I don't know if I can ask this here, I haven't been able to solve these logical sequences

$$\neg s\to q$$
$$(u \vee p)\to (u \vee t)$$
$$(r\land s)\to t$$
$$\neg r\to q$$
$$q\to u$$
implies that
$$\neg t \to u$$

I have tried to apply the logical laws but it did not come up with anything.\

would appreciate any hint