30
Calculate the common denominator of 32/6*(-1 + 26/24) and -32/7.
63
Let w(v) = -v**2 + 4*v + 5. Let l(c) = -6*c**2 + 21*c + 25. Let o(i) = -2*l(i) + 11*w(i). What is the smallest common multiple of o(-5) and (-4)/(-1 - -3) + 12?
20
Let o be (-1 + -1)/((-8)/16). Calculate the common denominator of 81/o*-2 + 2 and -93/2.
2
Let m = 37082377909/6985760944 - -30/4905731. Let c be ((-6)/40)/(356/10). Let w = c - m. Find the common denominator of 61/20 and w.
80
Let b be (-1 + 7/2)*2. Suppose -w - 60 = -b*f, 4*f = -3*w + 13 + 16. Calculate the lowest common multiple of 4 and f.
44
Let t = 51867/22 + -2357. What is the common denominator of t and -97/34?
374
What is the lowest common multiple of 7 and (3 - -1) + 8 + -8?
28
Calculate the common denominator of 151/12 and (-27)/44 + 0 + 3/(-6).
132
Let g = -13 - -22. Let d be 4/(2/1) - -9753. Let q = d - 97453/10. Find the common denominator of g and q.
10
Let u(q) = -q**3 + 9*q**2 - 5*q + 48. Let c(w) = -2*w - 2. Calculate the least common multiple of u(9) and c(-5).
24
Suppose 0 = 3*b - 10 - 2. What is the least common multiple of b and 6?
12
Let x(p) = 2*p + 4. Let d be (-12)/8 - 52/(-8). What is the smallest common multiple of x(d) and 12?
84
Let u = 12 + -20. Calculate the least common multiple of 1 and (11 + u)/((-6)/(-4)).
2
Suppose s - 5*j + 10 = 0, j - 6 + 42 = 4*s. What is the lowest common multiple of 12*((-3)/2 + 2) and s?
30
Let u = -6 - 17. Calculate the common denominator of u/12 + (-6)/(-4) and -67/14.
84
Suppose -2*v + 3*o + 18 = -5*v, 32 = -5*v - 3*o. Let q be 2/4 + (-23)/(-2). Calculate the lowest common multiple of 7 and (q/(-14))/(1/v).
42
Suppose z - 3*n - 4 = 2*n, -z = -3*n - 2. Let r be 2 - (1 + -2 + -2). Let u = r + z. Calculate the least common multiple of 12 and u.
12
Suppose 3*l + 3 = 6*l. Let p be 878/22 - l/2. Let w = p + -383/11. Find the common denominator of w and 121/18.
198
Suppose -4*w + u - 11 = 0, -5*w - u + 9 = 34. What is the common denominator of 678/(-8)*w/18 and 37/6?
6
Let o(d) = -2*d + 7. Let f be o(9). Calculate the common denominator of (-6054)/(-264) - (-2)/f and -88/15.
60
Suppose -5*d - 3 - 7 = 0. Let g be (-1)/d - (-10)/4. Let l = g + 5. Calculate the smallest common multiple of l and 4.
8
Let a(x) = -7*x**3 + x**2 + x + 1. Let p be a(6). Let n = p - -4444/3. What is the common denominator of -89/6 and n?
6
Suppose -g + 1 = -0*g. Let z(b) = 46*b**3 - b**2 + b - 1. Let h be z(g). Find the common denominator of -67/8 and 4/(-24)*h/(-2).
8
Let d be 2 - 3/((-6)/(-28)). Let q = -1615/6 - -283. What is the common denominator of (-3)/d - 302/88 and q?
66
Suppose 2*v + 19 = 3*l - 1, 5*v + 4*l + 4 = 0. What is the common denominator of (-46)/7 - v/(-14) and 145/6?
42
Suppose -2*o + o = -5*z - 10, 4*o = -z + 40. What is the lowest common multiple of 3 and o?
30
Let h = -9/21251 + 18191045/446271. Let v = h - 887/28. Calculate the common denominator of -13/16 and v.
48
Let a = -2/111 - -71/518. What is the common denominator of a and -49/3?
42
Suppose 0 = w + 6*w - 14. What is the lowest common multiple of 22 and w?
22
Let l = 21878603/14 - 1564795. Let g = -563 - 1473. Let x = g - l. Calculate the common denominator of -77/16 and x.
112
Suppose -5*h - 3*g + 35 = -7*g, h + 5*g + 22 = 0. Let r(o) = -3*o**3 - 4*o**2 + 3. Let d be r(h). Find the common denominator of 29/7 and 1 + -1 + d/21.
7
Suppose -3*h - 20 = 16. Find the common denominator of ((-202)/h)/((-28)/21) and -28/5.
40
Let g = 1083 - 21669/20. Let u be (9/(-897))/((-6)/4). Let v = u + 17023/2990. Find the common denominator of v and g.
20
Suppose -2*x + 8 = 4*u, 4*x + 0*u = -5*u + 16. Suppose i + 5*y = -i + 15, x*i - 3*y = 17. Suppose 5 + 2 = h. Calculate the lowest common multiple of i and h.
35
Let i = -44 - -77. Suppose 9 = -4*t + i. What is the least common multiple of 6 and t?
6
Let o be 50*1*-1*-1. Let m be ((-14)/4)/(o/8). Let g = 303/50 + m. Find the common denominator of g and -71/16.
16
Let l = -1 + 12. Let k = -18 + 29. Calculate the smallest common multiple of k and l.
11
Let x = 1396/3 + -2767/6. What is the common denominator of x and (-1)/3 + (-578)/(-96)?
48
Suppose g + 2*z = 38, -2*z - 110 = -3*g - 7*z. What is the least common multiple of 9 and g?
90
Let n = -28 - -36. Calculate the lowest common multiple of 2 and n.
8
Suppose -2*c + 0*c = -24. Let q = -12 - -39. Suppose -p - 2 + 9 = -r, 3*r = -p + q. Calculate the least common multiple of p and c.
12
Let y be (-3 + 2074/(-10))/6. Let w = 4733/120 + y. Calculate the common denominator of -17/2 and w.
8
Let o(m) = -15*m + 2. Calculate the least common multiple of o(-2) and 20.
160
Suppose -3*w + 36 = -3*r, 24 = -4*r + 2*r + 3*w. Calculate the common denominator of 0 - 0 - (-25)/r and 1/4 - (-99)/28.
84
Let j(b) = -3*b - 8. Let m(l) be the third derivative of l**4/24 - 7*l**3/3 - 2*l**2. What is the lowest common multiple of m(16) and j(-6)?
10
Let h be -2*(8397/2224)/(-3). Let f = 15/139 + h. Find the common denominator of -5/6 and f.
24
Suppose -3*y - 10 + 25 = 0. Let u(i) = i**3 - 5*i**2 + 1. Let q be u(y). Find the common denominator of -33/8 and (q/2)/((-2)/82).
8
Let g(u) = -u**2 + 9*u - 4. Let z be g(9). Calculate the least common multiple of 4/10 - 114/(-15) and (-84)/(-8) + 2/z.
40
Suppose -2*s + 0*f + 44 = 4*f, -5*s + 85 = 5*f. What is the lowest common multiple of s and (13 - 1)*5/3?
60
Suppose 3*p - 3*u = 15, -3*u - 1 + 4 = 3*p. Calculate the smallest common multiple of p and 30.
30
Let j = 247060/23 + -4462133/460. Let o = 1043 - j. Find the common denominator of o and (2/(-8))/(22/236).
220
Suppose -3 = -m + 3. Suppose -6*l - m = -4*l. Let p = 2 - l. What is the lowest common multiple of p and 7?
35
Let h(d) = -2*d**2 + 3*d - 6. Let u be h(6). What is the lowest common multiple of 5 and ((-4)/(-10))/((-4)/u)?
30
Let c(b) = -b + 27. Let x = -22 + 33. What is the smallest common multiple of 2 and c(x)?
16
Let y = 3059/5 + -615. Let o = 1222435/42 + -29102. Let k = 2/21 - o. Find the common denominator of k and y.
10
Calculate the common denominator of -35/16 and 4/6 - (-3208)/(-672).
112
Suppose 3*q - 5 = 1. What is the lowest common multiple of -2 + (14 - 3)*2 and q?
20
Let a(f) = -4*f**2 + 3*f. Let y be a(2). Let h be (-4)/(-14)*(-5965)/y. Let g = 172 - h. What is the common denominator of g and 13/11?
77
Let g = 15/59 - -2048/531. Calculate the common denominator of -127/18 and g.
18
Let n = -865/77 - -144/11. Calculate the common denominator of n and 17/7.
7
Find the common denominator of (-3)/1*(-3 - (-278)/102) and -16/5.
85
Let b(y) = 2*y - 4. Suppose -5*j = -j - 28. What is the lowest common multiple of b(j) and 4?
20
Let w = -370577150/586887 - 10/83841. Let s = w - -78937/126. Find the common denominator of 19/6 and s.
18
Suppose 4*t = -2*r + 38, 2*t - 4*t - 5*r + 7 = 0. Let s = -109 + 113. Calculate the smallest common multiple of s and t.
44
Let r = -146387/28 + 5231. Find the common denominator of r and 97/24.
168
Let q be (-3)/(-6)*(-2188594)/(-4). Let r = -271881 + q. Let u = r + -1671. Calculate the common denominator of u and 25/16.
16
Suppose 9 = l + 3. What is the least common multiple of l and 12?
12
Suppose -o + 3 = q, -4*q = o + q - 3. Let v = -2 - -2. Suppose -o*l + 32 + 16 = v. What is the smallest common multiple of 4 and l?
16
Let x = 30 + -42. Calculate the common denominator of -2 - (159/x - 3) and -34.
4
Let i(k) = -2*k - 2. What is the smallest common multiple of 5 and i(-6)?
10
Suppose 0 = w - 7*t + 5*t - 34, -2*w - 2*t = -74. What is the lowest common multiple of w and 24?
72
What is the common denominator of 1 + (-39)/(-9) - 0 and -67/6?
6
Let u be (-24)/4*(0 - -1). Let q be (u/(-9))/((-6)/9). What is the smallest common multiple of 6 and (q + 2)*(3 - 0)?
6
Let c = -10730/9 - -1194. What is the common denominator of c and (4/(-60))/((-4)/(-498))?
90
What is the least common multiple of 4 and (4/6)/(6/72)?
8
Let r = 157/2 + -97. Let b be 2/((-48)/(-54147)) + 2. Let x = b - 2249. Calculate the common denominator of r and x.
8
Suppose 4*f + 2*z - 38 = 0, -4*f + 55 = f + 5*z. Find the common denominator of f/20 + 274/(-110) and -119/10.
110
Let t be -1 + 0 + 18637/(-940). Let b = 18/235 + t. Find the common denominator of b and 373/8 + (-13)/104.
4
Let j = -119 - -951/8. Find the common deno