During one of my PHP security sessions, I was asked about “calculation captchas”. These look like this:

and the Turing test (if you want to call it that) is solving the task in the picture.
But wait, isn’t it the main function of a computer to perform calculations? So how can this be "
Completely
Automatted
Public
Turing test to tell
Computers and
Humans
Apart?
Just for shits and giggles, I downloaded 100 of these little images from the site that I saw them on, and fired up gocr. I piped the results into bc and voilá:
18 - 8 = 10
13 - 5 = 8
13+4 = 17
13 - 5 = 8
16 - 2 = 14
19 - 3 = 16
11 - 3 = 8
13 - 5 = 8
13+2 = 15
14+4 = 18
15 - 4 = 11
10 - 4 = 6
11+1 = 12
10 - 2 = 8
82% of CAPTCHAs solved on the first try, with plain (untrained) gocr and a one-line shell script.
for i in *;
do
calculation=`gocr $i | sed -e ‘s/=//’ -e ‘s/\?//’`;
solution=`echo $calculation|bc`;
echo $calculation “=” $solution;
done