In a large saucepan over medium heat, brown the meat, garlic and spices in the oil. Add the carrots, celery, leek, onion and squash. Soften the vegetables, 3 to 4 minutes.
Add the broth, potatoes and sweet potato. Bring to a boil. Cover, reduce the heat and simmer until the meat is tender, about 35 to 40 minutes.