a: \(\left(-4\right)\cdot2\cdot6\cdot25\cdot\left(-7\right)\cdot5\)
\(=4\cdot25\cdot2\cdot5\cdot6\cdot7\)
\(=42\cdot100\cdot10=42000\)
b: \(\left(-32\right)\cdot125\cdot\left(-9\right)\cdot\left(-25\right)\)
\(=-32\cdot125\cdot9\cdot25\)
\(=-\left(125\cdot25\cdot32\right)\cdot9\)
\(=-9\cdot100000=-900000\)
c: \(47\cdot69-31\cdot\left(-47\right)\)
\(=47\cdot69+47\cdot31\)
\(=47\left(69+31\right)=47\cdot100=4700\)
d: \(\left(-56\right)+8\left(11+7\right)\)
\(=8\cdot\left(-7\right)+8\left(11+7\right)\)
\(=8\left(-7+11+7\right)=8\cdot11=88\)