
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) In a three-digit number, the first digit on the left was erased. Then, the resulting two-digit number was multiplied by 7, and the original three-digit number was obtained. Find such a number.

b) In a three-digit number, the middle digit was erased, and the resulting number is 6 times smaller than the original. Find such a three-digit number.

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