1). Calculate the highest common divisor of 160 and s.
10
Let i = 111 - 102. What is the highest common factor of i and 6?
3
Let b(d) = -d**2 - 9*d + 1190. Let z be b(0). What is the highest common factor of z and 17?
17
Suppose 3*h + 4*w + 84 = -h, -3*w + 105 = -5*h. Let o be 1 - (h + -2 - 3). What is the highest common divisor of 54 and o?
27
Let a(z) = 5*z. Let g be a(7). Let b = -9 + 12. Suppose -7 = -2*x - 3*h - 2, b*x + 5*h = 6. Calculate the greatest common factor of x and g.
7
Let g(a) = -2*a**3 + 66*a**2 + 67*a + 43. Let l be g(34). What is the highest common divisor of l and 279?
9
Let a = -3233 + 3245. Suppose 0*g = -5*g. Let i(n) = -n**2 + 84. Let p be i(g). What is the highest common factor of p and a?
12
Suppose -2*v - 5*s + 186 = 0, -v + 6*v + s - 442 = 0. Let o(b) = -4*b - 66. Let n be o(-21). Let g = n + -10. What is the highest common factor of v and g?
8
Suppose -2*z - 228 = -4*h, -5*h - 4*z = -141 - 157. What is the highest common factor of h and 522?
58
Suppose 2*w = -7*b + 4*b + 91, 0 = 2*b - w - 49. What is the highest common divisor of b and 369?
9
Let m = -184 - -196. Let v = 3 - 1. Suppose -5*q - 2*s + 36 + 26 = 0, 2*q = v*s + 22. What is the highest common divisor of q and m?
12
Suppose 0 = -w + 5*z + 38, w - 22 - 48 = -3*z. What is the greatest common factor of 58 and w?
58
Let j be ((-48)/(-60))/((-12)/(-5) - 2). Let w be 1*2 - (j + -9 - 14). Calculate the greatest common factor of w and 92.
23
Suppose 3*a - 52 = -13. Let b(p) = -p - 11. Let z be b(-9). Let j be (-1 - z) + 88 - -2. Calculate the highest common factor of j and a.
13
Let m = -299 - -519. What is the highest common divisor of m and 20?
20
Suppose -i - 11 + 21 = 5*g, -3*i = -2*g + 4. Let p(j) = 48*j**2 + j. Let u be p(1). Suppose -63 = -g*s + u. What is the highest common factor of s and 8?
8
Let n = -48 - -56. Let b(g) = g**2 + 8*g + 2. Let p be b(-8). Calculate the greatest common divisor of n and p.
2
Suppose 9*b + 158 = 3*t + 7*b, 0 = 5*t + 4*b - 234. Calculate the highest common factor of t and 470.
10
Let p = 25 + 53. Calculate the greatest common divisor of p and 18.
6
Let y be (-9)/(81/(-156))*3. Suppose 4*c - y + 4 = 0. Let f = -6 + c. Calculate the greatest common factor of f and 9.
3
Let v = 305 - 286. What is the greatest common divisor of v and 2?
1
Let h = 671 - 659. Let r = 7 - 3. Suppose -2*s + 6 = -4, 100 = 4*k - r*s. Calculate the highest common divisor of k and h.
6
Let a = -589 + 906. Let r = a + -203. What is the greatest common factor of r and 19?
19
Suppose 0 = -3*l - 4*y - 19, -2*y + 3*y = -5*l - 26. Let c = l - -5. Let n be c - (-19 - 4) - -1. What is the greatest common factor of 24 and n?
24
Suppose a = -2*g + 2, -a = -2*a. Calculate the highest common divisor of g and 18.
1
Let r be 9/4*32/(-12). Let a be 334/6 + (-2)/r. Let v = -12 + 20. What is the greatest common divisor of a and v?
8
Let a be ((-12)/2)/(4/(-24)). Let f be 4/(-24) - (-407)/(-6). Let t be (f/(-10) + -2)*5. Calculate the greatest common factor of t and a.
12
Let i be 3/9 - (-77)/3. Suppose m - i = -0. Suppose 120*j - 102*j - 702 = 0. Calculate the highest common factor of m and j.
13
Suppose 32 + 23 = 5*l. Suppose -r + 1 = l. Let a(q) = -q**3 - 11*q**2 - 14*q. Let p be a(r). Calculate the highest common divisor of p and 100.
20
Suppose -71*d + 67*d + 436 = 0. What is the highest common factor of d and 4033?
109
Let b be ((1 - 1) + 0)*-1. Suppose 0*s + 4*s - 84 = b. Suppose -20*m = -4206 + 3786. Calculate the highest common factor of s and m.
21
Suppose 4*r + 9*r - 52 = 0. Suppose 0 = 4*k - r, a = 2*a - 3*k - 62. Calculate the greatest common factor of a and 26.
13
Let y(j) be the third derivative of -1/8*j**4 + 1/6*j**3 + 0*j + 0 - 9*j**2 + 1/30*j**5. Let g be y(3). What is the highest common factor of 5 and g?
5
Let l(v) = v**3 + 3*v**2 - 6*v - 6. Let w be l(-4). Suppose 364 = w*d - 296. Calculate the highest common factor of 33 and d.
33
Suppose -4 = 4*z - 4*j, 5*j - 2 - 15 = z. Suppose z*b = 373 - 205. Calculate the highest common factor of b and 16.
8
Suppose -t - 5*w = -3*t - 432, 3*w = -2*t - 432. Let m = -152 - t. Suppose 5*b - 16 = 3*b. Calculate the highest common factor of m and b.
8
Suppose 29 = 3*w - 3*o + 4*o, 2*w + o - 21 = 0. Suppose 5*b + 3*j + 4 = 37, -6*b + 39 = 3*j. Calculate the greatest common divisor of b and w.
2
Let k be ((-9)/6)/(0 + 1/(-2)). Suppose t - y - k = 14, -y - 53 = -4*t. What is the greatest common factor of t and 78?
6
Let r(y) = -y**3 + y**2 + y + 19. Let o be r(3). Calculate the greatest common divisor of 9 and o.
1
Let m be ((-3)/9)/((-7)/168). Let c(k) be the first derivative of k**3/3 - 4*k**2 + 11*k + 2. Let p be c(m). Calculate the highest common factor of p and 11.
11
Suppose -5*v = -10, -4 = -4*k - v + 2. Suppose 0 = r - k, 0 = -4*w - 3*r - 0*r + 147. Calculate the greatest common divisor of 9 and w.
9
Let v = -26 + 114. Calculate the greatest common divisor of 8 and v.
8
Let m = 446 - 326. Suppose -35 = -5*p + 40. Calculate the greatest common divisor of m and p.
15
Let l = -4 + 8. Suppose -5*k + 37 = 3*x, -l*k + 39 = 4*x + 11. Let n(i) = 3*i + 4. Let j be n(4). What is the greatest common divisor of k and j?
8
Let n be -5*(-2 + (-84)/15). Suppose 3*d - 1947 = -5*s - 228, 4*s = -4*d + 1380. Calculate the greatest common divisor of s and n.
38
Let n(g) = g**3 + 5*g**2 - 11*g - 26. Let w be n(-4). What is the highest common divisor of w and 34?
34
Let g(x) = x**3 + 10*x**2 + 12*x + 6. Let y be g(-6). Calculate the highest common factor of 130 and y.
26
Let g(t) = 4*t**3 - 2*t - 3*t**3 + 2 - 19 + 15*t**2 + 19*t. Let f be g(-13). Calculate the greatest common factor of 40 and f.
20
Let a = -779 - -1068. What is the greatest common divisor of a and 34?
17
Suppose -404 = -10*j - 84. What is the greatest common factor of j and 56?
8
Suppose -36*l - 10863 = -45*l. Calculate the greatest common divisor of l and 71.
71
Suppose 2*b - 5*h - 19 = -61, 3*b + 37 = h. Let u be b*(-2 - (7 + -2)). Suppose -s = 3, s - 3*s - 20 = -2*o. Calculate the greatest common divisor of u and o.
7
Let q be (-15 + 0 - -2)*4. Let k = -37 - q. Let x(a) = 13*a - 3. Let c be x(6). What is the highest common factor of k and c?
15
Let j be 4/(-6)*(1 - -17). Let m = 5 + j. Let x be 0 + -3 - (m + 1). What is the highest common factor of 6 and x?
3
Let d be (-34260)/(-42) - 4/(-14). Suppose -100 = s - o + 62, 0 = 5*s - 3*o + d. Let p be 3/(-2 + (-339)/s). What is the greatest common factor of p and 22?
11
Let m be (175/14)/(3/120*5). Calculate the highest common divisor of m and 175.
25
Let f be (-61)/(-9) - 6/(-27). Suppose -15*k = 255 - 1095. What is the greatest common divisor of k and f?
7
Suppose -2*n + 5*n = -198. Let v = -42 - n. What is the highest common divisor of 264 and v?
24
Let o be (-5)/((-30)/4)*396. Calculate the highest common factor of o and 33.
33
Suppose 3 = -2*h + 3*h. Suppose 5*v = 5*k, -h*v - k = -v + 15. Let m = 1 - v. Calculate the greatest common divisor of 24 and m.
6
Let m = -12 - -6. Let v(b) = b**2 + 3*b + 10. Let o be v(m). Suppose -x = 3*y - 214, 0 = -2*y - 4*x + 122 + 34. Calculate the highest common factor of y and o.
14
Suppose -28*j - 77 = -39*j. Calculate the greatest common factor of j and 343.
7
Let a(k) = -k**2 - 26*k - 40. Let d be a(-14). Calculate the highest common divisor of 32 and d.
32
Suppose 4*m + 277 = 5*h, 0*m = 3*m + 9. Suppose 5*z = 317 + h. Let d = 340 + -155. What is the greatest common divisor of z and d?
37
Let m(p) = p**3 - 12*p**2 - 12*p - 13. Let o be m(13). Let x be (-8)/(-12) + (o - (-43)/3). Calculate the highest common factor of 6 and x.
3
Let x be ((-20)/6 + 2)*-15. Suppose -3*g - 18 = -3*l, -32 = -2*l - 17*g + 14*g. Calculate the greatest common factor of l and x.
10
Let a = -1553 - -1686. Suppose -5*v = -29 - 66. What is the greatest common divisor of a and v?
19
Let g(m) = -m**3 + 10*m**2 - 7*m - 11. Let k be g(9). Let q be (-4)/((-4)/k) + 4. Calculate the greatest common divisor of q and 33.
11
Suppose -5*b + 482 = 4*a, -3*a - 143 - 224 = -4*b. What is the highest common divisor of b and 47?
47
Let s(m) = -17*m + 1. Suppose -5 = y - 4. Let p be s(y). Calculate the highest common divisor of p and 54.
18
Let c = -1068 - -1160. Calculate the greatest common divisor of 414 and c.
4