
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
Lord Moneybag said to his grandson, "Bill, listen carefully! Christmas is almost here. I have taken an amount between 300 and 500 pounds, which is a multiple of 6. You will receive 5 pounds in 1-pound coins. When I give you each pound, the remaining amount will first be divisible by 5, then by 4, then by 3, then by 2, and finally by 1 and itself only. If you can tell me how much money I have, you'll get an extra ten." How much money did the lord take?

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