Video: Obama addresses Romney remarks on Letterman

Obama: "If you want to be president, you have to work for everyone."

In an appearance on Late Show With David Letterman on Tuesday night, President Obama addresses Republican challenger Mitt Romney's recorded remarks released this week by Mother Jones magazine. Below is a clip from Obama's interview with Letterman in a video that was posted to YouTube by CBS.

Also in the interview, Obama and Letterman talk about the economy and the recent attacks and protests in the Middle East and elsewhere, according to The New York Times .

Watch the full episode of Late Show on CBS' site.