Problem:
Find the laplacian of the function $f(x,y,z)$ where $f(x,y,z) = \sqrt{\frac{x^3}{y}}$
Answer:
$-\frac{x^6}{4 y^4 \left(\frac{x^3}{y}\right)^{3/2}}-\frac{9 x^4}{4 y^2 \left(\frac{x^3}{y}\right)^{3/2}}+\frac{x^3}{y^3 \sqrt{\frac{x^3}{y}}}+\frac{3 x}{y \sqrt{\frac{x^3}{y}}}$
{'source': 'AMPS', 'file': 'amps/mathematica/calculus/laplacian/34041.txt'}