Why Iranians used to chant "Death to America"

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The politicians in both sides used to call the other as “the Archenemy”.

In fact the enmity between Iran and America is negligible. The enmity of America with Iran is long standing. It didn’t start with the Islamic revolution. It returns to the moments when President Harry Truman and Mohammad Mossadeq were shaking hands. He was plotting to coup against Mossadegh!

The enmity passed through many adventures amongst shooting down the passenger flight 655 from Tehran to Dubai, shooting the Iranian oil vessels during the imposed war with Iraq, and sanctions, plotting to terror the Iranian politicians and scientists, subsidizing anti Iranian terrorist groups…

is it problem?