
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 the Horner's method to calculate the value of the polynomial  
$f(x) = 2 + 0.35x + 1.8x^2 - 3x^3 + 6x^4 - 5x^5 + x^6$ at $x = -1$. Let $v = a_6$, $v_1 = vx + a_5$, ..., $v_6 = v_5x + a$, then the value of $v_3$ is.

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