Heat a soup pot over medium heat. Add the ground beef and brown. Remove and drain the ground beef. Heat the oil in the pot over medium heat. Add the onions. Saute' until they are translucent, then add the garlic. Saute' just a couple more minutes, so the garlic does not taste raw. Add the tomatoes, ground beef, beef stock, and V8 juice. Bring to a simmer over medium-high heat. Add the mixed vegetables. Return to a simmer and let simmer over medium-low heat for 45 minutes.