
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
Adriano, Bruno, César, and Daniel are four good friends. Daniel had no money, but the others had. Adriano gave Daniel one-fifth of his money, Bruno gave Daniel one-fourth of his money, and César gave Daniel one-third of his money. Each gave Daniel the same amount. The amount Daniel now has represents what fraction of the total initial money that his three friends had together? 
(a) $\frac{1}{10}$
(b) $\frac{1}{4}$
(c) $\frac{1}{3}$
(d) $\frac{2}{5}$
(e) $\frac{1}{2}$

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