What is the OS? Is ID patched to the 7.0.4 update?
My OS is 10.7.5, not sure about the ID patch? Where do I find that?
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You can check to see if there are any available updates from the Help menu, and you can check the current version by holding down the Cmd key while you choose About InDesing from the InDesign menu.
You can post a crash report on pastebin.com and put a link here (DO NOT post the report in the forum). We might get a clue about the cause of the crash. You can also see Adobe Forums: InDesign CS5.5 Not Responding for instructions on getting a hang report and converting the hang to a crash.