Baka to Test to Shoukanjuu‎ - Volume 8, The Second Question

Ace Carter Greyson, her husband of five long years forcefully divorced her on the night of their fifth wedding anniversary. Reason? Simply because she can't bear him a male heir.

Phoenix begged him to stay but his decision was firm and unbendable so she finally let him go. Her life was even more shattered after she discovered his long time affair with his secretary, and now, the mistress was pregnant. Just months after their divorce he married the impregnated secretary.

Phoenix's world suddenly turns upside down when she discovers she's four months pregnant.

Bathed in the love of her imperial family and her husband, Yun Shang was a spoiled princess and the envy of many at the Royal Court. Her life had been perfect right up till the moment when she realized that everything was just a sham, a ruse designed by the Empress to ruin Yun Shang. After enduring bitter treachery and being poisoned, Yun Shang died with a broken heart and an unfulfilled vow of vengeance. As if God was answering her final request, Yun Shang found herself reborn like an immortal phoenix. She was eight again, and all her memories from her previous life remained intact. The others, however, did not remember the events leading up to her death. Determined not to repeat her mistakes, Yun Shang planned to rain hellfire onto the treacherous, backstabbing villains for all the heart-wrenching pain they had once inflicted upon her. He was the handsome and smart prince of the Ning, who was revered as a battle-hardened general that knew no match in the world. He had thought he wouldn’t settle for anyone until she showed up. A seemingly innocent young princess and a gorgeous prince. Where would their relationship lead them?

- Description from Novelupdates

In the original lines of the novel, I was a villainess—used as a political tool by my father and older brother—who ended up dying at the hands of my future husband.

This is a story of a modern man returning to ancient times, returning to a real world without any extraordinaryness, and slowly rising by relying on the ability to attribute all data.

- Description from novelbuddy