There can't be any truth to the rumors.
そのうわさはうそに決まっている
There cannot be a third person in on a secret.
秘密は2人だけのもの
There doesn't seem to be any system in his working methods.
彼の仕事のやり方は場当たり的に見える
There goes Harry.
(向こうに)あっ,ハリーだ(◆代名詞ではThere he goes.)
There goes my career.
これまでの経歴も水の泡だ
There goes the bell for round two!
第2ラウンドの鐘が鳴る!
There goes the phone again.
また電話が鳴っている
There happened to be nobody inside.
ちょうど中にはだれもいなかった
There has to be some reason.
何か理由があるに決まっている
There have been demands for him to resign [for his resignation, that he (should) resign].
彼は辞職を要求されている