t g be z(9). Let n = -170 - -186. Calculate the greatest common divisor of n and g.
16
Suppose 0 = i + 10 - 12. Suppose -i*t + 352 = 2*t. Calculate the highest common divisor of t and 22.
22
Suppose -3*n - 4*j + 569 = 0, -8*n - 5*j = -12*n + 800. Calculate the highest common divisor of 90 and n.
15
Let t be (2 - 0) + 1 + 0. Suppose 5*w - 2*x = 21, -2*x = w + 2*w - 3. Calculate the greatest common factor of t and w.
3
Let l = -126 + 266. Calculate the greatest common factor of l and 40.
20
Let z be 51/(-1)*(-4)/6. What is the highest common divisor of 102 and z?
34
Let n(t) = 23*t + 28. Let r be n(16). Calculate the greatest common divisor of r and 108.
36
Let g be ((-20)/(-4))/5 - -1. Suppose -g*k + 5 = -5. Let x = 57 + -17. Calculate the greatest common factor of k and x.
5
Let b be -2*13*(1 - -9). Let h be 28*(b/(-16) + -1). Suppose -3*r + 2*j = 4*j - h, 5*r - j = 729. Calculate the highest common factor of 29 and r.
29
Let p(t) = 3*t**2 + 9*t + 5. Let y be p(-5). Suppose -1122 = -41*d + y*d. What is the greatest common factor of 17 and d?
17
Let k be 7 + -3 + -1 - (-39 + 15). What is the highest common divisor of 4 and k?
1
Let x = 454 + -388. Calculate the highest common divisor of x and 429.
33
Suppose -211*y - 45 = -214*y. Calculate the greatest common divisor of 93 and y.
3
Let o(i) = -i - 3. Let z = -12 - -7. Let d be o(z). Suppose q - d = 3. What is the greatest common factor of q and 2?
1
Suppose -3*b + 19 = 10, -o + 4*b + 226 = 0. Calculate the highest common divisor of o and 34.
34
Let m(t) = -332*t**2. Let y be m(1). Let i be (-2 - y/20)*5. Let v = i + -9. Calculate the highest common divisor of v and 8.
8
Suppose 0 = 5*k + 5. Let h be -2 + 0/(-1) - k. Let n be 5 + 5 + (h - -3). Calculate the greatest common factor of n and 24.
12
Suppose 3*o = -5*x + 108, -x + o + 10 + 18 = 0. Suppose 2*s + x = r - s, r - s - 16 = 0. Let z = r - -6. Calculate the greatest common divisor of 6 and z.
6
Let d(a) be the first derivative of -3*a**2 + 17*a - 27. Let f be d(-4). Calculate the highest common divisor of 328 and f.
41
Suppose 0 = 5*u - 170 - 105. Let z(x) be the third derivative of x**4/12 - x**3/6 - 6*x**2. Let k be z(3). What is the highest common factor of k and u?
5
Suppose 0 = -2*r + 4*z + 1 + 69, -3*r + 96 = 3*z. Let m = r - 31. Suppose 0 = i + m*i - 660. Calculate the highest common factor of 20 and i.
20
Suppose 4*b = -5*f + 24, -7*f = -4*f - b - 28. What is the greatest common factor of f and 344?
8
Suppose 63*l = 56*l + 154. Calculate the greatest common divisor of l and 55.
11
Let f(b) = -b**3 + 11*b**2 - 9*b - 3. Let c be f(10). What is the greatest common factor of c and 1?
1
Let r be 12/(-5)*95/(-19). Suppose 3*y + 1500 = 7*y. Suppose -r*w = -7*w - y. What is the highest common factor of w and 25?
25
Suppose c + f = 3 + 42, -3*c - 4*f + 132 = 0. Let r be (-10)/4*c/(-20). What is the highest common factor of 78 and r?
6
Let i(v) = -5*v**2 - 10*v**3 + 9*v**3 + 3*v**2 + 11*v - 9*v**2. Let n be i(-12). What is the highest common factor of n and 84?
12
Let s(r) = r**3 + 2*r + 25. Suppose 4*g + 4*i + 8 = 0, -2*i = -2*g + 5 - 1. Let d be s(g). Calculate the greatest common divisor of d and 100.
25
Suppose 4*i = -16, 3*i + 44 + 4 = 2*p. Calculate the greatest common divisor of 36 and p.
18
Suppose -17*v = 18*v - 35805. Calculate the greatest common factor of 22 and v.
11
Let j(l) = -l - 36. Let c be j(-17). Let p(d) = -3*d - 41. Let b be p(c). Let f(q) = 6*q - 6. Let n be f(5). What is the highest common divisor of b and n?
8
Suppose 0*q + 4*q = -3*u + 88, 0 = -3*u + q + 113. Suppose l + 2*l = 2*r - 56, 2*r + 84 = -4*l. Let g = l + u. Calculate the highest common factor of g and 80.
16
Suppose -11*a + 1183 = -863. Calculate the highest common factor of 62 and a.
62
Let t = 1928 - 1546. Calculate the highest common factor of t and 2.
2
Let h(x) = -x**2 - 8. Let p be h(6). Let z be (-260)/(-22) + (-8)/p. Suppose 0 = 4*n - z, -2*a + n = 3*n - 104. What is the highest common factor of a and 7?
7
Let q = 665 + -654. What is the greatest common divisor of 275 and q?
11
Let i(k) be the third derivative of k**5/60 + 11*k**4/12 - 17*k**3/2 + 30*k**2. Let h be i(-25). Calculate the highest common divisor of 6 and h.
6
Let m(a) = 2*a**3 + 18*a**2 + 14*a - 10. Let i be m(-8). What is the highest common factor of 102 and i?
6
Let j = 19 - 12. Suppose 3*p - j*p = 0. Suppose p = -t + 2*t - 161. Calculate the greatest common factor of 23 and t.
23
Let t be (((-32)/6)/4)/(3/9). Let f be 4 + (-282)/t + (-2)/(-4). What is the highest common factor of 30 and f?
15
Let y = -98 - -102. Suppose y*c + 20 = 6*c. Calculate the highest common factor of 35 and c.
5
Let u be (-2240)/(-175) + (-1)/(-5). Suppose -17 = -3*b - 41. Let m = u + b. Calculate the highest common divisor of 10 and m.
5
Let t = 575 - 471. What is the highest common divisor of t and 169?
13
Let y(l) = -5*l - 44. Let p be y(-8). Let x be 5/((-10)/(-134)) + p. Suppose b = 6*b - 45. Calculate the greatest common factor of b and x.
9
Suppose 4*d + 0*d = 96. Suppose -d = -5*u + 3*u. Calculate the greatest common factor of u and 6.
6
Let i be 3*(0 - (-4)/6)*4. Suppose 2*g + i = 0, 5*r = 4*g - g + 177. What is the greatest common divisor of r and 3?
3
Let q(g) = 3*g**2 - 50*g - 9. Let d be q(17). Let y(p) = p**3 - 5*p**2 + 2*p - 8. Let a be y(6). Calculate the greatest common divisor of d and a.
8
Suppose -2*p + 4*n = 14, -6*p + 11*p - 30 = -3*n. Suppose 2*o + 4*j - 28 = 0, 2*o - 5*j = p*o - 29. What is the highest common factor of o and 24?
4
Suppose 2 - 11 = -q - 3*o, 3*q - 2*o = 16. Let j be (0 + 42/49)*-1*-14. What is the greatest common factor of j and q?
6
Let o(i) = -13*i - 83. Let s be o(-15). Calculate the greatest common divisor of 7 and s.
7
Suppose 131*a - 96 = 127*a. What is the highest common divisor of 456 and a?
24
Suppose 0 = 3*p + s - 41, 3*s = -p + 4*p - 21. Calculate the highest common divisor of p and 20.
4
Let o = -149 + 212. Let j be 665/40 + -10 - 3/(-8). What is the highest common factor of j and o?
7
Let c = 9 + -7. Suppose 2*f - 3*h + c*h - 11 = 0, -f + h = -3. What is the greatest common divisor of f and 24?
8
Let g(l) = l**2 + 4*l + 4. Let o be g(-5). Suppose 0 = -3*t - 12, 11*t = -4*j + 15*t + 160. What is the greatest common divisor of j and o?
9
Let s = -457 + 283. Let v = s - -42. Let b = v - -258. What is the greatest common divisor of b and 42?
42
Suppose -97 = -2*n - 3*t, 2*n + t - 2*t = 117. Calculate the highest common factor of 72 and n.
8
Suppose -h + 3*o = 140, -o - 2*o - 262 = 2*h. Let i = h + 190. What is the highest common divisor of i and 8?
8
Suppose 7*k - 2169 = 127. Calculate the highest common factor of k and 82.
82
Let q(l) = -9*l + 3. Let m be q(1). Let d be ((-1)/(-2))/(m/(-36)). What is the highest common divisor of 12 and d?
3
Suppose 7*g - 12 = 9. What is the greatest common divisor of 15 and g?
3
Let n(p) = p**3 + 10*p**2 + 5*p - 10. Let z be n(-5). What is the greatest common divisor of z and 50?
10
Let f = -397 - -433. What is the highest common divisor of 4 and f?
4
Let p be 1 + (2 - 90*1). Let t = 37 + p. Let g = t + 74. What is the greatest common factor of g and 6?
6
Let v be (17*7/21)/(1/15). Suppose 4 = -5*m + 3*m. Let b(g) = -5*g**3 - 2*g**2 - g. Let y be b(m). What is the highest common divisor of v and y?
17
Suppose 29*z - 5*z - 1224 = 0. What is the highest common factor of z and 51?
51
Let p be (1 - (-8)/(-4)) + 6. Suppose 0 = 5*m + 4*s - 254, -4*s = -p*m + s + 245. Let x be (-3)/(-9)*3*m. What is the greatest common divisor of x and 25?
25
Let u be (-920)/138*(-306)/15. What is the highest common factor of 1836 and u?
68
Let n be (-7 + 8)/(12/3828). Calculate the highest common divisor of n and 116.
29
Let l = -75 - -311. What is the highest common divisor of 8 and l?
4
Let c be (-62)/(-22) + 2/11. Let x be ((-2)/c)/((-12)/90). What is the greatest common divisor of 1 and x?
1
Suppose 26*a + 391 - 1015 = 0. What is the greatest common divisor of a and 264?
24
Suppose -n + 36 = -3*m, 3*n + 5*m - 86 = 3*m. Let c(q) = -q**3 - 5*q**2 - 5*q + 5. Let f be c(-5). Calculate the highest common factor of f and n.
30
Suppose 5*o = -8 - 12. Let a be ((-2)/o)/(-1 + 759/756). Calculate the highest common divisor of 14 and a.
14
Let d = -