. Let a(w) = 32 + 30 - 42 - 2*w**3 + 3*w**k + w - 2*w**2. Let y be a(0). Calculate the highest common divisor of y and 100.
20
Let l be (13 - 24/6 - -44) + -2. What is the highest common divisor of 9 and l?
3
Suppose 0 = 77*a - 85*a + 1040. Suppose -3*q + 3*u + 126 = 0, 2*q - a = -q + 5*u. What is the greatest common divisor of q and 30?
10
Let b = -3641 - -3891. What is the highest common factor of b and 75?
25
Suppose -2*j = -3*n - 192, 20*j - 3*n + 384 = 24*j. Suppose -2*z - 4*z + j = 0. Calculate the highest common divisor of 432 and z.
16
Let o be 1*((-84375)/(-10))/(-9)*(-12)/5. What is the highest common factor of 120 and o?
30
Let o(i) = 6*i**2 + 10*i. Let h be o(7). Let n be -5 + (32/8 - -29). What is the highest common factor of h and n?
28
Suppose 5*d - 238 + 8 = 0. Let t(i) = -i - 10. Let x be t(3). Let k = x + d. Calculate the greatest common factor of 3 and k.
3
Let l = 16952 + -16859. Calculate the highest common divisor of 222 and l.
3
Let a = 4922 + -2805. What is the highest common factor of a and 73?
73
Suppose -x = -3*s - 65, 0 = -2*x + 5*s - 165 + 288. Calculate the highest common divisor of x and 1124.
4
Suppose 12*w - v + 322 = 0, 4*w - 5*v = -32 - 66. Suppose 10 - 25 = z. Let k = z - w. Calculate the highest common factor of k and 24.
12
Let x = 616 - 616. Suppose x*v - 32*v + 2400 = 0. Calculate the highest common divisor of 45 and v.
15
Suppose -d + 12*d - 55 = 0. Suppose -134 - 146 = -d*s. Calculate the greatest common divisor of s and 28.
28
Let h(m) = -m**3 + 5*m**2 + 5*m - 20. Suppose 15*z + 28 = 22*z. Let c be h(z). Calculate the greatest common divisor of c and 208.
16
Let p = 6840 + -6688. What is the greatest common factor of 88 and p?
8
Suppose -4*h + 94 = 42. Suppose 2*n = -0 + 12. Let t be (-30 + 4)*n/(-4). What is the highest common factor of t and h?
13
Suppose -66*n + 3336 = 2*f - 62*n, 1662 = f - 4*n. Calculate the highest common divisor of 1 and f.
1
Suppose -5*b + 0*w + 12 = -3*w, 5*b - w = 14. Suppose -b*k + 239 = -5*o - 328, 0 = -4*o. Calculate the greatest common divisor of k and 18.
9
Let c = 3819 + -3805. Calculate the highest common divisor of 26 and c.
2
Suppose 25*v - 15 - 35 = 0. Suppose -v = i, 4*i - 60 = -5*c + 3*c. What is the greatest common divisor of c and 238?
34
Suppose 0 = 12*i - 17*i + 10. Let y(p) = p**3 + p**2 - p - 3. Let o be y(i). Suppose o*q - 20 - 1 = 0. What is the greatest common factor of q and 21?
3
Suppose -13*i - 860 + 4799 = 0. Let m = -291 + i. Let k be -1 + 25 + (1 - 1). What is the greatest common factor of m and k?
12
Suppose -40879 - 33425 = -12*d. What is the highest common divisor of 48 and d?
48
Suppose 90*r + 7200 = 180*r. What is the highest common factor of 144 and r?
16
Suppose -484175 = -245*z + 106275. What is the highest common divisor of z and 8?
2
Suppose 0 = -85*c + 89*c - 1452. Let i = 662 - 596. What is the highest common factor of c and i?
33
Suppose 0 = -0*z - 42*z + 588. Suppose 77 = z*i - 441. What is the highest common divisor of 333 and i?
37
Suppose -115*a + 6958 + 30187 = 0. What is the highest common factor of 95 and a?
19
Let k(s) = -65*s - 869. Let x be k(-15). Calculate the highest common divisor of 2279 and x.
53
Let d(q) = -33006*q - 32963. Let l be d(-1). Suppose 2*w - 2846 = -g + 3*g, 4253 = 3*w + g. Calculate the highest common divisor of l and w.
43
Suppose 0 = -133*o - 130*o + 54*o + 91960. What is the greatest common factor of o and 396?
44
Let y be ((-52)/(-13))/((-1)/(-7)). Let p = y + -23. Suppose 0 = -0*t - p*t - q + 23, -5*t - 5*q = -15. What is the greatest common factor of t and 25?
5
Let b(o) = 3*o**2 + 108*o + 513. Let y be b(-5). What is the highest common divisor of y and 16656?
48
Suppose -5*m = -2*z - 4292, m - 3*z - 621 - 227 = 0. Calculate the greatest common divisor of m and 180.
20
Let d be (-21)/168*40 + (24*1)/2. Calculate the greatest common factor of d and 448.
7
Suppose -h + 329 = 308. Suppose d = 2*d - 4. Suppose y + 59 = 2*y + 2*o, -2*o = d. What is the greatest common divisor of y and h?
21
Suppose 3*v - 2*y - 13 = 0, -5*v + 3*y + 14 + 8 = 0. Suppose v*u - 4*u - 8 = 0. Let g = 4059 - 4027. Calculate the greatest common factor of u and g.
8
Let x(g) = g**2 - 18*g + 91. Let b be x(13). Let z(r) = -r**3 + 27*r**2 - 23*r - 38. Let f be z(b). Calculate the greatest common factor of f and 70.
10
Suppose -v - 3*r = -7 - 13, 5*r + 88 = 3*v. Let j = v + 70. Let g(a) = -a**2 - 104*a - 576. Let m be g(-98). Calculate the highest common divisor of j and m.
12
Let i(u) be the third derivative of u**5/15 + u**4/8 + u**3 + 80*u**2. Let c be i(-2). What is the greatest common divisor of c and 24?
8
Let m = -15 + -58. Let l = -37 - m. Suppose -3*x = h - 22, -12 = x - 4*h - 41. Calculate the greatest common factor of x and l.
9
Suppose 0 = 4*s - 253 + 257. Let p be ((-25)/2 - s)/((-88)/1232). Calculate the highest common factor of p and 23.
23
Let k(h) = -h**3 + 2*h**2 + 7*h - 10. Let x be k(-3). What is the highest common divisor of x and 22?
2
Suppose 0 = -j + a + 1502, 5*a = -4*j + 1795 + 4195. What is the highest common divisor of j and 875?
125
Let t be 17 + -3 - (77 + -68). Calculate the highest common divisor of 2215 and t.
5
Let k(m) = -m - 10. Let l be k(-13). Suppose -2 = r - 2*o - 0, 2*o = -l*r - 22. Let h be 2/4*r*-1. Calculate the highest common factor of h and 12.
3
Suppose 5*o = l, 4*l = o + 3*o. Suppose l = -11*i + 14*i - 180. What is the greatest common factor of i and 20?
20
Suppose 46*t - 228 = 1980. Calculate the highest common divisor of 1236 and t.
12
Let a(l) = 3*l**2 - 35*l + 256. Let v be a(8). What is the highest common divisor of v and 280?
56
Let l = 20433 + -20352. What is the greatest common divisor of 2547 and l?
9
Suppose -5*z + 122 = -2*n, -2*n = -3*z + 155 - 85. Calculate the greatest common divisor of z and 871.
13
Suppose 232*b - 210*b - 4201 - 21759 = 0. What is the highest common factor of 50 and b?
10
Let i be (195/12)/((-2)/(-8)). Let p(b) = b**2 - 302*b + 1537. Let c be p(5). Calculate the highest common divisor of i and c.
13
Let i(y) = y**3 - 5*y**2 + 8. Let u be i(5). Suppose q = 1, 3*z + 1142 = u*z + 2*q. What is the highest common divisor of 57 and z?
57
Let q be (-406)/(-20) + 9879/370 + -27. Suppose -v + 4*v = -4*i - 20, 0 = -i - 5*v - 22. Let a = 6 + i. What is the greatest common divisor of a and q?
4
Let l be (1 + 26)*(-18)/(108/(-26)). Calculate the highest common factor of l and 559.
13
Suppose -4*k = t - 690, -4*t = -4*k - 58 + 738. What is the highest common factor of 430 and k?
86
Suppose 2*b = -p + 2197, 23*p + 1094 = b + 25*p. What is the highest common factor of b and 352?
44
Let r(o) = o**2 - 4*o + 12. Let x be r(-11). Let p = 181 - x. Calculate the highest common divisor of p and 6.
2
Suppose 3*s - 900 = -11*s + 9*s. Let o(r) = -r**2 - r - 8. Let v be o(-7). Let t = -30 - v. Calculate the highest common divisor of t and s.
20
Suppose -5*c - 138*d + 616 = -137*d, -5*d = 20. What is the highest common divisor of 775 and c?
31
Suppose 0 = -2*g - 6, -68*d + g + 123 = -63*d. What is the greatest common divisor of 3640 and d?
8
Let i(v) = 20*v**2 - 65*v + 8. Let g be i(4). What is the highest common divisor of 1819 and g?
17
Let z(k) = 10*k**3 + 14*k**2 - 5*k + 27. Let p be z(3). What is the highest common factor of 1176 and p?
24
Suppose -14 + 163 = 59*k - 677. Suppose 5*v - 9*i + 4*i = 145, -i = -5*v + 141. Calculate the highest common factor of v and k.
14
Let q = 70 + -122. Let l = q - -47. Let u be (-1)/l - ((-624)/(-20))/(-4). What is the highest common factor of 8 and u?
8
Let h(i) = i**3 - 20*i**2 + 21*i - 10. Suppose -92*g = -94*g + 38. Let c be h(g). Calculate the highest common divisor of c and 21.
7
Let f(b) = -b**3 + 25*b**2 - 111*b + 16. Let r be f(19). Calculate the greatest common divisor of 13 and r.
1
Let v = -4241 + 4299. Calculate the highest common factor of 10034 and v.
58
Let y be -1*27/((-90)/10). Calculate the greatest common factor of 4791 and y.
3
Let q(w) = -149*w + 3. Let i be (10/(-2))/(6/48). Let v = i + 38. Let t be q(v). What is the highest common factor of 43 and t?
43
Suppose 2*v = -2*m + 297 - 95, -4*m = 2*v - 214. Suppose -4*h = -7*h + 114. What is the greatest common divisor of h and v?
19
Suppose -5*y = 3*s - 0*s - 27, s = -y