I'm not sure what Captcha you believe you had set up, but both forms show the "maths" type questions, not the distorted image "enter the code" or Google Recaptcha type.
The first form currently shows a question "the third number in the sequence is......?"
The second form is currently asking "what is [such and such a number] in figures.....?".
if you're trying to use something like Recaptcha or the "enter the code" one, you might need to enable a PHP extension on your server "GD2" or something like that. It's something your host, or Appnitro would need to check.
Has the issue been resolved?