a). Calculate the greatest common divisor of 13 and s.
13
Suppose 441 = 2*m + 1. Let a(p) = m - p - 4*p + 6*p - 3*p. Let w be a(0). What is the highest common divisor of w and 20?
20
Let x = 21 - 15. Suppose 3*z + 13*g - 17*g = 211, -3*g = -24. Calculate the highest common factor of z and x.
3
Let z(k) = -k**2 - 5*k + 12. Suppose -3*q + 2*q + 2 = 0. Let c be z(q). Let m be (11 - 51)/(c/8*1). Calculate the greatest common factor of 20 and m.
20
Let z be (4 - 173/(-4)) + 3/4. Suppose -6*o - 477 = -1245. What is the highest common divisor of o and z?
16
Let r be -1 + (-9 + -84)/(1 - 4). Let h(v) = 392*v**2 - 3*v + 1. Let q be h(1). What is the highest common divisor of r and q?
30
Suppose -4*v + 0*v = -228. Suppose -7826*c = -7851*c + 22971 + 4104. What is the greatest common factor of v and c?
57
Suppose 4*w = -4*a + 72, -w - 4*a + 28 = -a. Suppose 428*q + w = 429*q. What is the highest common factor of q and 403?
13
Let d be 45247/7 - (18 + 889/(-49)). Calculate the highest common divisor of d and 128.
64
Suppose 0 = -2*t - 126 + 166. Suppose 0 = -t*h + 19*h + 192. What is the greatest common divisor of 12 and h?
12
Let c(h) = -2*h**2 + 16*h + 720. Let j be c(21). Let k(q) = q**2 + 11*q - 10. Let o be k(7). Calculate the highest common factor of j and o.
58
Let v(h) = h - 8. Let j be v(6). Let r be 18/(-3)*(j + 5/3). Suppose 3*q + q - 64 = -2*w, -5*w - r*q + 144 = 0. What is the highest common factor of 84 and w?
28
Suppose 5*h - 2*d - 537 = 0, -3*h = -267*d + 264*d - 333. What is the greatest common divisor of 4130 and h?
35
Suppose 0 = -58*p + 66*p - 23256. Calculate the greatest common factor of 9 and p.
9
Suppose 7*t = g + 3*t - 5, 3*g = -t + 28. Let q(m) = -3*m + 65. Let l be q(g). Calculate the highest common factor of 266 and l.
38
Suppose 26*f = -3*x + 28*f + 67, 4*x = 3*f + 90. Let d be 3*2*(-2 + 3). Calculate the greatest common divisor of d and x.
3
Suppose -11*k - 6272 = -4*a, -k - 1568 = 57*a - 58*a. Suppose -l + 37 = 5. Calculate the greatest common divisor of a and l.
32
Let o be 2*-2 + -41 + 50. Suppose -3*b + o*q = -2, 4*q - 22 = -4*b + q. What is the greatest common factor of b and 108?
4
Let a(h) = -37*h - 354. Let g be a(-14). What is the highest common divisor of g and 2132?
164
Suppose -430 = 4*z - 6*z. Let k be -1 + 200/(-300) + (-1042)/(-6). Calculate the highest common divisor of k and z.
43
Let d be 4 + (38/(-10) - -3)*-230. What is the greatest common factor of d and 1410?
94
Suppose 328945 + 113903 = 14*g. What is the greatest common factor of 12 and g?
12
Let m = 250 - 196. Let n be (-20 + -57)*36/(-14). What is the highest common divisor of n and m?
18
Suppose d - 718 = 3*x, -27*d + 32*d - 3603 = 2*x. Calculate the greatest common divisor of d and 21.
7
Let o(g) = 13*g + 288. Let p be o(-7). What is the highest common divisor of 18518 and p?
197
Let q be (43 - 101 - -1*4)*(-1)/2. Let f = 49 + -13. Calculate the highest common factor of q and f.
9
Let v(j) = -2*j - 61. Let w be v(0). Let b = 87 + w. Let z = b - 11. What is the greatest common factor of 105 and z?
15
Let p be (-57 - -19)*(1 - 18/4). Let d be 70/(3 + 2/(-1)). Suppose 4*f = o - 27, 0*f - 3*f + d = 4*o. Calculate the highest common divisor of o and p.
19
Let k be (9968/840 - 12) + 14042/15. Calculate the highest common factor of 637 and k.
13
Let f(k) = k**2 - 6*k - 43. Let x be f(11). Suppose -7*r = -x*r + 420. Calculate the highest common divisor of r and 48.
12
Let b = 32 + 254. Suppose 0 = -24*h + 50 + b. What is the highest common divisor of h and 21?
7
Suppose 10939 = -213*w + 54391. What is the greatest common factor of w and 8?
4
Suppose -z + 13 - 3 = 0. Let s(d) = d**3 - 7*d**2 - 6*d - 1. Let n be s(8). Suppose n*g = z*g + 85. Calculate the highest common divisor of g and 17.
17
Suppose -3*a - c = -28, -5*a + 29 = 3*c - 15. Let o(r) = 24*r. Let w be o(5). What is the highest common divisor of w and a?
10
Let c = 1603 + -1566. Calculate the greatest common divisor of 11 and c.
1
Suppose 0 = -2*b + 2*w + 222, 4*b - 404 = -6*w + 2*w. Suppose 0 = -8*x + 2648 - 528. Calculate the greatest common divisor of b and x.
53
Suppose -187*f - 128 = -191*f. Calculate the highest common factor of f and 368.
16
Let s be (32/(-6))/((-8)/12). Let q be 29 - ((0 - s) + 6). Calculate the highest common divisor of q and 527.
31
Suppose 2*a + 8*a = 630. Let j(m) = -3*m + 36. Let d be j(12). Suppose -3*s - 12 = d, -y - s - 2*s = 3. Calculate the greatest common factor of y and a.
9
Let h be (-2)/6 + (-5224)/(-12). Let t = -4323 + 4338. Calculate the highest common factor of h and t.
15
Let o(z) = z**2 - 6*z + 23. Let y be 345/21 + (-9)/21. Let f be o(y). Calculate the highest common factor of f and 3.
3
Let g be 12933/(-63)*168/(-16) - (-3)/2. What is the greatest common divisor of 3 and g?
3
Suppose 2*k + 122 = -3*m, -2*k - 2*k - 246 = 5*m. Let x be 288/k*(0 - (-230)/(-3)). Calculate the greatest common divisor of x and 15.
15
Let w = -1 + 18. Let a = w + -12. Let f be -7 + 17 + 29 + 15 + -22 - 12. Calculate the highest common divisor of f and a.
5
Suppose -224 = -9*j + 5*j. Let d = -11 - j. Let x = d + 112. What is the highest common divisor of 18 and x?
9
Let b be (-15)/(-3)*5/25. Suppose -8 = -x - 14. Let r be (-13 - x - -9)*(2 - b). What is the greatest common divisor of r and 14?
2
Let x(z) = 3*z**2 - 160*z - 211. Let c be x(55). What is the greatest common factor of 100 and c?
4
Let x be (-27)/(-9)*(-2 - (-9 + 2)). Suppose -26*u + 27*u = x. Suppose -5*t - 4*a + 93 = u, 50 = 3*t + 4*a. Calculate the greatest common factor of t and 126.
14
Let d = 767 + -725. What is the greatest common divisor of 1750 and d?
14
Suppose -198 = -3*y - 3*g, -2*g + 176 + 92 = 4*y. Suppose -5*o = -y - 47. What is the highest common factor of 253 and o?
23
Let h = -396 - -438. Let u be (-56)/((-40)/21 + h/(-441)). Calculate the greatest common divisor of u and 84.
28
Let u be ((-6)/12)/((-3)/5220). Suppose 0 = -3*a, 0*f + 5*a - u = -3*f. Calculate the highest common divisor of 174 and f.
58
Let s be 18/4*280/4. Suppose -5*c = -4*x - 450, 4577*c - 540 = 4571*c - 2*x. What is the greatest common divisor of c and s?
45
Let p(m) = 2478*m**2 + 81*m + 75. Let h be p(-1). Calculate the greatest common factor of h and 24.
24
Let i(u) = u**3 - 2*u**2 - 91*u + 96. Let r be i(-9). Calculate the highest common factor of 1668 and r.
12
Suppose -38 + 158 = 3*z. Suppose -6*r + z = -86. Suppose 0 = -4*k + 35 + r. What is the highest common factor of k and 42?
14
Let n(d) = -355*d - 314. Let o be n(-2). What is the highest common divisor of o and 858?
66
Let h be 79/1422*1*50889 + 3/(-18). Calculate the greatest common factor of 143 and h.
11
Suppose 70*h = 44*h - 3822. Let t(r) = r**2 - 113. Let b be t(0). Let x = b - h. Calculate the greatest common divisor of x and 272.
34
Suppose -4*u - 75 = 5*l + 58, u + 102 = -4*l. Let x = l + 37. Let j(z) = 2*z + 48. Let v be j(-22). What is the greatest common factor of v and x?
4
Let c(g) = 22*g + 237. Let k be c(-6). What is the highest common factor of 1120 and k?
35
Suppose -1337 = -6*s - 41. Let m = s - 206. What is the greatest common divisor of m and 2?
2
Suppose -5*r + 5*j + 60 = 0, -12*r + 55 = -8*r + 3*j. What is the greatest common factor of r and 3016?
13
Let p be 25/(-5 + 10) + -18. Let u be -4 - p/((-13)/(-6)). Suppose -l + 27 = -t, l - 3*t = u*t + 15. Calculate the highest common divisor of l and 6.
6
Suppose -3*f + 497 - 62 = 0. Suppose 104*b + 118*b + 5394 = 284*b. Calculate the greatest common divisor of f and b.
29
Let b(g) = -11*g**2 + 12*g - 9. Let r be b(5). Let j = -192 - r. Calculate the highest common factor of 224 and j.
32
Suppose -2*c = 7*c - 11619. Let j = 796 - c. Let k = -335 - j. What is the highest common divisor of 32 and k?
32
Suppose -31*y - 24 = -23*y. Let k be 1 + (-4 - -5 - y). Suppose 3*h + 13 = 6*h + 2*i, k*h = 5*i - 20. What is the greatest common divisor of h and 1?
1
Suppose 3*s = -5*a + 1926, 5*a - 1052 - 802 = 3*s. Let i(k) = -k**2 - k + 162. Let b be i(0). Calculate the greatest common factor of a and b.
54
Let f(n) = -8 - 52 - 66 + 50 - 13*n. Let t be f(-8). Calculate the highest common divisor of t and 91.
7
Suppose -3*c = -4*p + 84, -3*p - 5*c + 34 + 0 = 0. Suppose 82*j = 71*j + 253. Suppose j*a - 18*a - 6