Let j be 2/(-6)*-6*-7. Let o = j - -18. Suppose 5*n - 119 = n - 3*r, -2*r = -n + 38. Calculate the greatest common factor of o and n.
4
Let b(l) = 11*l - 2 - 4*l + 15 - 8*l. Let c be b(6). Let u(p) = p**3 - 8*p**2 + 6*p + 17. Let g be u(c). Calculate the greatest common factor of 110 and g.
10
Let p = 2280 + -2126. What is the greatest common factor of p and 693?
77
Let h(a) = a**3 - a**2 + a + 42. Let u be h(0). Let v be (7/4)/(48/1920). What is the highest common divisor of u and v?
14
Suppose 9803 + 725 = 91*z - 1848. Let v be ((-16)/(-5))/((-1)/(-5)). Calculate the greatest common divisor of z and v.
8
Suppose 243*w - 7657656 = -88*w + 2240568. What is the highest common factor of w and 89?
89
Suppose 74*u = 72*u - 5*t + 7359, 0 = 4*u + t - 14691. What is the greatest common divisor of 8 and u?
8
Let y be ((-81)/15)/((-306)/28560). Calculate the highest common divisor of y and 7476.
84
Let h be ((-4)/6)/(3/(81/6)). Let q be (1 - (-14)/42)*h/(-2). What is the greatest common divisor of q and 17?
1
Suppose -10*u + 177 = 37. Suppose 3*j + 3 = 0, 0 = 3*y - 4*j - u - 41. Let n(r) = 18*r - 3. Let a be n(3). Calculate the greatest common divisor of a and y.
17
Suppose -63*u + 321900 = -5*u. Calculate the highest common factor of 45 and u.
15
Let y(i) = -5*i - 192. Let u be y(-45). Let v be (-1108)/(-20) + (-2)/5. Calculate the greatest common factor of v and u.
11
Let r(z) = z**3 + 7*z**2 + 4*z - 3. Let l be r(-4). Let x = l + 55. What is the highest common factor of 12 and x?
12
Let g = 287 - 289. Let f be (32/48)/(g/(-432)). Suppose 0 = -5*u - 2*n + 56 + 40, 4*u - 3*n = 63. What is the greatest common factor of f and u?
18
Let r be 3/(-7) + -5 + 136/7. Let j(t) = -13*t - r + 6 - t**2 - 6*t + 9. Let f be j(-17). Calculate the greatest common divisor of f and 5.
5
Let t(w) = w**3 + 4*w**2 - 21*w + 27. Let y be t(2). What is the highest common divisor of y and 31?
1
Suppose -35*g - 17*g = -15*g - 1184. Calculate the highest common divisor of g and 224.
32
Let s be (28/(-49))/(6/(-21)). Suppose -4*g + 182 = 2*z, 0 = -4*g + z - s*z + 183. Calculate the highest common divisor of g and 46.
46
Suppose 0 = -i - 2*z - 6, -11*i + 9*i - 15 = 5*z. Suppose i = -160*k + 155*k + 10. Calculate the highest common divisor of 26 and k.
2
Let r = -158 - -180. Suppose -24*t + 218 = -r. Calculate the greatest common divisor of 5 and t.
5
Suppose -9 = o - 31. Let t = -84 + o. Let z = 103 + t. What is the greatest common divisor of 164 and z?
41
Suppose -49*a + 54*a - 145 = 0. Suppose a*m - 90 = 20*m. What is the highest common factor of m and 16?
2
Let j(z) = z**3 + 13*z**2 - 30*z - 18. Let u be j(-15). Let r be u*20/5*-1. Let b(l) = l + 9. Let y be b(9). What is the highest common divisor of r and y?
18
Let a = 89826 + -63169. Calculate the greatest common factor of a and 19.
19
Let o be ((0 - 14)*-1)/(75 + (-16647)/222). Calculate the highest common divisor of 37 and o.
37
Suppose 0 = -p + 10 + 2. Let t be p/((-21)/(-35)*2/3). Suppose 0 = 5*w - 0*y - 5*y - 30, t = 5*w + 5*y. What is the greatest common factor of 48 and w?
6
Let t be 130088/230*(-4)/((-16)/10). What is the greatest common factor of t and 28?
14
Let z(s) = 20*s**3 + 181*s**2 - 1. Let i be z(-9). Let o(c) = 2*c - 4. Let h be o(7). What is the greatest common factor of h and i?
10
Suppose 2*z + 13*z = 4095. Suppose -z = -7*q + 4*q + 3*j, 5*j + 279 = 3*q. Let m = -20 + 28. Calculate the greatest common divisor of m and q.
8
Suppose -2*s + 2*i = -1173 - 1373, 0 = 3*s - 4*i - 3822. Let w = s - 760. Suppose 2*o = -o + w. Calculate the greatest common divisor of o and 34.
34
Let z(s) = -8*s**3 - s**2 - 6*s - 28. Suppose -528*a + 520*a - 32 = 0. Let j be z(a). What is the highest common factor of j and 24?
12
Let o(k) = -58*k**3 - k**2 + 13*k + 14. Suppose 21*z - 78 = -99. Let r be o(z). What is the highest common factor of 638 and r?
58
Let s = 452 + -428. Suppose 5*z - 3*z = s. Calculate the greatest common factor of z and 12.
12
Suppose 0 = 6*v + 9*v - 75. Suppose v*o - 49 = -0*o + l, o = 5*l + 29. Suppose -2*n - 3*n = -315. Calculate the greatest common factor of n and o.
9
Let a(y) be the second derivative of -y**4/12 + 3*y**3 - 41*y**2/2 - 71*y. Let u be a(5). Let h = 19 + 53. What is the greatest common factor of u and h?
24
Suppose 0 = 4*c - 61 + 21. Suppose -n + 10 + 152 = 0. Let l = n - 82. What is the highest common divisor of c and l?
10
Suppose 0 = -u - m + 140, 2*m + 932 = 3*u + 477. Calculate the greatest common factor of 13769 and u.
49
Let w be (30/(-8))/(-1 + 5/4). Let f be 6 - ((-12)/(-9))/((-10)/w). Calculate the greatest common divisor of f and 1.
1
Let h be (44/(-8) + 2)*(1 - -9). Suppose 3*z = -5*l + 29 + 220, 0 = -4*l + 2*z + 186. Let m = h + l. Calculate the greatest common factor of m and 104.
13
Let u(s) = -12*s - 23. Let y be u(-8). Let v = y + -76. Let f be 275/15 - (-1)/v. What is the highest common divisor of f and 36?
18
Let x(d) = 3*d**2 + 111*d + 523. Let l be x(-5). Let t be 1/(4 + 11/(-3)). Suppose -2838 = -t*r - 3*r. What is the highest common divisor of r and l?
43
Let b be 7 + -98 + -1 + -1. Let a = b - -141. What is the highest common divisor of 216 and a?
24
Suppose 0 = 29*a - 23*a - 4512. Suppose 36*p = 32*p + a. Calculate the highest common divisor of p and 4.
4
Let b be -6*4/10*35/(-28). Let y be ((-23)/b)/(9/54). Let k = y + 65. What is the greatest common divisor of 95 and k?
19
Suppose -35697 + 67233 = 30*j - 35694. What is the highest common factor of j and 166?
83
Let x be 4/(-6) + 107/3. Let u be 5 - (-36)/48*4. Let t be 473/11*1 - u. Calculate the greatest common factor of t and x.
35
Let b be (-5)/(-2) + 4*6/(-48). Suppose -u - 2*s + 10 = -3*s, 3*u = b*s + 28. What is the greatest common factor of 152 and u?
8
Let v(c) = 2*c**2 - 6*c + 41. Let l be v(-21). Suppose -5*f + 0*y = 5*y - 3580, 5*y - 716 = -f. Let r = l - f. What is the highest common factor of 37 and r?
37
Let g be 15/20 - (-1594)/8. Let d = 279 + -159. Suppose 6*u = 3*u + d. Calculate the highest common divisor of u and g.
40
Let a be (-3 + 12*6/4)*9*9. What is the highest common factor of 270 and a?
135
Suppose 0 = -5*g - 569 + 3289. Suppose -i = 3*s - 5*i - g, 0 = s + i - 172. Let r = -90 + 106. Calculate the highest common factor of s and r.
16
Let c(f) = 56*f**2 - 3*f - 2. Let o be c(-1). Suppose o*j = 60*j - 36. Let y be (-3)/(-5) + (-84)/(-35). What is the highest common factor of y and j?
3
Let l = 328 - 323. Suppose 0 = 382*m - 377*m - l. Calculate the greatest common factor of 13 and m.
1
Suppose 0 = 5*r - 2*r + 5*g - 115, -3*g + 6 = 0. Suppose 32*c + 78 = r*c + 3*n, 2*n = 4*c - 110. Calculate the highest common divisor of c and 675.
27
Suppose -3*l - 4*z = -42, 65 = -2*l - 3*z + 91. Calculate the greatest common factor of l and 1023.
11
Let v = -726 - -791. Calculate the highest common factor of 273 and v.
13
Suppose s - 4 + 2 = 0, c - 5*s - 243 = 0. Suppose -3*l - 223 = 2*d, 3*d - 5*d + 3*l = c. Let z = 56 - d. Calculate the highest common factor of z and 25.
25
Suppose 3*c = 6*c. Suppose c = n - 6*n - 275. Let w be (-64)/(-11) - 10/n. What is the greatest common divisor of w and 3?
3
Suppose -3*g = -u + 235, 2*g + u = -0*u - 150. Let j = g + 251. Calculate the greatest common factor of 116 and j.
58
Suppose -1751 = -22*k - 343. Let r = k - -62. What is the highest common divisor of r and 54?
18
Suppose 22374*w = 22368*w + 28776. Calculate the highest common divisor of w and 11.
11
Let k(f) = 2*f**2 - 13*f - 31. Let v be k(9). Suppose 2*u + 14 = h + 4, -3*h = 2*u - v. Calculate the highest common divisor of 180 and h.
6
Let j(o) = o**2 - 87*o - 1606. Let u be j(-16). Calculate the highest common factor of u and 112.
14
Suppose 120*l + 3 = 123*l, 5*f - 5*l = 6800. Calculate the highest common divisor of f and 1.
1
Let y(t) = 5*t**2 - 7*t + 42. Let w = -401 - -407. Let a be y(w). Calculate the greatest common factor of 36 and a.
36
Let c be (4/10)/((21/(-30))/(-7)). Let x be (3 - (-62)/(-10))*(-30)/c. Suppose 0*a + b = a - x, 3*a = 5*b + 80. Calculate the highest common factor of a and 30.
10
Suppose -5*a - 30 = -10*a. Suppose a - 2 = 4*p. Let h(z) = -2*z**2 + 99*z + 1268. Let u be h(60). What is the highest common divisor of u and p?
1
Let k(r) = -r + 1. Let f be k(-4). Suppose f*