In a slow cooker, combine the chuck roast, onion, carrots, garlic cloves, tomato paste, beef broth, red wine, salt, and pepper. Cook on the low setting for 4 hours.
3 pounds chuck roast, 1 onion, 3 carrots, 4 garlic cloves, 2 tablespoons tomato paste, 1 cup beef stock, 1 cup red wine