Speedy Claims CMS 1500 Software is Fast, Easy & Accurate Speedy Claims became the top CMS 1500 Software by providing the best customer service imaginable to our thousands of clients all over America. For over a decade, we've asked medical professionals to suggest ways to make Speedy Claims even better than it already is. It is an important reason why more providers use Speedy Claims than any other CMS 1500 form-filling software available.