28
Suppose 4*h + 47 = s, -9*s + 9*h - 13*h = -463. Let m(a) = -a**2 - 10*a + 3. Let k be m(-10). Calculate the greatest common divisor of k and s.
3
Suppose -k - 120 = -5*k. Suppose 62*i = 5*i + 24*i + 6930. What is the greatest common divisor of i and k?
30
Let p(s) = -59*s + 324. Let w be p(-7). What is the greatest common factor of 201 and w?
67
Suppose 2*i - 75 + 16 = -3*m, -4*m = 4*i - 84. Let o be m/((-13)/(-2) + -6). Calculate the highest common factor of o and 34.
34
Let t be ((3 - -95) + -3)*(-42)/(-35). What is the greatest common factor of 627 and t?
57
Suppose 4*m = -20, 3*m = -4*d + 2*m + 31. Let l be ((516 - 3)/d)/(1/3). Calculate the highest common divisor of 9 and l.
9
Suppose 4*a = -3*x + 6, 4*a + 6 = -11*x + 14*x. Let f be (5 - 7)/(x/(-12)). What is the greatest common factor of 42 and f?
6
Suppose 0 = -5*b - 3*k - 16, 4*b + 2*k + 0*k + 12 = 0. Let u(q) = -136*q + 48. Let l be u(b). What is the highest common divisor of 10 and l?
10
Let o(x) = x**3 + 50*x**2 + 44*x - 189. Let w be o(-49). What is the highest common divisor of 22 and w?
2
Let w = -3274 + 3285. What is the greatest common divisor of 8 and w?
1
Let i be (-352770)/(-891) + (-4)/(-54). Let k = -275 + i. What is the highest common factor of 11 and k?
11
Let y(n) = 13*n + 7. Let r be y(-6). Let g = r - -5. Let c = g + 121. Calculate the greatest common factor of c and 11.
11
Suppose -19*h - 10*h - 9441 = -161604. What is the greatest common factor of 106 and h?
53
Suppose 5*h + 299 = -t, -h - 314 = t + h. Let s = 372 + t. Calculate the greatest common divisor of 112 and s.
16
Let o = 129440 + -129437. Let p(u) = u + 6. Let y be p(-4). What is the greatest common factor of y and o?
1
Let u(f) = 6*f**2 - f - 1. Suppose -2*d - m + 2 = 0, -5*d - 4*m - 18 = -10*d. Let q be u(d). What is the highest common divisor of q and 56?
7
Let w be (1338 - 1) + (10 - (1 - -2)). What is the greatest common divisor of w and 512?
64
Let f(r) = 20*r**2 - 34*r - 196. Let v be f(6). Calculate the highest common divisor of v and 20.
20
Let i(o) = 54*o - 8. Let f be i(1). Suppose f*g = 45*g + 352. What is the greatest common divisor of 16 and g?
16
Let j be 465/5 - (-1 - 4). Suppose 423 - j = m. What is the highest common factor of 13 and m?
13
Let d = 40 + -36. Suppose 9*s - d*s = 15. Suppose -3*o + 5*j + 77 + 58 = 0, -s*j + 225 = 5*o. Calculate the greatest common divisor of 9 and o.
9
Suppose -2*p = b - 84, 0 = 31*p - 26*p - b - 210. Let f = 1 - -9. Let c be (30/50)/(1/f). What is the greatest common divisor of p and c?
6
Suppose -4*j + 678*w + 246 = 675*w, -2*w = -2*j + 122. Calculate the highest common divisor of j and 847.
7
Let k = -3424 - -14422. Calculate the greatest common factor of k and 9.
9
Let u = -36273 - -36793. Calculate the greatest common factor of 2470 and u.
130
Let s(y) = 23*y + 1255. Let x be s(-50). Calculate the highest common divisor of x and 480.
15
Let t(o) = 153*o**2 - 1217*o - 43. Let x be t(8). Let z(d) = -d**3 + 7*d**2 - 5*d + 1. Let c be z(5). Calculate the highest common divisor of x and c.
13
Let t be 74310/54 - 3/27. What is the highest common factor of t and 24?
8
Let f be 4*(1 + (-314)/(-8)). Suppose 0 = 13*b - 2123 - 1764. Suppose 6*u = -7*u + b. Calculate the greatest common divisor of f and u.
23
Let u = 33 - -9. Let p be u/6*(2 - -2). Let r = -72 - -86. What is the highest common factor of r and p?
14
Suppose 5*v - 7291 = -18*v. Let k be (-17)/5 + 4/10. Let y be (2/6 - v/k) + -1. What is the highest common divisor of y and 21?
21
Suppose -1 + 8 = r. Suppose -4*p - 777 = p + 2*y, 4*p = -y - 621. Let l be (p - -113)*(-3)/4*2. What is the greatest common divisor of r and l?
7
Let g(z) = -z**3 + 6*z**2 - 7*z - 19. Let m be g(7). Let v = -99 - m. What is the highest common factor of v and 27?
9
Suppose -3*q + 5*q - 2*v = 41370, -5*q + 103425 = -3*v. What is the greatest common factor of q and 105?
105
Let v = 106 + -38. Suppose -u + v - 65 = 0. Suppose -2*o = r - 15, -r = u*r + 2*o - 84. Calculate the greatest common factor of r and 92.
23
Suppose 3*z + 18 = -60. Let h = 35 + z. Calculate the highest common divisor of h and 288.
9
Suppose 0 = 68*k - 69*k + 24. Let i(v) = 2*v - 39. Let n be i(k). Suppose 0 = -r - 2*r + n. What is the highest common factor of 9 and r?
3
Let a = 3094 - 3003. What is the greatest common factor of a and 854?
7
Let o(v) = 27*v - 169. Let l(t) = -40*t + 253. Let w(q) = -5*l(q) - 7*o(q). Let i be w(10). Calculate the highest common factor of i and 42.
14
Let z(s) = s**3 - 12*s**2 + 2*s + 2. Let b be z(0). What is the greatest common divisor of 50 and b?
2
Suppose 2*g - 398 = 5*h - 974, 4*h - 2*g = 460. What is the highest common factor of h and 5452?
116
Let h(a) = -a**3 - a + 92. Let d be h(0). Suppose -2*n + d = -74. Let j = -67 + n. Calculate the highest common factor of 64 and j.
16
Let t(i) = 174*i - 4. Let s be t(2). Suppose 3*h - s = -29. Let a = h - 69. What is the greatest common divisor of 9 and a?
9
Suppose -r - 11 + 37 = 0. Let m be -6*(-24)/(-108) - (-1 - 52/12). What is the highest common divisor of r and m?
2
Suppose -4*v - 511 = -s, 11*s - 1548 = 8*s - 3*v. Calculate the greatest common divisor of s and 6077.
103
Let l = -23106 + 25229. Calculate the highest common factor of 198 and l.
11
Let y be 24/(-156) + (-5)/((-65)/873) + 1. Calculate the highest common divisor of 2329 and y.
17
Let k be (31050/200)/((-9)/(-24)). Calculate the greatest common divisor of 230 and k.
46
Let x(h) = -15*h**2 - 2*h**3 + 15*h + 0*h**3 + 8 + 3*h**3. Suppose 37*r = -20*r + 798. Let p be x(r). Calculate the greatest common factor of 2 and p.
2
Let p be (-3 - -1762) + (-13)/((-91)/42). Suppose 19*s + 357 = 20*s - d, -5*d + p = 5*s. What is the highest common factor of 213 and s?
71
Let y(z) = -26*z - 2242. Let f be y(-90). Calculate the highest common divisor of 434 and f.
14
Let i(b) = 3*b**3 - 20*b**2 + 3*b - 2. Let d be i(9). What is the greatest common divisor of d and 64?
16
Suppose 7867*a - 7822*a = 1080. Calculate the greatest common factor of a and 564.
12
Let s be 4218 - ((-91)/14 - 2/(3 - 7)). Calculate the highest common divisor of s and 165.
33
Let s = 9768 - 8804. Calculate the greatest common factor of s and 28.
4
Let h(b) = -7*b**2 + 16*b**2 + 4*b - 8*b**2 - 44 + 6*b + 13. Let l be h(-13). Calculate the highest common factor of 22 and l.
2
Let n(d) = d**3 - 18*d**2 + 22*d - 66. Let f be n(17). Suppose 195 = 5*w + 3*p, -79 = 17*w - f*w - p. Calculate the highest common factor of w and 12.
6
Let l(c) = c**3 - 3*c**2 + 3*c - 7. Let h be l(3). Let i(r) = -r**2 - 29 + 1332*r - 1314*r + h. Let j be i(15). Calculate the highest common factor of j and 63.
9
Suppose -135 = -17*b + 1. Suppose b*w = 426 - 106. Suppose 0 = 4*c - 30 - 10. Calculate the highest common divisor of w and c.
10
Let h = -8582 + 8691. Calculate the highest common divisor of 10246 and h.
109
Let z be (-9*(-130)/(-312))/(1/(-64)*1). What is the highest common divisor of z and 3660?
60
Let g be 1699430/410 - 10/(-205). What is the highest common divisor of g and 5?
5
Let i(z) be the first derivative of -z**3/3 + 8*z**2 - 8*z + 5. Let j be i(19). Let f be 2*(j/(-10) + -1). What is the greatest common factor of f and 77?
11
Let a(m) = -m**2 + 17*m - 17. Let y be a(7). Let p(d) = -265*d**3 - d**2 - 3*d - 2. Let i be p(-1). Calculate the greatest common divisor of i and y.
53
Let l = 227 - 167. Suppose l*m - 44*m = 1296. Calculate the greatest common factor of m and 9.
9
Let g = -81 - -297. Let f be 69768/2601 + ((-185)/(-85) - 2). Calculate the highest common divisor of f and g.
27
Let j = 5943 + -5936. What is the greatest common factor of j and 1610?
7
Let q(d) = 20*d + 66. Let h be q(-3). Suppose -h*z = -11*z + 275. Calculate the greatest common divisor of 5 and z.
5
Let q = 1017 - 505. Let n = q + -472. Calculate the greatest common factor of 96 and n.
8
Let j be 4/((-60)/(-12255)) + 2. Calculate the greatest common factor of 728 and j.
91
Let u = -69 - -80. Suppose -2*n = -3*z + 38 + 37, 3*z + 75 = -3*n. Let f = -19 - n. What is the highest common divisor of u and f?
11
Suppose s + 7*g + 25 = 2*g, -5*s - 38 = -4*g. Let v be -6*(145/s - 4). Calculate the highest common factor of 185 and v.
37
Let i be (-6137)/1156*-104 + 6/(-51). What is the greatest c