6. What is the highest common divisor of 12 and y?
12
Let v = -37 + 37. Suppose -2 = g - v. Let w = g - -7. Calculate the highest common divisor of 35 and w.
5
Let p be (-5)/2*16/10. Let g = p + 29. Suppose -g - 11 = -3*z. What is the greatest common divisor of z and 36?
12
Let n = -20 - -46. Suppose 7*f + 10 = 9*f. Suppose f*z - 200 = -5. What is the greatest common divisor of z and n?
13
Let w(m) = 5*m - 67. Let j be w(-9). Let d = j - -114. Calculate the highest common divisor of 14 and d.
2
Let a = 140 + 30. Calculate the highest common factor of 10 and a.
10
Let d = 73 - 69. Suppose -j - d*j + 301 = -v, 0 = -4*j + 4*v + 228. What is the highest common divisor of 488 and j?
61
Let i be 48*((-5)/3 + (-1711)/(-87)). What is the highest common factor of 384 and i?
96
Let d(r) = 9*r**2 + 10*r - 10. Let g be d(-5). What is the greatest common divisor of 220 and g?
55
Let x(f) = f**3 - f**2 + 7. Let n be x(0). Suppose 2*g - 9 = n. Suppose -3*t + 4 = -4*j, -4*j = -2 - 6. What is the highest common divisor of g and t?
4
Suppose -3*m + 27 = -9. Let x(j) = 13 - 17*j**3 - 9*j**2 + 7*j**2 + 10*j + 12*j**2 + 18*j**3. Let n be x(-9). What is the highest common factor of n and m?
4
Suppose -4*w + 16 = -4*k, 4*k = -k - 2*w + 8. Suppose -4*f + d = -595, k = -0*f - 2*f + d + 295. Calculate the highest common divisor of f and 30.
30
Let u = 256 + -186. Calculate the greatest common factor of u and 30.
10
Let l(a) = a + 5. Let h be l(-4). Let q be 6 - (0 + h)/1. Suppose -t = -q*t + 12. Calculate the highest common divisor of 3 and t.
3
Let n(r) = r**2 - 2*r + 9. Let o = 4 + -11. Let p be n(o). Let v be (48/64)/((-3)/2)*-18. What is the highest common factor of v and p?
9
Let n(z) = 4 - 10*z + 6 + 23*z - z**2. Let l be 233/21 + -4 + 492/126. Let f be n(l). Calculate the highest common divisor of f and 48.
16
Let v(f) = 6*f**3 - 2*f**2 - 3*f + 6. Let d be v(2). Suppose 0 = 4*l + l - d. Calculate the greatest common factor of l and 8.
8
Let m(w) = 11*w + 360. Let y be m(-32). Let h(r) = -25*r**3 + r. Let f be h(-1). What is the highest common factor of y and f?
8
Let c = 999 + -583. Calculate the highest common divisor of c and 32.
32
Let u(l) = -l**2 - 10*l - 9. Let d be u(-6). Suppose -23 = 5*v + 152. Let p = d - v. Calculate the highest common divisor of p and 20.
10
Suppose 5*q + 43 = 3*l, -q - 77 = -5*l + 2*q. Suppose l*c - 12 = 12*c. What is the greatest common divisor of c and 3?
3
Suppose 0 = -3*z + 2*r - 4*r + 2, 0 = -4*z - 2*r + 4. Calculate the highest common divisor of z and 7.
1
Suppose 6*q - 125 = -53. Suppose -4*o - 9 = -l, 5*o = 5*l - 21 - 9. Let d be (96/(-60))/(o/5). Calculate the greatest common divisor of q and d.
4
Let y be (-2)/7 + ((-379457)/(-91))/17. What is the greatest common factor of y and 10?
5
Let v(s) = -s**2 + 16*s - 23. Let d be v(11). What is the highest common factor of 4 and d?
4
Suppose 4*h = -7 - 1, 0 = -3*d - 4*h - 2. Let m be (2 + d)/(6/9). Let j be 2/(-6) + (-127)/(-3). Calculate the greatest common factor of m and j.
6
Suppose l = -3*v + 8, 3*v - 2*l = 3*l + 14. Let y(h) = -h**2 + 9*h - 7. Let f be y(v). Let g be 11 + 2/4*0. Calculate the greatest common divisor of f and g.
11
Let o be -3 + (3 - 2) + -81. Let i = o + 179. Let a(h) = h**2 + h + 4. Let x be a(-5). What is the greatest common factor of i and x?
24
Suppose -3*x = -20 + 2. Suppose 6*h + 11 = 17*h. Let l be 27*h + (-96)/(-32). Calculate the highest common factor of l and x.
6
Suppose 0 = 5*u - 4*u - 240. Suppose -5*j + 5*r + u = -0*j, 0 = 3*j + 3*r - 156. Calculate the greatest common divisor of 10 and j.
10
Let k(f) be the first derivative of -f**4/4 - 4*f**3/3 + 11*f**2/2 + 5*f - 7. Let x be k(-8). Let y = x + -109. What is the greatest common factor of y and 8?
8
Let c = 598 + -578. Calculate the highest common factor of 2180 and c.
20
Let r = 1433 - 1125. What is the highest common divisor of r and 110?
22
Let l be (12/16)/((-7553)/840 - -9). Let m = 31 + -13. What is the greatest common factor of l and m?
18
Let p be (28/(-21))/(6/(-9)) - -277. What is the greatest common divisor of p and 62?
31
Suppose 0 = -k + 3*s + 4 - 2, 4*k - 4*s - 48 = 0. Let j = -922 - -2754. Let i be 8/36 + j/18. What is the greatest common factor of k and i?
17
Let a(k) = -16 + 4*k + 10 - k - 11. Suppose -2*x - 36 = -6*x. Let j be a(x). Calculate the greatest common factor of j and 50.
10
Suppose 16*r = -7*r + 7337. Calculate the highest common factor of r and 11.
11
Let f = 32 - 17. Let t = 62 + -76. Let j be 0 - -2 - 1022/t. Calculate the highest common factor of j and f.
15
Suppose -2 = -w, 3*j - 5*w - 278 = -0*w. Suppose 0 = -5*x + 4*r + 44, 8*r = 6*r + 8. Calculate the highest common factor of x and j.
12
Let s be 8 - 9 - (-1 + -28). Suppose -s = a - 2*a. What is the greatest common factor of 7 and a?
7
Suppose 19*i = 18*i + 62. What is the highest common divisor of 31 and i?
31
Suppose 2*c + 256 = 4*b, -b - 2*c - 128 = -3*b. Calculate the highest common divisor of 512 and b.
64
Suppose t + 7*z = 2*z - 58, -2*t - 4*z = 98. Let a = 54 + t. Suppose 0 = -5*i + 2*s + 3*s + 320, -4*s = -8. Calculate the greatest common divisor of a and i.
11
Let h = -15 - -24. Let k(u) be the first derivative of 2*u**3/3 - 13*u**2/2 - 15*u + 10. Let w be k(8). Calculate the highest common divisor of w and h.
9
Suppose 311*t = 321*t. Suppose 2*w - 24 + 4 = 0. Suppose v + v - w = t. What is the greatest common factor of 15 and v?
5
Suppose 2*a + 1 = 9. Let f = 36 + a. What is the highest common factor of f and 8?
8
Suppose 0 = -5*t + 4*d + 170, -79*t = -75*t + d - 115. Calculate the greatest common factor of 2 and t.
2
Let d be (22/(-33))/(2/(-15))*1. Suppose d*l - 156 = -16. Let z be (-63)/(-2)*(-8)/(-6). What is the greatest common divisor of l and z?
14
Suppose 3*d - 967 = 2*s, 37*s = 5*d + 34*s - 1610. What is the greatest common divisor of 44 and d?
11
Let a(s) = 8*s + 120. Let f be a(-13). Suppose 3*i - 4*r - 70 = -3*r, 0 = i - r - 22. What is the highest common factor of f and i?
8
Let c = 174 - 122. Let f(x) = -6*x**3 - 2*x**2 + 5*x + 1. Let k be f(-3). What is the highest common divisor of c and k?
26
Suppose -y - 2 = -6. Let a = y - 4. Let q(i) = i**2 - 2*i + 16. Let g be q(a). Calculate the greatest common factor of g and 48.
16
Let w(k) be the first derivative of -1/4*k**4 - 10*k + 3/2*k**2 + 4 + 8/3*k**3. Let c be w(7). Calculate the highest common divisor of 12 and c.
12
Let f(u) = u**2 + 51*u - 154. Let p be f(3). Let o be 22/(-3)*(0 + -12). What is the highest common factor of o and p?
8
Let f(y) = -24*y**2 + 3*y + 3. Let b be f(-1). Let i be (b/15)/(2/(-10)). Calculate the highest common divisor of i and 16.
8
Let z = -29 + 104. Calculate the highest common factor of 75 and z.
75
Suppose -5*z + 15 = 5*u, 0*u - 9 = -3*u + z. Let v = u + -5. Let x be v - 7/((-14)/24). Calculate the highest common factor of 50 and x.
10
Let d be ((-21)/15 - -1)/(17/(-765)). Suppose -3*k + 239 = i, 247 = 3*k - 0*i - i. What is the highest common divisor of d and k?
9
Suppose r - 5 = u, -5*r + 29 = u - 5*u. Let a(j) = 4*j**2 - 2*j - 11. Let v be a(-5). What is the highest common factor of v and r?
9
Let n be (-451)/55 - 2/(-10). Let x(w) = w**3 + 9*w**2 + 4*w - 15. Let f be x(n). What is the greatest common divisor of 136 and f?
17
Let k be -1 - -1 - 15/(-1). Suppose 2*d - 182 = -3*n, 0 = 10*d - 13*d + 3. What is the greatest common divisor of k and n?
15
Let q be (-2)/17 + ((-8757)/(-17) - 9). Calculate the highest common factor of q and 22.
22
Suppose -g - 3*v - 44 = 0, -3*g - 68 = -4*v + 51. Let h = g + 53. What is the highest common factor of 12 and h?
12
Let i(r) = -10*r + 4. Let g be i(-3). Let d be 519/15 - ((-192)/(-20) - 9). What is the greatest common factor of g and d?
34
Suppose 0 = 15*f - 18*f + 54. Calculate the greatest common factor of 432 and f.
18
Let r be 462*(-6 - 48/(-7)). What is the highest common divisor of r and 110?
22
Let l(f) = f**3 + 4*f**2 - 14*f - 10. Let o = 33 - 38. Let j be l(o). Let k be 2/(-6) - 44/(-6). What is the greatest common divisor of j and k?
7
Let p be -45*((-4)/(-5) + 0). Let u(f) = -f**3 + 32*f**2 - 32*f - 25. Let w be u(31). Let v = p - w. Calculate the greatest common factor of v and 30.
10
Suppose 4*o - 3*v - 377 = 0, -3*v - 469 = 10*o - 15*o. Cal