
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 a function $f(x) = \sin(\omega x + \frac{\pi}{2})$, where $\omega > 0$. If the distance between two adjacent axes of symmetry of the graph of $f(x)$ equals $2\pi$, and the function obtained by shifting the graph of $f(x)$ to the left by $m$ units is an even function, calculate the smallest positive value of $m$.

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