Captcha Challenge: write code that allows a robot to solve this puzzle

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No robots can resolve this captcha, prove me wrong.

REST API

Parsing HTML can be boring, here is the REST API.

GET /api/challenge

The server gives a challenge, and a secret (the crypted response).

{ "challenge": "seven + sixteen", "secret": "gAAAAABo3UlwKjJ9nZDynItpjxCnJDy4-VmIVOmqLbr2jOexjYFLtOK9dmte3VtF9p19SRjdYHFLZWabYEmRgqy80Gl507xtKw==" } POST /api/response

POST your response with the previous secret. The server answers true or false.

{ "response": 23, "secret":"gAAAAABo3UlwKjJ9nZDynItpjxCnJDy4-VmIVOmqLbr2jOexjYFLtOK9dmte3VtF9p19SRjdYHFLZWabYEmRgqy80Gl507xtKw==" }