切る/切れる/切れない => to do something completely to the end/unable to do; too much to finish/complete N3
[切「き」]れない => Can't finish/complete A N3
Potential, Possibility
切る => Give up, stop... N3
Happens next
~をかわきりに(~を皮切りに)      => One after another; starting with ~ N1
なければならない/なくてはならない/なければいけない/なくてはいけない/なければだめ/なくてはだめ => must N5
これといって…ない => Not... worth mentioning, not... special N2
Emphasize
といっては => If say... N2
Evaluate
… となっては => In that case ... N2
Time
〜にいたっては (に至っては) => when it comes to; as for ~ N1
Extreme level
てばかりはいられない => Cannot always A N2
Needs, Requirements
ずにはいられない/ないではいられない => Can't help but A; A is unavoidable N2
Will, Decision, “Doing”
てやってくれないか => to do a favor; request a favor; do something for ... N4
Correction