. Let p be (1552/9)/(17464/39294). Calculate the highest common factor of b and p.
4
Let u be 7 - (-5)/((-25)/20). Suppose -5*t + 1523 = u*z + 25, -4*t + 1502 = 3*z. Calculate the highest common divisor of z and 46.
46
Let t = 6 + -7. Let k = t + 3. Suppose 4*n + 13 = -3*c + 73, n + c - 14 = 0. Calculate the greatest common factor of k and n.
2
Suppose -2*p - 10*h = -802, p - 3*h - 407 = -22. Calculate the highest common divisor of 207 and p.
23
Let x(h) = 15*h**2 - 270*h + 28. Let l be x(18). What is the greatest common divisor of 791 and l?
7
Let n = 7656 - 7605. What is the greatest common divisor of n and 3621?
51
Let w(p) = -2*p + 20. Let v = -45 + 35. Let z be w(v). Let g be ((-1)/(-3))/((261/(-540))/(-29)). Calculate the highest common divisor of z and g.
20
Let r be ((-1)/3)/(2*2/(-132)). Suppose -r*k - 322 = -34*k. Calculate the highest common factor of 35 and k.
7
Let f be ((-84)/12 - -89) + -2. Calculate the greatest common divisor of f and 195.
5
Let m be (-2)/(-6) + (-484)/(-6). Suppose -4*a = 8*l - 3*l - 408, 12 = 3*l. Let y = a - m. What is the highest common divisor of y and 16?
16
Let d(h) be the first derivative of -2*h - 1/4*h**4 - h**3 - 25 - 7/2*h**2. Let p be d(-4). Calculate the highest common factor of 14 and p.
14
Let m(z) be the second derivative of -z**5/20 + 3*z**4/4 - 7*z**3/6 - 2*z + 26. Let f be m(7). Calculate the highest common divisor of f and 21.
7
Suppose 0*u = -m + 3*u + 113, 2*u = m - 116. Suppose -5*g = r, 158 = 8*g - 4*g - 15*r. Calculate the highest common factor of m and g.
2
Let v = -20342 - -21661. What is the greatest common divisor of v and 3?
1
Suppose -3*t - 2*l + 63 = -l, 3*t - 66 = -2*l. Let n = 488 - 378. Calculate the highest common factor of t and n.
10
Let l = -328 - -440. Let m(q) = 3*q**2 - 5*q - 4. Let h be m(-3). Suppose -4*k + 4*i = -i - h, -3*k = 2*i - 17. Calculate the highest common divisor of l and k.
7
Suppose 2*x = l + l + 14, x - 11 = 3*l. Let m be (9 + 4/l)*(0 + 3). Let f = -2 - -5. Calculate the highest common divisor of f and m.
3
Suppose 3*t - 2*s = 4*t - 102, 2*t - 5*s = 177. Let o = -1752 + 1724. Let z be (-747)/(-63) + (-4)/o. Calculate the greatest common divisor of t and z.
12
Let u(z) = z**2 - 97*z - 1057. Let f be u(-10). What is the greatest common divisor of 208 and f?
13
Suppose 0 = -758*n + 754*n + 3*m + 7252, -5410 = -3*n - 5*m. Calculate the highest common factor of 20 and n.
10
Suppose 120 = -23*t + 51. Suppose -2695 = 5*f + 5*r, -3*r = -f + 3*f + 1082. Let i be 2/t - f/15. What is the highest common divisor of i and 245?
35
Let u(k) = -2*k - 27. Let r be u(-17). Suppose 3*a + 4*d + 36 = 277, -72 = -a - 3*d. Suppose -a = 4*f - 395. Calculate the greatest common factor of f and r.
7
Suppose -129325 = -207*i + 182*i. What is the highest common factor of i and 7?
7
Suppose 5*m - 2*z + 0*z = 200, -3*m + 131 = z. Calculate the highest common divisor of 234 and m.
6
Suppose 239*d = 237*d - 4*u + 17892, d = 5*u + 8946. What is the highest common divisor of 252 and d?
126
Suppose -498 = 2*p + 4*p. Let c = -82 - p. Let h(v) = 9*v + 1. Let n be h(c). Calculate the greatest common factor of 40 and n.
10
Let n(v) = 34*v**2 + 59*v - 127. Let d be n(-5). Calculate the greatest common divisor of 2782 and d.
214
Suppose -4*x + 21 = -3*x. Let k(p) = -p**2 + 23*p - 24. Let n be k(x). What is the greatest common factor of 18 and n?
18
Let l be (-4)/(-3) - (-1 - 358)*236/177. Calculate the greatest common factor of 1560 and l.
120
Let v(r) = -r**3 + 9*r**2 + 9*r - 16. Let u be v(9). Suppose -4*j + 5*j = 2*d + 28, -2*j + u = 5*d. What is the greatest common divisor of 135 and j?
15
Let f = 50 + -1. Suppose -5*r + 245 = -3*x + 6*x, r = -2*x + f. Calculate the highest common divisor of 1 and r.
1
Let g(a) be the second derivative of 1/2*a**3 + 0 - 39/2*a**2 + 11*a. Let l be g(17). What is the greatest common divisor of 60 and l?
12
Suppose 0 = 2*b - 3*m - 93, -5*b + 207 = -0*b + m. Suppose 0 = b*p - 35*p - 3948. What is the greatest common factor of 36 and p?
12
Let m be (168/(-20))/((-2)/5). Let l be (-2)/3 + 780/36. Calculate the greatest common factor of l and m.
21
Let o(w) = 106*w**2 - 5*w + 4. Let g(x) = x**3 + 11*x**2 + 30*x + 15. Let c be g(-7). Let j be o(c). Calculate the greatest common divisor of j and 75.
15
Let t = 42 + -36. Let p(x) = 14*x**2 + 17*x + 6. Let s be p(-4). Calculate the highest common divisor of t and s.
6
Let a = -214 + 352. Suppose -1059495 = -3296*m + 225*m. What is the highest common divisor of a and m?
69
Suppose -2*l + 232 = 2*l. Let z(s) = 3*s - 1. Suppose -61 - 9 = -7*n. Let x be z(n). What is the highest common divisor of l and x?
29
Let n be (6075/(-729))/(5/(-18)). What is the greatest common factor of n and 3470?
10
Suppose -15*u - 295 = -16*u. Suppose -2*c - 20 = -6*c. Calculate the greatest common divisor of u and c.
5
Suppose -20 = 5*h, -139 + 7 = 4*b + 3*h. Let f = -71 - b. Let y = 42 + f. What is the highest common factor of 5 and y?
1
Suppose 229*i = 231*i - 132. Suppose -5*q + i = -4*k, -q + 30 = 4*q + 5*k. Calculate the highest common divisor of 810 and q.
10
Suppose 2*r = -4*h + 11256, 3*h = -r - 272 + 8712. What is the greatest common divisor of h and 444?
148
Suppose 4*l + 21 = 11*l. Suppose 41 = l*q - 64. Calculate the greatest common factor of q and 5.
5
Let h be (-25)/(-6) + 1 + 5/(-30). Suppose -16 = -y - h*u, 82 = 3*y - 2*u - 0*u. Calculate the greatest common factor of 26 and y.
26
Let c = -220 + 413. Let q = 28 + c. Calculate the highest common divisor of 17 and q.
17
Suppose 0 = -17*f + 4312 - 4108. What is the highest common divisor of f and 112?
4
Let z(i) = 26*i**2 + 90*i + 7. Let a be z(-5). Calculate the greatest common divisor of 93 and a.
3
Suppose 6*l - 82*n - 152 = -87*n, -3*l + 4*n = -50. Let y(u) = 18*u**2 + 11*u + 12. Let r be y(-6). What is the highest common factor of r and l?
22
Let u = 74 - 71. Suppose d = -z - 0*z + 35, u*z = 3*d + 111. Calculate the greatest common divisor of z and 48.
12
Suppose 6783 = 71*c - 20*c. What is the highest common factor of 21 and c?
7
Let f = -17 - -31. Let a(i) = i**2 + 163*i + 6419. Let o be a(-65). Calculate the highest common divisor of f and o.
7
Let x(f) be the second derivative of 0 - 3/2*f**2 - f - 7/6*f**3. Let a be x(-3). What is the highest common divisor of 18 and a?
18
Suppose -2052 = -6*d - 5*d + 544. Calculate the highest common divisor of d and 20.
4
Let o be (-10696)/(4 - 11) + -8 + 9. Calculate the highest common divisor of 11 and o.
11
Let o = -17232 - -17498. Calculate the greatest common divisor of o and 45486.
266
Suppose 5*b - 3*t - 68 = 4, -19 = -b - 4*t. Let v(l) = l**2 - 10*l + 9. Let c be v(b). What is the highest common factor of c and 42?
42
Suppose 1437*z = 1448*z - 198. Let l = -67 + 103. Calculate the greatest common divisor of z and l.
18
Suppose 0 = 219*t - 134629 + 29290. What is the greatest common factor of 650 and t?
13
Let a be 10/4*5270 - (11 + 20/(-4)). What is the highest common factor of 13 and a?
13
Suppose -25*b + 26972 = 9472. Let z = -547 + b. Calculate the highest common divisor of 68 and z.
17
Suppose 63*u + 140 = 4*k + 64*u, -5*k - 5*u + 160 = 0. What is the highest common divisor of 2100 and k?
12
Suppose 10*u = 5*u + 60. Suppose 11*p + u = 14*p. Suppose 0 = -p*h - 3*h + 147. What is the highest common factor of 14 and h?
7
Suppose 14*w - 5*w = 0. Suppose w = 31*m - 29*m - 160. Let o = m + -15. Calculate the highest common divisor of o and 5.
5
Suppose -23*c + 55 = -12*c. Suppose -n + 222 = c*n. Calculate the greatest common divisor of 74 and n.
37
Let q(f) = -2*f**3 - 25*f**2 + 10*f + 29. Let j be q(-14). Suppose 44 = -4*v - a + 465, v - 2*a - 112 = 0. Calculate the highest common divisor of j and v.
53
Let s(t) = t**2 + 3*t + 11. Let d be s(-6). What is the greatest common factor of d and 1073?
29
Let q = 241 - 198. Let m = 4 + q. Calculate the greatest common factor of 47 and m.
47
Suppose -5*k - 107 = 118. Let n = 65 + k. Suppose -1601 - 5299 = -536*q + 191*q. What is the greatest common divisor of n and q?
20
Let l be (-24)/10*60/12*-1. Let g be (-10)/((-8)/l - 0). What is the greatest common divisor of 555 and g?
15
Let y = 6420 - 6186. Calculate the highest common divisor of 336 and y.
6
Let t be (10/6)/(-5) + (-55)