culate the common denominator of 45/14 and v.
84
Suppose 4*k = 5*o + 76, 2*k - 2*o = 60 - 20. Calculate the smallest common multiple of k and 104.
312
Let c = 2221823687178175445/356635420911948 - -78/50117400353. Let a = -5065/593 + c. Let v = a - 6216. Calculate the common denominator of -115/18 and v.
36
Let i(f) = -f - 18. Suppose w = 8*w + 126. Let k be i(w). Calculate the least common multiple of 9 and ((-16)/4)/(k + -1).
36
Let h = -10097/18340 + 1/1834. What is the common denominator of (1072/(-40) - -18)*10/28 and h?
140
Let x(z) = 3 - 2*z + 6 - 9. Suppose v = 2*y + 7, -5*y + v = -3*v + 25. Calculate the smallest common multiple of 1 and x(y).
2
Let l(m) = 5*m**3 - 2*m**2 - m - 1. Let i be l(2). Suppose 3*x + 2 = i. Calculate the smallest common multiple of 8 and (-6)/x - 186/(-9).
40
Let c(x) = -x**3 - 5*x**2 + x + 6. Let o(f) = 2*f - 1. Let d be o(-2). Let b(m) = -2*m**3 - 3*m**2 + 1. Calculate the lowest common multiple of b(-2) and c(d).
5
Let r = 26/4561 + 330665/401368. Calculate the common denominator of r and 157/264.
264
Let u(g) = -5*g**2 + g + 2. Let f(w) = w**3 - w**2 - w - 1. Let c be f(0). Let k be u(c). What is the common denominator of 5/4 and (k - (-7 + 4))*29?
4
Suppose -x + 1 = -1. Suppose -u = k + 3*k + 4, k = -u + x. What is the smallest common multiple of -3 + (23 - -1) + -7 and u?
28
Calculate the common denominator of 35/143 and 40/50 - 4*(-44)/(-520).
143
Let z(o) = -o**3 + o**2 + o. Suppose 4*r + 5 + 3 = 0, 6 = -v - 5*r. Calculate the lowest common multiple of z(-1) and v.
4
Let s be (2 - 0)/(2/(-2)). Let a(h) = 3*h**3 + 3*h**2 + 3*h + 3. Let r = 40/57 + 2000/399. Calculate the common denominator of a(s) and r.
7
Let y = 10 + 6. Suppose -2*n - 5*b = -y, 0 = -2*b + 2 + 2. Suppose 44 = -q + n*q. Calculate the lowest common multiple of q and 12.
132
Let s = 956 + 1178. Find the common denominator of (-8)/(-28) - s/168 and 66/(-2 - (-116)/(-6)).
96
Suppose 22*m - 26*m + 48 = 0. Find the common denominator of (25/15)/5 - (-374)/m and -8*-1*6/33.
22
Let b be (-8)/(-5) - (-26)/65. Let f be b/(-13) + 3413079/(-2574). Let o = f - -2659/2. What is the common denominator of 79/4 and o?
44
Suppose -2*h + 1 = -4*n - 47, 4*h + n = 123. Suppose 1006 - 1031 = -5*q. Calculate the least common multiple of h and q.
30
Let u(h) = 3*h**2 - 20*h + 42. Let q be -6*(-2 + 1)/2. Let r(a) = a**3 - 4*a**2 + 4*a + 1. Calculate the lowest common multiple of r(q) and u(4).
20
Suppose -5*i + 0*s - 2*s + 51 = 0, 3*i + 3*s - 27 = 0. Calculate the least common multiple of 78 and i.
858
Let n = 3 - 1. Let c = -14917 + 14926. Calculate the least common multiple of c and n.
18
Let w be 24/(-9) + 2/(-6). What is the common denominator of 4/6 - (-123)/(-6) and ((-68)/(-4))/(10/w)?
30
Let m = 11026535/102 - 108106. Let d = m - 2/17. Find the common denominator of d and -19/14.
42
Let p be (3850/(-4))/(-5)*(-8 - 2). Find the common denominator of 80/33 and (4/14)/(33/p).
33
Let i(v) = 7*v - v**3 + 7*v + 11*v**2 + 3 - 7. Calculate the smallest common multiple of 8 and i(12).
40
Let k(p) = 32*p**2 + 3*p + 3. Calculate the lowest common multiple of 32 and k(-1).
32
Let d be (4 - 2) + (38 - (2 - 1)). Suppose -4*b - 4*c = -3*c - d, 2*b + 3*c = 17. Calculate the smallest common multiple of b and 2.
10
Calculate the lowest common multiple of 64 and 68 + 638/(-145) + 4/10.
64
Suppose -8*f = -f + 42. Calculate the common denominator of -2 - f/2 - (-1079)/(-234) and -11/9.
18
Let y be -8*2*1/(-4). Suppose y*i + 18 = 58. Let f(g) = -g**3 + 15*g**2 - 27*g + 16. Calculate the least common multiple of f(13) and i.
30
What is the lowest common multiple of 11 and (1 - 3/9)/((-52)/(-546))?
77
Let q(n) = -n**3 + 6*n**2 + 6*n + 9. Let s(m) = m**3 + 4*m**2 + 2*m + 6. Let d be s(-5). Let b = -9 - d. Calculate the smallest common multiple of q(7) and b.
20
Let c = -38 + 40. Suppose -4*v + 7 = -5. Suppose -v*o - u = c*u + 3, 3*u + 11 = -o. What is the smallest common multiple of 8 and o?
8
Let k be (-1 - -4) + 129*(-1)/(-3). Let y = 49 - k. Calculate the lowest common multiple of y and 10.
30
What is the common denominator of (-1617)/(-1540)*(-95)/18 and -93/128?
384
Let x be 7/(245/(-10)) + 9/7. Find the common denominator of (23/10 - -2) + x and 1/2.
10
Let w = -12379/6 - -2068. What is the common denominator of 603/(-90) + (-2)/(2*2) and w?
30
Suppose -2*u = -4*x + 20, -u + 2*x = 4*x - 2. Let o be 2/(-4) - 10/u. What is the smallest common multiple of 8/(-4) - (-14)/o and 2?
10
Let z = 35 + -33. Calculate the common denominator of (-49)/25*(-5)/2 and (z - 1)/(72/(-534)).
60
Suppose -4*m = -0*m - 32. Let l = 8/9 - -196/9. Find the common denominator of l and (-133)/(-6) + 16/m.
6
Suppose 2*b - 456 = -b + 2*d, 0 = 4*b + d - 597. What is the smallest common multiple of 150 and b?
150
Suppose 14 = -5*w - 6. Calculate the common denominator of 5/3 and w/8*(-130)/(-4)*2.
6
Let q = -130 + 127. What is the common denominator of 588/152 + 9/q and 51/10?
190
Suppose 8*n - 1 = 9*n. Calculate the common denominator of ((-442)/(-65))/(n/(30/32)) and -29/66.
264
Let h = 33 - 50. What is the least common multiple of 16 and (0 - -24)/(-15 - h)?
48
Let t(p) = p**2 + 11*p + 9. Let n be t(-10). What is the common denominator of 2*n + (-490)/(-120) and -31/194?
1164
Let n be (22/4)/((-3)/(-6)). Suppose -o + n = -0*b + 2*b, -8 = 2*o - 2*b. What is the least common multiple of o and 8?
8
Suppose -33*v + 20 = -37*v. Calculate the smallest common multiple of (32/(-10))/(1/v) and 4.
16
Calculate the lowest common multiple of ((0 - (-2 - 4))*-11)/(-1) and 22.
66
Suppose 2*i - 24 = 3*x, -3*i + 35*x = 30*x - 35. Calculate the least common multiple of 55 and i.
165
Suppose -17*t + 61 = -41. What is the smallest common multiple of t and 22?
66
Let p(q) = 4*q + 39. Calculate the lowest common multiple of 23 and p(-7).
253
Let a(u) = 5*u - 15. Calculate the lowest common multiple of 55 and a(6).
165
Suppose 0 = -102*a + 106*a - 44. What is the smallest common multiple of 141 and a?
1551
Suppose 2 = -2*b + 12. What is the common denominator of (-30)/(-45) - 1001/210 and (-193)/(-30) + 2/b?
30
Let x = -237/16 - -1247/48. Find the common denominator of -7/2 and x.
6
Let q be 32/6*(-15)/(-2). Suppose 8*o - 3*o - q = 0. Let l(d) = 5*d - 9. What is the smallest common multiple of o and l(3)?
24
Suppose 5 = 2*v + 3. Let x = v - 2. What is the common denominator of (x/(-8))/((-25)/(-20)) and 31/6?
30
Let a = 3417 - -7441. Let d = 152093/14 - a. Find the common denominator of -71/12 and d.
84
Let j = 267 + -264. Calculate the least common multiple of j and 1.
3
Let r be 1483/(-22) - (-5 - -5). Let l(y) = 3*y**2 + 8*y + 7. Let j be l(-6). Let c = j + r. Calculate the common denominator of -19/22 and c.
22
Let c = 312 - 293. Calculate the least common multiple of 2 and c.
38
Let m(j) = 9*j - 1. Let a be m(15). Suppose -3*v + 169 = -a. Calculate the lowest common multiple of v and 6.
606
Let a = 3/1825 - 83977/16425. Calculate the common denominator of a and 34/9.
9
Let t = -3181/80 - -591/16. What is the common denominator of t and -41/28?
280
Suppose 5*s = 8*s - 1335. Find the common denominator of 58/27 and 1/8 - (0 - s/(-72)).
54
Let h be 14/(-42) + 0 + 23707/(-1158). Let g = h - 16/579. Find the common denominator of g and -41/27.
54
Let c be 3 + (-1)/((-218)/(-618)). Let y = c - -3743/436. Find the common denominator of y and -11/16.
16
Calculate the lowest common multiple of 161 and (-4)/(-18) - ((-13030)/90 + 7).
966
Suppose -18*v + 720 = -0*v. What is the lowest common multiple of v and 200?
200
Let j be (-880)/(-12)*(-18)/4. Let z = -128 - j. What is the common denominator of 65/4 and ((-1)/(-4))/((-3)/z)?
12
Let m(z) = -z + 3. Let x be m(-11). Let r = 13 + x. Calculate the least common multiple of 9 and (-10)/(-3)*r/18.
45
Let u = 0 - 0. Let m = 4 + u. What is the smallest common multiple of (4/10)/((-1)/(-15)) and m?
12
Find the common denominator of (4*635/(-130))/20 and 73/117.
1170
Let x = 8803/16 - 550. Calculate the common denominator of 23/268 and x.
1072
Suppose 49 = 4*n + 1. Suppose -4*m = -r - 61, 6*m = 3*m + 5*r + 67. What is the smallest common multiple of n and m?
84
Let j = 2/259329 - -24635159/142112292. Calculate the common denominator of 109/20 and j.
2740
Find the common denomina