
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Suppose for any $m\in(-2,-1)$, $f(x)=mx^{2}-(5m+n)x+n$ has a zero point on $x\in(3,5)$, then the range of the real number $n$ is \_\_\_\_\_\_.

Present the answer in LaTex format: \boxed{Your answer}
user