
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
Snow White and the seven dwarfs collected pinecones for a bonfire. Snow White stated that the total number of pinecones is divisible by two. The first dwarf declared that the number is divisible by three, the second dwarf declared that it is divisible by four, the third dwarf stated it is divisible by five, the fourth dwarf said it is divisible by six, the fifth dwarf stated it is divisible by seven, the sixth dwarf mentioned it is divisible by eight, and the seventh dwarf claimed it is divisible by nine. Two out of the eight collectors, who spoke consecutively, were wrong, while the others were right.

How many pinecones were there in the pile, given that the number is certainly less than 350?

Hint: Which numbers are divisible by four and yet not divisible by two?

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