Add all soup ingredients—tomatoes through black pepper—to the bowl of a large slow cooker. Cook for at least 4 hours on high or 6 hours on low, until the veggies are fork tender.
2 large (28 ounce) cans whole peeled tomatoes, 4 large whole carrots, 1 large sweet onion, 2 ribs celery, 2 Tablespoons tomato paste, 1 cup low-sodium chicken stock, 4 Tablespoons butter, 4-5 cloves garlic, 2 teaspoons kosher salt, 1 teaspoon dried thyme, 1/2 teaspoon black pepper