
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
If \( 998a + 1 = 999^2 \), find \( a \).

If \( \log_{10} a = \log_{2} b \), find \( b \).

The area of the triangle formed by the \( x \)-axis, the \( y \)-axis, and the line \( 2x + y = b \) is \( c \) square units. Find \( c \).

If \( 64t^2 + ct + d \) is a perfect square, find \( d \).

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