How can I remove Safari's default favorites symbols in iOS 7 iPad screen?

Try a Restart.

Press and hold the Sleep/Wake button for a few seconds until the red "slide to power off" slider appears, and then slide the slider. Press and hold the Sleep/Wake button until the Apple logo appears.

Resetting your settings

You can also try resetting all settings. Settings>General>Reset>Reset All Settings. You will have to enter all of your device settings again.... All of the settings in the settings app will have to be re-entered. You won't lose any data, but it takes time to enter all of the settings again.

Resetting your device

Press and hold the Sleep/Wake button and the Home button together for at least ten seconds, until the Apple logo appears. Apple recommends this only if you are unable to restart it.

Or if this doesn't work and nobody else on the blog doesn't have a better idea you can contact Apple.

Here is a link to their contacts with most of the information below.

http://www.apple.com/contact/

1. Tap the Bookmark icon

2. Select Favourite

3. Tap Edit at bottom right

4. Tap the minus sign to remove

I've never been too hasty :) :)

This is a great tutorial with pictures: http://ipadnerds.com/setting-up-safari-ipad-ios-7/