Did you try going into Mounts and Storage and making sure each one was mounted manually? You can also format these partitions individually from this place as well, just don't mount and format /system... that would be bad.
Also note that the filesystem isn't likely corrupt, the more correct term would be the partition table is corrupt if it can't mount them. If this is the case it is probably time to get a replacement, the only way to fix it would be with a full ROM image flash, and we really don't have one.
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