Press the tiny reset button located beside the chip and hold for 10 seconds. Depending on the brand and model of the cartridge, you may not need to hold the button for 10 seconds, but it won't harm the cartridge so do it anyway just to be safe.
I just changed all my cartridges with Staples replacement cartridges, & 2 days later the cyan says replace cartridge, No way this is ciorrect! What to do?