Claws Out

 is an unmarked quest in Fallout: New Vegas.

Quick walkthrough
1. Travel to Sloan and speak to Chomps Lewis.

2. Discuss why the miners are not working and agree to look into the Deathclaw problem at his quarry.

3. Proceed to Quarry Junction and eliminate the Deathclaw Mother and the Deathclaw Alpha Male.

4. Return to Sloan and speak to Chomps Lewis to complete the quest and get the reward.

Detailed walkthrough
Head to the quarry and kill the alpha male. It may or may not be with the mother and youngsters. The mother is with the youngsters at all times. Younger deathclaws are half the size of a normal deathclaw, but the mother makes up for it at 1.5x the size of a normal one. It is advisable for a player bring a lot AP rounds with them, as deathclaws have a very high damage threshold. After the targeted deathclaws are dead, you can return and get your reward.