
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
A crate contains a certain number of identical toy trucks intended to be distributed among 10 children. However, their agreement stipulates that the \( n^{th} \) child will take \( \frac{n}{10} \) of the remaining toy trucks in the crate. The initial number of toy trucks is the smallest number that allows each child to receive an integer number of toy trucks. Determine the number of toy trucks the last child will end up with.
A) 5250
B) 5670
C) 6250
D) 2560

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