
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 $f(x) = 5x^6 - 3x^5 + 3.6x^4 - 7.2x^3 - 10.1x^2 + 7x - 3.5$ when $x = 3.7$. Also, find the sum of the number of multiplication operations and addition operations.

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