
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
Define a new operation $a \star b = \frac{a \times 2b}{a + 2b + 3}$ where $a, b$ are positive integers. What is the result of $6 \star 5$?
A) $\frac{15}{5}$
B) $\frac{60}{19}$
C) $\frac{10}{3}$
D) $\frac{30}{11}$

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