1. The problem asks to write the equation of $d(x)$ in terms of $p(x)$. 2. To express $d(x)$ in terms of $p(x)$, we need a relationship or formula connecting $d(x)$ and $p(x)$. 3. Since the problem does not provide a specific relationship, we can only state the general form: $$d(x) = f(p(x))$$ where $f$ is some function of $p(x)$. 4. Without additional information about how $d(x)$ depends on $p(x)$, we cannot simplify further. 5. If you provide the relationship or context, I can help write the explicit equation.