39070/7 + -231583213/1932. Calculate the common denominator of s and -1/24.
3864
Suppose 0 = 2*s + 3*s + x - 463, 0 = -4*s - 4*x + 380. Calculate the lowest common multiple of 263/11 + 219/2409 and s.
552
Suppose -2*d + 0*d + 378 = 4*o, 0 = -4*d - 4*o + 752. Suppose m + d - 219 = 0. Let w = 16 - 6. Calculate the least common multiple of m and w.
160
Suppose -9*i + 19*i - 20898 = -33*i. Calculate the smallest common multiple of 486 and i.
486
Let v(c) = c**2 + c + 23. Let o be v(-6). Let j = 67 - o. Suppose 15*p = j*p + 24. What is the lowest common multiple of p and 33?
264
Suppose -68 = -1049*a + 1045*a. What is the common denominator of 73/3426 and a?
3426
Let p(w) = 33*w**2 - 20*w - 3. Let d be p(-4). Calculate the common denominator of 5/12*(-6)/((-300)/d) and 33/8.
24
Let s(l) = -2*l**3 - 29*l**2 - 8*l + 58. Let x be s(-14). Let u = x - -189. Calculate the least common multiple of 10 and u.
1630
Let d = 7748/17 + -3153929/6919. Calculate the common denominator of -81/242 and d.
8954
Let t = 1 + 43. Suppose 18 = 2*g - 5*p, -4*p - 12 = 80*g - 81*g. Calculate the lowest common multiple of g and t.
44
Let d = 165 + -106. Let n = 63 - d. Suppose l = -n*l + 25. What is the smallest common multiple of 10 and l?
10
Suppose 19*a - 14608 = 63*a. Let d = 1 + -1. Find the common denominator of -83/6 and a/20 - (-4 - d).
30
Suppose 4*r - 55791 - 71889 = -s, -4*s + 510701 = -3*r. Let o = s + -7660381/60. Find the common denominator of 26/135 and o.
540
Let p = 89153/79650 + -52/1593. What is the common denominator of 53/370 and p?
5550
Let c(r) = -4*r**2 + 109*r - 26. What is the smallest common multiple of 1380 and c(27)?
1380
Suppose 0 = 21*m + 5723 - 1418. What is the common denominator of 38/13 and 10*(-7)/(-280) - m/(-156)?
78
Let l(z) = -2496*z**2 - z. Let b be l(1). Let j = b + 52463/21. Calculate the common denominator of j and ((-2197)/351 + 6)/(0 + 1).
189
Let k = -18 + 28. Let w = 432 - 261. Let l = w - 69. What is the lowest common multiple of k and l?
510
Let j = 1283673/8 - 160453. Find the common denominator of ((-230)/96*1)/1 and j.
48
Suppose -16*d = 2*s - 19*d - 34, 3*s + 6 = -5*d. Suppose 0 = j - 10 - 2. Calculate the smallest common multiple of j and s.
24
Suppose 63*v = -v + 40*v + 1152. Calculate the lowest common multiple of v and 386.
9264
Let l(k) = -4 + 0*k**3 + 8*k**2 - 17*k - k**3 + 11*k. Let q be l(7). Let j(z) = z**2 + 2*z - 6. Calculate the smallest common multiple of 33 and j(q).
99
Suppose -d - j + 483 = 2*j, -4*j - 490 = -d. What is the least common multiple of 285 and d?
46170
Suppose -6*w = -9*w + 171. Suppose 4*u = w + 55. What is the smallest common multiple of (-260)/(-78)*(-24)/(-10) and u?
56
Suppose -12 = -3*d, -3*z - 5*d - 34 = -108. Let t(f) = -6*f - 3*f**2 - 8*f**2 - 6*f - f**3 - 8. What is the least common multiple of z and t(-10)?
36
Let n(o) = -o**3 - 14*o**2 - 16*o - 27. Let c be 0 - -3 - 3 - -1 - 4. Let j be -13*(2 + c + 0)*-1. Calculate the least common multiple of 8 and n(j).
24
Let c = 148130/3 - 49987. Let q = -14611/24 - c. Calculate the common denominator of q and 51/16.
48
Let a(d) = 7*d + 64. Let k(x) = 1 - x**3 + 2*x - x - 2*x + 3*x**2 + 3*x. What is the smallest common multiple of k(3) and a(-9)?
7
Let u = -21 + 37. Let b(x) = -2*x**2 - 31*x + 37. Let o be b(-16). Suppose -2*f + 45 = -5*l, -3*l + 6 - o = 0. Calculate the lowest common multiple of u and f.
80
Let s(y) = y**3 - 4*y**2 - 2*y - 7. Let l be s(5). Let r = 4127/4 + -1014. Find the common denominator of -47*2/(-30)*20/l and r.
12
Let o be ((-8)/6)/(4304/2148 - 2). What is the common denominator of o/40 + 65/13 and -107/20?
20
Let z be -10 - 11/(132/(-120)). Let s(d) = -d**3 + 2*d**2 - 2*d - 2. Let q be s(-2). Suppose z*y + q = 6*y. What is the lowest common multiple of 7 and y?
21
Let d = 1/4870 + 163069/370120. Calculate the common denominator of -15/376 and d.
7144
What is the common denominator of 2/(108/(-222)) - (-105)/15 and -2/127?
1143
Let l = -22538/1173 - -336/17. Calculate the common denominator of l and (0 - (-242)/108)/(180/(-540)).
414
Let h = -9 - -13. Suppose h*l + 36 = -2*b, 0 = -2*l - b - b - 20. Find the common denominator of ((-3)/l)/((-180)/(-3792)) and -37/4.
20
What is the common denominator of -23/110 and -93*2/792*5/4?
2640
Suppose 10*g = 16 + 44. Suppose -2*w = -5*w + 45. What is the lowest common multiple of (g/(-4))/((-2)/4) and w?
15
Let q(l) = 4*l**2 - 5*l - 2. Let p be q(7). Suppose 2*n - p = 5*z, 3*z = 4*n - z - 312. Calculate the least common multiple of 35 and n.
385
Let p(r) be the first derivative of -32*r + 23/2*r**2 - 1/3*r**3 + 15. Calculate the lowest common multiple of 48 and p(21).
240
Let c = -20923/12877887 + -2/22089. What is the common denominator of c and -58/55?
2915
Let p = 5701/1104 + -125/23. What is the common denominator of (1 + 2/8)*(-3836)/840 and p?
48
Suppose 0 = 3*f + 6 - 27, -4*k - 3*f = -8425. Calculate the lowest common multiple of 1910 and k.
21010
Let v = -2273028356/1923 + 1182022. What is the common denominator of v and -34/9?
5769
Let l = 5 - -97. Let j = 124 - l. Calculate the smallest common multiple of j and 22.
22
Let p = 2877/1328 - -7/332. Let l be (-66)/5 - 14/(-70). What is the common denominator of l*-1*(-5)/20 and p?
16
Suppose 5*h + 24 = 3*i - 4, 0 = 5*i + 4*h - 22. Let s(d) = d**3 - 5*d**2 - 4*d + 8. Calculate the least common multiple of s(i) and 116.
580
Calculate the common denominator of (-282)/(-40) + ((-2)/(-1))/((-116)/174) and -105/88.
440
Suppose 54*j = 44*j - 27890. Let c be 2 + ((-22405)/8 - -2). Let o = c - j. Calculate the common denominator of -8/9 and o.
72
Let g = 115985/2 + -54512907/940. Find the common denominator of g and 87/376.
1880
Suppose 674*a - 347*a + 4278 = 373*a. Calculate the smallest common multiple of 2015 and a.
6045
Let l(c) = -c**2 - 9*c + 26. Let s be l(-11). What is the common denominator of ((-2)/s)/((-430)/989) and -15/166?
1660
Calculate the lowest common multiple of (-3)/(-6)*18*-12*(-60)/54 and 96.
480
What is the lowest common multiple of -98*(1134/(-28))/27 and 833?
2499
What is the common denominator of 34/957 and -1 + (-128)/(-9) + -12?
2871
Let a be ((-5296951)/(-33))/(-2 + 22). Let x = -8023 + a. Find the common denominator of -43/15 and x.
60
Find the common denominator of -71/22 and 12/1496*11/(132/(-236)).
374
Suppose -4*j = -2*q - 34, 0 = 10*j - 9*j + 5*q - 3. What is the smallest common multiple of j and 1064?
1064
Let q = 20/509 - -38024/16797. Let u be (4*(-2)/12)/((-2)/(-33)). Calculate the common denominator of q and (-10)/u*((-28)/(-12) + 0).
33
Suppose 2877 - 225 = 4*p - 5*a, -5*p + a = -3294. Calculate the common denominator of 69/40 and (2/8)/((-1211)/p + 2).
120
Let g = 23552 - 21754. Calculate the lowest common multiple of 6 and g.
5394
Let l = 9940 - 9905. Calculate the lowest common multiple of l and 42.
210
Let l = -22990 - -23040. Calculate the smallest common multiple of l and 45/(-27)*(-54)/1.
450
Suppose -x - 3 = -j, -7*j - x = -10*j + 9. Calculate the smallest common multiple of 951 and j.
951
Find the common denominator of 9/176 and 9 + ((-12901)/(-970))/(-2 + 1).
880
Let o(f) = 73*f - 101. What is the smallest common multiple of o(2) and (10/(-4))/(46/(-5980))?
2925
Suppose -2*b = 8*b - 0*b - 3150. Calculate the least common multiple of 105 and b.
315
What is the common denominator of 121/138 and 6 - (4121/156 - 9)?
276
Suppose -36*d + 33*d - 3*m + 300 = 0, -5*d - 4*m + 504 = 0. What is the least common multiple of d and 377?
3016
Suppose 590 = 3*p + 2. Suppose -2*n + p = -n. Suppose -44 = 147*g - 158*g. Calculate the lowest common multiple of n and g.
196
Let n = -79247/1140 - -1323/19. Calculate the common denominator of 147/108*4/14 and n.
180
What is the smallest common multiple of (605/(-10))/(91/(-30) + -3 + 6) and 1089?
5445
Let u be ((-14)/(-8) + -1)/((-26796)/17724). Let w = -9/58 - u. Find the common denominator of w and 47/33.
132
Calculate the common denominator of -5/1146 and ((-18360)/(-97410))/(5/(-1)).
5730
Let m = 42359/174867 - -1/5299. Calculate the common denominator of m and -39/1474.
4422
Let l be 6/8*(6/10)/(27/540). Let n(j) = -j**2 + j + 1. Let d be n(1). Let i = d + l. Calculate the least common multiple of 14 and i.
70
Let p(v) = 3*v**2 - 161*v + 270. Cal