r of -67/81 and (-2 + 51/(-7))/((-192)/224). 
162
Let h = 3/8 + -17/40.  Find the common denominator of h and 109/44. 
220
Let j = 2226 + -8999/4.  Let u = 1466/7439 - 18/173.  Find the common denominator of u and j.
172
Let q = 57 - 49.  What is the common denominator of ((-342)/(-45) - q)/(4/41) and -89/2? 
10
Let g = 42731/5124 + 13/732.  Calculate the common denominator of g and 1/(-1) - 81/(-16). 
112
Let f = 10688 + -812331/76.  Find the common denominator of -17/16 and f.
304
Find the common denominator of (-465)/372 - (-15)/(-44) and 41/58. 
638
What is the smallest common multiple of 27 and (70/4)/(88/704)? 
3780
Let h = -487262159/1256370 - 1/209395.  Let j = 384 + h. What is the common denominator of j and -41/9? 
18
Let k = 691/14 + -27/7.  Suppose m = -77 - 343.  Let d = 1295/3 + m. Calculate the common denominator of k and d.
6
Let s = 5/1929 - -74921/119598.  Find the common denominator of s and 25/16. 
496
Let p be (-3 + 0)/(3/(-12)).  Suppose -2*u - 25 = -7*u - 3*f, -u - 4*f = p. Calculate the smallest common multiple of u and 6. 
24
Suppose 0 = 2*j + 7 + 1.  Calculate the common denominator of 50 and (-2)/j*(-598)/(-39). 
3
Let c = 34 - 20.  Let x = -20 + c. Calculate the common denominator of (x/8)/((-12)/68) and -83/4. 
4
Let b = -404 - -431.  What is the lowest common multiple of 11 and b? 
297
Let m(j) = j**3 + 6*j**2 - 2*j - 10.  Let t be m(-5).  Calculate the common denominator of -15/4 and (4/(-3))/(t/105). 
20
Suppose 0 = -34*j + 31*j.  Suppose j = -15*o + 9*o + 264.  Calculate the smallest common multiple of 8 and o.
88
Let f(j) = -j**3 + 7*j**2 - 8*j - 4.  Let p = 52 - 47.  Calculate the least common multiple of f(p) and 2. 
6
Let s be (-6)/(-8) + ((-4719960)/(-64))/(-9).  Let l = -8206 - s. Calculate the common denominator of l and (-167)/(-70) + 4/10. 
56
Let j be 3 + (-5)/10*-66.  What is the common denominator of 17/75 and ((-9)/j)/((-3)/(51*1))? 
300
Let o be (100/(-15) + -2)*-3.  Let h = 32 - o. Calculate the lowest common multiple of h and 14. 
42
Let s be (9*(-3)/(-18))/((-4)/(-8)).  Let z = 39 + s. Suppose 0 = -4*a + 4*f - 2*f + 50, -3*f + 37 = 2*a.  Calculate the lowest common multiple of z and a.
42
Suppose 121 = 7*x - 4989.  Let n = -8057/11 + x. What is the common denominator of -91/2 and n? 
22
Suppose -2*o - 5*j - 60 - 148 = 0, 0 = o + 2*j + 102.  Let v = -91 - o. What is the smallest common multiple of 16 and v? 
48
Let m = 160 - 151.  Calculate the smallest common multiple of m and 9. 
9
Suppose -26 = -6*g - 2.  What is the smallest common multiple of (-6 + g - -24) + 2 and 21? 
168
Let a = -987142/45 + 21935.  What is the common denominator of a and (166/(-24))/(10/(-4))? 
90
Suppose j - k - 724 = -3*j, -4*k = 4*j - 744.  Calculate the common denominator of 0 + 1 - j/49 and (-15)/10 - 90/(-4). 
7
Calculate the common denominator of 13/30 and (-8)/(-20) + -1 - 9736/(-12960). 
1620
Let a = 4023 + -48215/12.  Let d be ((-2)/20)/(1 + 132087/(-132045)).  Let g = -1281/4 + d. What is the common denominator of a and g? 
84
Suppose 0 = -5*k + 135.  Suppose 12*w = 9*w + k. What is the least common multiple of 8 and 0 + w*(-8)/(-12)? 
24
Suppose 0 = -4*p - 4*h + 32, -4*h + 11 = 2*p - 13.  Suppose -p*q - 16 = -124.  Calculate the common denominator of q*(-2 + 13/7) and -89/4. 
28
Let b = -4 - -7.  Suppose 4*y + 8 = 0, -18*y + 766 = 5*q - 16*y.  What is the smallest common multiple of q and b? 
462
Let m = 41/3 - 7/6.  What is the common denominator of (-558)/(-10)*(-6)/(-108)*-3 and m? 
10
Let t(y) = -17*y.  Let b be ((-1)/2)/(1/(-2)).  Calculate the common denominator of t(b) and 3/60*189 - (-7)/28. 
10
Calculate the common denominator of (5/((-15)/159))/(-4 - -11) and -1*((-146)/(-74) + -2). 
259
Suppose 3*u - 42 = -3*l, 2*u - 60 = -3*u - 3*l.  What is the smallest common multiple of (6*u/21)/((-18)/(-84)) and 21? 
84
Let q = -122/1273 + 112757/313158.  What is the common denominator of q and 47/30? 
1230
Suppose 2 = 5*k - k - 2*b, 5*b + 5 = -2*k.  Suppose g + 14 = 5*y, 4*y + 8 = -k*y - 4*g.  What is the lowest common multiple of 10 and y? 
10
Let i be ((-4)/14)/(1/(-7)).  Let x(q) = -q + 25*q**i + 9*q - 24*q**2.  What is the smallest common multiple of 28 and x(-10)? 
140
What is the common denominator of 48 and (4785/(-18))/11 + 3/9? 
6
Let l = 32 + -31.  What is the lowest common multiple of l and 445? 
445
Suppose 43 - 11 = 4*a.  Let d(g) = -g**3 + 7*g**2 + 10*g - 5.  Calculate the lowest common multiple of d(a) and 3. 
33
Suppose -3*o = t - 52, -4*t - 4 = 3*o - 50.  Calculate the least common multiple of o and 14. 
126
Let r be (-6)/((-4)/(48/(-9))).  Let i be ((-4)/r)/(1/120).  Calculate the common denominator of ((-29)/3)/(i/18) and 109/22. 
110
Let h(o) = o**2 + 5*o + 18.  Let g be h(-6).  What is the common denominator of -67/21 and g/(-81) + (-8)/(-4)? 
189
Let i = -1 - -2.  Find the common denominator of -39*(i - (-5)/(-12)) and 648/(-40)*(-20)/(-66). 
44
Let j be (1735/(-60))/((-15)/102).  Let y = j - 196.  Find the common denominator of y and (-2)/3*(-123)/(-8). 
60
Let k = -4403/2 + 2247.  What is the common denominator of k and 0*(-1)/2 + (-511)/(-42)? 
6
What is the common denominator of ((-273)/(-36) - -5)/(-8 + 7) and 79/30? 
60
Let m = -419/9592 + -1/88.  Let d = -915/1199 + m. Let g = -33545/9 + 3721.  Calculate the common denominator of g and d.
99
Let m = 31307/7 + -4465.  Let q be 2 + 1*(-20248)/140.  Let h = q - -671/5.  Find the common denominator of h and m.
7
Calculate the lowest common multiple of (-8)/(-14)*16 + 60/70 and 33. 
330
Let r(u) = 8*u**2 + 9.  Let y be r(14).  Let b = 4376 + y. Let d = b + -107053/18.  Calculate the common denominator of 59/16 and d.
144
Let k(x) = x**2 - 23*x - 138.  Calculate the lowest common multiple of 68 and k(-5). 
68
Let o(a) = 3*a + 17.  Let b be o(-7).  Let l = 8 - 19.  Find the common denominator of b + ((-2025)/40)/9 and l.
8
Let m = -11 + 8.  Let w = m - -6.  Suppose 0 = w*u - 5*l - 57, 5*u - 2*l + 12 - 88 = 0.  What is the least common multiple of u and 18? 
126
What is the smallest common multiple of (-1)/(-5) + 1343/85 and 382? 
3056
Let u = 151489867459/684 + -221476360.  Let j = 1046/19 - u. Calculate the common denominator of j and 127/12. 
36
Let p = 88 - 158.  Find the common denominator of 23/7 and (p/4)/7 - 2. 
14
Suppose -3*i + 3*q + 777 = 0, -5*i - 154 + 1404 = 4*q.  What is the least common multiple of 16 and i? 
2032
Suppose -8*l = -2*l - 72.  Calculate the lowest common multiple of l and 10. 
60
Let j = 831013/517341 + -4/15677.  What is the common denominator of 37/18 and j? 
198
Let t = 6781/6 - 1133.  Let u be (17440/(-56))/((-18)/(-14)).  Let i = 250 + u. Find the common denominator of t and i.
18
Suppose 2*s - 4*s = -106.  Let j = -43 + s. Calculate the smallest common multiple of j and 9. 
90
Suppose -7*f + 77*f = 3920.  What is the smallest common multiple of 231 and f? 
1848
Calculate the common denominator of 97/180 and (-22)/165 - (95/(-48) - -2). 
720
Find the common denominator of 1268/198 - (-18)/(-99) and ((-10)/5)/(280/76). 
315
Suppose -47*x = -19*x - 252.  What is the least common multiple of 63 and x? 
63
Let a = 6547/9 - 262897/360.  Calculate the common denominator of a and -69/220. 
440
Let v be -30*(1040/15)/(-2).  Let j = v + -14505/14.  Find the common denominator of j and (6/4)/((-36)/(-22)). 
84
Suppose -32*o + 70 = -22*o.  Calculate the smallest common multiple of 14 and o.
14
Let m be ((-2)/4)/(5 + (-27)/6).  What is the common denominator of -69/34 and m/((-3)/2)*(-1272)/(-256)? 
272
Suppose 0 = 3*p - 6*p + 141.  Let i = -42 + p. What is the smallest common multiple of 6 and i? 
30
Let v(u) = -u**2 + 16*u + 14.  Let b be v(17).  Calculate the common denominator of (21/90)/((-4)/10) and (b + (-565)/(-20))/1. 
12
Let b = 2335/114 - 44/19.  Calculate the common denominator of b and 83/18. 
18
Suppose -4*s + 236 = -s - 4*x, -2*s + 159 = -3*x.  Calculate the lowest common multiple of 66 and s.
792
Let o = -27359 - -602003/22.  What is the common denominator of o and 1 - 254/(-56)*-2? 
154
Let l(j) = -j**3 + 5*j**2 - 4*j + 2.  Let v be l(4).  Suppose -27 = -v*o + 2*m - m, 0 = -2*m - 6.  Calculate the lowest common multiple of 6 and o.
12
Let p(h) = 12*h - 70.  Suppose 13 = 2*d - x, -4*d - 7 = 5*x - 26.  What is the smallest common multiple of p(6) and d? 
6
Suppose 13*a = 10*a + 3.  Let y be 105/28 - a/(-4).  Find the common denominator of (-408)/(-36) + 1/y and