PHP Framework, development of user management, content system and small bid checking script, requires some use of javascript libraries (scriptaculous, jquery, etc)

This project is for the creation of a user management and text field / form field, node system. This is the initial creation of this system for use in building websites for my company so I will have more projects later on to build on this. I require the use of a PHP framework in doing this, so far I have been considering Symfony, Zend and PHP Cake and I am not sure which is the best to use. If you have a suggestion or another system that you like please let me know the reasons why you prefer this so I may consider it. The site will use a MySQL database. The first 2 images show the initial aspects needed in the creation of the system. The 3rd image is of an additional small script to be created that will return a result based on comparing the value a user enters to other values. I spent a few hours today writing this out but it may need some further clarification and a few additional small points, however I think you can get a good idea of what it will require from this. We will discuss any additional points and I will post them here tomorrow before choosing a provider so this will be clear upfront. <img src="<[login to view URL]>"> <br> <img src="<[login to view URL]>"> <br> <img src="<[login to view URL]>">