4*v = -r + 4, 3*r + 0*r = 3*v + 27. What is the greatest common factor of a and r?
8
Suppose 3*r + 3 = -g, -77*g = -75*g - 3*r - 30. Let j be 1/((-56)/(-54) + -1). What is the greatest common divisor of g and j?
9
Let c be ((-34)/(-3))/(6/9). Let b be 4/(-6) + 2/(-6). Let l be (b - -158) + -4 - 0. Calculate the greatest common factor of l and c.
17
Suppose -4*v = 4*m - 424, -4*m - 2 + 6 = 0. What is the highest common divisor of v and 756?
21
Let m(y) = 6*y + 998. Let b be m(-45). Calculate the highest common factor of 1872 and b.
104
Suppose 58 = 4*w + 2*m, -5*m + 14 = 5*w - 61. Suppose 44*k + 207 = -2*k + 2783. Calculate the greatest common divisor of w and k.
14
Suppose -3*p = 19*p - 110. Suppose -198 = -p*h + 12. Suppose 3*y = 4*r - 243, -6*y + 3*y = -2*r + 117. Calculate the greatest common factor of r and h.
21
Suppose 143*q - 128*q - 1440 = 0. Suppose 84*i - 81*i = q. Suppose -w + 3*l = -23, -2*w = l + 2 - 13. Calculate the greatest common factor of i and w.
8
Suppose -2*u - 2*p = -520, -2*u + 0*u = -2*p - 516. Let f = 287 - u. Calculate the highest common divisor of 644 and f.
28
Let p(w) = w**2 - 16*w - 110. Let l be p(14). Let b = l - -149. Calculate the greatest common factor of b and 1.
1
Suppose 0 = 4*o + 110*u - 112*u - 4744, 4*o - 3*u = 4746. Calculate the greatest common factor of o and 135.
15
Suppose -2*l = -o - 327 - 219, 5*o - 793 = -3*l. Suppose 0 = -5*g + 2*k - 0*k + l, 5*k = 10. What is the highest common divisor of 22 and g?
11
Let k(v) = -v**2 + 15*v - 2. Let h be k(14). Suppose -3*u + h*u = -117. Let b be (u + 3)*8/(-10). What is the greatest common factor of 24 and b?
8
Let g be 87 - (-8)/((-552)/(-161))*9. Suppose -868 = -4*z - 148. Calculate the highest common divisor of z and g.
36
Let q(x) = -826*x - 18. Let s(j) = -824*j - 17. Let y(n) = 3*q(n) - 2*s(n). Let w be y(-1). Calculate the greatest common divisor of 30 and w.
30
Let v(a) = -5*a - 30. Let u be v(6). Let d = u - -150. Suppose -5*b = 5*s - d, -8 = -2*s - 2. What is the highest common factor of 45 and b?
15
Let k = 52 + -189. Let c = 151 + k. What is the highest common divisor of c and 140?
14
Let s be 96/(-5)*(-16900)/507. Calculate the greatest common factor of 90 and s.
10
Suppose 9396 = 4*x + 3*n, 2*x - 4*x + 4680 = -3*n. Calculate the highest common divisor of x and 34.
34
Suppose -45*b - 4*z + 57 = -40*b, -6 = -2*b - 4*z. What is the greatest common divisor of 36 and b?
1
Let d be -5 - ((-3202)/8 + (-6)/(-24)). What is the highest common divisor of d and 1264?
79
Let x(t) = -354*t + 2742. Let g be x(7). What is the greatest common divisor of 1650 and g?
66
Let q(f) be the second derivative of -f**4/12 + 4*f**3 + 169*f**2/2 - 192*f. Let v be q(26). Let i = -62 + 88. What is the greatest common factor of v and i?
13
Let y be 0/(6*4/(-24)*2). Suppose -4*m + 0*z = 4*z - 176, y = 3*m - z - 120. Calculate the greatest common divisor of 41 and m.
41
Let r(s) = -2*s**3 + s**2 - 321. Let k be r(0). Let n = k - -599. Let o = n + -128. Calculate the highest common divisor of 15 and o.
15
Suppose 2180*h + 5916 = 2214*h. Calculate the highest common factor of h and 15.
3
Let y = -23 - -58. Suppose -3*a + y = c + 2*a, -2*c = -2*a - 10. Suppose -3*t + 19 + 26 = 0. Calculate the greatest common divisor of c and t.
5
Let d be (-10)/2*21/((-945)/36). Suppose 0 = 5*t + 5*p - 215, 0*t = d*t + 3*p - 167. What is the greatest common factor of t and 494?
38
Let f = 31611 + -25904. Calculate the highest common factor of 169 and f.
13
Suppose -9 - 6 = -5*u. Suppose -4*y + 5 = -u. Suppose 728 = 5*h + 2*q, 5*h + q + y*q = 732. Calculate the highest common factor of h and 96.
48
Suppose -5*v = 3*q + 6, -3*v + 3*q + 6 + 0 = 0. Suppose -k + 59 = -a - v*a, 2*k - 143 = -3*a. What is the highest common divisor of 2 and k?
2
Suppose -1110 = -30*w + 25*w. Suppose -5*g + 2422 = w. Calculate the greatest common factor of 88 and g.
88
Suppose -5*t = -5*j - 375, t + 2*t = j + 219. Let g be -120*(-4 - (-3)/1). Calculate the highest common factor of t and g.
24
Suppose 0 = 4*c + 34 + 6. Let g be (c/(-4))/(145/60 - 2). Suppose g*z = -0*z + 168. What is the greatest common divisor of 84 and z?
28
Let k(c) = c**3 - 14*c**2 - 15*c + 13. Let a be k(15). Suppose 0 = -2*r + 2*l + 34, 38 = -4*r + 6*r - 3*l. What is the greatest common factor of a and r?
13
Let x(f) = -15*f + 6. Let u be x(2). Suppose -6*r + 2*w = -5*r - 37, -5*r + 2*w + 161 = 0. Let v = r + u. What is the greatest common divisor of v and 35?
7
Let n = -257 - -219. Let v be n/(-12) + (-115)/(-138). Calculate the greatest common factor of v and 3.
1
Let t = 312 + -192. Suppose 0 = 102*i - 97*i - t. What is the highest common factor of i and 27?
3
Suppose 0 = -66*m - 51*m + 15869 - 1127. What is the highest common divisor of 84 and m?
42
Suppose 0 = -w + 2*a - 3, 0*w + 12 = 2*w + 5*a. Suppose 5*g + 10 = 5*q, 162*g + 4 = 166*g. Calculate the greatest common divisor of w and q.
1
Let f be -7 + 11 - (-1 - 0). Suppose 5*v = -f*s - 0*s + 80, s - 3*v - 16 = 0. What is the greatest common factor of 24 and s?
8
Let f = 11764 + -11594. Calculate the greatest common factor of 970 and f.
10
Let c be 8 + 154 + -2 - 16. Suppose -3*t + 36 = -0*t. What is the highest common divisor of t and c?
12
Let n = 17971 + -17926. Let j = -2 - -6. Suppose 0 = j*u - v - 19, 5*v - 3 = 2. Calculate the greatest common divisor of u and n.
5
Let g(p) = -14*p**2 + 53*p - 11. Let x(d) = 5*d**2 - 18*d + 4. Let f(k) = -4*g(k) - 11*x(k). Let a be f(20). Calculate the highest common factor of a and 15.
15
Suppose 119*j - 539*j - 1434 = -29994. Calculate the highest common factor of j and 12461.
17
Let y(j) = 134*j - 2560. Let x be y(20). Calculate the highest common divisor of 1410 and x.
30
Let g(p) = -5*p + 83 - p**2 - 14*p - 43 + 72. Let d be g(-19). Calculate the highest common factor of d and 32.
16
Let g = -84 + 85. Suppose 0 = -81*q + 88*q - 749. What is the highest common divisor of q and g?
1
Let c(k) = 73*k - 2344. Let i be c(33). What is the highest common divisor of i and 325?
65
Let w(s) be the third derivative of -1/24*s**4 + 0 + 37*s**2 + 13/6*s**3 + 0*s. Let d be w(-8). Calculate the greatest common factor of 63 and d.
21
Suppose 99*c + 2003 = 85*c + 13189. What is the highest common factor of c and 94?
47
Let s = -131 - -141. Suppose -s*h + 50 = -5*h. Let q = 45 + -20. What is the highest common factor of h and q?
5
Suppose -i - 360 = -3*i. Let m = 1182 + -1078. Suppose m*w - 57*w = 940. What is the greatest common factor of w and i?
20
Suppose 0 = -167*l + 134*l + 1254. What is the highest common divisor of 16 and l?
2
Let o be 16/(-8)*46/2. Let y = 80 + o. Let a be (-10 - -3)/(4 - y/8). Calculate the greatest common divisor of a and 4.
4
Suppose 0 = -3*p + 6, -5*u - 5*p + 32 = -3*u. Let y(v) = v**2 - 8*v + 13. Let t be y(u). Calculate the greatest common divisor of t and 69.
23
Suppose 0 = -156*f - 5*f + 7203 - 1729. What is the greatest common divisor of f and 142?
2
Suppose -m + 5*d + 1212 = 0, -5*m + 4204 = 5*d - 1766. What is the highest common divisor of 3 and m?
3
Let d(i) = 3*i**2 - 24*i - 3. Let g be d(13). Suppose -2*h = -5*r - 90, 4*r = 20*h - 25*h + g. What is the greatest common factor of 60 and h?
20
Let w(n) = -6*n**3 - 136*n**2 + 50*n + 302. Let l be w(-23). Let d be 101 - (-1 - 2 - -1). Let k = d - 73. What is the highest common factor of l and k?
30
Suppose 49 + 12 = 3*h - 2*i, -5*h = -5*i - 100. Suppose 2*d - h = -d. Let j(l) = 56*l - 84. Let w be j(2). What is the greatest common factor of w and d?
7
Let n = 2439 - 2346. What is the highest common divisor of 192 and n?
3
Let a(b) = 82*b - 2. Let w be a(5). Suppose 7518 = -20*m - 30*m + 8718. What is the greatest common factor of m and w?
24
Let x be (((-1430)/15)/11)/((-2)/354). Calculate the greatest common divisor of x and 26.
26
Let v = 1465 + -1249. Let x(u) = -u**3 - 4*u**2 - 2*u + 4. Let m be x(-4). What is the greatest common factor of m and v?
12
Suppose -6*t = -43 + 19. Suppose 364 = t*o + 92. What is the highest common divisor of 34 and o?
34
Let d = 280 - -1050. Suppose -k + d = 9*k. Calculate the greatest common divisor of 19 and k.
19
Let x be ((-40)/(-36))/((-21)/(-5859)). Calculate the highest common divisor of 70 and x.
10
Suppose 3*i - 3*n + 245 = 89, -4*i - 19