Cooperative (aguda shitufit, אגודה שיתופית) – entity which may pursue profit, but with certain legal properties meant to facilitate greater participation by each shareholder, or member, in the entity's affairs. Shareholders usually have an additional relationship with the cooperative, such as employees or consumers. This type of entity is found mainly in agriculture (a kibbutz or moshav is often a cooperative), transportation, or certain types of marketing operations associated with agricultural products. Cooperatives are governed by the Cooperatives Ordinance (פקודת האגודות השיתופיות).
Idaho "corporation", "incorporated", "company", "limited", or the abbreviation "corp.", "inc.", "co.", or "ltd.", or words or abbreviations of like import in another language; provided however, that if the word "company" or its abbreviation is used it shall not be immediately preceded by the word "and" or by an abbreviation of or symbol representing the word "and" § 30-1-401 Idaho Statutes
On the other hand, if you are not responsible for its tax, then you should declare the equipment in Part III of the Business Property Statement (Equipment belonging to others). Where equipment is declared in Part III of the Business Property Statement, the Assessor will also send a Notice to File to the person reported as the equipment's actual owner.