. Let q = s - 44. What is the highest common factor of 27 and q?
3
Suppose -c = 4*g + 143 + 277, 2*c + 424 = -4*g. Let q = -39 + 36. Let r be q/(-9) + g/(-12). Calculate the highest common factor of 36 and r.
9
Suppose -210 = l - 62. Let p = 150 + l. Let q be 16/10 + (-6)/(-15). What is the greatest common factor of p and q?
2
Let m = -16 + 21. Let p(s) = -165*s**3 - s**2 + 1. Let x be p(-1). Let q be (x/(-6))/(1/(-2)). Calculate the highest common factor of m and q.
5
Suppose 1399 = 13*j + 307. Calculate the highest common divisor of 264 and j.
12
Suppose 169*z - 142*z = 3024. Let l be (12/3)/((-1)/(-8)). Suppose 4*i = 2*c - l, 8*c = 3*c - 4*i + 66. What is the highest common factor of c and z?
14
Let b = -5 - -35. Suppose i + b = 4*i. Let p be (-8)/(-6)*(-3)/(-2). Calculate the greatest common divisor of i and p.
2
Let z = -38 - -40. Suppose 5 = o + 2. Let l(t) = 2*t - 4. Let p be l(o). Calculate the highest common divisor of p and z.
2
Let x be (-1 + 54/3)/1. Let i(r) = 22*r + 4 + 10 - r**2 + 6 - 2*r. Let p be i(9). What is the highest common divisor of x and p?
17
Suppose 3*n + 55 = 58. What is the highest common divisor of 32 and n?
1
Suppose 4*z - 53 - 107 = 0. Let i(q) = -2*q**2 + 21*q - 17. Let d be i(9). Calculate the greatest common factor of d and z.
10
Let v be (27/(-6))/(1/(-12)). What is the highest common divisor of v and 288?
18
Suppose -t = -v + 2*v - 71, v - t = 65. Calculate the greatest common divisor of 272 and v.
68
Suppose 0 = -3*v + 6*v - 9. Let i(s) = -13*s**2 - 49 + 70 + 3*s**v - 2*s**3 - 10*s. Let m be i(14). What is the greatest common factor of 7 and m?
7
Let b be (-1)/4 - (-92)/(-16). Let u be (b/9)/((-2)/12). Suppose -2*d - 56 + 16 = -4*p, 4*d - 64 = -u*p. Calculate the highest common factor of p and 96.
12
Suppose 0 = -2*n - 3*y + 36, 7*n - 111 = 2*n + 3*y. Let v(g) = -25*g**2 + 378*g + 60. Let w be v(15). What is the highest common divisor of w and n?
21
Let f = 7 - 5. Suppose -2 + 50 = -4*j. Let l be (-32)/j - (-1)/3. What is the greatest common factor of l and f?
1
Suppose 5*y - 1241 = -1031. Suppose 0 = -3*i - 134 + 449. Calculate the greatest common factor of i and y.
21
Suppose 0 = 2*t - 8, 5*c + t - 5*t = 464. What is the highest common divisor of c and 12?
12
Suppose -134 - 902 = -7*i. Calculate the greatest common factor of i and 1258.
74
Let v = 13 + -10. Let j be (-5)/1*(v + -2). Let i = j + 68. Calculate the greatest common divisor of 7 and i.
7
Suppose 0 = -4*o - 4*q + 32, 4*o - 3 - 5 = 2*q. Let g = 22 - o. Calculate the highest common factor of g and 6.
6
Let z(u) = u**2 - 5*u - 28. Let p be z(10). Let t be 7*((-32)/(-28) - 1) + 10. Calculate the greatest common factor of p and t.
11
Suppose 10 = -17*w + 22*w. Let x be w + (1 + 3 - -12). Calculate the greatest common factor of 126 and x.
18
Let v(j) = j**2 + 6*j - 41. Let n be v(7). Calculate the greatest common factor of 25 and n.
25
Suppose -k + 35 - 4 = 0. Suppose 3*z + 38 = -k. Let q = -18 - z. Calculate the highest common divisor of q and 5.
5
Let m be (1 - (3 + -6 + -94)) + 2. Let s be -1 - 2*84/(-8). Calculate the highest common factor of m and s.
20
Let v be 3/2*-2 - -19. Suppose -2*b + 40 = -v. Let p be (1 - 46/(-4))*56/10. Calculate the highest common divisor of b and p.
14
Suppose 2*x + 4*a + 90 = -a, a + 106 = -2*x. Let t be 3/(-33) + (-390)/x. Calculate the greatest common divisor of 91 and t.
7
Suppose -12461 = -51*f - 3536. Let h(k) = -8*k - 1. Let i be h(-1). What is the highest common factor of f and i?
7
Suppose -6*s + 14 = -844. Calculate the highest common factor of 55 and s.
11
Let w be (-50)/4*(-1 - 2/(-10)). Let a be -4*8/20*w/(-8). What is the highest common divisor of a and 2?
2
Let u(a) = 3*a**2 - 33*a - 52. Let l be u(15). Calculate the greatest common factor of l and 80.
16
Let c = -39 + 65. Let j be ((-10)/(-3))/(4/78). Calculate the highest common factor of j and c.
13
Suppose -13*v + 5*n = -8*v - 35, -5*n = -3*v + 15. Calculate the highest common divisor of 1370 and v.
10
Let n(v) be the first derivative of -v**4/4 + 8*v**3/3 + 5*v**2/2 - 11*v - 28. Let g be n(6). Calculate the greatest common factor of 7 and g.
7
Let z(s) = -s**3 + 5*s**2 - 4*s - 1. Let l be z(3). Let r = 1 + l. Suppose -165 = d - r*d. Calculate the greatest common factor of d and 3.
3
Let p = 34 + -31. Let d be (-5 + -4 + p)*-2. What is the highest common factor of 48 and d?
12
Let l be ((-8)/(-2) - -9)/(4/4). What is the greatest common divisor of 247 and l?
13
Let v be (13 + -12)/(1/5). Suppose 1 = -v*i - 4*c - 3, 4*i + c + 1 = 0. Suppose -u - 3*u + 12 = i. Calculate the greatest common factor of 1 and u.
1
Suppose 5*n - 4 = -64. Let z be (-10)/(-6) - n/(-18). Suppose z = -2*v + 19. What is the greatest common factor of v and 27?
9
Let t = 1 - -19. Let m(n) = -2*n**3 + 10*n**2 + 10. Suppose 25 - 15 = 2*v. Let g be m(v). Calculate the greatest common divisor of g and t.
10
Let d = 179 - 140. What is the highest common divisor of 26 and d?
13
Suppose -7*y + 178 = -5*y + 4*h, 3*y = -2*h + 251. What is the greatest common divisor of y and 108?
27
Suppose -188 = -6*u + 16. Let o = -1 + u. Suppose 2*p = 2, 3*p + 0*p - 6 = -l. What is the highest common divisor of l and o?
3
Let l = -9 - -17. Suppose 152*z = 163*z - 792. Calculate the greatest common divisor of l and z.
8
Let k be (228/(-10))/(207/(-690)). Calculate the greatest common factor of k and 2242.
38
Let y be (2 - 4)*-2 - -4. Let a be (-2250)/(-24) - 6/y. Let u be (-1)/((-1)/(-3)) + a. What is the greatest common factor of u and 10?
10
Let k = -10 + 10. Suppose k = 3*z + 6, 0*z + 462 = 2*o + 3*z. Let b(h) = -11*h + 4. Let w be b(-2). What is the highest common factor of o and w?
26
Suppose 38*p = 40*p - 574. What is the highest common divisor of p and 41?
41
Let x be 6*(20/6 + 5). What is the greatest common divisor of x and 10?
10
Let b(r) = -r**3 - 13*r**2 + 39*r + 20. Let n be b(-19). What is the highest common divisor of 85 and n?
85
Let p(z) be the first derivative of z**2 - 8*z + 9. Let m be p(6). What is the greatest common divisor of m and 28?
4
Let n(j) = 2*j + 30. Let v(r) = r + 10. Let b(o) = 3*n(o) - 10*v(o). Let a be b(-9). Calculate the greatest common divisor of 39 and a.
13
Let t be 6/15 + (-19646)/(-235). Calculate the highest common divisor of 966 and t.
42
Suppose 0 = 5*x + 25, r + x - 112 = 373. Suppose v = 2*v + 3*a - 246, 0 = 2*v + 5*a - r. What is the highest common factor of 30 and v?
30
Let a = 254 - 66. Suppose 80 = -2*k + a. What is the highest common divisor of k and 378?
54
Let c = -27 + 29. Suppose z = c*z - 10. What is the greatest common factor of z and 20?
10
Let i(p) = -11*p**2 - 5*p + 2. Let l(y) = -y**2 - y. Let b(k) = -i(k) - 2*l(k). Let h be b(3). Calculate the greatest common factor of h and 17.
17
Let z = 86 - 81. Let b(k) = 2 + 3 + 7 + 5*k**2 - k**3 - 2*k. Let d be b(z). What is the greatest common factor of d and 8?
2
Let r be -4 + (-2 - (10 - 3)). Suppose 5*g - 4*g + 23 = 2*q, q = 2*g + 55. Let p = r - g. Calculate the highest common divisor of 176 and p.
16
Let u = -106 + 257. Suppose c = -16 + u. What is the greatest common factor of 54 and c?
27
Let z(a) = 3*a**2 + 6*a + 3. Let j be z(-2). Suppose -i + 30 = -5*l, 2*i + 5*l = -j*i. Calculate the greatest common factor of 55 and i.
5
Suppose -7 = -2*c + k, 1 - 5 = 4*k. Calculate the highest common factor of c and 213.
3
Let n(z) = 2*z**2 + 69*z - 142. Let h be n(-37). Calculate the greatest common divisor of h and 1419.
43
Suppose 7*c + 0 = -0. Suppose -7*n + 12*n - 170 = c. What is the greatest common divisor of 85 and n?
17
Suppose 3*h = 2*w + 122, 0 = 5*w - 0*w - 10. What is the greatest common divisor of h and 18?
6
Let p(o) = o**3 - 2*o**2 + 2*o - 2. Suppose -2*f + 43 - 39 = 0. Let i be p(f). Calculate the greatest common divisor of 5 and i.
1
Let r = -625 - -678. Calculate the greatest common divisor of r and 2.
1
Suppose 0*h - 180 = -5*h. Let w = -12 + h. Calculate the greatest common divisor of w and 264.
24
Suppose 9*f - 3*f = 1122. Let z(q) = q**2 + 3*q - 1. Let b be z(-6). Calculate the highest common divisor of b and f.
17
Suppose -4*z + 0 = -8. Suppose -4*x - 30 = 3*g - 5*g, 30 = z*g + 5*x. Suppose 40 = d + g. What is the highest common factor of 5 and d?
5
Let a be 13414/76 + (-2)/(