The installation or configuration of CURL has problems.
I've put the exact same page up at: http://www.webassist.com/curltest.php
Compare that to the exact same page on your site: http://www.nextperia.com/curltest.php
There is clearly a problem with the curl installation on your server. Please show that to your hosting company. If they won't help you I'd suggest finding another hosting company.
Who do you host with? They shouldn't be giving you the run around.