
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 Euclidean algorithm to find the greatest common divisor (GCD) of $2146$ and $1813$.  
(2) Use the Horner's method to calculate the value of $v_4$ for the function $f(x)=2x^{5}+3x^{4}+2x^{3}-4x+5$ when $x=2$.

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