\(\frac{1004}{2007}.\frac{-5}{4}+1004.\frac{-1}{4}-\frac{1004}{2007}.\frac{1}{2}\)
\(=\frac{1004}{2007}.\left(-\frac{5}{4}-\frac{1}{2}\right)+1004.\frac{-1}{4}\)
\(=1004.\frac{1}{2007}.\frac{-7}{4}+1004.\frac{-1}{4}\)
\(=1004.\left(-\frac{7}{8028}+\frac{-1}{4}\right)=1004.\frac{-1007}{2014}=-502\)