1954 AHSME Problem 22

The expression \frac{2x^2-x}{(x+1)(x-2)}-\frac{4+x}{(x+1)(x-2)} cannot be evaluated for x=-1 or x=2, since division by zero is not allowed. For other values of x:

\begin{array}{l} \textbf{(A)}\ \text{The expression takes on many different values.}\\ \textbf{(B)}\ \text{The expression has only the value 2.}\\ \textbf{(C)}\ \text{The expression has only the value 1.}\\ \textbf{(D)}\ \text{The expression always has a value between }-1\text{ and }+2.\\ \textbf{(E)}\ \text{The expression has a value greater than 2 or less than }-1. \end{array}

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.