
56
Let w = 120 - 128. What is the common denominator of w and 56/5?
5
Calculate the least common multiple of 20 and (-40)/3*9/(-6).
20
What is the common denominator of -91/4 and 35/(-4) - (-11)/(-88)?
8
Suppose -p - 4*a - 11 = 0, -3*a - 7 = 5*p + a. Suppose -d = 2*l - 6*l + 4, 5*l + 15 = 0. Calculate the common denominator of (-10)/d - -1 - 2 and p.
8
Let r(f) = 10*f**2 - 3*f + 1. Let s be r(1). Calculate the common denominator of s/(((-35)/6)/7) and 76/3.
15
Suppose -x = -o + 3, -o + 4 + 3 = 3*x. Calculate the least common multiple of 6 and o.
12
Let t(i) = -i**3 - 7*i**2 - 8*i - 2. Let j be t(-6). Let s = -1184 - -2285/2. Find the common denominator of s and (-1818)/420 + 4/j.
14
Let r(b) = b**3 + 6*b**2 + 3*b - 2. Let p be r(-5). Suppose 12*g = p*g + 16. What is the smallest common multiple of g and 11?
44
Suppose 0 = h - k - 8, 4*k = 3*h + 2*h - 35. Suppose y + 2 + 3 = 0, 0 = -q - h*y - 347. Find the common denominator of 41/8 and q/(-198) - (-2)/(-9).
88
Let v = 34 - 25. Calculate the smallest common multiple of 3 and v.
9
Suppose -h - 4*v + 34 = 0, 7*h - 2*h - 95 = -5*v. Suppose -32 = -3*m + 5*q, -3*q = -7*m + 3*m + 39. Calculate the lowest common multiple of h and m.
126
Let z(f) = -5*f - 7. Let r be 114/(-95)*(-10)/(-4). Calculate the lowest common multiple of z(r) and 4.
8
Find the common denominator of (-12)/(-8)*92/(-30) and ((-260)/(-16))/((-3)/(-2)).
30
Calculate the lowest common multiple of 216/(-6)*(1 - 15/9) and 14.
168
What is the common denominator of 109/22 and (9/15)/((-12)/(-15))?
44
Let o = -14 + -112. Calculate the common denominator of 17/16 and -1 + 3 + 119/o.
144
Let x = -1036/17 - -18026/187. Let q = x - 6021/154. Calculate the common denominator of -9/22 and q.
154
Let q = -14033/1665 + -3/185. Find the common denominator of q and 41/8.
72
Suppose -4*i - 18 = -r, r - 3*r = -5*i - 24. Let g = 0 + r. Calculate the least common multiple of 4 and ((-32)/(-20))/(g/10).
8
Let g = 408329/150 - 15602/75. Suppose 2*u - 1968 = 3098. Let i = g - u. Calculate the common denominator of -11/7 and i.
42
Let g = 126 - 86. Suppose -x - x + 5 = 3*p, -5*x = 2*p - g. Let l = 12 + -4. Calculate the lowest common multiple of l and x.
40
Let w = 133 + -94. Suppose -2*p = -2, 2*l + 0*p - 69 = p. What is the common denominator of w and (-1 - -1) + (-235)/l?
7
Suppose -3*a = -0*a - 36. Suppose 4*x - 9 = x. Suppose x = 3*h, -f + 17 = h - 6*h. Calculate the smallest common multiple of a and f.
132
Let g = 45 + -27. Let y(n) = n**2 - 6*n - 6. Calculate the least common multiple of y(8) and g.
90
Let p(w) be the first derivative of w**4/4 - w**3 - 2*w - 6. Calculate the least common multiple of 12 and p(4).
84
Let h = -17 + 37. Let j = 27 + -11. What is the smallest common multiple of h and j?
80
Suppose 0 = 2*l - 3*k + 6, 3 = 3*l - 2*l - 3*k. Find the common denominator of (-12)/(-18) + 37/l and (2 - 24)/((-36)/8).
9
Let i = 26 + -14. Calculate the common denominator of -32/11 and (7/i*-2)/1.
66
Let w(a) = -a**2 + 11*a - 6. Let j be w(10). Let l be (j + 0)*4/(-8). What is the least common multiple of 5 and (-21)/(-2) - l/(-4)?
10
What is the common denominator of 73/10 and (-1 + -1)/(28/(-24))?
70
Calculate the common denominator of 6/(-15) - (-15)/(-6) and 23/18.
90
Suppose -2*d = -4*n + 15 + 1, n - 3 = d. Let x(r) = 2*r. Calculate the lowest common multiple of x(n) and -2 - (-1 - -5)*-3.
10
Let v(g) = 2*g - 8. Let o be v(5). Suppose p = -2*r - 0*p + 8, -2*p - o = -5*r. What is the lowest common multiple of 1 and r?
2
Let a(z) = -4*z - 1. Calculate the smallest common multiple of a(-2) and 5.
35
Let a(n) = n**2 + 8*n - 5. What is the smallest common multiple of a(-9) and -7*(-2)/2*1?
28
What is the common denominator of -23/2 and (-124)/25*15/6?
10
Suppose -8*u + 60 = -2*u. Calculate the smallest common multiple of 2 and u.
10
Let n = -3/197 + 3361/788. What is the common denominator of n and 1/7?
28
Let z = 1591/4 + -410. Calculate the common denominator of z and -35/4.
4
Let k = -6 + 10. Suppose 3*f + 2*f = -10, 5*h = -2*f + 46. Suppose h*w = 5*w + 30. What is the least common multiple of k and w?
12
Let o be ((-128)/(-150))/(132/868). Let n = -1/4950 + o. Calculate the common denominator of -89/22 and n.
198
Let o be 2/(-7) + 1368/84. Calculate the lowest common multiple of ((-30)/8)/((-3)/o) and 12.
60
Suppose 2*t + 88 = 2*w, 2*t - 4 = -10. What is the common denominator of w/12*(-6)/4 and 5/12?
24
Let n = -163 - -178. What is the lowest common multiple of 78 and n?
390
Let q = 7 + -11. Let g(r) = -28*r - 4. Let l be g(q). What is the common denominator of (-1 + 34)*10/l and -35/16?
144
Let p(h) = h**2 - 4*h + 1. Calculate the lowest common multiple of p(-3) and (-5 - -4)/(2/(-64)*2).
176
Suppose -2 = -3*v + 31. What is the smallest common multiple of v and 3?
33
Let a(v) = v**3 + 4*v**2 - 5*v. Let c be a(-5). Calculate the common denominator of ((5 - -1) + -1)*88/180 and c - 3/(54/88).
9
Suppose -d - 3*r = -0*r - 5, -5 = r. Suppose 5*x - 35 = 5. Calculate the lowest common multiple of d and x.
40
Let c = -6774 - -203129/30. Calculate the common denominator of -29/21 and c.
210
Let k = 2855/138 - 58/23. Let o = -1099/202 - 6/101. What is the common denominator of k and o?
6
Let a(d) = 4*d**2 - 2*d. Suppose 0 = -u + 6 - 2. Let b be a(u). Suppose -q + b = 5*w, 5*w - q = 2*w + 32. Calculate the least common multiple of w and 3.
33
What is the common denominator of -1 - (0 + (-11)/(-5)) and 15/(-20)*(-462)/9?
10
Suppose -8 = 3*t - 20. Let g(v) = -16*v. What is the smallest common multiple of g(-1) and 70/t - (-5)/10?
144
Let m = -323569/5060 - 9/2530. Let g = -296/5 - m. What is the common denominator of g and 85/6?
12
Let a be 2/(-10) + (-165278)/(-40). Suppose -2*r = -4*y - 8200, 0 = -r - 2*y + 4409 - 293. Let n = a - r. Find the common denominator of n and 149/6.
12
Let d = 18 - -7. Suppose 4*h + 1 = d. Let g(x) = x**2 + 14*x + 3. What is the lowest common multiple of h and g(-14)?
6
Calculate the common denominator of -19/24 and (124/(-18))/(104/(-39)).
24
Let w(c) = -8*c**3 + 1. Let j be w(-1). Suppose -3*q - j = -6*q. Suppose 0*s = -3*s + 6. Calculate the smallest common multiple of q and s.
6
Let l(k) = 15*k + 30. Let v(i) = 6*i + 12. Let t(z) = -5*l(z) + 12*v(z). Calculate the lowest common multiple of t(-6) and 12.
12
Let a = -31 - -142. Suppose 3*n + a = 5*i, 0 = 5*i - 18 + 3. What is the common denominator of 2/7 and 484/n*(-8)/(-6)?
42
Suppose -2*p + 5*b - 19 = 0, p + b - 3*b + 8 = 0. Calculate the common denominator of (p/56)/(11/33) and -43/14.
28
Suppose 2*w + 41 = 4*g + 7*w, 5*g + w - 25 = 0. Calculate the smallest common multiple of 16 and g.
16
Suppose -9*a = -4*a - 75. What is the lowest common multiple of 16 and 40/(-6)*(-18)/a?
16
Let c = 73/8 + -257/24. Find the common denominator of c and 113/10.
60
Let w(i) = 5*i - 37. Suppose 4*t - 2*z + 86 = 0, -5*t + 2*z - 44 = -3*t. Let y = 37 + t. Calculate the lowest common multiple of y and w(9).
16
Let f(p) = 73*p**2 - p + 1. Let u be f(1). Suppose -u = 3*l + 59. What is the least common multiple of 4 and (2/4)/((-2)/l)?
44
What is the smallest common multiple of 4 and (12/(-30))/(3/(-90))?
12
Let d = -29/30066 - 128465881/21948180. Let f = -139/73 - d. Calculate the common denominator of -99/16 and f.
80
Let r = 0 + 1. What is the common denominator of 16/(-4)*r/(-7) and 8/9?
63
Let y(i) = i**3 - 2*i**2 - 2*i - 1. Let f be y(3). Suppose -f*v + 34 = 6. Suppose -p + 0*p = -20. Calculate the smallest common multiple of p and v.
140
Suppose -12 = 4*c - 36. Suppose -3*f + 5 + 1 = -3*m, 5*m = f - 22. Calculate the least common multiple of c and (18/8)/f*-4.
6
Let q(k) = 2*k**2 - 2 + 0 - k + 0. What is the smallest common multiple of q(-2) and 26?
104
Let d = 7 + 0. Let b = d - 3. What is the least common multiple of b and (-5 - (-2 - 8/4)) + 17?
16
Let c = 6 + -6. What is the smallest common multiple of c*4/12 + 7 and 19?
133
Calculate the common denominator of (-700)/(-30) + ((-14)/(-4) - 2) and 114/8 + 1 + 1.
12
Let d = -6790 + 875915/129. Let u = 365/172 - d. Find the common denominator of 49/18 and u.
36
Let r(y) be the third derivative of y**5/20 + y**4/24 - y**3/3 + 4*y**2. What is the lowest common multiple of 20 and r(-2)?
40
Let y = -151 + 250. What is the common den