Problem:
Find the third order series of the inverse of the following function around 3:
$-64 x^3$
Answer:
$-\frac{5 (x-1728)^3}{139314069504}+\frac{(x-1728)^2}{8957952}+\frac{1728-x}{1728}-3$
{'source': 'AMPS', 'file': 'amps/mathematica/calculus/series_inverse/43735.txt'}