
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
(1) Use the Horner's method to compute the value of the polynomial $f(x)=3x^{6}+5x^{5}+6x^{4}+79x^{3}-8x^{2}+35x+12$ when $x=-4$, and find the value of $v_{3}$.
(2) Convert the hexadecimal number $210_{(6)}$ to decimal.

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