
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 tank is initially full of water. One third of the water is drained out. Then, one quarter of the remainder is drained out in the second step. This process continues with each step involving the removal of $\frac{1}{k+2}$ of the water remaining after the previous step. After how many steps does exactly one seventh of the original water remain?
A) 10 
B) 11 
C) 12 
D) 13 
E) 14

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