t p(d) = 4*d**2 - 19*d + 1. Let b be p(5). Suppose -5*o + 2*s + 11 = 0, 3*o - b*s + 2*s = 1. What is the highest common divisor of 2 and o?
1
Let k be 3128/460 - 1/(-5). Suppose -4*d + 4 = -2*d. Suppose -v - 124 = -d*f, -3*f + 3*v = f - 246. What is the highest common divisor of k and f?
7
Suppose -10*m - 7 + 77 = 0. Let z be 9/(3 + m/(308/(-128))). Calculate the greatest common divisor of 9 and z.
9
Suppose 3*l - 4*l - 3*z + 3 = 0, 2*l - 5*z = -49. Let y be (5/2)/(l/(-96)). What is the highest common divisor of y and 10?
10
Let w = 3567 + -2564. Calculate the greatest common divisor of 68 and w.
17
Let w be (-9)/(-12)*2*-2. Let k be w - 6*(-3)/2. Let n be ((-2 - -3) + 2)*k. What is the greatest common divisor of 18 and n?
18
Suppose -2*g + 2*f + 7 = -3*f, 3*g - 4*f = 7. Let c(a) = 2*a - 4. Let p be c(5). Let z be (g - -17)*14/p. Calculate the highest common divisor of z and 21.
21
Suppose -h + 3*h = 36. Suppose -4*k = 3*w + w - 16, k - 5*w = 34. Calculate the highest common factor of k and h.
9
Let g(m) = 61*m + 307. Let p be g(-4). Let o(s) = 25*s**2 + s - 1. Let j be o(1). Suppose -7 + j = 2*a. Calculate the greatest common factor of p and a.
9
Let o be 28 - (1 - (-1)/1)*4. Calculate the highest common divisor of o and 132.
4
Suppose 0 = 4*c - 4*q - 144, 3*c + q = 95 + 5. What is the highest common factor of 51 and c?
17
Let o = -15 + 80. Calculate the highest common divisor of 455 and o.
65
Let i(p) = -p**2 - 5*p + 1. Let x be i(-4). Suppose 17 = x*j - 3. Let g(r) = -14*r - 294. Let f be g(-23). What is the greatest common factor of f and j?
4
Suppose 0 = -u + q + 4*q + 89, -5*q + 15 = 0. Calculate the highest common factor of u and 13.
13
Let q = 564 - 548. What is the highest common divisor of 400 and q?
16
Let n = -589 - -623. Calculate the highest common divisor of 391 and n.
17
Let t(o) = -o**2 + 3*o + 3. Let p be t(3). Let y(z) = -81*z - 66. Let h be y(-1). What is the highest common divisor of h and p?
3
Let b be (138/(-12))/(-23) - (-254)/4. Calculate the highest common divisor of 304 and b.
16
Suppose 0 = 3*c - 5*g + 60, 20 = -c + g + 4*g. Let z = c + 20. Suppose 4*a - 357 - 787 = z. What is the greatest common divisor of 26 and a?
26
Suppose -8 = -6*j - 2. What is the greatest common divisor of 32 and j?
1
Let l(f) = 4*f - 2. Let q(o) = -7*o + 3. Let b(s) = 5*l(s) + 3*q(s). Let y be b(-9). Calculate the highest common divisor of y and 56.
8
Let a be 5 + 2 + -31 + 33. Calculate the greatest common divisor of 45 and a.
9
Let q(y) = y**2 + 2. Let b be q(-5). Calculate the greatest common factor of b and 792.
9
Let y = 19 + 35. Suppose -m - 2*m + 57 = 0. Suppose -3*i + m = 1. What is the greatest common divisor of y and i?
6
Suppose 47 = 18*l - 277. What is the highest common divisor of l and 18?
18
Suppose 6*t + y = 3*t + 162, -2*t + 4*y = -108. Calculate the greatest common factor of t and 144.
18
Let n = 17 + -5. Suppose -2*i = -5*i + n. Suppose 0 = -3*m - 3*w + 48, 5*m + 24*w = 26*w + 52. Calculate the highest common divisor of i and m.
4
Suppose -8*y = -9*y + 11. Let o(p) = 4*p - 3. Let m be o(-10). Let s = y - m. What is the highest common factor of s and 36?
18
Suppose -2*u + 2 = 0, 5 = 3*x + 5*u - 9. Let a(g) = -7*g - 17. Let f be a(-11). Suppose -x*w + f = w. What is the greatest common divisor of 45 and w?
15
Let q(k) = k**3 - 6*k**2 + 2*k + 3. Let o be q(6). Let n be (-2)/5*20*(-6)/12. Suppose 8*f - n*f = 20. What is the highest common factor of f and o?
5
Let j be ((-270)/(-15) - 10)/1. Let q = 8 - -16. Calculate the greatest common factor of j and q.
8
Let t be 2 - 24/10 - (-66)/15. Suppose -w + 9 = 5*h, t*w + 2*h - 58 = 4*h. What is the highest common factor of 154 and w?
14
Let v = 308 + -290. Let j(t) = 23*t**2 + 4*t + 3. Let p be j(-3). Calculate the highest common factor of v and p.
18
Suppose -p + s = -111, -4*p - 2*s - 3*s = -435. Calculate the greatest common factor of 10 and p.
10
Suppose -3*k + k = -6. Suppose 0 = q + h + 35, h + 105 = -k*q - h. Let t = q - -92. What is the highest common factor of 38 and t?
19
Suppose -8*q = -0*q - 16. Suppose 0 = q*t + 4*t - 810. Calculate the highest common factor of t and 27.
27
Let o(d) = -d**3 - 19*d**2 + 24*d + 13. Let w be o(-21). Calculate the highest common factor of 69 and w.
23
Suppose -g + 2 = -0*g. Suppose -5*j - 4*w + 78 = 0, -2*j = -3*j - 2*w + 12. What is the greatest common divisor of g and j?
2
Let p be 1*266*6/12. Suppose -92 = 5*f + p. Let r be f/(-75) - 114/(-10). Calculate the greatest common divisor of 48 and r.
12
Let c(n) = 3*n. Let y be c(1). Let i(f) = -f**3 + 8*f**2 + 61*f - 11. Let u be i(-5). Calculate the highest common divisor of u and y.
3
Suppose 7*k = 5137 + 4782. What is the greatest common divisor of 327 and k?
109
Suppose 3*u = -0*g + 5*g - 1, -5*u + 25 = 5*g. Let h be 46*(-2)/(-12)*u. Let y be 24/(-10)*230/(-3). What is the highest common divisor of y and h?
23
Suppose -57 = 17*w - 36*w. What is the greatest common divisor of w and 11?
1
Suppose -39*n + 2622 = 30*n. What is the greatest common divisor of n and 456?
38
Let r(k) = -5*k + 25. Let x be r(0). Calculate the greatest common divisor of x and 30.
5
Suppose 2*l - 5*t = 11 + 10, 10 = -2*t. Let d be (18/l)/(5 + (-172)/32). What is the highest common factor of 36 and d?
12
Suppose -4*b - 5*g = -704, 0 = -4*b + 3*b - 5*g + 191. Let d(n) = 57*n**2. Let z be d(-1). Calculate the greatest common divisor of b and z.
57
Let g = -116 - -32. Let i = -4 - g. Suppose j - i = -j. What is the greatest common factor of j and 8?
8
Let c(i) be the third derivative of -i**6/120 + 7*i**5/60 - i**4/24 + 5*i**3/6 - 18*i**2. Let p be c(5). Calculate the highest common divisor of p and 20.
10
Let t = 1337 - 1235. What is the greatest common factor of t and 18?
6
Suppose 0 = -4*p + 5*d + 55, -11*p + 6*p + 47 = d. Suppose z = 6*z. Suppose 2*x - x - p = z. Calculate the highest common divisor of x and 90.
10
Let d = 1 - -5. Suppose 17 = -b + 2*i, -4*b - d = 2*i + 22. Let r be (-357)/b + (-1)/(-3). Calculate the highest common divisor of 10 and r.
10
Let l(w) = w**3 + 7*w**2 + 6*w - 2. Let n(m) = -m**2 - 1. Let v(x) = l(x) - 2*n(x). Let o be v(-8). What is the greatest common factor of o and 16?
16
Suppose -2*j + 24 + 96 = 4*z, 0 = z - 1. What is the greatest common factor of j and 2146?
58
Let o(d) = -15*d**3 - 8*d**2 - 6*d + 1. Let h be o(-2). Calculate the highest common divisor of h and 303.
101
Suppose -14*f - 4*f = -216. Calculate the highest common divisor of 1056 and f.
12
Suppose -4 = -4*g + 8, -5*g - 25 = -2*y. Let s be ((-2)/(-1))/(8/32). Suppose -250 = 3*w - s*w. Calculate the highest common divisor of w and y.
10
Let i = -1 - -17. Let u(x) = 19*x**2 + 7*x - 2. Let d be u(-6). Suppose -4*o = o - d. What is the greatest common divisor of o and i?
16
Let s = 426 - 421. Calculate the greatest common factor of s and 8.
1
Suppose a - 4 = -0*a, 0 = 4*b + 2*a + 428. Let s = -40 - b. What is the greatest common divisor of s and 23?
23
Let h(u) = -15*u - 7. Let g be h(-13). Suppose -20 - 80 = -5*m. Suppose -m = -4*b + g. What is the greatest common factor of 13 and b?
13
Let d be (24/(-1))/6 + 56. Calculate the highest common divisor of d and 4.
4
Let b(i) = 4*i**2 - 13*i + 2*i**2 - 8*i**2 + 4*i**2. Let h be b(7). Suppose 4*u - 89 - 107 = 0. Calculate the greatest common factor of u and h.
7
Suppose -2*k + 6 = -4. Suppose 0 = 2*u, 26 = 3*v - u + k. Suppose 28 = v*a - 3*a. What is the highest common divisor of 42 and a?
7
Let f(h) = -13*h**3 - 4*h**2 - 4*h - 2. Let n be f(-2). Let q be (-6)/21 + n/(-14). Let g = q - -16. Calculate the highest common factor of 72 and g.
9
Let v = -50 + 95. Let z(t) = t**3 + 13*t**2 + 33*t + 19. Let a be z(-8). Calculate the greatest common factor of a and v.
15
Let o = 126 - 120. Calculate the highest common divisor of 66 and o.
6
Suppose 0 = 2*a - 38 + 26. What is the greatest common factor of a and 96?
6
Suppose -71*n = -76*n + 55. Calculate the highest common divisor of n and 44.
11
Let a = 137 - 90. What is the greatest common divisor of 423 and a?
47
Let v be -3 + (-10 - -4) - -25. Calculate the highest common factor of 88 and v.
8
Let p = -137 - -91. Let q = -16 - p. Let o = 13 + -7. Calculate the highest common divisor of o and q.
6
Let s = 1495 + -2485. Let h = 