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Adjust rack to top position and preheat oven to 450 degrees. Wash and dry produce (except green beans).
Dice potatoes into 1⁄2-inch pieces.
Place potatoes in a medium pot with enough salted water to cover by 2 inches. Bring to a boil; cook until tender, 15-20 minutes. Reserve 1⁄2 cup potato cooking liquid (3⁄4 cup for 4 servings), then drain; return potatoes to pot.