
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
Let the sets \( M = \left\{ x \,\middle|\, -\frac{1}{2} < x < \frac{1}{2} \right\} \) and \( N = \left\{ x \mid x^2 \leq x \right\} \). Find the intersection of sets \( M \) and \( N \).

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