s + 5*z - j = 50, -2*s - 5*z - 75 = 0. Let r = s + 101. Calculate the greatest common divisor of 8 and r.
8
Let k(a) = 5*a + 24. Let z(m) = 1. Let l(o) = k(o) + 3*z(o). Let r be l(-5). What is the greatest common divisor of r and 10?
2
Let a(n) = -n**3 + 11*n**2 - 4*n - 2. Let f be a(4). Let x be 8/(-12) + f/6. What is the greatest common divisor of 15 and x?
15
Suppose -g + 26 = 28, 2*t - 2*g - 8 = 0. Let y = -1 - -3. Calculate the greatest common divisor of y and t.
2
Suppose 0 = -15*g + 13*g + 8. Suppose -2*o - 5*d = -10 - 13, 3*o = 2*d + 82. Calculate the highest common factor of g and o.
4
Suppose 6*x = 4 + 2. Suppose -x = z - 2. Suppose -n + 10 = z. Calculate the greatest common divisor of 45 and n.
9
Let a = 92 + -87. Suppose -2*z - 312 = -a*z. What is the highest common divisor of z and 8?
8
Suppose 4*l + 1766 = 318. Let x = 637 + l. What is the greatest common divisor of 25 and x?
25
Let s = -130 - -133. Suppose 0 = -3*l - 3, -4*n - 3*l = 2*l - s. What is the highest common divisor of n and 8?
2
Suppose 6 + 3 = f. Let m(b) = 5*b**3 - 14*b**2 + 3. Let o be m(4). Calculate the highest common factor of f and o.
9
Suppose -7*k + 40 + 485 = 0. What is the highest common factor of k and 175?
25
Let i(l) = l**2 - 13*l - 9. Let v be i(18). Suppose -4*r = -r - v. What is the greatest common divisor of r and 9?
9
Suppose 0 = 2*z - 5 - 5. Suppose 4*y + 51 = 4*m + y, 0 = z*m - 2*y - 62. Calculate the greatest common divisor of 96 and m.
12
Let o(h) = h + 18. Let w be o(6). Let k = w + 0. Suppose 2*s - k = 52. What is the greatest common factor of 57 and s?
19
Let o be 2/(-15) + ((-392)/(-15) - -2). What is the greatest common factor of 238 and o?
14
Let y(i) = -4*i - 36. Let b be y(-9). Suppose b = -10*g + 186 + 4. Calculate the highest common divisor of g and 76.
19
Let a be -56*((-20)/(-35))/(-2). Calculate the highest common divisor of a and 304.
16
Let v be (-8)/12 + (-5480)/(-30). What is the highest common factor of v and 26?
26
Let v be 316/9 + -3*(-8)/(-216). Calculate the highest common divisor of v and 25.
5
Let w(k) = 3*k**2 + 2*k - 9. Suppose 3*s + 4*d = -7 - 4, 0 = 4*s - 5*d - 37. Let z be w(s). What is the highest common divisor of 48 and z?
24
Let i(z) = z + 8. Let b be 2/(-6) + (-152)/(-24). Let q be i(b). Suppose -2*j = -n + 3*n - q, -j = -5*n + 29. What is the highest common divisor of n and 3?
3
Let b(g) = 2*g + 62. Let p be b(-16). What is the greatest common divisor of 190 and p?
10
Suppose -j + 40 = 4*c, -2*c - 149 = 4*j - 267. What is the highest common divisor of 42 and j?
14
Suppose 10 = -a + 2*a. Let j = -657 + 672. What is the highest common divisor of a and j?
5
Suppose 2*p = -0*u + 5*u - 26, -2*u - p + 5 = 0. Suppose 28 + 4 = u*o. What is the greatest common divisor of 4 and o?
4
Let d(a) = a**3 - 5*a + 3. Let m be d(2). Let z be (14/(-35))/(m/(-240)). Calculate the highest common divisor of 12 and z.
12
Let w = 7 - 17. Let s = -7 - w. Let d = s - -65. What is the greatest common factor of d and 17?
17
Let p(i) = i**2 + 3*i - 3. Let c be p(-5). Suppose 2*a = 4*d - 0*d - 4, -a - c = -3*d. Calculate the highest common divisor of a and 72.
8
Suppose -g - 2 = -0*g. Let w = g - -7. Suppose -76 = -2*x - w*n - 13, 2*x = -3*n + 73. What is the greatest common divisor of x and 22?
22
Let i = -157 + 177. Suppose 0*b + 4*q = 2*b - i, -b = -q - 14. Suppose -6*x = -x - 60. Calculate the highest common factor of x and b.
6
Let r be (4 - 1) + 41 + (-5 - -3). Let v(k) = -k**2 + 11*k + 4. Let g be v(10). What is the highest common factor of r and g?
14
Let a be (-1 - (1 + 148))*-1. Suppose 16*j - 6*j - a = 0. What is the greatest common factor of 135 and j?
15
Suppose -2*d + 20 = 4*m, 0 = 4*d + 3*m - 29 + 9. Suppose 15 = -d*c + 43. Calculate the highest common divisor of 42 and c.
14
Suppose k = u + 20, 3*k - 4*u = 43 + 22. Let a be (-1 - -6) + (-1 - -1). Calculate the greatest common factor of k and a.
5
Let t = 16 + -1. Let k = 15 + t. Let o = k + 6. Calculate the highest common divisor of 18 and o.
18
Let z(g) = -g**2 - 22*g + 419. Let c be z(12). Let h = 185 + -86. What is the highest common factor of h and c?
11
Suppose h + 0*h = 10. Let y be -11 - -7 - (5 + -19). What is the highest common divisor of h and y?
10
Suppose 12*m + 526 - 1774 = 0. What is the greatest common factor of m and 26?
26
Let s = -68 + 44. Let z = s - -23. Let c(w) = -7*w**3 - w. Let d be c(z). Calculate the highest common factor of d and 72.
8
Let l = 436 + -249. What is the highest common factor of l and 11?
11
Let h = -13 + 16. Let a(w) = -w + 15. Let m = -12 - -21. Let k be a(m). Calculate the highest common divisor of h and k.
3
Let w = 183 - 161. Calculate the highest common factor of 33 and w.
11
Let r(u) = 4*u**2 - 8*u + 10. Suppose -s + 6 = n, 0 = n + 5*s - 9 - 5. Let g be r(n). Calculate the highest common factor of 42 and g.
42
Suppose -30 = -2*p + 50. Suppose -2*q + 6*q - p = 0. Calculate the highest common divisor of q and 90.
10
Let v be 46 - (21/7)/((-6)/4). Let d = v + -47. Let q be 1 - (-1 + 1/(-1)). What is the greatest common factor of d and q?
1
Let y = 122 + -54. Suppose -2*s - 43 + 145 = 0. Calculate the greatest common divisor of y and s.
17
Let z(u) = u**2 - 27*u - 275. Let b be z(35). Let f = 51 + -26. Calculate the highest common divisor of f and b.
5
Suppose 0 = -3*l - 12, 4*i + 16 = 4*l + 68. Let b = 27 - 18. Suppose -5*c + b = -2*c. What is the greatest common divisor of i and c?
3
Let n = -179 + 197. Calculate the highest common factor of n and 162.
18
Let a(u) = 3*u**2 - u. Let t be a(-1). Let r = t + -8. Let o be (-1)/(-4) - 3/r. Calculate the highest common factor of 4 and o.
1
Let h = -39 - -162. Suppose 0 = -3*l + a + 131, 3*l - 3*a = -0*l + h. Calculate the greatest common factor of 18 and l.
9
Let r(c) = c + 2. Let o be r(-2). Suppose 0 = -o*t + 2*t - 320. Suppose -2*d = -v + 5*v - 56, 104 = 5*d + v. What is the highest common divisor of t and d?
20
Suppose m = 2*p - 4*m - 5, -25 = -p - 5*m. Suppose p = 3*r + 2*r. Let g = -4 - -12. Calculate the highest common factor of r and g.
2
Suppose 152*n = -3*p + 155*n + 4227, -2*n + 4 = 0. What is the greatest common factor of 17 and p?
17
Let r(m) = 26*m + 1. Let u be r(1). Suppose -54*h = -1105 + 133. What is the greatest common factor of h and u?
9
Suppose 14*l - 12 = 11*l. Suppose h - 15 = -x, -2*h + 4 = -l*x + 34. What is the greatest common divisor of x and 10?
10
Let m(r) = -r - 3. Suppose 4*p - 40 = 9*p. Let j be m(p). What is the greatest common divisor of 55 and j?
5
Suppose -5*t + n + 455 = -4*n, 4*n - 12 = 0. Suppose 0 = -14*x + t + 102. What is the highest common divisor of x and 21?
7
Suppose 3*t - 115 = 3*b + 68, -3*b + 69 = t. What is the highest common divisor of t and 567?
63
Suppose 2*u + u = 12. Suppose -u*x - 3*f + 217 = 0, -4*f + 2*f = -2*x + 112. Calculate the greatest common divisor of 5 and x.
5
Suppose 2*s - 2*z - 290 = 0, -3*s - s - 2*z = -592. Calculate the greatest common divisor of s and 49.
49
Suppose -56 - 26 = -5*b - z, -3 = z. Let i = -18 - -35. Calculate the highest common divisor of i and b.
17
Let b = -23 - -19. Let w be 0 + 3/(-3) - b. Suppose w = g + 2*g. Calculate the highest common factor of g and 9.
1
Let t(s) = -14*s**2 + s + 1. Let i be (0 + 1)/(1 - 2). Let r be t(i). Let w be (45/2)/((-7)/r). What is the highest common factor of 30 and w?
15
Suppose -2*s + 320 = 2*b, 11*s - 4*b = 6*s + 818. Calculate the highest common factor of s and 396.
18
Let v = -925 - -1464. What is the greatest common factor of v and 22?
11
Let p(u) = 74*u + 430. Let o be p(-5). What is the highest common factor of o and 140?
20
Let j be 3 + 6 + (-2)/(-2). What is the greatest common divisor of j and 230?
10
Suppose -10*p + 860 + 340 = 0. Calculate the highest common divisor of 64 and p.
8
Let n(f) be the second derivative of f**4/12 + f**3/3 + 5*f**2/2 + 32*f. Let v be n(-3). What is the highest common divisor of 1 and v?
1
Let l = 54 - 50. Let i(s) = s**3 + s**2 - 7*s + 29. Let k be i(l). What is the highest common divisor of k and 108?
27
Let s(o) = -113*o**3 + 48*o + 47. Let a be s(-1). Calculate the greatest common divisor of a and 70.
14
Let k(o) = -o**3 + 6*o**2 + o + 6. Suppose -l - 3 = -7. Let s = l - -1. Let d be k(s). What is the greatest common d