 = -3*a - z + 2*z.  What is the lowest common multiple of (-4)/a + (-966)/(-49) and 18? 
180
Let i(f) = f. Suppose -2*d - 5*h - 11 = 0, -5*d + 10 + 6 = -2*h.  What is the lowest common multiple of 3 and i(d)? 
6
Calculate the common denominator of (-9)/6*(1 + 2) and (3/(-12))/((-6)/135). 
8
Let d = -189991/154284 - -85/69.  Let n = 30743/4472 + d. Find the common denominator of -37/11 and n.
88
What is the least common multiple of 6 and (1 + 1)/(-2)*-20? 
60
Let k(m) = m**2 - 5*m - 4.  Let x = 67 + -48.  Calculate the smallest common multiple of k(6) and x.
38
What is the common denominator of (-7)/(-126) + 2/4 and ((-218)/12 - -1) + 2? 
18
Let z(o) = o - 13.  Let t be z(10).  What is the smallest common multiple of 16 and (30/t)/1*-2? 
80
Let m be 1/(3/(8 - -1)).  Suppose -8 = -g - m*g.  Suppose 0 = -4*d + x + 16, d - 3*x - 2*x - 4 = 0.  Calculate the least common multiple of d and g.
4
Suppose -22 = -4*t + 2*t.  Let p be ((-2)/(-3))/(8/(-36)).  What is the smallest common multiple of t and (-20)/15*(p - 0)? 
44
Let m = 3793 - 30289/8.  Let z = -2 + 16.  Calculate the common denominator of m and 7/2*170/z.
8
Let k(i) = 2*i - 4.  Let x be k(6).  Let a(q) = -q**2 + 9*q.  Let c be a(x).  Suppose 0 = -h - 0*h + c. Calculate the lowest common multiple of 6 and h.
24
Let t(j) be the first derivative of -2*j**2 - 9*j + 2.  Let n be t(-8).  Let x = -13 + n. What is the smallest common multiple of 6 and x? 
30
Let c(j) = -162*j + 2.  Let w be c(-3).  Let p = 1933/4 - w. Find the common denominator of p and ((-79)/30)/(1/(-3)). 
20
Let b(y) = -y + 5.  Let n be b(-4).  Suppose 4*t - 57 + n = 0.  What is the smallest common multiple of 16 and t? 
48
What is the common denominator of -13/7 and (-7)/5*14/(-4)? 
70
What is the common denominator of (18/(-10))/(1/(-6)) and 4/14*(0 - -6)/1? 
35
Calculate the common denominator of (-171)/4*(-5)/15 and 43/38. 
76
Find the common denominator of (6/(-28))/((-3)/(-44)) and ((-3828)/(-1100))/(-1*2/(-5)). 
70
Let h(o) = -5*o - 2.  Let n = -7 - -5.  Let d(z) = -z.  What is the smallest common multiple of d(-12) and h(n)? 
24
Let b = -3559 + -2870.  Let s = b - -141403/22.  Let j = 11703/3344 - 13/209.  Find the common denominator of s and j.
176
Let c(l) = l**3 - 5*l**2 + 2*l - 4.  Let n be c(5).  Find the common denominator of (-2)/4 + (-74)/8 and (2/11)/(n/(-21)). 
44
Let m = 153 + -68.  Let q = 509/6 - m. Calculate the common denominator of 43/2 and q.
6
What is the common denominator of -5/4 and 56/10 - 2/1? 
20
Let a be (-44703)/(-24) - 1/(-4).  Let q = 1858 - a. Find the common denominator of -41/2 and q.
8
Suppose -4*m - 8 = -5*m.  Suppose 5*v - 2*x - 68 - 20 = 0, -5*x - 100 = -5*v.  Calculate the lowest common multiple of m and v.
16
Let q = -92/53 + 1602/1961.  Let o = q + -3163/222.  Find the common denominator of o and 13/4. 
12
Suppose -5*z - 2 = -222.  Calculate the common denominator of z and 17/4. 
4
Suppose 0*y - 4 = 4*y, -4*v + 34 = -2*y.  Let a = 233 - 449/2.  What is the common denominator of (-6)/v*(-134)/(-9) and a? 
6
Let g(s) = s**2 - s. Let u be g(2).  Let y(h) = 2 - h - u. What is the lowest common multiple of 9 and y(-5)? 
45
Suppose -u + 0*u + 12 = 0.  Let d be (9/18)/((-2)/u).  Let z = d + 9.  What is the smallest common multiple of z and 22? 
66
Calculate the smallest common multiple of (3*4)/(4/6) and (45/6)/(-3)*-4. 
90
Let c = -985 + 5891/6.  What is the common denominator of ((-19)/(-2) - -1)/(-10) and c? 
60
Let i = -406 - 320.  Let b be (-12)/(-28) - (-15416)/(-21).  Let g = b - i. Find the common denominator of g and 9/5. 
15
Calculate the least common multiple of 15 and 10/(-25)*-10 + -3. 
15
Let x(i) = 4*i**2 + 4*i + 2 - 1 + 1.  Calculate the lowest common multiple of 11 and x(-2). 
110
Let k(n) = n + 3.  Let j be k(-4).  What is the common denominator of 113/18 and (-452)/64 + j + 2? 
144
Let y(b) = -2 - 1 - 1 + 2*b + 0*b.  Let n be y(3).  Suppose -j - n*l + 16 = j, 2*j - 44 = 5*l.  What is the least common multiple of 20 and j? 
60
Let l be 4/(-1 - -5) - -20.  Calculate the common denominator of (9/6)/(l/64) and 61/6. 
42
Let v(x) = -x - 4.  Let k be v(6).  What is the common denominator of ((-4)/k)/((-4)/(-6)) and (1/((-10)/(-248)))/2? 
5
Suppose 0 = n + 4*y - 0 - 1, 0 = 5*n - 3*y - 5.  Calculate the common denominator of -39/5 and -2*n + (-80)/(-22). 
55
Suppose o = 6 - 0.  Calculate the least common multiple of o and 10. 
30
What is the lowest common multiple of (-3 - -7)*(-2 - 33/(-12)) and 21? 
21
Let z(h) = h + 8.  Let v be z(-7).  What is the common denominator of ((-1)/6)/(v/115) and -51/20? 
60
Let f = -719 - -5765/8.  Calculate the common denominator of 47/10 and f.
40
Let i = -67/28 + 13/4.  Find the common denominator of (-4)/22 + 5440/(-330) and i.
21
Let j(s) = 5*s - 6.  Let c(h) = -h + 1.  Let o(b) = -6*c(b) - j(b).  Let l(v) = -3*v + 1.  Let m be l(-1).  Calculate the lowest common multiple of o(m) and 7. 
28
Suppose -4*p + 6 = -p.  Let l(w) = 3*w - 10*w + 4 + 5*w**p - 3*w**2.  Calculate the lowest common multiple of 12 and l(4). 
24
Let n = -4848 - -116329/24.  Calculate the common denominator of n and 43/12. 
24
Let v = -653 - -1269/2.  What is the common denominator of 55/6 and v? 
6
Let b(o) = 2*o**2 - 2.  Calculate the least common multiple of 2 and b(2). 
6
Let c = -7812 + 93799/12.  Find the common denominator of 55/12 and c.
12
Suppose -8*z - 40 = -5*q - 4*z, -3*q + 24 = z. Suppose 2*g = -15 + 63.  Suppose 4*l - 68 = -g.  What is the least common multiple of l and q? 
88
Suppose -5*n = -7 - 3.  Suppose 2*h + 0*h - 4*o - 20 = 0, -4*o + 10 = 3*h.  What is the least common multiple of h and n? 
6
Calculate the common denominator of 51/7 and (-6)/(-2) - (-78)/(-9). 
21
Let u = 7 + -6.  Calculate the least common multiple of 9 and u.
9
Let b(g) = 4*g - 1.  Let c be b(1).  Let p(m) = -m - 2.  Let n be p(c).  What is the lowest common multiple of (-2 + 1)*(3 + n) and 18? 
18
What is the common denominator of (-4)/(-16) - (-447)/132 and 29/16? 
176
Let h = -1 - 1.  Let p be 6213608/(-720) - h/5.  Let l = p + 8632.  What is the common denominator of l and -95/14? 
126
What is the least common multiple of 16 and (-375)/30*((-18)/5 - -2)? 
80
What is the common denominator of (24/(-60))/((-12)/635) and -1 + 2 - 48/(-22)? 
66
Let d = -8621 - -172489/20.  What is the common denominator of d and 91/8? 
40
Let j = -1231 + 9873/8.  What is the common denominator of j and 117/20? 
40
Suppose 2*t + 0*t + 6 = 0, 5*l - 2*t = 6.  Suppose 0*m + 28 = 4*m.  Calculate the least common multiple of m and (-1 - l) + 5/1. 
28
Let c = -1/3198 + -161491/25584.  Find the common denominator of -1 + 2 + (-5)/(-100) and c.
80
Let a = -34049/490 + 691/10.  Find the common denominator of 13/10 and a.
490
Let d = 33 + -32.  Suppose -13 = -2*p - 3.  What is the smallest common multiple of d and p? 
5
Suppose 10 = -a - 657.  Find the common denominator of 4/22 + a/220 and 86/(-24) + 2/(-8). 
60
Let y be (-6)/(-2) - (-30282)/22.  Let l = -1378 + y. Find the common denominator of l and 45/11. 
11
Let m = -404999239/178755 - 2/59585.  Let h = m + 2241.  What is the common denominator of 40/3 and h? 
3
Let y = 3 + -2.  Calculate the smallest common multiple of y and (2/3)/((-6)/(-81)). 
9
Let u(h) = -1.  Let z(w) = w + 7.  Let n(i) = -5*u(i) - z(i).  What is the smallest common multiple of 18 and n(-8)? 
18
Let b = -29 - -39.  What is the lowest common multiple of 21 and b? 
210
Suppose 4*a + a - 20 = 0.  Calculate the least common multiple of a and 7. 
28
Let y = -46 + 58.  Calculate the smallest common multiple of y and 6. 
12
Suppose 3*i + 14 + 20 = 2*u, -5*i = 2*u + 30.  Let k = 16 + i. Calculate the smallest common multiple of 1 and k.
8
Suppose 4*c + 2*q + 26 = 0, 8 = -4*c + q - 27.  Let n = c + 12.  What is the least common multiple of n and 16? 
16
Suppose 54 = 4*l - l. What is the least common multiple of 10 and l? 
90
Let y = 48 + -92.  Let r = -24 - y. Let h = 18 + -6.  What is the smallest common multiple of h and r? 
60
Let u = 167/8 + -17/2.  Calculate the common denominator of -21/2 and u.
8
Let i(r) = 5*r**3 - 5*r**2 - 4*r + 4.  Let h(m) = m**3 - m**2 - m + 1.  Let v(c) = 4*h(c) - i(c).  Calculate the least common multiple of 9 and v(-1). 
18
Let u(b) = b + 6.  Suppose -2*r = -r.  What is the least common multiple of u(r) and 20? 
60
Let s be 10*(-3)/12*-2.  Suppose s = w + 4*w.  Calculate the smallest common multiple of 3 and w.
3
Let i = 3 - -7.  Suppose -