
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
Define an odd function \( f(x) \) on \( \mathbb{R} \) that satisfies \( f(x+2) = -\dfrac{1}{f(x)} \), and on the interval \( (0, 1) \), \( f(x) = 3^x \). Then, calculate \( f(\log_{3}54) \).

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