
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 \( a \) is the remainder when \( 2x^3 - 3x^2 + x - 1 \) is divided by \( x+1 \), find \( a \).

If \( b \ \text{cm}^2 \) is the total surface area of a cube of side \( (8+a) \ \text{cm} \), find \( b \).

One ball is taken at random from a bag containing \( b+4 \) red balls and \( 2b-2 \) white balls.

If \(\sin \theta = x \ (90^\circ < \theta < 180^\circ)\) and \(\tan (\theta - 15^\circ) = y\), find \( y \).

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