
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
A grocer, the owner of a small shop, decided to set aside a small amount of money for a rainy day. This money was in the form of dollar bills and coins of half and quarter dollar each. He distributed all the money into 8 bags in such a way that each bag contained an equal number of dollar bills, and an equal number of coins of each denomination. One evening, the grocer decided to redistribute the money into 7 bags so that each bag still had an equal number of dollar bills and each type of coin. The next evening he redistributed the money into 6 bags in the same manner.

The unfortunate madman then tried to redistribute all the money into 5 bags, but after several hours of hard work, utterly exhausted and failing to achieve his goal, he passed away, mourned by his neighbors. What is the smallest amount of money the grocer could have set aside for a rainy day?

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