
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 mother distributes nuts from a basket among her 4 children. Tamás receives one nut and one fourth of the remaining nuts; then Erzsi receives one nut and one fourth of the remaining nuts; Béla also gets one nut and one fourth of the remaining nuts; finally, Juliska receives one nut and one fourth of the remaining nuts. It is revealed that the boys received 100 more nuts than the girls. How many nuts were there originally, and how many are left in the basket at the end?

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