
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 function $y = f(x)$ have its derivative $f'(x)$ on the interval $(a, b)$, and the derivative of $f'(x)$ on the interval $(a, b)$ be $f''(x)$. If $f''(x) > 0$ on the interval $(a, b)$, then the function $f(x)$ is said to be "concave" on the interval $(a, b)$. Given that $f(x) = \frac{1}{20}x^{5} - \frac{1}{12}mx^{4} - 2x^{2}$ is "concave" on the interval $(1,3)$. The range of the real number $m$ is ______.

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