
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
Determine the relative magnitude of the following number pairs:
a) \( 31^{11} \) and \( 17^{14} \),
b) \( 33^{75} \) and \( 63^{60} \),
c) \( 82^{33} \) and \( 26^{44} \),
d) \( 29^{31} \) and \( 80^{23} \).

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