Romans 1:27κατεργαζόμενοι
Likewise, the men abandoned natural relations with women and burned with lust for one another. Men committed indecent acts with other men and received in themselves the due penalty for their error.
1 Corinthians 5:3κατεργασάμενον
Although I am absent from you in body, I am present with you in spirit, and I have already pronounced judgment on the one who did this, just as if I were present.
2 Corinthians 7:10κατεργάζεται
Godly sorrow brings repentance that leads to salvation without regret, but worldly sorrow brings death.
Ephesians 6:13κατεργασάμενοι
Therefore take up the full armor of God, so that when the day of evil comes, you will be able to stand your ground, and having done everything, to stand.
Philippians 2:12κατεργάζεσθε
Therefore, my beloved, just as you have always obeyed, not only in my presence, but now even more in my absence, continue to work out your salvation with fear and trembling.
James 1:3κατεργάζεται
because you know that the testing of your faith develops perseverance.

Abbott-Smith

κατ-εργάζομαι
(emphatic form of ἐργάζομαι), [in LXX for פָּעַל, etc. (9 exx., each for a different Heb. word) ;]
to effect by labour, achieve, work out, bring about: with accusative, Rom.4:15 5:3 7:8, 15-20, 2Co.7:10, Eph.6:13, Jas.1:3; pass., 2Co.12:12; with accusative of thing(s) and dative of person(s), Rom.7:13, 2Co.4:17 7:11 9:11; id. before διά, with genitive of person(s), Rom.15:18; τ. σωτηρίαν, Php.2:12; with accusative of person(s) before εἰς, 2Co.5:5 (RV, wrought); of evil deeds, Rom.1:27 2:9, 1Co.5:3, 1Pe.4:3.†
(AS)

Sources: Abbott-Smith’s Manual Greek Lexicon of the New Testament (1922, public domain) and glosses from STEPBible TBESG (CC BY 4.0); STEPBible TAGNT (Greek New Testament, CC BY 4.0); the Berean Standard Bible (public domain). Reformatted by Word Study, wording unchanged. All sources and licenses.