Question 1209722
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Hint #1 
Combine like terms. Simplify the polynomial as much as possible before moving on.



Hint #2
{{{1/p + 1/q + 1/r + 1/s = (pqr+pqs+prs+qrs)/(pqrs)}}}



Hint #3
Use Vieta's Formulas. 
See this <a href="https://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/Polynomials-and-rational-expressions.faq.question.1209721.html">similar question</a>
The specific formulas you'll need are:
{{{system(pqr+pqs+prs+qrs = -d/a,pqrs = e/a)}}}
where a through e are coefficients from ax^4+bx^3+cx^2+dx+e
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