
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
Use Horner's method to calculate the value of the polynomial $f(x) = 2x^{6} + 3x^{5} + 5x^{3} + 6x^{2} + 7x + 8$ at $x = 2$ and find the value of $V_{2}$.

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