1
Let q(y) = -y**3 + 10*y**2 - 3*y - 16. Let s be q(7). Suppose 86 = 2*k - s. What is the greatest common divisor of 14 and k?
14
Suppose -p - 3*h - 3 = -62, 5*p - 255 = 5*h. Let g = 4 + p. What is the highest common divisor of 19 and g?
19
Let y be ((-3)/(-12)*4)/(1/18). Let d = y - 17. What is the greatest common factor of 5 and d?
1
Suppose 109 = 5*h - 91. Suppose 117 + 252 = -3*w. Let g = -83 - w. What is the highest common divisor of g and h?
40
Let h(n) = -6*n + 380. Let m be h(56). What is the highest common divisor of m and 2684?
44
Suppose 0 = -4*n + 3*g + 396, 0 = -4*n - 4*g - 24 + 448. What is the greatest common divisor of 136 and n?
34
Suppose -3311 = -3*q - 4*q. Let d be 43 - (0 + -3 + 3). Calculate the highest common factor of q and d.
43
Suppose -2*a - 5*r = -4*r - 152, 5*r = 5*a - 410. Let k = 85 + -46. Calculate the greatest common divisor of a and k.
39
Let p = -3 - -7. Suppose -u - 2 = -p. Suppose 48 = 4*g - u*n, -g - 2*g + 2*n = -34. Calculate the highest common divisor of 112 and g.
14
Let y(f) = 116*f**2 + 45*f - 90. Let c be y(2). Calculate the greatest common divisor of 112 and c.
16
Suppose 207 = 15*j - 168. What is the highest common factor of 1 and j?
1
Suppose 0 = -5*g - 5*c + 15, 5*g - 17 = -c - 2. Suppose g*f - 4*t = 7*f + 4, 0 = -2*f + 3*t + 13. Calculate the greatest common factor of 10 and f.
2
Let z(o) = -o**2 - 11*o + 4. Let d be z(-10). Let x = d + -2. Suppose 0*n + 2*n = x. Calculate the highest common divisor of n and 6.
6
Suppose -4*b - 9 + 21 = 0. Suppose -x + r = -0 - 13, -2*x = b*r - 6. What is the highest common divisor of 18 and x?
9
Let k(c) = -2*c**2 + 30*c - 30. Let d be k(11). Calculate the greatest common factor of 145 and d.
29
Suppose -4 = -7*j + 10. Suppose -j*s = -m - 7*s, -2*m = -4*s - 56. What is the highest common divisor of m and 5?
5
Let w be (-2)/(-4)*1*-8. Let h be -5 + (59 - -1) + w. What is the greatest common divisor of h and 68?
17
Suppose -5*a + a + 832 = 0. Let r be ((-8)/(24 + -23))/((-2)/4). What is the greatest common factor of a and r?
16
Let d(w) = -w**2 + 20*w + 13. Let f be d(19). Suppose 2*a - 148 = -4*z, 0 = 4*a - 3*z + 141 - 470. What is the greatest common factor of f and a?
16
Let q(s) = 6*s**2 + 49*s - 15. Let i be q(-9). What is the greatest common divisor of i and 1?
1
Let p = 1408 - 1366. What is the greatest common divisor of 672 and p?
42
Let w(j) be the second derivative of j**4/4 - j**3/3 + 2*j**2 + j + 11. Let b be w(2). What is the highest common divisor of 84 and b?
12
Let g be 75*((-3)/(-5) - (-3)/(-15)). Let k be (-4)/10 - ((-485)/25 + 1). What is the highest common divisor of g and k?
6
Let y(h) = -h**3 + 8*h**2 - 14*h. Let i be y(5). Let m = 10 + -8. Suppose 3*z + 123 = 3*f, m*f + 15 - 85 = 5*z. Calculate the highest common divisor of i and f.
5
Suppose 40*o - 208 = 38*o. Suppose -6*u + o = -22. Calculate the highest common factor of u and 84.
21
Suppose 0 = -2*t - 0*d - 3*d + 65, 0 = -2*t - 4*d + 60. Let o = -251 + 351. Calculate the highest common divisor of o and t.
20
Let t = -13 - -12. Let s be -3*(3 - 4) - (t + -12). Let z be 30/9*24/10. What is the highest common factor of s and z?
8
Let q(p) = 2*p**2 + 4*p + 6. Let m be q(3). What is the highest common divisor of m and 1197?
9
Let v = 239 - 51. Suppose 4*a - 3*t = v, 4*a + 7*t = 3*t + 160. Calculate the greatest common divisor of 66 and a.
22
Suppose 13 = h - 5*o, 2*o + 4 = h - 3. Let f be h/((-18)/(-182)) - 8/24. What is the highest common divisor of 15 and f?
15
Let t = 688 - 571. Calculate the greatest common factor of t and 39.
39
Let n = -191 + 223. What is the greatest common factor of n and 16?
16
Suppose 348 = 2*h + 272. Calculate the highest common divisor of 304 and h.
38
Let z = 4098 + -2993. Calculate the highest common divisor of 65 and z.
65
Suppose -5*p + 3*q = -3*p + 10, -4*q = 4*p - 20. Suppose 7*i - 279 = p. Calculate the highest common divisor of 10 and i.
10
Let a = -200 + 348. Let f = a - 125. Calculate the greatest common factor of f and 161.
23
Suppose 0 = 3*h + 10*f - 6*f - 1303, -h + 2*f = -451. Calculate the highest common factor of 9 and h.
9
Suppose 0 = -3*t + 4*o + 5, t - o + 3*o - 5 = 0. Suppose -5*w - 91 = -3*h, -w - 46 = -t*h - 5*w. What is the greatest common factor of h and 22?
22
Let t = -35 + 45. Suppose -t*z + 295 = 45. What is the highest common factor of 100 and z?
25
Let q = -1307 - -1427. What is the highest common divisor of 456 and q?
24
Suppose -5*f + 13 = -2. Let a be -3 - (f*-11 - 3). Let j be (6 - 4)*6/4. What is the highest common divisor of j and a?
3
Suppose 23*i = 19*i - 256. Let r = 68 + i. What is the highest common factor of 8 and r?
4
Suppose -5*a - 1107 = -2*a. Let c be a/(-33) - (-4)/(-22). Let y = c + -10. What is the greatest common divisor of y and 11?
1
Let m = -167 - -285. Calculate the greatest common divisor of 177 and m.
59
Let o(f) = f**3 - 13*f**2 + 6*f - 36. Let k be o(13). Calculate the greatest common factor of 18 and k.
6
Let w(v) = 28*v - 402. Let t be w(15). What is the greatest common divisor of 30 and t?
6
Suppose -3609*u = -3620*u + 374. Calculate the highest common divisor of 119 and u.
17
Suppose -5*j + 2*y + 12 = 92, -4*j + 5*y = 64. Let h = -10 - j. Suppose 2*b + 4*a + 4 = 0, 4*b + h*a - a = 7. Calculate the highest common divisor of b and 40.
8
Let n = -10 + 8. Let r be (-3)/6 + (-51)/n. Calculate the highest common factor of r and 5.
5
Let m = 107 + -152. Let y be 20*(m/12)/(-5). Let u be 1356/y - 2/5. Calculate the greatest common factor of u and 36.
18
Suppose -3*b + 1963 = 5*j - 1496, 1390 = 2*j - 2*b. Calculate the greatest common factor of j and 63.
63
Let a = 56 + -17. Suppose 0*y + a = 3*y. Let t(j) = -144*j - 1. Let x be t(-1). What is the greatest common factor of x and y?
13
Suppose -4*f - 3*g + 12 = -5*g, -2*f + 6 = g. Suppose -4*l - 3*n + 8*n + f = 0, 4*l + 4*n = 48. Calculate the greatest common factor of l and 49.
7
Suppose 5*m - 11 - 5 = -2*l, -m = 0. Let w(p) = 2*p + 6. Let r be w(l). Let t(o) = 15*o + 56. Let g be t(8). Calculate the greatest common factor of r and g.
22
Let r = 1102 + -715. What is the highest common divisor of r and 43?
43
Let s be 28 - (0 - 1)/(16/(-64)). What is the greatest common factor of 56 and s?
8
Let j(f) = f**2 + 7*f + 8. Let i = -15 - -7. Let l be j(i). Let s be 28/((-30)/8 + 4). Calculate the greatest common factor of s and l.
16
Suppose 2 + 7 = 3*s. Suppose 5*o - 3*j = 476 - 147, 2*o - 5*j - 143 = 0. Let c = o + -37. What is the greatest common factor of s and c?
3
Suppose -2*q - 4*b = -7*b + 91, 5*q - 5*b = -235. Let f be q/10*8/(-10). Calculate the highest common factor of 20 and f.
4
Suppose -5*p = 4*g - 23, 16 = 5*g + 4*p - 6. Suppose 0 = -2*f - 3*a + 8, 3*f - 4 = g*f + 3*a. What is the greatest common factor of 32 and f?
4
Let c(u) = u**3 + 9*u**2 - 3*u. Let d be c(-6). Let y = d - 84. What is the highest common divisor of 21 and y?
21
Let y(u) = -2*u**2 - 15*u + 12. Let m be y(-8). Let l be 76 - -2*(1 - 6/m). Calculate the greatest common divisor of l and 45.
15
Suppose 36 = 3*l - 5*x, 5*x - 15 = -0*x. Suppose 3*v = 2*v + 220. Let q = v + -135. Calculate the greatest common factor of q and l.
17
Let i be (1 - (-12)/(-8))/((-3)/510). Calculate the greatest common factor of 35 and i.
5
Let q = -31 - -136. Calculate the greatest common factor of 21 and q.
21
Let r = 103 + -70. Suppose -7 = 2*p + 5*q + 19, -31 = 5*p + 4*q. Let h be 0/p - -5 - 2. Calculate the highest common factor of r and h.
3
Let c(q) = -q**3 - 13*q**2 - 23*q - 75. Let t be c(-13). Calculate the highest common factor of t and 84.
28
Let l be (35 + 1)/1 + 3. Let m = -13 + l. Calculate the highest common divisor of m and 52.
26
Let b = 105 - 97. Calculate the greatest common factor of b and 200.
8
Suppose 4 = -5*q + 494. What is the highest common factor of q and 2?
2
Let d = -355 + 430. Let q be (-28)/(-5) + 8/20. Let p be (40/q)/((-4)/(-18)). What is the greatest common divisor of d and p?
15
Let b = -103 + 42. Suppose -3*v - 15 = 4*s, 6*v = -4*s + 2*v - 16. Let u be b/(-2) - s/(-6). Calculate the highest common divisor of 15 and u.
15
Let x be (4/(-12))/(2/(-330)). Suppose 12 = -4*f + 7*f. Suppose -3*h - 21 = -5*m - 2*h, -h = -f. What is the greatest common factor of x and m?
5
Let g be (