20452/60 - 6/(-45). Calculate the highest common factor of 31 and x.
31
Let m be 4/(-18) + 112*(-4)/(-72). What is the greatest common divisor of m and 54?
6
Let h be -18*(-5 - 7/(-3)). What is the greatest common factor of h and 408?
24
Let y(d) = 94*d - 832. Let q be y(9). What is the greatest common divisor of 119 and q?
7
Suppose -m - 8*c + 4*c + 28 = 0, 2*c = -m + 30. What is the greatest common factor of m and 160?
32
Let l = 39 + -32. Suppose -3*p + l - 1 = 0. Calculate the greatest common factor of p and 22.
2
Let j = 123 + -60. Let v = -18 + j. Calculate the highest common factor of 9 and v.
9
Suppose 2*o + 6 = 0, 5*o - 91 + 616 = 2*h. Let j = 366 - h. Calculate the greatest common factor of 74 and j.
37
Let q = -984 + 1006. Suppose 5*p - 135 = -2*d, -4*p - 260 = -5*d - p. Calculate the highest common factor of q and d.
11
Suppose 306 = -14*r + 2000. Calculate the greatest common divisor of 33 and r.
11
Let u(o) = o**2 - 7*o + 6. Let t be u(6). Suppose 0 = -t*a + 3*a + 5*z - 844, -2*z = 2*a - 568. Calculate the greatest common factor of 32 and a.
32
Let y(j) = 8*j - 192. Let m be y(45). Calculate the greatest common factor of m and 147.
21
Let n = 130 + -70. Suppose 3*u = n + 852. Calculate the greatest common divisor of 38 and u.
38
Suppose 0 = 4*k - 135 + 39. Let p be 32 - ((-3)/1 + 3). What is the highest common divisor of p and k?
8
Suppose -r = o - 60, 29*r - 2*o = 32*r - 176. Calculate the greatest common factor of r and 32.
8
Let s be 4*(1 + 34/8). Let b = -139 + 334. Let y = b - 48. Calculate the highest common factor of s and y.
21
Suppose -3*q + 4*q = 0, 4*x + 2*q = 16. Suppose -2*n + 33 = 2*n + 3*t, 6 = -n + x*t. What is the highest common divisor of 6 and n?
6
Suppose 4*w - 2*a + 163 = 9*w, 2*w = 2*a + 54. What is the greatest common divisor of w and 3007?
31
Let v(n) = 17*n - 57. Let a be v(5). Let h = 5 + 9. Suppose a*j + h = 29*j. Calculate the highest common factor of 14 and j.
14
Suppose y - f = 3*f + 618, 582 = y + 5*f. Calculate the highest common divisor of 14 and y.
14
Suppose 59 = 5*g - 6. Suppose f + g = 117. Suppose 0 = -4*t + k - 5*k + f, 0 = 3*t + 4*k - 78. What is the greatest common factor of 234 and t?
26
Suppose -f + 54 = -4*q, 0 = 3*q - q - 3*f + 32. Let t = -16 - q. Let z = 8 - t. What is the greatest common factor of 11 and z?
11
Let o(n) = -n**3 - 8*n**2 - 21*n - 84. Let m be o(-9). Calculate the highest common factor of m and 18.
6
Suppose 42*u = 58 + 110. Calculate the greatest common factor of u and 28.
4
Let g be (3/12*0)/2 + 30. What is the greatest common divisor of g and 20?
10
Suppose 20*n - 148 = -33*n + 1230. Let i(t) = 8*t + 2. Let x be i(3). Calculate the highest common divisor of x and n.
26
Let p(i) = -22 - 6*i - 4 + 16*i. Let r be p(8). What is the greatest common factor of 36 and r?
18
Suppose -37*q = -34*q + 4*t - 247, 3*q - 263 = 4*t. Calculate the greatest common divisor of q and 561.
17
Suppose -5*u + 118 + 242 = 0. Calculate the highest common divisor of u and 9.
9
Let q(h) = -4*h - 8. Let f be q(-7). Let z = -392 - -726. Let g = z - 234. Calculate the greatest common factor of g and f.
20
Suppose -6 + 21 = 5*k. Suppose 5*i = k*i - 298. Let a = 281 + i. What is the greatest common divisor of 12 and a?
12
Suppose 509*v - 507*v = 12. Calculate the highest common divisor of 642 and v.
6
Suppose -32 = -4*d - 2*s, d = 3*d - 3*s - 8. What is the highest common divisor of d and 301?
7
Let y be (-40)/(-4)*4/(-10). Let g be 152/4 + y - -3. Let z = -19 + g. Calculate the highest common factor of z and 27.
9
Suppose -3*v + 29 = l, v + 3*v - 28 = 4*l. Let k = 12 - v. Suppose 0 = 4*n - n - 9. What is the greatest common divisor of n and k?
3
Let z(u) = -u**3 - 6*u**2 - 4*u + 9. Let l be z(-5). Let d be 62 + l*(-4 + 5). Calculate the greatest common factor of d and 33.
33
Let g be (-1)/(-2)*-3 + 407/74. Calculate the greatest common divisor of g and 14.
2
Let u = -61 - -269. What is the greatest common factor of u and 26?
26
Let q = -175 + 323. What is the highest common divisor of q and 4?
4
Suppose 24*n - 21*n = 0. Suppose i - 26 = -n*i. What is the highest common factor of i and 26?
26
Let u(o) = -o**3 - 2*o**2 + o - 3. Let k be u(-3). Suppose 3*t + k*t - 1290 = 0. Calculate the highest common divisor of 86 and t.
43
Suppose -5*r = -4*h + 3*h - 30, -3*h - 39 = 2*r. Let z be 10/h*4*-12. What is the greatest common factor of 80 and z?
16
Let m be 4/18 + (-11200)/(-144). Calculate the highest common divisor of 6 and m.
6
Let v = -495 - -511. Let d(i) = -i**2 - 8*i + 4. Let b be d(-6). What is the highest common divisor of v and b?
16
Let s(f) = -f + 24. Let y be s(15). Let d = 5 - 1. Suppose -27 = -d*o - 3*q, -2*o + 0*o - 3*q + y = 0. Calculate the highest common divisor of 81 and o.
9
Let g be (-4)/36*3*-54. What is the greatest common factor of g and 45?
9
Let b = 50 + -53. Let d be (1*-33 - b)*8/(-12). Calculate the greatest common divisor of d and 30.
10
Suppose 2*u = -94 + 508. Let s(x) = -x**2 + 17*x - 37. Let f be s(15). Let h = 16 - f. Calculate the greatest common factor of u and h.
23
Let b be (-4)/6 + (-14)/(-3). Suppose b = 4*o - 3*o + 3*f, 8 = 2*o - f. Let x be 0 + (12/(-9))/(4/(-12)). Calculate the greatest common factor of x and o.
4
Let l be ((-45)/(-6))/(-5)*32240/(-186). What is the greatest common divisor of 80 and l?
20
Suppose 0*m + 34 = -2*m - 5*r, 0 = -3*m - 2*r - 29. Let f = 0 + m. Let k = 12 + f. Calculate the highest common factor of 5 and k.
5
Let m(g) = g**3 - 2*g**2 - 2*g + 8. Let w be m(5). Calculate the greatest common divisor of w and 584.
73
Let g(t) = t**2 - 17*t - 33. Let r be g(19). Suppose 2*o = 3*k + 38, 0 = 4*o - r*k - 97 + 23. What is the highest common factor of 32 and o?
16
Suppose 9*y - 2064 = 6477. Calculate the highest common divisor of y and 146.
73
Let a = 13 - 28. Let c be 96/3*a/(-12). Let v be -3*(-2)/12*c. What is the greatest common factor of 5 and v?
5
Let w(i) = -14*i - 2. Let a be w(-7). Suppose 25*q - 23*q - a = 0. What is the greatest common factor of q and 64?
16
Let c(k) = 2*k**2 - 74*k - 376. Let r be c(-5). What is the highest common divisor of 748 and r?
44
Let u(z) = -z - 3. Let x be u(-4). Suppose 239*r - 140*r - 693 = 0. What is the highest common divisor of x and r?
1
Let l = 250 + 1429. What is the greatest common divisor of 73 and l?
73
Suppose -5*g + 0*i + 242 = -i, -3*g - 3*i + 138 = 0. What is the highest common factor of 128 and g?
16
Let b be 18*(2/(-12))/((-7)/(-70)). Let u be -7*(-4)/(-42)*b. What is the highest common factor of u and 60?
20
Let c = 568 + -552. Calculate the greatest common divisor of 976 and c.
16
Let f = 8 + -5. Suppose -2*b + 7*m - 8*m = -10, 2*b - 30 = 4*m. Suppose 0 = -f*n + b*n - 12. What is the greatest common divisor of n and 3?
3
Suppose -2*y + 38 = 2*y - 2*x, -5*y - 3*x + 20 = 0. Suppose -y*b = -5*b - 26. What is the greatest common divisor of 117 and b?
13
Suppose 0*y - 22363 = -11*y. Calculate the highest common factor of y and 19.
19
Let i(s) = -s**2 - 109*s - 2500. Let m be i(-35). Suppose -5*v = -24 - 1. What is the greatest common factor of m and v?
5
Suppose -4*l = -3*z - 17, 4*l + 5*z = 5 + 52. Calculate the greatest common factor of l and 1280.
8
Suppose -37*z - 15 = -40*z. Suppose 2*n + 1 = -1, -z*a + 94 = -4*n. What is the greatest common factor of a and 6?
6
Let c(s) = s**3 - s**2 + 18*s. Let i be c(5). Let a = i + -86. What is the highest common factor of 8 and a?
8
Let v = 395 - 187. What is the highest common factor of 26 and v?
26
Let p = 8 - 13. Let k be (p/(10/3))/(12/(-104)). Calculate the highest common factor of k and 143.
13
Let u = 107 - 74. Suppose -34*q = -31*q - u. What is the highest common divisor of 176 and q?
11
Let k(j) = 3*j + 234. Let u be k(13). Calculate the highest common divisor of u and 117.
39
Let g(l) = l**2 - 12*l - 3. Let c be g(13). Suppose 5*q = -3*d + 8, 0 = 68*q - 67*q + 2. What is the highest common divisor of d and c?
2
Suppose 47 = n - o, -4*n = -8*n - 4*o + 156. What is the greatest common divisor of n and 559?
43
Let u(f) = -f**3 + 3*f**2 + 28*f + 96. Let z be u(0). What is the greatest common factor of 1776 and z?
48
Let z = -422 + 548. What is the greatest common factor of z and 72?
18
Let d(f) = f**3 - 5*f**2 - 15*f - 46. Let a be d(10)