
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
Calculate the following expressions:  
(1) ($$\sqrt[3]{25}$$ - $$\sqrt{125}$$) ÷ $$\sqrt[4]{5}$$;  
(2) $$\frac{a^{2}}{\sqrt{a} \cdot \sqrt[3]{a^{2}}}$$ (a > 0).

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