
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
José tore out some consecutive pages from a book with pages numbered with consecutive integers written on both sides of each sheet. The sum of the numbers on the torn-out pages is 344.

a) Determine the prime factorization of the number 344.

b) Find the sum of the first and last numbers among the pages that were torn out.

c) Determine the quantity of torn-out pages.

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