1. Calculate the greatest common divisor of y and 16.
16
Let a = -5 - -2. Let b(h) be the third derivative of h**5/30 + h**4/12 - 5*h**3/6 + 60*h**2. Let w be b(a). What is the greatest common factor of w and 28?
7
Let b be -2 + 254 + -4 + (-12 - -4). Calculate the highest common factor of b and 90.
30
Let k(z) = -z**2 - 57*z - 582. Let b be k(-19). What is the highest common factor of 8155 and b?
35
Let w be ((-1910700)/33)/(-25)*(-1 + 3). What is the highest common divisor of w and 60?
12
Let s(q) = -q**2 + 6*q - 18. Let f be s(16). Let t = -126 - f. What is the highest common divisor of t and 234?
26
Suppose 0*b + 82 = b. Suppose -703*z = -1055*z + 2816. What is the greatest common divisor of z and b?
2
Let j(k) = -12*k**3 - 67*k**2 + 18*k + 26. Let q be j(-6). Calculate the highest common divisor of 441 and q.
49
Let n = 5935 - 5871. Let o = 11 - 6. Let b = o + 3. Calculate the highest common divisor of b and n.
8
Let i(j) = 4*j - 2. Let k be i(4). Let m(l) = 7*l + 392. Let b be m(-38). Calculate the greatest common divisor of b and k.
14
Let x be (-70)/(-10)*((-3009)/(-357) + -11 + 2 - -5). Let r be 2/3 + (-7250)/(-6). What is the highest common factor of r and x?
31
Suppose -2218 + 697 = -13*s. Calculate the greatest common divisor of 52 and s.
13
Let f be ((3 + -4)*53)/((-4)/148). What is the highest common divisor of f and 53?
53
Let g be (18/(126/(-3325)))/(1/(-10)). What is the greatest common divisor of g and 76?
38
Suppose 130 = 34*u - 29*u - 5*d, d = -2*u + 58. Calculate the greatest common divisor of 98 and u.
14
Suppose h - 23 = 22. Let u be (-30)/((-52)/(-60) - 1). Calculate the highest common divisor of h and u.
45
Let z(d) = 6*d + d**3 + 18*d**2 + 13 - 2*d**3 + 0*d. Suppose -123*o + 115*o = -144. Let r be z(o). What is the greatest common factor of 11 and r?
11
Suppose 3147 + 1101 = 6*g. Let t = g - 684. Suppose -5*c = 3*a - 309, -2*a + 29 + 37 = c. Calculate the greatest common factor of c and t.
12
Suppose -12*v = -7*v - 25, -2*d + 4964 = -4*v. Calculate the greatest common divisor of d and 28.
28
Let x be 3/(-6)*(28/(-4) - 3). Let w be (-2 - -8 - x)/((-2)/(-34)). Let r(h) = -33*h + 5. Let a be r(-5). Calculate the greatest common divisor of a and w.
17
Suppose t - 37 - 125 = 0. Suppose -68*b + 1430 = -73*b. Let n = b + 304. What is the highest common divisor of n and t?
18
Suppose -3*u - 5 = -2*u + 5*x, 3*u + 4*x = 29. Let l = -125981 + 125984. What is the greatest common factor of l and u?
3
Let f be (15 - -392) + (-4)/((-8)/(-6)). Let d = -52 + f. Calculate the greatest common factor of 22 and d.
22
Let l(r) = -2*r - 10. Let c = 56 - 63. Let u be l(c). Suppose -u*h + 220 = -5*w + 4*w, h - 5*w = 55. What is the highest common divisor of 5 and h?
5
Let p be -1*(-4 - 15/(-6))*36. Let g be 158/3 - (-72)/p. What is the highest common factor of 24 and g?
6
Let u(m) = -m**2 + 65*m - 640. Let a be u(52). Calculate the highest common divisor of a and 508.
4
Let p(i) = 231*i**2 - 34*i - 187. Let c be p(-6). What is the greatest common factor of c and 39?
13
Let t be 4/(-34) + 1 + 3308430/510. Calculate the greatest common factor of t and 8.
8
Let g(p) = -5*p**2 + 25*p + 3. Let q be g(5). Suppose 5*y = -q*u + 130, -u + 4*y = y - 34. What is the greatest common factor of 5 and u?
5
Let g be ((-6)/(-3))/((-1)/(-28)). Suppose -v + 79 = 4*a, -v + 16 = -0*a + a. Let y be (-4)/(15/a + -1). What is the greatest common factor of y and g?
14
Let i be ((114/(-10))/1)/(114/(-2090)). Calculate the greatest common factor of i and 475.
19
Let q(o) = -64*o**2 - o + 4. Let d be q(-2). Let r = 259 + d. What is the greatest common divisor of r and 45?
9
Suppose -913 = 10*k - 1233. Let s be 1 - 2*(1 - 0). Let l be -3 - -51 - (s + 1). Calculate the greatest common factor of l and k.
16
Suppose 3*b - 4*g = 1430, 14*b + g - 2345 = 9*b. Suppose -b - 594 = -4*t. Calculate the greatest common divisor of t and 28.
14
Suppose -11*s = -4*s + 840. Let f = -115 - s. Calculate the highest common divisor of f and 65.
5
Let d(u) = 55*u**2 + 10*u - 21. Let p be d(3). Let m = -502 + p. What is the greatest common factor of 16 and m?
2
Let t = -5842 + 6508. Calculate the greatest common divisor of t and 261.
9
Let l be (17259/(-1046))/(-1*(-1)/(-2)). Calculate the greatest common divisor of 471 and l.
3
Let h = -102 - -69. Let m be -5 + (-819)/h - 4/(-22). Let c = m - -5. What is the highest common divisor of c and 5?
5
Suppose i + 4*a + 86 = 0, 3*i + 0*i - 2*a + 230 = 0. Let n be (i + 6)/(-6) - 3. What is the highest common divisor of n and 9?
9
Suppose -180*t + 175*t + 3060 = 0. Let n = t - 608. What is the greatest common divisor of n and 112?
4
Let z(u) = -2*u. Let m be z(-6). Suppose -5*p + 4*t = m, 3*t + 0*t = 2*p + 9. Suppose p*g - g = -16. Calculate the highest common divisor of g and 80.
16
Let t = 11361 - 11195. What is the highest common factor of 7138 and t?
166
Suppose -4*j - 288 = -g + 2*j, -5*j = 5*g - 1510. What is the greatest common factor of g and 375?
75
Suppose -3*d = -s + 190, 258 + 120 = 2*s - 4*d. Let q = 260 - 266. Let r be q + 8 - -9*4/4. What is the highest common divisor of s and r?
11
Suppose 0 = t + g + 109, -t - 5*g - 139 = -10*g. Let a = 335 + t. Calculate the greatest common divisor of 104 and a.
13
Let r(n) = n**2 - n - 26. Let c be r(7). Suppose -30*l - 128 = -31*l. What is the greatest common factor of l and c?
16
Let g(l) = -5 + 2 + 15 + l + 4. Let k be g(10). Let n = k + -18. What is the highest common factor of n and 88?
8
Let a(m) = 5*m**2 - 43*m + 40. Let i be a(8). Let z(j) = j**3 + 8*j**2 - 16*j + 1. Let p be z(-9). Calculate the highest common divisor of i and p.
16
Let v = 265 - -5. Suppose 0 = -d - 9*d + v. Calculate the greatest common divisor of d and 54.
27
Suppose -4*x = -4*n - 8, -x + 2*n + 10 = -5*x. Let l(z) = 24*z + 3. Let j be l(x). Let f = j + 22. Calculate the greatest common divisor of 2 and f.
1
Let j(m) = -m**3 - 32*m**2 - 33*m - 27. Suppose 0 = 36*v - 46*v - 310. Let b be j(v). Calculate the highest common factor of 20 and b.
5
Let y(n) = 212*n**2 + 3*n. Let u be y(-1). Suppose 11*f - 121 - u = 0. What is the highest common divisor of 90 and f?
30
Let w be (-5 - -6) + 70 - -5. Suppose -w*r + 105 = -61*r. Suppose 5*l - 18 = -2*q + 25, -5*q + 20 = 0. Calculate the highest common factor of r and l.
7
Let j(f) = -f**2 - 15*f + 9. Suppose 4*d + 4*k = -64, -4*d = -2*k + 77 - 31. Let t be j(d). Calculate the greatest common divisor of 7 and t.
7
Let v be 4/(-18) - (-3036)/54. Let d = 35928 - 35912. What is the greatest common divisor of d and v?
8
Suppose -9*r + 5848 = 71*r + 56*r. What is the greatest common divisor of 1 and r?
1
Let n be ((-1)/1 + 1)/(17 + -18). Suppose n = -0*b - b + 132. Suppose 2*m = i + 52, 5*i - b = -3*m - m. Calculate the greatest common factor of m and 28.
28
Let m be ((-45)/3)/(-5) - -8. Suppose -m*g = -g - 70. Suppose i - 5 = 3*t - g, -4*t + 1 = -3*i. Calculate the greatest common divisor of t and 25.
1
Let x be -16*(-5 - 104/(-24))*9. Calculate the highest common divisor of 2832 and x.
48
Suppose -2318*d + 18954 = -2309*d. What is the greatest common factor of d and 26?
26
Let g(q) = -q**3 - 2*q**2 + 9*q + 155. Suppose 0 = -2*v - 4*k - 20, 2*v + 4*k = 5*v - 20. Let h be g(v). What is the greatest common divisor of h and 124?
31
Let w(a) = -a**2 - 403*a + 89. Let o be w(0). What is the highest common factor of 10146 and o?
89
Let d(b) = -4*b + 9*b - 3*b. Let x be d(3). Let u(z) = 1722*z - 3432. Let w be u(2). What is the highest common divisor of x and w?
6
Let d(p) = -2*p**2 + 16*p - 19. Let q be d(6). Let i(b) = 26*b - 79. Let u be i(q). Calculate the greatest common divisor of 17 and u.
17
Let y(j) = j**3 + 3*j**2 + 31*j - 65. Let p be y(13). What is the greatest common divisor of 36 and p?
18
Let m be ((4/12)/(-1))/((-4)/48). Suppose m*d + u + 0*u = -1, 0 = -5*d - u. What is the greatest common factor of d and 9?
1
Let v = 148 + -142. Suppose 2*q - 28 = 3*x, -3*x = -v*x - 12. Suppose -4*h + 58 + 6 = 0. Calculate the highest common factor of q and h.
8
Suppose -27*s + 4862 = -403. What is the greatest common factor of 2080 and s?
65
Suppose -2 = 2*l - o, -2*o + 7 - 3 = 3*l. Let v be 7 - (3 + l) - 2. Suppose -4*z + 18 = -v*z. Calculate the highest common divisor of 18 and z.
9
Su