Seven companies, including for-profit hospital operator HCA Holdings Inc. (HCA) and financial-services company Primerica Inc. (PRI), unveiled share offerings after hours.

HCA Holdings said its biggest shareholders are offering around 50 million shares. After the sale, Hercules Holding--held by investors affiliated with Bain Capital Partners LLC, Kohlberg Kravis Roberts & Co. and HCA founder Thomas F. Frist Jr.--will own roughly a 39% stake, down from the 51% it currently owns. The company, which won't receive any proceeds from the offering, had around 443.6 million shares outstanding as of Jan. 31. Shares fell 1.6% to $36.07 after hours.

Primerica said Warburg Pincus LLC, its biggest shareholder, plans to sell 2.5 million shares. After the offering, the private equity firm will own a roughly 4.4% stake in Primerica, which recently had around 57.6 million shares outstanding. Shares were off three cents to $33.28 after hours.

DryShips Inc. (DRYS) is offering 5 million shares in its subsidiary Ocean Rig UDW Inc. (ORIG), which provides offshore drilling services. Ocean Rig won't receive any proceeds from the offering. After the offering, DryShips is expected to own around 61% of Ocean Rig's roughly 131.7 million outstanding shares. Ocean Rig shares fell 4.6% to $16.75 in after-hours trading.

Kosmos Energy Ltd. (KOS) said some of its biggest shareholders and officers, including Warburg Pincus and Blackstone Group L.P. (BX) funds, are offering 30 million shares. The oil and gas company won't receive any proceeds from the offering. Kosmos had around 388.7 million shares outstanding as of Dec. 31. Shares fell 2.8% after hours to $12.39.

American Capital Mortgage Investment Corp. (MTGE) plans to offer 18 million shares, expecting to use the proceeds to buy mortgage investments. The real-estate investment trust had around 35.9 million shares outstanding as of Feb. 8. Shares fell 2.5% to $25.90 in after-hours trading.

Newcastle Investment Corp. (NCT) plans to offer 20 million shares as it raises funds for real-estate securities, residential loans, mortgage-servicing rights or other investments. The real-estate investment trust had around 175 million shares outstanding as of Dec. 31. Shares fell 1.4% to $10.60 in after-hours trading.

Team Health Holding Inc. (TMH) said its primary shareholder, Blackstone affiliate Ensemble Parent LLC, is offering its entire stake of 9.6 million shares. TeamHealth officers and directors are also selling 44,117 shares. The doctor-staffing company recently had around 68 million shares outstanding. Team Health shares were off 24 cents to $33.70 after hours.

Write to Kristin Jones at kristin.jones@dowjones.com

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