Instructions
Speak to the Temple Gatekeeper near the Temple of Storms. This is the same person who gives you the Key to the Temple quest. He will provide you with a list of instructions for your next quest, promising Beguile as a reward.
Enter the Temple of Storms just behind the Gatekeeper to start the instance.
Defeat the Son of Storms, found right after you enter the instance. Defeating him completes the Test of Strength, your first objective in this quest.
Complete the puzzle beyond the Son of Storms. Light the snake, tree, bug and bird in the first room. Light the four moons in the second room. Light both braziers and read the book in the third room. Light the sun, tree, snake and beetle -- in that order -- after reading the book. This completes the Get Smart objective.
Defeat Krokopatra beyond the aptitude puzzle. Defeating him completes the final objective in the quest.
Speak with the Ghost of Krokhotep just beyond Krokopatra to receive Beguile.