
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
Among the following numbers: $3.1415$, $0.2060060006$ (where the number of zeros between two consecutive $6$s increases by one each time), $0$, $0.\overset{\cdot }{2}$, $-π$, $\sqrt[3]{5}$, $\frac {22}{7}$, $\sqrt {7}$, $\sqrt {64}$, the number of irrational numbers is _______ .

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