Problem:
Find the laplacian of the function $f(x,y,z)$ where $f(x,y,z) = \tan ^{-1}\left(x^4+y+z\right)$
Answer:
$-\frac{32 x^6 \left(x^4+y+z\right)}{\left(\left(x^4+y+z\right)^2+1\right)^2}+\frac{12 x^2}{\left(x^4+y+z\right)^2+1}-\frac{4 \left(x^4+y+z\right)}{\left(\left(x^4+y+z\right)^2+1\right)^2}$
{'source': 'AMPS', 'file': 'amps/mathematica/calculus/laplacian/22602.txt'}