到底(とうてい)(cannot) possibly, no matter how

部下(ぶか)：「私(わたし)があなたに反抗(はんこう)することは到底(とうてい)出来(でき)ません。」

Subordinate: "There's no way I could possibly rebel against you." {(cannot) possibly, no matter how}

最下位(さいかい)のその選手(せんしゅ)はトップには到底(とうてい)追(お)い付(つ)けないでしょう。

That player in last place cannot possibly catch up to the top, no matter how hard they try. {(cannot) possibly, no matter how}

選手(せんしゅ)：「あの弱(よわ)い選手(せんしゅ)は、到底(とうてい)僕(ぼく)のライバルにはならないだろう。」

Player: "That weak player could not possibly become my rival, no matter how you look at it." {(cannot) possibly, no matter how}

新人(しんじん)：「僕(ぼく)がプロジェクトのリーダーを務(つと)めるなんて、到底(とうてい)無理(むり)ですよ！」

Newcomer: "There's no way I can possibly serve as the project leader!" {(cannot) possibly, no matter how}

僕(ぼく)の成功(せいこう)の裏(うら)には多(おお)くの人(ひと)の失敗(しっぱい)が隠(かく)れていると思(おも)うと、到底(とうてい)喜(よろこ)ぶ気(き)になれない。

When I think about how many people's failures are hidden behind my success, I cannot possibly feel joy, no matter how much I try. {(cannot) possibly, no matter how}