
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 store prices an item so that when 6% sales tax is added, the total price in dollars is a perfect cube and greater than 0. What is the smallest possible total price \( n \) in dollars?
A) 148877
B) 125000
C) 175616
D) 195112

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