. 
990
Suppose -18*j + 1044 + 252 = 0.  What is the lowest common multiple of 270 and j? 
1080
Let q = 10 - 8.  Suppose 5*z + 2*t - 26 = 0, -2*z - 18 = -5*z - q*t.  Calculate the lowest common multiple of 1 and z.
4
Let z(i) = i**2 + 3*i - 5.  Let n be z(2).  Suppose 2*b - 4*p - 31 = p, 13 = b - n*p.  What is the least common multiple of 18 and b? 
18
Let s = -19011/79 - 2484221/632.  Let v be 1*7*(-2 + 599).  Let f = v + s. Find the common denominator of -57/4 and f.
8
Suppose -3*k = -2*d - 3*d + 150, 30 = d + 4*k.  Let t be (-1 - 6)*d/(-35).  Suppose -t = -3*m + 18.  What is the smallest common multiple of m and 8? 
8
Let p be -24 - (-12)/(-3 + -1).  Let o = 33 + p. What is the least common multiple of o and 2? 
6
Find the common denominator of 2 + -12 + 6104/651 and -31/5. 
465
Suppose 3*w - 2*l + 19 = -0*l, -7 = -w - 2*l.  Let f(g) = -8*g - 8.  What is the least common multiple of f(w) and 18? 
144
Let z = -1/22540 + 250759/33810.  What is the common denominator of z and -133/12? 
12
Find the common denominator of (-580)/(-36)*-6*2/(-152) and -17/24. 
456
Let s = 15902 + -556632/35.  Find the common denominator of -36/25 and s.
175
Suppose 57*a - 44281 = -10195.  Calculate the lowest common multiple of a and 16. 
4784
Suppose -2*u + 111 = -o, -o + 4 = 3*u - 155.  What is the smallest common multiple of 16 and u? 
432
Let j = 89867/2334 + -4/1167.  What is the common denominator of j and 43/136? 
136
What is the lowest common multiple of 3 + -1 - (-5 + -2 + 4) and 25? 
25
Find the common denominator of 3/2 - 3 - 202/(-198) and 51/8. 
792
Let i(o) = 85*o + 7.  Let t be i(9).  Let w = 12373/16 - t. Calculate the common denominator of w and 103/34. 
272
Suppose q - 47 = 3*x + 2*x, 0 = -2*x + 4*q - 26.  Let z(f) = f**2 + 8*f - 5.  Let m = -87 - -91.  What is the least common multiple of m and z(x)? 
4
Let w(o) = o**2 + 7*o + 2.  Let s be w(-7).  Suppose 0*r - f = -3*r + 44, -f + 26 = s*r.  Calculate the least common multiple of (9/(-6))/(8/(-416)) and r.
546
Suppose -4*f = -641 - 159.  Suppose 13*k - f = 3*k.  What is the smallest common multiple of k and 4? 
20
Suppose -5*l - 19 + 49 = 0.  What is the lowest common multiple of 6 and l? 
6
Let w(a) = 3*a**2 + 4*a + 3.  Suppose 2*t = -4*i - 3*t + 15, 5*i = 4*t + 70.  What is the least common multiple of w(-2) and i? 
70
Let v = -209909/792 - -2384/9.  Find the common denominator of v and -9/32. 
352
Let i = 49 - 25.  Calculate the common denominator of 48/512*-130 - 6/(-1) and 0/3 - (-226)/i. 
48
Let u(l) = 2*l**3 + 14*l**2 - 2*l + 5.  Let x be u(-7).  Suppose 4*z - x = 1.  Calculate the smallest common multiple of z and 1. 
5
Suppose 78 = 27*j - 111.  Let d(f) = 3*f + f**3 + f**2 - 8 + 4*f + 9*f**2.  Calculate the lowest common multiple of d(-9) and j.
70
Suppose 4*x = w - 26, -x = 5*w - 2*w.  Let j(b) = 12*b**2 - 2*b + 1.  Let n = 0 - -1.  What is the lowest common multiple of j(n) and w? 
22
Let n(h) = -143*h - 2.  Let o = -2 + 1.  Let l be n(o).  What is the common denominator of 11/18 and l/(-16) + 8 + -5? 
144
Let n = 76704131/550 + -139462.  What is the common denominator of -31/2 and n? 
550
Suppose -9*s + 28560 = 76*s.  Calculate the least common multiple of 144 and s.
1008
Suppose -7*p + 3*p = 3*x - 40, -4*x = -p - 47.  Let a(b) = -b + 26.  What is the least common multiple of a(x) and 3? 
42
Suppose 0 = -5*s + 2*c - 3, s = 2*c - 0*c - 7.  Suppose 0*g = -q - 2*g - s, -5*g + 2 = 4*q.  Calculate the lowest common multiple of 54 and q.
54
Let y be ((-114)/95)/((-6)/(-20)).  Let n(b) = b**3 + 3*b**2 - 5*b - 1.  Calculate the smallest common multiple of 8 and n(y). 
24
Suppose 3*j = 3*u - 285, -5*u + 7*u = 4*j + 194.  Calculate the common denominator of 41/12 and (12 - 15)/(-1 + u). 
276
Let b be (16/(-4) + 54)/1.  Find the common denominator of 1 + b/18 - (1 - 2) and 43/3. 
9
Suppose -116 = -26*b + 118.  What is the lowest common multiple of 21/1 + 2 + 1 and b? 
72
Let p be ((-906)/42)/(2/377).  Let i = p - -4070.  What is the common denominator of 51/14 and i? 
14
Let d(z) = z + 1.  Let c be d(0).  Let g = -1105157/42 + 26312.  What is the common denominator of -19*2/16*c and g? 
168
Let b = 23 - 15.  Suppose 2*p - 10 = -3*z, -2*p = -0*p - z - 18.  Let o = p - 1.  What is the lowest common multiple of b and o? 
56
Let d be (-2 - -256)*(0 - 1).  Calculate the common denominator of -113/6 and (d/(-60))/(66/55). 
36
Let w = -604 - -1154.  What is the smallest common multiple of w and 150? 
1650
Let m = 41/6 + -151/30.  Calculate the common denominator of -77/8 and m.
40
Let c be (-52 + 3 + 1)/(-1).  Let x = -32 + c. Calculate the smallest common multiple of x and 50. 
400
Find the common denominator of 2 + (-18)/12 - (-253)/198 and -43/1140. 
3420
Let s = -156623/16 + 9793.  Let c = -7779293/308 + 275362/11.  Let l = c + 1486/7.  Calculate the common denominator of s and l.
16
Let m be (6/(-4))/((-21)/11310).  Let v = m + 6871/28.  Let h = 10497/10 - v. What is the common denominator of h and 101/8? 
40
Suppose -q = 2*i + 2, 4*q + 8 = 5*i - 13.  What is the common denominator of (23/(-20))/(1/q) and 2145/(-22)*(-4)/18? 
15
Suppose 364 = -3*q + 400.  What is the lowest common multiple of q and 36? 
36
What is the common denominator of (-81)/135 + -1 + (-141)/(-30) and (118/4)/((-5)/2)? 
10
Suppose 0 = -4*z + 17 + 3.  Suppose j = z - 2.  Calculate the common denominator of 133/18 and (j - 1)*325/60. 
18
Let g(v) = 4*v + 1.  Let h be g(1).  Let w(a) = 10*a - 36.  Calculate the smallest common multiple of w(h) and 12. 
84
Let v(c) = -8*c**3 + 3*c**2 + 5*c + 6.  Let t be v(-5).  Let w = -4157/4 + t. Find the common denominator of 157/30 and w.
60
Let h = -18475265/788676 - 139/9389.  Let r = h + 263/21.  Let l = 1975/318 + -7/159.  Find the common denominator of l and r.
12
What is the common denominator of (-343)/(-240) - 77/385 and ((-22)/(-72))/(2/(-20))? 
144
Let b = 3 + -1.  Suppose u = -b*u - 48.  Calculate the least common multiple of 8 and (8/u)/((-1)/14). 
56
Let s = 3625/7 + -518.  Calculate the common denominator of 49/164 and s.
1148
Suppose -197*z = -181*z - 96.  Let q(h) = -h**3 - 3*h**2 - 7*h + 1.  Calculate the smallest common multiple of q(-5) and z.
258
Suppose 4*k - 5 = -3*d + 2, 2*k = 4*d - 46.  Let v be 6/(-8) - 201/(-12).  Let o = v - 13.  What is the lowest common multiple of d and o? 
9
Let v = -18 - -15.  Let b be v/6*(-9 - -1).  Calculate the common denominator of 109/10 and 30/(-2)*b/8. 
10
Calculate the common denominator of (-11)/88 - 132/16 and 37/20. 
40
Let v = -9733 + 233669/24.  What is the common denominator of (-51)/54 - 8/(-16) and v? 
72
What is the common denominator of (-13)/14 - (-3)/30 and 111/50? 
350
Suppose -2*b = 3*j - 115, 0 = -5*b - j + 308 - 27.  What is the lowest common multiple of b and 42? 
168
What is the common denominator of (2/147)/((-12)/(-45)) and -19/56? 
392
Let h = 4547/6 - 761.  Let j(u) = 4*u**2 - 2.  Let q be j(3).  Find the common denominator of q/153 + 47/(-90) and h.
30
Suppose -3*q - 6 + 18 = 0.  Let b be (1 - 1)*(-4 - (-1 - 4)).  Suppose b*d = -4*d + 4.  What is the least common multiple of q and d? 
4
Let w = 1231902143/503588 - -1/251794.  Let p = w - 2470.  Let n = -2503 + 60107/24.  What is the common denominator of p and n? 
24
Let o(l) = -7*l + 1.  Suppose -5*j + 16 + 19 = 0.  Let d = j + -8.  Calculate the lowest common multiple of o(d) and 8. 
8
Let g be 9/(-18) + (-10)/(-4).  Suppose 7*p = g*p - 2025.  Calculate the common denominator of 40 and 2/(-8) + p/204. 
17
Suppose -15 = 3*i, 2*b + 490 = 3*b - 5*i.  Let z = -71452 + 431591/6.  Let d = z - b. What is the common denominator of -64/3 and d? 
6
Calculate the least common multiple of 3/((-9)/(-12)*1) and 7. 
28
Let d = -108487/18620 + -22/931.  Let h be 86 - 0*(-1)/(-4).  Calculate the common denominator of d and (h/(-4))/(1*2). 
20
Suppose -5*r + 25 = -0*r, 1 = -2*z + r. Calculate the common denominator of 1*-1 - (-1271)/(-451) and 222/27*2/z.
99
Let b = -4428165804977/21764412393724 - 21/268683181.  Let z = b + -2/1841.  What is the common denominator of -45/11 and z? 
44
Let d(l) = -2011*l - 15.  Let c be d(3).  Calculate the common denominator of 39/8 and 6/(c/3124) - (-2)/(-9). 
56
Let u(l) = -6*l + 2.  Let v be u(-6).  What is the common denominator of ((-22)/4)/(v/(-14)) and -71/12? 
228
Let j(n) = n**3 - 15*n**2 - 16*n - 9.  Let c be j(16).  Let z be 1191/c*(-78)/(-4384).  Let b = 40/137 + z. What is the common denominator of 81/14 and 