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1+\sqrt[4]{81}-\sqrt[3]{125}
Calculate \sqrt[5]{1} and get 1.
1+3-\sqrt[3]{125}
Calculate \sqrt[4]{81} and get 3.
4-\sqrt[3]{125}
Add 1 and 3 to get 4.
4-5
Calculate \sqrt[3]{125} and get 5.
-1
Subtract 5 from 4 to get -1.