
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
Liam was given some coins by his grandparents. He lost one-third of them during a bike ride. After searching, he found five-sixths of the coins he had lost. Before finding these coins, however, he accidentally spent one-fourth of the total coins he initially had. How many fractions of the original total coins is Liam still missing after all these events?

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