You have to find out the value of 'a'.
Post back your answer, where ans = a
a+78x51=300
Don't forget to change the CURLOPT_COOKIE option value to your own cookie.
<?php
$curl = curl_init();
curl_setopt($curl, CURLOPT_URL,"http://www.hellboundhackers.org/challenges/timed/timed8/index.php");
curl_setopt($curl, CURLOPT_RETURNTRANSFER, 1);
curl_setopt($curl, CURLOPT_FOLLOWLOCATION, 1);
curl_setopt($curl, CURLOPT_VERBOSE, 1);
curl_setopt($curl, CURLOPT_COOKIE,"fusion_user=20837.xxxxxxxxxxxxxxxx; PHPSESSID=xxxxxxxxx;");
curl_setopt($curl, CURLOPT_USERAGENT, "Mozilla/5.0 (X11; U; Linux i686; it; rv:1.8.1.5) Gecko/20070713 Firefox/2.0.0.5");
$result = curl_exec($curl);
curl_close($curl);
//where ans = a
a+62x78=271
preg_match_all('/a\+[0-9]+x[0-9]+=[0-9]+/',$result,$aMatch);
// sum without +a
$sSum = substr($aMatch[0][0],2);
// break sum up in parts
$aSum = explode("=",$sSum);
// break apart multiplification factor
$aMulti = explode("x",$aSum[0]);
// determine a var
$iNumber = $aSum[1] - ($aMulti[0] * $aMulti[1]);
$curl1 = curl_init();
curl_setopt($curl1, CURLOPT_URL,"http://www.hellboundhackers.org/challenges/timed/timed8/index.php");
curl_setopt($curl1, CURLOPT_POST, 1);
curl_setopt($curl1, CURLOPT_POSTFIELDS, "ans=".$iNumber);
curl_setopt($curl1, CURLOPT_RETURNTRANSFER, 1);
curl_setopt($curl1, CURLOPT_FOLLOWLOCATION, 1);
curl_setopt($curl1, CURLOPT_COOKIE,"fusion_user=20837.xxxxxxxxxxxxxxxxxxxxx; PHPSESSID=xxxxxxxxxxxxxxxxxxxxx;");
curl_setopt($curl1, CURLOPT_USERAGENT, "Mozilla/5.0 (X11; U; Linux i686; it; rv:1.8.1.5) Gecko/20070713 Firefox/2.0.0.5");
curl_setopt($curl1, CURLOPT_REFERER,"http://www.hellboundhackers.org/challenges/timed/timed8/index.php");
$result1 = curl_exec($curl1);
curl_close($curl1);
print $result1;
?>