Wordpress theme breaks existing jquery plugins

I made a custom wordpress theme for a company, and I am using the wp_cycle plugin on the homepage. The wp_cycle plugin only functions when my theme is not installed.

I can't find a js library conflicts and the web inspector does not show any errors. Can anyone help me diagnose the problem?

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You do have an error; use the error console to see "Result of expression '$' [undefined] is not a function."

Remove the other js libraries to narrow down the issue.

See http://api.jquery.com/jQuery.noConflict/ to be sure you are running jQuery in no conflict mode even when not using other libraries.

change all your uses of $() to jQuery(). that way any namespace conflicts with other frameworks are irrelevant. should get you working.