- 16. Let h(w) = 7*a(w) - 5*p(w). Let d be h(-5). What is the highest common divisor of d and 36?
12
Let o(i) = 14*i + 5. Let h be o(-1). Let d(v) = -17*v + 9. Let a be d(h). Calculate the highest common factor of 6 and a.
6
Suppose 11943 = 25*z + 13*z + 2709. Calculate the highest common factor of 108 and z.
27
Suppose -9*m - 588 = -38*m - 153. Let s = 1060 + -580. What is the highest common factor of s and m?
15
Suppose -2*n + 45 = 5*r + 3*n, 2*r = -3*n + 18. Suppose -r*m + 13*m - 112 = -5*a, -2*a + 38 = 5*m. What is the highest common divisor of a and 8?
8
Let c(n) = -157*n**3 + 4*n**2 + 8*n + 1. Let s be c(-1). What is the highest common divisor of 70 and s?
14
Let n be (2/(-3))/(22/(-495)). Suppose -3*d = 3*a - n, a + 3*a + 2*d = 14. Suppose -39 = -a*k + 21. Calculate the greatest common factor of k and 6.
6
Suppose -2*f - 3*g = -1256, 2520 = 24*f - 20*f + 5*g. Calculate the greatest common factor of 6240 and f.
160
Suppose 2*y = s + 18, 4*y + 0*s = -5*s + 22. Suppose -g - 32 = -y*t + 7*t, -5*g = 0. What is the greatest common divisor of 160 and t?
32
Suppose 0*w = 2*i + 5*w - 20, 0 = 5*w - 10. Let r(k) = 2*k**3 - 11*k**2 + 12*k - 7. Let g be r(i). Calculate the highest common factor of g and 308.
28
Let u(s) = -3*s - 6. Let k be u(-4). Suppose -29*r = -21*r - 1288. Let p be (r/3 - (-6)/(-9)) + 1. What is the greatest common divisor of p and k?
6
Let m be (-4)/(-3) + -1 + 41736/423. Suppose 0 = -5*z + 11*z - 2574. Calculate the greatest common factor of z and m.
33
Suppose -2*l + 3*s + 188 = s, l = -3*s + 110. Let q be ((-105)/(-2))/5*(12 + -10). Let c = l + q. What is the greatest common factor of c and 17?
17
Suppose 0 = 3*s, -4*u + 5*u - s = 1. Let w be (0 - u)*-90*1. Suppose 5*b - w = 3*b. What is the highest common factor of 5 and b?
5
Let a = -5 - -25. Suppose -a = -6*y + y. Let w = 8483 - 8467. What is the highest common divisor of w and y?
4
Let w = -220 - -274. Let y = 87 - w. What is the greatest common factor of y and 12?
3
Let j(m) = 19*m - 36. Let g be j(2). Suppose -3*o - a + 18 = 0, g = -o - a + 8. Calculate the greatest common divisor of 39 and o.
3
Let a = 5323 + -5287. Let f(j) = 91*j**2 - 4. Let l be f(2). Suppose -3*n - n = -l. What is the highest common divisor of a and n?
18
Let x = -200 + 385. Suppose 3*r - 123 = -3*i, 0 = 4*r - i - 2*i - x. What is the highest common divisor of 11 and r?
11
Let b(a) = 127*a**2 + 130*a + 633. Let o be b(-7). What is the highest common divisor of o and 24?
6
Let a = 9110 - 9083. Calculate the highest common factor of a and 132.
3
Let b = -3539 + 5724. What is the highest common factor of b and 805?
115
Suppose 42*v - 47*v - 5*o + 22485 = 0, 0 = 4*v + 10*o - 18036. What is the highest common divisor of v and 67?
67
Let w(l) be the second derivative of 13*l**3/6 - 59*l**2/2 - 105*l. Let z be w(9). What is the highest common factor of 87 and z?
29
Let l(n) = 7*n**2 + 24*n + 158. Let z be l(-7). Calculate the highest common factor of 144 and z.
9
Suppose 2*g = -g + 2*s + 32, -30 = -2*g - 3*s. Suppose -204*w = -212*w + 10200. Let u = w - 1271. What is the greatest common factor of g and u?
4
Suppose 5*q - 24 = -f + 11, q + 2 = -2*f. Calculate the highest common divisor of q and 236.
4
Suppose 0 = f + 5*f + 720. Let s = -119 - f. What is the greatest common divisor of s and 1?
1
Let u = 28 - 32. Let v be u + 44/(-3)*(-14 - -8). What is the greatest common factor of v and 24?
12
Suppose -40885*s - 1440 = -40886*s. Calculate the highest common divisor of s and 2790.
90
Let n = 107 + -72. Suppose -n*t + 12 = -38*t. Let h be 168/16*t/(-7)*12. Calculate the highest common factor of 9 and h.
9
Let o = -150 - -884. Let n = o - 391. Calculate the highest common divisor of 7 and n.
7
Let i(f) = 18*f - 34. Let v be i(17). Let d(n) = -3 - 2 - 10*n - 1 + 14*n**2 + 1 - n**3. Let o be d(13). What is the greatest common divisor of o and v?
34
Suppose 81*r - 2744 + 131 = 14*r. What is the highest common factor of 2574 and r?
39
Let w(v) = -39*v + 1594. Let a be w(38). Calculate the greatest common divisor of a and 504.
56
Let y(j) = -j**3 + 16*j**2 + 2*j - 24. Let u be y(16). Suppose 0 = -u*m + 2*m + 48. What is the highest common factor of m and 56?
8
Let h = 88 - 86. Suppose -h*v = -a + 1 - 9, -3*a - 12 = 0. Suppose 187 + 133 = v*s. What is the greatest common factor of s and 8?
8
Suppose 33*b - 3*u = 29*b + 326, 3*b - 2*u - 246 = 0. What is the highest common divisor of b and 5461?
43
Let m = 545 - 540. Suppose m*y + 447 = -2*l + 1121, 4*y - 541 = -l. Calculate the highest common factor of y and 34.
34
Let m(y) = 101*y**2 + y. Let b be m(-2). Let x be 0 + 32 - (427 + -401). What is the highest common factor of x and b?
6
Let o(y) = -151*y + 29. Let m be o(-3). Suppose 12*s = 7*s + 5, 2*s + m = 4*f. What is the greatest common factor of f and 11?
11
Let a = -39 - -64. Suppose -21*m = -a*m + 24. Suppose -3*x + 3 = o, 3*o - 3*x - 3 = m. What is the greatest common factor of 3 and o?
3
Suppose 5630 + 11408 = 2*a - 4*o, -5*o + 16975 = 2*a. What is the highest common divisor of 70 and a?
35
Suppose 46 + 11 = n. Let j(c) = -24*c**2 + 164*c + 142. Let z be j(7). Calculate the highest common factor of z and n.
57
Suppose 0 = k - 4 - 13. Suppose -89*v + 27 = -80*v. Suppose 0 = -d - 5*n + 32, 6 = 5*n - v*n. What is the greatest common factor of d and k?
17
Let i = 10368 + -10363. Calculate the greatest common factor of i and 25.
5
Suppose 306*o - 283*o - 9177 = 0. Calculate the highest common divisor of 966 and o.
21
Suppose 368 = 4*u - 25*l + 27*l, -3*u + 2*l + 276 = 0. What is the greatest common factor of 161 and u?
23
Let g be 44/(-132) + 1*(-506)/(-6). Let h be 2/(-9) - (-3 - 11032/72). What is the highest common divisor of g and h?
12
Suppose 26*s = 124 + 500. Suppose k - 33 = -5*v, -2*v + 3 + 3 = 0. Calculate the highest common divisor of s and k.
6
Let h(k) = -k**3 + 8*k**2 + 13*k - 31. Let o be h(9). Suppose 3*p = 4*m - 92, -3*m + m + 32 = -o*p. What is the greatest common factor of m and 247?
13
Suppose 116*o - 1441 - 2735 = 0. Let s(q) = 0 - 1 + 8*q**2 - 5*q + 7*q. Let f be s(1). Calculate the greatest common factor of o and f.
9
Suppose 4*j - 34208 = -4*k, 7*j - 3*k = 11*j - 34205. What is the greatest common factor of j and 206?
103
Let t = -366 - -3105. Calculate the highest common factor of t and 1245.
249
Suppose c + 63 = 2*c. Let s = -54 - -57. Suppose -9*y = s*y - 84. Calculate the greatest common factor of c and y.
7
Let i(l) = 10*l - 8. Let f be i(4). Suppose -27 - 117 = -6*d. Calculate the greatest common factor of f and d.
8
Let w(x) = 139*x**3 - 9*x**2 + 17*x - 228. Let u be w(8). Calculate the highest common factor of 15 and u.
15
Suppose -3*x - 3 = -6*x. Let y be (x/(-3))/((-13)/624). Let z = 14 + 66. What is the greatest common factor of y and z?
16
Let j(p) = p**3 - 23*p**2 + 64*p - 377. Let b be j(27). What is the greatest common divisor of 17 and b?
17
Let z be ((-4)/10*170/16)/((-9)/4644). What is the highest common divisor of z and 255?
51
Suppose -201 = -4*y - n, -60*n + 62*n = -14. What is the highest common divisor of y and 1911?
13
Suppose 60*p - 81*p + 5 = -121. Suppose 9*z = 4*z - 5*j + 685, 4*j + 556 = 4*z. What is the highest common factor of p and z?
6
Suppose 0 = 3*l + 6, 9 = 3*d - 2*l - 184. Let n = 22 + -19. Suppose -18 = n*k - 5*k. What is the highest common divisor of k and d?
9
Let m = 491 - 227. What is the highest common divisor of 363 and m?
33
Suppose 431514 = 5*q + 45*q + 4*q. Calculate the greatest common divisor of q and 244.
61
Let s(f) = -f**3 - 6*f**2 + 28*f + 458. Let d be s(-14). What is the highest common divisor of 152 and d?
38
Suppose 8 - 128 = -20*p. Suppose p*i = 143 + 121. What is the greatest common factor of i and 77?
11
Suppose -24 = -4*t - 0. Let f(o) = o**3 - 7*o**2 + 3*o + 14. Let k be f(t). Let r be 3 - -6*(12/(-9))/k. Calculate the highest common factor of r and 25.
5
Suppose -5*g + 58 = 3*w, -16*g - 70 = -5*w - 21*g. Calculate the highest common factor of 1227 and w.
3
Let v(m) = -11*m - 84. Let i be v(-8). Suppose 2*w - 2*u - u = 81, 167 = i*w - u. Calculate the greatest common factor of 21 and w.
21
Let f(s) = -7*s**3 + 36*s**2 + 160*s - 12. Let q be f(-4). Calculate the greatest common factor of 1333 and q.
31
Suppose -48 = -3*k - 3