Answer: Somos; ocupados
Sentences: Nuestros nombres son Katz y Lloyd. Somos abogados ocupados.
Translation: Our names are Katz and Lloyd. We are busy lawyers.
Explanation: The main sentence has a possessive adjective for the first-person in the plural: "Nuestros", so the subordinated sentence must be also conjugated in the first-person in the plural: Nosotros somos.
In addition, the subject of this sentence is "abogados", which is a masculine and plural noun, so its adjective must agree on gender and number: ocupados.
Spymore