 w(z) = -4*z - 36. Let j be w(-20). Calculate the highest common factor of j and 22.
22
Let i(f) = f**2 - f. Suppose 3*u = -0*x - 5*x - 30, 4*u = 0. Let c(b) = -b - 2. Let y be c(x). Let m be i(y). What is the highest common divisor of m and 30?
6
Suppose 3*y + 2*y = -4*g + 399, 3*y = -4*g + 241. Let q = 17 + y. Calculate the highest common factor of q and 24.
24
Suppose 37*w = 46*w - 1296. Suppose 10*a = 5*a + 90. Calculate the highest common factor of a and w.
18
Suppose -3*g + 48 = 3*y, 4*g - 7 - 12 = 5*y. Suppose -4*x = -f - 177, -29*x - 2*f = -27*x - 86. What is the highest common divisor of x and g?
11
Let p(h) = -h**2 + 6*h + 224. Let n be p(15). What is the highest common factor of 2403 and n?
89
Let a = 81 + 19. Suppose -2*b + 8 = 3*i - 11, 4*i - 16 = 2*b. Suppose 13*l - b*l - 275 = 0. What is the highest common divisor of l and a?
25
Suppose 0 = -5*o - 0*o - 5*n + 200, -4*o - 3*n + 160 = 0. What is the greatest common factor of 10 and o?
10
Let o = -12346 + 12398. Suppose 8 = 2*u, 0*l + 5*u + 240 = 2*l. Calculate the greatest common factor of o and l.
26
Let g(v) = 2*v + 22. Let b be g(0). Let n(q) = -q - 5. Let f be n(-6). Let c(t) = 34*t**3 - t**2. Let x be c(f). What is the greatest common divisor of b and x?
11
Let x(h) = 2 + 9 + 1 + 7*h**2 - 9*h - 4 + h**3. Let r be x(-7). Suppose 5*c = 4*d - r, -2*d + 0*c = -2*c - 34. What is the greatest common divisor of 2 and d?
2
Let x be (-6)/4*(6 + -10). Let b(g) = 2*g - 7. Let y be b(5). Suppose -z = -2*u + 130, y*u + 5*z - 140 = 68. What is the highest common divisor of u and x?
6
Let o = -1543 - -1774. What is the greatest common divisor of 21 and o?
21
Let g = 0 + -18. Let o = -17 - g. Let v = 5 - 4. What is the greatest common divisor of o and v?
1
Suppose -24 = -s + 102. Suppose -2*z + 5*q = 20 - 73, 4*z - 4*q - 76 = 0. What is the highest common factor of z and s?
14
Let s be (-8)/(-3*3/90). Let a = s + -74. Calculate the highest common factor of a and 96.
6
Let d(f) = -9*f + 219. Let p be d(17). What is the highest common divisor of 374 and p?
22
Suppose -4*i = 4*l - 36, -5*i + 9*l - 13*l + 49 = 0. What is the greatest common divisor of i and 767?
13
Let k = 481 + -177. What is the highest common divisor of k and 48?
16
Let c(h) = h**3 + 3 + 9*h**2 - 9*h + 3 + 2. Let d be c(-10). Let a be -7 - -76 - (-8)/d. What is the highest common factor of a and 13?
13
Suppose -4*p - 132 = p - x, -5*x = 4*p + 123. Let f be 2/6 - 1586/(-39). Let w = f + p. Calculate the greatest common factor of 56 and w.
14
Suppose o + 12 = n, 2*o = -2*n - 2*o. Suppose 0*a - a + 4*y = -1, a = 3*y. Let r be (4 - (-12)/a) + 12. Calculate the highest common factor of r and n.
4
Let l = -5 + 1. Let g be (-2)/l - (-21)/6. Let y be (24/(-10) + 2)/((-38)/95). Calculate the highest common divisor of y and g.
1
Let w(q) = 444*q + 47*q**2 - 2 - 448*q - 1. Let p be w(-1). Calculate the highest common factor of 16 and p.
16
Let m be (30/21)/(1/196). Calculate the greatest common divisor of 120 and m.
40
Let b(v) = -12*v**3 - 2*v**2 + 2*v + 4. Let k be b(-2). What is the highest common factor of k and 12?
4
Let m be 3/6 + 9/2. Suppose m*s + 36 = 2*s. Let w(p) = -p + 14. Let l be w(s). Calculate the greatest common divisor of 39 and l.
13
Let o be (-14 - -15)/((-1)/(-12)). What is the greatest common factor of 12 and o?
12
Let t be ((-4)/(-5))/(4/10). Suppose -324 = -18*h - 18*h. Suppose 0 = -t*j - 5*z + 28, -4*z - 5 = -j + h. Calculate the greatest common factor of j and 21.
7
Let x(h) be the third derivative of -h**4/24 + 7*h**3/6 - 2*h**2. Let s be x(5). Let l be 3/((-34)/20 + s). What is the greatest common factor of 25 and l?
5
Suppose 2*f = -0*f - 2*v + 50, -20 = 5*v. Suppose 5*y - w - f = -0*w, 0 = 3*y - 4*w - 31. What is the highest common divisor of y and 5?
5
Let j be 20/((-12)/66 - (-6)/(-88)). Let m = j + 260. What is the greatest common factor of m and 18?
18
Suppose 0 = -8*s + 5*s + 15, -49 = 3*v + s. Let y be (v - -17)/(2/(-4)). What is the greatest common factor of y and 2?
2
Let l = -73 - -143. Let r = -45 + 57. Suppose 2*h = -0*h + 8, -4*h = -2*m + r. Calculate the highest common divisor of m and l.
14
Suppose 0 = -3*z + z + 66. Let r = z + -31. Calculate the highest common factor of r and 4.
2
Let f(r) = -r**3 - 8*r**2 - r + 8. Let b be f(-8). Suppose 0 = -15*z + 37*z - 44. What is the highest common factor of z and b?
2
Suppose -188 + 98 = -6*l. Let v(s) = s**2 + s - 2. Let h be v(-3). Suppose 300 = y + h*y. What is the highest common factor of y and l?
15
Suppose -270 = -3*r - 2*r. Let u be (-5 + 2)/(-3) + r. Suppose 5*s - 34 = -2*n + 31, -2*s + 4*n + 2 = 0. What is the highest common factor of s and u?
11
Let h(b) = 5*b**2 - 11*b + 12. Let o(c) = -9*c**2 + 21*c - 24. Let u(q) = -11*h(q) - 6*o(q). Let j be u(-6). What is the greatest common divisor of j and 4?
2
Let q = -11 + 137. Suppose 4*x = 2*t + 64, -t - 8 = t. Calculate the greatest common divisor of x and q.
14
Suppose -4*t - u = -578, 284 = 2*t - 9*u + 7*u. What is the highest common divisor of t and 9?
9
Suppose -3*l = -187 + 49. Calculate the greatest common divisor of 92 and l.
46
Suppose -4*i + 241 = -c + 213, -5*c = 2*i - 14. What is the highest common factor of 1855 and i?
7
Let j(m) be the third derivative of -1/6*m**4 + 5/2*m**3 + 0 - 3*m**2 + 0*m. Let o be j(-12). What is the greatest common factor of o and 42?
21
Suppose -11 - 1 = -3*p. Let m be p + 0 + (-117)/(-3). Let y be (-9)/(-18) + m/2. What is the greatest common divisor of y and 11?
11
Let p be (-28)/(3 - (-20)/(-8)). Let c be 3/(-2)*p/6. Let m = 11 + c. Calculate the highest common factor of m and 5.
5
Let s = 41 + -35. Let m be -1*(-2 + s - 229). Calculate the greatest common divisor of m and 25.
25
Let y be (2/(-3))/(6/(-1854)). Let b be 4/14 + y/14. Let t = -10 + b. Calculate the highest common factor of t and 5.
5
Suppose -5*s + 40*p + 587 = 42*p, 5*p = 4*s - 463. Suppose -2*z - 1 + 27 = 0. Calculate the greatest common divisor of s and z.
13
Let s(x) be the third derivative of -6*x**2 + 5/6*x**3 + 0*x + 5/24*x**4 + 0 + 1/30*x**5. Let z be s(-4). What is the greatest common divisor of z and 85?
17
Let s(r) be the first derivative of 11*r**3/3 - r**2/2 + 24. Suppose 3 + 1 = 2*t. Let g be s(t). Calculate the greatest common factor of 105 and g.
21
Let p = -343 - -350. Calculate the highest common divisor of p and 105.
7
Let n = 51 + -49. Suppose -w + n = -3*o - 46, 4*o = -2*w + 146. Calculate the greatest common divisor of w and 9.
9
Suppose 3*s + 4*r - 115 = -0*r, -2*s + 110 = -4*r. What is the greatest common factor of s and 15?
15
Suppose 2 = -3*q - 4*s, 2*s + 6 = 5*q + 4*s. Suppose 5*k + 296 = g, -q*k = -2*g - 132 + 708. Calculate the highest common factor of 26 and g.
26
Suppose l + 5*i + 1 = 55, -2*l = -2*i - 60. Let h(g) = 61*g - 464. Let o be h(9). Calculate the greatest common factor of l and o.
17
Let c be 2/8 + -2 + (-316)/(-16). Let n = -32 - -68. Calculate the greatest common divisor of n and c.
18
Suppose -m = -2*z - 125, -m - 42 = 3*z - 187. Let x(k) = k. Let s be x(-2). Let l be 5 - (-6)/s - -17. Calculate the highest common factor of l and m.
19
Suppose 5*p = 4*p + 5. Suppose 2*i - 9 = -s, -16 = p*i - s - 49. Calculate the highest common factor of i and 30.
6
Let v = -443 - -641. Suppose -5*n + 159 = -4*a + 37, 4*n + 4*a - 76 = 0. Calculate the greatest common divisor of v and n.
22
Let a(o) = 5*o**2 - 11*o - 19. Let r be a(-2). What is the highest common divisor of r and 23?
23
Let x(r) = -7*r**2 - 162*r + 53. Let w be x(-23). Suppose 9 = 2*y - 29. What is the highest common divisor of y and w?
19
Let p = -2263 + 2484. What is the highest common divisor of 136 and p?
17
Let z be (-4394)/(-12) + 15/(-90). Calculate the greatest common factor of z and 12.
6
Suppose 684 = z - 4*z. Let s be (-6)/14 - z/42. Suppose -s*u + 153 = -567. Calculate the highest common factor of u and 16.
16
Let o be (-26)/65 + 39/(-15). Let l(c) = -5*c - 6*c**2 + 16*c**2 + 5 - 2. Let p be l(o). Calculate the greatest common divisor of p and 27.
27
Suppose -68 - 17 = -5*p. Suppose 0*m + 4*b + 832 = 4*m, 5*m = 2*b + 1028. Suppose -3*g - m = -5*g. What is the greatest common divisor of g and p?
17
Suppose -177 = -2*s + 33. Let y(j) be the third derivative of -j**4/6 + 5*j**3/6 - 15*