What is the coefficient of x^6 in the expansion of (2x^2 - 1/x)^6?
Expanding we get \(64 x^{12} - 192 x^9 + 240 x^6 + 1/{x^6} - 160 x^3 - 12/x^3 + 60 \), so the answer is \(\boxed{240}\).