
Suppose -j = -3, 7*w = 2*w - 4*j + 102. Suppose -w*f + 16*f + 180 = 0. Calculate the highest common factor of f and 225.
45
Let s be (149 + 1)*(-9)/(81/(-12)). What is the highest common factor of s and 8?
8
Let b = -7662 - -7710. What is the highest common factor of 2176 and b?
16
Suppose 0 = 5*n - 152 - 33. Suppose 15*q = 45*q - 87 - 1353. Suppose -n = d - q. Calculate the greatest common divisor of 110 and d.
11
Let t(z) = 17*z - 1. Let h be t(2). Let r(u) = 93 + 106 - 2*u - 212. Let b be r(-12). Calculate the highest common factor of b and h.
11
Suppose 149*l + 315 = 134*l. Let f = l + 99. Calculate the highest common factor of f and 130.
26
Suppose -4*l = 2 + 62. Let r = 17 - l. Suppose -5*w = 5*q + 5, -3*w + 6*w - q - 13 = 0. Calculate the greatest common divisor of w and r.
3
Let o = 64 + 2. Let n(g) = g**3 - 7*g**2 - 9. Let i be n(7). Let f = i - -20. What is the greatest common factor of f and o?
11
Suppose 5 = -2*c - 3*n, 0 = 4*c + 5*n + 3 + 2. Suppose -5*t = -3*f + 115, 0*f - 221 = -c*f + t. What is the greatest common factor of 105 and f?
15
Suppose -22*g + 4 = -24*g. Let r be ((-238)/(-56))/(g/(-8)). Suppose 0 = t + 2*n - r, -4*t + 6*t = n + 59. Calculate the highest common factor of 81 and t.
27
Let u be 22/4 + (2/4)/(-1). Suppose 4*j - 108 = -d, 5*j + u*d - 150 = -0*d. Let c = -23 + j. What is the greatest common divisor of c and 2?
1
Let d(f) = 347*f**2 - 9. Let y be d(-8). Let z = y + -9070. Let h be z/133 - 4/(-14). Calculate the greatest common factor of 9 and h.
9
Suppose 9449*s - 9468*s + 855 = 0. What is the greatest common divisor of 1875 and s?
15
Let b(j) = -18821*j**3 - 67 + 18822*j**3 - 1 - 6*j**2 + 14*j. Let y be b(6). What is the highest common factor of y and 20?
4
Suppose 0 = -3*o + 3*b - 2*b + 103, -5*o + b + 175 = 0. Suppose -o = 16*s - 148. Let a be (-2)/8 + (-85)/(-4). What is the highest common factor of a and s?
7
Let d(l) = -l**2 + 8*l + 10. Let q be d(9). Let c = q + 1. Let y be (1 + 2)/(3/c). What is the greatest common divisor of 8 and y?
2
Suppose -14 - 9 = -g. Suppose -g*t + 4*t = -95. Calculate the greatest common factor of t and 60.
5
Suppose 3 = -3*g + 111. Suppose 0 = 5*m - 2710 + 885. Let v = 473 - m. Calculate the highest common factor of v and g.
36
Let u(a) be the second derivative of a**5/10 + 23*a**4/12 - 5*a**3/2 - 9*a**2/2 + 57*a. Let p be u(-12). What is the greatest common factor of 36 and p?
9
Suppose q + 4*q + 1146 = 3*i, 0 = 4*i - q - 1511. Let z = i - 363. Calculate the highest common factor of z and 98.
14
Let h(b) = -5 + 7*b + 2*b**2 - 3 + 3 - 9*b. Let l be h(-3). Suppose 285 = -2*g + 5*g. Calculate the greatest common factor of l and g.
19
Let t = 108 - 52. Let y(d) = -7*d + 9. Let q be y(2). Let x be ((-70)/q)/(1/10). What is the greatest common factor of t and x?
28
Let r = 475 + -471. Let q be (((-112)/(-6))/r)/(78/4095). Suppose 34 = -3*w + 139. Calculate the highest common divisor of w and q.
35
Let d(v) = 13*v + 17. Let f be d(-1). Suppose 151 = 4*w + y - 74, 0 = -f*w + 2*y + 222. Calculate the highest common factor of 616 and w.
56
Let y be (-420)/(-24)*24/20 - -3. What is the greatest common divisor of 6008 and y?
8
Suppose 0 = -y + 13*y. Suppose y = -3*g - 4*g. Suppose 2*h - 24 + 0 = g. What is the greatest common factor of 108 and h?
12
Let c(m) = m**2 - 214*m + 342. Let z be c(-39). Calculate the highest common divisor of z and 3.
3
Let b be (-10)/(-30) - 52/(-6). Let n be (-7)/(-14)*(1 + 5)*141. What is the highest common factor of n and b?
9
Let n(z) = -z + 26. Let t be n(-25). Let o be 110/1*1 - 8. What is the greatest common factor of o and t?
51
Suppose 2*f - 28 = 10. Let t = -17670 + 19057. Calculate the greatest common divisor of t and f.
19
Suppose -t = -5*a - 13 - 0, 0 = -3*t - 5*a + 39. Let z be 4*(-4 + 17)*5/(-20)*-4. Calculate the greatest common divisor of z and t.
13
Let n(y) = y + 43. Let f(p) be the first derivative of -p**2 + p + 48. Let j(s) = f(s) + n(s). Let m be j(-10). What is the highest common factor of m and 162?
54
Let a = 2912 + 19240. What is the highest common factor of a and 156?
156
Let j(w) = -7*w**3 + 6*w**2 + 17*w + 8. Let c be j(-3). Calculate the highest common factor of c and 120.
40
Let y(p) = 14*p + 2848. Let q be y(23). Calculate the highest common factor of 35 and q.
5
Suppose -2*o + 11 = -5*t + 324, 4*t + o = 253. Let f be (-28)/t - (-1304)/18. What is the greatest common factor of 396 and f?
36
Let c(f) = 8*f + 84. Let m be -4 + -4 + 0 + -2. Let w be c(m). Calculate the greatest common divisor of w and 36.
4
Suppose 0 = -2*t + 2*n + 640, -t + 33 = n - 283. What is the highest common factor of t and 6?
6
Suppose -1087*u = -2171*u + 1081*u + 1944. Suppose 14 = i + 3*w + 2*w, -4*i - w = -94. Calculate the greatest common divisor of i and u.
24
Suppose 4*o + 3 = 5*o. Let r(d) = 2*d**2 + 6*d + 3*d**3 - 3*d**2 + d**3 - 6 + d**o. Let u be r(4). Calculate the greatest common factor of u and 46.
46
Suppose 3*t - 8*t = -3*l - 340, 0 = 3*t + l - 218. Calculate the greatest common divisor of t and 3337.
71
Let j(a) = a**3 - 11*a**2 + 14*a + 3. Let d be j(6). Let s = d - -493. Calculate the highest common divisor of s and 25.
25
Let p(m) = m**3 + 10*m**2 + 9. Let f be p(-9). Let k = 319 + -259. What is the greatest common divisor of k and f?
30
Let u = -2 - -6. Suppose 5*c - 5*f = 30, -2*c - 3*f - u + 36 = 0. Let n(l) = 3*l**2 + 14*l - 9. Let w be n(-7). What is the highest common factor of c and w?
10
Let k(m) = -m**3 + 23*m**2 + 59*m - 206. Let v be k(25). Calculate the greatest common factor of v and 4579.
19
Let q(u) = -u**3 + 9*u**2 - 5. Let y be q(9). Let o be 14/3*(-30)/y. Suppose 50*d = 52*d - o. What is the greatest common factor of d and 35?
7
Suppose -d + 1 = t + 8, 0 = -d + 5*t - 1. Let f(j) = j**2 - 15*j - 42. Let v be f(d). What is the highest common divisor of 24 and v?
12
Let g(z) = -z + 20. Let j be g(0). Let u be (-16)/(-4 - 0) + (j - 3). Calculate the greatest common divisor of 3 and u.
3
Let y(a) = 9*a**2 + 4*a - 3. Let u be y(-3). What is the greatest common divisor of u and 13233?
33
Let s = 1399 + -1199. What is the greatest common factor of s and 16?
8
Suppose -2*w + 7*w - 3*w = 11250. What is the greatest common divisor of w and 18?
9
Let o = -26 - -33. Let g be (1 - -1) + (-510)/6. Let j = -48 - g. What is the greatest common factor of o and j?
7
Let l = -311 + 353. Let k(d) = -9*d**2 - 21*d + 1. Let p be k(-2). What is the highest common divisor of p and l?
7
Let z = 14 - 21. Let w be (z - (-3)/1) + 4. Suppose w = 6*r - 7*r + 15. Calculate the highest common divisor of r and 10.
5
Suppose w - 35 = 36. Suppose -3*m + 533 = w. What is the greatest common divisor of 42 and m?
14
Let y = 2394 + -1974. What is the highest common factor of 40 and y?
20
Let g be ((-371)/(-35) - 5) + (-4 - (-66)/15). What is the highest common divisor of g and 3198?
6
Suppose 10*x + 30 = 12*x. Suppose -x*y = -3629 + 869. Calculate the greatest common divisor of y and 23.
23
Let k = -520 + 343. Let i = k + 409. What is the greatest common factor of 29 and i?
29
Suppose -5*c + 491 = 471. Let y = 518 + c. What is the highest common divisor of 18 and y?
18
Suppose 67*c - 75 = 62*c. Suppose 273 + c = 6*u. Calculate the greatest common factor of 12 and u.
12
Suppose 0 = 17*g - 15*g - 16. Suppose -20*y + g*y = -36. Suppose 3 - 1 = d + 3*x, y*d = -x + 6. Calculate the highest common divisor of 14 and d.
2
Let m = -32 + 177. Suppose -m - 165 = -5*i - 5*d, 5*i + d = 290. What is the highest common divisor of i and 38?
19
Let p = 4798 + -4767. Suppose -5*x = -d + 31, -3*d + 41 = -2*d + 5*x. Suppose p*s = d*s - 50. Calculate the highest common factor of s and 80.
10
Suppose 144*r - 7930 = 2754 + 12932. What is the highest common divisor of r and 25256?
164
Suppose 2*p = -4*c + 2174, p + 20*c = 23*c + 1047. Calculate the highest common factor of p and 1827.
63
Let w(n) = -n**3 - 8*n**2 - 28*n - 111. Let d be w(-7). Calculate the greatest common divisor of 7830 and d.
18
Let v be (678/(-12) + -2)*(-112)/84. What is the highest common factor of v and 102?
6
Suppose -16*r - 2*r - 180 = 0. Let f be (40/24)/(r/(-144)). Calculate the highest common divisor of f and 24.
24
Suppose 113*p - 18 = 109*p + 2*w, -4*p + 5*w = 15. Suppose -6*q + q - 60 = 0. Le