Let i(b) = b**3 - 4*b**2 + 8*b - 23. Let y be i(5). What is the highest common divisor of c and y?
6
Let n(s) = -s**3 - 12*s**2 - 20*s - 68. Let a be n(-11). Calculate the highest common divisor of 62 and a.
31
Let s = 7 - 3. Suppose 2*f + f = -4*u + 28, -f = 4*u - s. Suppose 8*m = 9*m - f. What is the highest common factor of m and 3?
3
Let t(x) = x**2 + 7*x - 16. Let d be t(-7). Let k be (-7 + 6)*d + (0 - 4). Let q be (-6)/(-27) + 644/18. What is the greatest common divisor of q and k?
12
Let t(j) = -5*j - 2. Let y be t(-3). Let q = -302 + 471. What is the greatest common divisor of y and q?
13
Let u(k) be the first derivative of k**3/3 + 11*k**2 + 46*k - 2. Let q be u(-21). Calculate the highest common factor of q and 5.
5
Suppose 3*r + 4*q = -1406, 0 = 2*r - 4*r - 3*q - 938. Let s = r + 698. What is the greatest common divisor of s and 29?
29
Let y(h) = 2*h**2 - 31*h - 163. Let v be y(-7). Let g = 50 + -31. What is the greatest common factor of v and g?
19
Suppose -4*v + 13 = -27. Let g be 1 - 1 - (-3 - 47). Calculate the highest common divisor of v and g.
10
Let m(h) = -h**2 + 6*h + 8. Let y be m(7). Suppose -3*t + 4*t = -y. Let k be t/(10/(-3) - -3). Calculate the highest common factor of 21 and k.
3
Let i = 8 - 0. Suppose -4*k + 14 = 3*s, -2 = -k - 4*s + i. Let c be (1/(-2))/((-2)/4). Calculate the highest common divisor of k and c.
1
Suppose 504 - 69 = 15*l. Calculate the greatest common divisor of l and 58.
29
Suppose 2*f - 284 = -264. What is the highest common factor of f and 16?
2
Let r be (-4 - 11)*238/(-85). Suppose l - 3*l + 36 = 0. Calculate the greatest common factor of r and l.
6
Let h(x) = -x**2 + x + 1. Let k be h(-2). Let q be 24/40 + (-2)/k + 11. What is the greatest common divisor of q and 96?
12
Let z(t) = t**2 - 7*t - 16. Let v be z(-5). Suppose v = -15*p + 119. Calculate the highest common factor of 45 and p.
5
Let f be 4 + (1 - (1 - -2)). Let l = 10 - f. Suppose 0 = 7*w + 31 - 423. What is the highest common factor of w and l?
8
Let h = 113 - 101. What is the greatest common factor of h and 12?
12
Suppose 0*s + 45 = 3*s. Let d(p) = -p**2 - 3*p + 4. Let g be d(6). Let m = 155 + g. Calculate the greatest common divisor of m and s.
15
Suppose -5*l + 24 = -3*o, 2*l + 5*o + 21 = 4*l. Suppose 0 = -2*c - l*c + 200. What is the highest common factor of 200 and c?
40
Suppose -3*w = -w - 2*t - 6, 4 = 4*t. Suppose 116 = w*a + 2*d, 0 = -4*a + 5*a + 4*d - 15. Calculate the greatest common factor of 279 and a.
31
Suppose 3*k = 2*g - g - 764, 0 = -3*g + 4*k + 2297. Calculate the highest common factor of g and 59.
59
Suppose 5*d + 1 = 16. Let b(q) = 3*q**2 - 7*q + 4. Let s be b(4). What is the greatest common factor of s and d?
3
Suppose -a + 6*a = 25, -10 = 5*r - 2*a. Suppose 0 = -2*g - 2*z + 4*z + 12, -5*g - 2*z + 16 = r. Calculate the highest common divisor of 8 and g.
4
Let q = -77 - -72. Suppose -5*n - 62 = 13. Let j be (-6)/n - 958/q. Calculate the greatest common factor of 24 and j.
24
Suppose 617 = -43*q + 1563. Calculate the highest common divisor of 374 and q.
22
Suppose 8 = 4*i - 2*i. Let l be -2 + (-1 - (-24)/i). Suppose -2*w + 2*g = -0*g - 198, 0 = -l*w + 5*g + 305. What is the greatest common divisor of 38 and w?
19
Let a be 3 - (-105)/(-33) - 84/22. Let w(s) = -s**2 - 6*s + 5. Let d be w(a). What is the greatest common divisor of 13 and d?
13
Suppose -7*v + 10 = -12*v, 5*k = v + 142. Calculate the highest common factor of k and 21.
7
Let r = 290 + -285. Calculate the greatest common factor of r and 80.
5
Suppose -247 - 353 = -3*u. Let i = -168 + 72. Let p = u + i. What is the greatest common factor of p and 13?
13
Let p = 170 - 98. What is the greatest common factor of 24 and p?
24
Let h be 2/(16/932)*2. Suppose 8*m - 527 = h. What is the greatest common divisor of m and 19?
19
Suppose -6*h = 23*h - 928. What is the greatest common divisor of 16 and h?
16
Let d(m) = -m**3 + 7*m**2 + 6*m + 18. Let v be d(8). Suppose v*x - 225 = -b, 2*b + 4*x = 5*x + 425. Calculate the greatest common divisor of b and 43.
43
Suppose 732 = 3*g - 4*i, -10*g - 5*i - 233 = -11*g. What is the highest common divisor of g and 16?
8
Let j = -1360 + 1365. Let f(d) be the second derivative of 5*d**4/12 + d**3/2 - d**2/2 + d. Let o be f(2). What is the greatest common factor of j and o?
5
Let u(g) = 14*g + 2. Let q be (27/(-12))/((-3)/12). Let j be u(q). Let l = 227 - j. What is the highest common divisor of l and 9?
9
Suppose 1153*k - 1151*k - 48 = 0. Calculate the highest common divisor of k and 63.
3
Let g be 3830/25 - (-18)/(-15). What is the highest common divisor of g and 380?
76
Let n(b) = -5*b + 84. Let i(u) = -14*u + 253. Let z(h) = 4*i(h) - 11*n(h). Let j = 31 - 31. Let g be z(j). Calculate the greatest common factor of g and 11.
11
Let f be ((-3)/2)/((-3)/124). Suppose -39*o + 49*o = 310. What is the highest common divisor of o and f?
31
Suppose 3*v = 2*d + 821, -2*v + 497 = -4*d - 37. Suppose -3*w + 169 = -0*r - r, -3*r + v = 5*w. Let i = 9 + -1. What is the greatest common factor of i and w?
8
Suppose 2*g - 7*f = -4*f + 22, -36 = -5*g - 2*f. Let v = 62 - 21. Let r = v - 29. What is the greatest common divisor of g and r?
4
Let m(k) = -4*k - 122. Let o be m(-36). Calculate the highest common factor of 242 and o.
22
Let d(p) = p**3 - 6*p**2 + 5*p + 3. Let f be d(6). Suppose 39 = 3*c - f. Calculate the greatest common factor of 6 and c.
6
Let n be 4/(-8) + (-69)/(-2). What is the greatest common divisor of n and 51?
17
Suppose -3*k + 103 = n - 6*k, -10 = 2*k. Calculate the highest common divisor of 2024 and n.
88
Suppose 76*c + 8 = 74*c. Let j = -49 + 21. Let t = c - j. What is the highest common factor of 8 and t?
8
Suppose -5*j = -f + 52, 5*j + 108 = 3*f + 2*j. Calculate the highest common divisor of 1 and f.
1
Let g(o) = 7*o - 3. Suppose -4*u + 9 = -p - 3, -2*u = -2*p. Let j be g(p). Calculate the highest common factor of j and 225.
25
Let q(s) = -46*s - 268. Let n be q(-13). Calculate the greatest common factor of n and 10.
10
Suppose 94 = 4*z + 2*p, 0 = 3*z - 32*p + 31*p - 78. What is the highest common factor of z and 285?
5
Let y = -356 + 382. Let u(i) = -18*i - 4. Let s be u(-6). Calculate the highest common factor of s and y.
26
Let r(m) = -2*m - 7. Let t be r(-12). Suppose t = 6*n - 1. Calculate the greatest common factor of n and 24.
3
Let o = 1121 - 59. What is the greatest common divisor of o and 36?
18
Suppose 58*w - 65*w = -980. Calculate the highest common divisor of 28 and w.
28
Let v = -29 - -23. Let a(q) = q**3 + 6*q**2 - 9*q - 26. Let j be a(v). What is the highest common divisor of j and 308?
28
Suppose 5*u = -3*u + 416. What is the greatest common factor of 182 and u?
26
Let z = 896 + -876. Calculate the greatest common divisor of z and 56.
4
Let x be 24/(-64) - ((-268)/32)/1. Let v = 48 + -32. What is the highest common factor of v and x?
8
Let z be 83*2 + (-1 - -1). Let t = -248 + 248. Suppose t = 2*v - 6*v - 5*a + z, -182 = -4*v + 3*a. What is the highest common factor of 4 and v?
4
Let g(f) = 24*f + f + 21 + 0. Let w be g(3). What is the highest common divisor of w and 12?
12
Suppose 331 - 89 = 22*l. Calculate the greatest common factor of 121 and l.
11
Let s = -3 - -10. Let u(a) = -a**3 + 9*a**2 - 16*a. Let r be u(6). Suppose -r*p + s*p + 360 = 0. What is the greatest common divisor of 8 and p?
8
Let z = -7 + -2. Let s be (-106)/(z/(-2) - 4). Let d be 10/(-15) - s/3. Calculate the greatest common factor of d and 10.
10
Suppose -8 + 63 = v. Calculate the greatest common factor of v and 22.
11
Let z be (-33)/(-11) + (6 - -186). What is the highest common divisor of 75 and z?
15
Let o be (60/(-240))/((-1)/32). Calculate the highest common factor of o and 620.
4
Let l(h) be the first derivative of -7*h**4/4 + h**3/3 - h**2/2 - h + 14. Let b be l(-1). What is the greatest common divisor of 72 and b?
8
Let w be 18*16/(64/42). What is the greatest common factor of w and 168?
21
Suppose -5*i + 430 + 20 = 0. Calculate the highest common divisor of i and 225.
45
Let c be 395/(-5) - -3*1. Let p be 1/7 + c/(-7). Let t = 38 - p. Calculate the highest common factor of t and 18.
9
Suppose 3*m - 6 = 3. Let d be (-2 - -3)*(36 + 0). Let f = -34 + d. What is the highest common divisor of f and m?
1
Let u = -1276 + 1286. What