21. Suppose 3*d + 6 = i, -d = i + 4*i - 62. Calculate the greatest common factor of q and i.
12
Let x be (-20)/(-14)*(-1 - -15). Let c be (42/(-5))/((-6)/x). What is the greatest common divisor of c and 70?
14
Suppose 5*c = -3*q + 276, 4*c - 30 = q + 184. What is the highest common divisor of c and 774?
18
Let o = -112 + 171. Let h = -17 + o. Calculate the highest common divisor of 105 and h.
21
Let z(b) = 0*b**3 + 2*b**3 + 9 - 4 + 5*b + 11 + 27*b**2. Let q be z(-13). Calculate the highest common divisor of q and 15.
15
Suppose 118 = -3*y - 5*s, -3*s + 126 = -6*y + 3*y. Let k = -22 - y. Suppose -9*u - 276 = -960. Calculate the highest common divisor of u and k.
19
Let p be (0 - 56/8) + 190. What is the greatest common divisor of 6 and p?
3
Suppose 4*r + 2*m = m - 19, -4*r - 29 = -m. Let p be (-38)/r - ((-50)/(-15) - 4). Calculate the highest common divisor of p and 77.
7
Suppose 4*r - 5*f = 1024, 17*f = r + 13*f - 256. What is the highest common divisor of r and 20?
4
Let t = -3487 + 3497. Let d be 4/(-18) - 137/(-9). Calculate the highest common divisor of t and d.
5
Let y = -35 + 33. Let n be (-2 + 4)*(-9)/y. What is the greatest common factor of n and 72?
9
Let p(o) = -86*o - 1. Let u be p(-1). What is the greatest common divisor of u and 17?
17
Let m(h) = -27*h - 3. Suppose -2*z + 3*i - 4 = 0, -z - 7 = -0*z - 4*i. Let v be m(z). Let x be v/(-9) - (-6)/9. What is the highest common factor of 12 and x?
4
Let t = -2 + 12. Suppose -6 = -4*m + r + 85, -t = -m - 4*r. Let l(o) = 2*o**2 - 15*o - 30. Let a be l(-3). What is the greatest common divisor of m and a?
11
Let n be (-84)/54*9/(-2). Let i = 2 - 1. What is the highest common divisor of i and n?
1
Suppose -16*a + 719 = -17. Suppose -q + 4*q = 345. What is the highest common factor of a and q?
23
Let z = 4 + -79. Let r be ((z/(-2))/(-5))/(2/(-16)). Calculate the greatest common divisor of 12 and r.
12
Suppose 0 = -78*t + 7418 + 1162. Calculate the highest common factor of 220 and t.
110
Suppose 2*j = u + 345, 2*u = 4*j + 6*u - 672. Suppose -2*q + 4*o + 38 = 0, -o + 76 = 4*q - 3*o. Calculate the highest common divisor of j and q.
19
Suppose 0 = o + y - 5, 4*o = 9*o - 4*y - 34. Suppose -o*j = -j - 60. What is the highest common factor of 36 and j?
12
Let r(c) = 5*c - 3. Suppose -4*x + 5 = -i, -4*x + 25 = i - 6*i. Suppose x = 6*s - 10*s + 20. Let d be r(s). Calculate the greatest common factor of 55 and d.
11
Suppose 3*w + 0*w + d + 47 = 0, 4*d = 16. Let r = 46 - w. What is the greatest common factor of r and 42?
21
Let f be ((-20)/(-45))/((-2)/(-12)*16/24). Let d(o) = 2*o + 4. Let y be d(-5). Let s be 1/3 + (-22)/y. Calculate the highest common factor of f and s.
4
Suppose -3*r = -2*r + 3*u - 12, -3*u = -2*r - 21. Let x = 14 + r. What is the highest common divisor of x and 11?
11
Let b = 753 - 730. Calculate the greatest common divisor of b and 575.
23
Let k be (-4)/((-8)/74) + 3. Suppose 2*r - 5*o - 116 = 0, 5*r - 228 = 2*o - 5*o. Let l = r + k. Calculate the highest common divisor of 11 and l.
11
Let d(n) = n**2 + 4*n + 4. Let u be d(8). Suppose -3*v + 4*v = j - u, 4*v = -2*j + 176. What is the highest common divisor of j and 12?
12
Let v be (-8)/(-6)*(-6)/(-4). Let p = -697 - -705. What is the greatest common divisor of v and p?
2
Let b = 101 + -69. Let v be 31/4 + 8/b. What is the highest common divisor of v and 20?
4
Let b = -30 - -12. Let w be (-48)/(-9)*b/8. Let n = 0 - w. Calculate the greatest common divisor of n and 108.
12
Let b(a) be the third derivative of a**5/60 + a**4/6 - 5*a**3/6 - 5*a**2. Let m be b(5). What is the greatest common factor of 5 and m?
5
Let l(i) = 5*i**2 - 17*i + 26. Let g be l(4). What is the greatest common factor of g and 817?
19
Suppose 3*f - 210 = -2*f. Let i(p) = p**3 - 17*p**2 + 42*p - 75. Let b be i(15). What is the highest common factor of b and f?
21
Let u be -5*(-3)/((-15)/(-2)). Let m be -2 + 0 + (-1 - -7). Let q be 75/m + 9/(-12). Calculate the greatest common factor of u and q.
2
Let n = -13 - -23. Let w be 10/4*104/n. Let j be 76/2 + (-3)/(-3). What is the greatest common divisor of w and j?
13
Suppose -6*f + f = -100. Let s = f + -13. Let y(v) = -7*v**3. Let u be y(-2). Calculate the greatest common divisor of u and s.
7
Suppose -4*o - 8 = -24. Let g be o/40*398 + (-4)/(-20). What is the highest common divisor of 4 and g?
4
Suppose -23*f = -26*f - 6. Suppose -2*a + 13 + 3 = 0. Let q = a - f. What is the highest common divisor of q and 10?
10
Let c = 46 + -49. Let x = c - -10. Let g(w) = -w**3 - 3*w**2 - 3*w - 2. Let i be g(-3). What is the greatest common divisor of x and i?
7
Let o = 69 - 33. What is the highest common factor of o and 27?
9
Let j(g) = -g**2 - 18*g + 16. Let n be j(-20). Let z be (-1 - (-36)/5) + n/(-30). Let t be (1 - 0)*(8 + -1). What is the greatest common divisor of z and t?
7
Suppose 3*x = 5*x + 30. Let r = -10 - x. Suppose 4*h = r*b - 192, b - 5*b = -2*h - 150. Calculate the highest common divisor of 4 and b.
4
Let h be 2192/44 - 8/(-44). Let u = h - 18. What is the highest common factor of u and 8?
8
Suppose -2*c - 51 + 311 = 0. Suppose 2*g = -0*g + c. Let h(k) = 6*k**2 - 2*k - 2. Let v be h(-2). Calculate the highest common factor of v and g.
13
Suppose -10*b + 5*b = d - 29, -4*b + 61 = 5*d. Calculate the highest common factor of 450 and d.
9
Suppose 0 = 4*i - 3*i - 2. Let p be i - (0 - 3 - 1). What is the highest common divisor of p and 66?
6
Let p = 22 + 138. What is the highest common divisor of p and 20?
20
Let v be 3 - (38*-2 - 0). Suppose -8*d + 303 = v. Calculate the highest common divisor of 7 and d.
7
Let y(d) = d**3 + 6*d**2 - 42*d - 231. Let c be y(-6). What is the greatest common factor of 51 and c?
3
Suppose a - 276 = -5*p, -3*p = -p - 2*a - 108. Suppose t - 4 = 3. Let u be (-156)/(-7) + (-2)/t. Calculate the highest common divisor of p and u.
11
Suppose 69 = 7*q - 57. Let i be 2172/q + 2/(-3). Suppose 4*a - 3*k = 63, 3*a = 2*a + k + 16. Calculate the greatest common factor of a and i.
15
Let j(k) = k**2 - 32*k + 27. Let p be j(31). Let t(w) = -11*w - 22. Let l be t(p). What is the greatest common factor of l and 44?
22
Suppose -83*l + 17*l + 2310 = 0. Suppose -31 = -4*j - 3. What is the greatest common factor of l and j?
7
Let y = -169 - -197. What is the highest common factor of y and 1428?
28
Suppose -2*d = 3*m - 67, 23 = d + 2*m - 4*m. Let b be 4901/d + (-6)/(-2). Calculate the highest common divisor of 43 and b.
43
Let t be (-6)/4*(7 - -41)/(-2). What is the highest common factor of 4 and t?
4
Let r be (-5 + 3)/(10/(-145)). Calculate the highest common factor of 29 and r.
29
Suppose 5*u - 20 + 0 = 0. Suppose 37 = a + u*h, h + 55 = 3*a - h. Calculate the highest common factor of a and 21.
21
Suppose -6*z + 52 = -194. Let o = 59 - z. Calculate the highest common divisor of 162 and o.
18
Let t(c) = -c**3 - 7*c**2 - c - 5. Let g be t(-7). Suppose 8*f - 720 = g*f. Calculate the greatest common divisor of 12 and f.
12
Let u = 2187 - 1592. Calculate the highest common factor of 70 and u.
35
Let f(q) = -2*q - 15. Let n be f(-12). Let d be (130/(-15) + n)*(-1 + 10). Calculate the highest common divisor of d and 48.
3
Let x = 2 - -2. Let z(q) = 7*q + 17. Let m be z(x). Calculate the highest common factor of 10 and m.
5
Suppose -s - 3*l = -13, 3*s - 6*l + 3 = -l. Suppose -4*b + 4 = -s. Let p be ((-12)/(-18))/(b/39). What is the highest common divisor of p and 13?
13
Let m(b) = b**3 + 4*b**2 + 2*b. Let p be m(-3). Suppose -p*o + 5*o = 0. Let l be 13 - (3/1 - o). What is the greatest common divisor of l and 20?
10
Suppose -3*i + 4 = 10. Let l be (-2 + 22/i)*(-2 + -2). Calculate the greatest common divisor of l and 130.
26
Let i(z) = -54*z + 276. Let b be i(5). Calculate the highest common factor of 1398 and b.
6
Suppose 2*f = -4*u - 46, 2 = 2*f + 8. Let g = 32 - u. Let i(z) = z**2 + z - 9. Let y be i(-9). Calculate the greatest common factor of g and y.
21
Let q(p) = 9*p - 15. Let r(w) = -8*w + 14. Let c(l) = 4*q(l) + 5*r(l). Let h be c(-8). What is the highest common factor of 6 and h?
6
Suppose -1312 = -5*n + 4*d, 0 = n - d - 41 - 222. Calculate the greatest common divisor of n and 20.
20
Let b = 829 + 2601. What is the greatest common divisor of b and 70?
70
Let g = -97 + 98. Let z be (1 + -4)*4/(-3). Suppose