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Adjust rack to middle position (top and middle positions for 4 servings) and preheat oven to 425 degrees. Wash and dry produce.
Peel and dice sweet potatoes into ½-inch pieces.
Reserve 1 tsp maple syrup (2 tsp for 4) for sweet potatoes; pour remaining into a small bowl. Stir in a pinch of salt and chili flakes to taste. Set aside.
Cut broccoli florets into bite-size pieces if necessary. (Save sweet potatoes for another use.)