The application required for incorporating as a Limited Liability Company (LLC) is called the Articles of Incorporation (also referred to as a Certificate of Incorporation). This document contains basic information about the company, its owners, and its directors. Depending on your state of incorporation, there may also be state-level fees or taxes that must be paid.
Where the equipment you use in your business was acquired as a gift, you may report your estimate of its current market value on the Business Property Statement (that is, what you think it would sell for in the open market place). Enter that estimated value in the most current year's cost line and add a note indicating that the entry is an estimate.