
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
Consider the operation "plus twice the reciprocal of," defined by $a\star b=a+\frac{2}{b}$. Calculate the value of $((3\star4)\star5)-(3\star(4\star5))$.
A) $\frac{49}{100}$, B) $\frac{49}{110}$, C) $\frac{59}{120}$, D) $\frac{41}{100}$, E) $\frac{39}{90}$

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