
4
Let d = -323 - -540. Calculate the highest common divisor of d and 31.
31
Let h = 2496 + -1171. Calculate the highest common factor of h and 25.
25
Let q(f) = -34*f - 196. Let w be q(-19). What is the highest common divisor of w and 72?
18
Let r(s) = -11*s + 33. Let c be r(0). What is the greatest common factor of 528 and c?
33
Suppose 0 = -3*j - 15, -3*l + 110 = 7*j - 5*j. Calculate the greatest common factor of 10 and l.
10
Let w(t) = -t + 29. Suppose 0 = 6*i - 3*i - 24. Let a be w(i). Calculate the highest common factor of 21 and a.
21
Let n = 51 + -14. Let m = 32 + 375. What is the highest common factor of m and n?
37
Suppose -4*q - 75*y = -72*y - 144, 4*y - 108 = -3*q. What is the greatest common divisor of 207 and q?
9
Suppose -5*i - 3*r + 131 = 0, -4*i + 4 = 4*r - 96. Let q = i - 18. Calculate the greatest common factor of 160 and q.
10
Let i be 24/32 + 6/(-8). Suppose 6*a + i = 6. What is the highest common factor of a and 1?
1
Let v(h) be the third derivative of -h**6/60 - h**5/15 - 5*h**4/24 - h**3/2 - 30*h**2. Let g be v(-2). What is the greatest common divisor of g and 56?
7
Let s be 0 - (9 + (-61)/1). Calculate the greatest common factor of 1352 and s.
52
Let r be 81/4 - 3/12. Let t(z) = z. Let i be t(3). Suppose -c = i*q - 50, 2*q = 2*c - 0*q - 100. Calculate the greatest common factor of c and r.
10
Suppose -2*x = -2*c + 7*c - 180, 0 = -5*x + 4*c + 384. Suppose s = -5*s + 252. Suppose 2*i + s = 62. What is the greatest common factor of x and i?
10
Suppose 0 = -4*v + 47 - 31. Let r be 1575/125 + v/10. What is the highest common factor of 1 and r?
1
Let y be 18/27 + 130/3. Suppose 0 = -4*u - n + 28, u + 2*u - y = 5*n. Calculate the highest common factor of u and 2.
2
Suppose -3*y + 206 = 2*y - 3*q, y - q = 42. Suppose -2*d + 20 = -y. Calculate the greatest common factor of d and 240.
30
Let p(m) = 14*m**2 + 7. Let y be p(4). Calculate the highest common factor of 99 and y.
33
Suppose 18 + 24 = 6*q. Suppose -q*l + 59 = 3. Suppose 4*c - 21 = 27. What is the greatest common factor of c and l?
4
Let o be (1/(-2))/1 + (-45)/(-2). Suppose 6*g + o = 8*g. Let l be ((-2)/2)/(2/(-154)). What is the greatest common divisor of g and l?
11
Let f be -1 - 4/(-1*2). Let j(m) = -49 + 9*m - 6*m + m - 10*m. Let t be j(-10). What is the greatest common divisor of f and t?
1
Let k be (6/4)/(24/3040). What is the highest common factor of k and 114?
38
Suppose 17*a - 27*a + 6270 = 0. Calculate the highest common factor of a and 57.
57
Suppose 3*a - 5*o + 22 = 0, 0 = -0*a + 3*a - o + 14. Let r = 13 + a. What is the highest common factor of r and 36?
9
Suppose 3*r + 13 = j, -8*j + 2*r = -3*j - 52. Suppose 38*d = 76*d - 2850. What is the highest common factor of d and j?
5
Let p be (5/(-2))/(125/30 - 4). Suppose -3*v + 92 - 11 = 0. Let h = p + v. Calculate the highest common factor of h and 4.
4
Suppose -5*t + 4*p = -p - 20, 5*p = t + 4. Suppose -s - t + 17 = 0. What is the highest common divisor of 121 and s?
11
Let i(r) = 11*r - 43. Let j be i(4). Let k = -120 - -127. What is the greatest common factor of k and j?
1
Suppose -4*d + 948 = 2*l, -1166 = -9*l + 2*d + 3000. Calculate the greatest common divisor of 1044 and l.
116
Suppose -3*k = -16 - 50. Let n be (-6 - 4)*2/4. Let j = -3 - n. What is the greatest common divisor of j and k?
2
Let l(x) = x**3 - 18*x**2 - 18*x + 33. Let b be l(19). What is the highest common factor of b and 39?
13
Let y(m) = -101*m + 10. Let v be y(-2). Suppose 0 = 6*s - 172 - v. What is the greatest common factor of 16 and s?
16
Let i(b) = b - 3. Let y be i(8). Suppose -4*d + 8 = l, 4*l + y*d - 9 = 3*l. Let j be (4 - 52/12)*-3*(1 + 5). What is the highest common factor of l and j?
2
Let y(s) = -22*s + 386. Let a be y(13). Calculate the greatest common divisor of 25 and a.
25
Suppose -5*f - 108 - 215 = -2*m, -2*f - 314 = -2*m. What is the greatest common divisor of 28 and m?
14
Suppose 7 + 23 = 5*r. Let d = -4216 + 4220. What is the highest common divisor of r and d?
2
Let n = 60 + 20. Suppose -2*q - o = -25, -2*o - 20 = -3*q - 0*o. What is the highest common factor of q and n?
10
Suppose -12*b + 220 = -500. What is the highest common divisor of 660 and b?
60
Let a be -1 + ((-27)/(-18))/((-1)/(-2)). Suppose -a*o - 2*l = -o - 146, -l = 2. Calculate the highest common divisor of o and 60.
30
Let s = 17 + 11. Let h(c) = -7*c. Let q be h(-8). Calculate the greatest common factor of s and q.
28
Let k be 28/35 - 5646/(-30). What is the highest common factor of k and 21?
21
Suppose -2*p + 6*p - 12 = 0. Suppose 2*a - 206 = -p*q + 284, -2*q + 320 = -2*a. Calculate the greatest common factor of 18 and q.
18
Let o = -3 - -13. Suppose -o*t + 8*t = 24. Let k be (t/10)/((-8)/40). What is the highest common factor of 2 and k?
2
Suppose 0 = 4*u, -4*z + 616 = -5*u - 56. Suppose 5*w - 112 - z = 0. Suppose c = 4*a + 28, -c - 6 = -3*c - 2*a. Calculate the highest common divisor of c and w.
8
Suppose 0 = 18*v + 4339 - 4681. Suppose -3*x + 122 = 2*a, -a = -3*x + a + 106. What is the greatest common divisor of v and x?
19
Suppose 4*j = -2*n, -5*j + 7*j = -5*n + 16. What is the greatest common divisor of n and 36?
4
Let p be (13 - 8) + -5 - -27. Suppose 14 = 3*f - 13. Calculate the highest common factor of p and f.
9
Let z be (-31)/(-2) - 16/32. Let s = 66 - 51. What is the greatest common divisor of z and s?
15
Let z = 6 - 4. Let b(f) = f**3 + 14*f**2 - 17*f - 15. Let t be b(-15). Suppose -t*j = -20*j + 10. What is the greatest common divisor of z and j?
2
Suppose 2*a - 330 = 198. Let r be 182/4 - ((-495)/30)/(-11). What is the highest common divisor of a and r?
44
Suppose -p + 40 = 3*p. Suppose t + 2*t - 1 = 5*o, -2*t = 4*o - 30. Suppose -t*a + 3*a = -360. Calculate the greatest common factor of a and p.
10
Suppose 0 = -3*q - 0 + 30. Suppose q = 4*x + 2. Suppose t - 3 = 5. What is the greatest common factor of x and t?
2
Let b(q) = 2*q**3 + 4*q**2 - 14*q - 4. Let a be b(3). Calculate the highest common divisor of a and 4.
4
Suppose 84*z = 79*z - 90. Let i = z + 58. Suppose 4*a - 3*h = 409, -2*a + 4*a = h + 203. What is the highest common divisor of i and a?
20
Let b = -18 + 35. Calculate the highest common factor of 17 and b.
17
Let y = 55 + -42. Suppose 51 + 131 = y*k. Calculate the greatest common factor of 70 and k.
14
Suppose -2*s = 6*i - 3*i - 180, 0 = -i - 4. What is the greatest common factor of s and 18?
6
Let z be (-2)/4*2 - -43. Suppose -g - z = -202. Let s be 2/(-4)*g/(-5). What is the highest common divisor of s and 48?
16
Let f = -43 + 51. Suppose f*b = 37 + 91. Calculate the greatest common divisor of 112 and b.
16
Suppose 2*w = -4*m + 220, 110 = 112*m - 110*m + 2*w. Calculate the greatest common factor of 20 and m.
5
Suppose -4*b = 60*b - 3968. What is the greatest common divisor of b and 155?
31
Suppose -52 = -4*t - 12. Let p = -136 + 244. Suppose -v = -2*m + 58 - 1, -4*m + 4*v = -p. What is the highest common divisor of m and t?
10
Let t = -132 + 156. Calculate the highest common factor of 32 and t.
8
Suppose -z + 5*z - 127 = -k, -74 = -2*z - 4*k. Suppose 4*y = -z + 99. Calculate the greatest common factor of 187 and y.
17
Let n(i) = -i**2 - 53*i - 130. Let l be n(-46). Calculate the highest common factor of 3 and l.
3
Let k(w) = -100*w - 138. Let g be k(-6). Calculate the greatest common factor of 7 and g.
7
Let m = 9 - 7. Let b be m/(-6)*12/(-4). Let j = 10 + -8. Calculate the highest common divisor of j and b.
1
Let b be 0 + -2 - (-26 + 6). Calculate the greatest common divisor of b and 144.
18
Suppose -4 = -77*s + 81*s. Let c be (3 - 4)*1*s. What is the highest common divisor of 9 and c?
1
Let t = -2059 - -2085. Let p = -428 - -636. Calculate the greatest common divisor of p and t.
26
Let r = 198 - 137. Suppose -4*f - r = -381. Suppose -4*h + f = h + 5*z, 3*z = 3*h - 48. What is the greatest common factor of 8 and h?
8
Let y be (-214)/(-4 + 2) - -1. Suppose -2*s = -0 - y. What is the highest common divisor of s and 18?
18
Let u = -535 - -538. Calculate the highest common factor of u and 615.
3
Let f be (-1 - (-50)/14)/((-4)/(-112)). Calculate the greatest common factor of f and 40.
8
Let x(y) = -y**2 - 5*y + 10. Let u be x(-5). Let c(h) = 3*h + 20. Let i be c(u). Calculate the highest common factor of 25 and i.
25
Let j = 