- 212. What is the highest common divisor of p and 243?
3
Let u(m) be the third derivative of -m**5/60 + 23*m**4/24 - 19*m**3/2 + 45*m**2. Let l be u(20). What is the highest common factor of l and 75?
3
Suppose 8 = 58*k - 59*k. Let h be 458/5 + k/(-20). Calculate the greatest common divisor of 230 and h.
46
Let r(u) = u**2 - 56*u + 222. Let y be r(73). What is the highest common factor of 57 and y?
19
Let f = -50 - -127. Let j = -35 + f. Let y be j/(-147) - 886/14*-1. Calculate the greatest common factor of 9 and y.
9
Let n(k) = k**2 - 4*k + 2. Let j be n(4). Suppose -13*b = -j*b - 176. Calculate the highest common divisor of 24 and b.
8
Let o be ((-13890)/10*3)/(-1). Calculate the greatest common divisor of o and 9.
9
Let w(n) = -n**2 - 3*n + 3. Let v be w(-4). Let d(q) = -350*q**3 + 2*q**2 + q + 1. Let l be d(v). What is the highest common factor of l and 132?
44
Let b be 6/(-57) - 20874/(-114). Calculate the highest common factor of 1952 and b.
61
Let n be (2/4)/(2/40*5). Suppose r - n*w - 13 = 0, -5*r - 2*w = 7 - 36. What is the highest common divisor of 1 and r?
1
Suppose 9*i - 453 = 483. Suppose -15*n - 14 = -i. Suppose -82 - 62 = -3*m. Calculate the highest common divisor of n and m.
6
Let o = -7259 - -7315. What is the greatest common factor of o and 616?
56
Let o(p) = 75*p**2 + 12*p. Let z be o(-1). What is the greatest common divisor of 1029 and z?
21
Suppose -24*c + 1911 = 951. What is the highest common factor of 3040 and c?
40
Let m(r) = r**2 - 9*r - 28. Let u be m(12). Suppose b = p + u, p = -p - 4. Suppose 0 = -b*g + 154 + 1694. What is the greatest common factor of 44 and g?
44
Let r(d) = 17*d**2 - 10*d + 20. Let m be r(2). Calculate the greatest common divisor of 799 and m.
17
Let w be (-4)/6 + 1*(-76)/12. Let p(v) = v**2 - 9. Let u be p(w). Let k be -3 - ((-37)/5 - (-16)/u). Calculate the highest common factor of 36 and k.
4
Let q = -10747 - -10751. Calculate the highest common divisor of q and 2492.
4
Suppose d = -3*a + 2218, -28*d + 26*d = -a + 744. Calculate the greatest common factor of a and 2146.
74
Let x(f) = 7*f**2 - 9*f + 1. Let c be x(2). Let h be c/(77/130)*7. What is the highest common divisor of h and 10?
10
Let i(r) be the first derivative of 8*r + 1/4*r**4 + 11/3*r**3 - 26 - 13/2*r**2. Let z be i(-12). What is the greatest common divisor of z and 80?
20
Let h(z) = z**2 - 8*z + 52. Let r be h(26). Let y = r - 509. Suppose -5*s = -0*s - 55. Calculate the highest common factor of s and y.
11
Let p = 6299 - 5049. Calculate the greatest common divisor of 30 and p.
10
Let x(f) = 628*f**2 + 57*f - 153. Let z be x(3). Calculate the greatest common factor of z and 70.
70
Suppose 8*y - 418 + 82 = 0. Suppose -9 = -5*u - n + 18, y = 5*u - 4*n. What is the highest common factor of 14 and u?
2
Suppose 98 = 4*f - 286. Suppose -8*g + 11*g = f. Calculate the highest common divisor of 32 and g.
32
Let t(n) = n**2 - 82*n + 1002. Let w be t(14). Calculate the highest common factor of 5625 and w.
25
Let j be ((-8)/5)/(4/20). Suppose -2*a = 2*o - o - 1524, 0 = 5*o + 5*a - 7610. Let h be (o/(-25))/j - 4/(-10). Calculate the highest common divisor of h and 16.
8
Suppose 4*i = 3*n + 1734, -i - 129*n + 134*n + 442 = 0. Calculate the greatest common factor of 304 and i.
16
Let n = -1215 - -1380. Calculate the highest common divisor of n and 385.
55
Let b be (-120)/(-270)*(-9)/(-2). Let v be (-1 + -211)*-2 - (6 - b). Calculate the highest common divisor of v and 90.
30
Let q = 186 + -138. Let b be (-14)/(-3)*360/q*1. Calculate the highest common divisor of 35 and b.
35
Suppose -795*k + 84245 - 17465 = 0. Suppose -2*y + q - 3*q = -34, 3*q = -12. Calculate the greatest common factor of y and k.
21
Let g(d) = 1251*d - 6192. Let u be g(5). What is the highest common factor of 1773 and u?
9
Let p(y) = 45*y - 40. Let v be p(8). Suppose 5*n + v = 5*b, -n - 37 = -2*b + 89. Calculate the highest common divisor of b and 93.
31
Let h(o) = -3*o**2 + 23*o - 6. Let p be h(7). Let a = 30 - 20. What is the highest common divisor of p and a?
2
Suppose 73*s + 12617 = 96*s - 17582. What is the greatest common divisor of 1111 and s?
101
Let q(w) = -3*w**2 + 103*w + 239. Let g be q(36). Calculate the greatest common divisor of g and 10325.
59
Let i be -3 + 2 + -58*1. Let k = 1 - i. Suppose 0 = -2*g + d + 75, 0 = 5*g + d + k - 237. Calculate the highest common factor of 54 and g.
18
Let w be 346 + (-12 + 8)*7/(-4) - -7. What is the greatest common divisor of w and 2790?
90
Let z(w) = -4*w**2 - 2*w + 78. Let j be z(0). Let n = 108 - j. Suppose 4*m + 4*h - 468 = 0, m = -0*m - 5*h + 105. What is the highest common divisor of m and n?
30
Let q(f) = -3*f**3 + 23*f**2 + 81*f - 32. Let l be q(-4). What is the greatest common factor of l and 1088?
68
Let o(m) = -5*m + 52. Suppose 4*g = 3*g + 9. Let a be o(g). Let t(n) = 3*n**2 + 4*n + 7. Let d be t(-6). Calculate the highest common factor of a and d.
7
Let z(f) = -f**3 + 6*f**2 + 2*f - 4. Let s be z(6). Let k(t) = 14*t + 208. Let m be k(-4). What is the highest common factor of s and m?
8
Suppose -183*s + 9359 + 4549 = 0. What is the greatest common factor of 1444 and s?
76
Let w = 17 - 13. Suppose -w = r, 0 = -5*b + 3*r + 118 - 331. Let d be ((-60)/b)/((-2)/(-252)). What is the greatest common factor of d and 24?
24
Suppose -2*b + 10 = -b. Let j = 193 + -23. Calculate the greatest common factor of j and b.
10
Let c be 3/(((-12)/11824)/((-405)/108)). Calculate the greatest common factor of c and 30.
15
Let i = -271 + 281. Suppose -i*z = -315 - 25. What is the highest common factor of z and 612?
34
Let w = 667 + -438. Suppose -5*c + w = -24*f + 26*f, 4*c = -4*f + 452. Calculate the greatest common divisor of f and 84.
28
Suppose -5*h - r + 108 = 0, 1 = -h + 2*r + 16. Let b be ((-36)/h)/(22/(-847)). Suppose -3*d - b = -345. Calculate the greatest common divisor of d and 62.
31
Let b = 9162 - 1801. Calculate the highest common factor of b and 51.
17
Suppose 5*c = -5*j + 30, -2*j - 505*c + 502*c = -6. What is the greatest common divisor of 103 and j?
1
Suppose 3024 - 6527 = -37*c + 4193. Calculate the greatest common divisor of c and 598.
26
Let l(h) = 123*h + 2112. Let c be l(-13). Calculate the highest common divisor of 399 and c.
57
Let x(o) = -o**3 - 27*o**2 - 63*o - 289. Let r be x(-25). What is the highest common factor of r and 276?
12
Let j be (-44)/(-5) - 1/(10/8). Let d(k) be the first derivative of 3*k**2/2 - 7*k - 3. Let q be d(9). What is the greatest common factor of q and j?
4
Let a = -74 - -136. Suppose 6*l - 10 = a. What is the highest common divisor of l and 12?
12
Let x be (-41055)/(-525) - (1 + (-5)/(75/12)). Calculate the highest common factor of 2886 and x.
78
Let c be (-5 - -23)/((-45)/(-12))*770/154. Suppose -4*n = -3*n - 84. Calculate the greatest common divisor of n and c.
12
Let r be ((-44)/(-6))/(18/27). Let n = 3185 - 2316. What is the highest common factor of n and r?
11
Let f be 152 + (-23 + 26)*(-5)/(15/2). What is the greatest common divisor of 2850 and f?
150
Let h = 13066 - 12692. Suppose -i + 2*i = 22. What is the greatest common factor of i and h?
22
Suppose 0 = -a + 4*q + 42, 0 = 4*a + q + 30 - 130. Suppose 51*t = 54*t - 792. Let k be (-3 - -2)/(t/(-260) - -1). What is the highest common factor of a and k?
13
Let a(j) = 9*j**2 - 4*j - 9. Let v be a(10). Suppose -22*w + v = -601. Calculate the greatest common factor of 44 and w.
22
Let m = 370 - 250. Let t(a) = -386*a - 3426. Let k be t(-9). Calculate the greatest common divisor of m and k.
24
Let y(z) = 1241*z - 166. Let j be y(6). What is the highest common factor of 273 and j?
91
Let k be (-2)/5 + (-676)/(-65). Let j be ((-1 + 1)/9)/1. Suppose j = k*a + 31 - 531. Calculate the greatest common factor of a and 30.
10
Let v = 6550 - 6242. Calculate the highest common factor of 42 and v.
14
Suppose -3 = 3*k - 111. Let y be (-1)/4 + (-42)/(-8) + -2. Suppose -y*x + n + 74 = -3*n, x + 2 = -4*n. Calculate the greatest common divisor of x and k.
18
Let q = 17 - 13. Let r(b) = 0 - q*b - 2*b - 9 + 2*b. Let u be r(-9). What is the highest common divisor of 135 and u?
27
Let x = 3555 - 3505. Let y = -7 - -9. Suppose y*t - 4 = 16. Calculate the greatest common factor of x and t.
10
Suppose 3*r + 66 = -2*r + 2*d, 4 = -2*d. Let w(b) = b**2 + 