From Twitter:
Toshi: _ of politics?
Tom: You should pay attention to it.
Toshi: We think it's a waste of time.
Tom: That's why it wastes more than your time.
Toshi: What do ya mean?
Tom: You don't care, so it wastes your money, taxes, health and time.
Do you like
What do you think
Think
日本語訳
トシ：政治についてどう思う？
トム：関心を持ったほうがいいよ。
トシ：時間の無駄だと思う。
トム：だから、時間以上のものを失うんだ。
トシ：どういう意味？
トム：関心がないと、お金も税金も健康も時間も失う、ということさ。
空欄に Do you like／What do you think／Think から選びます。
解答・解説
Answer And ExplanationA. The answer is what do you think; but some people (even one of my favorite living philosophers... not mentioning names... [his initials are Sam Harris] ...) say "how do you think?," but this means something different, such as what is the mechanism of your thought process; that is totally different and inappropriate for this situation (and others) wherein we want to know what thoughts someone has on a subject in the contents of their ideas--not how they arrive at them (chemically or procedural-ly).
B. "Think of politics?" kind of works in casual, abbreviated, dialectic speech, but these questions that I make here and on Twitter are about proper, Standard English.
C. "Do you like of politics?" makes no sense.
正解は What do you think (of politics)?。「政治についてどう思う？」と意見の内容を尋ねます。How do you think? は思考の方法や過程を尋ねるように聞こえる、と原文の筆者は説明しています。会話では Think of politics? と省略する場合もありますが、この問題は標準的な英文が対象です。Do you like of politics? はこの形では成立しません。