
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 function $f(x)= \begin{cases} x^{2}, & -1 < x\leqslant 1 \\ f(x-2), & 1 < x < 3 \end{cases}$, the tangent line of the function $f(x)$ at $x=x_{0}$ is $l$. If $\frac {1}{6} < x_{0} < \frac {1}{5}$, then the number of common points between $l$ and the graph of $f(x)$ is \_\_\_\_\_\_.

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