5327. Calculate the highest common divisor of f and a.
8
Suppose -2258 = 4*s - 2*m - 70, -s = 2*m + 542. Let j = 636 + s. Calculate the highest common factor of 120 and j.
30
Let z(j) = 10*j**3 - 2*j**2 - 4*j + 6. Let s be z(1). Suppose -606 = s*k - 1566. Calculate the greatest common factor of k and 36.
12
Let b = 124 - 88. Suppose -826*c + 823*c + 756 = 0. Calculate the greatest common divisor of c and b.
36
Suppose -7*k - 4*j + 78282 = 0, -8 = -4*j - 28. Calculate the highest common divisor of k and 714.
238
Let o be 17 - -1 - (-8 - (-19 + 8)). Let z be -5*85/(-125) + (-6)/o. Calculate the highest common factor of z and 177.
3
Suppose 4292*j - 48622 = 4278*j. What is the greatest common divisor of j and 115?
23
Let z(i) = -i**3 + i**2 + 4*i - 1. Let r be z(2). Suppose -v = m - 42, -v - r*v = 5*m - 208. Calculate the highest common divisor of m and 290.
10
Let d(m) = -m**2 + 11*m - 28. Let t be d(5). Suppose t*p - 99 = -23. Let c(v) = 342*v. Let n be c(1). Calculate the greatest common factor of n and p.
38
Suppose b + 8 = 0, 4906 + 19700 = 2*y + 3*b. Calculate the greatest common divisor of y and 6.
3
Let d = -4877 + 14171. Let v be 1/(-6) + d/36. Calculate the highest common factor of v and 6.
6
Let w be 8*1*(7 - 6). Suppose -z - 6*q = -3*q - w, 0 = -4*z - 5*q + 25. Calculate the highest common divisor of 10 and z.
5
Let z(b) = -104*b + 5. Let k be z(-5). Let j(g) = -g**2 + 789*g + 10468. Let i be j(-13). Calculate the highest common divisor of k and i.
21
Let z be (1 - 12)/(1/((-4 - -99)/(-5))). What is the highest common divisor of 55 and z?
11
Let l(m) = -125*m - 5. Let o be l(-2). Suppose -o = -2*w - 3*w. Suppose -5*v - 3*k + 9 = -46, 3*v - 32 = -2*k. What is the highest common factor of v and w?
7
Let x(g) be the first derivative of -2*g**3/3 - 51*g**2/2 - 18*g - 89. Let n be x(-21). What is the highest common divisor of 9 and n?
9
Let t(v) = -v**3 - 12*v**2 - 24*v - 31. Let u be t(-10). Let b be 37/2 + (-52)/8 + u. Calculate the greatest common divisor of 147 and b.
21
Let o(h) = -3*h**3 - 3*h**2 - 4*h - 1. Let a be o(-3). Suppose 18240 = 95*s - 6460. What is the highest common divisor of s and a?
65
Let v be (1/(-1))/((-533)/65 + 8). Let b be 4/(-1)*1410/(-24). Calculate the greatest common factor of b and v.
5
Suppose 78 = -2*h + 2*y, -y - 31 = 3*h + 70. Let w be (18/10)/(-1 - 42/h). Let g be ((-1)/w - 651/(-27))/1. Calculate the highest common factor of 8 and g.
8
Let x be (-3 + -12)*(-5 + -11). Let r(z) = z**3 - 32*z**2 - 66*z + 7. Let w be r(34). What is the highest common factor of w and x?
15
Let k(z) = -13*z - 16. Let f be k(-10). Let a be (f/(-4))/(3/(-4)). What is the highest common divisor of a and 418?
38
Suppose -4*p - 15 + 19 = 0, 5*c - 142 = -2*p. Calculate the highest common factor of 44 and c.
4
Let x be 3/8 + 1/(-8) + 53222/104. What is the highest common divisor of 24 and x?
8
Suppose -2*v = 4*b - 128, 4*v - 3*b - 185 - 115 = 0. Let j = -5246 - -5264. Calculate the highest common divisor of j and v.
18
Let h = 305 - 301. Let g(v) be the second derivative of v**5/20 - v**4/3 + v**3/2 - 4*v**2 - v. Let o be g(h). Calculate the highest common divisor of 32 and o.
4
Let o(n) = 2*n**2 - 17*n - 2. Let y be o(6). Let t be -6 - (y + -8 + 9). Calculate the greatest common divisor of 475 and t.
25
Let u = 31 - 19. Suppose -3*p = u, 3 - 19 = -4*i + p. Let t be i/(-6) - (-257)/2. Calculate the greatest common factor of 16 and t.
16
Let v be (0/(-4))/2 - -32. Let q = v - 34. Let p be (-164)/(-16) + q/8. Calculate the highest common factor of 5 and p.
5
Suppose 12*k - 10698 - 12570 = -8508. What is the greatest common divisor of k and 70?
10
Let a be (-16 + 18)/(4/38). Suppose 16456 = a*z + 3*z. What is the highest common divisor of z and 44?
44
Let q(d) = 413*d**2. Let z be q(-1). Let s(l) = 10*l**2 - 160*l + 508. Let n be s(3). What is the greatest common divisor of z and n?
59
Let x(n) = 7712*n**3 - 3*n**2 - 14*n + 16. Let o be x(1). Calculate the greatest common divisor of 11 and o.
11
Suppose 15*r + 34 = 16*r. Let t(s) = 2*s**3 - 15*s - 2. Let l be t(6). Calculate the greatest common factor of r and l.
34
Suppose -u + 4752 = 42*u - 19*u. Calculate the greatest common factor of 154 and u.
22
Suppose f - 3*g = 5*f + 21, -4*f + g = 41. Let s be (-2 - -13)/(1/(-9)*f). What is the greatest common factor of s and 88?
11
Let x(w) = 182*w**2 + 336*w + 334. Let o be x(-1). What is the highest common factor of 1920 and o?
60
Let d be (-9)/((-9)/(-54)*3/(-5)). Let x = -87 + d. Suppose -20 = x*g - 23. Calculate the highest common factor of 3 and g.
1
Suppose -14*y + 1078 + 504 = 0. Let r = -215 - -424. Let l = r - y. What is the highest common factor of l and 12?
12
Suppose -4*l + 2606 + 4183 = 289. What is the greatest common divisor of l and 52?
13
Let r(t) = -5*t**2 + 18*t - 9. Let z be r(13). Let j = -339 - z. Suppose 6*w - 97 = j. Calculate the highest common divisor of 7 and w.
7
Let y = -927 + 1799. Let d = -528 + y. Calculate the greatest common divisor of 129 and d.
43
Let z be 196 + -3 + -4 - (-7)/(7/3). What is the highest common divisor of z and 600?
24
Suppose 58*c - 55*c - 2142 = 0. Let t = -11 + 25. What is the highest common divisor of t and c?
14
Let i = -2714 + 2730. What is the highest common factor of 366 and i?
2
Let i(a) = -102*a - 4605. Let z be i(-50). What is the highest common factor of z and 715?
55
Suppose 7*q - 21 = 7. Suppose -3*u = 3, 3*p - 3*u + q*u + 1 = 0. Suppose l = o + 23 + 167, p = 4*l + 3*o - 725. What is the highest common divisor of l and 74?
37
Let p(n) = -n**3 + 21*n**2 + 4*n - 32. Let b be p(21). Suppose -4*u + 103 = -105. What is the highest common factor of b and u?
52
Suppose -v + 91 = 2*u, -4*u + 5*u = 4*v - 337. Let g = v + -69. Let f be (-132)/55*160/(-3). Calculate the highest common divisor of f and g.
16
Let g be (0 + 2)*-3*(-13)/(104/92). Let v = 319 - 227. Calculate the highest common factor of g and v.
23
Suppose -10*r + 2*b = -5*r - 772, -b + 628 = 4*r. What is the highest common divisor of r and 12324?
156
Let d be 4*((-121)/22)/(-11). Let s = 1 + 2. Suppose -4*h + 2*h = 4, -s*h - 10 = -2*v. What is the highest common factor of d and v?
2
Let c(l) be the second derivative of -3*l**3/2 + 21*l**2/2 - 3*l. Suppose 0 = 3*a - 5 + 26. Let t be c(a). What is the greatest common factor of 24 and t?
12
Let d(l) = -5*l**3 + 4*l**2 + 12*l + 20. Let a be d(-2). What is the highest common divisor of a and 806?
26
Suppose -88 = p - 256. Let z be -21*90/81*(-9)/15. Calculate the highest common factor of z and p.
14
Suppose -6*p + 80 + 94 = 0. Let a(r) = r**2 + 21*r - 41. Let h be a(-23). Let w be (-176)/(-3) - (h + (-52)/12). What is the greatest common divisor of w and p?
29
Let w = 3657 - 3144. What is the greatest common divisor of w and 540?
27
Let p = 31 + -25. Let x = p - -32. Suppose -15*c + 3*c + 684 = 0. What is the greatest common factor of x and c?
19
Let a = 755571 - 755568. Suppose 3*w - 3*c = 524 + 7, 0 = 3*c. What is the highest common factor of w and a?
3
Let d(r) = -1307*r + 2896. Let c be d(2). Calculate the highest common factor of c and 42.
6
Let t = 23 + -23. Let c be (t - -1)*((-4)/4 + 40). Calculate the highest common divisor of c and 52.
13
Let g(x) = 9*x + 6. Suppose -3*b = -5*q - 8*b + 95, 2*q - 41 = -3*b. Let s be g(q). Calculate the highest common divisor of 24 and s.
6
Suppose 10*b - 14*b + 3*p + 66250 = 0, 3*b + 3*p - 49656 = 0. What is the highest common divisor of b and 34?
34
Suppose 21*j + 5*p = 19*j + 2151, 5*j - 5387 = -3*p. Calculate the highest common divisor of 88 and j.
22
Suppose -2*t = 5*c - 14, -3*t - 20 = -2*c - 22. Suppose -2*y = 2*n - 282, t*y + 5*n - 296 = 10*n. Calculate the greatest common divisor of y and 26.
13
Suppose 220 = 8*y + 7*y + 5*y. What is the greatest common divisor of 4169 and y?
11
Let n(g) = 2*g**2 - g + 1. Let d(b) = 7*b**2 - 6*b - 44. Let k(i) = -d(i) + 4*n(i). Let w be k(-8). What is the highest common divisor of 112 and w?
16
Suppose -52*i - 4*c + 368 = -50*i, -5*i = -5*c - 905. Calculate the greatest common divisor of 77 and i.
7
Let x = -33187 - -33265. What is the highest common divisor of x and 16068?
78
Suppose 0 = 2*i - 5*i - 5*g + 26, -5 = -i + 2*g. Suppose 7 + i = 2*r. Let m be 438/r + (225/35 - 6). Calculate the