*3 - 3*c**2 + 3*c.  Let j be s(2).  Suppose -3*u + 75 = -3*h, -5*u + 15 = -j.  What is the common denominator of (830/h)/(-2*3) and -75/2? 
12
Suppose 1 = 4*g - 7.  Let w = 18 + -12.  Calculate the lowest common multiple of w and g.
6
What is the least common multiple of 84 and (-16 + 24)/(8/18)? 
252
Let a = 8/623 - 23147/7476.  Find the common denominator of a and 10/(37/3 + -3). 
84
Suppose -2*o - 4*a + 46 = -5*a, o + a - 23 = 0.  What is the lowest common multiple of 41 and o? 
943
Let z = 228041/335070 + 7/3942.  Find the common denominator of -47/9 and z.
765
Let h(c) = -2345*c**3 + 1.  Let y be h(2).  Let s = 225239/12 + y. Calculate the common denominator of 9/14 and s.
84
Let p = -945 + 1501.  Suppose 4076 = 5*m + p. Let i = m + -1437/2.  What is the common denominator of -11/10 and i? 
10
Let h be (-3)/(-4) - (-391)/(-628).  Let x = h + 14475/3454.  Find the common denominator of (-21)/(1*(2 + 8)) and x.
110
Let t = -38/2501 + -1189374/72529.  Let z = 6587/290 + t. Calculate the common denominator of z and -49/6. 
30
Let n be 1 - 0 - (-2 - (-8 - -5)).  Calculate the lowest common multiple of n/((-8)/2) - (-4 + 2) and (40/6)/((-1)/(-3)). 
20
Let d(u) = 7*u - 1.  Suppose c - 3*c + 2 = 0.  Let y be d(c).  Calculate the least common multiple of (-1)/(-1) + y + -1 and 16. 
48
Let p(i) = i + 66.  What is the smallest common multiple of p(12) and 2? 
78
Suppose -371 + 273 = -7*d.  Calculate the lowest common multiple of d and 126. 
126
Find the common denominator of (1110/80)/((-9)/4) and -45/29. 
174
Let y(d) = -d**3 - 6*d**2 + 7.  What is the smallest common multiple of y(-6) and 10? 
70
Let y = -9268 + 13541.  Let t be 385196/90 - 4/10.  Let n = y - t. Calculate the common denominator of -63/10 and n.
90
Let g = 14 - 6.  Suppose 4*h - g*h = 4.  Calculate the common denominator of 8/(-88)*(h - 16) and 46/9. 
99
Suppose 0 = -2*h - 3*j - 188, 0*j - 360 = 4*h + 2*j.  What is the common denominator of ((-6)/h)/(3/2) and 3/14? 
154
What is the least common multiple of 56 and 3*-1 - (-122 + -37)? 
2184
Let n = -34 - -36.  Let h(u) = 2*u - 3.  Calculate the least common multiple of h(n) and 2. 
2
Let t = 1055 - 910.  Calculate the smallest common multiple of 8 and t.
1160
Suppose -2*w - 1 + 15 = 0.  Suppose -5*m - 5 = 5*j, 2*m - 12 = -0*j + 5*j.  Calculate the smallest common multiple of m and w.
7
Find the common denominator of 101/14 and 9/54 - (8/(-42) + 2). 
14
Let j = -38095/6 + 6364.  Suppose -5*x - 2365 - 7510 = 0.  Let f = x + 5981/3.  Calculate the common denominator of j and f.
6
Suppose 0 = 11*x + 40*x - 1122.  Calculate the least common multiple of 126 and x.
1386
Let k = 641/4 - 1353/8.  Calculate the common denominator of 73/2 and k.
8
Let z = -247 + 248.  Calculate the least common multiple of z and 10. 
10
Suppose 49*u - 30 = 44*u.  What is the least common multiple of 71 and u? 
426
Find the common denominator of ((-39)/(-117))/(158/69 + -2) and 25/36. 
180
Let z = -2/218211 + 10837861/5237064.  Calculate the common denominator of z and 27/44. 
792
What is the common denominator of -43/162 and -8 - ((-49357)/990)/7? 
810
Let b = 3549 + -49603/14.  Calculate the common denominator of 19/6 and b.
42
Let f = -281 + 1438/5.  Calculate the common denominator of 123/40 and f.
40
Find the common denominator of -49/104 and (159/(-195))/((-3)/15). 
104
Find the common denominator of (-198)/63*(4 + 0 + -3) and (-186)/20*2/6. 
70
Suppose 0 = -3*m + m + 2*v - 30, 5*v = 3*m + 51.  Let d = m + 4.  Find the common denominator of 33/14 and (d/20)/((-4)/(-89)). 
70
Suppose -10129*y = -10138*y + 1746.  Calculate the lowest common multiple of y and 42. 
4074
Let v(a) = -a**3 + a**2 + 2*a.  Calculate the least common multiple of v(-2) and 34/4*(-2 + 6). 
136
Let d be (3 - (-43474)/(-8844))*8.  Let y = d - 6/737.  Find the common denominator of 34/21 and y.
21
Let l = -7 + 10.  Calculate the common denominator of -99/14 and ((-1)/l*97)/4. 
84
Let n(p) = 2*p**2 + p - 2.  Suppose -4*t = 4*v - 968, 5*v - 1081 = 5*t + 109.  Suppose -17*g + v = -5*g.  Calculate the least common multiple of n(-2) and g.
20
Let z = 61 + -66.  Calculate the common denominator of -109/44 and (-2946)/(-480) - (-1)/z. 
176
Let t be (-238)/(-5) - (-10)/25.  Suppose -4*k + 2*r - 6 + t = 0, 3*k + 2*r = 42.  Calculate the least common multiple of 5 and k.
60
Let w = 191 + -128.  Calculate the lowest common multiple of w and 63. 
63
What is the common denominator of (-10)/35 + (4 - (-230)/315) and 59/8? 
72
Let w(d) = -d**3 + d**2 + d - 192.  Let g be w(0).  Calculate the smallest common multiple of g/(-14) - 4/(-14) and 10. 
70
Let a = 21464/3 - 6835.  Let s = 323 - a. Find the common denominator of -20 + (-952)/(-49) - 3/140*-302 and s.
30
Let b be 15/6*(-4)/(-5).  Suppose b*s = -10, 4*n - 110 = -2*s - 0*s.  Suppose 6 = v + 2*o, 2*v = -3*v - 4*o + n. What is the lowest common multiple of 20 and v? 
60
Let t = 1/8370 - -73933/16740.  Let a = -1366/483 - -44/69.  Calculate the common denominator of a and t.
84
Let x(k) = k**2 + 5*k - 18.  Let j = -27 - -19.  What is the lowest common multiple of x(j) and 8? 
24
Suppose 0 = -c + 1 - 6, 4*l - 1817 = 5*c.  Calculate the least common multiple of l and 128. 
896
Let g = -354697/342 - -9338/9.  Calculate the common denominator of -109/54 and g.
1026
Let f(k) = k**2 - 19*k + 44.  Calculate the least common multiple of f(20) and 88. 
704
Let c(p) = -p**2 - 61*p - 261.  What is the smallest common multiple of c(-54) and 169? 
1521
Let g = 5347/35 - 153.  What is the common denominator of -149/42 and g? 
210
Suppose -2*p - 10 = -7*p.  Calculate the common denominator of 91/16 and -1 - 1*p - (-1771)/46. 
16
Let u = -10 - -33.  Suppose 5*t = 5*s - 10, -4*t - u = -5*s - 9.  Suppose -5*d + 26 = s, -3*p - 3*d + 69 = 0.  What is the smallest common multiple of 11 and p? 
209
Calculate the common denominator of -17/410 and 120/48*(2 + 3). 
410
Suppose 5*z + 5*n = -2 + 52, 3*z = n + 14.  Let g = -48 - -863/20.  Calculate the common denominator of z/(-4)*(-242)/36 and g.
60
Let j = 62/41 + -7234/3157.  What is the common denominator of -37/44 and j? 
308
Let o = -15221/166920 + -2/4173.  Calculate the common denominator of 109/48 and o.
240
Let h(p) = -17 + 7 - 2*p + 3*p + 6*p.  Calculate the least common multiple of h(3) and 2. 
22
What is the smallest common multiple of 22 and -36*((-23)/(-6) - 4)*2? 
132
Suppose h - 6*h - 4585 = 0.  Let z = h - -3631/4.  What is the common denominator of z and 102/(-8)*6/9? 
4
Suppose -3*w - 28 = -2*i, 0*w = -w - 4.  Suppose -i + 29 = 4*a + o, 0 = -4*o - 12.  Calculate the least common multiple of (-18)/5*((-4)/12 - 3) and a.
12
Suppose -l + 3*r - 5 = 0, -2*l - 9*r - 2 = -11*r.  Suppose -n - z = -3 + 12, -z - 17 = 2*n.  What is the least common multiple of l and (36/n)/((-6)/8)? 
6
Find the common denominator of -31/12 and (-1)/(0 - -4)*(-321)/78. 
312
Suppose n + 12 = -3*n.  Let y = 16 + -19.  What is the lowest common multiple of (6 + n)/y*-22 and 6? 
66
Suppose -u = k - 15, -3*u - 23 = -2*k + 2*u.  Let d(b) = -12*b - 20.  What is the least common multiple of d(-3) and k? 
112
Let j = -23315/8 - -2922.  What is the common denominator of j and (77/(-10))/(48/30 + -2)? 
8
Let t = 265/24479 - -3/269.  Find the common denominator of t and 14/39. 
273
Let m be -8 - 1/4*0.  Find the common denominator of -49/18 and (-117)/m*(-1)/(-6). 
144
Suppose -106*y = -87*y - 627.  What is the smallest common multiple of 3 and y? 
33
Suppose 0 = -5*o - 6 + 226.  Suppose 12 = b - o. What is the smallest common multiple of 22 and b? 
616
Let l(c) = 2*c - 11.  Let w be l(7).  Suppose 5*p = w*x + 23, -p + x - 2 = -7.  Let h = 33 - 23.  What is the least common multiple of p and h? 
20
Let u = -51 + 32.  Let x(t) = t**3 + 21*t**2 + 37*t + 3.  Calculate the least common multiple of 32 and x(u). 
352
Find the common denominator of 1315/60 + 1 + 12/9 and -55/36. 
36
Let y(t) = 6*t + 2.  Suppose -2*w = -5*h + 50, 0*w + 4*w = 3*h - 30.  What is the least common multiple of h and y(3)? 
20
Suppose -3*u = -6, -3*n - 3*u = u - 26.  Let y be (1*-4)/2*-1.  Let m = y - 0.  What is the smallest common multiple of n and m? 
6
Suppose 100*o - 107*o + 3080 = 0.  What is the smallest common multiple of o and 18? 
3960
Let c = -1598 - -1620.  Calculate the lowest common multiple of 176 and c.
176
What is the common denominator of (-1 - 354/(-45))/(192/(-160)) and 86/135? 
270
Let z = -544093/34 + 16001.  Find th