25-[5-1x24]-14 =32-[5-24]-14=32-[-19]-14=51-14=37
\(2^2\times2^3-\left(5^5:5^4-2010^0\times24\right)-14=2^{2+3}-\left(5^{5-4}-2010^0\times24\right)-14\)
\(=2^5-\left(5^1-1\times24\right)-14\)
\(=32-\left(5-24\right)-14\)
\(=32-\left(-19\right)-14\)
\(=32+19-14=37\)