How would you translate The Martian's: "I'm going to science the s*** out of this"?
科学 could indeed function as a static verb, but it is not recognized as a regular verb. Neither was 和谐, until it became a fad using it to criticize mainland politics (as in 他被和谐了). As in English, you could formally make most nouns verbs, but it only works if people understand the logic behind the transformation.

As for 科学, you could probably use the 化 suffix to accomplish what you want: 要科学化这个该死的问题想个办法。