))/(5/3 - r). Let x = 15 - m. Find the common denominator of x and 99/16.
16
Calculate the common denominator of -121/30 and (-3524)/(-426) + (-8 - 0).
2130
Suppose 0 = -6*v + 4*v + 6. Let t = -213 - -137. Let f = t + 85. Calculate the smallest common multiple of v and f.
9
Let m = -82 + 88. What is the least common multiple of 2 + (0 - (m + -5)) and 8?
8
Let h be (1/2)/((-10)/(-780)). Calculate the least common multiple of (-236)/(-30) + (-6)/(-45) and (-260)/h*(-36)/10.
24
Let g(p) = -p**3 - 8*p**2 + p + 7. Let j be g(-8). Let t be (-2)/((-50)/(-46) + j). Let l = t + 32. What is the least common multiple of 1 and l?
9
Suppose -17*o = -28*o - 198. Calculate the common denominator of 4186/(-13860) - (-4)/o and -89/18.
990
Let n(q) = q**2 - 148*q + 683. What is the smallest common multiple of 19 and n(144)?
2033
Suppose -2*g = -149 + 61. Calculate the least common multiple of g and 604.
6644
Let u = -64481008664458765/777417350898 - -10/3501879959. Let q = 82943 + u. Calculate the common denominator of q and 109/18.
666
Calculate the common denominator of (-6)/22 - (-30 + (-10442900)/(-351120)) and 101/114.
1596
Let n = -791887 - -2149973237/2715. Calculate the common denominator of n and -115/24.
21720
Let u = -302 - -1106. Calculate the common denominator of 47/5 and 2 - ((-1878)/u)/(-1).
670
Let l(r) = -7*r - 28. Let u be l(-2). What is the common denominator of (-37254)/(-32340) - (-2)/u and 19/18?
990
Let g be (-4)/7 + 20/35. Suppose g = m + 9*m - 220. Calculate the lowest common multiple of m and 6.
66
Let x = -103789/460734 - 1/4517. Calculate the common denominator of x and 31/1360.
4080
Let f(a) = -a**2 + 35*a + 470. Calculate the least common multiple of f(45) and 572.
2860
Calculate the common denominator of -58/7 and 25897/18126 + (12/14)/(36/(-56)).
6678
Let c be 0*((-28)/(-8) - 4)*-1. Suppose -3*x - 30 = -4*y + 107, c = 2*x + 6. Find the common denominator of -87/4 and 8/y - 1 - 41/(-32).
32
Let r = -67243/18 + 74/9. Let d = 201157/54 + r. Find the common denominator of d and -47/7.
189
Let i = 27019/484 - 2493/44. Let r = 1771 + -214289/121. Let q = r + i. What is the common denominator of 32/9 and q?
99
Calculate the smallest common multiple of 4160 and -80*(292/20 - 25).
4160
Find the common denominator of -101/456 and (-1)/(-2) + 5838/(-14112).
6384
Let g = -2/29345 + 3726863/704280. Find the common denominator of g and (-84)/(-364) - 3194/6*-1*1/(-260).
120
Let b(a) = 7*a - 2. Let o be b(1). Suppose -q = o - 6. Suppose 28*g = 25*g + 15. Calculate the smallest common multiple of q and g.
5
Let q = 23141 + -4535633/196. Calculate the common denominator of q and 139/2030.
28420
Let z be (-3)/9*(-3 - 6). Suppose 5 = z*i - 1. Find the common denominator of i - ((-2)/(-11) - (-126)/5236) and 53/8.
136
Suppose 0 = -c, -2*c = 304*m - 299*m - 9960. What is the least common multiple of m and 2739?
21912
Calculate the common denominator of 47/1422 and 97*(14 + 5873/(-420)).
14220
Let b = 28296888079/9204 + -3074412. What is the common denominator of 59/20 and b?
46020
Suppose -4*h + 1 + 31 = 0. Calculate the common denominator of (24/44)/(h/(-12)) and ((-14)/(-24))/((-282)/5499).
88
Calculate the smallest common multiple of 852 and 396*(8/(-3) + (29 - 12) + -14).
9372
Let y be (0 + 18/(-4))*(-40)/12. Suppose -y*l = -36*l + 210. Calculate the common denominator of -63/8 and l.
8
Let n = 173 - 109. Let d be (3 - -9)/((-2)/(n/(-6))). Let c = d + -52. Calculate the least common multiple of 9 and c.
36
Suppose 0 = n - 196 + 851. Calculate the common denominator of 137/70 and 1 + 4/(-6) + n/90.
630
Suppose -74 = -m + 5*c + 41, -3*c - 798 = -6*m. Calculate the lowest common multiple of 144 and m.
2160
Let o(x) = 47*x - 23. Let c be o(-5). Let k be c/43*(-4)/6*2. What is the lowest common multiple of (4 + 0)/4*4 + k and 12?
12
Let h(f) = -f + 9. Let x be h(6). Suppose 8*s - 495 = x*s + 3*o, -o - 101 = -s. What is the common denominator of ((-125)/(-10))/(s/20) and -61/2?
48
Let s = 656 + -646. Calculate the lowest common multiple of s and 152.
760
Let z(g) = g + 13. Let u be z(1). Suppose 3*m + a - 4 = u, 0 = -5*m - 2*a + 29. Calculate the smallest common multiple of m and 138.
966
Suppose -6*u + 6 = -3*u. Suppose 3*t = -t - 5*o + 105, 4*t - u*o = 126. What is the least common multiple of (t/(-4))/((-18)/24) and 12?
60
Let x = -71343/1534 + 51028585/303732. Let u = x - 1096/9. Let g = 685/132 + u. What is the common denominator of g and -87/10?
110
Let n = -110819/7410 - -581/39. What is the common denominator of n and 99/32?
3040
Let i = 172 + 55. Let h = i + -207. What is the lowest common multiple of h and 342?
3420
Suppose -10 = 5*i - l, 3*i + 2 = -l - 12. Let p = -14790 + 236733/16. What is the common denominator of p and 125/20 + i/6?
16
Let d = -16 - -16. Suppose 53 = t - 3*v - v, -3*t + v + 203 = d. Let b = 409/6 - t. Calculate the common denominator of 46/15 and b.
30
Suppose -5*z - 3*n = -22371, 2*z + 25*n - 30*n = 8905. Calculate the smallest common multiple of z and 4470.
4470
Let x be ((-2)/(-5))/(10/1100). Let j = -44 + x. Let d = j - -20. What is the common denominator of d and 11/10?
10
Suppose -65 = 2*b + 15. Let j be (b/(-12))/(4/(-24)). What is the common denominator of 0 - (3 + 345/j) and -19/6?
12
Suppose -4*g = -6*g + 412. Suppose -g*t = -200*t - 732. Calculate the smallest common multiple of 14 and t.
854
Let o = -470 + 184. Calculate the common denominator of -19/20 and (117/o)/(2/(-5)).
220
Let n = -12/7332101 - -1966491484743/146642020. Let z = -13414 + n. Find the common denominator of z and 9/20.
20
Let x = 6115 - 6085. What is the lowest common multiple of 54 and x?
270
Suppose -d + 4 = 0, h + 12*d = 109 + 301. What is the lowest common multiple of h and 71?
25702
Suppose i - 7 = -2. Let w(v) = -3*v + 17. Let s be w(i). Calculate the smallest common multiple of 9 and (-5)/((-7)/(-6) - s).
18
Let b = 3/236566 - 11474153/55356444. What is the common denominator of -81/130 and b?
2340
Let t(x) = -2*x + 3. Let g be -2 - 27/(-12) - (-92)/16. Let p be t(g). What is the common denominator of 18/5 and 12/(-210)*(p/(-3) + -58)?
35
Let m = -138/5 - -141/5. Calculate the common denominator of (-12)/(-780)*(-670)/12 and m.
390
Let s = 342 - 236. What is the smallest common multiple of s and (-14)/(-3) - 2*12/(-72)?
530
Suppose -4*h + 4*n + 34 = -h, h = -n + 23. What is the lowest common multiple of (-8)/7 - 162228/(-462) and h?
3150
Suppose -r = 4*i + 369, 5*i + 29*r = 27*r - 465. Let d = 95 + i. What is the least common multiple of d and 2?
4
Let u be (-1 - -1 - (-97878271)/(-10)) + -2. Let p = -9779164 - u. Let j = -8672 + p. Calculate the common denominator of 107/20 and j.
20
Let k = -337535342/819 + 412131. What is the common denominator of k and -49/9?
819
Let p be -13 + 10 + -1 + 979822/126. Let c = p + -7772. Find the common denominator of 3/4*(-118)/(-12) and c.
504
Suppose -5*k - 39 = -3*j - 0*k, -k = 3. Suppose 2*v + 2*a = j - 2, 0 = 5*a - 5. Suppose -v*w - 4*w = -36. What is the smallest common multiple of 1 and w?
6
Let p(r) = r**2 + 74*r - 385. What is the least common multiple of 24 and p(-79)?
120
Let d(a) = 23*a**3 + 4*a**2 - 2*a + 1. Let m be d(4). Let v = m + 1140. Let o = -53313/20 + v. Calculate the common denominator of o and -69/28.
140
Let w = -48 + 55. Let l(y) = y**2 + 5*y + w*y - 14*y + 7. Calculate the lowest common multiple of 30 and l(3).
30
Suppose 5*j - 2297 = 2*f, -3*j + 1380 = 787*f - 790*f. Calculate the smallest common multiple of j and 255.
2295
What is the common denominator of (18 - 14) + 925/(-252) - (-32)/(-112) and 32/11?
2772
Let h(b) be the third derivative of -b**5/60 - 17*b**4/24 - b**3/3 - 10*b**2. Let s be h(-11). What is the common denominator of (4/(s/74))/(-1) and -179/60?
120
Let l = -94469/9800 + 477/49. Find the common denominator of l and -33/64.
1600
Let a be (-1307)/2*(-11 - -3). Let m = a + -62785/12. Let n = 2/2033 + 156509/32528. Calculate the common denominator of n and m.
48
Let n(o) = -2*o**3 + 32*o**2 + 6*o + 21. Let w be n(17). Find the common denominator of -25/48 and (23/(-575))/(6/w).
240
Let g = 1588907327/1364 + -1164888. What is the common denominator of -95/868 and g?
9548
Let y(g) = -2*g - 25. Suppose 0 = 3*u - 3*c + 21, u - 27 = 4*u - c. Let i be y(u