
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
(1) Evaluate: $\sqrt{6.25} - (-\pi)^0 - \left(-\frac{8}{27}\right)^{\frac{2}{3}} + (1.5)^{-2}$;
(2) Solve the inequality: $7^{3x} < \left(\frac{1}{7}\right)^{12-6x}$.

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