 Calculate the common denominator of f and 47/465.
5115
Let x = -7/11567 + -1168071/323876. Find the common denominator of x and (-4)/(-14) + 26/126.
252
Let u = 17595121/13151798 - 2/177727. Let v = 3/7630 - 3216051/15260. Let n = -212 - v. What is the common denominator of n and u?
148
What is the lowest common multiple of -2*(-2)/(-20) - 426/(-30) and 1396?
9772
Let k = -21 + 22. Let t be ((-1252)/10*1)/(k/10). Find the common denominator of 31/18 and -4 + t/(-120) - 4/(-10).
18
Let j = 709157/62 - 11438. What is the common denominator of 1/4 + (-17)/12 and j?
186
Let u = -1497359/48 + 31192. What is the common denominator of 43/1029 and u?
16464
Suppose -38*k + 27*k + 1386 = 0. Let v = -1255 + 7567/6. Find the common denominator of 298/(-30) + k/(-189) and v.
30
Let w = 432 - 415. Let a(z) = -z**2 - 5*z + 3. Let b be a(-6). Calculate the least common multiple of (w + b - 3) + 1 and 10.
60
Suppose 1485*h + 44070 = 1500*h. What is the lowest common multiple of h and 12?
17628
Suppose 11*k + 1725 = 4882. Let m = -3433/12 + k. What is the common denominator of 183/27*3/(-2) and m?
12
Let p = 2659 + -2413. What is the lowest common multiple of p and 28?
3444
Let l = -35 - -51. Let p = 16 - l. Suppose p = 2*v - 19 + 3. Calculate the lowest common multiple of 5 and v.
40
Let w = 41 - 39. Calculate the common denominator of -1 + (-73)/(-18) + w and (-1 - -1)/(-4) + (-137)/(-12).
36
Let a = -46 - -47. Let t = a - 58/13. Calculate the common denominator of t and (0 + (-2)/10)/(6/(-710)).
39
Calculate the common denominator of 13/258 and ((-10)/12)/(48/(-416)).
774
Let w = -5727/1460 - -69/146. Let r be 8/96*13/(-6). Let z = r - 307/144. Find the common denominator of z and w.
80
Let l(d) = d**3 + d**2 + 58. Let f be l(0). Suppose f*j - 57*j - 26 = 0. What is the smallest common multiple of j and 20?
260
Let c = 208493/3630 + -1733/30. Calculate the common denominator of 16/1045 and c.
11495
Suppose 3*w - 5 = 8*w. Let s(q) = -17*q + 13*q - 23*q**3 + 6*q + 9*q**3 + q**2 + 1. What is the least common multiple of 8 and s(w)?
56
Suppose 69*s = -359 + 83. Calculate the common denominator of -62/21 and (s/(-16)*43)/((-54)/8).
189
Suppose 193 = 4*l - 5*o, -27*l + 30*l + 3*o = 111. Suppose -11*k = -9*k - l. Suppose -13 = -w - 3. Calculate the smallest common multiple of k and w.
210
Let x(g) = 2*g**3 - 33*g**2 + 16*g - 10. Let b be x(16). Calculate the smallest common multiple of 2 and ((-65)/b - 4)/((-1)/(-2)).
10
Let i = 139 + -121. Calculate the smallest common multiple of i and 17/204 + 16555/60.
828
Suppose -204 = 29*n - 35*n. Let h = -474 + 492. Calculate the smallest common multiple of h and n.
306
Let b = 3208 + 15372. Let i = b + -1653653/89. Calculate the common denominator of i and 47/8.
712
Let o = -748 - -738. Let v(s) = -5 - 2*s**2 - 8*s**2 - 5*s - s**3 + 4*s. What is the lowest common multiple of v(o) and 2?
10
Suppose -2978 = -3*c - 11*x + 9*x, -5*c + 4962 = 3*x. What is the smallest common multiple of 45 and c?
990
Suppose -5*j = -2*u - 5 - 9, 4*j - 3*u = 7. What is the lowest common multiple of 61 + 2*(-4)/(-8) and j?
124
Let d(s) = -s**3 + 2*s**2 - s. Let t(k) = k**2 + 23*k - 3. Let b be t(-7). Let h = -111 - b. What is the lowest common multiple of h and d(-2)?
36
Let n = -67951/16 - -4244. Suppose -144*b = -148*b + 8. What is the common denominator of ((-15)/38 - 2) + b and n?
304
Suppose 2*g = -5*f - 2*g + 248, 4*f - 4*g = 184. Let r(i) = 2*i**2 - 96*i + 24. What is the least common multiple of r(f) and 6?
24
Let y = -905/92 - -1/276. Let j be (-3)/1 + 3*(-1108)/(-1100). Let h = j - -2899/5775. Calculate the common denominator of h and y.
42
Calculate the common denominator of 26 + 2*(-92193)/7074 and 97/24.
9432
Calculate the common denominator of 21/((-1386)/(-55)) + 179/(-48) and -31/120.
240
Find the common denominator of (36114/(-416))/(-3) + -23 and -29/11702.
93616
Let w(b) = -6*b**3 + 3*b**2 - b + 22. Calculate the lowest common multiple of w(-5) and 66.
9372
Suppose 0 = 2*o - 5*i - 111, -3*i + 321 = 5*o - i. What is the lowest common multiple of o and 216?
1512
Suppose -5*s + s + 3*a - 99 = 0, -5*s - 4*a - 116 = 0. Let j = 525 + -3704/7. Calculate the common denominator of j and 439/20 - (-5)/(s - 1).
28
Let v = -1292/169 + 608107/78416. Let l = 17279/4176 - v. Find the common denominator of 1 + (145/(-12) - -1) and l.
36
Suppose 23*p - 39 = 10*p. Suppose 9*b - 108 = -p*j + 10*b, -2*j + 72 = -5*b. What is the lowest common multiple of 60 and j?
180
Find the common denominator of -43/1056 and ((-495)/254100)/((-12)/505).
7392
Suppose 5*o - 33 = -228. Let s be ((-8)/(-24))/((-1)/3) - o. Let n = s + 12. Calculate the least common multiple of 2 and n.
50
Suppose -2*k - 3*d = 19, 4*k - 3*k = -4*d - 12. Let y be (0 - k)/((-4)/(-8)). Find the common denominator of -61/32 and (-2)/y*54/(-4)*-6.
32
Suppose 2*v - 5*v + u + 48 = 0, -5*v + 80 = -3*u. What is the common denominator of (-14)/4 + 1/(-4) and ((-730)/v)/(-5) + 2?
8
Let d = 20 - 12. Let w = 146615 + -146381. Calculate the smallest common multiple of w and d.
936
Calculate the common denominator of -109/12 and (-10)/275 + 1700434/25493160.
2604
Let s = 1122 + -1124. Find the common denominator of ((-41)/2)/(18/(-4)) and 4 + -19 - (48/(-18) - s).
9
Let n be ((-48)/40)/(-2 - (-224)/110). Let o(u) = -u**2 - 33*u + 18. What is the lowest common multiple of 6 and o(n)?
18
Suppose 0 = -p - 2*n + 850, 2*n - 2836 - 534 = -4*p. Calculate the lowest common multiple of 120 and p.
840
Let f(s) = -s + 2. Let u be f(1). Let w(h) = 7*h**2 + h - 2. What is the least common multiple of w(u) and (-801)/(-45) - 14 - 1/(-5)?
12
Let c = 275 - 279. What is the least common multiple of 9 and (-2210)/(-78) + c/3?
27
Let a = 474 - 474. Find the common denominator of 14858/1224 + a + -8 and 17/54.
108
Let j = -4472 + 187903/42. Calculate the common denominator of 99/74 and j.
1554
Let b = -4490 + 5153. What is the smallest common multiple of 39 and b?
663
Suppose -5*g + 112 = 22. Suppose 3*w - 7*w = 28. Let y = g + w. What is the least common multiple of y and 11?
11
Let q = 22679 - 11702497/516. Find the common denominator of -70/129 and q.
516
Let i = -374/145 - -251441/93380. Find the common denominator of i and 101/42.
1932
Let k be 27/(-18)*-2 + 0. Suppose -k*o = -2*u + 14, -12*o = -7*o - 2*u + 18. Calculate the common denominator of (-2)/((-20)/(-46)) - 0 and o.
5
Suppose 12*k - 9*k + h = 2, -3*k + 10 = -h. Find the common denominator of 83/28 and 1377/(-1296)*2*k.
28
What is the lowest common multiple of 11*(-14)/(-55)*5 and 3884?
27188
Let a = 4215 + -92693/22. Find the common denominator of a and 73/8.
88
Let k = 6026185/9 - 670733. Let x = k - -1158. What is the common denominator of -23/108 and x?
108
Let l = -46185/13 + 3555. Calculate the common denominator of ((-5 + 38/4)*6)/(-59) and l.
767
Let r(z) = z**3 - 6*z**2 - 12*z + 16. Suppose 114 = 20*i - 46. What is the lowest common multiple of 16 and r(i)?
48
Let i = -1490 + 830. Find the common denominator of -46/11 and (-1)/(-3) - (-76)/i.
55
Let b(m) = 2*m**2 + 32*m - 22. Let f be b(-17). Let t be 6/(-26)*f/(-26766). Let z = -2107099/193310 + t. Calculate the common denominator of 23/4 and z.
20
Let q = 644143/21 + -30664. Let k = q + 239/42. Find the common denominator of (-4)/30*28 - 0 and k.
30
Suppose -w = 3*b - 27, -27*b + 32*b + 125 = 4*w. What is the lowest common multiple of (w/3)/((-13)/(-52)) and 20?
40
Find the common denominator of -51/145 and (4/(-14))/(9048/3822).
290
What is the common denominator of ((-18)/(-12))/((105/(-117))/(-5)) and (-9)/36 - (-70)/(-88)?
154
Suppose 5*z + 109 = -y, 3*y = 4*z - 498 + 114. Let r = y - -236. Calculate the least common multiple of 7 and r.
112
Let j = -99689/7 - -797547/56. Let i = 1009/213 - 5/71. Calculate the common denominator of j and i.
24
Let d(i) = i**2 - 21*i + 77. Calculate the smallest common multiple of 116 and d(17).
1044
Let r = -707152/33 - -21431. Find the common denominator of -47/2778 and r.
30558
Let r(f) = -f**3 - 8*f**2 - 8*f - 21. Calculate the common denominator of (-4)/22 - 8/4686*207 and r(-8).
71
Let r = -2058222/11 + 5273163587/28182. What is the common denominator of 52/135 and r?
115290
Let w = 44894 + -68957173/1536. What is the common denominator of -85/19