 Let n(h) = 46*h**2 + 2*h + 1. Let q be n(g). What is the highest common divisor of q and 18?
9
Let i = -389 + 412. Suppose -3*k + 6*r + 473 = 4*r, -2*k - 5*r = -347. What is the highest common factor of i and k?
23
Let i = 109 - 102. Suppose 4*z = 5*z - i. What is the greatest common factor of z and 133?
7
Let a be (285/(-76))/(6/(-976)). Calculate the greatest common divisor of a and 20.
10
Suppose 11*i = 10*i - 5, 295 = 5*w + 6*i. What is the greatest common factor of w and 351?
13
Suppose -7*h + 2*h + 38 = -3*x, 0 = 2*h - 3*x - 17. Suppose 0 = -27*p + 143 + 1936. Calculate the greatest common divisor of p and h.
7
Let z(i) = 3*i**2 + 203*i - 1314. Let r be z(6). Let k be 3 - 1*-1*1. What is the highest common factor of r and k?
4
Suppose 4*w = 4*z - 36, z - 2*w = -0*z + 7. Let u = z + 28. Suppose 51 = 2*p - u. What is the highest common factor of p and 30?
15
Let h(g) = 41*g**3 - 78*g**3 + g**2 + 4 - g + 44*g**3. Let r be h(2). What is the greatest common factor of r and 434?
62
Let o = 3105 - 2575. What is the highest common divisor of o and 10?
10
Let w = 1074 - 954. What is the greatest common factor of 744 and w?
24
Suppose 5*r + 95 = 4*o + 50, 4*o = -3*r + 37. What is the greatest common factor of o and 90?
10
Suppose -h + 0*h = 0. Let m be h/((-8)/2) - -42. Calculate the highest common divisor of m and 63.
21
Suppose 0 = -4*j + j + 855. What is the highest common divisor of j and 75?
15
Let d = 898 - 834. Calculate the greatest common factor of d and 6.
2
Suppose 4*z - 5*z = 4*w + 96, -3*w = 0. Let q = -31 - z. Let j = 7 - -6. What is the highest common factor of j and q?
13
Let n = -32 - -16. Let v(c) = -c**2 - 15*c + 22. Let z be v(n). Let k be 426/9 - (-4)/z. Calculate the highest common divisor of k and 32.
16
Let u(j) = -16*j - 4. Let d be u(-1). Let i = 66 - 18. Calculate the greatest common factor of d and i.
12
Suppose 5*u - 5*y + 300 = -0*u, -2*u - 5*y - 92 = 0. Let l = 161 + u. What is the highest common factor of 21 and l?
21
Let w be (-18784)/(-288) - 5/(90/4). What is the greatest common factor of w and 52?
13
Suppose 0 = 4*m - 45 - 91. Let i be 2/(-5) + (-32)/10*-117. Calculate the highest common divisor of m and i.
34
Suppose -1 = d - 0. Let k be 0 - d - (-1 + 0). Suppose 0 = k*g - v - 165 + 26, -v = 4*g - 293. Calculate the highest common divisor of g and 9.
9
Let o(p) = -17*p - 6. Let u be o(-3). Suppose 0 = 7*m - 2*m - u. Suppose l + m = 39. Calculate the greatest common divisor of l and 12.
6
Suppose 0 = -3*z + 15 + 3. Let o = z - 4. Suppose -3*l + 3*n + 217 = o*l, 5*l + n = 221. What is the greatest common factor of 11 and l?
11
Let r(h) = 5*h**3 + 5*h**2 + 8*h - 6. Let j be r(3). Let l = j + -100. What is the highest common divisor of l and 14?
14
Suppose 4*w - 4 = 4. Suppose a - w = 0, 4*k - 2*k + 3*a = 62. Suppose -14 = -2*g + k. Calculate the highest common divisor of 7 and g.
7
Let r = 21 + -21. Let i(f) = -f**3 + f**2 + f + 10. Let s be i(r). Calculate the greatest common divisor of 4 and s.
2
Suppose -162 = -0*b - 6*b. Suppose 5*s - b = s + z, 2*z = 10. Suppose -5*w + 234 = 4*p, -p - p + 5*w + 102 = 0. What is the greatest common divisor of s and p?
8
Suppose -5*i + 130 = 30. Let x(m) be the first derivative of -m**4/4 + 3*m**3 + m**2/2 - 4*m - 24. Let z be x(9). What is the highest common divisor of z and i?
5
Let p be (12/(-16))/((-3)/36). Let r be (1 + p)*(-12)/(-24). Suppose -2*a + 94 = -2*c, r*a = 4*c + 112 + 121. What is the greatest common divisor of a and 9?
9
Suppose -2*u + 5 = 3*u, -2*b - 5*u + 159 = 0. Let x = b + -75. What is the highest common factor of 2 and x?
2
Suppose -5*n = -0*l + 4*l - 112, -l = -5*n + 122. Suppose g = -2*g + 792. What is the greatest common factor of n and g?
24
Let f = 51 - 45. Let d be ((-165)/20)/(f/(-32)). What is the highest common factor of 8 and d?
4
Let o be 61/4 - 2/8. Let n = -1044 + 1149. What is the greatest common divisor of o and n?
15
Let w(x) = -2*x. Let b be w(-1). Let a be 3/7 - -38*15/42. Let m be (a/(-35))/(-2 + (-49)/(-25)). Calculate the greatest common factor of m and b.
2
Let f(p) = 4*p**2 - 80*p + 370. Let q be f(5). What is the greatest common factor of 1190 and q?
70
Suppose 10*x - 238 = -18. Suppose 4*f + 32 = 120. Calculate the highest common divisor of x and f.
22
Suppose 3*i + b - 12 = 0, 2*i + 0*i - 3*b = 19. Let o(s) = -35*s. Let v be o(-1). Suppose 2*a - a = v. What is the greatest common factor of a and i?
5
Let x(p) = 32*p - 264. Let y be x(9). What is the highest common factor of y and 708?
12
Let g(d) = -28*d - 726. Let c be g(-27). What is the greatest common divisor of 1 and c?
1
Suppose -39*x - 471 = -42*x. Let d = -123 + x. What is the highest common divisor of d and 68?
34
Let j(v) = -v**3 - v**2 - 1. Let u be j(0). Let h be 0*((2 - 0) + u). Let o be (h - -19)/(5 - 4). What is the highest common divisor of o and 209?
19
Suppose 27*z - 7267 = 14*z. Calculate the greatest common factor of 65 and z.
13
Suppose -23*c - 2*c + 11250 = 0. Calculate the greatest common factor of 15 and c.
15
Suppose -3*p = -4*d + 1 + 2, 5*p + 10 = 5*d. Let l be (d*(-2)/3)/(-2). Let x = 4 + l. Calculate the greatest common divisor of 1 and x.
1
Let o = 358 - 266. What is the highest common divisor of o and 28?
4
Let g be (58/(-203))/(3/(-651)). What is the greatest common divisor of 682 and g?
62
Let o = 379 + -367. What is the highest common divisor of o and 60?
12
Let x(w) be the third derivative of 2*w**5/15 + 5*w**4/24 - w**3/3 + 17*w**2. Let q be x(2). What is the highest common divisor of 8 and q?
8
Suppose -11*c - 96 = -27*c. Calculate the highest common divisor of c and 225.
3
Suppose -3*c + a = -799, 3*a + 817 = 4*c - 255. Calculate the greatest common factor of c and 15.
5
Let d be (-3 + 2)*(3 + -3). Let v be (d + 14/7)/((-4)/(-154)). Calculate the highest common factor of v and 11.
11
Suppose d = 5*z - 2, 3*z - 18 = -2*d - 3*d. Let n be 3/(3/233) + z. Calculate the highest common factor of n and 26.
26
Suppose 21 = 7*i - 14. Suppose i*v = -5*a + 20, a = -2*v + 2*a + 17. What is the greatest common divisor of v and 7?
7
Suppose -11*j + 101 = -97. Calculate the greatest common divisor of 18 and j.
18
Let s(x) = -6*x**2 - 165*x + 33. Let y be s(-25). What is the highest common divisor of y and 24?
24
Let q = 18 - 11. Let f = q + -5. Suppose 0 = -f*g + 205 + 115. What is the greatest common factor of g and 20?
20
Let r(a) = 33*a**2 - 3*a - 2. Suppose 5 = -6*d - 1. Let z be r(d). Let q = -207 - -445. What is the highest common factor of z and q?
34
Suppose -2*w - 3*c + 3 = 0, 11 + 24 = -5*w + c. Suppose -3*z + 2*z = 6. Let y be z*(-1 + 21/w). Calculate the highest common factor of y and 3.
3
Let a be (78*6)/(13/26). Calculate the highest common divisor of 117 and a.
117
Let z(b) = -2*b**2 - 6*b. Let m be z(-4). Let r = 25 + m. Let l = r - 8. What is the greatest common factor of l and 27?
9
Let n = 275 + -255. Calculate the highest common divisor of n and 70.
10
Let h = 44 + -11. Calculate the highest common divisor of h and 275.
11
Let a be 41/4 + 2/(-8). Let j be (-1780)/(-50) - (8/a)/(-2). What is the highest common factor of j and 24?
12
Let c be 4/((-12)/21)*59. Let b = -270 - c. Suppose -b = -n + 10. What is the highest common divisor of n and 17?
17
Suppose -12*y + 32 = -10*y. Let v = 20 - y. Suppose -5*a - v*s + 2*s = -44, -5*s - 65 = -5*a. Calculate the highest common divisor of 15 and a.
5
Suppose 6*x - 5*r = 7*x - 85, 5*x - 4*r - 425 = 0. Let n = x - 55. Calculate the greatest common factor of n and 12.
6
Let z(g) = g**3 - 20*g**2 + 59*g + 2. Let p be z(3). What is the highest common factor of 13 and p?
13
Let m(p) = -10 - 12*p - 5 - p**2 + 3. Suppose 0 = -3*z - 13 - 17. Let n be m(z). Calculate the greatest common factor of 24 and n.
8
Let k = -52 - -87. Suppose -3*s = -m + 23, 7*m = 31*s - 27*s + 229. Calculate the highest common factor of k and m.
35
Let r be (4/6)/((-26)/(-117)) - 7. Let o be 3 - (-2)/((-2)/1)*r. What is the highest common factor of o and 7?
7
Let m(l) = 7*l + 147. Let s be m(-8). Calculate the highest common divisor of 26 and s.
13
Let l be (-4)/10 + (-64)/40. Let v(z) = -12*z**3 - 4*z**2 - 3*z - 2. Let r be v(l). Let p be 2/7 - (-870)/42. What is the highest common divisor of p and r?
21
Let i = -393 - -419. C