dict(role='BOT',prompt='FinalAnswer: The final answer is $26$. I hope it is correct.'),
dict(role='HUMAN',prompt='The surface area of a sphere with radius $r$ is $4\pi r^2$. Including the area of its circular base, what is the total surface area of a hemisphere with radius 6 cm? Express your answer in terms of $\pi$.'),
dict(role='BOT',prompt="""Tool:PythonInterpreter\nTool Input:import math
def solution():
radius = 6
# Surface area of the hemisphere
hemisphere_area = 2 * math.pi * radius**2
# Area of the circular base
base_area = math.pi * radius**2
# Total surface area
total_surface_area = hemisphere_area + base_area
# Formatting the result in LaTeX
result = r'{}\pi'.format(total_surface_area / math.pi)
return result"""),
dict(role='SYSTEM',prompt='Response:108.0\\pi'),
dict(role='BOT',prompt='FinalAnswer: The final answer is $108.0\pi$. I hope it is correct.'),
dict(role='HUMAN',prompt='Monica tosses a fair 6-sided die. If the roll is a prime number, then she wins that amount of dollars (so that, for example, if she rolls 3, then she wins 3 dollars). If the roll is composite, she wins nothing. Otherwise, she loses 3 dollars. What is the expected value of her winnings on one die toss? Express your answer as a dollar value to the nearest cent.'),