002. Let h = 36 + 96. Calculate the greatest common divisor of h and p.
12
Let i be 10620/27 - -25*18/(-135). What is the highest common divisor of 1586 and i?
26
Suppose 70 = 2*v + 3*r, -5*r = -2*v + 759 - 689. Calculate the greatest common factor of 2240 and v.
35
Suppose 0 = -2*h - 2*k + 170, 25*h - 3*k - 555 = 19*h. Let c be ((-2)/1 - -3)*-1. Let d be (-5 - c)*(-9)/2. What is the highest common factor of h and d?
18
Let c = 24 + 60. Let s(h) be the first derivative of 7*h**3 - 3*h**2 + 6*h + 82. Let d be s(1). Calculate the highest common factor of c and d.
21
Suppose -15*l = -12*l - 63. Suppose l*z + 819 = 30*z. What is the highest common divisor of z and 7?
7
Let i be 0 + (-3 - -8) + -4 + 51 + 2. Calculate the highest common factor of 2727 and i.
27
Let w(z) be the third derivative of 2*z**3 + 8*z**2 + 0 + 0*z - 1/6*z**4. Let p be w(-11). Calculate the greatest common factor of p and 7.
7
Suppose -47*a = -330 - 452 - 64. What is the greatest common factor of 14886 and a?
18
Let k = -5419 - -5453. Calculate the highest common divisor of k and 493.
17
Let w be (-4614)/(-30) - 114/30. Let o be (-1)/(-1) + 0 + 24. Calculate the greatest common divisor of o and w.
25
Suppose 0 = 4*l - 15 - 77. Suppose l*w - 168 = 17*w. Suppose 2*z = 7*z - 10, -4*z = -2*c. Calculate the highest common divisor of c and w.
4
Suppose s + 5*j = 37, 2*s = 3*j + j + 130. Let i = 44 - s. Let p = -12 - i. What is the highest common divisor of p and 1?
1
Suppose a - 3117 = 2*b + 2*b, b + 4*a = -792. Let o be b/(-11 - -7) - 9. What is the greatest common divisor of o and 18?
6
Let o = -88 + 91. Suppose 0 = 2*y + o*r + 29, -4*y + 3*r = 2*r + 23. Let b = -1 - y. What is the highest common factor of b and 15?
3
Let q be (2/(-2))/(-7 - 22760/(-3252)). Let b be (-144)/(-168) + q/7. What is the greatest common factor of 9 and b?
9
Suppose -3*h + 242 - 92 = 0. Suppose -2*p + g - 161 = 0, 372 = -5*p - g - 48. Let s = 93 + p. What is the greatest common divisor of s and h?
10
Let h(i) = -70*i - 53. Let c be h(-3). Suppose -n - c = -208. What is the greatest common divisor of n and 306?
51
Suppose 0*w + l = 2*w + 51, -l = -4*w - 107. Let q = w + 32. Suppose -3*m + 25 = 7*o - 3*o, -2*m + 50 = -q*o. What is the highest common factor of 120 and m?
15
Let t(u) = -155*u**2 - 1422*u + 29. Let w be t(-9). Let r = 86 + -52. What is the greatest common factor of r and w?
34
Let c be 5*352/30*1170/20. What is the highest common factor of c and 6?
6
Let c(m) = 2*m**2 + 59*m - 974. Let p be c(-42). Calculate the greatest common divisor of p and 7923.
19
Let u = -67 - -69. Suppose 868 = 4*x - 2*t, 2*t = -u*t. What is the greatest common factor of x and 7?
7
Let h(g) = -33*g - 3509. Let z be h(-149). What is the greatest common factor of 2176 and z?
128
Let y = -98 - -137. Let k = y + -36. Let u be (-4)/(k*(-4)/216). What is the greatest common divisor of 8 and u?
8
Let n = 15 + -11. Suppose 2*g + 22 = 4*y, 0 = -4*y + 5*y + 5*g + 22. Suppose 6 = y*m, -2*h - 3*m = -n*m - 490. Calculate the greatest common factor of 41 and h.
41
Let c = 66 - 62. Suppose 5*r + 105 = -3*d + 8*d, c*d - 4 = -r. Let p(z) = z**2 + 13*z - 36. Let l be p(r). What is the highest common factor of l and 8?
4
Let u = -89 + 158. Let m = u + -19. What is the greatest common divisor of 75 and m?
25
Let w be (-65)/(-4) - (-78)/104. Let v = w - -11. What is the highest common divisor of 756 and v?
28
Suppose 0 = -4*g - 4*q + 36, -g - 5*q + 21 = -0*q. Suppose 9*n - 3*n = g. Let k be 1 + n/1 + -3 + 3. What is the highest common divisor of 10 and k?
2
Suppose -4*f + 13 = -23. Let s(i) = 2*i**2 + 20 - i**3 - 100 - 16*i**2 - 24*i. Let n be s(-13). What is the greatest common factor of n and f?
9
Let u(i) be the third derivative of 7*i**4/24 + 5*i**3/3 - 13*i**2. Let g be u(7). Let b = g + -44. What is the highest common divisor of b and 45?
15
Let d = 44 + -35. Suppose -d*a = -0*a - 252. Let b(t) = -t**3 - 8*t**2 - 3*t - 17. Let s be b(-8). What is the highest common divisor of s and a?
7
Let f be 4 - (3 + -1 + -79). Calculate the highest common factor of 423 and f.
9
Suppose 0 = v + 4*v - 720. Let l be (-6)/(-2) + v + -3. Let u be (2/(-10) - 44/(-20)) + 14. Calculate the highest common divisor of l and u.
16
Let o(k) = -57*k**3 + 2*k**2 + 2*k + 1. Let d be o(-1). Let c be -2 + 166 + 6 + 14*(-30)/(-105). Calculate the greatest common divisor of d and c.
58
Let p(g) = -2*g + 2*g - g + 44. Suppose -54 = -3*y + 2*m - 118, 58 = -3*y - m. Let j be p(y). Calculate the greatest common factor of 16 and j.
16
Let a(b) = -5*b**3 - 19*b**2 - 11*b - 39. Let y be a(-5). Calculate the highest common divisor of y and 747.
83
Let q be (-41 - -7)*(-15)/6. Suppose 52*k - 2900 = 14*k - 107*k. Calculate the greatest common divisor of k and q.
5
Suppose 10*w = 6*w - 988. Let d = w + 390. Let h = 262 - d. What is the greatest common factor of 17 and h?
17
Let h be 2/((-41)/39 - -1). Let g = h - -44. Suppose g*p - 7*w - 204 = -3*w, 0 = -p - 4*w + 60. Calculate the greatest common divisor of 4 and p.
4
Suppose 6*j + 133458 = 65*j. Calculate the greatest common factor of j and 522.
174
Let l be (882/(-28))/((22/(-4))/11). What is the greatest common factor of 288 and l?
9
Let i = -76 + 81. Suppose x - i = 0, -2*g - x - x + 262 = 0. Suppose 6 = -8*z + g. What is the greatest common factor of z and 5?
5
Let h(u) = -u**3 + 48*u**2 + 7*u - 66. Let w be h(48). Calculate the highest common divisor of w and 470.
10
Let d be (2/4)/(7/(4 + 262)). Let i = 42 - d. Let l(t) = t**3 + 11*t**2 - 2*t + 1. Let a be l(-11). What is the highest common factor of i and a?
23
Suppose 95*r - 96*r + 19 = 0. Suppose -3*c = r*c - 1100. Calculate the highest common factor of c and 4.
2
Suppose 34*f + 4 = 38. Let x = 38 - 15. Calculate the highest common divisor of x and f.
1
Suppose 265*r = 302*r - 1221. What is the greatest common factor of r and 384?
3
Let i = 15570 - 14760. Calculate the highest common divisor of 63 and i.
9
Suppose 77*g - 45011 = -1891. Calculate the highest common factor of g and 200.
40
Let r = 21 - 6. Let u be 63 + 1 + -2 + 0. Let z be (u + 4)/2 - 3. What is the greatest common divisor of z and r?
15
Suppose 0 = 4*n + i - 11959, 2*n = -3*i + 9440 - 3463. Calculate the highest common factor of n and 2070.
230
Let n(w) = w**2 - 28*w + 115. Let x be n(5). Suppose 0 = -x*u - u + 48. What is the highest common factor of u and 80?
16
Let q = 7129 - 13195. Let w be 3/(-8) - (q/48 + -6). Calculate the greatest common divisor of w and 33.
33
Let o be (-2 + 0 - -3)/1 + 20. What is the greatest common factor of o and 791?
7
Suppose 0 = i - 4*l - 57, -5*i - 99*l + 101*l + 393 = 0. Calculate the greatest common factor of 4293 and i.
81
Suppose 8053*x - 1011450 = 8023*x. Calculate the highest common divisor of 55 and x.
55
Suppose -67*o - 49 + 12243 = 0. Let t be 94*1*(-4)/(-8). Suppose -31 = -3*q + t. What is the highest common factor of o and q?
26
Let k be 391/85 + 6/(-10). Suppose -328 = -k*t - 64. What is the highest common divisor of 12 and t?
6
Let u be (1224/(-42) + 30)/((-3)/(-182)). Let i(d) = -d**3 - 3*d**2 - 2*d + 2. Let w be i(-4). Calculate the highest common divisor of w and u.
26
Let c(l) = 8*l - 242. Let k be c(31). Suppose -794 = -k*j - 182. Calculate the greatest common divisor of j and 153.
51
Let u(i) = -i**2 - 13*i - 2. Let w = 175 + -180. Let l be u(w). Calculate the greatest common factor of 152 and l.
38
Let v be ((-18)/10)/((-2)/10). Suppose -23*q - 25 = -221 - 80. Calculate the greatest common divisor of q and v.
3
Suppose 2*q + 5127*o - 443 = 5132*o, -3*o - 921 = -4*q. Calculate the greatest common divisor of q and 17940.
78
Let n be (8954/(-132) + 17)*-372. Calculate the greatest common divisor of 465 and n.
155
Let c(j) = 17*j + 144. Let z be c(-3). Calculate the greatest common factor of z and 2325.
93
Let k be 2/(-10) + 21 + (-111440)/(-200). Suppose 0 = -5*r + 51 + 119. What is the highest common factor of k and r?
34
Let k(m) = -m**3 - 21*m**2 - 19*m + 16. Let d be k(-20). Let r be (-10)/d + 7/(-14). Calculate the highest common factor of r and 14.
2
Let c = 8762 + -8678. What is the highest common divisor of c and 6576?
12
Let g(m) = -363*m - 712. Let l be g(-11). What is the highest common divisor of 1544 and l?
193
Let n = -102283 + 