Can the songs be deleted

Your phone uses Windows phone 8.1.
For this system there are simple instructions excerpted here and on line here: http://support.xbox.com/en-US/legacy-devices/windows-phone-8/manage-xbox-music-collection

Remove music from your collection
To delete a single song

1. In the Songs pane, find the song you want to delete.
2. Tap and hold the song, and then tap Delete.

To delete more than one song

1. Tap Select (the icon with three lines).
2. Select the songs to delete. You can also tap More (the ellipses icon) and then Select all to select all the songs, and then unselect the songs you want to keep.
3. Tap Delete (the trash can icon).
4. When you see the prompt "This will delete from your phone and cloud connection. Are you sure you want to delete?" tap Ok.

You must connect to the computer with iTunes. There you can select the music you want t delete.
For that wait till the iPod is backed up by iTunes, then on the left side click on the line with the name of your iPod. Then on top click on Music and then you see what music you can synchronise.
If you already did remove the original backups from the music on the iPad, there is a chance iTunes all remove all these numbers.

Apple has lots of info about every part you want to know about your iPod and iTunes.

There are two ways to delete music from your iPod. The first is to delete songs in your iTunes library and have iTunes sync your library to your iPod automatically when you plug your iPod into the computer. The second is to manually delete music by resetting the options to a manual setting and deleting music directly from your iPod without affecting the songs in your iTunes library. Follow these steps to delete music from your iPod. Open up iTunes by double clicking on the "iTunes" icon. Go to "Library" on the far left side of the screen. Click "Music" from this list, which will bring up all your music on the main part of the screen. Choose a song you would like to delete from the list and right click on it. Click "Delete" from the drop-down menu that appears to delete your song. Go to the bottom of the left column on the screen to "Playlists." Click on one of your playlists to bring up the list of songs in the list. From there you can delete a song on the list. Connect your iPod to your computer. The iTunes program will automatically sync your iPod to whatever you have changed in your iTunes library as long as it is set to the default settings. Manually Delete Music Connect your iPod to your computer. Open up iTunes. Choose the third option in the "Options" menu called "Manually manage music" by checking the box next to it. It will ask you if you are sure you want to manually manage music on your iPod. Click "OK." Go to "Devices" on the far left column on your screen. You will see your iPod's name directly underneath that with an arrow pointing to the right. Click on the arrow, which will cause it to rotate until it is pointing downward and a drop-down menu will appear with all your songs listed. Click on a category or playlist, which will bring up all the songs in the list in the main section of the screen. Choose on a song listed that you would like to delete and right click on it, then click "Delete" from the drop-down menu that appears to delete your song.

In order to delete songs you either:

In iTunes:

Remove the song by clicking on the line in your library and pressing the delete (del) key and answering yes to delete.

or

Uncheck the song, and under iPod settings click to only sync checked songs. Either way when you resync the song should not be there.

To delete music connect ipod to itunes on computer.In music folder under your ipod name you can then delete music.

connect it to itunes.. click on the ipod and under the music tab.. uncheck sync all music from music library

Deleting Songs Using Windows Media Player
Use Windows Media Player to view the songs that are stored on your mp3 player - best to view them in the "Sync" tab. Find the song that you want to delete, right-click the song, and select Delete (or left-click and press Delete on your keyboard). Voila!

-Tha Mp3 Doctor

There are some songs that I don't want and I wish to delete them. But I don't know how to do that. I tried to delete songs on my media player but that won't work. is there some solution to this? Please walk me through this in the most easy way possible if you can.

delete them within I tunes programme

If your computer says you don't have any, but your MP3 does you can delete it from your MP3 player. Click on the song that you want to delete and go down to delete song. Click on it and whala! the song is deleted