Would you mind sharing the Cloudflare ray id displayed at the bottom of the screen when you see a captcha? I can look into it, and maybe be I will able to fix it too. Reply here or email me at webmaster@cyberciti.biz. HTH.
Not sure if you changed your Cloudflare settings, or if Cloudflare changed something, but I'm no longer getting the captcha, so that's good, but sadly I can't help debug the original issue.