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-27+\left(-7\right)^{0}-4^{2}+\left(-5\right)^{2}
Calculate -3 to the power of 3 and get -27.
-27+1-4^{2}+\left(-5\right)^{2}
Calculate -7 to the power of 0 and get 1.
-26-4^{2}+\left(-5\right)^{2}
Add -27 and 1 to get -26.
-26-16+\left(-5\right)^{2}
Calculate 4 to the power of 2 and get 16.
-42+\left(-5\right)^{2}
Subtract 16 from -26 to get -42.
-42+25
Calculate -5 to the power of 2 and get 25.
-17
Add -42 and 25 to get -17.