There is a rumor that Kuma manipulates everyone behind the scenes.
Because the hiragana ends with an う sound, you know this word is a verb. The kanji itself means manipulate, so the verb vocab version is to manipulate.
Since this word consists of a kanji with hiragana attached, you can bet that it will use the kun'yomi reading. You didn't learn that reading with this kanji, so here's a mnemonic to help you: A guy using eye arts (あやつ) isn't a great guy, it's the type of guy who might try to manipulate you via hypnosis of the eyes.