Secretary of State: http://soswy.state.wy.us/Business/Business.aspx

Contact info:

Phone: (307) 777-7311
Fax: (307) 777-5339
E-mail: corporations@state.wy.us

Physical Address:

Corporations Division
Wyoming Secretary of State’s Office
The Capitol Building; Room 110
200 West 24th Street
Cheyenne, WY 82002-0020

Name search: https://wyobiz.wy.gov/Business/FilingSearch.aspx 
LLC and Corp forms: http://soswy.state.wy.us/Forms/
Filing fees: http://soswy.state.wy.us/Business/docs/BusinessFees.pdf
Department of Revenue: http://revenue.state.wy.us/
Department of licensing: http://www.wyomingbusiness.org/business/permitting.aspx