Place the beef in a skillet over medium heat. Mix in garlic, onion, and green bell pepper. Cook and stir until beef is evenly brown and vegetables are tender. Drain grease, and transfer to a slow cooker.
Mix celery, Italian-style stewed tomatoes, and mixed vegetables into the slow cooker. Pour in beef broth, soy sauce, and Worcestershire sauce. Season with paprika, salt, and pepper.
Cover, and cook 7 hours on High. Mix pasta into the slow cooker during the last 15 minutes of cook time.