0182. Let c = 229165 - b. Let f = 314 - c. Find the common denominator of f and 30.
11
Suppose 3*i - 243 = -3*o, 0 = 5*o - 4*i + 3*i - 405. Let y = o - 69. Suppose -n + 9 = c - y, 2*n = -6. Calculate the smallest common multiple of c and 12.
24
Let x(n) = 3*n**2 - n + 4. Let p be x(-4). Suppose -4*u = 3*u + p. What is the smallest common multiple of (-3 + (-90)/u)*(-16)/(-6) and 64?
704
Let k = -456 + 1164. Calculate the smallest common multiple of 189 and k.
44604
Calculate the common denominator of ((-2)/10)/(112/(-20)) and -35/348.
2436
Let g = 2265/8 + -336173/1192. Let b = -5780133314551/952663837470 - 1/213123901. Let t = g + b. Find the common denominator of -31/27 and t.
270
Suppose 3*i = -a + 499109, 3*i - 4*i = 5*a - 166365. Let b = 56898599/342 - i. Find the common denominator of -51/10 and b.
1710
Let z = 23 + 2. Suppose 4*g = z*s - 23*s + 10, s = g - 3. What is the smallest common multiple of g and 28?
28
Let n be (1302/(-11472))/((-6)/436). Let v = 2/717 + n. Find the common denominator of 186/(-144) + ((-4)/(-32))/1 and v.
12
Let d(y) = -31*y - 188. Let k be -13 + (12/4 + -6 - -6). Calculate the least common multiple of 5 and d(k).
610
Suppose 4*p + 20 = 56. Suppose 5*f + 0*s - 95 = 5*s, 4*f = -3*s + 69. Calculate the smallest common multiple of f and p.
18
Let v(u) = -u**2 - 13*u - 2. Let g be v(-13). Calculate the common denominator of (26/g + 4)*(-3)/14 and 17/20.
140
Suppose 0 = u - 3*d - 102, 5*d = -5*u + 2*u + 250. Calculate the smallest common multiple of 2250 and u.
2250
What is the common denominator of ((-294)/(-75))/(10 + -10 - 92/(-5)) and 43/16?
1840
Let x = 171154074461/15432 + -11090855. Calculate the common denominator of x and -55/14.
108024
Suppose 73*z = -63*z - 12*z + 1776. Suppose 0 = h - 165 + 51. What is the smallest common multiple of z and h?
228
Let v = -8867977/78 + 113690. What is the common denominator of -4 - (-470)/115 - (-6828)/828 and v?
78
Suppose 98*a = 31*a + 737. What is the least common multiple of 253 and a?
253
Suppose 2*w - 789 = -285. What is the common denominator of 4/14 - ((-915)/w - -7) and -58/27?
108
Suppose -2*z = -7*z + 45. Let v be 71/(-3393) + 1/z. Let u = 11749/9048 - v. Calculate the common denominator of u and 3/10.
120
Let v = -289 + 287. What is the common denominator of (v/(-30))/(874/4209) and -59/6?
570
Find the common denominator of 29/18 and 0 + (1/1 - (455/77 + -10)).
198
Let k = 516/359 + -1834355/1290964. Calculate the common denominator of k and 7/310.
17980
Let f = 68 - 55. Suppose -f*y + 15 = -310. Calculate the least common multiple of 35 and y.
175
Suppose -24 = -2*g - g. Calculate the least common multiple of 1392/228 + -6 + (-376)/(-38) and g.
40
Let t(i) = 118*i**3 + 2*i**2 + 5*i - 3. Let z be t(2). Let q = 14393/15 - z. Calculate the common denominator of -47/50 and q.
150
Find the common denominator of (-56733)/(-34164) + -2 + 234/507 and 143/1752.
1752
Let m(b) = b**2 + 36*b - 165. Let w be m(-39). What is the common denominator of (-711)/966 - 2/7 and 4/w*-9*88/108?
414
Suppose -3*n + 15 = 2*n. Suppose 6*i = n*i - 6. Find the common denominator of 119/30 and ((-39)/90)/(i/25).
60
Suppose 0 = 28*h + 263 + 661. Let l(u) = -u**3 - 33*u**2 - 2*u - 46. What is the smallest common multiple of 12 and l(h)?
60
Suppose 0 = -9*v + 11*v - 38. Let r(x) = v*x - 9*x + 19 - 11*x. Calculate the least common multiple of 18 and r(10).
18
Suppose 9*l + 1067 = -2*l. What is the common denominator of (l/14)/(12/21*-3) and -127/48?
48
Suppose 0 = -127*h + 126*h. Suppose 2*s - 14*s + 132 = h. Suppose -i + 0 = -4. Calculate the least common multiple of s and i.
44
Suppose -136 = -5*p + 9*p. What is the common denominator of 1/3 + (-80)/(-6) and p/(-8)*(-104)/(-65)?
15
Let d = -7776 - -7830. What is the least common multiple of 6/21 + (-2825)/(-35) and d?
162
Let c = -33488 - -2143291/64. Calculate the common denominator of c and 55/64.
64
Let h = 189 - 69. Suppose -5*a + 5*m = -h, -4*m - 5 = 3*a - 77. What is the lowest common multiple of 4 and a?
24
Let f = -12144 + 655871/54. Let v = -315257/36 + 8759. Calculate the common denominator of v and f.
108
Let i = 27 - 15. Suppose 0 = 33*b - 31*b. What is the lowest common multiple of (2 - b) + 36 + -5 and i?
132
Suppose -12 = -r - h, -2*r + 0*h + 2*h = -8. Let i be (-18 - r)/((-40)/18062). Let s = i - 11750. Calculate the common denominator of -59/18 and s.
90
Suppose 0*d - 29701 - 17379 = -22*d. Calculate the smallest common multiple of d and 12.
6420
Suppose -s + 4994 = 944. Suppose -u - 5*r = 11460, 61371 - s = -5*u - 4*r. Let a = u + 240713/21. Calculate the common denominator of a and 14/15.
105
Let s = -19451836741/5758 - -3378228. Calculate the common denominator of -107/14 and s.
40306
Let p be (-74)/259 + (-9669)/91. Let s = 107 + p. Find the common denominator of -13/8 and s.
104
Let q(s) = -s**2 - 17*s - 24. Let y = -71 - -60. Suppose -4*n + j = -34, 5*n + 5*j = -7 + 37. Calculate the least common multiple of n and q(y).
168
Let w be 5/10 - (-1452591)/224. Let s = w - 6486. Find the common denominator of (-115)/(-12) + 2 + 0 and s.
96
Let w(l) = -39*l**2 - 1. Let y(q) = q. Let p(s) = -w(s) + 2*y(s). Let j be p(3). Calculate the lowest common multiple of ((-8)/(-5))/8 - j/(-10) and 24.
72
Suppose 5*p - 4*v - 7736 = 0, 0 = -p - 2*p - 2*v + 4624. Find the common denominator of p/(-330) + ((-96)/45)/(-16) and (-15)/(-2)*(-1)/(-3).
22
Let j(z) = z**3 - 14*z**2 - 15*z + 14. Let f be j(15). Suppose 0 = 17*r - f*r - 36. Calculate the lowest common multiple of r and 14.
84
Let g = -29 - -73. Suppose -18*p + 22*p = 120. Calculate the smallest common multiple of g and 334/p - 4/30.
44
Suppose -4*f - 5*y = -14, 3*f - 7*y + 9 = -2. What is the smallest common multiple of f and 6892?
6892
Suppose 319*j = 312*j + 7. What is the smallest common multiple of 5 and (0/(-3) + 1)*(j - -105)?
530
Let x = -538 + 540. Calculate the smallest common multiple of 3 and 6*(x + 6/(-18)).
30
What is the common denominator of -1*(620/(-50) + 17) and (-2)/(-5) + 353/180?
180
Find the common denominator of -101/108 and (-1 - (-340)/(-176))*7/105.
5940
Calculate the common denominator of (2*(0 - 28/(-8)))/(8580/90) and -41/56.
8008
Let y = 151 + -139. Find the common denominator of -3 + (-111)/y + 3 and -99/74.
148
Suppose -10*c + 246 = -154. Let o(m) = m**3 - 10*m**2 + 6*m - 55. Calculate the least common multiple of o(10) and c.
40
Let i be (2/14)/((-70)/134453851). Let t = i - -1971898/7. Let j = t - 7292. What is the common denominator of 73/4 and j?
20
Let c be 22/(-3)*-3*37407/(-740). Let z = c + 1111. Find the common denominator of z and (-6721)/(-3120) - (-2)/10.
240
Let k(j) = 2*j**2 + 6*j + 2. Let h be k(-3). Suppose -q + 40 = 2*n, -h*q - 2*n = -5*n - 66. What is the lowest common multiple of 36 and q?
36
Let s = -553378/155637 + 2/155637. What is the common denominator of (-279)/60 - 2/(-5) and s?
36
Suppose -4*r + 3*w = -9*r + 15, w = -2*r + 5. Suppose -6*g + r + 36 = 0. Calculate the common denominator of (-18)/g + (-86)/(-32) + 0 and 73/20.
80
Suppose -363*q + 61*q + 3624 = 0. Calculate the smallest common multiple of 3 and q.
12
Let u be 0 + 2434*145/(-24). Suppose 38*z - 41*z = -44151. Let w = u + z. Find the common denominator of w and 115/24.
24
Let p = 47/18 + -70/9. Let u be ((-4)/6)/((-6)/(-477)). Let i = u + 16. Calculate the common denominator of i and p.
6
Let z be ((-5)/(10/(-174)))/1. Let q = -94 + z. Calculate the least common multiple of 22 and (7 - -49)/q*(-2)/2.
88
Calculate the common denominator of ((5*(-2)/14)/(1898/511))/4 and -7/16.
208
Suppose -3*h = 3, v - 5382 = 4*h - 752. What is the least common multiple of 126 and v?
32382
Let w = -477887938183/17945823 - -29225868/1097. Let u = w + -1438/123. Find the common denominator of u and 23/21.
399
What is the lowest common multiple of 30360/(-1485)*144*-1 and 23?
2944
Suppose -5*h = -15, 0 = -5*b + 2*b - h + 6903. Let j = -13769/6 + b. Find the common denominator of j and (2 - -1) + (-909)/207.
138
Suppose 16 = 12*d - 32. Calculate the lowest common multiple of 947 and d.
3788
Let s be 3058/(-77) - (-4)/(-14). Let l = 39 + s. What is the common denominator of -38/3 and l/(-12)*33/(-2)?
24
Let g = -1303042/517 + 5041/2. Find the common denominator of g and 57/658.
7