I will work my mystical powers on him so the bleeding stops
Myth #2
I will lead the kingdom as you order.
You will do as I say within the kingdom. 
Myth #3
You can't kill me!
The Tsar and Tsarina sough much help for their son's case of hemophilia. Upon hearing of Rasputin, they allowed him a session with the boy and he worked his 'mystical powers' on the prince. 
Fact #1
I insist you stop giving the boy aspirin!
Many believed that in result of Rasputin helping the prince, he became a massive influence over the Tsar and Tsarina. Which led to whispers of Rasputin secretly being the true ruler of Russia. 
Fact #2
Your advice has never proved to be beneficial to this kingdom.
After multiple attempts of killing Rasputin, many deemed him impossible to kill. 
Fact #3
The prince was taking aspirin, a known blood thinner. Upon Rasputin's insistence, they stopped giving it to the prince and his bleeding stopped. 
In truth though, Rasputin offered his advice to the Tsar and Tsarina, but it never proved to be beneficial to Russia. 
I advise you do this and that within the kingdom.
In reality, one attempt to kill him was a mishap. The poison given to Rasputin was canceled by the excessive amount of sugar consumed by Rasputin. He was eventually killed by someone and tossed into a cold river.