How can I determine missing excape characters from current string command from master to remote server via SSH?

I am running into issue to determine escape characters from master to remote server over ssh.  I can return desired output on remote server with no issues.  Trying to run similar string on master server to remote server to get same result.

Below example is working fine on remote server and has expected results:

[root@remote_server ~]# echo ${passwd_expire}
Jun 17, 2020
[root@remote_server ~]# echo ${current_date}
Jan 09, 2020
[root@remote_server ~]# echo $(( ($(date --date="$(echo ${passwd_expire})" +%s) - $(date --date="$(echo ${current_date})" +%s) )/(60*60*24) ))
159

I would like to run those remotely and get same output, but I keep running into bash errors and I can't determine which escape character I could be missing or if it's execution process order is incorrect.

server=remote_server


[root@master ~]# echo ${passwd_expire}
Jun 17, 2020
[root@master ~]# echo ${current_date}
Jan 09, 2020
[root@master ~]# ssh -q ${server} "echo $(( ($(date --date="$(echo ${passwd_expire})" +%s) - $(date --date="$(echo ${current_date})" +%s) )/(60*60*24) ))"

Need some advice on how I can run similar string directly on remote server on this master server as well via ssh.