
Let z = 5 + 19. Let y be (z/10)/(12/40). Suppose -3*n + 5 = 3*k - y*k, -2*k + n = 1. What is the highest common divisor of 22 and k?
2
Let w be (-6)/(-21) + 2369/161. What is the greatest common factor of w and 9?
3
Suppose -144 = -2*j + j. Suppose 4*d + j = 5*d. Suppose 0 = 2*p + 2*p - d. Calculate the highest common factor of 9 and p.
9
Let v = -12 + 2. Let h(t) = -16*t - 3. Let b be h(-3). Let n = b + v. Calculate the greatest common divisor of 35 and n.
35
Let t(l) = -l**3 - 4*l**2 - 18*l - 10. Let k be t(-8). Suppose 0*a - 5*a + k = 0. Calculate the greatest common factor of a and 52.
26
Suppose 0*k - 25 = -2*k + 3*h, 5*k - 97 = -4*h. Suppose -6*q - 48 = -150. Calculate the highest common factor of k and q.
17
Let l = 15 - -8. Let x(a) = -11*a - 1. Let t be x(15). Let s = 258 + t. Calculate the greatest common divisor of l and s.
23
Suppose 35*p = -q + 31*p + 259, -3*p - 294 = -q. What is the greatest common divisor of 248 and q?
31
Suppose 5*s + 18 = -0*i - i, 5*s = -4*i - 72. Let w be -10*-3*(-3)/i. What is the greatest common divisor of 10 and w?
5
Let t(c) be the third derivative of 29*c**4/24 + c**3/6 + 28*c**2. Let w be (3/12)/(2/8). Let k be t(w). What is the greatest common divisor of k and 12?
6
Suppose -23*r = 20*r - 731. What is the greatest common divisor of r and 136?
17
Let o be 7*(2 - 18/(-21)). Suppose -27*h = -30*h + 90. Calculate the greatest common factor of h and o.
10
Suppose 0 = 5*b - 3*g - 127, -2*g - 8 + 0 = 0. Calculate the highest common factor of 8 and b.
1
Let c be 4 + 34765/65 + 6/39. What is the greatest common divisor of 11 and c?
11
Suppose -25 = -2*r + 3*j, 4*r - 3*r - 2*j = 12. Calculate the highest common factor of r and 686.
14
Let i be 67 + (2 - (0 + 1)). Let h = -1733 + 1750. Calculate the highest common divisor of h and i.
17
Let c(w) = w**2 - 15*w + 36. Let m be c(15). Suppose -m = -i + q, -5*q - 9 - 15 = -i. Calculate the greatest common divisor of 26 and i.
13
Suppose -2*n - 32 = -4*n. Suppose 3*v - 74 = 2*v + 2*z, 71 = v - 3*z. What is the highest common divisor of v and n?
16
Suppose 0 = 34*c + 1440 - 11776. Calculate the highest common factor of 96 and c.
16
Let m(v) = -10*v**2 + 11 + v**3 + 27*v - 2*v**2 - 20*v. Let h be m(12). Calculate the highest common factor of 19 and h.
19
Let w = 10 - 7. Suppose -3*q + 66 = 3*b, -2*q + 2*b + 43 = 3*b. Calculate the greatest common divisor of q and w.
3
Suppose 0 = -5*l + 251 + 24. Let s(v) = v + 11. Let k be s(0). What is the highest common divisor of l and k?
11
Let h(p) = -p**3 + 9*p**2 + 4*p - 15. Let c be h(9). Let d be 4/(-14) - (-1350)/c. What is the highest common divisor of d and 96?
32
Suppose 64 - 16 = 2*z. Let j(c) = c**2 + 36*c - 112. Let d be j(-40). Calculate the greatest common divisor of d and z.
24
Let n(h) = -h**2 - 31*h - 166. Let p be n(-21). What is the greatest common factor of p and 902?
22
Suppose 126*i + 700 = 136*i. What is the greatest common divisor of i and 112?
14
Let v(m) = -5*m - 9. Let d be v(-3). Suppose i = 11 - d. Calculate the greatest common factor of i and 5.
5
Let h be 2/5 + 8/5. Let q(a) = -2 + a + h*a - a + 2*a. Let y be q(5). Calculate the greatest common factor of 18 and y.
18
Suppose 603 + 1301 = 7*k. Calculate the greatest common divisor of k and 17.
17
Suppose 0*a = 2*a - 4. Suppose -w = -4*w + 2*m - 5, -7 = -3*w - m. Let u = a + w. Calculate the greatest common divisor of u and 12.
3
Suppose -4*b - 5*h = 9, 2*b - 3*h + 6 = 29. Suppose -5*q = -2*j + 3, -4*j - j + 4*q = -16. What is the greatest common factor of j and b?
4
Suppose 0 = -30*b - 18*b + 1440. Calculate the highest common divisor of b and 870.
30
Suppose 2*z + 5*v + 39 - 94 = 0, -3*z - v = -89. Calculate the highest common divisor of z and 255.
15
Let z = 3 - -3. Let k be (z - 13)/(1/(-17)). Calculate the greatest common divisor of 17 and k.
17
Let v be (-30)/12*(-1 + -1). Let r be ((-15)/9)/(4/(-84)). Let w = r + -20. Calculate the highest common factor of v and w.
5
Let o(v) be the first derivative of -v**3/3 + 27*v**2/2 - 28*v - 39. Let c be o(20). Calculate the greatest common factor of 7 and c.
7
Suppose 112 = -3*l + 22. Let x be (-29)/(-2) - 45/l. What is the highest common divisor of 112 and x?
16
Suppose 170 - 1002 = -13*o. Calculate the highest common factor of o and 120.
8
Let d(v) = 13*v + 549. Let q be d(-41). What is the highest common divisor of q and 4?
4
Let c be (42/(-8))/((-150)/(-80))*-25. Calculate the highest common divisor of c and 14.
14
Let s(d) = -d**2 + 23*d + 6. Let n be s(14). Let r = -131 + n. What is the highest common factor of 14 and r?
1
Suppose c + 15 = 17. Let z be (4 + 52/8)*c. Calculate the highest common factor of 3 and z.
3
Suppose -66 + 6 = 5*a. Let z be -3 + (-4)/1*27/a. What is the highest common divisor of z and 12?
6
Suppose y - 1 - 2 = 0. Let g be ((-4)/6)/(y/(-378)). Suppose 89 - 29 = 5*z. What is the greatest common divisor of z and g?
12
Let b be (1025/(-164))/((-15)/24). What is the greatest common factor of b and 205?
5
Let g be (-8)/3*15/(-5). Suppose g = -5*q + q. Let m be q/(-9) + 620/45. Calculate the greatest common divisor of m and 112.
14
Let m(c) = c**2 - 2*c. Let g be m(-2). Suppose g = u + 41. Let l be u/(-1)*(-182)/(-42). What is the greatest common divisor of 13 and l?
13
Suppose 0 = -8*l + 3*l. Let r be -1 + l - (0 - 1). Let h be (r + -4)*(-176)/32. What is the highest common divisor of h and 2?
2
Let x(n) = -32*n - 504. Let j be x(-24). Suppose -3*d = 3*l - 2*d - 71, 121 = 5*l - d. What is the highest common factor of l and j?
24
Suppose 49*t = 43*t + 336. What is the highest common divisor of t and 28?
28
Let r be (-4)/(-6)*(23 - 17) - -4. Calculate the highest common factor of r and 116.
4
Suppose 21 = 4*y - 5*j, -7 - 11 = -y - 3*j. Let v(d) = d**2 + 3*d - 6. Let w be v(-5). Suppose c - 315 = -w*c. Calculate the highest common factor of c and y.
9
Let p(j) = 96*j - 3. Let v be p(2). Let g be 2*4/18 - (-9990)/486. What is the highest common factor of v and g?
21
Suppose -2*j + 3 = -3. Suppose 3*q - 103 = f - j*f, 50 = f + 2*q. Suppose 5*r = -y + 68, 0 = -3*r - y + 6*y + 52. What is the greatest common factor of r and f?
14
Suppose 12 = 8*j - 36. Suppose j*i - 3690 = -4*i. What is the highest common factor of 41 and i?
41
Let j be (-1)/(6362/3182 - (-16)/(-8)). Calculate the greatest common divisor of 37 and j.
37
Let t(i) = 5*i**2 + i + 2. Let r be t(5). Let j(q) = 5*q + 2*q - 1 - 8*q. Let w be j(-13). Calculate the highest common divisor of w and r.
12
Let t be (-33)/(-44) - 4/(-16). Calculate the highest common divisor of 305 and t.
1
Suppose 2*j - 27 = 97. Suppose 0 = -4*k + 4*s + 1480, 2*s - 1864 = -5*k - 0*k. Suppose m + k = 5*m. What is the greatest common divisor of m and j?
31
Let l = 18 + -4. Let v(p) = -7*p - 8*p + 16 + l*p. Let n be v(-8). What is the greatest common factor of n and 216?
24
Let d be (-3 + 27/3)/2. Suppose -n - 144 = -4*r + n, 0 = -d*n. Let o be 2 - 0 - (-12)/6. Calculate the greatest common factor of r and o.
4
Let i(s) = -s. Let r be i(-1). Let x be (-1 - r)*(-315)/6. Let h(a) = -a**3 - 8*a - 9. Let t be h(-2). Calculate the greatest common factor of x and t.
15
Let q be 2*1/(-2) - -35. Let l(r) = -38*r - 96. Let h be l(-7). Calculate the greatest common factor of h and q.
34
Let c be (15/25)/((-1)/(-5)). Suppose 4*z + c*n - 69 = 8, -4*z + 2*n + 82 = 0. What is the greatest common divisor of z and 180?
20
Let l = 1172 + -1645. Let r = -203 - l. Calculate the highest common factor of r and 27.
27
Let r(h) = -h**3 - 13*h**2 + 41*h + 56. Let u be r(-16). Calculate the highest common factor of u and 108.
12
Let u(s) = s. Let n be u(2). Suppose -w - n*w + 84 = 0. Let j = 9 + 19. What is the greatest common factor of j and w?
28
Let k be (-27)/2*(-704)/33. What is the greatest common divisor of 18 and k?
18
Let d(l) = l**2 - l - 3. Let o be d(6). Let s = 394 + -385. What is the greatest common divisor of o and s?
9
Suppose -n + 1 = -4, 4*n - 116 = -4*q. Calculate the highest common divisor of q and 312.
24
Let w = -34 + 54. Suppose 5*p - 37 = 4*p - c, -5*p + 185 = 3*c. Let v = 97 - p. What is the highest common divisor of v and w?
20
Let q(w) = -87*w + 1. Let d be 9/(-27) - 140/(-6). Let p = d - 24. Let a be q(p). What is the greatest common divisor of a