Problem (Algebra):
Determine all integer values of $x$ such that $\left(x^{2}-3\right)\left(x^{2}+5\right)<0$.

Solution:
Since $x^{2} \geq 0$ for all $x, x^{2}+5>0$. Since $\left(x^{2}-3\right)\left(x^{2}+5\right)<0, x^{2}-3<0$, so $x^{2}<3$ or $-\sqrt{3}<x<\sqrt{3}$. Thus $x=-1,0,1$.

Final answer: -1,0,1