
Let y = 22 + -20. Let f(i) = i**y - i + 0*i**2 + 9*i - 9. Let a be f(6). What is the greatest common divisor of a and 15?
15
Let p(n) = 2*n**2 - 8*n - 2. Let l be p(6). Let k(i) = 3*i**2 - 195*i - 44. Let v be k(66). Calculate the highest common divisor of l and v.
22
Let l(x) = -x**2 - 6*x + 11. Let n(z) = -5*z**2 + z - 1. Let a be n(1). Let c be l(a). What is the highest common factor of 112 and c?
16
Let y(m) be the second derivative of -1/3*m**3 + 2*m + 1/12*m**4 + 0 - 5/2*m**2. Let p be y(5). Calculate the highest common divisor of p and 70.
10
Let s(u) = u + 5. Let y(m) = -6. Let v(f) = 5*s(f) + 6*y(f). Suppose -18*a = -53*a + 245. Let o be v(a). Calculate the highest common divisor of o and 36.
12
Let m be ((-1824)/(-120))/(0 + (-4)/(-10)). What is the greatest common divisor of 152 and m?
38
Let a = 130 + -241. Let u = -12 - a. Suppose 2*f + c - 18 = 0, -2*f + 11 = -c - 15. What is the highest common divisor of u and f?
11
Let w = -191 + 303. Calculate the highest common divisor of 7 and w.
7
Suppose 0 = -5*c - 20, 2*u - 6*c - 32 = -3*c. What is the greatest common divisor of u and 430?
10
Let z(m) = m**2 + 9*m - 396. Let x be z(-25). Let u(y) = 2*y**2 - 3*y. Let o be u(-4). Calculate the greatest common factor of o and x.
4
Let d be 2 + 4 + (-3 - 0). Suppose -73 = -o + 6*o - i, 0 = d*o + 2*i + 36. Let f be (3 + -2)/((-2)/o). What is the greatest common divisor of f and 1?
1
Let s = 405 + -35. Calculate the greatest common factor of s and 222.
74
Let a(w) = w**3 - 15*w**2 - 92*w + 13. Let i be a(22). Calculate the highest common divisor of 162 and i.
81
Let c = -24 - -32. Let i be (-10314)/14 + c/(-28). Let y be 4 + -2 - i/11. Calculate the greatest common factor of y and 46.
23
Suppose -8*n + 71 + 257 = 0. Calculate the highest common divisor of 123 and n.
41
Let v(l) = 6*l + 8. Let s be v(8). Suppose -59 = -35*y + 186. What is the highest common divisor of y and s?
7
Let i be 4*(-2)/(-16)*2. Suppose 6*h - 58 = 3*h + 5*f, -4 = 2*f. Let v = 17 - h. What is the highest common divisor of i and v?
1
Let t(n) = -n**3 + 7*n**2 - 3*n - 4. Let y be t(4). What is the highest common factor of y and 304?
16
Let j = 317 + -302. What is the greatest common factor of j and 1005?
15
Let j = -63 + 89. Suppose -u + 5*y + 172 = 0, -3*u - 4*y = -u - 372. What is the highest common divisor of u and j?
26
Let x be (-4)/(-26) + (-1051)/(-13). Suppose 5*y - 2*o - 4 - 19 = 0, -y + o + 7 = 0. What is the highest common factor of x and y?
3
Suppose 19 = 3*k + w + 5, -5*k - 3*w = -30. Let o be 110/4 + 1/(-2). What is the highest common factor of o and k?
3
Let l = -2 + 7. Suppose c - 2*o + 21 = -0*c, 25 = l*o. Let n = 22 + c. What is the greatest common divisor of 121 and n?
11
Let f(a) = -5*a + 4. Let h be f(-4). Suppose 38*k - 39*k + 45 = 0. Let w be (2 - -1)*120/k. Calculate the greatest common divisor of w and h.
8
Suppose 5*x + 20 + 5 = 0, 0 = 3*i - 3*x - 240. Let k be (1*(-12)/(-18))/(2/i). What is the highest common divisor of k and 125?
25
Let r = -11 + 15. Suppose 3*h - w - 8 = 0, 6*h + 2*w - 6 = h. Suppose 16 = -h*x - 4*q, -4*x + 5*x + 18 = -r*q. What is the greatest common factor of 12 and x?
2
Let b be (-9)/36 - 137/(-4). Suppose 102 = 5*f + 3*j, 4*j - b = -f - 0*j. What is the greatest common factor of f and 2?
2
Let r(t) be the third derivative of t**4/24 - 5*t**3/2 + 13*t**2. Let d be r(17). Suppose 18 + 36 = 3*a. What is the greatest common factor of d and a?
2
Let g = -35 - -32. Let j be ((-14)/(-4))/(g + (-335)/(-110)). Calculate the greatest common divisor of j and 11.
11
Suppose -15 = 2*t - 5*t. Calculate the highest common divisor of 80 and t.
5
Let l be (0 + -1)*-4 - 6. Let j be l/1 + 510/5. What is the greatest common divisor of j and 25?
25
Suppose 0 = 10*k + 31*k + 248 - 4430. Let b(x) = -x**3 - x**2 + 5*x + 3. Let n be b(-3). What is the greatest common divisor of n and k?
6
Let h(z) = z**3 - 4*z**2 - 5*z - 2. Let m(g) = -g**2 - 3*g + 6. Let u be m(-3). Let p be h(u). What is the greatest common factor of 8 and p?
8
Let f be -5 + 20 - ((-10)/(-5) + 1). What is the highest common factor of f and 708?
12
Let y(c) = c**3 + 10*c**2 + 12*c + 12. Let t be y(-8). What is the greatest common divisor of t and 16?
4
Suppose 19 = g - 209. Let a = 227 + g. Suppose -f = 4*f - a. What is the greatest common divisor of 13 and f?
13
Let m(p) = -32*p + 196. Let k be m(4). What is the greatest common factor of 646 and k?
34
Suppose -3*r = -29 - 13. Suppose -21 = -6*f + 33. Let b = r + f. What is the highest common divisor of b and 207?
23
Suppose 11*a - 6*a = 160. Let c be (a/3)/(-1 + 15/9). What is the greatest common factor of c and 48?
16
Let g be 0/2 - (-16 + 7). Let i be (-114)/(-12) + (-1)/(-2). Let u(v) = v**3 - 10*v**2 + v - 9. Let w be u(i). What is the highest common factor of w and g?
1
Let a be (2 - -205) + 1*4 + 1. Calculate the highest common divisor of 53 and a.
53
Let k = 50 - 25. Suppose -q = -39 + k. Calculate the highest common factor of q and 42.
14
Suppose -3*f + 45 = -0*f. Let w be (-45)/(-27)*(99 - 0). What is the highest common factor of w and f?
15
Let n be (-40)/(11 + -19) + 0 + 4. Suppose -4*p + 7 - 87 = -3*q, 70 = 4*q + 2*p. Let i be (16/q)/(3/270). What is the greatest common factor of i and n?
9
Let i = 326 - 311. Calculate the highest common divisor of i and 405.
15
Let x(g) = g**2 + 15*g - 13. Suppose 3*c + 46 = -q, -2*c - 2*q + 68 = -6*c. Let n be x(c). Calculate the greatest common factor of 3 and n.
3
Let h be (-44)/6 - (-2)/(-3). Let k(t) = -19*t - 8. Let q be k(h). Calculate the highest common divisor of 16 and q.
16
Let j = -1349 + 1404. What is the highest common divisor of j and 715?
55
Let o(x) = 2*x + 14. Let n be ((-6)/(-7))/(((-16)/28)/4). Let h be o(n). Suppose -5 - 25 = -3*i. What is the highest common divisor of h and i?
2
Let f(k) = k**3 - 6*k**2 + 4*k + 12. Let v be f(4). Let u be 147 - (v + 3 + 3). Let b = 96 - 38. Calculate the highest common factor of u and b.
29
Let b be ((-4624)/51)/((-4)/6). What is the highest common factor of b and 17?
17
Suppose -8232 = -q - 27*q. Calculate the greatest common factor of 12 and q.
6
Let d be -1 - (104/(-39) - 1/3). Suppose 40 = -0*a + d*a. Calculate the highest common divisor of 50 and a.
10
Suppose 3*n = z + 65, 0 = 9*n - 4*n + 3*z - 113. What is the greatest common factor of 143 and n?
11
Let a(y) = 4*y**2 - 6*y + 1. Let j be a(3). Let v(q) = 2*q**2 + 16*q + 3. Let i be v(-14). What is the highest common factor of i and j?
19
Let n = -384 - -401. Calculate the highest common factor of 289 and n.
17
Suppose 0 = -11*w - 4651 + 5575. Calculate the greatest common divisor of w and 1554.
42
Let o be ((-96)/8)/12*(-2)/2. Let b(p) = -9*p. Let z be b(-1). Calculate the greatest common divisor of z and o.
1
Suppose -5*n + 0*n + 3*y = -588, 5*n - 5*y - 580 = 0. Let t be 18 - (2 + -3 + 4). Calculate the greatest common divisor of n and t.
15
Let k = -508 + 1012. What is the greatest common factor of 288 and k?
72
Let p(m) = 45*m**2 - 314*m - 5. Let c be p(7). Let l(q) = 6*q**3 - q**2 - q + 1. Let d be l(1). Calculate the highest common factor of d and c.
1
Suppose -38 = -2*a - 3*h, a + 3*h - 2*h - 19 = 0. Let x(z) = z**2 - 19*z + 26. Let p be x(a). What is the greatest common factor of p and 286?
26
Let o be (16/20)/(10/275*1). Calculate the highest common factor of o and 110.
22
Let n(f) = -f**2 + 7*f + 4. Let z be n(6). Let o be (9 + -11)*(-30)/4. Let c be (z/(-10))/((-1)/o). Calculate the highest common divisor of 5 and c.
5
Let d = 641 + -306. Suppose 2*r = 5*y + d, 0 = r - 2*r + 4*y + 169. What is the greatest common divisor of 15 and r?
15
Let f(t) = 2*t**3 - t**2 - 4. Let s(j) = 2*j**2 + j + 1. Let m be s(1). Let b be f(m). What is the greatest common factor of b and 12?
12
Suppose 0 = 12*l - 15820 + 2380. What is the greatest common divisor of l and 10?
10
Suppose 1 = 5*w - 14. Let j be 4*(10/(-4) + w). Suppose 3*y - j*n = 62, -2*y - 3*n + 135 = 3*y. What is the greatest common divisor of 12 and y?
12
Suppose 25*q - 3255 = -10*q. What is the greatest common factor of q and 3?
3
Let x = -35 + 37. Suppose x*r = -2*w + 24, -8*r + 3*r - 4*w + 61 = 0. Calculate the highest common divisor of 104 and r.
13
Let c(d) = 3*d**2 - 5*d + 7. Let x be c(-5). Suppose 4*f - x