
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
(a) What will be the next palindromic year after 2002?

(b) The last palindromic year, 1991, was odd. When will be the next palindromic odd year?

(c) The last palindromic prime year occurred more than 1000 years ago, in 929. When will be the next palindromic prime year?

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