Let o = 12 + -9. What is the common denominator of 47/6 and -2 - (-64)/5 - o?
30
Let b = 119 - 201. Find the common denominator of (b/(-4))/((-40)/12) and 57/20.
20
Let g = -12 - -5. What is the common denominator of g and ((-4)/16)/(2/60)?
2
Let h = 47573/11 - 4322. What is the common denominator of h and (-3)/5 + (-7)/(-105)*-241?
33
Let a(o) be the first derivative of -11*o**3/3 - 6*o - 2. Let u be a(7). What is the common denominator of -31/8 and u/(-6)*2/(-30)?
72
What is the least common multiple of 6/5*(4 - -1) and 1*10 - (-8 + 8)?
30
Let i(w) be the second derivative of w**4/6 - w**3/6 + w**2/2 - 5*w. What is the least common multiple of i(3) and 4?
16
Calculate the common denominator of 318/80 + (-64)/32 and 111/44.
440
Let j be 3/3*(-1)/218. Let d = -129364/1065 - -59457479/464340. Let g = d - j. What is the common denominator of 23/10 and g?
60
Let q(w) = w + 19. What is the smallest common multiple of 14 and q(-7)?
84
Let l(f) = f**2 + 1. Let q be l(1). Suppose 4*a = -z + q*z, -21 = -5*z - a. Calculate the smallest common multiple of z/18 + 52/9 and 20.
60
What is the common denominator of 3/(54/(-411)) - 0 and -61/10?
30
Find the common denominator of 2/(-5) + 1420/(-75) and 57/7.
21
Suppose 0 = -4*c + r - 0*r + 20, -4 = r. Let n = 6 + 2. What is the lowest common multiple of n and c?
8
Suppose 0 = 3*n - 3, -4*n = -3*y + y - 2. Suppose -k = -y - 3. What is the least common multiple of k and 7?
28
Let v(o) = -9*o**2 + o - 1. Let t be v(1). Calculate the common denominator of 57/5 and (3/(-12))/(t/244).
45
Let t(y) = y**3 + 4*y**2 - y. Let n be t(-3). Let a(m) = -m**2 + 18*m - 30. Let v be a(16). Find the common denominator of v + ((-266)/n)/(-7) and -63/22.
66
Suppose -l = -4*l + 2*j - 1, -l - 5*j + 28 = 0. Calculate the smallest common multiple of (-1 - 0)*(-4 - -2) and l.
6
Let a = 300917/67620 - 2/16905. Calculate the common denominator of -91/122 and a.
1220
Let o be 2/12 - (-145)/(-6). What is the least common multiple of 2 and -2*(3 - o/(-3))?
10
Suppose -14 - 42 = -7*j. Calculate the lowest common multiple of j and 16.
16
Suppose 0 = 2*f - 0*f + 172. What is the smallest common multiple of f/(-4) - 5/(-10) and 22?
22
Suppose 0*z - z + 5 = 0. Let s(j) = j**2 + 2*j + 6. Let g be s(z). Find the common denominator of (-2)/(-18)*g - 0 and -47/8.
72
Calculate the common denominator of -87/16 and (-6)/28*280/(-16).
16
Suppose 0 = -3*o - 5*j - 111, 5*j + 12 + 3 = 0. Let l be ((-2)/(-4))/(10/(-120)). What is the common denominator of 65/6 and l/4*o/(-66)?
66
Find the common denominator of 6/8 + (-167)/28 and -77/18.
126
Let z = -47/86 + 2/43. Find the common denominator of z and -89/16.
16
Let i be 47549/(-7380) - (-4)/18. Let a = i - 6/205. Calculate the common denominator of a and 111/14.
28
Suppose 4*b = 4*a - 4, -3*b - 5*a = -7*b - 6. What is the common denominator of b*20/(-48)*-2 and 37/14?
42
Let d = 11 - 5. Calculate the smallest common multiple of d and 2.
6
Let s = -52/173 + 635291/692. Let x = -938 + s. Calculate the common denominator of ((-2)/(-15))/((-8)/(-129)) and x.
20
Let k(m) = -4*m + 5. Let i(q) = q - 1. Let c(r) = -9*i(r) - 2*k(r). What is the smallest common multiple of c(-9) and 6?
24
Let r = 1/489 - 38633/978. Let j = 3/2699 - -358949/16194. What is the common denominator of r and j?
6
What is the common denominator of (-8)/(-10)*-4*1 and -42?
5
Let k be (691556/32)/(11/4). Let c = k + -7860. Find the common denominator of -49/18 and c.
198
Find the common denominator of 1 + 1 + 138/(-96) and -65/12.
48
Let z = -5745 - -126347/22. What is the common denominator of -2*(-1)/12*139 and z?
66
Let p(s) = 357*s + 3. Let m be p(3). Suppose 861 = 3*o - m. Calculate the common denominator of 99/2 and 2 + (o/(-24))/(-5).
8
Suppose 0 = -2*k + p + 4*p + 17, 0 = -3*p + 9. Calculate the smallest common multiple of (-5 + 2 - -1)*-6 and k.
48
Suppose 3*o = -12*o + 375. What is the least common multiple of o and 50?
50
Let c = 63033126 + -1386990939/22. Let o = c - -11912. Calculate the common denominator of o and 73/16.
176
Let l = -843 - -5149/6. What is the common denominator of -64/21 and l?
42
Suppose -15 = -5*z + 2*z. Suppose s - 18 = z*o - 0*o, 0 = -3*s - 2*o + 20. Calculate the smallest common multiple of s and 10.
40
Suppose 0 = m + 14 + 49. Let p be (-3 - 4) + 1 - -3. Find the common denominator of p/m*606/(-4) and -91/4.
28
Suppose -4*t + 110 = 2*l - 2*t, 5*l = -2*t + 284. Suppose 0 = -y - 2*y - 5*z + 40, -4*y = -5*z - 30. What is the least common multiple of l and y?
290
Calculate the common denominator of (-1)/(-3) + (-292)/66 and 55/6.
66
Let b be 3 + -4 + 1377/32. Let o = b + -17/32. Calculate the common denominator of o and 1/(-4) - (-2 + 1).
4
Let f be (-3 - -287)*(-6)/(-8). Calculate the common denominator of (-1)/(-1) - f/30 and 22/5.
10
Let c = 25 - 15. Calculate the smallest common multiple of 18 and c.
90
Let b(w) = w**3 + w**2 - 17. Let q be b(0). Let d = q - -26. Let r(n) = -11*n**3. What is the least common multiple of d and r(-1)?
99
Let i(u) = -u**3 - 6*u**2 + 4*u - 7. Calculate the least common multiple of i(-7) and 14.
14
Let g = -1495 - -2925/2. Let z = -91 + 290/3. Let p = -131/24 - z. Find the common denominator of p and g.
8
Suppose -o = 3*u + 4, -2*o - 12 = -4*o + 4*u. Find the common denominator of 52/9 and o/(-4) + (-183)/(-24).
72
Suppose 2*c - c + 3*r = 28, 72 = 2*c - 2*r. Calculate the smallest common multiple of c and 20.
340
Suppose -t + 4*t = 30. Calculate the common denominator of 5/22 and -3 + 93/36*t.
66
Let k be (4/(-6))/(2/(-2589)). Let a be (-194890)/225 + 4/(-18). Let h = a + k. Find the common denominator of h and -24/5.
5
What is the lowest common multiple of 3 and 15 - (3 + (1 - 2))?
39
Suppose 0 = 3*v - 4*v - 4. Let g = v - -15. Let z = g - -11. What is the least common multiple of z and 18?
198
What is the common denominator of 1/3 + (-300)/(-99) and ((-142)/8)/((-40)/(-16))?
110
Let d = -3567 - 666. What is the common denominator of 69/16 and d/(-34)*(-2)/42?
112
Suppose -4*r + 2*r + 4*v = 88, -2*r - 3*v - 102 = 0. Find the common denominator of r and 2 + (-92)/(-10) + -1.
5
Let q(l) = -2*l - 4. Calculate the smallest common multiple of 6 and q(-6).
24
Let w = -8/257 + 17283/2056. Let s = -32138/9 + 3563. What is the common denominator of s and w?
72
Suppose z + b = -2*z + 43378, 2 = 2*b. Let n = z + -318045/22. Find the common denominator of n and -31/8.
88
Let l(q) = q**2 - 10*q - 9. Let s be l(12). Calculate the common denominator of (-2)/(-2)*33/s and -9/2.
10
Let t(m) = 6*m**3 - 3*m**2 + 8. What is the least common multiple of t(2) and 36?
396
Let p = -68531/10 - -6846. Calculate the common denominator of p and 87/22.
110
Suppose 288 - 48 = 5*k + 3*g, 5*g + 144 = 3*k. Suppose -1 = 3*p - 61. Calculate the lowest common multiple of p and k.
240
Suppose -36*f = -5*f - 62. Let i = 16 - 6. What is the smallest common multiple of i and f?
10
Let m = 10399/12 + -865. What is the common denominator of m and 13/14?
84
Let w be (2 + 1)/(-3) - -6. Let l be (6/w)/((-2)/20). Find the common denominator of 127/6 and ((-87)/12)/(l/3).
48
Let b = 25327/125 - 1302/125. Let w = b + -1014/5. Find the common denominator of -87/10 and w.
10
Suppose 3*x - 5*x - 4 = -2*d, 2*x = -3*d - 9. What is the common denominator of 117/10 and x/16 + (-2)/1?
80
Let d = 265751751/40486564 + 1/235387. Let p = 35/43 - d. What is the common denominator of p and 31/4?
4
Let d(u) = u**3 - 6*u**2 + 4*u + 7. Let p(h) = h**2 - 3*h + 4. Calculate the least common multiple of d(5) and p(4).
8
Calculate the smallest common multiple of 12/9 + 6/9 and 10.
10
Let b = 1849/8 - 220. Find the common denominator of b and 145/24.
24
Suppose 0 = -2*i + 23 - 1. What is the smallest common multiple of 1 and i?
11
Let f = -9 + 5. Let k = f - -5. Let g(o) = 17*o**2 - 2*o + 1. Calculate the lowest common multiple of 20 and g(k).
80
Suppose w = 2*w - 3*o - 45, -3*o + 12 = 0. What is the common denominator of -27/10 and (-1)/(-12)*(w + 1)?
30
Let d = 21/2 - 31/10. Suppose 5*g - 90 = o, -2*g - 2*o + 3 + 21 = 0. Calculate the common denominator of d and (4/(-14)*g)/2.
35
Suppose 4*k + 40 = 228. Suppose 23 = 5*w - k. Suppose -5*v + 16 + w = 0. Calculate the lowest common multiple of v and 22.
66
Let q = 35 + -23. What is the le