**2 - 12*r - 32.  Let p be v(-6).  Suppose -p*o - 91 = -511.  What is the smallest common multiple of o and 120? 
840
Suppose 3*q + 0*q + 6 = 0.  Let i be (28 - 30) + (-1 - (-2)/q).  Find the common denominator of -113/14 and 2/i*(-106)/4. 
28
Let d = -14 - -67.  Let n(c) = -9*c**3 - 66*c**2 - 25*c - 18.  Calculate the smallest common multiple of d and n(-7). 
530
Calculate the common denominator of 83/80 and 1300/(-256) + 9 - 3. 
320
Suppose -6*s = 462 - 522.  What is the common denominator of -2 - s/176*-31 and -127/72? 
792
Let c = 651539959/1500 + -434360.  Calculate the common denominator of c and -19/1500. 
1500
Let o = 22270 - 178111/8.  Find the common denominator of (-41)/(-12)*(-6)/16 and o.
32
Suppose -t - 1 = s - 25, -2*t - 62 = -3*s.  What is the smallest common multiple of 204 and s? 
2244
What is the least common multiple of (-44)/(-6)*7*210/196 and ((-20)/14)/(6/(-42))? 
110
Suppose -5*n + k = -2*k - 34, 4*k + 12 = 0.  Calculate the lowest common multiple of 25 and (-40)/(-1 - -4 - n). 
100
Let a = 1381/11 + -126.  Let x = 12891/5915 + -11/169.  Calculate the common denominator of x and a.
385
Let o(i) = -328*i - 155.  Calculate the lowest common multiple of o(-4) and 6. 
6942
Let r = 19142 + -19086.  What is the least common multiple of r and 147? 
1176
Let a(m) = 1 - 39853*m**3 + 39852*m**3 + 2*m + 5*m**2 + 1.  Suppose 0 = 3*x - 4*x + 5.  Calculate the smallest common multiple of a(x) and 27. 
108
Let j = 1/290335 + -15969148/209912205.  Calculate the common denominator of j and 163/30. 
7230
Let o be (-3)/60 - 338923/2340.  Let a = -4327 - -8375/2.  Let b = a - o. Calculate the common denominator of -5/3 and b.
18
Suppose 0 = 2888*l - 2978*l + 85500.  What is the lowest common multiple of l and 152? 
3800
Let i(j) = -62*j**3 - 2*j**2 - 5*j - 3.  Calculate the lowest common multiple of i(-3) and 2/4*(-67 + 71). 
1668
Let p = 823714/97 - 8492.  Let q = 35760/1261 - p. Let l = q + -3084/91.  Calculate the common denominator of l and -151/24. 
168
Suppose 1265 = 19*z - 1585.  What is the least common multiple of 5150 and z? 
15450
Suppose -2*b - 4*c = 24, 3*b + 3*c = -11 - 10.  Calculate the lowest common multiple of b + 3 + 16/2 + -3 and 30. 
30
Let a(k) = -k**2 + 8*k - 5.  Let u(v) = 13*v + 15.  Let h be u(-1).  Suppose h*m = 8, -c + 3*m - m = 7.  What is the smallest common multiple of a(5) and c? 
10
Let u = 2826 - 2812.  Calculate the smallest common multiple of u and 70. 
70
Let h be 6/(-4) + 1222/4.  Suppose 8*o + 277 = -c + 3*o, c - 4*o + h = 0.  Find the common denominator of -23/8 and (c/(-42))/(24/(-14)) + -1. 
72
Suppose 1000 = -439*u + 447*u.  Calculate the lowest common multiple of u and 750. 
750
Let h = 583 + -577.  Calculate the common denominator of -31/16 and (-12 + h)/2 + (-1042)/(-380). 
1520
Let j = 680387 + -6255478151/9194.  What is the common denominator of j and 13/16? 
73552
Suppose 0 = 4*k + 36, 5*k - 8*k = -2*a + 5787.  What is the smallest common multiple of a and 135? 
8640
Let x(v) = -7*v - 51.  Let c(o) = 3*o + 27.  Let p(r) = -5*c(r) - 3*x(r).  Calculate the least common multiple of 7 and p(-2). 
42
Suppose -3*z + 16 = 2*t, 3*z + 4*t + 17 = 37.  Suppose -z*l + l + 150 = 0.  What is the smallest common multiple of l and 50? 
50
What is the smallest common multiple of 14/10 - (-310704)/240 and 324? 
1296
Let f(z) = -z**3 - z**2 + 40.  What is the lowest common multiple of -24*(-20)/(-1040) - (-532)/26 and f(0)? 
40
Let m(u) = -u**3 - 12*u**2 - 8*u + 11.  Let o be m(-11).  What is the common denominator of (-134)/111 - (-16)/24 and 957/o - (0 - 0)? 
74
Let s(y) = y**2 - 77*y - 2396.  What is the smallest common multiple of 544 and s(-28)? 
544
Suppose -6*d + 118 = 72 - 2594.  What is the lowest common multiple of 40 and d? 
440
Find the common denominator of 2/(-14) + ((-5173644)/933450)/(-34) and -29/3810. 
19050
Suppose -10592 + 29222 = -6*z.  Let l be (-54429)/z + (-48)/(-27) + -2.  Let x = l - -3/115.  Calculate the common denominator of x and 11/7. 
21
Suppose t - 2*y = 4*t - 1186, 1978 = 5*t + 2*y.  What is the common denominator of 4/(-22) + 7497/t and (200/(-12))/(((-20)/(-45))/1)? 
4
Let l(n) = n. Let m be l(1).  Let v = m + 9.  Suppose 0 = 3*y + p - 5, 0 = -18*p + 20*p + 2.  What is the smallest common multiple of y and v? 
10
Suppose 0 = 3*g - 68 - 34.  Calculate the lowest common multiple of g and (-135)/(-7020)*(-16)/2 - (-158)/13. 
204
Let t(d) = -d - 19.  Let m be t(-21).  Find the common denominator of 52/55 and (m/15)/(-5 + (-1746)/(-354)). 
330
Let q(p) be the third derivative of 17*p**4/12 - 14*p**3/3 + 23*p**2.  Suppose -2*f + 20 + 4 = 0.  What is the least common multiple of q(3) and f? 
444
Let y = -141848 - -11205672/79.  Let l be ((-2)/120)/((-158)/74345).  Let s = y + l. Find the common denominator of 29/3 and s.
24
Let o = 20 - 34.  Let n be ((-10)/(-2))/((-77)/o - 3).  Find the common denominator of -71/4 and -3 - (201/(-36))/(n/6). 
4
Let w = 4159/4 - 1022.  Calculate the common denominator of w and ((-36)/(-5))/3 - (-282)/(-329). 
140
Let a be 16/(-6)*(-39)/26.  Suppose 0 = -a*g + 3*p + 141, -4*g - 2*p = 2*p - 148.  Calculate the lowest common multiple of 72 and g.
72
Let a = 1757843/42 + -41857.  Find the common denominator of 37/288 and a.
2016
Let s = 273 + -321.  Let q = s + 54.  What is the lowest common multiple of 8 and q? 
24
Let x(w) = -w**2 + 24*w + 400.  Let y be x(-17).  Let d = 5 - 8.  What is the common denominator of -1 - (y/4)/(d/2) and 47/7? 
14
Suppose 25 = s - 70.  Suppose -4*a + 199 = 5*d, 5*a + s + 95 = 5*d.  What is the lowest common multiple of 9 and d? 
117
Let q = 15 + 86.  Calculate the smallest common multiple of (-22)/4*72/(-99) - (-6 - 1) and q.
1111
Let x = 464 + 48.  Suppose 506*v + 576 = x*v.  What is the least common multiple of v and 108? 
864
Let t = -411 - -408.  Find the common denominator of 103/44 and 171/3180*t + (-84)/(-140). 
2332
Calculate the lowest common multiple of (496/(-5))/(334/(-835)) and 961. 
7688
Let x be -5 - (6/(-8) - (-63)/(-28)).  Find the common denominator of (54/2376)/(-1 + (-426)/(-428)) and x/180*-519 + 1 + -2. 
330
Let q = 469619 + -13254057035/28223.  Let o = -1215151/22042163 + q. Find the common denominator of o and -44/9. 
7029
Let r = -5489/174 - -330/29.  Let g be 3/54*3 - 22/(-12).  Calculate the common denominator of r and (-1)/g + 250/45. 
18
Let c = -117607/18 - -6530.  Find the common denominator of c and -109/336. 
1008
What is the common denominator of 139/2184 and (-541)/273 + (-10)/(-8)*696/435? 
2184
Suppose 447 + 693 = 10*b.  Find the common denominator of 95/6 and 12/b - (-98)/874. 
138
Let g = -154 - -178.  Find the common denominator of -2/45 and ((-10)/12)/((-30)/g). 
45
Suppose 5*m - 2*m = -4*s - 41, -2*m + 5*s - 12 = 0.  Calculate the common denominator of -23/83 and (10 - 7) + (-18)/m. 
913
Let y = 4646 - 2350.  Calculate the smallest common multiple of 492 and y.
6888
Let y be 740/4 - (-2)/(-35)*-5.  Let b = -375/2 + y. Find the common denominator of b and -89/6. 
42
Let z = -35351/3967322 + -1/6002.  Let t = -41655/1322 - z. Find the common denominator of 71/20 and t.
20
What is the least common multiple of (-31)/((-682)/(-165))*4/(-5) and 602? 
1806
Let x = -35000455/29968 + -37/3746.  Let o = x - -1167.  Calculate the common denominator of o and 25/12. 
48
Let r = -86/235 + 969/3290.  Find the common denominator of 99/1436 and r.
10052
Let z = 44649/5176 - 3/2588.  Calculate the common denominator of z and 94/(-420) - ((-6)/18)/(-1). 
280
Let w be 7/(-1) + (-79 - -74).  Let c = -9/50 - 39/200.  What is the common denominator of c and 1382/(-3344) + (-2527)/(-209) + w? 
152
Let d = -331255/8 - -41406.  Find the common denominator of -113/35830 and d.
143320
Find the common denominator of (-5681)/(-7176)*-14*(-4)/(-2) and 4/34*(-7)/(-4). 
102
Suppose 3*d = -2*y + 137, -25*y = -2*d - 24*y + 89.  Calculate the lowest common multiple of d and 15. 
45
Let q(x) = 3*x**2 - 11*x - 3.  Let p be q(4).  What is the smallest common multiple of ((-6)/(-4))/((-48)/(-64)) + p and 9? 
9
Let v = 198209/16201326 - 15/10267.  Find the common denominator of -103/14 and v.
11046
Let g = -168434/31 + 5434.  Let b = -21/1576 + 84505/14184.  Calculate the common denominator of b and g.
558
Calculate the least common multiple of 44 and 6/(-4)*2 - -105*190/114. 
1892
Suppose 0 = -4*v + 8, -37*l + 36*l = -3*v - 22.  Calculate the least common multiple of 1380 and l.
