
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
If a certain number is multiplied by 5, one-third of the product is subtracted, the remainder is divided by 10, and then successively $1 / 3, 1 / 2$, and $1 / 4$ of the original number are added to this, the result is 68. What is the number?

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