Give the degree of the polynomial. \[ -5 u^{10}-14 w^{3} u y^{5}+2-y^{2} w^{3} \]

To find the degree of the polynomial, we look for the term with the highest total degree. Here, the degrees of each term are as follows: 1. \(-5 u^{10}\) has a degree of 10 (since the exponent of \(u\) is 10). 2. \(-14 w^{3} u y^{5}\) has a total degree of \(3 + 1 + 5 = 9\) (summing the exponents of \(w\), \(u\), and \(y\)). 3. \(2 - y^{2} w^{3}\) has a degree of \(0\) for the constant \(2\) and \(2 + 3 = 5\) for the term \(-y^{2} w^{3}\). The highest degree among these is \(10\) from the first term. Therefore, the degree of the polynomial is \(10\).