In TV or AUX mode (not SAT), any single key on the Hopper 3 52.0 remote can be programmed to match any one key from another remote, like the manufacturer's remote. Here's how:
1. Get into Settings (e.g., press the Home key twice then choose Settings), then choose Remote Control.
2. Under the DEVICES heading, choose TV for TV mode or Auxiliary Device for AUX mode, then press Select.
3. Choose TEACH COMMANDS.
4. Choose either ADD COMMANDS or CLEAN SLATE. The latter wipes out all previous button assignments, so be careful!
5. Follow the instructions on screen.
With AUX, it's a little more complicated, because before you can choose TEACH COMMANDS, you have to remember whether you initially chose "Audio Amplifier", "Audio Accessory", "Audio Receiver", Television, or DVD when you first paired the remote to control this mode. For pairing to control my Sony home theater system, I had to search under all three "Audio" options to make AUX work, and the best solution was to search for the model of my home theater receiver, then ADD COMMANDS for other functions.
In both TV and AUX modes, I found that not every button on the 52.0 was programmable, and not every command from another remote could be picked up. Still, in about an hour, I got enough of the essential buttons to be satisfied with just the 52.0 remote. Here's a hint when programming commands: don't forget the Up, Down, Left, and Right and Select buttons!