
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) Calculate: $(0.25)^0 - \left(\frac{1}{16}\right) - 0.75 + 4(1- \sqrt{2})^4 + \sqrt{6-4\sqrt{2}} + \ln \sqrt{e} + 2^{2+\log_{2}3}$;  
(2) Given $14^a = 6$, $14^b = 7$, express $\log_{42}56$ in terms of $a$ and $b$.

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