3
Let a = 7 + 6. Suppose a*v - 11*v = 112. Calculate the greatest common divisor of 56 and v.
56
Suppose -2*k - 3*w = -325 - 145, 0 = 5*k + 2*w - 1175. What is the highest common factor of k and 47?
47
Suppose 0 = -4*f - 12 + 132. Suppose -w - 4*r - 7 = 0, 2*w - 6 = r + r. Suppose -w - 29 = -2*t. Calculate the greatest common factor of t and f.
15
Suppose 0 = -10*m + 145 - 25. Calculate the highest common divisor of 52 and m.
4
Let d be 4/(-2) - (-48)/(-3). Let x be 1*(-9)/(d/20). Let j = 12 - -13. What is the greatest common factor of x and j?
5
Let o(t) = -3*t**3 + 6*t**2 - 4. Let m(d) = 3*d**3 - 6*d**2 - d + 3. Let h(i) = 4*m(i) + 3*o(i). Let l be h(3). What is the highest common divisor of l and 3?
3
Let x be 2 - (2 - 1)*1. Suppose d = x - 4. Let w be d + 4/(12/999). Calculate the highest common divisor of w and 30.
30
Let r(x) = 96*x**2. Let z be r(1). Let g = 140 - z. Let b = 74 - g. Calculate the highest common divisor of b and 15.
15
Let x be 4/(-10) - 420/(-50). Suppose 5*l - 4*y - 28 = 0, 0 = -3*l - 3*y - 0*y + 33. What is the greatest common divisor of x and l?
8
Suppose 4*t + 28 = 0, 5*x - 55*t = -59*t + 82. Suppose 5*w - 44 = 3*w. What is the greatest common divisor of w and x?
22
Let i(o) = o**3 + 8*o**2 + 8*o - 20. Let k be i(-6). Suppose -k*x = -114 + 90. Calculate the highest common divisor of x and 66.
6
Let u be 0 - -1 - (-1*179)/1. Suppose 12*t - u = 72. What is the greatest common factor of 21 and t?
21
Let m(z) = 2*z + 74. Let a be m(17). Let q = 172 - a. Calculate the highest common factor of q and 4.
4
Suppose -5*c + 2*c - 4*o = -12, o - 3 = -2*c. Suppose -76 = -4*m - c. Calculate the highest common factor of 247 and m.
19
Let o be ((-186)/(-8))/(6/8). Let u(a) = 3*a**2 + o - 16 + a - 16 - a**3. Let l be u(3). Calculate the highest common divisor of 4 and l.
2
Let w(g) = 43*g - 2. Let l = 4 - 2. Let o be w(l). Suppose -5*d = -2*d - o. What is the highest common divisor of 4 and d?
4
Suppose -13 = 10*f - 33. Let u(h) = h**3 + 6*h**2 - 2*h - 7. Let z be u(-6). Suppose -z*p + 8 = -4*p. Calculate the highest common factor of f and p.
2
Let y = 3 + 6. Let r(h) = h**2 - 11*h - 8. Let z be r(13). Calculate the greatest common factor of z and y.
9
Let l(x) = 40*x**2 - 11*x + 10. Let a be l(1). Calculate the highest common divisor of a and 6.
3
Suppose -3*x + 516 = 105. Let y = x - 67. Let w = 1297 + -1283. Calculate the greatest common factor of y and w.
14
Let s(m) = m + 33. Let u be s(0). Let o = -1796 - -1961. What is the greatest common divisor of o and u?
33
Suppose -20*l = -15*l + 2*a - 67, 5*a + 50 = 2*l. What is the greatest common factor of l and 960?
15
Let w(g) = -7*g**2 + 54*g + 16. Let l be w(7). Calculate the greatest common divisor of l and 136.
17
Suppose 0 = -4*p + 2*y + 3*y + 763, -2*p - 4*y = -362. Suppose p = 2*r + 3. Calculate the greatest common divisor of r and 23.
23
Let v = 239 - 207. Calculate the greatest common divisor of 160 and v.
32
Suppose -4*n = 4*o - o - 124, 2*o - 120 = -4*n. Suppose 756 = n*p - 24*p. Calculate the greatest common divisor of 21 and p.
21
Let u(o) = 4*o**3 + o**2 + o - 3. Let z(t) = t**3 - 5*t + 5. Let c be z(2). Let k be u(c). Calculate the highest common divisor of 13 and k.
13
Suppose 46 = 2*l + 2*m - 128, -6 = 2*m. Let j = -27 - -51. Let v = j + -9. What is the greatest common factor of l and v?
15
Let x = -191 - -194. What is the highest common divisor of 33 and x?
3
Suppose 11*r - 195 = 16*r. Let p = r + 50. Calculate the greatest common factor of p and 99.
11
Let v be (-75)/30*52/(-5). Suppose 5*o - o - 3*d - 52 = 0, -o = -4*d - v. What is the greatest common factor of o and 20?
10
Let s(i) = -2*i**2 - 10*i + 10. Let d(a) = a - 1. Let u(j) = -12*d(j) - s(j). Let c = -314 + 317. Let z be u(c). What is the highest common factor of z and 126?
14
Suppose 11*w - 10 = 9*w. Suppose -w*r = -6*r + 7. Calculate the greatest common factor of r and 112.
7
Suppose -120 = 4*u - 0*u. Let v be (36/10)/((-12)/u). What is the highest common factor of v and 63?
9
Let r = -28 + 130. Suppose 0 = -2*b + r + 118. Suppose 4 = y - 6. Calculate the greatest common divisor of y and b.
10
Suppose -5 = -v - 2. Suppose v*c = 2*c + 3. Suppose 2*h - 1 - 9 = 0, -c*h = -3*r + 129. What is the greatest common factor of 32 and r?
16
Let t be 1425/2*(-124)/(-186). Calculate the highest common divisor of 50 and t.
25
Let m = 30 + -5. Let b be (-1 + -1 - -1) + m. Let c = 1 + 2. What is the greatest common factor of b and c?
3
Suppose 9*w - 6*w + 6 = 0, 2*s = 3*w + 604. Calculate the greatest common divisor of s and 23.
23
Suppose -6*x - x + 14 = 0. Suppose 0 = -5*c - 2*z + 105, -5*c + 2*z + 79 = -x*c. What is the greatest common divisor of c and 253?
23
Suppose 55*a + 4 = -j + 58*a, 5*j = a + 36. What is the greatest common factor of 8 and j?
8
Let w(m) = -8*m - 28. Let i be w(-11). Let s = 91 - 43. Suppose 2*n + 0*n - s = 0. What is the greatest common divisor of i and n?
12
Let b be -53*(-1)/1*1. Suppose -b = -5*z - 4*a, -2*a = -0*z + z - 7. What is the highest common factor of z and 39?
13
Let o(k) = 78*k**2 + 55*k + 245. Let z be o(-5). What is the highest common factor of z and 60?
60
Let n = -59 - -73. Let u be (2/(8/n))/(9/306). Calculate the greatest common divisor of 17 and u.
17
Let h = -94 + 184. Let k = -7 - -15. Suppose -3*q = k - 35. What is the highest common divisor of h and q?
9
Let c be (-4)/(-10) + 115/25. Suppose a = 3 - 2, -l = -c*a + 3. What is the greatest common factor of 14 and l?
2
Let g(w) = -95*w**3 + w**2 - w - 1. Let v be g(-1). Suppose 0 = 2*x - 16. Suppose -x*r + 48 = -4*r. What is the greatest common factor of v and r?
12
Let m = 19 + -3. Let o(d) = -d**2 - d + 32. Let j be o(0). Calculate the highest common factor of j and m.
16
Suppose 18 = 6*m - 966. Calculate the greatest common factor of m and 12.
4
Let g(q) = q**3 + 22*q**2 - 169*q - 8. Let n be g(-28). Let w = -10 + 20. Calculate the greatest common divisor of n and w.
10
Let t = 1311 + -1284. What is the highest common factor of t and 297?
27
Let i = -54 - -82. Let r(q) = 2*q**2 + 43*q + 180. Let g be r(-16). What is the highest common factor of g and i?
4
Let a(x) = x**2 - 3*x. Let q = -10 - -14. Let l be a(q). What is the highest common factor of 24 and l?
4
Let h(k) = -k + 8. Let d be h(3). Suppose -d*s + 300 = -0*s. Calculate the greatest common divisor of 40 and s.
20
Suppose -4*a + 12 = 0, -d + 68 + 7 = 5*a. Calculate the highest common factor of d and 50.
10
Suppose -q - 4*f + 15 = f, 0 = -5*f - 25. Suppose 60 + q = 10*y. What is the greatest common divisor of y and 15?
5
Let a(z) = 2*z**3 + 21*z**2 + 32*z + 12. Let o be a(-8). Suppose -5*n - 2*s = -85, 3*n - 4*s + s - 72 = 0. Calculate the greatest common divisor of n and o.
19
Let d be 4*3/(-48)*-20. Let z = 2 + 0. Calculate the highest common divisor of d and z.
1
Let q be (-4)/14 - 340/(-14). Suppose -8*w + 6*w = 0. Suppose -g + 8 + 8 = w. Calculate the highest common factor of q and g.
8
Let i be 0 - (2/(-6) - (-636)/(-9)). Let w be (1 + 0)*(6 - 1). Suppose w*d - i + 6 = 0. Calculate the highest common factor of d and 13.
13
Suppose -7*n + 55 = -2*n. Suppose 564 = 17*t - 14*t + 3*f, -f - 560 = -3*t. What is the greatest common divisor of n and t?
11
Suppose 0 = -7*h + 2*h - 45. Let r be (-942)/h - 4/6. What is the greatest common divisor of 13 and r?
13
Suppose -40*p = -72906 - 11334. What is the greatest common factor of 156 and p?
78
Suppose 7*r - 193 - 31 = 0. Let t(c) = -c - 1. Let s be t(-3). Suppose g = -4*d + 63, 2*d - 14 = d - s*g. What is the highest common divisor of d and r?
16
Let h = 115 - 67. Suppose 0 = -c - 5*l + 32, 4*l + 32 = c + 5*l. Calculate the greatest common divisor of h and c.
16
Suppose -11*v + 1294 = -1731. Calculate the greatest common divisor of v and 75.
25
Let r = 2024 - 1999. What is the greatest common factor of r and 175?
25
Let y(p) = -p**2 - 3*p + 5. Suppose 5*r = -4*l - 31, -2*r = 4*l + 2*r + 28. Let z be y(l). Calculate the highest common factor of z and 11.
1
Suppose 20 = -3*k + 8*k. Let f be (-8)/(-24) - 51/(-9). Suppose -f = 2*q - 22. Calculate the highest common factor of q and k.
4
Let x = 9 + -2. Let u be 3/(-18)*-2*186. Let z = -6 + u. What is the highest common divisor of x and z?
7
Let q(b) = b**2 - 6*b - 