1
Suppose 115 = -165*u + 160*u. Let m(b) = -2*b - 36. Let t be m(u). What is the highest common divisor of t and 25?
5
Let h(b) = b**2 - 2*b. Let u(p) = -6*p**2 + 7*p + 6. Let n(z) = -5*h(z) - u(z). Let q be n(-7). Calculate the greatest common divisor of 2 and q.
2
Let h(w) = 36*w**2 - 131*w - 377. Let g be h(-3). What is the highest common factor of g and 646?
34
Suppose 6 = -3*r, 4*q + r + 3*r = 556. Let h = -38782 + 39252. What is the highest common divisor of q and h?
47
Let r = -2498 - -6722. Calculate the greatest common factor of r and 99.
33
Suppose 897 = 180*r - 111*r. Calculate the greatest common divisor of r and 65.
13
Let i be (-1)/(-3)*(-12 - 3)*-1. Suppose -3*s - 5*l + 116 = 0, -i*l - 10 = -s + 2. Suppose -72 = -8*q + s. Calculate the highest common divisor of q and 52.
13
Suppose -4*d - 16*j + 15*j = -999, 753 = 3*d - 3*j. Calculate the greatest common divisor of 1625 and d.
125
Let f be ((-5446948)/(-218))/(2 - (0 - 0)). What is the highest common divisor of 13 and f?
13
Suppose -k + 3765 = 14*k. Let v = 503 - k. What is the highest common divisor of v and 28?
28
Suppose -19*w + 10 + 47 = 0. Let i be 84/(-7)*1/w + 30. Calculate the greatest common divisor of i and 442.
26
Suppose 0 = -5*u + k + 32, 0 = 3*k + 4 + 2. Let r(x) = 4*x - 16. Let c be r(u). Calculate the greatest common factor of c and 32.
8
Let h(o) = o**2 + 25*o - 2*o**2 - 36*o + 5. Let d be h(-14). Let x = d - -39. What is the highest common factor of x and 22?
2
Suppose 4*y + 5*u = 5832, 2*y = 6*y + 2*u - 5832. Suppose -j = f - 507, -3*f + 84 = -4*j - y. What is the highest common factor of 306 and f?
102
Let x be 640/(-240)*1161/(-15) + (-2)/5. Calculate the greatest common divisor of x and 55414.
206
Let z be (-1 + 0)*(0 - 55). Let o(t) = -17*t - 114. Suppose -2*q = -5*h + 3 - 41, 41 = -5*h - q. Let a be o(h). Calculate the highest common divisor of a and z.
11
Suppose 0*v = -24*v + 3*v + 273. Calculate the highest common divisor of 2145 and v.
13
Let i(v) = 3*v**2 - 14*v - 17. Suppose 3*o - 4 = 4*f, 5*o - 19 = 2*o + f. Let l be i(o). Calculate the highest common divisor of 21 and l.
21
Let k be (-2 - (-72)/3)*(6 - 5). Let u be 0 + 435 + -4 - -1. Suppose 3*q + 3*l - 222 = 0, -l = -5*q - 44 + u. What is the highest common factor of k and q?
11
Let t be 16/6*66840/(-160). Let d = t + 2234. Calculate the highest common divisor of d and 80.
80
Suppose 14*p + 274 = 288. What is the highest common factor of 151 and p?
1
Let g(y) = 30*y - 756. Let h be g(28). Calculate the highest common divisor of 42 and h.
42
Suppose 31*o + 9303 - 51432 = 0. Calculate the greatest common factor of 18 and o.
9
Let d = -87 + 178. Let q be (d/3)/(-3 - (-24)/9). Let p be 3/12 + q/(-4). What is the highest common factor of 23 and p?
23
Suppose -2*b + 30 = 5*s, 2*s = b - 3 + 6. Suppose -b*l + 84 = 9*l. Calculate the highest common divisor of l and 54.
6
Suppose 4*u - 260 = 2*y, -2*u + 0*u + 3*y = -134. Suppose -20*s + 4586 = 3306. What is the highest common factor of s and u?
64
Let w = 291 - 257. Let i(c) = 442*c**2. Let j be i(1). What is the greatest common factor of j and w?
34
Suppose -2149312 = -190*s + 14*s. What is the greatest common factor of s and 86?
86
Let w be 12/(-36)*30 + 3 + 844. Calculate the greatest common divisor of 4 and w.
1
Suppose -3*n + 2*n = -55. Suppose 664*i - 646*i - 518 - 424 = 642. Calculate the greatest common factor of i and n.
11
Let h(m) = -m**3 - 43*m**2 + 261*m - 269. Let f be h(-51). What is the greatest common divisor of 78 and f?
26
Let a = 80 + -128. Let k = a + -4. Let h be k*(1 - 10/5). What is the highest common divisor of 65 and h?
13
Let t = 8245 + -7992. What is the highest common factor of t and 220?
11
Let c be ((-228)/10)/((-5)/25). Let t be 273 - (183 - 3)/(-15). Calculate the greatest common divisor of c and t.
57
Suppose 4*j + 3*c = 81, -107*j + 2*c = -110*j + 62. Calculate the greatest common factor of j and 3276.
12
Let w be (-5 + 3)/((-10)/45). Let x be (-138)/(-1)*6/w. Let o(l) = -2*l + 23. Let n be o(0). What is the highest common divisor of x and n?
23
Let u = 10530 + -10490. What is the greatest common factor of u and 215?
5
Suppose 542 + 410 = 13*x - 6*x. What is the greatest common divisor of 3604 and x?
68
Suppose -11*d + 581 = -706. Let z be (-3)/(2*2/(-4)). Suppose 222 = z*n - 4*y, -3*y + 44 = n - 43. What is the highest common divisor of d and n?
39
Let z = -2677 - -2702. Let a(x) = x**2 + 5*x + 1. Let i be a(-5). Let k = z + i. Calculate the greatest common divisor of k and 234.
26
Let s(u) = -477*u**2 - 2. Let j be s(1). Let v = j + 521. Calculate the greatest common factor of v and 6.
6
Let t(p) = -p**3 - 49*p**2 - 47*p + 273. Let r be t(-48). What is the greatest common divisor of 525 and r?
75
Let h be (-10)/(-3)*(138/(-4))/(-23) + 5. What is the highest common factor of 25490 and h?
10
Let v(f) = f**3 + 17*f**2 - 6*f - 8. Let u be v(-6). Let q = u - 372. Calculate the greatest common divisor of 468 and q.
52
Suppose -7*v + 5*v - 9 = -d, 0 = -4*d + v + 22. Suppose d*b = -6*b + 363. What is the highest common factor of b and 11?
11
Suppose -163*b + 4*b = -125928. Calculate the greatest common divisor of b and 252.
36
Suppose 19 + 17 = 4*v + 3*u, v = u + 2. Suppose -2*m = 5*x - 10 - 22, -3*x + m = -17. What is the highest common divisor of x and v?
6
Suppose 0 = -5*l - 4*w - 6691 + 20495, -w + 11041 = 4*l. What is the greatest common divisor of 45 and l?
15
Let g(b) = 596*b - 8. Let j be g(1). Let u(c) = -13*c - 1. Let w be u(-1). What is the greatest common divisor of j and w?
12
Suppose -8*c + 57495 + 56591 = 21*c. Calculate the greatest common divisor of 14 and c.
14
Let o be (2 + -3 + 2)*5. Suppose -2*s - 3*t = -15, -2*s + 4 = -t - 15. Suppose 0 = -o*d + s*d - 224. Calculate the greatest common factor of 14 and d.
14
Let j(a) = -a**3 - 20*a**2 - 28*a - 6. Let s be j(-19). Suppose -105 = -6*y + s. What is the highest common divisor of y and 30?
15
Let d be (6 - -81)*(-1)/3. Suppose 2*y - y = 2, -z + 4*y = -22. Let p = z + d. Calculate the greatest common factor of p and 14.
1
Suppose -69*u + 62*u = -28. Suppose 3*b - 5*f = -3*f + 784, 2*f - 1036 = -u*b. Suppose 8*s - 13*s + b = 0. What is the highest common factor of s and 572?
52
Let y(z) = 50*z**2 - 10*z + 86. Let s be y(5). Suppose -2*m + 25 = 2*g - 493, 5*g = 4*m + s. Calculate the greatest common factor of 430 and g.
86
Let k(n) = n**3 + 24*n**2 - 53*n + 28. Let u be k(-16). What is the greatest common factor of u and 516?
172
Let l = 4568 - 4322. What is the greatest common factor of l and 1353?
123
Let i = 7973 + -7966. What is the greatest common divisor of i and 22113?
7
Suppose -5*i + 3*s + 825 = 0, 0 = -2*i - 4*s + 437 - 107. What is the highest common divisor of i and 22?
11
Suppose d - 33 = 267. Suppose 0 = -2*j - 5*z + 80, -1810*j + 1814*j - z - 50 = 0. What is the greatest common divisor of d and j?
15
Let k = -11056 + 15268. Calculate the highest common factor of k and 52.
52
Let b(g) = g**3 - 10*g**2 - 3*g - 57. Let h be b(9). Let n = h + 174. Let f = -134 - -206. Calculate the highest common factor of f and n.
9
Let p(o) = o**3 - 6*o**2 - 95*o + 164. Let v be p(-7). Let f(d) = 8*d + 4. Let c be f(4). Calculate the greatest common factor of c and v.
12
Suppose 0 = 18*n - 14*n + 452. Suppose -77 = -3*o - 284. Let i = o - n. What is the greatest common factor of 44 and i?
44
Let z be ((726/(-44))/33)/(2/(-488)). What is the greatest common divisor of z and 7198?
122
Let u(d) = d - 5. Let x be u(10). Suppose -6*r + 2 = -x*r. Suppose 50 - 34 = c. What is the highest common divisor of c and r?
2
Let b be (-140)/(-75) - (-4)/30. Suppose -x + 4*w = 4, -w = b*x - 2 + 1. Suppose -17*v + 21*v - 1408 = x. What is the greatest common divisor of v and 44?
44
Suppose 6 = 3*c - 4*z, -247*z + 252*z = -4*c + 70. What is the greatest common factor of 10390 and c?
10
Let f = -4359 + 4557. What is the highest common factor of 54 and f?
18
Suppose 0 = 5*o + 5*f - 40, -6*o + 24 = -o + f. Suppose c - 36 = -3*t - 6, -53 = -o*t + 3*c. Calculate the greatest common divisor of t and 539.
11
Suppose f + 2565 = -867. Let j be ((-6)/(-4))/((-117)/f). What is the greatest common divisor of 396 and j?
44
Let g(t) = t**3 + 3*t**2 - 5*t + 27. Let o be g(-5). Suppose 318 = h + o