Orange engine light comes stays on - 2005 Toyota Corolla

This is a warning Light, Its probably a emmisions related concern. The light comes on because the on board computer has detected a concern with the powertrain management of the vehicle. You need to have it put on a OBD2 scanner to have the fault codes pulled so it can be determined what the next step needs to be. If you are strapped for cash and cant take it to your local mechanic, stop by the local Advance/Autozone and they usually will come out and pull the codes for you for free... That will at least get you headed in the right direction.
There is no way without an OBD2 scanner of some sort to pull the codes.
Hope this helps
Sincerely
Roger