1 (4-pound) chicken, halved or quartered
1 clove garlic, mashed and minced
1 tablespoon unsalted butter
1 pinch freshly ground black pepper
For the Vegetables:
1 1/2 to 2 pounds potatoes, cut into 1-inch chunks
4 to 6 carrots, cut into 2-inch pieces, halved, or quartered crosswise if very thick
3 to 4 stalks celery, cut into 2-inch pieces
2 tablespoons extra-virgin olive oil
3 cloves garlic, mashed and minced
Salt, to taste
Freshly ground black pepper, to taste
1 cup chicken broth