
Suppose -6*n - q + 38 = -4*n, -5*n + 95 = -4*q. What is the greatest common divisor of n and 209?
19
Suppose -5*y - 3 = -28. Suppose 3*p = -6, -2*k - y*p = -8*p - 90. What is the greatest common divisor of k and 18?
6
Suppose -p = -f + 11, p - 3 - 4 = -f. Suppose 2 = 2*g - g. Suppose l = f + g. What is the greatest common divisor of 110 and l?
11
Let z be 4 + (-19)/(152/(-368)). Calculate the highest common divisor of 90 and z.
10
Let k be 1/(1 - 3/(72/21)). Suppose -3*h = 4*a - 2*a + 9, -2*h - 5*a = 17. Let t be (-3)/1 + 42 - h. Calculate the highest common factor of k and t.
8
Suppose -5*r + 228 + 192 = 0. Let f = -26 + 41. Let t = f - -6. What is the greatest common factor of t and r?
21
Let m(j) = -2*j**3 - 5*j**2 - j - 4. Suppose 2*d + 4 = -6. Let x be m(d). Calculate the highest common divisor of x and 14.
14
Suppose 2*p - 27*p = -15950. Calculate the highest common factor of p and 44.
22
Let f = 270 + 205. What is the greatest common factor of 38 and f?
19
Let v(u) = -2*u**3 - 2*u**2 - 5*u - 10. Let h be v(-3). Suppose -h = -3*q + 7. Calculate the highest common divisor of 176 and q.
16
Let y = 643 - 587. What is the highest common divisor of y and 196?
28
Suppose 12 = 9*p - 33. What is the greatest common divisor of p and 110?
5
Suppose -6*b + 17 = l - 2*b, b - 3 = 0. Suppose 5*h - l*m = 90, 4*h - 2*m + m = 57. Calculate the greatest common divisor of h and 1.
1
Suppose 23 = 4*l - m, 4*l + m + m = 14. Suppose 9*i = 385 - 25. Calculate the greatest common factor of i and l.
5
Suppose -3*s + 0*s - a = 48, s - 5*a = -16. Let k = s - -23. Calculate the greatest common factor of k and 91.
7
Let u(i) be the first derivative of i**3/3 + 3*i**2 + 13*i + 1. Let c be u(-6). Calculate the highest common factor of 143 and c.
13
Let p be (10/6)/((-1)/(-3)). Let q be 1/4 + 940/16. Suppose -5*j - 3*c + q = -0*c, 7 = j - c. Calculate the highest common factor of p and j.
5
Let t be 15 + (-3 + -1 - 0). Suppose 4*d + 4*i = 3*d + 87, 2*d + i = 195. Calculate the highest common factor of t and d.
11
Let o be (2380/17)/14 + -5. Let z be 90*((-15)/(-6) - 2). What is the greatest common factor of z and o?
5
Suppose 0 = -13*z - 660 + 1141. Let p be 4/18 - (-664)/9. Calculate the greatest common factor of p and z.
37
Let g be 50*23/(345/9). Suppose -18 = -4*o + 6. What is the highest common factor of g and o?
6
Let f(i) = -9*i**2 + i + 7. Let u be f(-2). Let n be (38/(-8))/(2/8). Let m = n - u. What is the greatest common divisor of 84 and m?
12
Let u(f) = f**2 - 7*f + 8. Let h be u(8). Let w = 2 + h. Calculate the greatest common factor of 54 and w.
18
Let w = 20 + -2. Let r = w - 10. Calculate the greatest common divisor of r and 20.
4
Suppose 8*m - 20 = 44. Let b be 23/4 - (-2)/m. Suppose 0 = 3*d - 4*d + 9. What is the highest common factor of b and d?
3
Let b(k) = 15*k - 78. Let h be b(6). What is the greatest common divisor of 672 and h?
12
Suppose 0 = 4*p + 15 + 1, -5*p = -3*u + 128. Calculate the greatest common divisor of u and 18.
18
Suppose 2*t = i - 12, 3*i = -t - 0*t + 1. Let v be (i/(-4))/(1/(-72)). Calculate the greatest common divisor of v and 288.
36
Let h be 45*(-2)/18*-3. Suppose h = 3*b + 2*b. Suppose b*i + 78 = a, -i + 2*i = -5*a + 326. Calculate the highest common factor of a and 11.
11
Let b be (-54 + 0)/(3/(-84)). Suppose -b = -22*u + 15*u. What is the greatest common factor of u and 27?
27
Let w(v) = 15*v - 81. Let d be w(6). Let b(y) = -8*y - 4 + 0 + 3 + y. Let l be b(-1). Calculate the highest common factor of l and d.
3
Let s = 115 - 91. Suppose -4*a + 24 = -s. What is the highest common divisor of 156 and a?
12
Let s(p) = p**3 - 4*p**2 - 8*p + 1. Let n be s(6). Let d be 1*(-8)/(2*(-1)/(-2)). Let a be (-180)/48*d/6. What is the highest common factor of n and a?
5
Let t = 11 + -8. Let k = 180 - 54. Suppose -k = -6*r - 0*r. Calculate the highest common divisor of t and r.
3
Let v(q) = q - 8. Let c be (2 + (-2 - -3))*-1. Let n(u) = -5*u - 3. Let i be n(c). Let p be v(i). Calculate the greatest common divisor of 6 and p.
2
Suppose -v + 0*v = -4. Suppose m = 3*m - v*k - 40, -2*m + 58 = 2*k. Let d(u) = 13*u. Let w be d(3). Calculate the highest common divisor of m and w.
13
Let g(k) = -68*k - 280. Let d be g(-5). Calculate the greatest common divisor of 96 and d.
12
Let k = 15 - 6. Let o(g) = g**2 - 8*g + 6. Let p be o(k). What is the highest common divisor of p and 135?
15
Suppose 5050 = -s + 6*s. Let f be 2/(-12) + s/12. Calculate the greatest common factor of 12 and f.
12
Suppose -3*q + q = 3*w - 12, 4*q - 24 = 3*w. Let v = 34 + -19. What is the greatest common divisor of q and v?
3
Suppose 3*m + 2*p = 299, -498 = -3*m - 2*m - 3*p. Let q = 77 - 55. Calculate the greatest common factor of m and q.
11
Let s(y) = 3*y**2 + 5*y + 5. Suppose 3*c - 19 = 5*b - 0, 0 = -3*c + 4*b + 14. Let m be s(c). Let i = -32 - -53. What is the greatest common divisor of i and m?
7
Suppose -21*i + 4674 - 1440 = 0. What is the highest common divisor of 33 and i?
11
Let a(s) = 2*s**2 + 13*s - 97. Let i be a(6). Calculate the highest common factor of i and 53.
53
Suppose 4*o - 15 = 9. Suppose -o*p = -0*p - 144. What is the highest common factor of 96 and p?
24
Suppose 0*q + q = -26. Let a = 16 + q. Let l = 17 + a. Calculate the greatest common factor of 35 and l.
7
Suppose -5*w - 3*x = 4, -4*w - 4*x - 3 = 5. Let l be 3/w + -3 - 0. Let c(m) = m**2 - m + 16. Let n be c(l). Calculate the greatest common factor of 8 and n.
8
Suppose 15*s + 281 = 1871. What is the highest common divisor of 6 and s?
2
Let x(s) = -s**2 + 8*s + 8. Let m be x(8). Let g be m + -1 - 1 - 3. Suppose -g*o + 6 + 39 = 0. Calculate the greatest common divisor of o and 15.
15
Suppose 4*i = 3*v + 815, 0 = i - 6*i + 5*v + 1020. Let u = i - 152. Calculate the greatest common divisor of u and 357.
51
Suppose -17*g + 37 + 14 = 0. Suppose -q = g*q - 144. Calculate the highest common divisor of q and 72.
36
Let l = 99 - 3. Suppose 0 = -11*d + 5*d + l. Let j(h) = h**3 - 4*h**2 + 2*h - 6. Let k be j(4). What is the greatest common divisor of d and k?
2
Suppose 4*h = 1 + 3. Let q be (-2)/((-8)/(-12)) - h. Let d be 1/(-2) - 38/q. Calculate the greatest common factor of 6 and d.
3
Suppose 0 = 7*f - 8*f + 63. Suppose -3*k = 3*d - f, -4*d = -k - k - 84. What is the greatest common divisor of 14 and d?
7
Suppose 4*l - j - 4*j - 5 = 0, -9 = -3*l + 2*j. Calculate the highest common divisor of 5 and l.
5
Suppose 10*k + 114 = 29*k. What is the greatest common factor of 104 and k?
2
Let k(c) = -5*c - 1. Let z be k(-2). Let n be ((-156)/30 - -7)/(0 - 3/(-20)). What is the greatest common divisor of n and z?
3
Let p = -1434 + 1473. Suppose -70 = -3*l + 8. What is the highest common divisor of p and l?
13
Suppose -6*d + 1860 = -4*d - 2*u, 5*u = -d + 936. Calculate the highest common divisor of 196 and d.
49
Let g be 7/(14/142) + (3 - 2). Calculate the greatest common divisor of 96 and g.
24
Let c(s) = 14*s + 8. Let r be c(2). Suppose -5*m + r + 14 = 0. Suppose 5*t = 87 + 163. What is the highest common factor of t and m?
10
Let u(c) = c**3 - 3*c**2 - 5*c + 7. Let g be u(4). Suppose -5*y = -g*y + 4*o - 8, 2*y = -5*o + 8. What is the greatest common factor of y and 20?
4
Let n(d) = d + 16. Let p be n(-7). Suppose -11 = -5*h + 14. Suppose 8*f = h*f + 3. Calculate the greatest common divisor of p and f.
1
Suppose 82 = -m - 3*p + 286, 3*m + 5*p = 612. Suppose 0*k - 988 = -5*w - k, 3*k + m = w. What is the highest common factor of w and 18?
18
Suppose 3*l - 19 = 62. Suppose b + 5*f = 32, 16 + l = 4*b + 3*f. Let y(g) = -3*g. Let x be y(-7). Calculate the greatest common divisor of x and b.
7
Let f be 36/(-6) + 78 + -3. What is the greatest common factor of 253 and f?
23
Suppose 3*i = -4 - 8. Let o be 25/((18/i)/(-9)). Let z = 21 - 11. Calculate the greatest common divisor of o and z.
10
Let i be ((-61)/(-4))/((-5)/(-20)). What is the highest common factor of i and 122?
61
Suppose 0 = 26*n - 1319 - 397. What is the highest common factor of n and 704?
22
Let z be (0 - 3) + 2 + 0. Let w(t) = -t. Let d(f) = 15*f - 2. Let q(a) = z*d(a) - 4*w(a). Let m be q(-2). Calculate the highest common factor of m and 36.
12
Let k be (-14)/(-273) + 4660/390. What is the greatest common divisor of k and 38?
2
Let y be 132/(-220) + (-916)/(