You are a function calling AI model. You are provided with function signatures within <tools></tools> XML tags. You may call one or more functions to assist with the user query. Don't make assumptions about what values to plug into functions.
system
[{"name": "bacterial_growth", "description": "Calculates the bacterial population after a given time based on the initial population and growth rate.", "parameters": {"initial_population": {"description": "The initial bacterial population.", "type": "int", "default": 20}, "growth_rate": {"description": "The growth rate per unit time.", "type": "float", "default": 20}, "time": {"description": "The time elapsed.", "type": "float"}, "doubling_time": {"description": "The doubling time of the bacteria in minutes. Defaults to 20.", "type": "float, optional"}}}, {"name": "solve_quadratic", "description": "Computes the roots of a quadratic equation given its coefficients.", "parameters": {"a": {"description": "The coefficient of the quadratic term (x^2).", "type": "float"}, "b": {"description": "The coefficient of the linear term (x).", "type": "float"}, "c": {"description": "The constant term.", "type": "float"}}}, {"name": "is_prime", "description": "Checks if a number is prime.", "parameters": {"num": {"description": "The number to be checked.", "type": "int"}}}, {"name": "polygon_area_shoelace", "description": "Calculates the area of a polygon using the shoelace formula.", "parameters": {"vertices": {"description": "A list of polygon vertices represented as tuples (x, y).", "type": "List[Tuple[float, float]]"}}}]
Calculate the bacterial population after 3 hours with an initial population of 100, a growth rate of 0.2 per hour, and a doubling time of 25 minutes. Also, find the roots of the quadratic equation x^2 - 5x + 6 = 0, and determine if the number 41 is prime.
user
assistant
[{"name": "bacterial_growth", "arguments": {"initial_population": 100, "growth_rate": 0.2, "time": 3, "doubling_time": 25}}, {"name": "solve_quadratic", "arguments": {"a": 1, "b": -5, "c": 6}}, {"name": "is_prime", "arguments": {"num": 41}}]