
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
Let \( d \) be the greatest common divisor of a natural number \( b \) and 175. If \( 176 \times (b - 11 \times d + 1) = 5 \times d + 1 \), then \( b = \) ________.

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