
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 function $f(x) = 2x^5 - 3x^3 + 5x^2 - 4$ when $x=2$. Find the value of $v_3$.

(Where, for $f(x) = a_nx^n + a_{n-1}x^{n-1} + \ldots + a_1x + a_0$, $$\begin{cases} v_0 = a_n \\ v_k = v_{k-1} \cdot x + a_{n-k} \quad (k=1,2,\cdots ,n) \end{cases}$$)

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