Read each pattern and its example, then write your own sentence on the line.
〜っこない V-masu stem + っこない（話し言葉）
A casual, emphatic no way it will happen. Same meaning as 〜はずがない but spoken only, and used with friends or family, never in formal situations.
そんな難しい問題、私に分かりっこない。 A problem that hard? There's no way I'd understand it.
〜ようがない V-masu stem + ようがない（ようもない）
Says there is no method available, however much you want to act. The problem is a lack of means, not of will. Neutral, used in speech and writing.
連絡先が分からないので、知らせようがない。 I don't know his contact details, so there's no way to let him know.
〜ざるを得ない V-nai stem + ざるを得ない（する→せざるを得ない）
Means you must do it even though you don't want to, because circumstances leave no choice. Formal and written; note する becomes せざるを得ない.
台風のため、旅行を中止せざるを得なかった。 Because of the typhoon, we had no choice but to cancel the trip.
〜ずにはいられない V-nai stem + ずにはいられない（する→せずにはいられない）
Describes a feeling so strong you cannot stop yourself from acting. Spontaneous, not a duty. Somewhat literary; 〜ないではいられない is the softer spoken variant.
あの映画を見ると、泣かずにはいられない。 I can't help crying whenever I watch that film.
〜てたまらない V-te / i-adj くて / na-adj で + たまらない
Says a physical sensation or desire is unbearably strong. Used for the speaker's own feelings; for others add ようだ or らしい. Common in casual speech.
朝から何も食べていないので、お腹がすいてたまらない。 I haven't eaten since this morning, so I'm unbearably hungry.
〜てならない V-te / i-adj くて / na-adj で + ならない（感情を表す語）
Says a feeling or impression wells up on its own and won't go away. Used with emotion verbs and adjectives; more literary and formal than 〜てたまらない.
息子の将来が心配でならない。 I can't help worrying about my son's future.