As the guy above me said, the quotes alone will not flag panda its the overall page content.
If you just had some quotes and a few ads on the site with a not so unique site design, then there is a high amount of duplication.
If the site was constructed with a lot more content and offers a good user experience then this is literally curating the best quotes from the web and providing user value. This should pass the panda test.
add more value and dilute the copied quotes with unique content, images, videos, relevant stuff.