
22
Suppose 0 = 3*l - 2*b - 59, 5*l + 3*b - 125 + 14 = 0. Let q = 47 + 142. Calculate the greatest common factor of q and l.
21
Let w(j) = 2*j**2 + 2*j + 1. Let l be w(-4). Suppose 14*n - 6*n - 5 = -t, -2*n = 3*t - 15. Calculate the highest common divisor of l and t.
5
Suppose 3230 = 21*m - 6808. Let p = 826 - m. Calculate the highest common factor of 12 and p.
12
Let d be 1*(-2)/((-12)/102). Suppose w = -4*b + d + 25, w - 2*b - 48 = 0. Calculate the greatest common divisor of 92 and w.
46
Suppose -24*j = 12 - 12. Suppose -6*l = -7*l + 4*f + 43, j = 4*l + 2*f - 208. Calculate the greatest common factor of l and 3.
3
Let c be ((-118)/3)/(65/(-1170)). What is the greatest common divisor of 228 and c?
12
Suppose 0 = 10*j + 3*m - 3477, -2*m + 632 = -3*j + 1678. Calculate the greatest common factor of j and 4466.
58
Let v = 59 + -57. Suppose -192 = -4*h - v*h. Let j = 138 + -58. Calculate the greatest common factor of h and j.
16
Let l = -475 - -510. Let d be (2/4)/(l/11270). What is the highest common divisor of d and 23?
23
Suppose -60*m + 84*m - 1128 = 0. Calculate the greatest common divisor of m and 1222.
47
Let s(r) = r**3 - 6*r**2 - 6*r - 12. Let c be s(7). Let a be 28/210 - 703/(-15) - c. Calculate the greatest common divisor of 65 and a.
13
Let h be (4 + -2 - -2) + 0. Suppose -4*g = -g + 5*l + 21, 0 = -h*g - l - 11. Let m be (4 + g)/((6/(-27))/(-1)). Calculate the highest common divisor of m and 1.
1
Suppose -127*t + 46998 = -113*t. Calculate the greatest common divisor of 9 and t.
9
Let v(k) = 311*k - 1787. Let u be v(7). What is the highest common divisor of 2470 and u?
130
Let q = -10329 - -10713. Suppose -2*r + 7*r - 30 = 0. Calculate the highest common divisor of q and r.
6
Let d(m) = -2*m**2 + 162*m - 3145. Let n be d(34). Let i(w) = 188*w - 1. Let v be i(1). What is the highest common divisor of n and v?
17
Let f(u) = -2*u**3 - 66*u**2 - 13*u - 187. Let m be f(-34). What is the greatest common factor of 289 and m?
17
Let n(u) = -922*u + 1854. Let y be n(2). Calculate the greatest common factor of y and 3430.
10
Let y(t) = -215*t + 9875. Let j be y(30). Calculate the greatest common factor of 548 and j.
137
Let r be ((-18)/(-9) - 4) + 127. Suppose -85*s = -90*s + r. What is the highest common divisor of s and 30?
5
Let p be 0 + (-9)/15 - 342063/(-205) - 6. What is the highest common factor of p and 12?
6
Suppose 0 = 2*f + 7*f - 5103 - 23013. Calculate the highest common divisor of f and 44.
44
Let t = -4 + 6. Let v(f) = 6*f - t*f - 2*f**3 + 3*f**3 - 35 + 46. Let o be v(0). What is the highest common divisor of 55 and o?
11
Suppose f - 5*p - 479 = 0, -5*f + 5*p + 0*p = -2435. Let q(g) = -f*g**3 + 2*g - 1 - 3 + 491*g**3. Let t be q(2). What is the highest common factor of 176 and t?
16
Let x(d) = 6*d**3 - 337*d**2 + 66*d - 41. Let k be x(56). What is the highest common divisor of 6055 and k?
173
Suppose 4*g - 2*g - 4 = 0. Let w be 0*(100/250 + 2/20). Suppose -g*u = c - 234, -c + 5*u - 15 + 249 = w. Calculate the greatest common factor of 26 and c.
26
Let m(s) = -s**3 + 10*s**2 - 10*s - 7. Let a be m(6). Let y(b) = -b + 11. Let t be y(0). What is the greatest common factor of a and t?
11
Let c = 353 - 420. Let t = c - -70. What is the highest common factor of t and 177?
3
Let x be -1 + -8 + 7 - 6. Let w be (28/(-21))/(x/348). Calculate the highest common factor of 406 and w.
58
Let y(d) = -23*d + 124. Let l be y(12). Let z = 327 + l. Calculate the highest common factor of 7 and z.
7
Let b = 361 - 359. Let r be 0/26 + (21 - b). Calculate the greatest common divisor of r and 551.
19
Let c(i) = 60*i**2 + 122*i + 21. Let p be c(-3). Let a(l) = l**2 - 11*l + 15. Let x be a(11). What is the greatest common factor of p and x?
15
Let z(d) = 69*d - 63. Let b be z(1). Suppose -16 = -u - 2. What is the greatest common factor of b and u?
2
Let j = 1846 - 1054. Let k = -204747 + 204819. What is the highest common divisor of k and j?
72
Suppose -5*n + 2 = -103. Let d(v) = 3*v**2 - 27*v - 29. Let y be d(11). Let a = y - n. What is the highest common divisor of a and 48?
16
Let c = 0 - -3. Suppose 7*i = c*i + 1056. Suppose -647*k + 21045 - 7361 = 597*k. Calculate the greatest common divisor of k and i.
11
Let r(n) = n**3 + 16*n**2 + 40*n - 120. Let z be r(-11). What is the highest common divisor of 4395 and z?
15
Suppose 26*t + 9*t = 4060. What is the greatest common divisor of t and 1943?
29
Let v = -152 - -327. Suppose -3*o = g - 125, 13*o - 5*g = 8*o + v. What is the highest common factor of o and 640?
40
Let o(a) = a**3 + 6*a**2 + 4*a - 5. Let l be o(-4). Let j = 558 - 217. What is the highest common factor of j and l?
11
Let h be 27 - (10/8)/(26 - 27)*4. Calculate the greatest common divisor of 1352 and h.
8
Suppose 205*u - 29*u - 57599 = 143569. Calculate the highest common divisor of u and 369.
9
Suppose -3382 = -4*b + 2754. Suppose 364 = -3*a + b. Calculate the highest common factor of a and 30.
30
Let n be (4 + 5)*-1*(-20 + 3). Suppose 26 = 2*x - 5*c, -6*x + 22 = -5*x + 2*c. Calculate the highest common divisor of x and n.
9
Let s be ((183/9 - 2) + -5)*3. Suppose -41 = -p - s. Let k(z) = -5*z**3. Let v be k(-1). What is the greatest common factor of p and v?
1
Let j(y) = -y**3 + 34*y**2 + 20*y + 125. Let c be j(34). Calculate the greatest common divisor of 161 and c.
161
Suppose 2*p = -3*s + 3149, 3*s + 4*p - 2948 = 191. Let u = -415947 + 415974. Calculate the greatest common divisor of s and u.
27
Let h = 0 + 6. Suppose -h*k + 24 = -2*k. Suppose -39 - 33 = -k*a. What is the greatest common divisor of a and 12?
12
Suppose 4*s - 14 = 5*d, 13*s + 3 = 10*s - 3*d. Let f be 1 + 2 + 2 + -2. Let j = 4 - f. What is the highest common factor of j and s?
1
Suppose 5*m - 344 = 446. Suppose -m*k = -160*k + 60. What is the greatest common divisor of k and 35?
5
Suppose 2*a - 3*f = 69, 5*f - 3*f - 162 = -4*a. Suppose 14*k - k - a = 0. Let j = 88 + -85. What is the greatest common divisor of k and j?
3
Let n = 2320 - 2296. Calculate the highest common divisor of 776 and n.
8
Suppose 14*o - 12 = 17*o. Let l = o + 7. Calculate the highest common factor of 4 and l.
1
Let n be -14*(-8)/((-80)/15). Let w be ((-35)/n - 5)/(2/(-87)). Let m be (-435)/10*4/(-3). Calculate the greatest common divisor of w and m.
29
Let s(t) = t**2 + 6*t + 5. Let a be s(-6). Suppose 0 = -12*u + a*u + 189. Let y = 123 - -12. What is the greatest common divisor of y and u?
27
Let m(b) = b**2 + 70*b - 4134. Let z be m(42). What is the greatest common factor of z and 2460?
30
Let u = -13445 - -13586. Calculate the greatest common divisor of 8319 and u.
141
Let s = -120 + 115. Let h be (2/s)/(-1)*10. Suppose 0 = -h*a, -3*q + 6*q - 5*a = 15. Calculate the highest common divisor of q and 40.
5
Suppose 8 = 4*j + c, -5*j - 7 = c - 18. Suppose -2*l = o - 469, j*o = l + 3*l - 913. Let x = l - 164. What is the greatest common divisor of x and 17?
17
Suppose -t = g, -t = -2*g - 6 - 3. Let h be t/(-7) - (-3753)/(-63). Let m = h + 82. What is the greatest common divisor of 22 and m?
22
Let y(v) = 2*v - 5. Let o be y(4). Suppose -o = 3*u - 15. Suppose 0 = u*f - 149 - 43. Calculate the highest common factor of 8 and f.
8
Let a be (-5)/(55/(-2)) + 22570/(-110). Let z = a + 220. Let x(u) = -2*u**3 - u**2 - 3*u - 3. Let t be x(-2). Calculate the greatest common factor of z and t.
15
Let o be ((-16)/(-14))/((-6504)/(-102438)). Let d = -2 - -3. Suppose -5*m = -x - 88, 0 = -x + 3 - d. What is the greatest common divisor of m and o?
18
Suppose -2*n + 158 = 5*j, -98*n - 2*j = -93*n - 395. What is the highest common divisor of 69836 and n?
79
Let d(s) be the first derivative of -s**4/4 + 32*s**3/3 + s**2/2 - 10*s + 3. Let u be d(32). Calculate the highest common divisor of u and 99.
11
Suppose 3*r - 1313 + 125 = 0. What is the highest common divisor of r and 612?
36
Suppose 15*p = -25*p + 5*p + 560. Let k be (1/(-4))/(13/(-104)). What is the greatest common divisor of p and k?
2
Suppose 0 = 3*f + 20 - 50. Suppose 4*u + 3*c = -25, 2*u + 3*c = -c - f. Let p be 11/((-308)/40)*u. Calculate the highest common factor of p and 70.
10
Let j = -7 - -10. Let s be (66 - 73)*1*(-4 + 2). Suppose u - 4 = -u, 2*b + 5*u = s. What is the greatest common divisor of b and j?
1
Let h be 4/(-12)*-68 - 22/33. Calculate the grea