Once you get the HM cut go to viridian city and go north there will be some trees you can cut down if you go past it and go north you will find a big building in there will be a scientist who will give you HM flash only if you have 10 Pokemon recorded in your pokedex.
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Flash, I believe.
Go to the rock tunnel in the east.
Now you can go through rock tunnel which is east of cerulean city.
HM 8 doesn't exist in Pokemon Fire Red or Leaf Green.
Yes you can. All HM items can be utilized numerous times.