
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 container is filled with water. Round by round, increasing portions of the remaining water are poured out, starting with one half in the first round, then one third in the next, and then doubling the denominator and subtracting one or two for subsequents rounds (i.e., $\frac{1}{5}$, $\frac{1}{7}$ next). How many rounds are needed until exactly one-fifth of the original water remains?
A) 5
B) 6
C) 7
D) 8
E) 9

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