
Let l(v) = v**3 - 18*v**2 + 14*v + 21. Let n be l(17). Let i be n*(14/(-10) - -1). Calculate the highest common factor of 6 and i.
6
Let k(f) be the third derivative of -f**4/8 + 17*f**3/2 - 28*f**2. Let n be k(15). What is the greatest common factor of 78 and n?
6
Suppose -2*i + 30 = 3*i. Suppose 0 = i*n + 16 - 58. Calculate the highest common divisor of 7 and n.
7
Suppose 4*u - 54*n + 55*n = 97, -3*n + 123 = 5*u. Let f be (-2)/((-1)/(0 + 36)). What is the greatest common divisor of u and f?
24
Let m be (255/(-10))/17 - (-706)/4. What is the highest common factor of m and 75?
25
Suppose 4133 = 9*i - 592. What is the highest common factor of 90 and i?
15
Suppose -23*v = -116 - 22. Calculate the greatest common factor of v and 141.
3
Let d = -7 + 17. Suppose 2*g - d = g. Let i = g + -3. Calculate the highest common factor of 7 and i.
7
Let x be 18/(-21)*308*(-19)/114. Suppose -3*q = -6*q + 2*d + 204, -5*q - 3*d + 321 = 0. What is the highest common factor of q and x?
22
Let j = 94 + -64. Let z(w) = w**2 - 5. Let h = 37 + -32. Let b be z(h). Calculate the highest common divisor of j and b.
10
Suppose -3*o + 24 = -2*o. Let l be -6*(-2)/7*7/3. Calculate the highest common factor of o and l.
4
Suppose 0 = -52*a + 58*a - 144. What is the greatest common factor of 152 and a?
8
Suppose -6 - 14 = -4*h. Let s be ((-21)/h)/(6/(-90)). Calculate the highest common factor of s and 9.
9
Let v be (-10)/((-1)/((-75)/6)). Let z = 230 + v. Let m be z/14 + (-2)/4. What is the greatest common factor of m and 35?
7
Let d = 18 + -12. Let w(i) be the second derivative of -i**4/12 + 5*i**3/2 - 4*i**2 - 2*i. Let u be w(14). What is the highest common divisor of d and u?
6
Suppose -27*n + 28*n + 2*k - 2042 = 0, 4*n - 8182 = -k. Calculate the greatest common divisor of 11 and n.
11
Let k be (16/3)/(-4)*3. Let d(f) = f**2 + 2*f - 2. Let j be d(k). Suppose i = -4*h + 5, j*i - 4*i - 6 = -4*h. What is the highest common divisor of h and 5?
1
Suppose 51 = -4*x + 135. Suppose r = -2*i + 6, 0 = i - 0*r + 5*r - x. Let j be (-33)/(-3 + 4 + -4). What is the greatest common divisor of i and j?
1
Let u be 51 + -49 + 11/1. What is the highest common factor of 481 and u?
13
Let f be 10/(-1)*(-2)/5. Suppose -f*s = c - 26, -c - 2*s = -4*s - 8. What is the highest common divisor of c and 2?
2
Suppose 2*i = -9*i + 297. Calculate the highest common divisor of i and 27.
27
Let a(y) = 2*y**3 + 10*y**2 + 6*y. Let p = 52 + -56. Let x be a(p). What is the highest common factor of 72 and x?
8
Let m(q) = -52*q + 9. Let z be m(-4). Suppose -5*b + 217 - 59 = 3*r, 0 = -5*b + 2*r + 153. Calculate the highest common factor of b and z.
31
Suppose 13 = -2*j + 3. Let f(d) = -d**3 - 6*d**2 - 11*d - 4. Let a be f(j). Suppose 0*v + 260 = 4*v. What is the highest common divisor of a and v?
13
Let t = -205 + 343. Let o = t + -75. What is the greatest common factor of o and 42?
21
Let l be (-24)/15*(-41 - 74). What is the greatest common factor of 230 and l?
46
Suppose 2*c + 4 + 6 = 0, -5*c = -3*g + 139. Let z(d) = 5*d - 2. Let m be z(1). Let v be 6/(-9)*m - -59. What is the highest common divisor of v and g?
19
Suppose 10*b = 8*b - 96. Let u = b - -72. Calculate the highest common divisor of 8 and u.
8
Suppose 5*d - 47 = 4*h, -5*d - 4*h + 23 = -0*d. Let v be (-18)/(-24) - 73/(-4). Let n = v - 18. Calculate the greatest common factor of d and n.
1
Let g(l) = -l**3 - 2*l**2 + 2*l + 3. Let k be g(-3). Let j = -124 + 122. Let a = k + j. What is the highest common factor of 28 and a?
4
Let h be 345/46 - 3/(-2). Let n = -119 - -182. What is the greatest common divisor of h and n?
9
Let o = -9 - -48. Suppose -3*t - 4*l + 0 = -78, 0 = -2*t - 2*l + 52. What is the greatest common divisor of o and t?
13
Suppose -8 = -2*o, 6*o - 9*o = 5*z - 4412. What is the highest common factor of 44 and z?
44
Suppose 3*t - q = -8, -3*q = 3*t - 7 - 5. Let d be t + (-5)/(10/(-22)). Calculate the highest common factor of 30 and d.
10
Let w = 22 - -6. Suppose 2*l + 3*l + 217 = 4*r, -r - 4*l + w = 0. What is the highest common factor of 16 and r?
16
Suppose -l - 3*h + 56 = 0, 25*l + 4*h = 23*l + 118. What is the greatest common divisor of 25 and l?
5
Let u(l) = 13 - 3 + 51*l + 17 - 49*l. Let z be u(-7). What is the highest common divisor of 13 and z?
13
Let w(f) = -f**3 + 12*f**2 - 9*f + 15. Let h be w(11). Let x = h - 21. Let m be 3/(-6) + (-485)/(-10). What is the greatest common factor of m and x?
16
Suppose -o = -2*o + 12. Let c(w) = -w**3 + 5*w**2 - 2*w - 2. Let q be c(4). Let l be 6/(-1 + q/5). Calculate the highest common divisor of l and o.
6
Suppose -4*i + 2*a + 160 = 0, -i - 5*a = 3*i - 132. Let t be (i + 5 - -1) + 4. What is the greatest common factor of 36 and t?
12
Suppose -5*d + 3 = -2*o + 6, 0 = 2*d - 10. Let m(k) = -k**3 + 11*k**2 - 9*k + 4. Let q be m(10). Calculate the greatest common factor of q and o.
14
Let g be ((-52)/65)/(2/(-20)). Suppose g*m - 26 = 6*m. What is the greatest common factor of m and 13?
13
Let d(q) = q**3 - 8*q**2 + q - 8. Let y be d(8). Let s be 30/10 - (y/2 + -30). What is the greatest common factor of 132 and s?
33
Suppose -4*b = 4, 1153 = 3*s + 2*s - 3*b. Calculate the highest common factor of 10 and s.
10
Let d = -63 + 39. Let h = d - -62. What is the highest common divisor of 114 and h?
38
Let p be (-327)/12 + (-2)/(-8). Let z = 21 - p. Let u(m) = -m**2 - 68*m - 464. Let y be u(-8). Calculate the greatest common factor of y and z.
16
Let g(u) = 7*u - 295. Let q be g(55). What is the greatest common divisor of q and 50?
10
Let w = -143 - -148. Let o(y) = -y**3 + 10*y**2 - 13*y + 12. Let n be o(w). Calculate the greatest common factor of 48 and n.
24
Let b(i) = 5*i**3 - 5*i**2 - i + 2. Let y be b(2). Let w be (14/(-49))/((-2)/14). Suppose w*a - 4*a + 40 = 0. Calculate the greatest common divisor of a and y.
20
Let w be (-22)/33 - (-25)/(-3). Let f = 16 + w. Suppose a - 5 = f. Calculate the highest common divisor of 12 and a.
12
Let o = -66 - -65. Let m be (-1 - 5/5)/o. Calculate the highest common factor of 22 and m.
2
Let s be (74 - 1) + (33/3 - 6). What is the highest common divisor of 429 and s?
39
Let m(u) = 2*u**2 + 41*u - 10. Let x be m(-21). What is the greatest common factor of x and 11?
11
Let j be -1302*6*3/(-27). What is the highest common divisor of 84 and j?
28
Suppose 19*z - 9253 = -1102. Calculate the greatest common divisor of 156 and z.
39
Let v(r) = r + 0 - 1 + 2. Let b be v(1). Suppose 7*m = b*m + 30. Calculate the highest common divisor of m and 12.
6
Suppose -2*m = 4*f - 12, 4*f - 11 - 13 = 4*m. Let o = 23 - m. Suppose -4*v = v + o, -61 = -3*g + 5*v. Calculate the highest common factor of g and 6.
6
Let d(n) = -n**3 + 4*n**2 + 2*n - 5. Let p be d(4). Suppose h - 44 = -p*h. Calculate the highest common divisor of h and 1.
1
Let y(t) = 2*t**2 + 4*t - 25. Let x be y(-6). Calculate the greatest common factor of 437 and x.
23
Let c(i) = i**3 - 7*i**2 - i + 6. Let q be c(7). Let n be 111/15 - q*3/5. What is the greatest common divisor of 24 and n?
8
Let b be -5 + (-30)/(-8)*(-2448)/(-54). Calculate the highest common divisor of b and 264.
33
Let p(v) = -2*v + 490. Let g be p(0). Suppose -3*w = 94 - g. Calculate the greatest common divisor of 12 and w.
12
Suppose -4*n = 4*w + w - 30, -2*n = 3*w - 20. Suppose -18 = -k - 2*y + 10, 3*k = 5*y + 95. Calculate the greatest common divisor of w and k.
10
Let r = 17 - -9. Let f(a) = 2*a**2 - 14*a + 20. Let u be f(15). What is the highest common factor of r and u?
26
Suppose 2*c + 3*m + 307 = 4*c, 0 = -5*c - 4*m + 779. Let q = -29 + c. What is the highest common divisor of q and 14?
14
Suppose -7*a + 1671 = -779. What is the highest common divisor of 400 and a?
50
Let a = -6521 - -13681. Suppose 0*f + a = -4*f. Let u be (-2)/(-5) - f/25. What is the highest common factor of u and 8?
8
Suppose -1 = -f + 3. Suppose -f*j + j = -15. What is the greatest common divisor of 10 and j?
5
Suppose 3294 = 5*g + 369. What is the greatest common factor of g and 65?
65
Suppose -17*k = -995 - 977. What is the highest common divisor of 261 and k?
29
Let m = 485 - 304. Let b = -91 + m. What is the highest common divisor of b and 36?
18
Suppose 142 = 12*i - 218. Calculate the greatest common factor of i and 195.
15
Let c be 2 - -94 - (-16 + 12). What is t