 36. Calculate the greatest common factor of 24 and u.
12
Let d = 2 - -6. Suppose 2*i - 3*i = -v + 86, 4*i - 448 = -5*v. What is the greatest common factor of v and d?
8
Let c be 2*1/(-2) + 70. Let g be (2 - 2) + (2 - -4). Let w be (2/g)/((-2)/(-138)). Calculate the highest common factor of c and w.
23
Let u be (-2 + (-20)/(-8))*0. Suppose -2*k - 5*m - 3 = -8, u = -2*m - 2. Calculate the greatest common divisor of k and 25.
5
Suppose 6*t - 369 = 471. What is the highest common factor of 28 and t?
28
Suppose 5*s - 19 = n, -13 = -2*s - 0*s - 5*n. Let v = s - 3. What is the greatest common divisor of v and 2?
1
Suppose 0 = 3*v - 5*v + 28. Suppose 4*i + 0*i - 8 = 0. Suppose i*s - 17 = f + 11, 0 = 5*f. Calculate the greatest common factor of v and s.
14
Suppose 4*m + 5 - 21 = 3*g, 0 = -5*m - 3*g + 47. Suppose -114 = 4*z - m*z. What is the greatest common divisor of 19 and z?
19
Let n(w) = w**3 - 8*w**2 - 8*w - 4. Let i(f) = f**2 - 2*f + 1. Let v be i(4). Let u be n(v). Calculate the greatest common divisor of 20 and u.
5
Suppose 13*c - 8*c - 80 = 0. Calculate the greatest common factor of c and 2.
2
Let w(y) = -5*y**3 - 2*y**2 - 3*y. Let z be w(-3). Suppose 4*l = 2*l + z. Let j = 13 - 4. Calculate the highest common factor of j and l.
9
Let b be (-20*10/4)/(-1). Let j = -30 + 33. Suppose -j*i + 56 - 8 = 4*r, 25 = 2*i + 5*r. What is the greatest common factor of i and b?
10
Suppose 3*b - 240 = -0*b. Suppose -6*j + 5*j + 3*y + 20 = 0, 4*j - 132 = -y. Calculate the highest common factor of j and b.
16
Let s = -2 + 15. Let q = 30 + s. Suppose 5*y - 30 = 2*l + q, 3*y = -2*l + 47. Calculate the greatest common factor of 75 and y.
15
Suppose 2*c - 9 = -37. Let p = 13 - c. What is the highest common factor of 9 and p?
9
Let b be 0 + 67 + 2/(-1). Let v(y) = -y**2 - 8*y - 2. Let l be v(-8). Let f(z) = 7*z**2 - 2. Let w be f(l). What is the greatest common divisor of w and b?
13
Suppose 15 = 9*t + 6. Calculate the highest common divisor of 5 and t.
1
Let u(c) = c**2 + c. Let p(v) = -11*v**2 - 7*v - 2. Let r(l) = -p(l) - 6*u(l). Let i be r(3). Calculate the greatest common divisor of i and 10.
10
Let u = 23 + -14. Let z(b) = 3*b. Let k be z(u). Calculate the greatest common divisor of 3 and k.
3
Let o = 14 + -20. Let x be o/(-4) - (-185)/10. Calculate the greatest common factor of x and 20.
20
Let y(n) = 1 + 4 + 2*n - n. Let s be y(7). What is the highest common divisor of 24 and s?
12
Suppose -3*z = 0, -n + 5*n - 2*z = 60. Suppose 4*f = f + 5*r - 104, -4 = -4*r. Let j = -27 - f. Calculate the highest common factor of j and n.
3
Let n be -1 + 2 - (-10 + 5 - -4). Calculate the highest common di