Heat oven to 450° F. Cook the pasta according to the package directions. Reserve ¼ cup of the cooking water; drain the pasta and return it to the pot.
Meanwhile, on a rimmed baking sheet, toss the broccoli, bell pepper, and garlic with the oil and ¼ teaspoon each salt and black pepper. Roast until tender, 15 to 20 minutes. Toss with the pasta, almonds, Feta, and the cooking water.
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