
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
Given the function $f(x)=\sin (ωx+φ)(ω > 0,|φ|\leqslant \dfrac{π}{2})$, $x=- \dfrac{π}{4}$ is a zero point of $f(x)$, $x=\dfrac{π}{4}$ is the symmetric axis of the graph of $y=f(x)$, and $f(x)$ is monotonic in $(\dfrac{π}{18}, \dfrac{5π}{36})$, find the maximum value of $ω$.

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