et u(j) = j**3 - 14*j**2 - 10*j - 67. Let b be u(15). What is the greatest common factor of b and 424?
8
Let p = 148 + -4. What is the greatest common divisor of 27 and p?
9
Let j = 361 - 234. Suppose 53 = 4*m - j. Calculate the greatest common divisor of m and 495.
45
Suppose 9*g - 2072 = -28*g. Calculate the greatest common divisor of g and 2744.
56
Let f(d) = 7*d**2 + 95*d - 28. Let i be f(-14). Calculate the highest common divisor of i and 266.
14
Suppose 13*z - 15*z + 2*n + 1040 = 0, 2075 = 4*z - 5*n. What is the highest common divisor of z and 75?
75
Let l(a) = 2*a**3 - 4*a**2 - 3*a - 4. Let r be l(4). Let b = -135 - -142. Suppose -r = 3*t - b*t. Calculate the greatest common divisor of 36 and t.
12
Let y(i) = 5*i**2 + i - 8. Let m be y(4). Let p(z) = z**3 + 11*z**2 + 8*z - 1. Let s be p(-10). What is the highest common factor of s and m?
19
Let c be (-4 + 0)*1 + (-252)/(-7). Let q be (-1)/(-4) - (-127)/4. What is the highest common factor of q and c?
32
Suppose 9 = -6*l + 7*l. Suppose -5*d + 73 = -137. Suppose -5*b = 3*t - d - 22, -5*b + 100 = 5*t. Calculate the greatest common divisor of t and l.
9
Suppose -18*g + g = -2907. Calculate the highest common divisor of 57 and g.
57
Let v be (18/6)/((-1)/7). Let c = 26 + v. Suppose -14 - 31 = -c*n. Calculate the highest common divisor of 3 and n.
3
Let h = -4237 + 4291. Let u be -3*(-2 + (-1 - -1)). What is the highest common divisor of u and h?
6
Let y(h) = h**2 - 6*h - 9. Let k be y(7). Let x be k/(-6)*-3*0. Suppose -288 = -2*u - 4*z, 611 = -x*u + 4*u + z. What is the highest common divisor of 14 and u?
14
Let m = 464 + -430. What is the highest common divisor of 17 and m?
17
Let w = -5 - -10. Let n(p) = 19*p + 30 + 107 - 11*p. Let h be n(-14). Calculate the highest common factor of h and w.
5
Let p = 5509 - 3450. What is the highest common factor of p and 71?
71
Let c be 2/(-3) - 572/(-12). Suppose -r - 187 = -4*l + 4*r, 0 = -l + r + c. What is the greatest common factor of 528 and l?
48
Suppose n + 15 = j, -2 = j + 3*n - 1. What is the highest common divisor of j and 77?
11
Let u(z) be the second derivative of -z**4/12 + 135*z**2/2 + 2*z. Let w be u(0). Suppose -w = -4*s + 437. Calculate the highest common divisor of s and 13.
13
Suppose -63 = -4*a - 3*s, -7*s + 3*s = -20. Suppose 4*r + r = -g + 15, -4*r - 2*g = -a. What is the highest common factor of r and 21?
3
Let r(p) be the third derivative of -p**5/60 - 7*p**4/24 - p**3/6 + 6*p**2. Let o be r(-6). What is the highest common divisor of o and 5?
5
Suppose -5*p = 3*v - 2, -2*p = 7*v - 8*v + 8. Suppose s - y = -v*s + 25, -4*s + y + 21 = 0. Calculate the highest common factor of s and 18.
2
Suppose 0 = 2*x + 4*c - 1454, -5*x + 4*c = -0*x - 3621. Calculate the highest common divisor of 25 and x.
25
Let n = -307 - -319. Calculate the greatest common divisor of 228 and n.
12
Let w = -38 - -40. Suppose 3*l = w*k - 14, 2*k = -0*l + 2*l + 10. Calculate the highest common divisor of 3 and k.
1
Suppose 40*u = 44*u - 336. Let n be (-33)/(-3) + 6 + -3. Calculate the highest common factor of n and u.
14
Suppose -h + 3*h - 3*l = 6, 0 = 5*h - 5*l - 15. What is the greatest common factor of h and 48?
3
Suppose -34 = -4*y - 50. Let o be 1/y + (-42)/(-8). What is the greatest common factor of 15 and o?
5
Suppose 5*w + 24 = 3*g - 0*g, 4*g = 5*w + 27. Suppose 2*h - 7*h + 120 = 0. Calculate the greatest common factor of g and h.
3
Let h(b) = -b**3 - 33*b**2 + 32*b - 39. Let v be h(-34). What is the greatest common divisor of v and 783?
29
Let c = -237 + 239. What is the greatest common divisor of 128 and c?
2
Let b = 32 - 30. Let o be 1/((-4 + 2)/b). Let g = o - -5. What is the highest common divisor of g and 10?
2
Suppose 11 = -4*u + 3*v, -4*v + 7 + 16 = 3*u. Suppose 19*k + 11 - 87 = 0. Calculate the greatest common divisor of u and k.
1
Let q be 4/(-12)*(-247 - 8). What is the greatest common divisor of q and 55?
5
Suppose -10 = -3*g + 5, 3*w = 4*g - 14. Let z(h) = 49*h + 1. Let i be z(w). What is the greatest common divisor of i and 9?
9
Let n be (-4)/(-30) + (-2157)/(-225)*10. What is the highest common factor of 336 and n?
48
Let t(m) = -m + 4. Let x be t(-4). Let g be ((-4)/3)/((-4)/168). What is the greatest common divisor of g and x?
8
Let c(b) = -b**2 - 23*b - 12. Suppose 96 = -4*s + 2*x, s - 4*x + 5*x + 18 = 0. Let j be c(s). What is the greatest common divisor of j and 35?
5
Suppose -3*y - q = -2*y - 10, 0 = 2*q + 8. Let f = y - 8. Suppose -4*o + o = -f. What is the highest common divisor of o and 1?
1
Suppose 120 - 360 = -3*h - 3*v, -4*h = -v - 340. What is the greatest common factor of h and 63?
21
Let q(z) = 3*z + 9. Let v be q(-4). Let i(u) = -u**2 - 4*u - 2. Let g be i(v). What is the highest common divisor of g and 2?
1
Let f(v) be the third derivative of v**4/4 + 2*v**3/3 - 15*v**2. Let g be f(12). Calculate the greatest common divisor of g and 114.
38
Let t(d) = -d**3 - 7*d**2 - 6*d - 9. Let y be t(-6). Let k be y/(-6) - 3/(-2). Suppose 10*w + k = 11*w. What is the greatest common factor of 27 and w?
3
Let i be (-24)/16 + 18/4. Let z be (-392)/(-6) + (-2)/(-3) - i. Calculate the greatest common divisor of z and 21.
21
Let i = -24 + 28. Let k be 1*1/(i/8). Suppose 2*z - 5 = -3*r + k*r, 0 = -4*r + z + 2. Calculate the highest common divisor of 4 and r.
1
Let u(l) = -l**2 + 7*l + 8. Suppose 1 - 7 = -f. Let b be u(f). Calculate the greatest common divisor of 35 and b.
7
Let k(h) = -18*h - 2. Let g be k(-3). Suppose -2*w - g = -5*w - 4*c, -3*c = -12. What is the greatest common divisor of 12 and w?
12
Let m be 49654/242 - (8/(-22))/(-2). Calculate the greatest common factor of m and 5.
5
Let u(f) = -34*f - 158. Let q be u(-6). Calculate the highest common factor of 46 and q.
46
Let n = 1349 + -1313. What is the highest common divisor of n and 261?
9
Suppose -5*f - 15 = -5*x, 4*x + f - 30 = -13. Calculate the greatest common factor of 836 and x.
4
Suppose 1 = -5*l - 4. Let d be l/5 - 2443/35. Let j be 3/(-5) + (-2422)/d. Calculate the highest common factor of 17 and j.
17
Let p(o) = 2*o**3 - 37*o**2 + 22*o - 7. Let i be p(18). Let n(a) = 5*a - 5. Let u be n(5). Suppose u = f + 7. What is the greatest common divisor of f and i?
13
Suppose 12 - 2 = -5*t. Let m = t + 0. Let i be 14 + m/(-2) + -3. Calculate the highest common divisor of 36 and i.
12
Suppose -r = 4*h - 31, -h - 94 = -5*r - 23. Suppose -7*o + r = -97. Calculate the greatest common factor of 4 and o.
4
Suppose 0 = -j + 4, -m - m + 5*j = -124. Suppose -2*l + 3 = 11. Let c be (l/5)/((-15)/150). What is the greatest common factor of m and c?
8
Suppose -17*k + 2673 = 684. Calculate the greatest common factor of 9 and k.
9
Let j = -355 - -1286. Calculate the highest common factor of j and 49.
49
Suppose 5*k + 4*b = 3*b + 576, 8 = -2*b. What is the highest common factor of k and 8?
4
Let n be (-1 + 9/3)*(11 - 8). What is the greatest common divisor of n and 96?
6
Suppose 4*n - 3*x - 12 - 56 = 0, -5*n = 5*x - 120. Let p = -2727 - -2747. Calculate the greatest common factor of p and n.
20
Suppose -5*i = 5*j - 220, 0*i + 132 = 3*i + j. Calculate the greatest common divisor of i and 484.
44
Suppose -9 = -5*m + 1. Suppose 0 = -k - 2*z + 10, 0*k + 4*z = 5*k - 106. Calculate the highest common factor of m and k.
2
Let k = -49 + -57. Let j = k - -206. Calculate the highest common factor of j and 25.
25
Let u = 277 - 169. Calculate the greatest common factor of 72 and u.
36
Let l be ((-10881)/1053)/(-1*1/6). What is the greatest common divisor of l and 527?
31
Let f(j) = -7*j - 100. Let k be f(-25). Suppose -62 = -5*d + 13. What is the greatest common divisor of k and d?
15
Suppose 3 = -0*o - 3*o. Let s be o/(33/17 - 2). Suppose 4*k = 77*k - 13651. What is the highest common divisor of k and s?
17
Let l(z) = -10 - 5*z + 1 - 5. Suppose -18 = 4*x - x. Let r be l(x). What is the highest common factor of r and 64?
16
Suppose 0 = 8*r - 13*r + 1080. Suppose -g + 4*g = 81. Calculate the greatest common factor of r and g.
27
Let q(u) = 2*u**2 + 43*u - 112. Let l be q(-24). What is the highest common factor of l and 152?
8
Let s(n) = n**3 + 6*n**2 + 1. Let y = 42 - 47. Let m be s(y). Let t be (2*-13)/((-2)/5). Calculate the highest common divisor of t and m.
13
Let u = -45 - -84. Suppose 0 = -6*j + 1