 Suppose t*m - 6*m + 8 = s, -2*m + 2*s = 0. Calculate the highest common divisor of m and 8.
2
Let c be (110/(-30) + 7)/(3/9). Calculate the greatest common divisor of c and 15.
5
Let r be 97 - (1/(-4) + 0)/((-53)/(-212)). Let d(g) = 3*g - 7. Let w be d(7). What is the highest common divisor of w and r?
14
Suppose 2*p - 2*m + 22 = 0, -2*m - 34 = 2*p - 4. Let z(a) = a + 9. Let j be z(p). Let i = j + 12. Calculate the greatest common factor of 2 and i.
2
Let s(c) = -6*c + 12. Let p be s(-7). Calculate the highest common factor of p and 12.
6
Suppose 0 = i - 4 - 2. Suppose 0 = -n - 3, -i*w + 2*w + 5*n = -247. Let m = 47 + w. Calculate the greatest common factor of m and 15.
15
Let g = -1157 + 1164. What is the greatest common factor of 672 and g?
7
Let g(c) = -c**3 - 6*c**2 + 8*c - 10. Let v be g(-7). Let p = -97 + 48. Let d = v - p. What is the highest common divisor of d and 48?
16
Let r be (-72)/(-5)*(45/10 - -3). Suppose 102 = 5*a - r. What is the greatest common factor of 70 and a?
14
Suppose 54*l + 546 = 145*l. Calculate the greatest common divisor of 38 and l.
2
Let o = 143 - 101. Let h(j) = 37*j - 83. Let r be h(3). Calculate the highest common divisor of o and r.
14
Suppose -3*x = o - 0*o - 31, -2*x + 4*o = -16. Let t be 10/(2 + 19/(-10)). Calculate the highest common divisor of t and x.
10
Let q(z) = -z**3 - 10*z**2 + 26*z + 63. Let l be q(-12). What is the greatest common divisor of l and 507?
39
Let u be 4 + -4 - (-1 - 7). Suppose u*k - 7*k = 26. Calculate the greatest common factor of 234 and k.
26
Let q(m) = m**2 + 7*m + 58. Let j be q(-13). Calculate the highest common factor of j and 102.
34
Suppose 2*i - 5*p - 8085 = 0, 2*i + 16*p - 20*p = 8080. Calculate the highest common divisor of i and 130.
130
Let o(p) = -18*p - 18. Let k be o(-2). Calculate the greatest common divisor of k and 270.
18
Let p(y) = -y**2 + 19*y - 6. Let h be p(18). Let c be (18/h - -2)*4. What is the greatest common divisor of c and 238?
14
Let n(w) = 2*w - 14. Let v be n(9). Suppose -6*h = -h + 4*j - 25, -2*h - 2 = v*j. Let u = 189 + -90. Calculate the highest common divisor of h and u.
9
Let l = -2 + 4. Let i = -32 + 42. What is the highest common factor of l and i?
2
Suppose 9 = 3*r, 4*f + r - 147 = -0*f. Calculate the highest common factor of f and 2556.
36
Let c(g) = 2*g**2 + 8*g + 2. Let a be (-4)/2 - (0 - 17). Suppose 4*o + a = -9. Let v be c(o). What is the highest common factor of 65 and v?
13
Suppose -5 = -3*z + 1. Suppose b - 2 = z*w, w + 4 = -b - 0*b. Let c be 23 - ((-4)/(-2))/w. Calculate the highest common factor of c and 16.
8
Let i(m) = -m**3 + 19*m**2 - 18*m + 13. Suppose u = 3*u - 36. Let b be i(u). What is the highest common factor of 104 and b?
13
Let a be ((-36)/(-21))/((-11)/((-10164)/8)). What is the greatest common factor of a and 22?
22
Let a(j) = j**3 + 42*j**2 - 41*j + 92. Let p be a(-43). Calculate the greatest common divisor of 24 and p.
6
Let c = -1384 + 1791. Calculate the greatest common factor of c and 22.
11
Let h = -23 - -28. Suppose -h*n + 4 = -1. Let m be -18*(32/(-12))/n. Calculate the highest common divisor of 12 and m.
12
Let d(t) = t - 14. Let q be d(17). Let l = 10 + -10. Suppose -3*k = 5*p - 141, -5*p = -l*p + 4*k - 143. Calculate the highest common divisor of q and p.
3
Let r = 39 - 25. Suppose -4*b + 28 = -5*t, -3*b + 15 + 6 = -3*t. Calculate the highest common factor of b and r.
7
Let s be (16/(-20))/(4/(-10)). Suppose -s*b + 2 = -2. Let k(q) = -23*q + 6. Let h be k(0). Calculate the highest common divisor of b and h.
2
Let x(h) = -h**3 + 31*h**2 - 3*h + 100. Let g be x(31). What is the greatest common divisor of g and 259?
7
Suppose 2*y = -5*a + 3*y + 4, -4*a + 8 = -2*y. Suppose -2*f + 14*f - 72 = a. What is the highest common divisor of f and 78?
6
Let b be -3 - (4 + -51) - 6. Calculate the highest common factor of b and 38.
38
Let w = 109 - 81. Suppose 3 = 3*j, 4*q + 3*j + w = 5*q. What is the greatest common divisor of 31 and q?
31
Suppose 0 = -2*z - 2*j + 434 + 140, 2*z - 578 = 2*j. What is the greatest common divisor of 36 and z?
36
Suppose -p = -3*m + 500, 5 = -m + 2*p + 165. Let z = 8 - 6. Suppose 0*o = -z*o + m. Calculate the greatest common divisor of o and 12.
12
Suppose -39*a + 49*a - 3680 = 0. Calculate the greatest common factor of a and 16.
16
Let g = 268 - 545. Let y = 431 + g. Calculate the highest common divisor of 14 and y.
14
Let s be (-2)/8 + (-12389)/(-52). Calculate the greatest common divisor of s and 34.
34
Suppose 0 = -s, -7*t + 755 = -2*t + 4*s. Suppose 5*b - t - 114 = 0. Suppose 2*h = 5*x - 3 - 227, -b = -x - h. Calculate the highest common divisor of 6 and x.
6
Suppose 0 = 2*u, -5*s - 2*u + 6*u = -425. What is the highest common divisor of 5 and s?
5
Suppose 0 = 5*k - 6*k + 20. Suppose -k = -u - 4*u. Suppose 0 = 3*s + s - 2*x - 186, -4*s = -x - 181. Calculate the highest common divisor of u and s.
4
Let m(u) = u**3 + 7*u**2 + 8*u + 14. Let c be m(-6). Suppose 14 = c*r + 4. Calculate the highest common divisor of 40 and r.
5
Suppose -2*n = -10 + 2. Suppose 3*a + 100 = -n*h, -3*a + 31 - 153 = 5*h. Let i = 10 - h. What is the highest common divisor of i and 224?
32
Suppose -7 = -r - 0. Suppose -r*x + 28 = -280. Let v = 191 + -81. What is the greatest common factor of x and v?
22
Let a(o) = -o**2 - 3*o + 8. Let r be ((-4)/4)/(3/12). Let z be a(r). Let k be 6*z/(-8) + 157. Calculate the greatest common divisor of k and 14.
14
Suppose 47 = -4*m + 263. Suppose -5*c - 299 = -4*r, 5*r + 3*c = 2*r + 258. What is the highest common factor of r and m?
27
Suppose 26 = d - 58. Let w be 8/60*3 + 416/10. What is the greatest common factor of w and d?
42
Let k be ((-25)/5 - 293)/(4/2). Let o = -125 - k. What is the highest common factor of 12 and o?
12
Let p = 963 - 956. Let v(n) = n**3 + 4*n**2 - 3*n - 5. Let z be v(-4). What is the greatest common divisor of z and p?
7
Let i = 1 + 1. Let o = 10 - 7. Let m be o*(-5)/45*-6. What is the highest common divisor of m and i?
2
Let a(u) = 2*u**2 - 12*u + 25. Suppose -3*k - l = -24, 5*k - k - 25 = l. Let d be a(k). Calculate the highest common divisor of 52 and d.
13
Let g = 509 - 461. Calculate the highest common divisor of 78 and g.
6
Let o(c) = -c**2 + c. Let a(h) = h**3 - 10*h**2 + 10*h - 5. Let t(j) = -a(j) + 6*o(j). Let w be t(3). Calculate the greatest common factor of 5 and w.
1
Suppose -5*v - 1 = -201. Let z(j) = 3*j + 6. Let a be z(9). Let d be a/7 - (-12)/42. Calculate the greatest common divisor of v and d.
5
Suppose 2 = -r + 2*r. Suppose 154 = r*o - 22. Suppose -m + 11 = -x, -m + 0*m + 5*x = -23. Calculate the highest common factor of m and o.
8
Let b be (-12)/(-36) - (-8474)/3. Calculate the greatest common divisor of b and 25.
25
Let w(r) = -22*r - 1. Let b be w(-4). Let j be b - ((-2 - -6) + -4). Calculate the greatest common factor of 58 and j.
29
Let z = 70 + -73. Let h(r) = 2*r**2 + 7. Let u be h(z). What is the highest common factor of 5 and u?
5
Let t be ((-264)/30 + (-1)/(-1))*-20. Calculate the highest common factor of t and 36.
12
Suppose -4*s - 7 + 3 = 0. Let o be s*(6 + -12 - (-8)/2). What is the greatest common divisor of 10 and o?
2
Suppose 15*r - 112 = 263. What is the greatest common divisor of 425 and r?
25
Let h(g) = g**3 + 25*g**2 + 44*g - 8. Let l be h(-23). What is the highest common factor of l and 76?
38
Let r = -51 + 91. Let o = -1914 - -1930. Calculate the greatest common factor of r and o.
8
Let h = 139 + -69. Suppose 2*i - 454 = -104. Calculate the greatest common factor of i and h.
35
Suppose 3*a - 15 = -3*q + 60, 0 = 2*q + 4*a - 58. Calculate the highest common factor of 21 and q.
21
Suppose 555 = 10*j + 155. Suppose -36 - 12 = -3*d. Calculate the highest common factor of j and d.
8
Let h(u) = 7*u - 22. Let g be h(9). Let a = g + -20. What is the highest common divisor of 189 and a?
21
Suppose 0 = -s + 1, -5*s + 2 + 75 = 2*d. Let j = d + -34. Suppose -44 = 4*c - 108. Calculate the greatest common factor of c and j.
2
Suppose 33*w - 18867 = 12615. What is the highest common factor of 36 and w?
18
Let q(c) be the third derivative of -c**6/120 + c**5/10 + c**4/6 - 4*c**3/3 - 13*c**2. Let b be q(6). What is the highest common factor of b and 128?
16
Let c = 433 + -160. What is the greatest common divisor of c and 21