[合「あ」]う => To do A together/mutually N4
Secondary Verb
うが~うが => Whether A or B N1
Miscellaneous
うと~まいと,うが~まいが => Whether or not A (is/occurs) N1
Based/focused/depending on
と([思「おも」]う、[言「い」]う、[考「かんが」]える) => That A N4
Particles
ようがない => There is no way to do A N2
Potential, Possibility
てしょうがない/てしかたがない => Very A; Really A; Extremely A N2
Degree, Level, Amount
より~の[方「ほう」]が~ => B is more C than A N4
Comparisons
た[方「ほう」]がいい => It would be better to A N4
Can, Should, Must
てくれてありがとう => Thank you for doing A N4
Honorifics
どんなに~うが => No matter what A, no matter how A N1
Miscellaneous
ない[方「ほう」]がよい => It would be better to not A N4
Can, Should, Must
だが => A. However, B N2
Reason, Result, Response