
7
Suppose -3*p = 39*k - 42*k + 4200, -4*p = 3*k - 4179. Calculate the highest common factor of k and 1905.
127
Let h be (46/(-24) + 2/(-6))/(12/(-960)). What is the highest common divisor of 6180 and h?
60
Let r = 19 + 17. Suppose 4*l - 2*o = -50, l - 2*o + 11 = -0. Let j = l - -31. What is the highest common divisor of j and r?
18
Suppose 5*l - 10 = 3*t, -3*t + 1 = 5*l - 39. Calculate the highest common factor of t and 215.
5
Let g(y) = -y**2 - 112*y - 740. Let f be g(-7). Let h = 1 + 0. Let z be (f/(-30)*3)/(h/26). Calculate the highest common divisor of 104 and z.
13
Let c(h) = -102*h**2 + 213*h - 5. Let y be c(2). Suppose 0 = -3*n + 2*r + 439, -150 = -5*n + 4*r + 585. Calculate the greatest common divisor of y and n.
13
Suppose 3*k + 19 = 133. Let q(h) = 4*h**2 + 144*h - 1185. Let l be q(-43). What is the highest common divisor of k and l?
19
Let h = 69 - 509. Let p = h + 445. Calculate the greatest common factor of 1 and p.
1
Let r(y) = -326*y + 4614. Let l be r(7). Calculate the greatest common divisor of l and 176.
44
Suppose -5*m - 6 = -8*m. Suppose 4*b + 0*b - m*l - 2 = 0, -5*l = 3*b - 8. Calculate the highest common divisor of b and 52.
1
Let h be (3/2)/(-4 - (-705)/174). Suppose -19 = -4*r + h. What is the greatest common factor of r and 28?
4
Let x = 54 + -36. Suppose 3 = -w, 0 = -7*m + 11*m + 3*w - 7. Suppose 3*u + p + 224 = 8*u, -m*u - 4*p = -184. Calculate the highest common factor of u and x.
9
Let z(w) = -127*w + 151. Let l be z(-2). Calculate the greatest common factor of 15 and l.
15
Let r(n) = 4*n**2 + 12*n + 18. Let p be r(-9). Let o = p + -189. Calculate the highest common divisor of 5 and o.
5
Let p(c) = -c**2 + 3*c + 12. Let y be p(5). Let l = -252 + 281. What is the highest common factor of l and y?
1
Suppose -2*r + 12 = -2*u, -4*u - 4 = 5*r - 43. Suppose o + r - 34 = -h, -2*o + 36 = -4*h. Let l = -41 + 233. Calculate the greatest common divisor of l and o.
24
Let h(a) = a**3 - 14*a**2 - 19*a + 16. Let k be h(15). Let b be (k/(-6) + 2)*1872/32. Calculate the greatest common factor of 26 and b.
26
Suppose 33*m - 31*m = -176. Let f = m + 115. What is the highest common factor of f and 108?
27
Let a(r) = r**2 - 6*r - 31. Let k be 54/(-4)*(-6)/9. Let x be a(k). Let l be ((-13)/x)/((-7)/4 - -2). Calculate the highest common factor of l and 52.
13
Suppose 0 = 2*r - 183 - 15. Let p be r/36 + 2/8 + 21. Calculate the highest common factor of p and 18.
6
Suppose -460*i = -59*i - 22456. Calculate the highest common factor of i and 2478.
14
Let r = 3612 + 3752. What is the highest common factor of 1315 and r?
263
Let z = 12 - -15. Let s(u) = 946*u - 6619. Let f be s(7). What is the greatest common divisor of z and f?
3
Let o be (16/(-24))/((-1)/201). Let h = -54 + o. Suppose -5*n + 5*k = -340, -2*n - k + 50 = -h. What is the greatest common divisor of n and 6?
6
Suppose -6*t + 9 + 105 = 0. Let r(b) = 32*b - 279. Let k be r(t). What is the highest common factor of k and 7?
7
Suppose x = -3*f + 75, 5*f - 120 = 2*x - 17. What is the highest common divisor of f and 161?
23
Let q be (-3 - 546 - 1) + -2. Let o = q - -578. What is the highest common divisor of 221 and o?
13
Let i = 3258 - 3206. Let h(q) = q - 4. Let d be h(12). What is the highest common divisor of d and i?
4
Suppose 10 = -47*h + 49*h. Suppose 4*b = -2*o + 4, 2*o = -h*b + 4*b + 1. Let j be b/6 - (-249)/18. Calculate the greatest common factor of j and 7.
7
Suppose 2*u + 136 = 4*g, -111*u - 34 = -g - 110*u. Calculate the greatest common factor of g and 646.
34
Suppose -9*m = -10*m + 2. Suppose -92 = -2*g - m. Let i be 124/9 - (-10)/g. What is the greatest common factor of 112 and i?
14
Let k = -5486 - -6452. What is the highest common factor of 294 and k?
42
Let p(n) be the third derivative of n**5/60 - 23*n**4/24 - 8*n**3 + 4*n**2 + 3*n. Let v be p(26). Calculate the greatest common factor of v and 20.
10
Suppose 0 = 3*x - 4*a - 38, 3*x + 4*a + 0 = -2. Let b be 1 - (-3 + -12 + 13). Let s be ((-22)/x + 0)*(-9 + b). What is the greatest common factor of 33 and s?
11
Let d be (-22 + 67)/(3/2). Let a be ((-7)/(35/72))/(d/(-75)). Calculate the highest common divisor of a and 486.
18
Let j = -35 - 61. Let o = j + 657. What is the greatest common divisor of o and 33?
33
Suppose -1609 = -14*r - 1055 + 4920. Calculate the highest common divisor of 221 and r.
17
Let h(d) = 8 + 8 - 18 + 4*d. Let u be h(-16). Let p be 1/(u/69 - -1). Calculate the highest common factor of p and 46.
23
Suppose 38*r - 33975 = 21*r + 14*r. Calculate the highest common divisor of r and 75.
75
Let q(d) = 8*d**2 - 96*d + 646. Let i be q(10). What is the highest common factor of 4 and i?
2
Let b be (-12 - 233) + (-5)/5. Let d = b + 287. Calculate the highest common factor of 1107 and d.
41
Let q be 18/(0 + -3 - -5). Suppose -226*u = -223*u - 4*f - 37, 3*f + 69 = 5*u. Calculate the greatest common divisor of q and u.
3
Let q be 4*(-11 + -2)*-2. Let h(d) = d**3 + 5*d**2 - 416*d - 38. Let t be h(-23). What is the highest common divisor of t and q?
8
Let o be 52/5 + (-4 - (-69)/15). Let r(b) = 5*b - 25. Let s be r(o). What is the highest common divisor of 240 and s?
30
Suppose 1115 = 37*p - 1802 - 191. What is the greatest common factor of p and 1974?
42
Let t be -14*2/(1 + (-28)/20). Let v = 2 + 0. Suppose 0 = -v*n - 1 + 21. What is the greatest common factor of n and t?
10
Suppose -6*x - 146 = -164. Let s be 1/((-440)/148 + 3). Suppose -x*v + s = -113. Calculate the highest common factor of 125 and v.
25
Suppose -65*c - 13*c = -399462 - 265488. What is the greatest common factor of 155 and c?
155
Let a = 35 - 32. Let k be 8/(-12)*a*-2. Suppose k*p = -84 + 196. Calculate the greatest common divisor of 42 and p.
14
Let v be ((-45)/(-18))/((-8)/(-80)). Suppose 18*c = 26 + 64. What is the highest common factor of v and c?
5
Let u(l) = 8*l**2 + 1005*l + 985. Let z be u(-140). Calculate the highest common factor of 67 and z.
67
Let q = -945 + 1350. Let g = q - 356. Calculate the highest common factor of g and 343.
49
Suppose -69 = 6*y + 51. Let r = 9 - -3. Let m be (1 - 0 - y/16)*r. Calculate the greatest common divisor of m and 9.
9
Suppose 2*s - 2 = 0, 0 = 434*z - 437*z - 5*s + 86. What is the greatest common divisor of z and 873?
9
Let d(j) = 74*j + 22. Let k be d(4). Let r = k - 238. Calculate the highest common factor of 5 and r.
5
Suppose 0 = -6*f + f. Suppose f = -7*v + 2*v + 130. Let r be 188 + (96/(-18) - 6/9). What is the highest common factor of v and r?
26
Let j be 27936/22 - (-12 - (-390)/33). What is the highest common factor of j and 5207?
127
Let p(w) = -22*w + 6. Let y be p(1). Let z be 12/y + (-492)/(-16). What is the highest common divisor of z and 6?
6
Suppose 4*d - k + 3*k - 10 = 0, 2*d - k = 15. Suppose -2*x + 537 = d*v + 50, -3*v + 301 = -x. What is the greatest common divisor of 22 and v?
11
Suppose 5*t - 38683 = 4*s, 4*s - 23165 = -15*t + 12*t. What is the highest common divisor of 18 and t?
9
Let w be ((-11)/11 - 21/(-15)) + (-2988)/(-30). Calculate the highest common divisor of w and 350.
50
Let h(w) = -w**2 + 12*w - 46. Let m be h(16). Let p be (-10)/3*7392/m. What is the highest common divisor of 7 and p?
7
Let p = 4909 - 424. Calculate the greatest common factor of 39 and p.
39
Let a(n) = -n**3 - 15*n**2 + 67*n - 191. Let h be a(-20). Calculate the highest common factor of 567 and h.
7
Let s(p) = -23*p**2 + 6*p**2 + 74 + 11*p**2 + 15*p + 7*p**2. Let g be s(-10). Calculate the highest common divisor of g and 108.
12
Let w(q) = q + 26. Let g = -88 - -68. Let i be w(g). Let d be 3/6 + i/4. Calculate the greatest common divisor of 2 and d.
2
Suppose -3*y = -12*y + 18. Suppose 0 = -3*h - 2*q + 328, 4*h - 2*q = y*h + 212. Let k = h + -63. What is the highest common divisor of 9 and k?
9
Let j = 12571 - 12563. Calculate the greatest common divisor of j and 41.
1
Let j = -97 - -101. Let n(f) = 5*f - 10. Let x(g) = 5*g - 10. Let q(h) = j*n(h) - 3*x(h). Let c be q(6). What is the greatest common factor of 4 and c?
4
Let n(l) = l**3 + 32*l**2 - 24*l - 1528. Let t be n(-31). Calculate the greatest common divisor of t and 1121.
59
Suppose 23 - 109 = -n. Suppose 0 = x + n - 89. Let y be (-6 - (-15)/x)*-125. What is the highest common divisor of 50 and y?
25
Suppose 2*n - n + 2 = 0, -2*n = -2*y