 169871/21 + -8087. Let k = 7656 + -298628/39. What is the common denominator of q and k?
273
Let d = -10198 + 11129. What is the smallest common multiple of 133 and d?
931
Let g = -581113/48 + 12106. Calculate the common denominator of g and 95/8.
48
Let d be 0/(231/(-63) - 4/(-6)). Calculate the smallest common multiple of 14 and (28*15/(-5))/(-1 + d).
84
Let b be 25*((-8)/10 + 457299/360180). Let o = -6/667 - b. Calculate the common denominator of o and 125/90 + 1/(-2).
36
Suppose 2*l - y = -3*y + 228, -5*l + 4*y + 615 = 0. Let w = l + -79. Calculate the smallest common multiple of w and 12.
120
Find the common denominator of -4*3/12*(3740/(-150))/(-22) and 14/(-10)*3 - -1.
15
Let d = -3/9788 + -151567/479612. Calculate the common denominator of d and -27/28.
196
Let z(t) = 428*t + 435. What is the lowest common multiple of z(-1) and ((-1)/(-3))/((-8)/(-672))?
28
Suppose -3*v - 2*v = -5*z + 30, 7 = 2*z - v. Let p be (32/12)/(z/(6/(-22))). Let n = p - 37/55. Find the common denominator of n and -27/11.
55
Suppose -5*b + q - 97 = 0, 0*b - 5*q + 5 = -b. Let k be ((-1)/b)/((-22)/275836). Let t = k + 621. Find the common denominator of -125/12 and t.
60
Let u = 437 - 48. Suppose 1769 = 23*j + u. Calculate the least common multiple of j and 4.
60
Suppose 0 = 3*d - 3*p + 465, 5*d + 613 + 156 = 2*p. Let t = d - -106. Let j = t - -56. What is the least common multiple of j and 4?
36
Suppose 65*i = -1632 + 14567. What is the least common multiple of i and 4?
796
Let w = -8169 + 8549. Calculate the least common multiple of 437 and w.
8740
Calculate the common denominator of 4/1507 and (-2)/10*(-15665)/132068.
6028
What is the common denominator of (44176/(-28710))/(-8) + (-1)/6 and -23/2871?
28710
Let t = 9 + -2. Let i(a) = 52*a**2 + 160*a + 23. Calculate the lowest common multiple of t and i(-3).
77
Calculate the common denominator of -53/44 and 251/(-3263) + 691/1716.
132
Let g be (-7)/((-112)/248)*30. Let a = 497 - g. What is the smallest common multiple of a and 11?
352
Let x(a) = -19*a + 170. Let q be x(6). Suppose 11*o = q + 65. What is the lowest common multiple of 3 and o?
33
Suppose -3*z + 379 = 2*c - 486, -20 = 5*c. Let j = z - 272. Calculate the smallest common multiple of j and 17.
323
Let s = -390/59 + 9361/354. Let t = 7086/5 + -205478/145. Let a = t + -13223/5510. Calculate the common denominator of a and s.
114
What is the smallest common multiple of ((-24)/(-32)*2)/((-3)/8) - -284 and 70?
280
Suppose -44*u - 89*o + 2415 = -88*o, 5*o = 5*u - 300. Calculate the smallest common multiple of u and 2640.
2640
Let r = 133 - -362. Let g be ((-392)/(-10))/(3/180). Find the common denominator of -137/18 and (-6)/(-33) + g/r.
90
Suppose -2*l = -3*p + 14, 0 = -5*p - 5*l + 21 + 19. Let j(f) = -f**2 - 2*f - 3. Let y be j(-4). Let t = 22 - y. What is the lowest common multiple of p and t?
66
Let y be 224/(-3) + 19/(-57). Find the common denominator of (-240)/y*((-45)/(-51))/3 and -23/8.
136
Suppose -4*o + 46 = -2*j, 0 = -157*o + 153*o + 3*j + 53. What is the lowest common multiple of 766 and o?
3064
Let j(t) = -831*t - 821. Suppose 0 = -0*c + c - 80. What is the lowest common multiple of c and j(-1)?
80
Let h = -119 + 259. Suppose -3*y - 4*g = h, 2*y = 4*y - 3*g + 99. What is the common denominator of 41/(-16) - y/16 and -33/32?
32
Let l be (-9)/(-12) - 3285880/(-192). Let y = -17119 + l. Calculate the common denominator of -29/42 and y.
168
Let a(w) = -318*w - 2511. Suppose -3*u + 12 = 0, 3*m - u - 7 + 2 = 0. What is the lowest common multiple of a(-8) and m?
33
Let a = -5959 + 285973/48. What is the common denominator of -131/96 and a?
96
Let o = 582/217 + -625031/244776. Find the common denominator of -89/66 and o.
12408
Suppose -13*g + 0 = -104. Suppose -4*u + 12 = 4*r, -9*u + 4*u - 6 = 2*r. Calculate the least common multiple of g and r.
56
Let v = -57 + 58. Let w be (-25)/(-5) - v*-2. Suppose -w*p + 42 = -5*p. Calculate the least common multiple of 33 and p.
231
Let p = -54492/23 - -565449/184. Let q = p + -692. Find the common denominator of q and -10/23.
184
Let k(q) be the second derivative of -q**5/5 + 5*q**4/12 + 3*q**3/2 + q**2/2 + 56*q. Calculate the least common multiple of k(-5) and 9.
5229
Suppose -49548 - 24776 = -288*w - 2900. Calculate the least common multiple of 31 and w.
248
Let h = 13 - 4. Let s = 216 - 210. Let p(g) = -g**3 + 6*g**2 + 27. Calculate the lowest common multiple of h and p(s).
27
Let w = 83091/16 + -5191. Calculate the common denominator of (-37875)/43834 + (-2)/31 and w.
112
Let a = -13028464/153 - -85153. Let r = 6884/705 + -1076/141. Find the common denominator of r and a.
765
Let x = -4866977/152 - -32019. Calculate the common denominator of 79/1786 and x.
7144
Let f be ((-236788)/42)/((-4)/(-6)). Let x = -8384 - f. Let q = -78 + x. What is the common denominator of -21/5 and q?
35
Suppose -16*r - 171434 + 5902 = -74*r. Calculate the least common multiple of 30 and r.
42810
Let f(m) = 61*m**2 - 13*m + 44. What is the least common multiple of f(5) and 12?
4512
Let i = -18843 - -23848. What is the least common multiple of 55 and i?
5005
Let r = 3250 + -2270. What is the smallest common multiple of r and 20?
980
Let j = 447 + -265. Calculate the common denominator of -93/10 and 3/j*76/3.
910
Let w = -8964463/213 - -42087. Calculate the common denominator of 139/216 and w.
15336
Let a = 130142 + -85503275/657. What is the common denominator of a and 17/144?
10512
Let y = -288 + 309. Let g be 7 - (5/5 - -2). What is the smallest common multiple of y and g + ((-10)/(-1) - 2)?
84
Let l(b) = -2760*b**3 + 10*b**2 - 21*b + 7. Let i be l(8). Let v = 79105661/56 + i. Let p = v + 275/7. Calculate the common denominator of p and 59/24.
24
Let k be 4/(-14) + 198/7. Let y(n) = -n**3 + 14*n**2 + 90*n - 1318. Calculate the lowest common multiple of y(13) and (18/21)/(1/k).
168
Suppose 0 = -4*h + x + 13, -2*h = 2*h + 3*x - 9. Let d be (h - -12)/(-3) - -196. Suppose d = 11*q + 37. Calculate the least common multiple of 14 and q.
14
Let t be (1 + -2)*(2 - (3 + -1)). Suppose -2*y = 5*q + 235, t = -0*y - 3*y - 4*q - 356. Find the common denominator of (1 - (-121)/y)/((-15)/3140) and -101/16.
720
Let w = 110752895/14 + -7914958. Let i = 1594 + -5637. Let j = w - i. Calculate the common denominator of -41/10 and j.
70
Let a = -79026/7055 - -2/1411. Let q be 40*1*((-1)/4)/(-1). What is the common denominator of (q/5)/((-53)/(-16)) and a?
265
Calculate the smallest common multiple of (24/(-30))/(34/(-5)) - (-1271204)/187 and 33.
6798
Let z(y) = y**2 + 23*y - 6. Let i be z(-24). Suppose 0 = 15*s - i*s + 1560. What is the smallest common multiple of 22 and s?
5720
Let i(x) = -6*x + 4. Let p be i(2). Suppose 2*j + 7*j - 54 = 0. Calculate the lowest common multiple of ((-4)/6)/(p/24) and j.
6
Let c = 1086881/1606437 - 779/1186. Calculate the common denominator of c and 93/430.
27090
Let g be (3 - -1)/(22/(-11 - 0)). What is the smallest common multiple of (-30)/((g/(-4))/(7/(-28))) and 3/(0 - (-1)/9)?
135
Let j(u) = 4*u**2 + 38*u + 8. What is the smallest common multiple of j(-12) and (3/2)/((-3)/72*-9)?
128
Let n(x) = -46*x + 22. Let c be n(-1). Suppose 4*h - 4*k = c, -10*h + 6*h + 77 = -k. Calculate the smallest common multiple of 108 and h.
540
Let t = 223 + -227. Let y(r) = 4*r**2 - r - 32. What is the least common multiple of y(t) and 54?
108
Let n = -18055 - -577711/32. Find the common denominator of 190/(-88) + (-6)/(-4) and n.
352
What is the common denominator of (-8812)/(-56)*(-2)/110 + 11 + -8 and -39/560?
6160
Suppose 0 = -5*z - 3*t + 453, 0 = 3*z - 3*t - 649 + 382. Calculate the smallest common multiple of z and 765.
1530
Let d(f) = -211*f - 1056. Calculate the smallest common multiple of d(-6) and 420.
420
Let h(a) = a**3 + 2*a**2 + 14*a - 60. Calculate the lowest common multiple of h(3) and 126.
378
Let z = -295 - -21. What is the common denominator of 53/28 and (6/12)/((-12)/z)?
84
Let c be (-4)/(-6) + 12/9. Suppose -3*s + 5*p - 1995 = s, c*p - 1498 = 3*s. Calculate the common denominator of 115/18 and 2/((-64)/s) - (0 - -4).
72
Suppose -342 = -2*m - 4*r, -m = -4*m + 5*r + 568. Let c = 308 - m. Suppose 4*l - c = 49. Calculate the least common multiple of 12 and l.
132
Let p(h) = -9*h**2 - 47*h + 17. Calculate the lowes