To find the cube root of \(-125\), we denote it as \(\sqrt[3]{-125}\).
The cube root function can take negative numbers, and the cube root of a negative number will also be negative. To calculate:
\[ \sqrt[3]{-125} = -\sqrt[3]{125} \]
Since \(125 = 5^3\), we get:
\[ \sqrt[3]{125} = 5 \]
Thus, the cube root of \(-125\) is:
\[ \sqrt[3]{-125} = -5 \]
So, the answer is:
\(-5\)