
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
Two bear cubs found a large round piece of cheese and wanted to divide it equally but could not agree on how to do it, as each feared the other would get a larger portion. A fox offered to help and broke the cheese into two unequal parts. She then took bites from the larger part, each time taking an amount equal to the smaller part, and continued until the cheese was almost gone. After taking three bites from each part, the remaining cheese weighed two equal small pieces of 20 grams each. Determine the original weight of the cheese found by the bear cubs.

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