
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 bag contains \( d \) balls of which \( x \) are black, \( x+1 \) are red, and \( x+2 \) are white. If the probability of drawing a black ball randomly from the bag is less than \(\frac{1}{6}\), find the value of \( d \).

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