
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 find the value of the polynomial f(x) = 2 + 0.35x + 1.8x² - 3.66x³ + 6x⁴ - 5.2x⁵ + x⁶ at x = -1. Let v₀ = a₆, v₁ = v₀x + a₅, ..., v₆ = v₅x + a₀. Find the value of v₃.

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