t k = -6 + 8.  Let p(a) = 13*a**k - 12*a**2 - 14*a + 4 + 12.  What is the least common multiple of p(14) and 8? 
16
Let c = 21765 - 391631/18.  What is the common denominator of 140/25*(-24)/(-28)*-1 and c? 
90
Let a = -347/118 + 33061/13570.  What is the common denominator of a and 54/55? 
1265
Let j be 1*(0 - (3 - 3)).  Let a = -6434/45 + 736/5.  What is the common denominator of a and -46*((-1)/18 - j)? 
9
Let s(h) = -h - 5.  Let k be s(-7).  Suppose 0 = -k*x - 0*x.  Suppose x = -a + 9.  Calculate the least common multiple of a and 11. 
99
Let d = 241502 + -2387177/10.  Let q = d + -2782.  What is the common denominator of q and 77/6? 
30
Let h = -986 - -1034.  Calculate the smallest common multiple of h and 156. 
624
Calculate the lowest common multiple of (6/10)/(58/12470) and 21. 
903
Suppose 152 = -12*d + 16*d.  Let c = d - 14.  What is the common denominator of 139/6 and (-20)/c*52/(-10)? 
6
Suppose 4*b - 82 - 14 = 0.  Suppose f + 12 = 5*i, 2*f + i = 3*i + 24.  Calculate the lowest common multiple of b and f.
72
Let n = -21499019551203011/2160 + 9953249582309.  Let d = n + 1049583/5.  Let k = d - -100/27.  Find the common denominator of k and -23/12. 
48
Let t = 111 - 3.  What is the least common multiple of t and 8? 
216
Let t = -105866/9 + 11764.  Find the common denominator of t and (-5)/7 - (-3 + 2). 
63
Let d = -112 + -372.  Let z = 2915/6 + d. What is the common denominator of -39/14 and z? 
42
Suppose -38 = -2*v + q, 5*v + 11*q = 12*q + 92.  Let p(d) = -d**2 - 19*d - 6.  Calculate the least common multiple of p(-13) and v.
72
Let b = -3 - -8.  Suppose 0 = -3*c + 1 + b, -54 = -4*q + 3*c.  Let v = -13 + q. Calculate the lowest common multiple of 1 and v.
2
Let r = -8754 + -1820.  Let y = 83156707499/7855570 - 15/785557.  Let x = y + r. Find the common denominator of x and -13/9. 
90
Let t(d) = -d**2 - 14*d - 2.  Let s be t(-11).  Suppose f - 116 = 6*f - 4*o, -4*f + o = 84.  Let p = s + f. Calculate the smallest common multiple of p and 5. 
55
Let j be (3/(-36))/((-33)/1194).  Let t = j - 2/11.  Let p = 61283/11560 + -3/2312.  What is the common denominator of p and t? 
30
Let u = -184530/7 + 26705.  Let s = -4909/14 + u. Find the common denominator of s and 95/6. 
42
Let b(n) = 5 + 1 + 46*n - 45*n + 7.  What is the least common multiple of b(-3) and 20? 
20
Let k = 1860/11 + -19403/110.  Let x = -15/7 - -283/70.  What is the common denominator of k and x? 
10
Let h = 3429/13 + -213443/806.  What is the common denominator of 39/11 and h? 
682
Let l = -902 - -966.  Calculate the lowest common multiple of l and 32. 
64
Let s = 7264/6327 + -529/666.  Calculate the common denominator of -51/8 and s.
1368
Let m be 2/(-3) + 11/(-33).  What is the common denominator of (m - 0)/(66/282) and 73/3? 
33
Suppose -7 = -2*t - 3*s, -t + 4*s + 19 = 2*t.  Suppose -f + 4 = -4*j + 5, -5*j = -t*f - 20.  Calculate the lowest common multiple of 1 and (f - -5) + (-3)/(-1). 
3
Let b = -3/119 - 6771/476.  What is the common denominator of 77/46 and b? 
92
Let k(v) = 6*v + 2.  Let q be k(5).  Let f be q/(-6)*(-3)/2.  What is the common denominator of 127/6 and (-295)/f*(-7)/(-70)? 
48
Suppose -5*t + 6 = -2*t.  Suppose -11*g + 2496 = g. Suppose -211*v + 18 = -g*v.  What is the smallest common multiple of v and t? 
6
Let z(s) = s**3 + 8*s**2 + 9*s + 8.  Let j = -11 - -4.  Let o be z(j).  Calculate the common denominator of 79/10 and (-4)/110 - o/(-10). 
110
Let s(l) = l + 1.  Let m be s(-4).  Let a = m - -10.  Suppose a - 4 = u. What is the least common multiple of 32 and u? 
96
What is the smallest common multiple of 90 and 7/(-42) - 362/(-12)? 
90
Let h = 12584 - 176247/14.  Calculate the common denominator of -87/20 and h.
140
Suppose -3*t = -1393 - 506.  Find the common denominator of 1/90*t - 4 and -56/9. 
90
Suppose 3*j = 5*v + 49 - 185, j = -2.  Calculate the lowest common multiple of v and 3/(-12) + (-50)/(-8). 
78
Suppose 0 = a + 3*a.  Suppose 3*p - 12 = a, -p = -2*u + p. Suppose 4*z - u*x = 48, 0*x + 2*x = 5*z - 45.  What is the smallest common multiple of z and 9? 
63
Let x = 3/797 - -42235/1594.  Calculate the common denominator of x and -99/34. 
34
Let s = -18145/2 - -9740.  Let d = 3281/5 - s. What is the common denominator of (-4 - -1)/((-2)/(-17)) and d? 
10
Suppose 68 + 57 = 2*l - g, -5*g - 67 = -l.  What is the lowest common multiple of l and 8? 
248
Find the common denominator of 55/84 and 7/(-6)*(-1580)/(-560). 
168
Suppose 4*b + 211 = -5*q + b, 0 = -b - 2.  What is the common denominator of 2/(64/(-420)) + 6 and q? 
8
Let i = -12545/1956 + -1/326.  What is the common denominator of 37/212 and i? 
636
Suppose -b - 2 = 0, -5*y + 3*b + 2*b = 5.  Let q be 0/y*2/2.  Let x = 5 - q. What is the smallest common multiple of x and 11? 
55
Find the common denominator of 79/1586 and -5 - ((-2)/(-4) + 56/(-5)). 
7930
Calculate the least common multiple of 2/(-3)*-1*(-138 + 147) and 9. 
18
Let w(c) = 7*c - 59.  Let k(z) = -13*z + 116.  Let j(q) = 4*k(q) + 7*w(q).  What is the lowest common multiple of j(16) and 8? 
24
Let d(w) = w**2 + 5*w - 4.  Let n be d(-10).  Let k = n - 2.  What is the smallest common multiple of 18 and k? 
396
Let t be (5/(-10))/((-3)/6).  Find the common denominator of 111/14 and (1182/144 - t/3) + -1. 
56
Let g = 47401/1947 - 8/649.  Find the common denominator of g and 13/64. 
192
Let b be (-4)/8*(-1 - 1).  Let s = b - 3.  Let h = s + 11.  Calculate the lowest common multiple of 4 and h.
36
Let d(n) = n**3 - 15*n**2 + 16*n - 31.  Let o be d(14).  Calculate the common denominator of (-12)/o + -5 - 258/(-28) and (-290)/(-4)*3/(-5). 
14
Calculate the common denominator of ((-232)/36)/(32/(-30)) and 3336/144 - (18/2 + -3). 
24
Let q = -20/371367 + -15754502041/3713670.  Let w = q + 4246.  Find the common denominator of w and ((-22)/6)/(2/6). 
10
Let m(j) be the first derivative of -j**4/4 + 3*j**3 - 4*j**2 + 10*j - 42.  Let b = -17 + 25.  What is the least common multiple of 11 and m(b)? 
110
Let u(h) = h**2 + h - 18.  Calculate the lowest common multiple of 72 and u(5). 
72
Let w = -21 - -23.  Calculate the lowest common multiple of 62 and w.
62
Let i = -5877/460 + 8090909/3220.  Let f = i + -2494.  What is the common denominator of f and -41/18? 
126
Suppose 0 = w + 5*x - 12, 3*w + x + x - 23 = 0.  Let l be (-18)/15*(-40)/(-6).  Calculate the smallest common multiple of (-299)/(-92) + (-6)/l and w.
28
Let z(o) = -12*o**3 + 3*o**2 + 5*o + 2.  Calculate the least common multiple of 27 and z(-1). 
108
Let m = 18/19 - 204/95.  Let n = -10221/4 - -2543.  Calculate the common denominator of n and m.
20
Let m = 109/6 + -51/2.  Let r = -1388/503905 + 6739940467/1393801230.  Let c = 1/2305 + r. Find the common denominator of m and c.
6
Let c = 16189/6 + -2707.  Calculate the common denominator of -41/26 and c.
78
Let y = 28107/10 - 2805.  Let u = 397/40 - 85/8.  Find the common denominator of u and y.
10
Let a be 5282810/(-2)*(-1)/(-140466).  Let y = a - -771/41.  Let i = y - 155887/13704.  Find the common denominator of i and 89/6. 
24
Let x = 6217/6678 - -5/371.  Let o = 5040 + -105790/21.  Calculate the common denominator of x and o.
126
Suppose -426*r + 464*r = 13110.  What is the smallest common multiple of r and 5? 
345
Let v = -157085/7 + 18848611/840.  Let m = v - 1/120.  Calculate the common denominator of -161/30 and m.
30
Find the common denominator of (2 + (-76)/24)*(-35)/(-30) and -99/74. 
1332
Let f = -11323 + 305680/27.  Calculate the common denominator of f and 151/90. 
270
Let h(g) = -g**3 + 6*g**2 + 4.  Let x be h(6).  Calculate the least common multiple of 72 + x + (-1 - 3) and 20. 
360
Let x = -7328/354195 - -12/463.  Let a = 14471/12240 + x. Let o = 1565477/303980 - -1/15199.  Calculate the common denominator of a and o.
80
Let v be 350 - (-1 + 15/(-3) + 5).  Suppose 2*k - 5*t + 5 - 3 = 0, 0 = -k + 4*t - 4.  Find the common denominator of -63/4 and k/(-26) + (-1623)/v. 
36
Let q = -529 + 549.  Calculate the lowest common multiple of q and 108. 
540
Suppose a + 5*a - 222 = 0.  Suppose -5*j = -a - 53.  Suppose -4*l + 20 = -4*k, -4*k - 11 - 1 = 0.  Calculate the least common multiple of j and l.
18
Let n = 18402 - 2208419/120.  Calculate the common denominator of -143/96 and n.
480
Suppose 6*b = -r + 5*b + 2, -1 = -2*r - 3*b.  Suppose -l = 2*h - 2*l - 6, 0 = r*l - 10.  Let f = h + 5.  What is the least common multiple of 10 and f? 
90
Let v(c) = c**3 - 7*c**2 + 11*c - 2.  Let k be v(5).  Suppose 