
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
Determine \( g(x) \), where the terms should be arranged in order of decreasing degree, if
\[ 2x^5 + 4x^3 - 5x + 3 + g(x) = 3x^4 - 7x^3 + x^2 - 2. \]

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