
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
Out of $a$ cards, $b$ piles are made, with each pile containing $c$ points. The first card of each pile scores 11 points if it is an ace, 10 points if it is a face card or a ten, etc. Other cards count for one point. If, after making the piles, there are $d$ cards left, determine the sum $\boldsymbol{x}$ of the points of the first cards of the piles.

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