1110. Let j(f) = f**2 - f - 5. Suppose 4 = 4*y - 3*y. Let q be j(y). Calculate the greatest common factor of q and z.
7
Let i be (-5)/(70/(-556)) - (-8)/28. Calculate the greatest common divisor of 540 and i.
20
Suppose 3*z = 12 + 6. Let j(p) = p**3 - 12*p**2 - 12*p - 9. Let t be j(13). Suppose -t = 4*b - 28. Calculate the highest common factor of b and z.
6
Let v be 8 + -10 - 18*-1. Calculate the highest common factor of 568 and v.
8
Suppose -17*k = 13*k - 20250. Calculate the greatest common factor of k and 27.
27
Suppose 0 = 5*b - 2*b. Suppose 0 = -b*g - g + 160. Let i(u) = 4*u**2 + u + 2. Let z be i(2). What is the highest common divisor of z and g?
20
Let s be (-1)/(7/(-28) + 0). Let v = -6 + 38. Calculate the highest common divisor of s and v.
4
Let n(m) = -4 + 8*m - 3*m**2 + 2*m**2 - 4. Let d be n(6). Calculate the highest common factor of d and 1.
1
Let d = 293 - 266. What is the highest common divisor of 36 and d?
9
Suppose 2*g + 2*g = 28. Let c be ((-74)/6 + 1 - -2)*-3. Calculate the highest common divisor of g and c.
7
Suppose 14 = 3*j - 1. Let z be 15/(18/(-45) - 57/(-30)). Calculate the highest common divisor of j and z.
5
Let t(d) = 208*d**2 - 2*d + 1. Let z be t(1). Calculate the greatest common divisor of z and 184.
23
Let i(h) = -h**2 - 11*h - 23. Let y be i(-4). Suppose y*m + 39 = 189. What is the highest common factor of m and 15?
15
Suppose 4*i + 7 = -c, 5*i + 14 = 2*c + 2. Let d be 23/1 - (2 + c). Suppose 3*s + 0*s = -4*n + 185, n - 40 = -2*s. What is the greatest common factor of d and n?
10
Suppose 0 = t + l - 63 - 698, -5*t + 4*l + 3841 = 0. Calculate the greatest common divisor of t and 51.
51
Suppose 40 = -3*a + 424. Calculate the greatest common divisor of a and 24.
8
Suppose -2*c - 2*z = z - 6524, -c = 2*z - 3262. Calculate the greatest common factor of c and 14.
14
Suppose 4*q = 3*q + 6. Suppose 5*j - 96 = 3*j. What is the highest common divisor of j and q?
6
Suppose -441 = -5*j - 206. Calculate the highest common factor of j and 376.
47
Let j(r) = -5*r. Let z be j(-1). Let c = 18 - 29. Let l = -6 - c. What is the greatest common divisor of l and z?
5
Suppose i + 275 = k + 2*i, -5*k = 2*i - 1378. Calculate the greatest common factor of 18 and k.
6
Let o be (4/3)/(8/24). Suppose -4*t - t = -w + 35, -5*w + o*t + 91 = 0. Calculate the highest common factor of 165 and w.
15
Let m be 177/7 - (-4)/(-14). Suppose -x - 39 = -4*g - 16, -x = -3*g + 17. Suppose -4*q + g = -14. What is the greatest common divisor of q and m?
5
Suppose 5*r - 23 = -3. Suppose -3*t + 5*m = 3*m - 34, -4*m = r*t - 12. Calculate the greatest common factor of 2 and t.
2
Suppose 8*d + 10 = -2*d. Let z be 119/51*(d - -10). Calculate the highest common factor of 7 and z.
7
Suppose 42 = 3*d - 258. Let m(s) = -2*s**3 - 22*s**2 - 6*s - 46. Let j be m(-11). What is the highest common divisor of j and d?
20
Suppose 0 = -5*y + 5*m + 45, -m + 6*m = -4*y. Let w be 6/4 - 81/(-6). Calculate the highest common factor of y and w.
5
Suppose -2*l + 400 = 4*j, -j + 71 + 7 = -5*l. Calculate the highest common divisor of 56 and j.
14
Let l be 170*(9/(-6) + 2). Let r(o) = 2*o + 7. Let u = 4 - -1. Let d be r(u). What is the highest common divisor of d and l?
17
Suppose -4*r + 1 + 1611 = 2*d, 4*r - 5*d - 1598 = 0. Calculate the highest common divisor of r and 6.
6
Let f be (-4)/20 + 146/5. Suppose 2*b - 103 = f. What is the highest common factor of b and 6?
6
Let t(y) = 299*y + 7. Let z be t(1). What is the greatest common factor of 54 and z?
18
Suppose -3*v + 65 = 2*v - 4*d, 0 = 2*v - 4*d - 26. Let u be (-3)/(-9) - 1088/(-12). Calculate the greatest common factor of u and v.
13
Let i be (-68)/(-3) - 1/(-3). Let j = 38 - 24. Let z = i - j. What is the highest common divisor of z and 3?
3
Suppose 5*y - 1450 = -970. Let u be (-18)/4*32/(-6). Calculate the greatest common factor of y and u.
24
Suppose 0 = -3*q + 8*q - 185. Let h be -1 - -2*1 - 24. Let i = h + q. Calculate the highest common divisor of i and 154.
14
Suppose -12 = 3*i + 57. Let d = -25 - i. Let s be 21 + (d - 2) + -2. What is the greatest common factor of s and 120?
15
Let s(w) = -4*w - 6. Let j be s(-2). Suppose -q + 5*c = j*q - 295, 0 = q + c - 85. What is the highest common divisor of q and 20?
10
Let r = -12 + -13. Let k = r - -39. Calculate the highest common factor of k and 126.
14
Suppose -2*r + 4*c + 150 = 0, -3*c = 3*r - 112 - 149. What is the greatest common factor of r and 83?
83
Suppose 0 = 547*w - 542*w - 300. Suppose -2*a - 2*a + 48 = 0. What is the greatest common factor of a and w?
12
Suppose -r + 69 = 16. Suppose 5*v - 2*j - 101 = 0, -3*v = j - 6*j - r. Let c = -11 + v. Calculate the highest common factor of 40 and c.
10
Let f(v) = 2*v**3 - 6*v**2 + 6*v + 2. Let x be f(4). What is the greatest common factor of x and 319?
29
Let u(f) = 20*f + 227. Let q be u(-10). Calculate the greatest common factor of 99 and q.
9
Suppose 4518*g - 4521*g + 3021 = 0. Calculate the highest common divisor of g and 19.
19
Suppose 5*j + 105 = 3*r, r - 5*r + 3*j + 140 = 0. What is the highest common factor of r and 280?
35
Suppose -32*x + 686 = -1138. Calculate the greatest common factor of 741 and x.
57
Suppose -2*k + 282 = -9*n + 6*n, 4*k - 582 = -3*n. What is the greatest common factor of 180 and k?
36
Let h = 50 + -33. Let o(a) = a**3 + 22*a**2 + 20*a - 22. Let b be o(-21). Let z be (b/(-3))/(6/306). Calculate the greatest common factor of z and h.
17
Suppose 0 = -4*t + a + 360, -2*a + 309 = 5*t - 141. What is the highest common divisor of 250 and t?
10
Let i = 2318 + -953. Calculate the greatest common divisor of 21 and i.
21
Let r(c) = 128*c - 64. Let z be r(4). Calculate the highest common divisor of z and 56.
56
Let a be (9/4)/((-48)/(-256)). Let m = a - -4. What is the highest common divisor of m and 128?
16
Suppose -70*z + 62*z + 408 = 0. What is the highest common factor of z and 697?
17
Let i = 12 - 10. Let n be 10/5*(i - -3). What is the highest common divisor of n and 10?
10
Suppose 2*j = 4*x + j - 1570, -3*x + 2*j + 1180 = 0. Suppose -4*b - 2*v + x = -v, 0 = v. Let i = -25 - -39. What is the greatest common factor of b and i?
14
Suppose 14 = 3*f + 3*i - 7, 3*f - 1 = i. Suppose 0 = f*o - 1 - 3. Calculate the greatest common divisor of 14 and o.
2
Let j(d) = -d**2 - 12*d - 30. Let f be j(-8). Suppose 0 = f*o - 63 + 43. Calculate the highest common factor of o and 170.
10
Let t be -5*(-4)/40*22. Let f(h) = -h**2 - 8*h + 20. Let m be f(-9). Calculate the highest common factor of t and m.
11
Let f = -172 + 252. Suppose -5*g = -g - 8, 4*g - f = -3*r. What is the greatest common factor of 72 and r?
24
Let h be ((-106)/265)/((-4)/10). Let z be 6/(-21) - 32/(-14). What is the greatest common factor of h and z?
1
Let i(j) = 2*j - 14. Let x be i(7). Suppose 0 = -x*p + p - 60. What is the greatest common factor of p and 15?
15
Suppose 4*y + t = 56, 3*y = -0*y - 2*t + 47. Let u = 3 + -1. Suppose -u*q = -q - 13. What is the greatest common factor of q and y?
13
Let s be (0 + 0)/(-4 - -6). Suppose -9*h + 14*h - 100 = s. What is the highest common factor of 50 and h?
10
Let j be (15 - 0) + (-205)/41. Calculate the highest common factor of 90 and j.
10
Let d be 25/6 - (-1)/(-6). Let i(q) = 5*q + 4. Let b be i(d). Suppose -3 = -m + b. What is the highest common factor of m and 27?
27
Let y(f) = -3*f - 5. Let j be y(-5). Let v be -2 + 4 - -12*4. What is the greatest common factor of v and j?
10
Let u(x) = 17*x**2 + 4*x + 3. Let c(w) = -4*w**2 + 3 + 2*w**2 + w**3 - 12*w + 7*w. Let h be c(3). Let j be u(h). What is the highest common divisor of j and 16?
16
Suppose 8 = 8*a - 4*a. Suppose 5*u - a*q - 98 = -0*q, -5*u - 3*q = -78. What is the greatest common factor of 9 and u?
9
Suppose -5*d + 25 = 0, 5*o - 22 = d - 2. Suppose -12 = 3*c - o*c. What is the highest common divisor of 48 and c?
6
Let o be (2/4*-18)/1. Let h = o + 13. Suppose -h*r = 7 - 75. What is the greatest common divisor of r and 153?
17
Suppose 3*u = -8*j + 4*j + 4, 2*u - 2*j = -2. Suppose -l + 5*l + 32 = u. Let k = l + 19. What is the highest common divisor of k and 88?
11
Let d(o) = o**2 - 6*o - 6. Let z be d(-4). Let v = z + -27. Calculate the greatest common factor of 14 and v.
7
Let u = -216 + 232. What is the highest common factor of u and 64?
16
