. Let r(z) = -z**3 + 7*z**2 - 7*z - 4. Let u be r(4). Suppose 3*n - x = u. What is the highest common factor of n and 1?
1
Let f(k) = 6*k + 1. Let b be f(4). Suppose -72*c - 9531 = -18531. What is the greatest common factor of b and c?
25
Suppose 0 = 2*v - z - 19, -41*v + 2*z + 16 = -39*v. Suppose q - v = 1. What is the greatest common divisor of q and 240?
12
Suppose 15 = -3*v, 7*h - 5*v + 1783 = 3*h. Let d = h + 500. What is the greatest common divisor of 120 and d?
24
Let g = 63504 + -39852. What is the highest common factor of 292 and g?
292
Let u(z) = z**2 - 44*z - 168. Let l be u(48). What is the highest common factor of l and 2052?
12
Let f(m) = -m**3 - 63*m**2 + 135*m + 130. Let j be f(-66). What is the greatest common divisor of 67 and j?
67
Suppose -3*d = -111 + 99. Suppose 9*y - 14*y - 2652 = -d*n, 5*n = y + 3294. Calculate the greatest common divisor of n and 94.
94
Suppose 6*l + 128 + 64 = 0. Let x = 37 + l. Suppose -c + 5*c - 1096 = x*a, 0 = -c + 5*a + 259. What is the highest common factor of 31 and c?
31
Let u(n) = 3*n**2 - 3*n**2 - 18*n - n**2. Suppose 23*p + 58 = 19*p + 3*b, b = 2*p + 30. Let q be u(p). Calculate the highest common divisor of q and 4.
4
Let t be (-374)/(-68) + (-3)/(-1 - -7). Suppose -4*u + 16 = 0, -t*m + 6*u = 8*u - 608. What is the greatest common factor of 6 and m?
6
Suppose -209 = -93*h + 814. Suppose -89 - 263 = -4*u. Calculate the greatest common factor of h and u.
11
Suppose 0 = 3*y + y - 64. Suppose -4*f = -y - 12. Let w(t) = t**3 - 6*t**2 - 5*t + 6. Let x be w(f). What is the highest common divisor of x and 100?
20
Suppose 0*c = 4*c + 20. Let x(g) = 103 - g + 107 + 105 - 312. Let i be x(c). What is the greatest common factor of 64 and i?
8
Let k = 94 + -93. Suppose 4*r = 4*u - 248, -3*r + 2*r = -1. Let l = 65 - u. Calculate the highest common factor of k and l.
1
Suppose t - 7 = -3*k, -22*k + 24*k - 3 = -t. Suppose -k*m + 5*n = 2, 3*n - 16 = -5*m - 0*n. What is the greatest common factor of 71 and m?
1
Let z(i) = i**3 - 9*i**2 + 18*i - 7. Let m be z(10). Calculate the greatest common factor of m and 910.
91
Suppose -856 = -31*l + 13 - 187. What is the highest common factor of 737 and l?
11
Let k be ((-560)/490)/((-6)/(-7) - 1). What is the highest common factor of k and 18248?
8
Suppose 3*u - 2*n - 3068 = -4*n, 2*u - 2054 = 3*n. Calculate the greatest common divisor of 12 and u.
4
Let z be -85 + 5*-2*9/30. Let o = 124 + z. Suppose -15*n + 18*n - o = 0. What is the greatest common divisor of n and 60?
12
Let w = 13174 + -9205. What is the greatest common divisor of 21 and w?
21
Let b(i) = 3*i**3 - 29*i**2 + 45*i - 4. Let y be b(8). Calculate the greatest common factor of y and 273.
3
Let s be (-72)/(-6) - 7/(21/(-24)). Calculate the greatest common divisor of 3540 and s.
20
Suppose p + 4*t = -23 + 1, 5*t = -2*p - 59. Let m = 128 + p. Calculate the highest common divisor of 43 and m.
43
Let k = -5114 - -5138. Calculate the greatest common divisor of 596 and k.
4
Suppose 5*x - 2*y = 2*x + 157, 0 = -3*y - 15. Suppose -4*r + 93 = 33. Suppose 0 = -5*z + r, z + 2*z = 2*l - 5. What is the highest common factor of x and l?
7
Let y(b) = -b**2 + 27*b + 53. Let k be y(29). Let s be (-1)/2*14586/(-33) + k. Calculate the highest common divisor of 162 and s.
54
Suppose 0 = -7*s + 5*s + 144. Let h(c) = 5*c + 20*c**2 + 3 + 3 - 19*c**2 - 4*c. Let q be h(-7). What is the greatest common divisor of s and q?
24
Suppose 12*q - 26 = z, 56*z + 5*q + 25 = 60*z. Calculate the greatest common divisor of z and 9740.
10
Suppose -40*p - 30 = -42*p. Suppose -132 = -5*w - 4*m, m + p = 6*m. Calculate the greatest common factor of w and 384.
24
Let k = -5354 + 5569. What is the highest common factor of k and 559?
43
Let a(i) = -15634*i**3 - 3*i**2 + 5*i + 7. Let y be a(-1). What is the highest common divisor of 193 and y?
193
Let x = 1550 - 705. Calculate the highest common divisor of x and 20.
5
Let m(g) = 3*g + 5027 - 15*g - 5047 - 3*g. Let k be 2/(-3) - 26/6. Let z be m(k). Calculate the greatest common divisor of 5 and z.
5
Suppose 8*h - 5561 = 4183. Calculate the greatest common factor of h and 126.
42
Let z be 33/77 - 1607/(-7). Let p = 263 - z. Let l be 2/5 + (-52)/(-20). What is the greatest common divisor of l and p?
3
Suppose 2*r + 4*n = -16, 5*n + 4 + 9 = r. Let s be (10*r)/(20/(-30)). Suppose 25*p - s*p = -110. Calculate the highest common factor of p and 22.
22
Let h(g) = -g**2 + 50*g + 980. Let k be h(63). What is the highest common factor of k and 4347?
161
Let w(r) = -392*r + 12287. Let y be w(31). What is the highest common factor of y and 7515?
45
Let y(w) = w**3 + 12*w**2 - 15*w - 23. Let t be y(-13). Let v be -1*t/1 - -25. Calculate the highest common factor of 286 and v.
22
Let x(k) = -k**3 + 18*k**2 + 42*k - 17. Let h be x(20). Suppose 16*g = 343 - h. What is the highest common divisor of g and 10?
10
Suppose 4*h + 14*h - 6*h = 5928. What is the highest common divisor of 286 and h?
26
Suppose 5*k = 3*l + 1665, -55*k + 53*k + 692 = 4*l. Calculate the highest common factor of 483 and k.
21
Suppose -3*m = -2*v - 7, m - v + 24 = 5*m. Suppose 3*f + 17 - m = 0. Let a be 3/(6/f)*(-17 + 4). Calculate the greatest common divisor of a and 52.
26
Let p(u) = -10*u**3 + 4*u**2 - 20*u - 40. Let z be p(-2). What is the highest common factor of 9408 and z?
96
Suppose -5*d + 3*f + 11542 = 0, 11*f = 2*d + 16*f - 4592. Let m = -957 + d. Calculate the highest common factor of m and 71.
71
Let z(n) = 200*n + 202*n + 91 - 399*n. Let p be z(-21). Let w be (-42)/4*(-2)/3. What is the greatest common factor of w and p?
7
Let g(k) = 80*k**2 - 17*k + 40. Let d be g(2). What is the highest common factor of d and 10?
2
Let y = -904 + 908. Suppose 3*h - y*l - 136 = 0, -5*h - 4*l = -2*l - 244. What is the highest common factor of 120 and h?
24
Suppose -n + 4*p = -286, -4*n + 1068 = 6*p - 3*p. Let a be (6 + n/(-35))*-7. Calculate the greatest common factor of a and 9.
3
Let d = -2782 - -6058. What is the highest common divisor of 27 and d?
9
Let m(y) = 3*y**2 - 17*y - 4. Let b be m(7). Suppose 7*c - 820 = -64. What is the highest common factor of b and c?
12
Let l be (1 - 142/6)*(54 + -36)/(-6). Calculate the highest common divisor of 11492 and l.
68
Let i(w) = w**3 - 32*w**2 + 36*w - 145. Let j be i(31). Suppose -o - 7 = -x, 5*x - j*x - o + 5 = 0. What is the highest common factor of x and 134?
2
Let p be 3/4 - 2058/56. Let a be p/(-3) + (-4 - -4). Let o = 164 - 128. Calculate the highest common divisor of a and o.
12
Let p(r) = 13*r + 72. Let g be p(-4). Suppose 10026 + 1454 = g*z. Calculate the highest common divisor of 14 and z.
14
Let h = 4859 - 4004. What is the highest common divisor of h and 30?
15
Let i be (1 - 0) + 0 + 71. Let n = -311675 + 311683. Calculate the highest common divisor of i and n.
8
Let t(x) = -2*x**2 - 21*x - 44. Let k be t(-7). Suppose 2*f + f - 615 = k*w, 0 = -2*f - 4*w + 388. Calculate the greatest common factor of f and 500.
100
Suppose -3*p + 2*w = -529, 2*p + 14*w - 378 = 9*w. Suppose o + p = 5*o - 5*v, 3*v = 15. Calculate the greatest common factor of 51 and o.
51
Let k be 4/10 + 861/35. Let p(c) = -74 - 82 - 81 + 217*c + 245. Let n be p(1). Calculate the highest common divisor of n and k.
25
Let c(d) = 1537*d**2 - 2*d - 42. Let l be c(-3). What is the highest common divisor of l and 252?
63
Let q(c) = -6*c + c**2 - 14*c - 4*c + 54 + 34*c. Let g be q(-4). Calculate the greatest common factor of g and 6.
6
Suppose 4*a = -2*z - 86, -18*a + 21*a + 4*z + 62 = 0. Let o be a/(-77) + ((-162)/21)/(-1). What is the highest common factor of 88 and o?
8
Suppose 0 = -3*h + 2*h + 6, p - h - 13 = -9. Let g be -3*(-3)/(9/(-319)). Let n = 519 + g. What is the greatest common divisor of p and n?
10
Suppose 11*s = 9*s + 18. Let r be (-5 - (-257)/(-2))*(-8)/6. Let h = r + -79. Calculate the greatest common divisor of s and h.
9
Let l be 4/14 - 40/(-7). Suppose 3999 + 1665 = 20*c + 98*c. Calculate the highest common factor of l and c.
6
Let g = 57471 + -57456. Let x be (-626)/(-6) + 4/6. Calculate the greatest common divisor of x and g.
15
Let q(d) = -14*d + 2. Let i be q(-5). Let n(b) = 24*b**2 - 137*b - 97. Let k be n(7). What is the highest common divisor of k and i?
24
Suppose -557 = v - 409. Let d = v - -250. What is th