
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 $f(x)=\sin (ωx- \frac {π}{4})(ω > 0)$, where the smallest positive period is $\frac {2π}{3}$,
(1) Find $ω$;
(2) Find the range of the function $y=f(x)$ when $x\in [\frac {π}{6}, \frac {π}{2}]$;
(3) Find the sum of all real roots of the equation $f(x)=a (0 < a < 1)$ in the interval $[0,2π]$.

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