Claws Out

Claws Out is an unmarked quest in Fallout: New Vegas.

Detailed walkthrough
Head to the quarry and kill both the alpha male and the deathclaw mother. The mother is with the youngsters at all times. It is possible for the player to hide on top of the conveyor belts and shoot the deathclaws without them being able to get to the player, if done correctly. After the targeted deathclaws are dead, you can return and get your reward.

Note that the deathclaws are a rather fearsome enemy and they tend to hunt in packs, which amounts for a very large amount of damage dealt very quickly if the courier alerts the wrong deathclaw at the wrong time, for up to six adult deathclaws at a single time, thus making care and stealth prioritary.

At the entrace to quarry junction there will be 1 or 2 young deathclaws next to a wrecking ball, which shouldn't pose much of a threat; this is a very good place to tell companions to wait if the courier has any, given their tendency to alert deathclaws in the worst possible moment. Afterwards there will be 2 deathclaws in the rock formation midway of the hill and 2 more on top of the hill next to heavy machinery scrap; it is possible (and very advisable) to lure only 2 at a time.

The easiest way to clean the path is to place a "minefield" in the choke with any mine items the player possesses; plasma mines or satchel charges work best but any mine in sufficient amounts will do. After several (6+) are placed, firing at the 2 deathclaws in the rock formation will alert them and they will chase after the player, detonating the mines when they go near them. Same process can be repeated for the ones over the hill. If player does not possess mine items it is possible to let companions "tank" the deathclaws while firing at them, altough this is not advised in hardcore mode due to companion death being a possibility.

Once higher ground is cleared, it is possible to snipe the deathclaws below and get a few free shots on them before they even make it to the player; crippling both their legs will drastically impair their speed and can mean the difference between life and death; again, explosives deal tremendous damage and carry a high chance of crippling limbs. Be careful not to alert the deathclaw alpha male, as fighting him along with more of his kin is suicide.

The "minefield" strategy works against the alpha male as well, who is on the area past the conveyor belt close to the wall. Place a decent amount of mines first, then alert him and run; if you're lucky he will be knocked down to the floor, allowing you to land quite a few free shots before he gets up. Crippling his legs will not be enough to make him slower than you are, so headshots for damage are your best bet. Note that the alpha male is terrifyingly strong up close, and can usually wipe out a mid-level courier in 1-2 hits, even if wearing strong faction armor like NCR or legion combat armor.

The mother is surrounded by a pack of babies at all times, which aren't particularly strong, but can be a nuissance; again, explosives work great against the mother and her cubs, particularly strong grenades like plasma, MCF and nuka-grenades. If not, automatic weapons can take out the cubs while companions take the blunt of the mother's hits. If the player possesses any kind of rocket or missile launchers, it's advisable to use them as opening fire to wipe out the babies.

Once both deathclaw bosses are dead, the player can head to the nest built into the rock formation close to the conveyor belt to pick up a couple mini-nukes, a good condition Light machine gun and a few deathclaw eggs.

Note that due to the impressive melee strength, the high DT and HP of the deathclaws, this quest may prove impossible for mid-level couriers specced on melee or unarmed, with explosives and energy weapons being some of the best skills to fight deathclaws.