10)/(-125).
3265
Let p(m) = m**2 + 8*m + 9. Let h be p(-8). What is the common denominator of (-1068)/(-520) + (0 - 2/13) and (-127)/(-126) - 2/h?
70
Suppose 2*n - m - 6 = -5*m, 5*n + 30 = 5*m. Let z = n + 1. Calculate the least common multiple of 1 and -2 + 1 - (-4 - z).
1
Let y(v) = -11*v + 1. Suppose b + 3*b + 5*c + 34 = 0, -25 = 3*b + 4*c. Let f = b + 10. Calculate the least common multiple of y(f) and 2.
12
Let s be 0 + 2/1 + -13. Let q = 14 + s. Find the common denominator of 31 and (14/q)/((-55)/99).
5
Calculate the common denominator of 2/(-4) + -185*17/(-7480) and -109/72.
792
Suppose 0 = 38*k - 100*k + 1736. What is the lowest common multiple of 14 and k?
28
Let f = 133939/20 + -6699. What is the common denominator of 73/94 and f?
940
Suppose -4*h + 52 - 12 = 0. What is the least common multiple of h and 274?
1370
Let f(v) = -4*v - 86. Calculate the lowest common multiple of f(-46) and 4.
196
Let c = -24 - -488. Let o be (-30)/135 + c/(-18). Find the common denominator of ((-3)/(-1))/(22/o) and -57/4.
44
Suppose 2*y = -2*j + 4*y - 24, -2*j - 14 = 3*y. Suppose -12 = -5*k + 3*k + 3*f, -f = 5*k - 64. Let v = k - j. Calculate the smallest common multiple of v and 4.
44
Let q(x) = x**3 + 3*x**2 + 2*x + 6. Let n be q(-3). Suppose -t - 1 + 17 = n. Calculate the common denominator of -45/22 and 5*(46/t + -3).
88
Let a = -38635/42003 + 186/359. What is the common denominator of -50/99 and a?
1287
Let a be 2/(-3) - (608/6 + -8). Let q = a + 103. What is the least common multiple of 54 and q?
54
Suppose 4*j - 4 = 3*a, -3*j + 2*a + 2*a = 4. Suppose -22*r = -20*r - 40. Let l = 30 - r. What is the smallest common multiple of j and l?
20
Let f = -8296 + 83063/10. Suppose 4*b + 2 = -2*p, -2 = 2*p - 4*p. What is the common denominator of 2 + b + 21/(-6) and f?
10
Let g = -14 + 34. What is the lowest common multiple of 2 - -3 - (-14 - -10) and g?
180
Let a(s) = s**3 + 5*s**2 - 4*s - 6. Let h(j) = 2*j**2 - 3*j - 4. Let q be h(3). Suppose -q*x + 20 = 45. Calculate the least common multiple of 2 and a(x).
14
Let c = 20447/51 - 401. What is the common denominator of c and (-20)/(-30)*(-62)/12?
153
Let b(q) = -4*q + 6. Let g be b(2). What is the smallest common multiple of 36 and g/(-4) + (-387)/(-18)?
396
Let t = 713 - 703. What is the least common multiple of 2/7 - (-12)/7 and t?
10
Suppose -16 = 4*c, -2*c + c = a + 2. Suppose -3*i + 30 = a*i. What is the lowest common multiple of 7 and (3 - i)/1 + 8?
35
Let w = -4087/2 + 2019. Calculate the common denominator of -3/1582 and w.
1582
Let j be 11/((-165)/(-10)) - (-710)/6. Let y = j + -113. Calculate the least common multiple of y and 6*(1/(-2))/(-1).
6
Let r = 1031/6 - 3833/24. What is the common denominator of r and -173/480?
480
Let n = 1173121/282 + -4160. Let w = n - 6299/282. Find the common denominator of w and 106/20 + 10/(-5).
30
Let s = 158022 - 23071313/146. Calculate the common denominator of -119/20 and s.
1460
Suppose -15 - 21 = 4*v. What is the common denominator of (4 + 355/(-100))/(9/(-33)) and v/(-20) - (-1 + 0)?
20
Calculate the common denominator of ((-4)/(-120)*6)/(28/(-50)) and 39/332.
2324
Let i = 4 + 2. What is the smallest common multiple of i and (-14)/2 + 10 + 8?
66
Let c = 78411/26 - 3015. What is the common denominator of c and ((-746)/140 - 1) + 4/10?
182
Suppose 50 + 22 = 4*z. What is the lowest common multiple of z and 30?
90
Let i be (-65)/(-2) - (-4)/(-8). Suppose -i = -0*n - 4*n - 2*o, 22 = 4*n - 3*o. What is the least common multiple of n and 11?
77
Let v = 21 - 11. Let i = -24 + 15. What is the least common multiple of v and (-124)/(-12) + 3/i?
10
Let j(l) = -6*l**3 - 3*l**2 + 4*l - 11. What is the smallest common multiple of j(-3) and 56?
112
Suppose 3*t + 4*c - 792 = -2*t, 0 = -t - c + 158. Calculate the lowest common multiple of t and 256.
1280
Let s = 2/3979 + 163127/23874. Find the common denominator of s and 23/18.
18
Let w(c) = -c**3 - 15*c**2 - 13*c + 25. Let p be (24/(-18))/(2/21). Calculate the least common multiple of w(p) and 18.
198
Let t(l) be the second derivative of -l**4/4 + 3*l**3 + 3*l**2/2 - 36*l. What is the smallest common multiple of 28 and t(6)?
84
What is the lowest common multiple of 18 and ((-24)/(-4) + -5)*165?
990
Let o(h) = -4*h**3 - 15*h**2 + h - 5. Let b(q) = -q**3 - q**2 - 1. Let x(z) = -5*b(z) + o(z). Calculate the lowest common multiple of 9 and x(10).
90
Let h(r) = -r**3 - 9*r**2 + 11*r + 13. Let w be h(-10). Suppose 0 = -w*d - d - 64. Let i = 26 + d. Calculate the lowest common multiple of i and 18.
90
Suppose b = -5*x - 0*x - 90, 270 = -3*b + x. Let n = b + 126. What is the lowest common multiple of 20 and n?
180
Let k = 1020 - 4081/4. Let j = 284 + -2323/8. Calculate the common denominator of j and k.
8
What is the common denominator of -15 - ((-55)/(-22) - (2 + 0)) and 71/14?
14
Let r(y) = -y**2 + 5*y + 1. Let t be r(6). Let o = -2 - t. Suppose -4*u + 2*v + 1 = -11, 18 = 3*u + o*v. Calculate the smallest common multiple of 14 and u.
28
Let k = 3679 + 715. Let z be (-2)/10 - 2766681/(-630). Let q = z - k. What is the common denominator of q and -87/20?
140
Let h(g) = -g**3 + 5*g**2 + 7*g. Let o = 4 + 2. Let z be h(o). Suppose -i = -10 - z. Calculate the smallest common multiple of 8 and i.
16
Suppose -3*m - 26 = -4*n - 8*m, n - m = 11. Calculate the least common multiple of (12/(-9))/(2/(-18)) and n.
36
Let c = -6707 - -375607/56. Let n = -616 - -1193/2. Calculate the common denominator of c and n.
56
Let b(v) = -2*v + 30. Let t be b(11). Suppose -5*y = -y - t. What is the least common multiple of 4 and y?
4
Calculate the lowest common multiple of 22 + (-5)/(35/(-42)) and 70.
140
Let g = -14 - 9. Calculate the common denominator of -119/10 and (g/6)/((-18)/(-36)).
30
Find the common denominator of 6/(-15) + (-1089)/(-540) and -65/4.
60
Let q = -905 - -915. Calculate the smallest common multiple of 902 and q.
4510
Let w = -112349/22 - -5110. Find the common denominator of (-474)/(-56) - (-2)/(-8) and w.
154
What is the least common multiple of 102 + ((-26)/26)/(1/(-3)) and 40?
840
Let a(y) = -y**2 + 13*y + 10. Let h be a(13). Suppose -h*u - 24 = -13*u. What is the lowest common multiple of u and 28?
56
Let t = 2 + 0. Let m(z) = 7*z + 59. Let w be m(-8). Suppose 17 = w*x + t. Calculate the least common multiple of x and 1.
5
Let p = 31 + -21. Let a = -1 + 51. Suppose -3*s - 47 + a = 0. Calculate the lowest common multiple of s and p.
10
Let f = 2314 + -25422/11. What is the common denominator of 4/53 and f?
583
Let m be 9 - (1 - (-4)/2). What is the smallest common multiple of ((-3)/2)/((-63)/84) and 1 + (-2)/(-1) + m?
18
Calculate the common denominator of -35/138 and ((-2)/(-7))/(64*(-30)/(-19180)).
1104
Calculate the common denominator of -29/4 and -7 + 9 - 1 - (-206)/(-8).
4
Let i(v) = -2*v - 1. Let x be i(2). Calculate the smallest common multiple of (x/40)/(2/(-16)) and 4.
4
Let i = -2262190 + 27106753/12. Let c = i + 3300. Find the common denominator of c and -3/22.
132
What is the lowest common multiple of (53 - (5 - -3)) + 3 and 32?
96
Suppose -8*p - 5285 = -p. Find the common denominator of -91/18 and (p/300)/((-2)/5).
72
Let o(d) = -d**2 + 15*d + 133. Let y = -21/851 + 62942/33189. Calculate the common denominator of o(-7) and y.
39
Let j be 501503*(1 + (-57)/54). Let n = j + 27869. What is the common denominator of 89/16 and n?
144
Let m(j) = -6*j**2 - 16*j + 12. Let p be m(6). Find the common denominator of -57/10 and ((-4)/40)/(56/p).
140
Let x(g) = g**2 - 8*g + 8. Let i be x(7). Let j be (81/(-6)*2)/i. Let v = -21 - j. What is the lowest common multiple of v and 10?
30
Let u = 1778129/7138470 + -1/13997. Find the common denominator of u and -77/153.
1530
Let r(y) = 3*y**2 + 3*y + 2. Let z(c) = -c + 14. Let j be z(16). What is the lowest common multiple of r(j) and 9?
72
Suppose -m = 3*a - 35 + 165, -126 = 3*a + 3*m. Let t = a - -49. What is the lowest common multiple of t and 3?
15
Let p = 39 - -37. Let q = -46 + p. Calculate the least common multiple of 39 and q.
390
Let p(t) = -t**2 - 6*t - 1. Let k be p(-5). Calculate the least common multiple of 16 and (k - 6/2)/((-1)/(-2)).
16
Let l = 6925/4 + -1713. Find the common denominator of l and 41/186.
372
Find the common denominator of -21/11 and 278/2363 - 1647/121