
Let s be 70337/(-770) + (-10)/25. Let b = 619/7 + s. Find the common denominator of -77/8 and b.
88
What is the common denominator of ((-1)/4 + 1)*(-915)/45 and -97/12?
12
Suppose -2 = 3*i - 11. Find the common denominator of -178*i/(-24)*1 and -15/22.
44
Suppose 2*x - 8 = -0. Let i(l) = 18*l - 12. Let w(d) = 6*d - 4. Let a(r) = -2*i(r) + 7*w(r). Calculate the lowest common multiple of a(x) and 14.
140
What is the common denominator of -87/2 and 1/2 - (-52 - 6/(-2))?
2
Let u = -47841/20 + 2391. Let k = -538 - -6479/12. Find the common denominator of k and u.
60
Let a be ((-1)/807)/(2/(-12)). Let n = a + -30433/4842. Calculate the common denominator of n and 5/16.
144
Let l = -34220/49 + 9377474/13475. Let y = -93/50 - l. Calculate the common denominator of y and -55/14.
154
Let a(t) be the second derivative of t**5/20 + 7*t**4/12 + t**3/2 - 4*t**2 - 3*t. Calculate the lowest common multiple of a(-6) and 16.
80
Suppose 4*x - x = 5*t - 23, t = -4*x. Let n be (-6)/4*8/(-6). Suppose -2*w - 3*c = -56, -2*w + n*c + 52 = t*c. Calculate the lowest common multiple of 2 and w.
22
What is the common denominator of 2 + (-475)/10 - 4 and -47/11?
22
Suppose -5*m + 22 = 2*c, -2*m + 10 = c + c. Suppose 3 = 3*x - 0. What is the lowest common multiple of m and x?
4
What is the common denominator of (-178)/6*4/(-80)*6 and 91/2?
10
Find the common denominator of (6/70)/((-2)/(-45)) and 63/16.
112
Suppose 6 = -2*b + 4*a, -5*b + 25 = 2*a - 20. Let d(w) = w**2 - 4*w - 11. What is the lowest common multiple of d(b) and 8?
40
Let c = -50 - -60. What is the lowest common multiple of c and 1?
10
Suppose 0 = 4*d - 0*d - 12, -3*d - 81 = -5*r. Suppose 0 = 9*c - 22*c + 182. What is the least common multiple of r and c?
126
Let t be (154/28)/(3/(-254)). Let x = 472 + t. What is the common denominator of x and -42?
3
Let l = -7949/1728 - -128/27. Find the common denominator of l and 61/16.
64
Let r = 1 - -2. Let k(i) = -i**2 - 3*i + 3. Calculate the smallest common multiple of r and k(-3).
3
Let f = -15340 - -2070886/135. Let s = -3881/540 - f. What is the common denominator of 45/2 and s?
12
Let v be (16/(-1 + 3))/2. Suppose -v*m + 5 = -7. Suppose -5*j + 4*q = -0*j - 31, -4*j + 28 = -4*q. Calculate the smallest common multiple of j and m.
3
Calculate the smallest common multiple of 4/5 - (-24)/20 and 12.
12
Suppose -5 = -2*h + 23. Suppose h = j - 4. What is the common denominator of -33/5 and (-1)/(j/(-124)) + -3?
45
Let v = -83103/2 + 39236. Let z(c) = 569*c - 3. Let k be z(4). Let d = k + v. Find the common denominator of d and -37/8.
8
What is the least common multiple of 1 and (-1)/(-5)*(6 - -49)?
11
Suppose m + 96 = 13*m. Calculate the least common multiple of 1 and m.
8
Let x(m) = -m**3 - 6*m**2 - 7*m. Suppose 2*b - 5 = 3*b. Suppose -5*k - 3 + 43 = 0. Calculate the least common multiple of k and x(b).
40
Let m = 3923916/852053 - 502/109. Let n = -48818424784/11 + 2671295381628166/601909. Let l = m - n. What is the common denominator of l and 113/6?
42
Let w = -6 + 9. What is the lowest common multiple of 6 and w?
6
Suppose 4*j - 3*j - 20 = -a, 88 = 5*a + 2*j. Let t = 20 + -8. What is the least common multiple of a and t?
48
Let r(o) = -o**3 - 3*o**2 - 2*o + 1. Let i be r(-2). What is the lowest common multiple of (1 - 2)/(i/(-22)) and 10?
110
Let s = -133/5 - -2493/80. Let h = -147/2 + 57. Calculate the common denominator of s and h.
16
Suppose 2*h = -h + 138. Let u = -24 + h. What is the common denominator of 16/u*(-5 + -1) and -45/2?
22
Let k = 5 - 5. Suppose -16 = -k*o - o. Calculate the least common multiple of o and 8.
16
Let a(f) = 0*f**2 - 2 - f**2 + 8*f + 4 + 9. Suppose 3*h + 3*k - 45 = 0, 5*k + 9 = -3*h + 5*h. Calculate the lowest common multiple of a(9) and h.
12
Let v(t) = -t**3 + 5*t**2 - 2*t + 2. Suppose 4*o - 3*o - 30 = -4*u, 2*o - 5*u + 5 = 0. Calculate the lowest common multiple of v(4) and o.
10
Let m(l) = l**2 - 8*l + 6. Let p be m(6). Calculate the smallest common multiple of p/4*(-8)/3 and -6*((-80)/15)/8.
4
Let s be ((-12)/(-12))/(4768/5). Let g = 165703/14304 - s. Calculate the common denominator of 145/12 and g.
12
Let u = 7 - 3. Suppose 27 = 3*n - 0*l + 5*l, -4*n + 7 = -3*l. Calculate the least common multiple of u and n.
4
Suppose -r = m - 0*r + 105, -m - 3*r = 107. Calculate the common denominator of -4 + 3 + (-37)/10 and (-6)/(-22)*m/6.
110
Let c = -2145/8 - -267. What is the common denominator of c and 110*(-1)/(-16)*-2 + -3?
8
Let t(s) = s**2 - 13*s + 2. Calculate the smallest common multiple of 10 and t(13).
10
Calculate the common denominator of ((-46)/(-44))/((-14)/56) and -33/2.
22
Let o = -5341/388 + 3/194. Calculate the common denominator of o and 20.
4
Let g be 26/4*(-1185)/6. Let l = -1262 - g. What is the common denominator of 41/3 and l?
12
Let z be (-7)/(-3)*6585/9. Let n = z - 1709. What is the common denominator of 89/2 and n?
18
Let i be 18*2*(-3)/(-18). What is the least common multiple of 4 and 2/i*3/1?
4
Let a(m) = 127*m - 1. Let t be a(-8). Let h = 4089/4 + t. Find the common denominator of h and 227/45 - 2/(-5).
36
Let v(t) = t**2 - 11*t - 2. Let d(u) = 9*u**2 - u. Calculate the smallest common multiple of v(12) and d(1).
40
Suppose 0 = 2*n - 6, 3*v + 4*n - 3*n = 48. What is the least common multiple of v and 33?
165
Calculate the common denominator of ((-166)/10)/((-12)/10) and (105/(-25) - -2) + 3/1.
30
Suppose 21 = 4*o + 4*g + 65, -4*g - 20 = o. Let x = o - -3. What is the common denominator of -8 and 50/x*4/3?
3
Let b be (2/3)/((-6)/(-207)). Let f = b - 5. Calculate the lowest common multiple of (-18)/(-24) - 85/(-4) and f.
198
Suppose -3*b = -2*j + 3*j - 325, -5*b = 4*j - 544. Calculate the smallest common multiple of b and 6.
108
Let c(g) = -g - 18. What is the smallest common multiple of c(-22) and 2?
4
Let i = 31 + -17. What is the common denominator of -3 - i/(-8) - 1 and -55/6?
12
Let c = -161/4 + -21/4. Let k = c + 50. Let h = 5580 - 44715/8. Calculate the common denominator of k and h.
8
Let c = -184 - -43. What is the lowest common multiple of c/(-7) + (-6)/42 and 8?
40
Let o be 24/14 + 4/14. Let w = 3 + -3. Suppose -a + 3*z + 8 = w, z + 1 = o. Calculate the lowest common multiple of a and 6.
66
Suppose -4*i + 2*i = 2*t - 20, 2*t - 29 = -3*i. Let c(f) = 27*f**3 - f**2 - f. Let m be c(-1). Calculate the common denominator of -67/18 and i/12*(-69)/m.
36
Suppose 4*w - 12 = -2*p, -15 = -0*p - 4*p + w. Suppose -208 = -p*f - 0. Calculate the common denominator of f/(-48)*42/8 and -41/4.
16
Find the common denominator of (195/54)/5*1 and 25/6.
18
Let p(x) = -x**3 + 6*x**2 - 3*x - 1. Let m be p(4). Let y = -11 - m. What is the common denominator of 41 and 4/10 - 478/y?
3
Let k = 8 - 6. Suppose 0 = 5*c - k*r - 0*r + 3221, -c = -r + 643. What is the common denominator of 107/22 and 0 + (c/42)/(-5)?
154
Suppose 4*b + 4*g - 40 = 0, 0*b + 3*g + 12 = 4*b. Calculate the lowest common multiple of 14 and b.
42
Let l = 296 + -82. Find the common denominator of 0 + -1 + l/(-12) and (2 - (-442)/4)/6.
12
Suppose -5*l + 2*i + 405 = -2*i, 3*i = -15. What is the common denominator of ((-1221)/l)/(20/(-14)) and -117/10?
10
Let k = 64 + -50. Calculate the smallest common multiple of 14 and k.
14
Suppose 5*g = g + 64. Let z(s) = -3*s - 3. Let q(i) = -4*i - 3. Let r(o) = -2*q(o) + 3*z(o). What is the least common multiple of r(-5) and g?
16
Let q be (1 - 1 - 3) + -3. Find the common denominator of (q/(-40))/(72/40) and 6/10*(-95)/(-2).
12
Let i be -3*((-4)/6 - -1). Calculate the least common multiple of 18 - (i + (3 - 0)) and 2.
16
Let z = -1022625/973 + 1051. Let l = 237/292336 + -2564062717/1422214640. Let d = z - l. Find the common denominator of d and 57/7.
35
Suppose -2*c + 5*c - 24 = 0. Let q(o) = o**3 + 7*o**2 + 5*o. Calculate the least common multiple of q(-6) and c.
24
Let z = 188 - 22. Find the common denominator of 151/12 and ((-4)/8)/(18/z).
36
Find the common denominator of -93/10 and (41 - 16)*6/290.
290
Find the common denominator of 28/(-5) + 45/(-30) and 13/25.
50
What is the least common multiple of 42/(-9)*9/(-6) and 5?
35
What is the common denominator of -45/4 and ((-376)/(-288))/((-2)/6)?
12
Suppose 2*n + 28 = 56. Calculate the smallest common multiple of n and 8.
56
Let g(o) = -o**3 - 5*o**2 + 5*o + 2. Let q