
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 that $f(x)$ is a periodic function on $\mathbb{R}$ with the smallest positive period of 2, and when $0 \leq x < 2$, $f(x) = x^3 - x$, calculate the number of points at which the graph of the function $y = f(x)$ intersects the x-axis in the interval $[0, 6]$.

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