A WebmasterWorld thread has one webmaster asking other SEOs what they can do to make an impact on how to change the Google suggestions so that it doesn't show a negative suggestion for his business.
This webmaster explained Google "shows "MyDomain.com" as the 1st result but shows my domain with negative words about my domain as the 2nd and final suggestion "MyDomain.com sucks". This is very unfortunate.
I tried to trigger some of these for popular brands and due to time, this is the best I came up with:
The thread tries to offer this webmaster help, but there is very little you can do to fix the issue. There are things, and the thread goes through some of them. If you have ideas, join the thread.
We did discuss this topic before, we titled it Google Suggest Reputation Management Issues. And that is exactly what this is.
Forum discussion at WebmasterWorld.