
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:  
(1) $2\log_{5}{25} + 3\log_{2}{64}$  
(2) $125^{\frac{2}{3}} + \left(\frac{1}{2}\right)^{-2} + 343^{\frac{1}{3}}$

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