MathDB
Expression an Integer

Source:

April 6, 2013

Problem Statement

For how many positive integers mm is 2002m22\dfrac{2002}{m^2-2} a positive integer?
<spanclass=latexbold>(A)</span>one<spanclass=latexbold>(B)</span>two<spanclass=latexbold>(C)</span>three<spanclass=latexbold>(D)</span>four<spanclass=latexbold>(E)</span>more than four<span class='latex-bold'>(A) </span>\text{one}\qquad<span class='latex-bold'>(B) </span>\text{two}\qquad<span class='latex-bold'>(C) </span>\text{three}\qquad<span class='latex-bold'>(D) </span>\text{four}\qquad<span class='latex-bold'>(E) </span>\text{more than four}