yk12311/Berkeley-Function-Calling-Leaderboard huggingface dataset:
user: I'm trying to understand my chances in a game with a 30% win probability per round. Can you calculate the probability of winning exactly 3 out of 10 rounds, 5 out of 15 rounds, and 7 out of 20 rounds?

Available functions:
name: calc_binomial_probability
description: Calculates the probability of getting k successes in n trials.
parameters: type: dict
properties: n: type: integer
description: The number of trials.
k: type: integer
description: The number of successes.
p: type: float
description: The probability of success.
required: n
k
p

Answer: calc_binomial_probability(n=10, k=3, p=0.3)
calc_binomial_probability(n=15, k=5, p=0.3)
calc_binomial_probability(n=20, k=7, p=0.3)
user: I'm refining the data points in my machine learning model and need to compare the similarity of several vector pairs to fine-tune the system. Could you calculate the cosine similarities for the following pairs: [0.5, 0.7, 0.2, 0.9, 0.1] with [0.3, 0.6, 0.2, 0.8, 0.1], [0.2, 0.4, 0.6, 0.8, 1.0] with [1.0, 0.8, 0.6, 0.4, 0.2], and [0.1, 0.2, 0.3, 0.4, 0.5] with [0.5, 0.4, 0.3, 0.2, 0.1]?

Available functions:
name: calculate_cosine_similarity
description: Calculates the cosine similarity of two vectors.
parameters: type: dict
properties: vectorA: type: array
items: type: float
description: The first vector.
vectorB: type: array
items: type: float
description: The second vector.
required: vectorA
vectorB

Answer: calculate_cosine_similarity(vectorA=[0.5, 0.7, 0.2, 0.9, 0.1], vectorB=[0.3, 0.6, 0.2, 0.8, 0.1])
calculate_cosine_similarity(vectorA=[0.2, 0.4, 0.6, 0.8, 1.0], vectorB=[1.0, 0.8, 0.6, 0.4, 0.2])
calculate_cosine_similarity(vectorA=[0.1, 0.2, 0.3, 0.4, 0.5], vectorB=[0.5, 0.4, 0.3, 0.2, 0.1])
user: I'm conducting an experiment with four objects of different materials and need to calculate their densities. The metal cube weighs 500 grams and takes up 100 cc, the plastic sphere is 200 grams and 50 cc, the wooden block is 300 grams and has a volume of 75 cc, and the glass cylinder is 400 grams with an 80 cc volume. Could you determine the density for each one?

Available functions:
name: calculate_density
description: Calculates the density of an object.
parameters: type: dict
properties: mass: type: float
description: The mass of the object, in kilograms.
volume: type: float
description: The volume of the object, in cubic meters.
required: mass
volume

Answer: calculate_density(mass=0.5, volume=0.0001)
calculate_density(mass=0.2, volume=0.00005)
calculate_density(mass=0.3, volume=0.000075)
calculate_density(mass=0.4, volume=0.00008)
user: I've been conducting experiments on projectile motion and recorded data from my latest trials using a catapult to launch three objects. For a stone with an initial velocity of 20 m/s, a rubber ball at 30 m/s, and a metal ball at 25 m/s, each experiencing an acceleration of -9.8 m/s² and in motion for 5 seconds, could you work out the displacement for each object after those 5 seconds?

Available functions:
name: calculate_displacement
description: Calculates the displacement of an object.
parameters: type: dict
properties: initial_velocity: type: float
description: The initial velocity of the object, in meters per second.
acceleration: type: float
description: The acceleration of the object, in meters per second squared.
time: type: float
description: The time the object has been moving, in seconds.
required: initial_velocity
acceleration
time

Answer: calculate_displacement(initial_velocity=20, acceleration=-9.8, time=5)
calculate_displacement(initial_velocity=30, acceleration=-9.8, time=5)
calculate_displacement(initial_velocity=25, acceleration=-9.8, time=5)
user: I'm engaged in a study on electrostatic interactions and need to analyze the electrostatic potential energy for a proton with a charge of 1.6 x 10^-19 Coulombs in a 500 Volt field, an electron with a charge of -1.6 x 10^-19 Coulombs in a 1000 Volt field, and a neutron, which has no charge, in a 2000 Volt field. Can we run these calculations?

Available functions:
name: calculate_electrostatic_potential_energy
description: Calculates the electrostatic potential energy.
parameters: type: dict
properties: charge: type: float
description: The charge of the object, in coulombs.
voltage: type: float
description: The voltage of the object, in volts.
required: charge
voltage

Answer: calculate_electrostatic_potential_energy(charge=1.6e-19, voltage=500)
calculate_electrostatic_potential_energy(charge=-1.6e-19, voltage=1000)
calculate_electrostatic_potential_energy(charge=0, voltage=2000)
user: I'm working on a physics experiment to understand the principles of motion and need to calculate the final velocities of several objects. For the car, with an initial speed of 5 meters per second, it accelerates at 2 meters per second squared over 10 seconds. The bicycle starts at 2 meters per second and accelerates at 1 meter per second squared for 15 seconds. The skateboard begins at 1 meter per second and accelerates at 0.5 meters per second squared over 20 seconds. Could you determine the final velocities for the car, bicycle, and skateboard?

Available functions:
name: calculate_final_velocity
description: Calculates the final velocity of an object.
parameters: type: dict
properties: initial_velocity: type: float
description: The initial velocity of the object.
acceleration: type: float
description: The acceleration of the object.
time: type: float
description: The time the object has been moving.
required: initial_velocity
acceleration
time

Answer: calculate_final_velocity(initial_velocity=5, acceleration=2, time=10)
calculate_final_velocity(initial_velocity=2, acceleration=1, time=15)
calculate_final_velocity(initial_velocity=1, acceleration=0.5, time=20)
user: I'm currently weighing up some investment options and would like to get an idea of their potential growth over time. Could you help me calculate the future value for a bond with an initial investment of $5000, an annual interest rate of 5%, and a term of 10 years; a mutual fund that starts with $2000, grows at an annual rate of 7%, and will be held for 15 years; and stocks starting at $1000, with an impressive annual growth rate of 10%, over a 20-year period? I need to understand the future values to make an informed decision.

Available functions:
name: calculate_future_value
description: Calculates the future value of an investment.
parameters: type: dict
properties: present_value: type: float
description: The present value of the investment, in dollars.
interest_rate: type: float
description: The interest rate of the investment, ranging from 0 to 1.
periods: type: integer
description: The number of periods, in years.
required: present_value
interest_rate
periods

Answer: calculate_future_value(present_value=5000, interest_rate=0.05, periods=10)
calculate_future_value(present_value=2000, interest_rate=0.07, periods=15)
calculate_future_value(present_value=1000, interest_rate=0.1, periods=20)
user: I've been keeping track of some statistics and need to calculate averages to analyze trends: a basketball player's performance with scores of 35, 40, 45, 50, and 55 points in his last five games, the weekly temperature with recordings of 72, 75, 78, 80, 82, and 85 degrees Fahrenheit, and the monthly fluctuation in the price of a dozen eggs at $1.50, $1.55, $1.60, $1.65, and $1.70. Could you calculate the mean values for these?

Available functions:
name: calculate_mean
description: Calculates the mean of a list of numbers.
parameters: type: dict
properties: numbers: type: array
items: type: float
description: The list of numbers.
required: numbers

Answer: calculate_mean(numbers=[35, 40, 45, 50, 55])
calculate_mean(numbers=[72, 75, 78, 80, 82, 85])
calculate_mean(numbers=[1.50, 1.55, 1.60, 1.65, 1.70])
user: I'm working on a few probability problems for my statistics class, and I need to figure out some permutations. Could you help me calculate the number of different ways to arrange 5 books on a shelf if I have 20 books to choose from, the number of different lineups I can create with 5 players on the court when there are 12 players on the team for my basketball team project, and the number of different combinations for choosing 3 main courses from a selection of 10 on the menu for a dinner event I'm planning?

Available functions:
name: calculate_permutations
description: Calculates the number of permutations of k elements from a set of n elements.
parameters: type: dict
properties: n: type: integer
description: The number of elements in the set.
k: type: integer
description: The number of elements to choose.
required: n
k

Answer: calculate_permutations(n=20, k=5)
calculate_permutations(n=12, k=5)
calculate_permutations(n=10, k=3)
user: I'm analyzing three datasets and need to calculate the standard deviation for each. The first dataset includes ages from a recent survey: 23, 34, 45, 56, 67, 78, and 89 years old. The second dataset consists of this week's pricing data from our store inventory: $10, $20, $30, $40, $50, and $60. The third dataset features our basketball team's scores from the past season: 90, 80, 70, 60, 50, and 40 points. Can you help me understand the variability within each group?

Available functions:
name: calculate_standard_deviation
description: Calculates the standard deviation of a list of numbers.
parameters: type: dict
properties: numbers: type: array
items: type: float
description: The list of numbers.
required: numbers

Answer: calculate_standard_deviation(numbers=[23, 34, 45, 56, 67, 78, 89])
calculate_standard_deviation(numbers=[10, 20, 30, 40, 50, 60])
calculate_standard_deviation(numbers=[90, 80, 70, 60, 50, 40])
user: I need to calculate the area of three different triangles for a construction project I'm working on: one with a base of 15 meters and a height of 20 meters, another with a base of 25 feet and a height of 30 feet, and a third with dimensions of 35 inches by 40 inches for the base and height, respectively. Can you give me the areas for each triangle?

Available functions:
name: calculate_triangle_area
description: Calculates the area of a triangle given its base and height.
parameters: type: dict
properties: base: type: integer
description: The base of the triangle, in meters.
height: type: integer
description: The height of the triangle, in meters.
required: base
height

Answer: calculate_triangle_area(base=15, height=20)
calculate_triangle_area(base=25, height=30)
calculate_triangle_area(base=35, height=40)
user: I'm planning a multi-country trip and need to budget my expenses in different currencies. I have 5000 JPY that I need to convert to USD, EUR, and AUD to understand how much I can spend in each region, along with 100 CAD converted to CHF. Can you calculate these conversions for me?

Available functions:
name: convert_currency
description: Converts a given amount from one currency to another using the ExchangeRate-API.
parameters: type: dict
properties: amount: type: float
description: The amount of money to convert, in the base currency.
from_currency: type: string
description: The ISO currency code for the base currency.
to_currency: type: string
description: The ISO currency code for the target currency.
required: amount
from_currency
to_currency

Answer: convert_currency(amount=5000, from_currency='JPY', to_currency='USD')
convert_currency(amount=5000, from_currency='JPY', to_currency='EUR')
convert_currency(amount=5000, from_currency='JPY', to_currency='AUD')
convert_currency(amount=100, from_currency='CAD', to_currency='CHF')
user: I'm working on some calculus problems and need help estimating derivatives. Could you find the derivative of f(x) = 3x^2 + 2x - 1 at x = 4, calculate the derivative of g(x) = 5x^3 - 3x^2 + 2x + 1 at x = -2, determine the derivative of h(x) = 2x^4 - 3x^3 + 2x^2 - x + 1 at x = 0, and get the derivative of i(x) = x^5 - 2x^4 + 3x^3 - 2x^2 + x - 1 at x = 1?

Available functions:
name: estimate_derivative
description: Estimate the derivative of a function at a given point.
parameters: type: dict
properties: function: type: string
description: The function to calculate the derivative of.
x: type: integer
description: The point to calculate the derivative at.
required: function
x

Answer: estimate_derivative(function='lambda x: 3*x**2 + 2*x - 1', x=4)
estimate_derivative(function='lambda x: 5*x**3 - 3*x**2 + 2*x + 1', x=-2)
estimate_derivative(function='lambda x: 2*x**4 - 3*x**3 + 2*x**2 - x + 1', x=0)
estimate_derivative(function='lambda x: x**5 - 2*x**4 + 3*x**3 - 2*x**2 + x - 1', x=1)
user: I came across some slang terms that the younger folks in my office have been using, and I'm feeling a bit out of the loop. Could you help me understand what they mean? I'd like to know the definitions of 'Lit', 'Savage', and 'YOLO' as they're defined on Urban Dictionary. Can you look these up for me?

Available functions:
name: find_term_on_urban_dictionary
description: Finds the definition of a term on Urban Dictionary.
parameters: type: dict
properties: term: type: string
description: The term to find the definition of.
required: term

Answer: find_term_on_urban_dictionary(term='Lit')
find_term_on_urban_dictionary(term='Savage')
find_term_on_urban_dictionary(term='YOLO')
user: I'm working on a project designing several circular components of different sizes and need the exact areas for circles with radii of 5 units, 10 units, 15 units, and 20 units to estimate the material costs for each component. Could you provide these calculations?

Available functions:
name: geometry_area_circle
description: Calculates the area of a circle.
parameters: type: dict
properties: radius: type: integer
description: The radius of the circle, in feet.
required: radius

Answer: geometry_area_circle(radius=5)
geometry_area_circle(radius=10)
geometry_area_circle(radius=15)
geometry_area_circle(radius=20)
user: With the pandemic still lingering, I'm trying to stay updated on the COVID-19 situation around the globe. I'm particularly interested in the current active case numbers for a few countries. Could you provide me with the latest figures for active COVID-19 cases in France, Italy, the United States, and China?

Available functions:
name: get_active_covid_case_by_country
description: Finds the most up to date active cases of a country result from COVID.
parameters: type: dict
properties: country: type: string
description: The country to find the active cases of, in the format of the country's full name.
required: country

Answer: get_active_covid_case_by_country(country='France')
get_active_covid_case_by_country(country='Italy')
get_active_covid_case_by_country(country='United States')
get_active_covid_case_by_country(country='China')
user: I'm currently analyzing the stocks with symbols 'AAPL', 'GOOGL', 'AMZN', and 'MSFT' for my financial report and need to match them with their corresponding companies. Can you provide me with the company names for these stocks?

Available functions:
name: get_company_name_by_stock_name
description: Finds the company name of a stock by its stock name.
parameters: type: dict
properties: stock_name: type: string
description: The stock name of the product, in the format of the stock symbol.
required: stock_name

Answer: get_company_name_by_stock_name(stock_name='AAPL')
get_company_name_by_stock_name(stock_name='GOOGL')
get_company_name_by_stock_name(stock_name='AMZN')
get_company_name_by_stock_name(stock_name='MSFT')
user: I'm working on tracking the geographical locations of certain network requests for a project I'm involved in. Could you provide me the latitude and longitude for the IP addresses '192.168.1.1', '172.16.254.1', '10.0.0.1', and '192.0.2.1'?

Available functions:
name: get_coordinate_by_ip_address
description: Finds the latitude and longitude of an IP address.
parameters: type: dict
properties: ip_address: type: string
description: The IP address to find the location of.
required: ip_address

Answer: get_coordinate_by_ip_address(ip_address='192.168.1.1')
get_coordinate_by_ip_address(ip_address='172.16.254.1')
get_coordinate_by_ip_address(ip_address='10.0.0.1')
get_coordinate_by_ip_address(ip_address='192.0.2.1')
user: I'm planning a road trip across the United States and need coordinates to estimate travel times and distances. Could you provide the latitude and longitude for New York, Los Angeles, Chicago, and Houston?

Available functions:
name: get_coordinates_from_city
description: Fetches the latitude and longitude of a given city name using the Maps.co Geocoding API.
parameters: type: dict
properties: city_name: type: string
description: The name of the city, such as 'Rome'.
required: city_name

Answer: get_coordinates_from_city(city_name='New York')
get_coordinates_from_city(city_name='Los Angeles')
get_coordinates_from_city(city_name='Chicago')
get_coordinates_from_city(city_name='Houston')
user: I'm compiling a report on the impact of COVID-19 and need the latest death tolls for Brazil, India, Russia, and France. Could you provide me with the total number of deaths for these countries, ensuring the data is as recent as possible?

Available functions:
name: get_covid_death_by_country
description: Finds the most up to date total deaths of a country result from COVID.
parameters: type: dict
properties: country: type: string
description: The country to find the total deaths of, in the format of the country's full name.
required: country

Answer: get_covid_death_by_country(country='Brazil')
get_covid_death_by_country(country='India')
get_covid_death_by_country(country='Russia')
get_covid_death_by_country(country='France')
user: I'm working on a project where I need to calculate the distances between several pairs of points on a 2D plane: (3, 4) and (7, 9), (1, 2) and (5, 6), (0, 0) and (8, 15), and (10, 12) and (20, 25). Can you help me with these calculations?

Available functions:
name: get_distance
description: Calculates the distance between two 2D points.
parameters: type: dict
properties: pointA: type: tuple
description: The first point.
items: type: float
pointB: type: tuple
description: The second point.
items: type: float
required: pointA
pointB

Answer: get_distance(pointA=(3, 4), pointB=(7, 9))
get_distance(pointA=(1, 2), pointB=(5, 6))
get_distance(pointA=(0, 0), pointB=(8, 15))
get_distance(pointA=(10, 12), pointB=(20, 25))
user: I'm working on a project related to numerical sequences and their applications, and the Fibonacci sequence has piqued my interest. For my analysis, could you calculate the first 10, 20, and 5 numbers in the Fibonacci sequence?

Available functions:
name: get_fibonacci_sequence
description: Calculates the n numbers of the Fibonacci.
parameters: type: dict
properties: n: type: integer
description: The number of Fibonacci numbers to calculate.
required: n

Answer: get_fibonacci_sequence(n=10)
get_fibonacci_sequence(n=20)
get_fibonacci_sequence(n=5)
user: I'm looking to compare prices for a few items I've spotted on Amazon, and I have their ASINs ready: 'B08PPDJWC8', 'B07ZPKBL9V', 'B08BHXG144', and 'B075H2B962'. Could you help me out by checking the prices for these products and provide the current price for each of these items?

Available functions:
name: get_price_by_amazon_ASIN
description: Finds the price of a product by its Amazon ASIN.
parameters: type: dict
properties: ASIN: type: string
description: The Amazon ASIN of the product.
required: ASIN

Answer: get_price_by_amazon_ASIN(ASIN='B08PPDJWC8')
get_price_by_amazon_ASIN(ASIN='B07ZPKBL9V')
get_price_by_amazon_ASIN(ASIN='B08BHXG144')
get_price_by_amazon_ASIN(ASIN='B075H2B962')
user: I need to break down a few numbers into their prime factors for an encryption algorithm I'm working on: 456, 789, 321, and 654.

Available functions:
name: get_prime_factors
description: Calculates the prime factors of a number.
parameters: type: dict
properties: number: type: integer
description: The number to calculate the prime factors of.
required: number

Answer: get_prime_factors(number=456)
get_prime_factors(number=789)
get_prime_factors(number=321)
get_prime_factors(number=654)
user: I'm doing a bit of market research and I have a list of Amazon Standard Identification Numbers (ASINs) for products I'm interested in: 'B075H2B962', 'B08BHXG144', 'B07ZPKBL9V', and 'B08PPDJWC8'. Could you look up the product names for these ASINs to streamline my analysis?

Available functions:
name: get_product_name_by_amazon_ASIN
description: Finds the price of a product by its Amazon ASIN.
parameters: type: dict
properties: ASIN: type: string
description: The Amazon ASIN of the product.
required: ASIN

Answer: get_product_name_by_amazon_ASIN(ASIN='B075H2B962')
get_product_name_by_amazon_ASIN(ASIN='B08BHXG144')
get_product_name_by_amazon_ASIN(ASIN='B07ZPKBL9V')
get_product_name_by_amazon_ASIN(ASIN='B08PPDJWC8')
user: I'm doing a comparative analysis of different products on Amazon, and customer ratings are crucial for my research. I have a list of products identified by their unique ASIN codes and need ratings for ASINs 'B08PPDJWC8', 'B07ZPKBL9V', 'B075H2B962', and 'B08BHXG144'. Could you provide the ratings for each of these products?

Available functions:
name: get_rating_by_amazon_ASIN
description: Finds the rating of a product by its Amazon ASIN.
parameters: type: dict
properties: ASIN: type: string
description: The Amazon ASIN of the product.
required: ASIN

Answer: get_rating_by_amazon_ASIN(ASIN='B08PPDJWC8')
get_rating_by_amazon_ASIN(ASIN='B07ZPKBL9V')
get_rating_by_amazon_ASIN(ASIN='B075H2B962')
get_rating_by_amazon_ASIN(ASIN='B08BHXG144')
user: I'm doing a comparative analysis of several tech giants for my investment portfolio. Could you provide me with the daily price history of Apple's stock ('AAPL'), the weekly price history for Microsoft ('MSFT') including any stock splits or dividends, the monthly price history for Amazon ('AMZN'), and the three-month price history for Tesla ('TSLA') excluding any stock splits or dividends?

Available functions:
name: get_stock_history
description: Finds the price of a stock by its stock name like AAPL, MSFT.
parameters: type: dict
properties: stock_name: type: string
description: The stock name of the product, in the format of the stock symbol.
interval: type: string
description: The interval of the stock history. Allows one of following : 5m|15m|30m|1h|1d|1wk|1mo|3mo
diffandsplits: type: string
description: The diff and splits of the stock history. Allows one of following : true|false. Default as false
required: stock_name
interval

Answer: get_stock_history(stock_name='AAPL', interval='1d', diffandsplits='false')
get_stock_history(stock_name='MSFT', interval='1wk', diffandsplits='true')
get_stock_history(stock_name='AMZN', interval='1mo', diffandsplits='false')
get_stock_history(stock_name='TSLA', interval='3mo', diffandsplits='false')
user: I'm currently tracking several stocks and need the latest trading prices for 'GOOG' (Google), 'META' (Meta Platforms), 'NFLX' (Netflix), and 'BABA' (Alibaba Group Holding Limited). Could you provide me with these prices?

Available functions:
name: get_stock_price_by_stock_name
description: Finds the price of a stock by its stock name.
parameters: type: dict
properties: stock_name: type: string
description: The stock name of the product, in the format of the stock symbol.
required: stock_name

Answer: get_stock_price_by_stock_name(stock_name='GOOG')
get_stock_price_by_stock_name(stock_name='META')
get_stock_price_by_stock_name(stock_name='NFLX')
get_stock_price_by_stock_name(stock_name='BABA')
user: I'm working on a travel itinerary across various time zones and need to schedule meetings in different cities globally. Could you help me find out the time zones for the following coordinates: longitude 77.1025 and latitude 28.7041, longitude -73.935242 and latitude 40.730610, longitude 151.2093 and latitude 33.8688, and longitude 139.6917 and latitude 35.6895?

Available functions:
name: get_time_zone_by_coord
description: Finds the timezone of a coordinate.
parameters: type: dict
properties: long: type: string
description: The longitude of the coordinate.
lat: type: string
description: The latitude of the coordinate.
required: long
lat

Answer: get_time_zone_by_coord(long='77.1025', lat='28.7041')
get_time_zone_by_coord(long='-73.935242', lat='40.730610')
get_time_zone_by_coord(long='151.2093', lat='33.8688')
get_time_zone_by_coord(long='139.6917', lat='35.6895')
user: I'm planning a series of business trips to various international cities and need to prepare for the weather conditions I'll encounter. Could you provide me with the current weather for Los Angeles (34.0522, -118.2437), London (51.5074, -0.1278), Cape Town (-33.9249, 18.4241), and Paris (48.8566, 2.3522)?

Available functions:
name: get_weather_data
description: Fetches weather data from the Open-Meteo API for the given latitude and longitude.
parameters: type: dict
properties: coordinates: type: array
items: type: float
description: The latitude and longitude of the location.
required: coordinates

Answer: get_weather_data(coordinates=[34.0522, -118.2437])
get_weather_data(coordinates=[51.5074, -0.1278])
get_weather_data(coordinates=[-33.9249, 18.4241])
get_weather_data(coordinates=[48.8566, 2.3522])
user: I'm doing an analysis on our network traffic and need to identify the zip codes for several IP addresses that have come up in the logs. Could you find the zip codes for '192.168.1.1', '172.16.254.1', '10.0.0.1', and '203.0.113.0'? It would really help to understand the potential sources of the traffic.

Available functions:
name: get_zipcode_by_ip_address
description: Finds the zipcode of an IP address.
parameters: type: dict
properties: ip_address: type: string
description: The IP address to find the location of.
required: ip_address

Answer: get_zipcode_by_ip_address(ip_address='192.168.1.1')
get_zipcode_by_ip_address(ip_address='172.16.254.1')
get_zipcode_by_ip_address(ip_address='10.0.0.1')
get_zipcode_by_ip_address(ip_address='203.0.113.0')
user: I'm working on a project that involves some heavy matrix calculations, and I need to multiply several pairs of matrices to analyze the data. Could you multiply these sets of matrices: [[1, 2, 3], [4, 5, 6], [7, 8, 9]] with [[10, 11, 12], [13, 14, 15], [16, 17, 18]]; [[19, 20], [21, 22]] with [[23, 24], [25, 26]]; [[27, 28, 29, 30], [31, 32, 33, 34]] with [[35, 36, 37, 38], [39, 40, 41, 42]]; and [[43, 44], [45, 46]] with [[47, 48], [49, 50]]?

Available functions:
name: mat_mul
description: Multiplies two matrices.
parameters: type: dict
properties: matA: type: array
description: The first matrix.
items: type: integer
matB: type: array
description: The second matrix.
items: type: integer
required: matA
matB

Answer: mat_mul(matA=[[1, 2, 3], [4, 5, 6], [7, 8, 9]], matB=[[10, 11, 12], [13, 14, 15], [16, 17, 18]])
mat_mul(matA=[[19, 20], [21, 22]], matB=[[23, 24], [25, 26]])
mat_mul(matA=[[27, 28, 29, 30], [31, 32, 33, 34]], matB=[[35, 36, 37, 38], [39, 40, 41, 42]])
mat_mul(matA=[[43, 44], [45, 46]], matB=[[47, 48], [49, 50]])
user: Could you please provide the factorial results for the numbers 5, 7, 10, and 12?

Available functions:
name: math_factorial
description: Calculates the factorial of a number.
parameters: type: dict
properties: n: type: integer
description: The number to calculate the factorial of.
required: n

Answer: math_factorial(n=5)
math_factorial(n=7)
math_factorial(n=10)
math_factorial(n=12)
user: I need the greatest common divisors for my math assignment, specifically for these pairs: 45 and 60, 81 and 27, 144 and 96, and 100 and 80. Can you provide the GCDs for all these pairs?

Available functions:
name: math_gcd
description: Calculates the greatest common divisor of two numbers.
parameters: type: dict
properties: a: type: integer
description: The first number. This should be the larger number.
b: type: integer
description: The second number.
required: a
b

Answer: math_gcd(a=45, b=60)
math_gcd(a=81, b=27)
math_gcd(a=144, b=96)
math_gcd(a=100, b=80)
user: I need to calculate the least common multiples for a set of number pairs for a small programming project I'm working on. Could you determine the LCMs for the pairs 35 and 45, 72 and 108, 120 and 180, and 200 and 300? These calculations will help me optimize a part of my code related to scheduling tasks.

Available functions:
name: math_lcm
description: Calculates the least common multiple of two numbers.
parameters: type: dict
properties: a: type: integer
description: The first number. This should be the larger number.
b: type: integer
description: The second number.
required: a
b

Answer: math_lcm(a=45, b=35)
math_lcm(a=72, b=108)
math_lcm(a=120, b=180)
math_lcm(a=200, b=300)
user: I'm evaluating several mortgage options and need to calculate the monthly payments for different loan scenarios: a $350,000 loan with a 3.5% interest rate over 30 years, a $500,000 loan with a 4% interest rate over 20 years, a $750,000 loan at a 2.5% interest rate with a term of 15 years, and a $1,000,000 loan at a 3% interest rate to be paid off in 10 years. Could you provide me the monthly payment amounts for each of these loans?

Available functions:
name: mortgage_calculator
description: Calculates the monthly mortgage payment.
parameters: type: dict
properties: loan_amount: type: float
description: The amount of the loan.
interest_rate: type: float
description: The interest rate of the loan, ranging from 0 to 1.
loan_period: type: integer
description: The period of the loan, in years.
required: loan_amount
interest_rate
loan_period

Answer: mortgage_calculator(loan_amount=350000, interest_rate=0.035, loan_period=30)
mortgage_calculator(loan_amount=500000, interest_rate=0.04, loan_period=20)
mortgage_calculator(loan_amount=750000, interest_rate=0.025, loan_period=15)
mortgage_calculator(loan_amount=1000000, interest_rate=0.03, loan_period=10)
user: I need to solve a few quadratic equations for a math assignment. Could you calculate the roots for these sets of coefficients: 3, 7, and 2; 5, 12, and 4; 8, 16, and 6; and 10, 20, and 8? I'm trying to understand the pattern of the roots in relation to the coefficients.

Available functions:
name: quadratic_roots
description: Calculates the roots of a quadratic equation.
parameters: type: dict
properties: a: type: integer
description: The first coefficient.
b: type: integer
description: The second coefficient.
c: type: integer
description: The third coefficient.
required: a
b
c

Answer: quadratic_roots(a=3, b=7, c=2)
quadratic_roots(a=5, b=12, c=4)
quadratic_roots(a=8, b=16, c=6)
quadratic_roots(a=10, b=20, c=8)
user: I'm working on a real estate project that requires me to analyze various properties in different cities, and I need to match the zip codes '90210', '10001', '60601', and '94102' with their respective cities for my market analysis. This information will be crucial for my next meeting with the investors. Could you help me find the cities for these zip codes?

Available functions:
name: retrieve_city_based_on_zipcode
description: Finds the city of a zipcode.
parameters: type: dict
properties: zipcode: type: string
description: The zipcode of the city.
required: zipcode

Answer: retrieve_city_based_on_zipcode(zipcode='90210')
retrieve_city_based_on_zipcode(zipcode='10001')
retrieve_city_based_on_zipcode(zipcode='60601')
retrieve_city_based_on_zipcode(zipcode='94102')
user: I'm planning an international conference and need to consider public holidays when scheduling. Could you retrieve the list of holidays for the United States in 2018, Germany in 2020, Spain in 2019, and the United Kingdom in 2021? It's crucial these dates are accurate to avoid any clashes with national holidays.

Available functions:
name: retrieve_holiday_by_year
description: Finds the holidays of a year.
parameters: type: dict
properties: year: type: string
description: The year of the holidays.
country: type: string
description: The country of the holidays. Possible options: US, AT, DE, ES, FR, GB, IT, NL, PL, RO, SK, UA.
required: year
country

Answer: retrieve_holiday_by_year(year='2018', country='US')
retrieve_holiday_by_year(year='2020', country='DE')
retrieve_holiday_by_year(year='2019', country='ES')
retrieve_holiday_by_year(year='2021', country='GB')
user: Please sort the list [5, 2, 9, 1, 7] in ascending order, [3, 8, 6, 4] in descending order, [10, 20, 30, 40, 50] in ascending order, and [100, 200, 300, 400, 500] in descending order.

Available functions:
name: sort_array
description: Sorts an array of numbers.
parameters: type: dict
properties: array: type: array
items: type: integer
description: The array of numbers.
reverse: type: boolean
description: Whether to sort the array in reverse order, i.e., descending order. Default is False
default: no
required: array

Answer: sort_array(array=[5, 2, 9, 1, 7])
sort_array(array=[3, 8, 6, 4], reverse=True)
sort_array(array=[10, 20, 30, 40, 50])
sort_array(array=[100, 200, 300, 400, 500], reverse=True)
user: I need to perform a series of binary number additions: add 0011 with 1100, 1010 with 0101, 1111 with 0000, and 0001 with 1110. Let me know the results for each pair, please.

Available functions:
name: add_binary_numbers
description: Adds two binary numbers.
parameters: type: dict
properties: a: type: string
description: The first binary number.
b: type: string
description: The second binary number.
required: a
b

Answer: add_binary_numbers(a='0011', b='1100')
add_binary_numbers(a='1010', b='0101')
add_binary_numbers(a='1111', b='0000')
add_binary_numbers(a='0001', b='1110')
user: I'm working on a project that involves predicting future trends based on past data. Could you calculate the projected y-values using a linear regression model for the following sets of points: for x-coordinates [1, 2, 3] and y-coordinates [4, 5, 6], estimate y at x=10; for x-coordinates [2, 4, 6] and y-coordinates [8, 10, 12], estimate y at x=15; for x-coordinates [3, 6, 9] and y-coordinates [12, 15, 18], estimate y at x=20; and for x-coordinates [4, 8, 12] and y-coordinates [16, 20, 24], estimate y at x=25?

Available functions:
name: linear_regression
description: Finds the linear regression of a set of points and evaluates it at a given point.
parameters: type: dict
properties: x: type: array
description: The x coordinates of the points.
items: type: integer
y: type: array
description: The y coordinates of the points.
items: type: integer
point: type: integer
description: The point to calculate the linear regression at.
required: x
y
point

Answer: linear_regression(x=[1,2,3],y=[4,5,6],point=10)
linear_regression(x=[2,4,6],y=[8,10,12],point=15)
linear_regression(x=[3,6,9],y=[12,15,18],point=20)
linear_regression(x=[4,8,12],y=[16,20,24],point=25)
user: I'm working on a project that involves analyzing geometric patterns, and I need to figure out the maximum number of points that lie on a single straight line within various sets of coordinates. Could you help me with this? For the sets of points [[1,1],[2,2],[3,4],[5,5]], [[1,2],[3,2],[5,2],[4,2]], [[0,0],[1,1],[0,1],[1,0]], and [[1,1],[3,2],[5,3],[7,4]], please provide the maximum number of collinear points for each set of coordinates.

Available functions:
name: maxPoints
description: Finds the maximum number of points on a line.
parameters: type: dict
properties: points: type: array
items: type: array
items: type: integer
description: A point represented by a 2 element list [x, y].
description: The list of points. Points are 2 element lists.
required: points

Answer: maxPoints(points=[[1,1],[2,2],[3,4],[5,5]])
maxPoints(points=[[1,2],[3,2],[5,2],[4,2]])
maxPoints(points=[[0,0],[1,1],[0,1],[1,0]])
maxPoints(points=[[1,1],[3,2],[5,3],[7,4]])
user: I'm considering some investment scenarios and would like to understand the potential growth of my capital over different time frames and varying conditions. Could you calculate the real value of an initial investment of $1,000,000 with an annual addition of $1,000 over 3 years at a 10% annual return, considering inflation rates of 1% for the first year and 4% for the next two years? Also, for a second scenario, starting with $500,000 and adding $500 annually over 5 years with a 7% return and inflation rates of 2%, 3%, 2%, 3%, and 2%, what will the value be? For a smaller initial sum of $250,000 with a $2,000 annual contribution over 7 years at a 5% return, with inflation alternating between 1% and 2%, what is the adjusted value? Lastly, with an $800,000 initial investment, adding $1,500 yearly for 10 years at an 8% return, considering inflation oscillating between 1% and 2% every other year, what would be the final adjusted value?

Available functions:
name: calculate_investment_value
description: Calculates the value of an investment over time.
parameters: type: dict
properties: initial_investment: type: integer
description: The initial investment amount.
annual_contribution: type: float
description: The annual contribution amount.
years: type: integer
description: The number of years to calculate the investment value for.
annual_return: type: float
description: The annual return rate, ranging from 0 to 1.
inflation_rate: type: array
items: type: float
description: The inflation rate for each year in percentage, ranging from 0 to 1.
adjust_for_inflation: type: boolean
default: yes
description: Whether to adjust the investment value for inflation.
required: initial_investment
annual_contribution
years
annual_return
inflation_rate

Answer: calculate_investment_value(initial_investment=1000000, annual_contribution=1000, years=3, annual_return=0.1, inflation_rate=[0.01, 0.04, 0.04])
calculate_investment_value(initial_investment=500000, annual_contribution=500, years=5, annual_return=0.07, inflation_rate=[0.02, 0.03, 0.02, 0.03, 0.02])
calculate_investment_value(initial_investment=250000, annual_contribution=2000, years=7, annual_return=0.05, inflation_rate=[0.01, 0.02, 0.01, 0.02, 0.01, 0.02, 0.01])
calculate_investment_value(initial_investment=800000, annual_contribution=1500, years=10, annual_return=0.08, inflation_rate=[0.01, 0.02, 0.01, 0.02, 0.01, 0.02, 0.01, 0.02, 0.01, 0.02])
user: I'm working on a new fitness plan and need to tailor it specifically for a few clients with different profiles. Could you help me calculate the daily nutritional needs for a 25-year-old male (180 cm, 75 kg, moderately active, weight gain), a 30-year-old female (165 cm, 65 kg, lightly active, weight maintenance), a 40-year-old male (175 cm, 85 kg, very active, weight loss), and a 55-year-old female (160 cm, 70 kg, not very active, weight loss)?

Available functions:
name: calculate_nutritional_needs
description: Calculates the nutritional needs of a person based on their weight, height, age, gender, activity level, and goal.
parameters: type: dict
properties: weight: type: float
description: The weight of the person in kilograms.
height: type: float
description: The height of the person in centimeters.
age: type: float
description: The age of the person in years.
gender: type: string
description: The gender of the person. Possible options [male, female, other].
activity_level: type: float
description: The activity level of the person. Possible options [1,2,3,4,5].
goal: type: string
description: The goal of the person. Possible options [lose, gain, maintain].
required: weight
height
age
gender
activity_level
goal

Answer: calculate_nutritional_needs(weight=75, height=180, age=25, gender='male', activity_level=3, goal='gain')
calculate_nutritional_needs(weight=65, height=165, age=30, gender='female', activity_level=2, goal='maintain')
calculate_nutritional_needs(weight=85, height=175, age=40, gender='male', activity_level=5, goal='lose')
calculate_nutritional_needs(weight=70, height=160, age=55, gender='female', activity_level=1, goal='lose')
user: I'm planning a small get-together this weekend and I'd like to order some food for my guests. For the order, I want 10 burgers at $5 each, 7 ice creams at $2 each, 3 pizzas at $8 each, and 12 donuts at $1 each. Could you calculate the total cost for these items using your ordering system?

Available functions:
name: order_food
description: Orders food for a customer.Return the total price.
parameters: type: dict
properties: item: type: array
items: type: string
description: the name of the product, possible options ['fries', 'dumplings', 'pizza', 'soda', 'salad', 'rice bowl', 'burger', 'cake', 'cookie', 'ice cream', 'sandwich', 'hot dog', 'noodles', 'chicken', 'beef', 'pork', 'fish', 'shrimp', 'lobster', 'crab', 'steak'].
quantity: type: array
items: type: integer
description: the number of the product purchased.
price: type: array
items: type: float
description: the number of the product purchased.
required: item
quantity
price

Answer: order_food(item=['burger'], quantity=[10], price=[5])
order_food(item=['ice cream'], quantity=[7], price=[2])
order_food(item=['pizza'], quantity=[3], price=[8])
order_food(item=['donut'], quantity=[12], price=[1])
user: We're planning a dinner and decided to order 101 dumplings at $0.1 each, 20 rice bowls at $10 each, 50 spring rolls at $0.5 each, and 10 noodle soups at $3 each. I need to know the total cost for our meal. Can you work that out for me?

Available functions:
name: order_food
description: Orders food for a customer.Return the total price.
parameters: type: dict
properties: item: type: array
items: type: string
description: the name of the product, possible options ['fries', 'dumplings', 'pizza', 'soda', 'salad', 'rice bowl', 'burger', 'cake', 'cookie', 'ice cream', 'sandwich', 'hot dog', 'noodles', 'chicken', 'beef', 'pork', 'fish', 'shrimp', 'lobster', 'crab', 'steak'].
quantity: type: array
items: type: integer
description: the number of the product purchased.
price: type: array
items: type: float
description: the number of the product purchased.
required: item
quantity
price

Answer: order_food(item=['dumplings'], quantity=[101], price=[0.1])
order_food(item=['rice bowl'], quantity=[20], price=[10])
order_food(item=['spring rolls'], quantity=[50], price=[0.5])
order_food(item=['noodle soup'], quantity=[10], price=[3])
user: I'm having a Tarantino movie marathon tonight and want to make sure I've got my facts straight for the trivia session with my friends. Can you fetch me the directors for the movies 'Pulp Fiction,' 'Reservoir Dogs,' 'Kill Bill,' and 'Django Unchained'? I'll need this info to impress the gang.

Available functions:
name: get_movie_director
description: Fetches the director of a movie from the OMDB API.
parameters: type: dict
properties: movie_name: type: string
description: The name of the movie.
required: movie_name

Answer: get_movie_director(movie_name='Pulp Fiction')
get_movie_director(movie_name='Reservoir Dogs')
get_movie_director(movie_name='Kill Bill')
get_movie_director(movie_name='Django Unchained')
user: I've been on a classic film binge lately and have a few iconic movies lined up for my next movie night. My cousin is staying over, so I need to ensure the films are appropriate for us to watch together. Could you check the age ratings for 'Pulp Fiction', 'The Godfather', 'Schindler's List', and 'The Dark Knight'?

Available functions:
name: get_movie_rating
description: Fetches the age rating of a movie from the OMDB API.
parameters: type: dict
properties: movie_name: type: string
description: The name of the movie.
required: movie_name

Answer: get_movie_rating(movie_name='Pulp Fiction')
get_movie_rating(movie_name='The Godfather')
get_movie_rating(movie_name="Schindler's List")
get_movie_rating(movie_name='The Dark Knight')
user: I'm working on a project that requires calculating the areas of various plots of land based on their corner points. For the first plot, the corners are at [1,2], [3,4], [1,4], and [3,7]; the second one has corners at [5,5], [6,7], and [7,5]; the third plot's corners are at [2,1], [4,2], [3,4], and [1,3]; and the fourth plot, which has an irregular shape, has corners at [-1,0], [2,3], [0,4], and [-2,2]. Could you provide the area calculations for these four plots?

Available functions:
name: polygon_area
description: Calculate the area of a polygon given its vertices using the shoelace formula.
parameters: type: dict
properties: vertices: type: array
items: type: array
items: type: float
description: A single vertex represented by a 2 element list [x, y].
description: The vertices of the polygon, where each vertex is a 2 element list [x, y].
required: vertices

Answer: polygon_area(vertices=[[1,2],[3,4],[1,4],[3,7]])
polygon_area(vertices=[[5,5],[6,7],[7,5]])
polygon_area(vertices=[[2,1],[4,2],[3,4],[1,3]])
polygon_area(vertices=[[-1,0],[2,3],[0,4],[-2,2]])