
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
\[
\frac{2^{\log_{\sqrt{2}} a} - 3^{\log_{27}\left(a^2+1\right)^\beta} - 2a}{7^{4 \log_{49} a} - 5^{0.5 \log_{\sqrt{5}} a} - 1}
\]

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