*v - 210 = -v, 0 = 3*u + v - t. What is the highest common factor of r and u?
21
Suppose 3 = 2*s + 5*y - 7, 3*y - 6 = 0. Suppose s = 3*l + 4*x - 136, -l + 3*x = -2*l + 52. Calculate the highest common factor of l and 20.
20
Let d(y) = -y**3 + 16*y**2 - 24*y - 24. Let k be d(14). Suppose k*g - 35*g = -21. Calculate the greatest common factor of g and 28.
7
Let t = -174 + 344. Let b = 289 - t. Let w = b + -71. Calculate the highest common divisor of w and 16.
16
Let x(o) = -1 + 0 - 1 + o**3 - 14*o**2 + 5. Let w be x(14). Suppose -2*j = -3*l + 382, 4*j - w*j + 2 = 0. Calculate the greatest common factor of 18 and l.
18
Suppose b = -0*b + 190. Suppose 5*k = 5*f + b, 2*k - 74 = -0*k + 3*f. Calculate the greatest common factor of k and 8.
8
Let d = 149 - 132. Calculate the greatest common divisor of 170 and d.
17
Let d(f) = -f**2 + 18*f + 87. Let i be d(0). What is the highest common factor of i and 9?
3
Suppose 14*x = 142 + 110. Suppose -2*a - x = -z, 4*z - 4*a - 1 - 59 = 0. What is the greatest common divisor of 4 and z?
4
Suppose 0 = p - 1 - 0. Calculate the highest common factor of p and 11.
1
Suppose k = 5*k - 64. Suppose -501*m - 4 = -503*m. What is the highest common divisor of m and k?
2
Suppose -84 = 1476*q - 1482*q. Calculate the highest common divisor of 238 and q.
14
Let r(q) = 10*q + 12. Let n(y) = 10*y + 13. Let u(c) = 4*n(c) - 5*r(c). Let s be u(-4). What is the highest common factor of s and 8?
8
Suppose 139*y = 79*y + 52140. What is the highest common factor of 33 and y?
11
Suppose 0*m - 15*m + 390 = 0. What is the highest common factor of 117 and m?
13
Let n(q) = -q**3 + 5*q**2 + 6*q - 6. Let m be n(5). Suppose f + 30 = 209. Let d = f + -83. What is the highest common factor of d and m?
24
Let i = -15 - -19. Suppose -i*p + 11 = -33. What is the greatest common divisor of p and 33?
11
Let c(i) = 7*i**2. Suppose -5*f - 2*v - 18 = 0, -4*f - 6 = 4*v + 18. Let x be c(f). Let w = 70 - x. Calculate the highest common divisor of w and 6.
6
Let w(b) = -b**3 - 5*b**2 - 5*b + 3. Let a be w(-4). Suppose a*i = 2*i + 35. Let d(u) = 5*u + 1. Let g be d(i). What is the highest common divisor of g and 24?
12
Let t be (-25 + -5 + 8)*-1. What is the highest common factor of 11 and t?
11
Let h = -1120 - -1124. What is the greatest common divisor of 50 and h?
2
Suppose 0 = -a - 6*i + 2*i + 20, a - 2*i - 8 = 0. Let l be -8 + 1*-2 - -1. Let h = l - -15. Calculate the greatest common divisor of a and h.
6
Let u be (-1804)/(-77) + (11/7 - 1). Suppose -477 = -4*c + 291. What is the highest common factor of c and u?
24
Suppose -52 = -5*w - 4*j, -36 = -5*w + 2*w - 4*j. Let m = w - 2. Let a be 72/m*20/3. What is the highest common divisor of 10 and a?
10
Suppose -2*s - 36 = -5*s. Let o = 47 + s. What is the greatest common divisor of 590 and o?
59
Let q(a) = -a**2 - 35*a - 52. Suppose -140 = 8*v - 3*v + 5*o, 2*v - 4*o = -26. Let l be q(v). Calculate the greatest common divisor of 28 and l.
28
Let v(o) = o + 6. Let s = 5 + 4. Let d be v(s). Let u = d + -7. Calculate the greatest common divisor of 72 and u.
8
Suppose 0 = -t - 5, -35*u - t = -40*u + 105. Calculate the highest common factor of u and 260.
20
Let y = -26 + 42. Suppose -p = -5*p - 8. Let b be p - -13 - (-3 - -6). What is the greatest common factor of y and b?
8
Let t(i) = -i**2 - 6*i - 2. Suppose -2*n + 3*n + 4 = 0. Let j be t(n). Let r be (-4)/j - 153/(-27). Calculate the greatest common factor of r and 45.
5
Let g = 308 - 182. Suppose -2*i = -3*i + 36. Let k = -22 + i. Calculate the greatest common factor of k and g.
14
Let b = 1099 + -875. What is the greatest common factor of b and 7?
7
Let i = 100 - 154. Let g = -34 - i. What is the greatest common factor of g and 4?
4
Suppose 45*c = 42*c + 3. Calculate the greatest common divisor of 11 and c.
1
Let i(f) = 22*f + 2*f**3 + 9*f**2 - f**3 - f**2 + 2 - 10*f. Let p be i(-4). What is the highest common factor of p and 198?
18
Let d = 36 - 42. Let m be (-38)/4*(d - -9 - 5). Calculate the highest common divisor of 152 and m.
19
Let h(t) = -t**2 - 7 + t**3 - 4 - 7*t**2 - 5*t. Let v be h(9). Let c = 312 - 212. Calculate the highest common factor of v and c.
25
Let n(l) = l**3 - 16*l**2 - 17*l - 4. Let k be n(17). Let u(b) = -2*b**3 - 3*b**2 + 4*b + 6. Let h be u(k). What is the greatest common divisor of h and 28?
14
Suppose -16*b + 5*q - 114 = -18*b, b = 4*q + 70. Calculate the highest common divisor of 62 and b.
62
Let j(u) = u**2 + 8*u - 1. Let q be j(-9). Let b be (q/(-3))/(7/(-21)). Calculate the highest common divisor of b and 24.
8
Let h(q) = -q**3 + 6*q**2 + 16*q + 10. Let r be h(8). Let z(p) = -p**3 + 11*p**2 - 8*p - 7. Let x be z(r). What is the highest common divisor of x and 52?
13
Let o be -4*(-1)/2 + 2. Suppose 0 = 4*i + 20, -5*d - o*i - 15 = -0*d. Let q(m) = 25*m + 2. Let p be q(d). What is the highest common factor of 3 and p?
3
Suppose -204 = -4*q + 5*w - 12, 0 = -4*q - 3*w + 192. Calculate the highest common factor of 384 and q.
48
Let v(p) = p**3 + p**2 - p - 1. Let l(d) = -78*d**3 + 2*d**2 - 3*d - 1. Let s(z) = -l(z) + 3*v(z). Let i be s(1). What is the highest common factor of 16 and i?
16
Let m be 5 + (62 - (-13 + 8)). Calculate the greatest common divisor of m and 24.
24
Suppose -3*r - x + 25 = 0, 0 = -3*x - 5 - 1. Suppose -4*d + 10 = d. Suppose 2*p - 2*q = 204, d*p + 3*q = 180 + 9. What is the greatest common factor of r and p?
9
Let o(y) be the first derivative of y**3/3 + 3*y**2/2 + 5*y - 29. Let i be o(-8). Calculate the highest common factor of i and 9.
9
Let y = -10 + 15. Suppose y*f = 2*a + 764, -2*f + 0*a = -2*a - 302. What is the greatest common divisor of f and 14?
14
Suppose -5*m + 2*u + 5 = -16, 4*u + 3 = -3*m. Calculate the highest common divisor of 75 and m.
3
Let l = 1896 + -1096. Calculate the highest common factor of l and 10.
10
Let x = 803 - 531. Suppose 4*h + l - 120 = 5*l, h - 22 = 3*l. What is the greatest common factor of h and x?
34
Let w = -115 - -179. What is the greatest common factor of w and 472?
8
Let k(v) = 5 - 17 + 13 + 3 - v. Let d be k(-2). Calculate the greatest common factor of 15 and d.
3
Let a(t) = -449*t - 1. Let u be a(-2). Suppose 0 = -5*q + b + 557, -5*q - 325 = 4*b - u. What is the highest common factor of q and 16?
16
Let v = -447 - -456. What is the highest common divisor of v and 423?
9
Suppose -14 = -2*l - f + 4, f = 0. What is the greatest common factor of 63 and l?
9
Let n(s) = s**3 - s**2 + 2*s - 3. Let l be n(2). Suppose -l*b + a = -194, b - 3*a = -2*a + 42. What is the greatest common divisor of 19 and b?
19
Suppose -3*k - 9 + 57 = 0. Calculate the highest common divisor of 1264 and k.
16
Let r be (-50 + 0/(-3))*-2. Suppose n - r - 19 = 0. Let y(w) = 3*w**2 + 33*w + 17. Let d be y(-11). What is the highest common divisor of d and n?
17
Suppose -2*c = c - 264. Suppose -4*d - 54*x + 164 = -56*x, 3*d - 138 = -x. What is the greatest common factor of d and c?
44
Let b = 1617 - 1512. Let x be (9 - -1)*(-6)/(-4). Calculate the greatest common factor of b and x.
15
Suppose 1366 = 6*m + 16. Calculate the highest common factor of m and 9.
9
Let p be ((-6)/(-4))/(9/(-12)). Let f(s) = -5*s - 5. Let i be f(p). Calculate the greatest common factor of i and 45.
5
Let a = -5 - -22. Let m be (-1)/((-10)/(-6)) - 9/(-15). Suppose 3*n + 8*k - 51 = 4*k, 3*k = m. Calculate the highest common factor of a and n.
17
Let g be 105/(-1)*20/(-12). What is the highest common divisor of 210 and g?
35
Suppose 3*t - 2*t = 5. Suppose 5*i + 0 - t = 0, 5*o + i = 11. Let r be -2 + (14 - o) - -3. What is the greatest common factor of r and 78?
13
Suppose 4*v + 154 = 6*v. Let m be (-30)/20*6/5*-5. Suppose m*l - 14 = 85. What is the greatest common factor of v and l?
11
Let k(x) = 8*x**2 + 19*x + 63. Let d(q) = 4*q**2 + 9*q + 31. Let l(m) = 9*d(m) - 4*k(m). Let f be l(-9). Calculate the greatest common divisor of f and 34.
34
Let m be (-5232)/(-96) - -3*2/(-12). Calculate the greatest common factor of m and 522.
18
Suppose -66*a + 63*a + 15 = 0. Suppose -3*o = a*m - 75 - 13, 5*o + 5*m = 160. Calculate the greatest common divisor of 12 and o.
12
Let c be (1154 + 0)*((-6)/12 + 1). Let v = c - 38. Calculate the highest common factor of 49 and v.
49
Suppose -5*r + 5*c = -30, 5*r - 13 - 13 = c. Suppose -68 = -r*f + 67. 