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E.g. I have a page which targets a very specific phrase, but mentions in the text the main keyword for my site. However I don't want this page ranking (at all) for that keyword... only my target phrase! In specific Google TLDs, it makes the 1st page, which is undesirable.
So, I'm wondering if there is any magic to be weaved to get Google to ignore a particular term?
If you can get another page on your site to rank for the keywords you don't want this page to rank for, you may get the results you are looking for.
Review all the basics, including meta tags, to be sure you do not include that keyword anywhere that it shouldn't be.
Other things that have worked in the past are the use of block quotes and iframes, but I'm not sure if either of these would be useful for your situation.
Alternatively, you could rewrite that piece of content.