Whenever I try to download songs it won't work.

Restart the app

Most issues resolve if you quit Apple Music and then reopen it.

To make sure that the app is completely closed and all background processes are stopped before you reopen it, follow these steps:

1. From the Home screen, tap Apps.
2. Tap Settings.
3. Scroll to Apps, then tap it.
4. Tap Apple Music.
5. Tap Force Stop. If you see a message that says "If you force stop an app, it may misbehave," tap OK.
6. Return to the Home screen or your application list, and reopen Apple Music.

If the issues persist, clear the app cache.

Clear the app cache

1. From the Home screen, tap Apps.
2. Tap Settings.
3. Scroll to Apps, then tap it.
4. Tap Apple Music.
5. Tap Storage, then tap Clear Cache.
6. Return to the Home screen or your application list, and reopen Apple Music.

If the issues persist, restart your phone.

Restart your phone

Turn your phone off for 30 seconds, then turn it back on.

If the issues persist, sign out of Apple Music and then sign back in.

Sign out of Apple Music and then sign back in

To sign out:

1. Open the Apple Music app.
2. Tap the menu icon in the upper-left corner.
3. Tap your picture or name at the top of the menu to get to your account settings.
4. Tap Sign Out.

To sign back in:

1. Tap the menu icon in the upper-left corner.
2. Tap Sign In.

When you sign out and then sign back in, you must re-download all of the music that you want to listen to offline.

If the issues persist, contact Apple Support.

I tried all of the above. I deleted all my library. I factory reset my phone. Still, just after downloading the message "removed from device" appears, and no music is downloaded. I spent a while on apple support 'chat', who have now told me to contact tech support by phone. That's my next step.