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Adjust rack to top position and preheat oven to 425 degrees. Wash and dry all produce.
Dice potatoes into ½-inch pieces. Trim and halve Brussels sprouts lengthwise. Halve, peel, and mince shallot until you have 2 TBSP (3 TBSP for 4 servings). Strip rosemary leaves from stems; mince leaves until you have 1 tsp (2 tsp for 4). Peel and mince or grate garlic.