z.
440
Let c be (-1 - (-4)/5) + (-392)/40. Calculate the common denominator of -55/16 and (545/c - 1)/(-18).
48
Calculate the common denominator of (-16)/27088*46/(-6) and -22/21.
35553
Let q(r) = 558*r**2 - 280*r**2 + 26*r - 90 + r**3 - 300*r**2. Calculate the smallest common multiple of 10 and q(21).
30
Suppose -d + 6495 + 14669 = 0. Let i = d - 507865/24. Find the common denominator of i and 67/12.
24
Let a(i) = i**3 - 3*i**3 - 4 + 18*i**2 + 20 + 3*i**3 + 56*i. Calculate the least common multiple of a(-14) and 26.
208
Let d = -55 - -58. Suppose 0*a - 26 = -3*a - 2*j, 3*j = d. Calculate the common denominator of -127/12 and 50/a*13/10.
24
Let a = 860 + -7720/9. Suppose -1 = -p + 3*r, 5*p - 2*r - 2*r = -17. Calculate the common denominator of a and (((-150)/(-20))/p)/(21/20).
63
Let y = 37934/9 - 4220. Let h = 4314 - 112269/26. Let i = 321/104 - h. What is the common denominator of i and y?
72
Let u = -61565/16 - -3851. Find the common denominator of u and (-246)/(-12464)*3*824/(-36).
304
Suppose 30 = 14*q - 4*q. Let o be q/((-216)/(-87))*(0 + -3963). Let p = o - -4782. Calculate the common denominator of p and 35/11.
88
Let u = 193910/66649 - 2/6059. Calculate the common denominator of u and -38/2521.
27731
Let p(w) = 9*w + 59. Let m be p(-6). Find the common denominator of (-1)/m + 33605/(-6600) and 59/12.
24
Let u = -482323/82686 - 2/13781. What is the common denominator of 73/270 and u?
270
Let j(a) be the third derivative of a**5/60 + 11*a**4/24 + 11*a**3/3 + 20*a**2. Let o be j(-10). What is the common denominator of (-226)/34 + 60/o and -59/4?
68
Suppose -2*s = -4*s, 4*b + 2*s - 24 = 0. Suppose -7*d = -b*d - 245. What is the common denominator of 31/2 and (d/50)/(1 - -1)?
20
Let h be 1/4 + 144/(-64). Let m be (-44)/(-12) - h/(-3). What is the lowest common multiple of 14 and (20/m)/(7/21)?
140
What is the common denominator of (-273)/35 - -7 - (-121516)/153120 and 53/6?
7656
Suppose -65*q - 2*x = -62*q - 4, 2*x = -4*q + 10. What is the least common multiple of q and 270?
270
Let o(q) = 27*q**2 - q + 3. Let w be o(4). Suppose 0 = -4*b + c - 291, 5*c = 5*b + w - 56. Calculate the common denominator of 13/5 and (32/b)/((-42)/(-45)).
105
Find the common denominator of (-9920)/32000*3/(-2) and 38/125.
1000
What is the smallest common multiple of (-13)/(117/(-18))*1616 and 8?
3232
Let u(k) = -3*k**3 + k**2 + 7. Let s be u(-4). Let n = -158 + s. Calculate the smallest common multiple of n and 12.
228
Suppose 0 = -11*n - 9*n + 22*n. Suppose n = 6*b + 2*b + 128. Let x(i) = -i - 12. What is the smallest common multiple of 34 and x(b)?
68
Let c(y) = -y**2 - 6*y + 100. Let t be (13/(-2))/(5 - 63/14). Suppose -5*z + 34 = n, -2*z - n + 13 = -3. Calculate the smallest common multiple of z and c(t).
18
Let i(n) = n + 3. Suppose 25*u = 31*u - 30. Suppose x + 5*p = -u, -5*p = x - p + 4. What is the smallest common multiple of 4 and i(x)?
12
Let w = 615 + -617. Calculate the common denominator of (-89)/2*(-3)/(-27) and (1 - 202/84) + w/(-6).
126
Suppose -32*s - 42 = -33*s. Suppose -w + 5*z + 74 = 0, 5*w = -4*z + 183 + s. Calculate the common denominator of w and 65/9.
9
Let n(q) = 12*q**2 + 3*q - 3. Suppose 0 = -f + 47 + 31. Let b = -77 + f. What is the least common multiple of n(b) and 36?
36
Let a = 16 + -10. Suppose -3*q + 5*q = -5*c - a, -c - 2*q + 2 = 0. What is the common denominator of ((-69)/10 - c)/1 and -62/3?
30
Let y be -6 + 1/(5/1180). Let k = y - 202. What is the smallest common multiple of 20 and k?
140
Suppose 5*m - 2697 = -i - 388, -6*m - 2*i = -2770. Calculate the smallest common multiple of 14 and m.
462
Let c = 365/7 - 53. Let o = -689204/141 + 4888. Let r = 653/1833 + o. Calculate the common denominator of r and c.
91
Let x(r) = -4*r**2 - 8*r - 28. Let m be x(-7). Let n = -156 - m. Calculate the least common multiple of n and 48.
48
Let x(o) = -14*o - 130. Let t be x(-19). Find the common denominator of -105/88 and ((-2)/(-50))/(t/20230).
440
Let f be 5/((-165)/6) + 1881/363. Suppose -40 = -f*q + 5*m, 55*q - 50*q = m + 48. Calculate the lowest common multiple of q and 129.
1290
Let d(y) = y**2 + 183*y - 5702. What is the lowest common multiple of d(31) and 32?
7456
Calculate the least common multiple of (2 + 65/(-25) - (-52)/(-5))*-87 and 66.
1914
Let t = 329019 - 166483703/506. Find the common denominator of -5/736 and t.
8096
Suppose 1061*w - 147696 = 1044*w. Calculate the smallest common multiple of 44 and w.
95568
Suppose 5*d = 67 - 2. Suppose 0 = 6*y - d*y - 7595. Find the common denominator of 53/9 and (-6)/((-1980)/y)*4/(-7).
99
Let x(s) be the first derivative of -2*s**3/3 - 11*s**2 - 14*s + 23. Let o be x(-10). Calculate the common denominator of 127/24 and (1 - 8/o) + 87/(-12).
24
Suppose 36*x + 20264 = 53*x. Suppose 0 = g + g + 384. Calculate the common denominator of x/g - (-1)/3 and 79/6.
24
Let k(h) = 357*h - 3189. Calculate the least common multiple of k(9) and 9336.
9336
Let b = -6879851/10380 - -9943/15. What is the common denominator of 13/3806 and b?
7612
Suppose t - 7 + 6 = 0, -z + 20 = 5*t. Calculate the smallest common multiple of 315 and z.
315
Suppose 11854 = 2*p - 2638. Let c be p/(-77) + (-32)/(-112). Let g = c - -12043/132. What is the common denominator of 25/4 and g?
12
Calculate the common denominator of (2 - (-521)/(-260))/((-55460)/91450) and 19/40.
24440
Suppose -339 - 1581 = -96*y. Let n = -241 - -661. What is the lowest common multiple of n and y?
420
Calculate the smallest common multiple of (9 + -4)*2*(-4 + 8) and 452/9 - 4/18.
200
Suppose -24*z + 25*z - 879 = -b, -2652 = -3*z + 2*b. Calculate the lowest common multiple of 42 and z.
882
Suppose -5*n + 512 = -403. Suppose -n = 2*z - 193. Calculate the smallest common multiple of z and 2.
10
Let y = -19459/141 + 138. What is the common denominator of y and (18/12 + -1)/(-8 - (-545)/70)?
141
What is the common denominator of 5 - (6144/(-680))/(-2) and -53/3?
255
Calculate the smallest common multiple of 627 and -6*(28834/(-92) - 46/529).
1881
Let c = -25808/12705 + 1/363. Calculate the common denominator of c and 21/18 + (32/(-10) - -4).
210
Suppose -6*i = -8*i + 98. Suppose 53 - 11 = 2*g. Calculate the lowest common multiple of g and i.
147
Let p be 3*(-10)/(-165) + (-524)/(-22). Suppose -57*i = -55*i - p. What is the lowest common multiple of i and 4?
12
Let m(k) = -2*k**2 + 42*k + 8. Let o be m(22). What is the lowest common multiple of 44 and (-8)/o - (-3940)/90?
44
Let v(p) = 9*p**2 + 26*p + 154. Let z(u) = 2*u**2 - u + 1. Let x(b) = v(b) - 4*z(b). What is the smallest common multiple of 5 and x(-6)?
30
Let b = -652829/32 + 20399. Let f = 60337 + -5792453/96. What is the common denominator of b and f?
96
Let q be 4/(-5*(4 - (-888)/(-220))). Suppose 5*p + 12 = 3*v + 49, q = 2*p - 3*v. What is the smallest common multiple of ((-15)/9)/((-3)/9) and p?
5
What is the common denominator of 3/91 and ((-276)/(-1794) + 2024/(-13195))*10?
2639
Suppose 147*w - 108*w - 27525 = 28713. Calculate the lowest common multiple of w and 515.
7210
Suppose 2*j - 3*j + 16 = -z, 0 = -3*j. Let g = -19 - z. Find the common denominator of 63/4 and (-207)/24 - g/(-1).
8
Let f = 489 - -1113. Calculate the smallest common multiple of 8 and f.
6408
Let y = -10869 - -12929. Calculate the smallest common multiple of y and 309.
6180
Let v be 5*(-3)/(-5)*-2. Suppose -4*w + 52 = -4*d, 11 = 5*d + 21. Calculate the least common multiple of 8/(-12) + (-70)/v and w.
11
What is the common denominator of 103/792 and 3686/(-1056) - (-364)/104?
1584
Let w = -2047/1760 - -76/55. Let g = 88399/12 + -7378. What is the common denominator of g and w?
96
Let z = -843935653/120194966880 + -2/9274303. Find the common denominator of -47/5 and z.
12960
Let k = -49807/6006 + 2101/182. Let o = -41/42 - k. Find the common denominator of o and 127/130.
1430
Let p be ((-160086)/10170)/(-1) + 5/(-1). Let l = 20/339 + p. Calculate the common denominator of -49/432 and l.
2160
Let q = -770 + 727. Suppose 0*v - 35 = v. Let l = v - q. What is the lowest common multiple of l and 26?
104
Let q(m) = 12*m - 160. Let l be q(13). What is the common denominator of 142/6 - (1 + 0) and l/(-30)*((-207)/(-18) + -5)?
15
Suppose -4*b + 2*b = -48. What is the lowest common multiple of 48 and (308/16)/7*b?
528
Let a b