6). Calculate the greatest common divisor of a and 1584.
11
Let t(p) = 17*p + 621. Let w be t(23). What is the greatest common divisor of 110 and w?
22
Suppose 2*g + 174 = 4*w, -3*g - 125 = -3*w - 7*g. Let r = 46 - w. What is the highest common factor of r and 3?
3
Let f(q) = q**2 - 6*q + 2. Let a be f(6). Suppose -a*i - 18 = -68. Let m(t) = t**2 - 8*t + 25. Let w be m(5). Calculate the highest common factor of i and w.
5
Suppose 5*j - 29 = 51. Calculate the greatest common divisor of j and 288.
16
Let x(c) = -22*c**3 - 12*c**2 - 53*c - 80. Let z be x(-5). What is the greatest common factor of z and 34?
17
Let o(w) = w**3 - 3*w**2 - 8. Let i(h) = h**2 + 5*h - 8. Let q be i(-7). Let u be o(q). Let r = -16 + 36. What is the greatest common divisor of u and r?
20
Let m = 95 - 51. Suppose -12 = -3*r - 2*c, -c + 3*c + 12 = 3*r. Suppose r*u - 550 = -u. What is the highest common divisor of m and u?
22
Suppose -3*g + v + 2166 = 3*v, -5*g - 3*v = -3609. Suppose 4*u + 0*u + 4*a - 752 = 0, 4*u = 4*a + g. Calculate the greatest common divisor of u and 23.
23
Let y = -2 - -1. Let n be 1 - (196/y - 1). Suppose -2*i + n = 2*c + i, 0 = i - 2. Calculate the highest common divisor of c and 12.
12
Let f = -241 + 284. What is the highest common divisor of 301 and f?
43
Suppose -21 = -2*s - 2*k + 3, 60 = 5*s + 3*k. Suppose z - 29 - 19 = 0. Calculate the greatest common factor of z and s.
12
Let u be (-84)/(-28) + (-2 - -3)*42. What is the highest common divisor of u and 80?
5
Let m(n) = n**3 + 42*n**2 - 55*n - 43. Let z be m(-43). What is the highest common factor of z and 66?
11
Suppose 3*r + 2*o = 33, -r + o + 0*o + 6 = 0. Let t = 59 - 32. Calculate the greatest common factor of r and t.
9
Let o be 252/36*288/4. What is the highest common factor of 280 and o?
56
Let b be (0 + -1)*(-49 - -5). Suppose -2*v - 2*v = -b. Let c(o) = 20*o**2 + 38*o - 79. Let l be c(2). What is the greatest common factor of l and v?
11
Let d = -29 - -137. Calculate the highest common divisor of 48 and d.
12
Let w be 2/16 - 15/120. Suppose w*n - 101 = -2*n + 5*b, 3*n - 214 = -5*b. What is the highest common divisor of n and 9?
9
Let v(w) = -w**3 + 9*w**2 - 6*w - 2. Let h be v(8). What is the highest common factor of h and 434?
14
Suppose 165 + 186 = 13*z. Let k(y) = 2*y - 5. Let m be k(-5). Let u be 1*5/(m/(-27)). Calculate the greatest common divisor of u and z.
9
Suppose -4*d + 3*h + 186 = -2*d, 94 = d - h. Suppose -d = -x - 2*x. Let f be ((-22)/(-33))/((-217)/(-72) + -3). What is the highest common factor of f and x?
16
Let l(a) = -41*a - 7. Let m be l(5). Suppose 0 = 3*n + 9, s + 3*n = -23 - 4. Let p be (-6)/(-27) + m/s. Calculate the greatest common divisor of 48 and p.
12
Let p = 139 + -1. What is the highest common factor of p and 92?
46
Let a = 463 + -162. What is the greatest common factor of a and 129?
43
Suppose 5*j = 4*g - 370, g = -j + 134 - 46. Calculate the greatest common divisor of 54 and g.
18
Suppose 248*l = -5*q + 246*l + 30, -5*l - 25 = 0. Let b = 6 + 98. What is the greatest common factor of b and q?
8
Suppose 0 = -2*k + 2, 0 = 2*t - 9*k + 4*k - 25. Let h be (15 - 17)*(-4 + 0). Suppose 0 = 5*z - 42 - h. What is the highest common factor of t and z?
5
Let l = 16 - 28. Let o = 12 + l. Suppose o = -5*p + 5*i + 45, 8*i + 3 = p + 4*i. Calculate the greatest common factor of 77 and p.
11
Suppose -x + 254 = -34*m + 35*m, m = 2*x + 251. Calculate the greatest common factor of 184 and m.
23
Let h = 42 - 44. Let o be h/((-24)/18 + 11/9). Calculate the greatest common divisor of 18 and o.
18
Let l(t) = -106*t - 242. Let m be l(-9). Calculate the greatest common factor of 445 and m.
89
Suppose 4*z + 10 = r, 12 = 3*r + 2*r - z. What is the greatest common factor of r and 18?
2
Let k = 69 - 69. Suppose k*i + 6*i = 12. What is the greatest common divisor of 5 and i?
1
Let l(o) = 0*o + o + 30*o - 1 + 4. Let n be l(-3). Let m be (0/(-3))/4 - n. Calculate the greatest common divisor of m and 15.
15
Let v = 0 - -2. Let g(y) = 3*y - 1. Let u be g(v). Let z = u - -3. Calculate the greatest common divisor of 12 and z.
4
Suppose -11*u + 5655 = -8*u + 3*l, 5*u - 9460 = 2*l. Calculate the greatest common divisor of 70 and u.
70
Let v = -1986 + 2803. What is the greatest common divisor of 57 and v?
19
Suppose 83*h = 40*h + 73616. What is the highest common factor of 107 and h?
107
Let k be 2/(((-24)/(-435))/4). Suppose 4*u - 5*d = k, -2*u + 0*u + 4*d = -68. Suppose 4*w - 20 = -4. Calculate the greatest common divisor of w and u.
4
Let q(o) = 5*o**2 + 5*o + 8. Let f be q(-5). Let g = 188 - f. Let c(m) = -m**3 - 6*m**2 + 6*m + 3. Let u be c(-7). What is the highest common factor of u and g?
10
Suppose -2*k - 3*k + 159 = -4*y, 0 = -k - 2*y + 29. Let w = -26 + k. Suppose 3*p - 15 = 0, -p - 280 + 0 = -w*v. What is the highest common factor of 38 and v?
19
Let b = -4 + 6. Suppose -b*g = -0*g - 512. Suppose -g = -n - 3*n. Calculate the highest common divisor of n and 8.
8
Let v be 5 + (-219)/45 - (-2752)/60. What is the greatest common divisor of 8 and v?
2
Suppose 6*q - 5*g = 3*q + 689, 4*q - 907 = -5*g. Let x(j) = -123*j + 627. Let s be x(5). What is the greatest common divisor of q and s?
12
Suppose 20*f = 1012 + 28. Calculate the greatest common factor of f and 117.
13
Suppose c - 3*c = -286. Let l(q) = 108*q**3 - 2*q**2 + q + 5. Let b be l(-2). Let n be (-2)/12 - b/66. Calculate the highest common factor of c and n.
13
Suppose 3*k - 7 = -4. Suppose 4*f - 5*z + k = 0, -4*f + 0*z + 2 = -2*z. Suppose -i = -f, -4*i = m - 4 - 1. What is the greatest common divisor of m and 1?
1
Suppose 2*b = 4*z - 6 + 32, 4*b = 3*z + 47. Let s = 12579 - 12502. What is the highest common divisor of b and s?
11
Let g(f) = -2*f**3 + 86*f**2 - 58*f + 81. Let k be g(42). Calculate the greatest common factor of k and 102.
51
Suppose -6*v + 11*v = 625. Suppose -4*r = 1 - v. Suppose 0*w - r = -2*j - w, 5*w = 15. Calculate the greatest common divisor of 2 and j.
2
Suppose 0 = -a + 9*a + 768. Let c = a - -124. Calculate the highest common divisor of 224 and c.
28
Let c = 60 + -47. Let x(s) = -4*s - 7. Let d be x(-5). Calculate the highest common divisor of c and d.
13
Suppose 11*l = 2*a + 13*l - 226, -4*l + 12 = 0. Let c = 80 - 36. Calculate the highest common divisor of a and c.
22
Suppose -324 = -8*c - 812. Let m = -13 - c. Calculate the highest common divisor of m and 12.
12
Let y(o) = 136*o**2 + 15*o + 15. Let f be y(-1). Calculate the greatest common divisor of f and 8.
8
Suppose -4*v + 3482 - 466 = 0. Calculate the highest common divisor of v and 116.
58
Let s(r) = r**2 - 9*r - 25. Let y be s(13). Let i be 24/(y/6 + -3). Let b be 9/(-6)*32/(-3). Calculate the greatest common divisor of i and b.
16
Suppose 0 = -99*p + 104*p - 40. Suppose -4*n - 11 = 1. Let x(h) = -12*h - 4. Let o be x(n). What is the highest common divisor of o and p?
8
Suppose 3*o - 150 = 75. What is the greatest common divisor of 75 and o?
75
Let o = 31 + -7. Let g = -115 + o. Let y be 574/13 - (-14)/g. Calculate the highest common factor of 4 and y.
4
Let u = 239 - 211. Calculate the highest common factor of u and 3024.
28
Suppose 2*z + 3*x - 11 = 0, 23 = -4*z + 4*x + 15. What is the highest common factor of 19 and z?
1
Suppose 2*k - 3*y - 696 + 78 = 0, 5*k = 5*y + 1555. What is the highest common divisor of k and 21?
21
Suppose 0 = -2*h + 20 + 28. Let u be (-24)/(-4) + (-3 - -3). Suppose 7*v = 9*v - u. Calculate the greatest common divisor of v and h.
3
Let i(n) = n**3 + 19*n**2 + 21*n + 70. Let c be i(-18). Suppose -60 = -g + 4*z, -4*g - 6*z = -z - 345. What is the highest common factor of c and g?
16
Suppose 0 = -2*f + 3*w + 22, -25 + 7 = -f - 2*w. Calculate the greatest common divisor of 2562 and f.
14
Let b be (-16)/(-16) + (5 - 2). Calculate the highest common divisor of 20 and b.
4
Suppose 3*d - 4*c - 64 = 0, 12*d = 7*d + c + 84. Suppose -d*m + 56 = -14*m. Calculate the greatest common divisor of 252 and m.
28
Suppose -26*d + 5*a - 185 = -31*d, 0 = -4*a - 12. Calculate the highest common divisor of d and 72.
8
Suppose 4*w - 5*x + 5 - 16 = 0, 2*x - 10 = 0. What is the greatest common factor of 45 and w?
9
Suppose -2*i = 5*d - 639, 13*i + 144 = d + 8*i. What is the highest common factor of d and 473?
43
Let f(n) = 7*n + 261. Let x be f(24)