a be 2/3 - (-182)/6. What is the highest common factor of a and w?
31
Let q(k) = -k**3 + 9*k**2 - 6*k - 6. Let f be q(8). Let p be 1/(-3)*(1 + -1). Suppose p = -4*b + 2*b + 2. Calculate the highest common factor of f and b.
1
Suppose -3*f + 25 + 8 = 0. Suppose 10*l - 3*z = 13*l - 366, 4*l = -z + 485. Calculate the greatest common factor of l and f.
11
Suppose 86*q - 7684 = -976. What is the greatest common divisor of 1560 and q?
78
Suppose 2*w = w + 144. Suppose 4*h - h - 17 = -x, -2*h + 23 = 3*x. Suppose -4 = -i + x*u + 4, 2*u = 2*i - 32. Calculate the highest common divisor of i and w.
18
Let f(a) = 41*a**2 - 4*a - 4. Let x be f(-2). What is the greatest common factor of x and 21?
21
Let v(w) = -2*w**3 + 6*w**2 - 3*w - 1. Let y be v(2). Suppose 3 = m - 4. What is the highest common divisor of m and y?
1
Let r(a) = 18*a**2 - 12. Let k be r(-3). Suppose 4*m + z = 3*z + k, -m - 5*z + 43 = 0. Calculate the greatest common divisor of m and 95.
19
Let s = -8 - -17. Suppose 582 = 4*o + 2*a, -a + s = 2*a. Calculate the greatest common factor of o and 18.
18
Let b(h) = -h**2 + 36. Let w be b(0). Let c(v) = 53*v**3 + v**2 - 2*v + 2. Let q be c(1). What is the highest common divisor of w and q?
18
Let g(i) be the third derivative of 5*i**4/12 - 26*i**3/3 + 37*i**2. Let n be g(6). Suppose l + 6 = 4*l. Calculate the highest common factor of l and n.
2
Suppose -269 = 4*d + h + 165, -4*h = -8. Let x = d + 119. Calculate the greatest common divisor of x and 30.
10
Let s(v) = 9*v + 32. Let z be s(6). What is the greatest common divisor of z and 1161?
43
Let a(j) = j + 21. Let m(o) = -2*o. Let q be m(-2). Let v be a(q). Calculate the highest common divisor of v and 10.
5
Suppose -4*i + 5*i - 5 = 0. Suppose i*a + 17 = 92. Suppose 1 = 2*j - a. Calculate the highest common divisor of 24 and j.
8
Let d(c) = c**3 + 5*c**2 - 3*c - 12. Let n be d(-5). Suppose n*m - 324 = 108. Calculate the greatest common divisor of m and 16.
16
Let l(i) = -37*i + 5*i + 9 + i - 31*i. Let r be l(-3). What is the highest common factor of r and 78?
39
Suppose -4*f - 8 = -5*h, h - 3 = 3*f + 3. Let q be 1 + (-348)/(-4) + h. What is the highest common factor of q and 8?
8
Suppose 2*u + 5 = 33. Let y be (-4)/u - (-382)/14. Suppose -a + y = -37. Calculate the greatest common factor of a and 8.
8
Suppose 0 = 10*c - 4*c + 30. Let k(t) = t**2 + t - 7. Let r be k(c). Calculate the greatest common divisor of 65 and r.
13
Suppose 8*a = -515 + 4387. Suppose 0 = 13*y - a - 530. Calculate the highest common factor of y and 6.
6
Let f be 3 + (-1)/(3/15). Let r = 5 - f. Let d be r + -10 - 3*-7. What is the greatest common factor of d and 18?
18
Let i(c) = -c**3 + 20*c**2 + 8*c - 158. Let x be i(20). Let z = 11 + -7. Calculate the greatest common factor of z and x.
2
Suppose -29 = -o + 47. Calculate the greatest common factor of o and 342.
38
Let m(f) = 3*f + 6. Let i be m(3). Suppose -2*t = 5*v + 2*t - 130, i = 3*t. Calculate the highest common factor of 33 and v.
11
Suppose 80*w = 66*w + 224. Calculate the highest common divisor of w and 400.
16
Let v(b) = 3*b**3 - 4*b + 4. Let j be v(2). Suppose 5*q - 4*q + 56 = 0. Let g = -26 - q. Calculate the greatest common factor of g and j.
10
Suppose -k + 2*u = 4*k - 221, 4*k + 3*u = 186. What is the highest common factor of 27 and k?
9
Let m = -65 + 181. Suppose m = y - 12. What is the greatest common factor of 16 and y?
16
Let x = 64 - 87. Let f(n) = -n**3 - 22*n**2 + 21*n - 2. Let s be f(x). Calculate the highest common factor of s and 44.
44
Let m(f) = 9*f**2 + 4*f - 7. Let c be m(3). Suppose -c*i - 20 = -88*i. What is the highest common factor of 90 and i?
10
Let n(z) = -169*z - 408. Let x be n(-7). Calculate the greatest common factor of 31 and x.
31
Suppose 11 = 6*u - 19. Suppose -1 + u = 4*r. Calculate the highest common divisor of 7 and r.
1
Suppose 5*q + 2*k = 308, -3*k - 127 = 33*q - 35*q. Calculate the highest common factor of q and 93.
31
Let d = 286 + -170. Suppose -4*i = -d - 64. Calculate the highest common divisor of i and 5.
5
Let w = -559 - -704. Calculate the greatest common factor of 58 and w.
29
Suppose -10*f + 800 = -2*f. Let k be (-1)/((-1)/3) + -1. Suppose b = -1, -2*b + f = 4*r + k*b. Calculate the greatest common factor of 286 and r.
26
Let u = 17 - 27. Let z = 22 + u. Calculate the highest common factor of z and 12.
12
Let o be (0/1)/((-2)/2). Suppose o = -i + 57 - 46. Calculate the greatest common divisor of i and 33.
11
Let i(q) = -69*q**2 - 1 - 32*q**2 - 122*q**2. Let n be i(-1). Let x = 10 - n. Calculate the greatest common divisor of x and 26.
26
Suppose 3*m + 3*v - 708 = 0, -3*m + 6*m + 2*v - 710 = 0. What is the highest common factor of m and 14?
14
Let f = -135 + 190. Suppose 46 = g + 2*z, 0 = g - 2*g - 5*z + f. Calculate the greatest common factor of 100 and g.
20
Let z(x) = x + 24. Suppose 4*k + 5*i = -86, -5*k + i + 4*i = 85. Let r be z(k). Let j be (r - -1) + (-5 - -1). Calculate the highest common divisor of 6 and j.
2
Suppose 7*n = 853 + 477. Let c = n + -110. What is the greatest common divisor of 32 and c?
16
Suppose -a = a. Suppose 2*d = 9 - 1, a = w + 3*d - 17. What is the highest common factor of 55 and w?
5
Let b(f) be the third derivative of 11*f**4/12 - 21*f**3/2 + 17*f**2. Let t be b(4). Suppose -5*g - 5 + 30 = 0. What is the greatest common divisor of g and t?
5
Suppose 3*o + 201 = 48. Let t = -49 - o. What is the highest common divisor of t and 14?
2
Let f(v) = -v**2 - 7*v - 2. Suppose -d + h = -h + 5, 3 = -d + 4*h. Let r be f(d). Let y be 44 - (3 - (r - -5)). What is the highest common factor of y and 11?
11
Let l be 5080/170 - 2/(-17). Calculate the highest common factor of 18 and l.
6
Suppose -104 = 88*a - 96*a. What is the greatest common divisor of a and 169?
13
Suppose -8*d = -60 - 28. Let p(n) = -10*n + 10. Let g be p(9). Let v = -47 - g. What is the highest common divisor of d and v?
11
Suppose 38295 = -257*u + 294*u. What is the greatest common divisor of u and 45?
45
Suppose 0 = 5*s - 132 + 97. Calculate the greatest common divisor of s and 119.
7
Suppose 0 = 4*h - 8 - 0. Let g be (h/(-10))/((-1)/5). Let l be ((-1)/(-2))/(g/272). What is the greatest common factor of l and 17?
17
Let p = 39 - -7. Let a be (-1238)/(-18) - (-28)/126. Calculate the highest common divisor of a and p.
23
Suppose -2*f + 151 = 111. What is the greatest common divisor of f and 380?
20
Suppose -3*j + 5*j = 6, -3*j - 9 = -2*x. Let h = 206 + -143. Calculate the greatest common divisor of h and x.
9
Let h(k) = k**3 + 9*k**2 + 9*k + 10. Let f be h(-8). Suppose 4*u = f*u + 10. Suppose 0 = -2*x + 2 + 8. Calculate the greatest common factor of x and u.
5
Suppose 250*s = 245*s + 3200. What is the greatest common factor of 896 and s?
128
Let f = -735 - -736. Let b(w) = -4*w**3 - w**2 - 2*w - 1. Suppose -2*u + 3*u = 4, h = 3*u - 13. Let m be b(h). Calculate the highest common divisor of f and m.
1
Suppose -8*s = 613 - 1445. Suppose 0 = 4*r + f - s, 3*r - 5*r + f + 58 = 0. Calculate the highest common factor of 216 and r.
27
Suppose 4*s = -16, -11 = -d + 5*s + 13. What is the highest common factor of 32 and d?
4
Let i(n) = -6*n + 154. Let s be i(10). What is the greatest common divisor of 141 and s?
47
Suppose l - 36 = 14. Calculate the greatest common divisor of 10 and l.
10
Let v = 77 + 336. Let p = v + -221. What is the highest common factor of p and 24?
24
Let q be (2 - 6)/4*7. Let a be (-22 - -12)*q/2. Let s = 50 - a. Calculate the highest common factor of s and 15.
15
Suppose -17 = -7*r + 11. Suppose 30 = h - r*n + 7*n, h + n - 38 = 0. What is the greatest common divisor of 63 and h?
21
Suppose 0 = -n + 5, 2*r + 0*r = -4*n + 30. Suppose -r*q = 4*d - 156 + 53, -4*q + 82 = 3*d. Calculate the greatest common factor of q and 19.
19
Suppose -54*w + 68 - 14 = 0. Calculate the greatest common divisor of 139 and w.
1
Let t be (-14)/8*(-5 - -13). Let y be (-16)/t + (-4)/28. Let v be -80*(y - 14/10). Calculate the highest common divisor of 16 and v.
16
Let x(u) = -u. Let p(w) = 2*w - 16. Let d(a) = 2*p(a) - 18*x(a). Let s be d(5). Calculate the greatest common factor of 195 and s.
39
Let m = -52 - -18. Let s be ((-1)/1)/((-6 + 3)/108). Let p = s + m. What is the highest common factor of 5 and p?
1
Let x = -10 - -13. Let l be 2/((-1)