
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
The ancient Chinese mathematical work "Jiuzhang Suanshu" poses the following problem: "There is a person carrying gold through five checkpoints. At the first checkpoint, half of the gold is taxed. At the second checkpoint, one third of the remaining gold is taxed. At the third checkpoint, one fourth of the remaining gold is taxed. At the fourth checkpoint, one fifth of the remaining gold is taxed. At the fifth checkpoint, one sixth of the remaining gold is taxed. The total tax amount from all five checkpoints equals exactly one jin. How much gold was there originally?" The question asks, "Assuming the original amount of gold is x, and following the same tax rule, what would be the tax at the eighth checkpoint?"

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