
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 universe $U=\{-2, -1, 0, 1, 2\}$, if $M=\{x \mid x^{2} \leq x, x \in U\}$ and $N=\{x \mid x^{3} - 3x^{2} + 2x = 0\}$, then what is $M \cap N$?
A) $\{-2, -1, 0\}$
B) $\{0, 2\}$
C) $\{-1, 1\}$
D) $\{0, 1\}$

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