Preheat oven to 400°F. Place all vegetables except Brussels sprouts on a rimmed baking sheet (15 1/2 x 10 1/2 x 1-inch) and drizzle with olive oil. Add garlic, rosemary, thyme, salt and pepper; toss to coat. Roast in oven 15 minutes.
Add Brussels sprouts; stir and continue to roast until vegetables are tender and browned, about 30 minutes, stirring once. Adjust salt and pepper to taste.