I think your are talking about GFCI. They are a safety device that is required by the NEC for safety, for the prevention of lethal shocks. If one is installed in one outlet, other outlet down the line are protected. Unplug any applances downstream from the GCFI, the one with the test button and then try it. If it fails, then it could be bad or you could have a loose connection at that outlet or downstream. At the panel box, turn off the breaker, to remove power, to that branch. and remove each of the outlet in turn checking to see if the connections are secure and tight. If they are, I would replace the GFCI, available at any hardware store, about $10.00. Just connect the wire in the same order as the old one. HTH

DO NOT under any circumstances, get around the GFCI. The appliance could be causing it to trip. People have died thinking the GFCI was bad, pluggeing the appliance in another outlet, and getting a fatal shock.