Certainly the thermostat is the first port of call, its located in the fitting that goes onto the back of the water pump, ie; follow the bottom hose up to the metal inlet housing, & there are 2 bolts you need to undo & the thermostat is in there ...
Also when did the problem occur, have you done some changes, ie; thick after market radiator or did it just happen. if its after some changes you might have to re-look at what you have done or fittted ...
To test the thermostat, visually look to see that the bracket etc holding the guts of it is not broken, if it looks ok you will need to immerse it in water & start to heat the water up, use your kitchen hotplate, you will need to put a thermometer in the water & keep an eye on the thermostat when it starts to open up, should start to open at the temp stamped on the thermostat, & open quite wide very soon after, if it looks sus buy a geniune one from toyota & even compare the two together in the water ...
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