
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
Find the greatest value and the second greatest value among the numbers \(4^{1/4}, 5^{1/5}, 7^{1/7}, 12^{1/12}\).
A) $4^{1/4}, 5^{1/5}$  
B) $5^{1/5}, 7^{1/7}$  
C) $7^{1/7}, 12^{1/12}$  
D) $12^{1/12}, 4^{1/4}$  
E) None of these

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