
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 was an integer number of cheese heads in the kitchen. During the night, some rats came and ate 10 cheese heads, with each rat eating an equal portion. Afterward, some of the rats got sick from overeating. The next night, the remaining seven rats finished the remaining cheese, but each rat was able to eat only half as much cheese as they did the previous night. How much cheese was originally in the kitchen?

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