- -117. What is the greatest common factor of 63 and z?
7
Let i(n) = 2*n + 2. Let w be i(3). Let b be ((-2)/(-6))/(-5 - (-6530)/1305). Suppose -b*p + 85*p + 64 = 0. What is the highest common factor of w and p?
8
Let w(v) = -v**3 + 6*v**2 + 2*v + 7. Let r(u) = -u**2 + 14*u - 40. Let x be r(5). Let n be w(x). Calculate the greatest common factor of 14 and n.
14
Suppose -12*y = u - 9*y - 21, -u + 5*y = 11. Suppose 5*t - 210 = 2*i, -126 = -3*t + 11*i - u*i. What is the highest common factor of t and 14?
14
Let i(z) = -9*z**3. Let f(a) = a**2 - 4*a + 2. Let v be f(2). Let j be i(v). What is the highest common factor of 18 and j?
18
Suppose 3*o - 24 = -5*o. Suppose 0 = -3*v - o*v + 108. What is the greatest common factor of v and 27?
9
Suppose 4*p = -0*s + 2*s - 172, -4*p + 332 = 4*s. Suppose -4*w + 2*g = -56, -3*g + 1 = -3*w + 49. Calculate the greatest common factor of s and w.
12
Suppose 0 = -3*w + 4*w. Suppose l = -2*o - 3, w = -4*l + 2*o + 4 + 24. Suppose 3 - l = -p. Calculate the greatest common factor of p and 16.
2
Let s be (-5 - (3 + -4)) + 238. Calculate the greatest common factor of s and 18.
18
Let x = 4149 + -4051. Let c(g) = -g + 1. Let j be c(2). Let z = j - -15. What is the greatest common factor of z and x?
14
Let l(k) = -k**3 - 16*k**2 - 8*k + 60. Let c be l(-18). Calculate the highest common factor of c and 12.
12
Suppose 14*k - 900 = 8*k. What is the greatest common factor of 250 and k?
50
Suppose -m = -15 - 291. Let b = -126 + m. Calculate the highest common factor of b and 20.
20
Let t be 5*((-76)/10 - -8). What is the greatest common factor of t and 3?
1
Suppose -6350 - 1860 = -5*u + 5*y, -2*u + 3286 = -y. Calculate the greatest common divisor of u and 24.
12
Let u be (-2 + 2 - 1) + 5. Suppose 2*p - 3 = -17. Let f(y) = -y**3 - 8*y**2 - 8*y - 3. Let v be f(p). Calculate the greatest common factor of v and u.
4
Let y(m) = 283*m - 43. Let u be y(3). What is the greatest common factor of u and 62?
62
Let g = 111 - 108. Suppose 3*y - g*d - 102 = 48, 0 = -5*d - 10. Let b be 4/10 + (-28)/(-5). Calculate the highest common factor of b and y.
6
Suppose 3*i - 4*i = -2*l - 81, i - 69 = -2*l. Let y = 307 + -302. What is the greatest common factor of i and y?
5
Suppose 0 = -y, -4*c + 0*y + 52 = -y. Calculate the greatest common factor of c and 91.
13
Suppose q = -0*o + 2*o - 23, 5 = -o - 5*q. Let r = 76 + 34. Calculate the highest common divisor of o and r.
10
Suppose 15*y + 162 = 17*y. Calculate the greatest common divisor of 81 and y.
81
Suppose -15*s + 40*s = 750. Calculate the greatest common divisor of s and 825.
15
Let u(c) = -c + 13. Let j be u(4). Let d = -72 + j. Let v be (-18)/d + (-752)/(-14). Calculate the highest common divisor of 36 and v.
18
Suppose -2*f + 12*f + 2*f - 156 = 0. Let h be -26*2/(-4)*8. What is the highest common factor of h and f?
13
Let t = 2206 + -1758. What is the highest common factor of 168 and t?
56
Suppose 0 = -81*s + 82*s - 156. What is the highest common divisor of s and 39?
39
Let c be -6*(2 + -3 - -2). Let g(w) = -8*w - 8. Let t be g(c). Calculate the highest common factor of t and 8.
8
Let o be 65 + 7/(63/27). Calculate the highest common factor of o and 119.
17
Suppose -351 = -15*n + 2*n. What is the highest common factor of 261 and n?
9
Suppose r + 2*k + 84 = 3*r, 3*k = 0. Let p = r - 40. Calculate the highest common factor of 12 and p.
2
Let v(z) = -z**3 - 6*z**2 - 9*z - 29. Let l be v(-6). What is the highest common divisor of 425 and l?
25
Let d be ((-44)/(-7) - 6)*(-2 - -9). Calculate the greatest common divisor of 23 and d.
1
Let i be 49/(-14)*36/(-15)*5. Let h(n) = -6*n - 2. Let l be h(-5). What is the greatest common factor of l and i?
14
Let z be (225/150)/(3/16). What is the highest common divisor of 184 and z?
8
Let r = -109 + 132. Let n = r - 12. Calculate the highest common factor of n and 121.
11
Suppose -23*m + 22*m = -2*i - 293, 0 = -3*m - 4*i + 909. Calculate the greatest common divisor of m and 23.
23
Let d be (31 - 1)*((-57)/9 - -4). Let j = 82 + d. What is the greatest common divisor of 108 and j?
12
Suppose 3*o - 6 = o, -49 = 4*q + o. Let b = q + 36. Suppose 3*p + g - 270 = 3*g, -4*p - 4*g + 380 = 0. Calculate the highest common factor of b and p.
23
Let c = 14 + -9. Suppose -2*d + 5*a = 10*a + 16, -3*d = 5*a + 14. What is the highest common divisor of c and d?
1
Suppose 2*o - 1 - 7 = 0, 0 = -5*q + 3*o - 22. Let h be 1*(3 + q*2/(-4)). What is the greatest common divisor of h and 20?
4
Let g be 226/8 - -6*6/(-144). Calculate the highest common divisor of g and 7.
7
Suppose 0 = -2*z + 4 - 0. Suppose x - 186 = -z*s, -334 - 355 = -4*x + 3*s. Let b = -52 + 68. Calculate the greatest common divisor of x and b.
16
Let t(c) = -c**3 + 26*c**2 - 100*c - 26. Let k be t(21). Calculate the greatest common divisor of k and 2923.
79
Let j(r) = -r**3 + 13*r**2 + 12*r + 31. Let g be j(14). Let d be (-46)/(-8)*(-1 - (-2 - g)). Calculate the highest common factor of 23 and d.
23
Let n be -4 + 9 + -2 - 1. Suppose 0 = -2*j - j + 60. Suppose -n*d + 5*z = 2*z - j, d - 4*z = 5. Calculate the highest common divisor of d and 52.
13
Suppose -5*n + 2*a + 112 = 0, 3*a + 35 = 4*n - 56. What is the greatest common divisor of 66 and n?
22
Let x(z) = -z**3 - 11*z**2 - 6*z + 15. Let g be x(-12). Suppose -2*m - 3*m - 5*h = -150, 0 = 2*m - 3*h - 75. What is the highest common factor of g and m?
33
Let q(g) = -2*g**3 - 34*g**2 - 7*g + 33. Let v be q(-17). Calculate the highest common factor of 16 and v.
8
Let t = 147 - 83. Suppose -8*h + 32 = 8. Suppose 0 = -2*o + h*o - 8. What is the highest common factor of t and o?
8
Suppose 3*f - 15 = -5*s + 7, -10 = -s - 2*f. Suppose -3*c = -10 - 2. Calculate the greatest common factor of s and c.
2
Let g = -1061 + 1138. What is the greatest common divisor of 22 and g?
11
Suppose -4*x + 9 = 1. Suppose 4*g - 232 - 64 = -x*p, 684 = 5*p - 4*g. What is the highest common divisor of p and 20?
20
Let o(q) = q**3 + 7*q**2 - q + 7. Let j be o(-7). Suppose -x + 71 + 76 = 4*s, 5*x + s = 735. Let c = x + -35. What is the highest common divisor of j and c?
14
Let k(u) = 3*u + 188. Let f be k(-52). Calculate the highest common factor of f and 18.
2
Let x be 855/225 - (-1 + (-9)/(-5)). Calculate the highest common factor of 69 and x.
3
Let h = 158 + 498. What is the greatest common factor of 41 and h?
41
Let o = 7 - 0. Let y = -97 + 68. Let l = -15 - y. What is the highest common factor of l and o?
7
Suppose 103*a + 5*a - 23436 = 0. What is the greatest common factor of 589 and a?
31
Let o(x) = x**2 - x - 47. Let q be o(0). Let z be -6*-5*5/(-50) + -4. Let g = z - q. What is the highest common divisor of g and 8?
8
Let n(f) = 2*f**2 + 2*f. Let s be n(1). Suppose u - 3*u + 5*c + 14 = 0, 3*c - 54 = -s*u. Calculate the highest common divisor of u and 24.
12
Suppose 7 = l + u, -4*l - 3*u + 2*u = -25. Let y be 0 + (-1)/(-1) - -23. What is the greatest common factor of y and l?
6
Let l = 154 + -49. Calculate the greatest common factor of l and 15.
15
Let p be (-2 - 708/9)/((-6)/9). Let l(r) = r**2 - 3*r - 1. Let d be l(4). Let i(f) = f**2 + f - 1. Let n be i(d). What is the highest common factor of p and n?
11
Let y be 4 + 332/(-16) - (-2)/(-8). Let k(q) = -q**3 - 17*q**2 - 2*q - 25. Let x be k(y). What is the greatest common divisor of x and 18?
9
Suppose 0 = 5*h - 3*u + 155 - 1301, 2*u = 4*h - 916. Suppose -h = -13*r + 9*r. What is the greatest common factor of r and 19?
19
Let t(i) = 4*i - 268 + 152 + 148. Let j be t(13). Calculate the highest common divisor of j and 12.
12
Let k = -67 - -99. Let q be 2/8 + 88/k. Suppose q*c - 8 = -c. What is the highest common factor of c and 18?
2
Suppose -4*o + 3*o = 3*f - 8, -o = 1. Suppose -146 = -f*p + 232. Let w be 17*1 + 1 + 0. Calculate the greatest common factor of w and p.
18
Let z(r) = 13*r**2 - 2*r + 3. Let b be z(1). Calculate the highest common factor of b and 182.
14
Let z = 31 + -86. Let r = z - -88. Calculate the highest common divisor of 165 and r.
33
Suppose 4*g + 90 = 2*u - g, 5*u - 4*g = 191. Let f = u - 2. Calculate the highest common factor of 165 and f.
33
Suppose 0 = 6*n + 42 - 186. What is the greatest common divisor of n and 312?
24
Let k(t) = t**3 + 2*t**2 - 3*t - 1. Let x be k(-2). Suppose -p - 3*f + 234 = 2*p, 0 = -2*p - 