It depends on what is meant my manipulation, as there are several meanings of the word. In the case of a human or animal body, it means moving a part around from the outside, such as stretching someone's leg, moving an arm into a different position, doing a chiropractic adjustment, and so on.
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HTTP Header Manipulation
Not sure if its what you are looking for, but if someone if skilled at manipulation, he or she is manipulative.
When learnt material is reproduced without any manipulation, it is called....
rhythmic
The environmental manipulation of a crop may have unexpected consequences in several ways. It may need more water than the original crop, and it may give off more or less fruit.