Credit Report and searches

You should phone Equifax or Experian for advice, Equifax's number is

0870 010 0583. Both these agencys will only change the data if it is incorrect (or you didn't consent to a search), otherwise you would need to contact the company that did the search. I'm not entirely sure that companys can remove a record of a search, but they can certainly change other information held about you (e.g. payments, defaults, etc.).

It's unlikely that a company would remove a search though, can I ask why you want the search removed?