
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
Given the polynomial function $f(x) = 2x^5 - 5x^4 - 4x^3 + 3x^2 - 6x + 7$, use Horner's method to find the value when $x=5$. Let $v = 2$, then $v_1 = 2 \times 5 - 5 = 5$. Find $v_3$.

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