1). Calculate the highest common divisor of 506 and v.
253
Let r(w) = w**2 - 18*w + 89. Let s be r(6). Let i(q) = -q**3 + 15*q**2 - 6*q - 10. Let c be i(7). What is the greatest common divisor of c and s?
17
Let b(q) = q**3 - 15*q**2 + 8*q + 96. Let p(t) = 3*t**3 - 4*t**2 - 11*t + 2. Let l be p(3). Let u be b(l). What is the greatest common divisor of 1152 and u?
12
Suppose 5*x - 5*p = -1135, 0*p + 2*p + 230 = -x. Let w = 304 + x. What is the greatest common divisor of 133 and w?
19
Let o be (-25 - (-1342)/66)*15/(-2)*54. What is the highest common divisor of 280 and o?
70
Suppose 12*i = 16*i + 404. Let h = 70 - i. Calculate the highest common factor of 9 and h.
9
Suppose -10*u + 12*u - 132 = -j, u - 76 = -3*j. Suppose 0 - 3 = -3*c. What is the highest common factor of c and u?
1
Let b be (-60)/(-8 - 232/(-32)). What is the highest common factor of 272 and b?
16
Let w(o) = 24*o**2 - 659*o - 5368. Let p be w(-8). What is the greatest common divisor of p and 256?
32
Suppose 333 = 9*l - 477. Let r be 125 + (-15)/(l/48). Calculate the highest common factor of 18 and r.
9
Let r = 3733 - 3117. Calculate the highest common factor of 392 and r.
56
Let z(o) = 6*o**2 + 7*o - 10. Let h(s) = s**3 + 5*s**2 - 11*s + 24. Let y be h(-7). Let v be z(y). Calculate the highest common divisor of v and 91.
13
Suppose 4*j = 22*l - 24*l + 916, -5*j + 4*l + 1158 = 0. What is the greatest common divisor of j and 2415?
115
Let r = -406 - -696. Suppose 5 = -l, -5*l + 4*l = 4*a - 28 - 7. What is the highest common factor of a and r?
10
Suppose 0 = -13*y + 51 + 1. Suppose 0 = 5*t - y*m - 601, -3*t + t = -m - 238. Calculate the highest common factor of t and 9.
9
Suppose -5*k + 57 = -v, -56 = -3*k - 4*v - 8. Let c(g) = 98*g**3 + 1471*g**2 + 5*g + 66. Let m be c(-15). Calculate the highest common divisor of k and m.
12
Let i = 100 - 36. Let p = -58 + i. What is the highest common factor of 6 and p?
6
Suppose -j - j + 8 = 0, 3*w - 3*j = -429. Let m = 216 + w. What is the highest common factor of m and 7?
7
Let z(h) = 17*h**2 - 44*h - 278. Let w be z(-19). Calculate the greatest common divisor of w and 39.
13
Let m = -483 + 903. Suppose m = -27*d + 34*d. What is the greatest common divisor of d and 60?
60
Let c = 109 - 78. Let x = c + -31. Suppose x = 5*j - 11*j + 630. Calculate the highest common divisor of j and 21.
21
Suppose y = -4*f + 727, -4*y + 9*y = -f + 177. Let i be (-2)/(f/(-36) + 5). Calculate the highest common factor of i and 900.
36
Let h(c) be the first derivative of -c**4/4 - 14*c**3/3 - 6*c**2 + 28*c + 40. Let q be h(-12). Let p = -107 - q. Calculate the highest common factor of 1 and p.
1
Let r(k) be the third derivative of 0*k - 1/2*k**3 + 0 - k**2 + 1/3*k**4. Let q be r(4). What is the greatest common divisor of 261 and q?
29
Let w(u) = 137793*u + 12*u**2 + 1 - 137791*u + 28*u**2. Let n be w(2). What is the greatest common factor of n and 30?
15
Let i be 13 - 4 - (3 - 0). Suppose i*p + 914 = 5*g + 2*p, -2*g = -2*p - 366. Suppose -73*b = -171*b + 1372. Calculate the greatest common factor of g and b.
14
Suppose 156*m + 253*m = 75*m + 39078. Calculate the highest common factor of 299 and m.
13
Let f = 91335 + -61204. Calculate the greatest common factor of 29 and f.
29
Suppose 423*t + 320 = 433*t. Let b = 359 + -215. Suppose 4*y - b = -4*x, -3*y + 68 = 2*x - 2*y. Calculate the greatest common divisor of x and t.
32
Let t = 11961 - 10281. What is the greatest common factor of t and 378?
42
Let y(s) = s**3 + 8*s**2 - 3*s + 8. Let v be y(-8). Let l(u) = -u**2 + u - 321. Let x be l(0). Let p = 31 - x. Calculate the highest common factor of v and p.
32
Suppose 0 = -4*z + 2*l + 356, -z + 215 - 117 = 4*l. Calculate the highest common factor of z and 2910.
30
Let c be (897/(-161))/((-1)/63). What is the highest common divisor of c and 27?
27
Suppose 344*l + 98*l - 13035 = 26303. What is the greatest common divisor of 9701 and l?
89
Suppose -12*z - 39 + 87 = 0. Let b = 34 + -7. Suppose 4*g - b = -3*h - 8, -h = -g - z. What is the greatest common factor of h and 10?
5
Let h = 1408 + -1393. Suppose -368 - 507 = -7*q. What is the highest common factor of h and q?
5
Suppose -5*b = u - 29, b + 93 = -12*u + 17*u. Suppose -3*l + 353 = -160. Calculate the highest common divisor of l and u.
19
Let w = -1 + -1. Let x(y) = 15*y**2 - 3*y - 2. Let g be x(w). Let n = -575515 + 575707. Calculate the greatest common divisor of g and n.
64
Let y(l) = l**3 + 59*l**2 + 64*l + 447. Let z be y(-58). What is the highest common divisor of 15543 and z?
99
Let i = 21 - -33. Let b = 17 - i. Let u = b + 39. Calculate the highest common factor of u and 10.
2
Let r(d) = -567*d + 1746. Let f be r(3). Suppose -5*a - 126 = -981. What is the highest common divisor of a and f?
9
Let x(m) = 16*m**2 + m + 1. Let t be x(-1). Suppose 0 = t*i - 751 + 207. Calculate the greatest common divisor of 51 and i.
17
Suppose k + 12 = 2*k. Let i be 3/18*(4 - 6) + (-19494)/(-162). Calculate the highest common divisor of i and k.
12
Let r be (6 - 5)*1/((-3)/(-9)). Let a(y) = r*y + 3*y**3 + 2 - 4*y - 5*y**2 - 3. Let f be a(3). Calculate the greatest common divisor of 4 and f.
4
Suppose 5*d + 4 + 11 = 0, 8 = -o - 4*d. Let c be 18 - ((o - 4) + 0). What is the highest common divisor of c and 72?
18
Let q = 19493 + -15632. What is the highest common divisor of q and 33?
33
Suppose -2*m = -0*m - 88. Suppose 3*r - 129 = 219. Let k = r - 105. Calculate the highest common divisor of k and m.
11
Let b be (1168/1460)/(6/920*-2)*-3. What is the highest common factor of b and 388?
4
Let c = -15344 + 24386. Calculate the greatest common factor of 33 and c.
33
Let l = -18472 + 18515. What is the highest common divisor of 4429 and l?
43
Let o = -338 - -347. Let n be 2 + (-9 - -5) + o. Suppose 18 = -2*b + 326. Calculate the highest common divisor of n and b.
7
Let y be (58/(-10))/(-2 + (-3690)/(-1850)). Calculate the highest common factor of 58 and y.
29
Let d be 11 + 32 + (-42)/6. Calculate the greatest common factor of 116 and d.
4
Let l = -727 + 759. Let o be 3 - (8 - 1) - -204. What is the greatest common divisor of o and l?
8
Suppose 134*f = 139*f - 5*n - 94870, 18968 = f - 2*n. Calculate the greatest common factor of f and 260.
260
Let y be 44/(-1) + (-6 - -10). Let u = 10 - y. Let b = -40 + u. Calculate the highest common factor of 50 and b.
10
Let f be ((-470)/55 + 8)*-418. Calculate the highest common factor of 72 and f.
12
Let j(z) = 6 + 0 + 14*z**2 - 3*z**2 - z - 4. Suppose 50*n - 6*n = 88. Let p be j(n). Calculate the highest common divisor of 22 and p.
22
Let g(j) = -4*j + 11. Let s be g(-8). Suppose -3*k = 2*a - 71, 7*k - 109 = -3*a + 3*k. Calculate the greatest common divisor of s and a.
43
Suppose -4*x - 2*a = -3*a - 17, 2*a + 18 = 4*x. Let o(m) = 87*m - 3. Let v be o(x). Calculate the greatest common factor of 15 and v.
15
Let r(k) be the third derivative of -9*k**2 + 0 + 7/60*k**5 + 0*k - 1/6*k**4 - 5/6*k**3. Let f be r(5). Calculate the greatest common divisor of 15 and f.
15
Let p be -30*14/(-9)*30/35. Let c = p + -36. Suppose -c*v + 739 = 167. What is the greatest common factor of 13 and v?
13
Suppose 6*g + 5*w + 24 = 7*g, 2*w = -8. Suppose -352 = -4*c - g*c. Let b be (12/(-5))/(4 + (-222)/55). What is the highest common divisor of b and c?
22
Let r = -23584 - -24934. Calculate the highest common divisor of r and 2565.
135
Let u = 6511 + -6479. What is the greatest common factor of 472 and u?
8
Suppose -224 = -13*c + 9*c. Suppose -2*u + 2*m + 10 = -6, 2*m - c = -4*u. Suppose -16*i + 124 = -u*i. Calculate the highest common divisor of 124 and i.
31
Let f(r) = -3*r + 16. Let x be f(-13). Let g be 286/(-12)*15*-2. Calculate the greatest common divisor of x and g.
55
Let t(s) = -4*s**2 - 36*s + 5. Let v(b) = b**3 - 7*b**2 - 17*b - 18. Let l be v(9). Let o be t(l). What is the greatest common divisor of o and 15?
5
Let v(y) = -y**3 + 4*y + 144. Let c be v(0). What is the greatest common factor of 1056 and c?
48
Let l(a) = 5*a + 16. Let y be l(0). Let c = 39 - y. Let j = c + -19. Calculate the greatest common factor of j and 32.
4
Let j be (6 - 432/63)/((-2)/14). Suppose -7200 = -j*f - 26*f. What is the greatest common divisor of f and 27?
9
Let t(c) = 47*c + 43. Let x be t(6). What is the greatest common divisor