ゆえに => Because of A N1
Reason, Result, Response
と([思「おも」]う、[言「い」]う、[考「かんが」]える) => That A N4
Particles
どんなに~うが => No matter what A, no matter how A N1
Miscellaneous
うが~うが => Whether A or B N1
Miscellaneous
たあげく => After A, B was the final/end result N2
Reason, Result, Response
でなくてなんだろう => It's definitely A (and not something else) N1
Information, Report
てくれてありがとう => Thank you for doing A N4
Honorifics
げ => Looks A N2
Adjectival, Descriptions
んがため => For the purpose of doing A N1
Reason, Result, Response
うと~まいと,うが~まいが => Whether or not A (is/occurs) N1
Based/focused/depending on
てあげる => Help, do for N4
Give and take advice
へ => Go to N, head to N , Often followed by verbs like 行く/いく, 来る/くる, 向かう/むかう… N5
Particles