Filtering Node

You can do it visually by using the Network Map (in GUI: Local Traffic -> Network Map) and using the search function. However I suspect you want to do this from the CLI given that's where you started.

Several ways to do this depending on what the output will be used for. Given the method you've presented, all you'll receive back are the lines matching your 'grep search'...which may not be too useful as they'll only contain the pool member (no pool names). A couple of options:

Use 'one-line' to list the entire pool config on a single line. You'll get the pool configs for all pools that contain that member:

tmsh list ltm pool one-line | grep x.x.x.x

Taking this a step further, if you only want the pool names:

tmsh list ltm pool one-line | grep x.x.x.x | cut -d" " -f3

Have grep match on the first line of the pool config as well as the member you're interested in. This will return all lines including pool names, so you'll have to ignore any pool names that are not immediately followed by your node name:

tmsh list ltm pool | grep 'ltm\|x.x.x.x'

Probably much better ways to do it, but those will get you some initial results.