Preheat oven to 400 degrees F. Cut off the brown ends of the Brussels sprouts and pull off any yellow outer leaves. Mix them in a bowl with the olive oil, salt and pepper.

Liberally season the prime rib with the salt and some pepper and refrigerate overnight. An hour before cooking, remove the roast from the refrigerator to allow it to come to room temperature.

Preheat the oven to 400 degrees F. If the carrots are thick, cut them in half lengthwise; if not, leave whole. Slice the carrots diagonally in 1 1/2-inch-thick slices.

Place the onions, carrots, and fennel in a roasting pan. Toss with salt, pepper, 20 sprigs of thyme, and olive oil. Spread around the bottom of the roasting pan and place the chicken on top.

Preheat the oven to 350 degrees F. Arrange 3 oven racks evenly spaced in the oven. Lay each kale leaf on a board and, with a small sharp knife, cut out the hard stem.

Preheat the oven to 400 degrees F. Toss the tomatoes lightly with olive oil on a sheet pan. Spread them out into one layer and sprinkle generously with kosher salt and pepper.