Insert cookie after remote

sniffer found: 1、client-F5 no cookie 2、F5-server no cookie 3、server-F5 no cookie 4、F5-client cookie (persistent) 5、client-F5 take cookie 6、F5-server take cookie（so ,I need to remote the cookie,and use persistent cookie） 7、server-F5 no cookie 8、F5-client cookie

Apologies, but still not getting the sense of your requirement. When you say "remote", do you mean "remove"? If so, which cookie, and on which side?

Okay, I think I understand. So you're setting a cookie on the client side for persistence, but then you don't want that cookie to show up on the back end server. If that's correct, then something like this would probably do the trick:

when HTTP_REQUEST {
    HTTP::cookie remove "BIGipServerlocal-pool"
}

where "BIGipServerlocal-pool" is the specific name of the persistence cookie that you want to remove from the inbound stream.

Try this:

when HTTP_REQUEST {
    if { [HTTP::header Cookie] contains "BIGipServer" } {
        HTTP::cookie remove [findstr [HTTP::header Cookie] "BIGipServer" 0 "="]
    }
}

This assumes of course that you're using the default cookie persistence profile.