
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
Find all values of \( m \) for which any solution of the equation

\[ 2019 \cdot \sqrt[3]{3.5x - 2.5} + 2018 \cdot \log_{2}(3x - 1) + m = 2020 \]

belongs to the interval \([1; 3]\).

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