External form recaptcha not showing

Permalink
I have an external form block where I added recaptcha. The form loads and runs perfect except for the recapcha.
Here is my recaptcha added to my form.
<form name="contact_form" method="post" action=".../promotions/sp_miami_mailer.php">
   <?php
          require_once('recaptchalib.php');
          $publickey = "not listed"; // you got this from the signup page
          echo recaptcha_get_html($publickey);
        ?>
   <table border="0" width="380">


Here is my action code:
<?php
  require_once('recaptchalib.php');
  $privatekey = "not listed";
  $resp = recaptcha_check_answer ($privatekey,
                                $_SERVER["REMOTE_ADDR"],
                                $_POST["recaptcha_challenge_field"],
                                $_POST["recaptcha_response_field"]);
  if (!$resp->is_valid) {
    // What happens when the CAPTCHA was entered incorrectly
    die ("The reCAPTCHA wasn't entered correctly. Go back and try it again." .
         "(reCAPTCHA said: " . $resp->error . ")");
  } else {
...
I do not get any errors. Does anyone know how to integrate recaptcha to an external form?
Thanks