
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
If $\log_5 \Big(\log_2 (\log_3 y) \Big) = 2$, calculate $y^{1/3}$.
A) $3^{2^{24}}$
B) $3^{2^{25}/2}$
C) $3^{2^{25}/3}$
D) $3^{2^{26}}$
E) $2^{2^{25}/3}$

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