
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
Sokal da tries to find out the largest positive integer n such that if n transforms to base-7, then it looks like twice of base-10.  $156$  is such a number because  $(156)_{10}$  =  $(312)_7$  and 312 = 2 $\times$ 156. Find out Sokal da's number.

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