
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
There were several whole heads of cheese stored in a warehouse. During the night, some rats came and ate 10 heads, with each rat eating an equal amount. Some of the rats got sick from overeating. The remaining seven rats came the next night and finished the leftover cheese, but each rat could only eat half as much cheese as they did the night before. How much cheese was originally stored in the warehouse?

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