
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
Investigate the roots of the function f(x) = x^3 + 3x - 1 using the bisection method. After the initial computation, it is found that f(0) < 0 and f(0.5) > 0. Determine the interval that contains one of the roots, x, and the value of f(0.25).

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