Question 2
Can every positive rational number $q$ be written as
$$
\frac{a^{2021} + b^{2023}}{c^{2022} + d^{2024}},
$$
where $a, b, c, d$ are all positive integers?
$$
\frac{a^{2021} + b^{2023}}{c^{2022} + d^{2024}},
$$
where $a, b, c, d$ are all positive integers?