3
Let r(k) = -k**3 + 21*k**2 + 48*k - 28. Let b be r(23). Suppose -5 = -5*f, 3*f + 34 = -3*y + f. Let o = b + y. Calculate the highest common divisor of o and 42.
6
Let u = -117 - -131. What is the greatest common divisor of u and 28?
14
Suppose 7*b - 104 - 218 = 0. What is the highest common factor of b and 69?
23
Let o be -4*(4 + 4/16). Let a be 1*(-4)/((-8)/(-2))*o. Suppose 2*x = -5*y + 228, -2*x + 244 = -y - 2*y. Calculate the greatest common factor of a and x.
17
Let v be ((-14)/8)/((-14)/56). Suppose -5*f = -v*f + 70. What is the highest common factor of 315 and f?
35
Suppose -57 = -n + 4*d, n - 3*d - 44 = 16. Let v(k) = k**3 + 11*k**2 - 3*k + 13. Let x be v(-11). What is the greatest common factor of x and n?
23
Let l(t) = -t**2 - 7*t - 3. Let b be l(-5). Let g(u) = -5*u + 27. Let f be g(4). Calculate the highest common factor of f and b.
7
Let q be 510/36 - (11/(-6) - -2). Let k = 29 - q. What is the greatest common factor of 3 and k?
3
Suppose 29*c = 24*c + 840. Suppose 18 + 62 = 4*q + 4*u, 4*q - 2*u = 104. What is the greatest common divisor of c and q?
24
Let i = 98 - 50. What is the highest common factor of i and 36?
12
Suppose -5*t - 2 = 3. Let x(d) = -3*d**3 + d**2 + d + 1. Let k be x(t). What is the highest common divisor of k and 2?
2
Suppose -33*f = -51*f + 6372. What is the greatest common divisor of f and 2?
2
Let l = 756 - 1468. Let p be (-5)/15 + l/6. Let f = -42 - p. Calculate the greatest common factor of f and 7.
7
Let f(q) = -118*q**3 - 3*q**2 + 2. Let w be f(-1). Calculate the greatest common factor of w and 13.
13
Let n(a) = 2*a - 26. Let t be n(15). Suppose 0 = t*x - 165 + 25. Calculate the greatest common divisor of x and 14.
7
Suppose 34*d - 1293 = -2*n + 35*d, 3234 = 5*n - 3*d. Calculate the highest common factor of 258 and n.
129
Let z(h) = 9*h - 56. Let x be z(12). What is the highest common factor of 1300 and x?
52
Let k = -440 - -459. What is the highest common factor of k and 152?
19
Suppose -u + 6*u - 150 = 0. Let v = -28 - -73. What is the greatest common divisor of u and v?
15
Let l = 73 + 32. Let z = l + -81. What is the greatest common factor of 168 and z?
24
Suppose -19*k = -3874 - 382. Calculate the greatest common factor of 7 and k.
7
Let z(c) = c + 1. Let v be z(2). Let l be (-1)/(172/88 - 2). Let x = 49 - l. What is the greatest common factor of v and x?
3
Let w = -1566 + 1719. Calculate the greatest common factor of 36 and w.
9
Let w(p) = p**3 - 11*p**2 + 51*p - 29. Let z be w(7). Calculate the greatest common divisor of z and 330.
66
Suppose 3*p + 129 = 2*a, a - 4*a + 195 = -3*p. Let m(g) = 2*g**2 - 3*g - 1. Let v be m(-3). Let r = v + -20. Calculate the highest common divisor of a and r.
6
Suppose -3622*i + 3618*i + 40 = 0. Let d(n) = n**2 - 3*n - 4. Let r be d(-6). Calculate the greatest common factor of i and r.
10
Let i(p) = 8*p + 24. Let g be i(12). Let j = g + -102. Let f(z) = 5*z + 1. Let a be f(7). Calculate the highest common divisor of j and a.
18
Let i = -1011 + 1019. What is the highest common factor of 128 and i?
8
Let m = -17 + 11. Let c be (9/4)/(m/16). Let h be (14/c)/(-1)*3. Calculate the greatest common divisor of h and 70.
7
Suppose -77*q = -85*q + 32. Calculate the highest common divisor of q and 40.
4
Let f(d) = 125*d**2 + 10 - d**3 + 11*d - 125*d**2. Let i be f(-4). What is the highest common factor of 20 and i?
10
Let h = -50 + 204. What is the greatest common divisor of h and 385?
77
Suppose -110 = -3*d - 5*m, -2*d + 4*m + 24 = -42. Let s = 47 - 12. Calculate the highest common divisor of s and d.
35
Let h(j) = 4*j + 23. Let c be h(-5). Suppose -5*p + c*f = -48, 5*f - 128 + 48 = -5*p. Calculate the greatest common divisor of p and 204.
12
Suppose 10*k - 2007 = -167. Calculate the highest common divisor of k and 23.
23
Let k = 421 - 402. What is the highest common divisor of 152 and k?
19
Let l be -2 - (1*-2 - 0). Let r(m) = 59*m + 19. Let h be r(4). Suppose -5*g + h = -l*g. What is the greatest common divisor of g and 17?
17
Suppose 0 = v - 6*v + 735. Suppose -v = -c - 6*c. Calculate the highest common factor of 63 and c.
21
Let y = -846 + 933. Calculate the greatest common divisor of y and 377.
29
Suppose -3*q - 1 = 5*h, -1 + 2 = 3*q + 4*h. Suppose -q*w + 9 = -2*w. Let j = w - 8. Calculate the highest common divisor of 7 and j.
1
Suppose 5*p - 20 = 0, 4*r + 17*p - 12*p = 76. Suppose 3*o = -9 + 21. Calculate the highest common factor of o and r.
2
Let f(u) = -u**2 + 8*u - 4. Suppose 0*t - 4*t = 8, 4*t + 11 = w. Let m be f(w). Let o = 10 + m. What is the highest common factor of o and 14?
7
Let g be 1 - 8/12*-1*9. Suppose g*v - 34 = 8. Calculate the greatest common factor of v and 114.
6
Let z = 153 + -148. Let x be 9/2 + 6/12. Calculate the highest common factor of x and z.
5
Suppose 2*k + 3*v = -2*v, 4*k = -5*v. Suppose k = -18*t + 5350 + 4946. Calculate the highest common factor of 52 and t.
52
Suppose 3*n - 2*c - 43 - 37 = 0, 0 = n - c - 25. Calculate the greatest common divisor of n and 120.
30
Let j(q) = 2*q**3 - 10*q**2 - 13*q + 8. Let t be j(6). Suppose 0 = -5*k + z + 50, 2*z - t = 2*k + 6*z. What is the highest common divisor of k and 180?
9
Suppose 78 = 72*v - 69*v. What is the greatest common factor of 260 and v?
26
Let b = -49 + 54. Let f be 743/b + -5 + (-3)/5. What is the greatest common factor of f and 13?
13
Let c(j) = j**2 + 7*j - 7. Let k be c(-8). Suppose -97 - k = -5*u - r, 80 = 5*u - 5*r. What is the highest common factor of 133 and u?
19
Let u = -33 + 33. Suppose 6*c - 21 - 87 = u. What is the highest common factor of c and 3?
3
Suppose 0*w + 4 = w + 3*y, y = 4*w - 3. What is the greatest common factor of 83 and w?
1
Let t be ((-6)/(-4))/(24/1232). Let l = t - 69. What is the greatest common factor of l and 104?
8
Let r = -325 - -390. What is the greatest common factor of 455 and r?
65
Let c = 506 + -246. What is the highest common factor of c and 20?
20
Suppose -4*c - 75 = 4*r - 359, -2*r + 72 = c. Let w(a) = 4*a**2 - 14*a + 34. Let n be w(3). What is the greatest common factor of n and c?
14
Let g(a) = -42*a + a**2 + 33*a - 2*a**2 + 1. Let f be g(-9). Calculate the greatest common factor of f and 11.
1
Suppose -10*r - 606 = -j - 14*r, 3*r + 1773 = 3*j. What is the highest common divisor of 54 and j?
54
Let r(g) = g**3 + 17*g**2 - 14*g + 18. Let x be r(-18). Let i = x + 78. Calculate the highest common divisor of i and 16.
8
Suppose 71 = 9*d - 19. Suppose -2*l + 4*g = -12, 2*l = -3*l + g + 48. Calculate the highest common factor of l and d.
10
Let z be (-1233)/(-81) + (-6)/27. Suppose -63 - z = -3*f. What is the greatest common factor of f and 65?
13
Let o = 37 + -41. Let r(t) = -t**2 - 6*t + 5. Let n be r(o). What is the highest common divisor of 13 and n?
13
Suppose -22 + 932 = 5*f. Calculate the greatest common factor of f and 14.
14
Let o be -7*2/(-3 - -1). Suppose 4*x - 20 = -5*v, 2*v = o*v + 5*x - 20. What is the greatest common factor of v and 4?
4
Suppose j - 72 = -3*j. Let o = j - 13. Suppose 0*v + o*v = -2*f + 28, -f + v + 28 = 0. What is the highest common factor of 60 and f?
12
Let q be 253/7 + 6/(-42). Suppose 5*a - 87 = v + 37, -3*a - 4*v + 56 = 0. Calculate the highest common factor of q and a.
12
Let j(r) = 2*r - 7. Let p be j(5). Suppose 289 = 2*h - p*f, -5*f - 295 = h - 3*h. Suppose 0 = -6*l + 2*l + 224. What is the highest common divisor of h and l?
28
Let t(f) be the first derivative of -f**3/3 + 8*f**2 + 22*f + 52. Let b be t(14). Calculate the highest common factor of b and 2.
2
Let t(p) = p**2 - 2*p + 3. Let k be t(3). Suppose 0*j = k*j - 30. Calculate the highest common factor of j and 55.
5
Suppose 0 = -6*c - 0*c + 1110. Let f = -130 + c. What is the highest common factor of 5 and f?
5
Let c be 32/6 - 3*2/18. Suppose -c*j + 5 = -4*j. Let n be 1*5/(-2)*-8. Calculate the highest common divisor of n and j.
5
Let z = 1 + 4. Let o(h) = h**3 - 4*h**2 - 4*h. Let t be o(z). Suppose -x + 75 = 40. What is the highest common factor of x and t?
5
Let v = 8 - 3. Let x(w) = -45*w - 530. Let g be x(-13). What is the highest common divisor of v and g?
5
Let q be ((-1)/(-1))/(12/(-12)). Let p(m) = -47*m**3 - 3*m - 2. Let g be p(q). Calculate the greatest common divisor of g and 32.
16
Let d = -16 - -4. Let u(t) = -t**2 - 16*t + 1. Let v b