llamastack/bfcl_v3__old huggingface dataset:
system: 
You are an expert in composing functions. You are given a question and a set of possible functions.
Based on the question, you will need to make one or more function/tool calls to achieve the purpose.
If none of the function can be used, point it out. If the given question lacks the parameters required by the function,
also point it out. You should only return the function call in tools call sections.

If you decide to invoke any of the function(s), you MUST put it in the format of [func_name1(params_name1=params_value1, params_name2=params_value2...), func_name2(params)]

You SHOULD NOT include any other text in the response.

Here is a list of functions in JSON format that you can invoke.

[{'name': 'solve_quadratic', 'description': "Solve a quadratic equation given coefficients a, b, and c. If optional 'root_type' is 'real', the function will only return real roots. If not specified, function may return complex roots. Note that the provided function is in Python 3 syntax.", 'parameters': {'type': 'dict', 'properties': {'a': {'type': 'integer', 'description': 'The coefficient of the squared term in the quadratic equation.'}, 'b': {'type': 'integer', 'description': 'The coefficient of the linear term in the quadratic equation.'}, 'c': {'type': 'integer', 'description': 'The constant term in the quadratic equation.'}, 'root_type': {'type': 'string', 'description': "The type of roots to return: 'real' for real roots, 'all' for both real and complex roots. Default value is 'real'."}}, 'required': ['a', 'b', 'c']}}]


user: Find all the roots of a quadratic equation given coefficients a = 3, b = -11, and c = -4.

Available functions:
[{"name": "solve_quadratic", "description": "Solve a quadratic equation given coefficients a, b, and c. If optional 'root_type' is 'real', the function will only return real roots. If not specified, function may return complex roots.", "parameters": {"type": "dict", "properties": {"a": {"type": "integer", "description": "The coefficient of the squared term in the quadratic equation."}, "b": {"type": "integer", "description": "The coefficient of the linear term in the quadratic equation."}, "c": {"type": "integer", "description": "The constant term in the quadratic equation."}, "root_type": {"type": "string", "description": "The type of roots to return: 'real' for real roots, 'all' for both real and complex roots. Default value is 'real'."}}, "required": ["a", "b", "c"]}}]

Ground truth: [{"solve_quadratic": {"a": [3], "b": [-11], "c": [-4], "root_type": ["all"]}}]
system: 
You are an expert in composing functions. You are given a question and a set of possible functions.
Based on the question, you will need to make one or more function/tool calls to achieve the purpose.
If none of the function can be used, point it out. If the given question lacks the parameters required by the function,
also point it out. You should only return the function call in tools call sections.

If you decide to invoke any of the function(s), you MUST put it in the format of [func_name1(params_name1=params_value1, params_name2=params_value2...), func_name2(params)]

You SHOULD NOT include any other text in the response.

Here is a list of functions in JSON format that you can invoke.

[{'name': 'solve_quadratic', 'description': 'Find the roots of a quadratic equation. Returns both roots. Note that the provided function is in Python 3 syntax.', 'parameters': {'type': 'dict', 'properties': {'a': {'type': 'integer', 'description': 'Coefficient of x².'}, 'b': {'type': 'integer', 'description': 'Coefficient of x.'}, 'c': {'type': 'integer', 'description': 'Constant term.'}}, 'required': ['a', 'b', 'c']}}]


user: What are the roots of the quadratic equation where a=2, b=5 and c=3 ?

Available functions:
[{"name": "solve_quadratic", "description": "Find the roots of a quadratic equation. Returns both roots.", "parameters": {"type": "dict", "properties": {"a": {"type": "integer", "description": "Coefficient of x\u00b2."}, "b": {"type": "integer", "description": "Coefficient of x."}, "c": {"type": "integer", "description": "Constant term."}}, "required": ["a", "b", "c"]}}]

Ground truth: [{"solve_quadratic": {"a": [2], "b": [5], "c": [3]}}]
system: 
You are an expert in composing functions. You are given a question and a set of possible functions.
Based on the question, you will need to make one or more function/tool calls to achieve the purpose.
If none of the function can be used, point it out. If the given question lacks the parameters required by the function,
also point it out. You should only return the function call in tools call sections.

If you decide to invoke any of the function(s), you MUST put it in the format of [func_name1(params_name1=params_value1, params_name2=params_value2...), func_name2(params)]

You SHOULD NOT include any other text in the response.

Here is a list of functions in JSON format that you can invoke.

[{'name': 'calculate_circumference', 'description': 'Calculates the circumference of a circle with a given radius. Note that the provided function is in Python 3 syntax.', 'parameters': {'type': 'dict', 'properties': {'radius': {'type': 'integer', 'description': 'The radius of the circle in the unit given.'}, 'unit': {'type': 'string', 'description': "The unit of measurement for the radius. Default is 'cm'."}}, 'required': ['radius']}}]


user: What is the circumference of a circle with a radius of 4 inches?

Available functions:
[{"name": "calculate_circumference", "description": "Calculates the circumference of a circle with a given radius.", "parameters": {"type": "dict", "properties": {"radius": {"type": "integer", "description": "The radius of the circle in the unit given."}, "unit": {"type": "string", "description": "The unit of measurement for the radius. Default is 'cm'."}}, "required": ["radius"]}}]

Ground truth: [{"calculate_circumference": {"radius": [4], "unit": ["inches", "in"]}}]
system: 
You are an expert in composing functions. You are given a question and a set of possible functions.
Based on the question, you will need to make one or more function/tool calls to achieve the purpose.
If none of the function can be used, point it out. If the given question lacks the parameters required by the function,
also point it out. You should only return the function call in tools call sections.

If you decide to invoke any of the function(s), you MUST put it in the format of [func_name1(params_name1=params_value1, params_name2=params_value2...), func_name2(params)]

You SHOULD NOT include any other text in the response.

Here is a list of functions in JSON format that you can invoke.

[{'name': 'geometry.area_circle', 'description': 'Calculate the area of a circle given the radius. Note that the provided function is in Python 3 syntax.', 'parameters': {'type': 'dict', 'properties': {'radius': {'type': 'integer', 'description': 'The radius of the circle.'}, 'units': {'type': 'string', 'description': "The units in which the radius is measured (defaults to 'meters')."}}, 'required': ['radius']}}]


user: What's the area of a circle with a radius of 10?

Available functions:
[{"name": "geometry.area_circle", "description": "Calculate the area of a circle given the radius.", "parameters": {"type": "dict", "properties": {"radius": {"type": "integer", "description": "The radius of the circle."}, "units": {"type": "string", "description": "The units in which the radius is measured (defaults to 'meters')."}}, "required": ["radius"]}}]

Ground truth: [{"geometry.area_circle": {"radius": [10], "units": ["meters", ""]}}]
system: 
You are an expert in composing functions. You are given a question and a set of possible functions.
Based on the question, you will need to make one or more function/tool calls to achieve the purpose.
If none of the function can be used, point it out. If the given question lacks the parameters required by the function,
also point it out. You should only return the function call in tools call sections.

If you decide to invoke any of the function(s), you MUST put it in the format of [func_name1(params_name1=params_value1, params_name2=params_value2...), func_name2(params)]

You SHOULD NOT include any other text in the response.

Here is a list of functions in JSON format that you can invoke.

[{'name': 'geometry.calculate_area_circle', 'description': 'Calculate the area of a circle given its radius. Note that the provided function is in Python 3 syntax.', 'parameters': {'type': 'dict', 'properties': {'radius': {'type': 'integer', 'description': 'The radius of the circle.'}, 'unit': {'type': 'string', 'description': "The measurement unit of the radius (optional parameter, default is 'units')."}}, 'required': ['radius']}}]


user: Calculate the area of a circle with a radius of 5 units.

Available functions:
[{"name": "geometry.calculate_area_circle", "description": "Calculate the area of a circle given its radius.", "parameters": {"type": "dict", "properties": {"radius": {"type": "integer", "description": "The radius of the circle."}, "unit": {"type": "string", "description": "The measurement unit of the radius (optional parameter, default is 'units')."}}, "required": ["radius"]}}]

Ground truth: [{"geometry.calculate_area_circle": {"radius": [5], "unit": ["units", ""]}}]
system: 
You are an expert in composing functions. You are given a question and a set of possible functions.
Based on the question, you will need to make one or more function/tool calls to achieve the purpose.
If none of the function can be used, point it out. If the given question lacks the parameters required by the function,
also point it out. You should only return the function call in tools call sections.

If you decide to invoke any of the function(s), you MUST put it in the format of [func_name1(params_name1=params_value1, params_name2=params_value2...), func_name2(params)]

You SHOULD NOT include any other text in the response.

Here is a list of functions in JSON format that you can invoke.

[{'name': 'calculate_area', 'description': 'Calculate the area of a right-angled triangle given the lengths of its base and height. Note that the provided function is in Python 3 syntax.', 'parameters': {'type': 'dict', 'properties': {'base': {'type': 'integer', 'description': 'The length of the base of the right-angled triangle.'}, 'height': {'type': 'integer', 'description': 'The height of the right-angled triangle.'}, 'unit': {'type': 'string', 'description': "The unit of measure used. Defaults to 'cm'."}}, 'required': ['base', 'height']}}]


user: Calculate the area of a right-angled triangle given the lengths of its base and height as 6cm and 10cm.

Available functions:
[{"name": "calculate_area", "description": "Calculate the area of a right-angled triangle given the lengths of its base and height.", "parameters": {"type": "dict", "properties": {"base": {"type": "integer", "description": "The length of the base of the right-angled triangle."}, "height": {"type": "integer", "description": "The height of the right-angled triangle."}, "unit": {"type": "string", "description": "The unit of measure used. Defaults to 'cm'."}}, "required": ["base", "height"]}}]

Ground truth: [{"calculate_area": {"base": [6], "height": [10], "unit": ["cm", ""]}}]
system: 
You are an expert in composing functions. You are given a question and a set of possible functions.
Based on the question, you will need to make one or more function/tool calls to achieve the purpose.
If none of the function can be used, point it out. If the given question lacks the parameters required by the function,
also point it out. You should only return the function call in tools call sections.

If you decide to invoke any of the function(s), you MUST put it in the format of [func_name1(params_name1=params_value1, params_name2=params_value2...), func_name2(params)]

You SHOULD NOT include any other text in the response.

Here is a list of functions in JSON format that you can invoke.

[{'name': 'calculate_triangle_area', 'description': 'Calculate the area of a triangle using its base and height. Note that the provided function is in Python 3 syntax.', 'parameters': {'type': 'dict', 'properties': {'base': {'type': 'integer', 'description': 'The length of the base of the triangle.'}, 'height': {'type': 'integer', 'description': 'The height of the triangle from the base.'}}, 'required': ['base', 'height']}}]


user: What is the area of a triangle with base of 10 units and height of 5 units?

Available functions:
[{"name": "calculate_triangle_area", "description": "Calculate the area of a triangle using its base and height.", "parameters": {"type": "dict", "properties": {"base": {"type": "integer", "description": "The length of the base of the triangle."}, "height": {"type": "integer", "description": "The height of the triangle from the base."}}, "required": ["base", "height"]}}]

Ground truth: [{"calculate_triangle_area": {"base": [10], "height": [5]}}]
system: 
You are an expert in composing functions. You are given a question and a set of possible functions.
Based on the question, you will need to make one or more function/tool calls to achieve the purpose.
If none of the function can be used, point it out. If the given question lacks the parameters required by the function,
also point it out. You should only return the function call in tools call sections.

If you decide to invoke any of the function(s), you MUST put it in the format of [func_name1(params_name1=params_value1, params_name2=params_value2...), func_name2(params)]

You SHOULD NOT include any other text in the response.

Here is a list of functions in JSON format that you can invoke.

[{'name': 'geometry.circumference', 'description': 'Calculate the circumference of a circle given the radius. Note that the provided function is in Python 3 syntax.', 'parameters': {'type': 'dict', 'properties': {'radius': {'type': 'integer', 'description': 'The radius of the circle.'}, 'units': {'type': 'string', 'description': "Units for the output circumference measurement. Default is 'cm'."}}, 'required': ['radius']}}]


user: Calculate the circumference of a circle with radius 3

Available functions:
[{"name": "geometry.circumference", "description": "Calculate the circumference of a circle given the radius.", "parameters": {"type": "dict", "properties": {"radius": {"type": "integer", "description": "The radius of the circle."}, "units": {"type": "string", "description": "Units for the output circumference measurement. Default is 'cm'."}}, "required": ["radius"]}}]

Ground truth: [{"geometry.circumference": {"radius": [3], "units": ["cm", ""]}}]
system: 
You are an expert in composing functions. You are given a question and a set of possible functions.
Based on the question, you will need to make one or more function/tool calls to achieve the purpose.
If none of the function can be used, point it out. If the given question lacks the parameters required by the function,
also point it out. You should only return the function call in tools call sections.

If you decide to invoke any of the function(s), you MUST put it in the format of [func_name1(params_name1=params_value1, params_name2=params_value2...), func_name2(params)]

You SHOULD NOT include any other text in the response.

Here is a list of functions in JSON format that you can invoke.

[{'name': 'calculate_area_under_curve', 'description': 'Calculate the area under a mathematical function within a given interval. Note that the provided function is in Python 3 syntax.', 'parameters': {'type': 'dict', 'properties': {'function': {'type': 'string', 'description': 'The mathematical function as a string.'}, 'interval': {'type': 'array', 'items': {'type': 'float'}, 'description': 'An array that defines the interval to calculate the area under the curve from the start to the end point.'}, 'method': {'type': 'string', 'description': "The numerical method to approximate the area under the curve. The default value is 'trapezoidal'."}}, 'required': ['function', 'interval']}}]


user: Calculate the area under the curve y=x^2 from x=1 to x=3.

Available functions:
[{"name": "calculate_area_under_curve", "description": "Calculate the area under a mathematical function within a given interval.", "parameters": {"type": "dict", "properties": {"function": {"type": "string", "description": "The mathematical function as a string."}, "interval": {"type": "array", "items": {"type": "float"}, "description": "An array that defines the interval to calculate the area under the curve from the start to the end point."}, "method": {"type": "string", "description": "The numerical method to approximate the area under the curve. The default value is 'trapezoidal'."}}, "required": ["function", "interval"]}}]

Ground truth: [{"calculate_area_under_curve": {"function": ["x**2", "lambda x: x**2", "y=x**2"], "interval": [[1.0, 3.0]], "method": ["", "trapezoidal"]}}]
system: 
You are an expert in composing functions. You are given a question and a set of possible functions.
Based on the question, you will need to make one or more function/tool calls to achieve the purpose.
If none of the function can be used, point it out. If the given question lacks the parameters required by the function,
also point it out. You should only return the function call in tools call sections.

If you decide to invoke any of the function(s), you MUST put it in the format of [func_name1(params_name1=params_value1, params_name2=params_value2...), func_name2(params)]

You SHOULD NOT include any other text in the response.

Here is a list of functions in JSON format that you can invoke.

[{'name': 'calculate_derivative', 'description': 'Calculate the derivative of a polynomial function. Note that the provided function is in Python 3 syntax.', 'parameters': {'type': 'dict', 'properties': {'function': {'type': 'string', 'description': 'The polynomial function.'}, 'x_value': {'type': 'float', 'description': 'The x-value at which the derivative is calculated. Optional, default to 0.00.'}}, 'required': ['function']}}]


user: Calculate the derivative of the function 3x^2 + 2x - 1.

Available functions:
[{"name": "calculate_derivative", "description": "Calculate the derivative of a polynomial function.", "parameters": {"type": "dict", "properties": {"function": {"type": "string", "description": "The polynomial function."}, "x_value": {"type": "float", "description": "The x-value at which the derivative is calculated. Optional, default to 0.00."}}, "required": ["function"]}}]

Ground truth: [{"calculate_derivative": {"function": ["3x**2 + 2x - 1", "lambda x: 3x**2 + 2x - 1"], "x_value": ["", 0.0]}}]
system: 
You are an expert in composing functions. You are given a question and a set of possible functions.
Based on the question, you will need to make one or more function/tool calls to achieve the purpose.
If none of the function can be used, point it out. If the given question lacks the parameters required by the function,
also point it out. You should only return the function call in tools call sections.

If you decide to invoke any of the function(s), you MUST put it in the format of [func_name1(params_name1=params_value1, params_name2=params_value2...), func_name2(params)]

You SHOULD NOT include any other text in the response.

Here is a list of functions in JSON format that you can invoke.

[{'name': 'integrate', 'description': 'Calculate the area under a curve for a specified function between two x values. Note that the provided function is in Python 3 syntax.', 'parameters': {'type': 'dict', 'properties': {'function': {'type': 'string', 'description': "The function to integrate, represented as a string. For example, 'x^3'"}, 'start_x': {'type': 'integer', 'description': 'The starting x-value to integrate over.'}, 'end_x': {'type': 'integer', 'description': 'The ending x-value to integrate over.'}, 'method': {'type': 'string', 'description': "The method of numerical integration to use. Choices are 'trapezoid' or 'simpson'. Default is 'trapezoid'."}}, 'required': ['function', 'start_x', 'end_x']}}]


user: Calculate the area under the curve from x = -2 to x = 3 for the function y = x^3 using simpson method.

Available functions:
[{"name": "integrate", "description": "Calculate the area under a curve for a specified function between two x values.", "parameters": {"type": "dict", "properties": {"function": {"type": "string", "description": "The function to integrate, represented as a string. For example, 'x^3'"}, "start_x": {"type": "integer", "description": "The starting x-value to integrate over."}, "end_x": {"type": "integer", "description": "The ending x-value to integrate over."}, "method": {"type": "string", "description": "The method of numerical integration to use. Choices are 'trapezoid' or 'simpson'. Default is 'trapezoid'."}}, "required": ["function", "start_x", "end_x"]}}]

Ground truth: [{"integrate": {"function": ["x**3", "lambda x: x**3"], "start_x": [-2], "end_x": [3], "method": ["simpson"]}}]
system: 
You are an expert in composing functions. You are given a question and a set of possible functions.
Based on the question, you will need to make one or more function/tool calls to achieve the purpose.
If none of the function can be used, point it out. If the given question lacks the parameters required by the function,
also point it out. You should only return the function call in tools call sections.

If you decide to invoke any of the function(s), you MUST put it in the format of [func_name1(params_name1=params_value1, params_name2=params_value2...), func_name2(params)]

You SHOULD NOT include any other text in the response.

Here is a list of functions in JSON format that you can invoke.

[{'name': 'calculus.derivative', 'description': 'Compute the derivative of a function at a specific value. Note that the provided function is in Python 3 syntax.', 'parameters': {'type': 'dict', 'properties': {'function': {'type': 'string', 'description': 'The function to calculate the derivative of.'}, 'value': {'type': 'integer', 'description': 'The value where the derivative needs to be calculated at.'}, 'function_variable': {'type': 'string', 'description': "The variable present in the function, for instance x or y, etc. Default is 'x'."}}, 'required': ['function', 'value']}}]


user: Calculate the derivative of the function 2x^2 at x = 1.

Available functions:
[{"name": "calculus.derivative", "description": "Compute the derivative of a function at a specific value.", "parameters": {"type": "dict", "properties": {"function": {"type": "string", "description": "The function to calculate the derivative of."}, "value": {"type": "integer", "description": "The value where the derivative needs to be calculated at."}, "function_variable": {"type": "string", "description": "The variable present in the function, for instance x or y, etc. Default is 'x'."}}, "required": ["function", "value"]}}]

Ground truth: [{"calculus.derivative": {"function": ["2x**2", "lambda x: 2x**2"], "value": [1], "function_variable": ["x", ""]}}]
system: 
You are an expert in composing functions. You are given a question and a set of possible functions.
Based on the question, you will need to make one or more function/tool calls to achieve the purpose.
If none of the function can be used, point it out. If the given question lacks the parameters required by the function,
also point it out. You should only return the function call in tools call sections.

If you decide to invoke any of the function(s), you MUST put it in the format of [func_name1(params_name1=params_value1, params_name2=params_value2...), func_name2(params)]

You SHOULD NOT include any other text in the response.

Here is a list of functions in JSON format that you can invoke.

[{'name': 'get_prime_factors', 'description': 'Function to retrieve prime factors of a number. Note that the provided function is in Python 3 syntax.', 'parameters': {'type': 'dict', 'properties': {'number': {'type': 'integer', 'description': 'Number for which prime factors need to be calculated'}, 'formatted': {'type': 'boolean', 'description': 'Return formatted string if true, array if false. Default is true.'}}, 'required': ['number', 'formatted']}}]


user: Find the prime factors of 450

Available functions:
[{"name": "get_prime_factors", "description": "Function to retrieve prime factors of a number.", "parameters": {"type": "dict", "properties": {"number": {"type": "integer", "description": "Number for which prime factors need to be calculated"}, "formatted": {"type": "boolean", "description": "Return formatted string if true, array if false. Default is true."}}, "required": ["number", "formatted"]}}]

Ground truth: [{"get_prime_factors": {"number": [450], "formatted": [true, ""]}}]
system: 
You are an expert in composing functions. You are given a question and a set of possible functions.
Based on the question, you will need to make one or more function/tool calls to achieve the purpose.
If none of the function can be used, point it out. If the given question lacks the parameters required by the function,
also point it out. You should only return the function call in tools call sections.

If you decide to invoke any of the function(s), you MUST put it in the format of [func_name1(params_name1=params_value1, params_name2=params_value2...), func_name2(params)]

You SHOULD NOT include any other text in the response.

Here is a list of functions in JSON format that you can invoke.

[{'name': 'number_analysis.prime_factors', 'description': 'Compute the prime factors of a number. Note that the provided function is in Python 3 syntax.', 'parameters': {'type': 'dict', 'properties': {'number': {'type': 'integer', 'description': 'The number to be factored.'}}, 'required': ['number']}}]


user: Find the prime factors of the number 123456.

Available functions:
[{"name": "number_analysis.prime_factors", "description": "Compute the prime factors of a number.", "parameters": {"type": "dict", "properties": {"number": {"type": "integer", "description": "The number to be factored."}}, "required": ["number"]}}]

Ground truth: [{"number_analysis.prime_factors": {"number": [123456]}}]
system: 
You are an expert in composing functions. You are given a question and a set of possible functions.
Based on the question, you will need to make one or more function/tool calls to achieve the purpose.
If none of the function can be used, point it out. If the given question lacks the parameters required by the function,
also point it out. You should only return the function call in tools call sections.

If you decide to invoke any of the function(s), you MUST put it in the format of [func_name1(params_name1=params_value1, params_name2=params_value2...), func_name2(params)]

You SHOULD NOT include any other text in the response.

Here is a list of functions in JSON format that you can invoke.

[{'name': 'math.gcd', 'description': 'Compute the greatest common divisor of two numbers Note that the provided function is in Python 3 syntax.', 'parameters': {'type': 'dict', 'properties': {'num1': {'type': 'integer', 'description': 'The first number.'}, 'num2': {'type': 'integer', 'description': 'The second number.'}}, 'required': ['num1', 'num2']}}]


user: Calculate the greatest common divisor of two numbers: 40 and 50

Available functions:
[{"name": "math.gcd", "description": "Compute the greatest common divisor of two numbers", "parameters": {"type": "dict", "properties": {"num1": {"type": "integer", "description": "The first number."}, "num2": {"type": "integer", "description": "The second number."}}, "required": ["num1", "num2"]}}]

Ground truth: [{"math.gcd": {"num1": [40], "num2": [50]}}]
system: 
You are an expert in composing functions. You are given a question and a set of possible functions.
Based on the question, you will need to make one or more function/tool calls to achieve the purpose.
If none of the function can be used, point it out. If the given question lacks the parameters required by the function,
also point it out. You should only return the function call in tools call sections.

If you decide to invoke any of the function(s), you MUST put it in the format of [func_name1(params_name1=params_value1, params_name2=params_value2...), func_name2(params)]

You SHOULD NOT include any other text in the response.

Here is a list of functions in JSON format that you can invoke.

[{'name': 'math.hcf', 'description': 'Calculate the highest common factor of two numbers. Note that the provided function is in Python 3 syntax.', 'parameters': {'type': 'dict', 'properties': {'number1': {'type': 'integer', 'description': 'First number.'}, 'number2': {'type': 'integer', 'description': 'Second number.'}}, 'required': ['number1', 'number2']}}]


user: Find the highest common factor of 36 and 24.

Available functions:
[{"name": "math.hcf", "description": "Calculate the highest common factor of two numbers.", "parameters": {"type": "dict", "properties": {"number1": {"type": "integer", "description": "First number."}, "number2": {"type": "integer", "description": "Second number."}}, "required": ["number1", "number2"]}}]

Ground truth: [{"math.hcf": {"number1": [36], "number2": [24]}}]
system: 
You are an expert in composing functions. You are given a question and a set of possible functions.
Based on the question, you will need to make one or more function/tool calls to achieve the purpose.
If none of the function can be used, point it out. If the given question lacks the parameters required by the function,
also point it out. You should only return the function call in tools call sections.

If you decide to invoke any of the function(s), you MUST put it in the format of [func_name1(params_name1=params_value1, params_name2=params_value2...), func_name2(params)]

You SHOULD NOT include any other text in the response.

Here is a list of functions in JSON format that you can invoke.

[{'name': 'number_theory.gcd', 'description': 'Compute the greatest common divisor of two given integers. Note that the provided function is in Python 3 syntax.', 'parameters': {'type': 'dict', 'properties': {'number1': {'type': 'integer', 'description': 'The first integer.'}, 'number2': {'type': 'integer', 'description': 'The second integer.'}}, 'required': ['number1', 'number2']}}]


user: Find the Greatest Common Divisor (GCD) of two numbers, say 36 and 48.

Available functions:
[{"name": "number_theory.gcd", "description": "Compute the greatest common divisor of two given integers.", "parameters": {"type": "dict", "properties": {"number1": {"type": "integer", "description": "The first integer."}, "number2": {"type": "integer", "description": "The second integer."}}, "required": ["number1", "number2"]}}]

Ground truth: [{"number_theory.gcd": {"number1": [36], "number2": [48]}}]
system: 
You are an expert in composing functions. You are given a question and a set of possible functions.
Based on the question, you will need to make one or more function/tool calls to achieve the purpose.
If none of the function can be used, point it out. If the given question lacks the parameters required by the function,
also point it out. You should only return the function call in tools call sections.

If you decide to invoke any of the function(s), you MUST put it in the format of [func_name1(params_name1=params_value1, params_name2=params_value2...), func_name2(params)]

You SHOULD NOT include any other text in the response.

Here is a list of functions in JSON format that you can invoke.

[{'name': 'math.gcd', 'description': 'Calculate the greatest common divisor (gcd) of the two integers. Note that the provided function is in Python 3 syntax.', 'parameters': {'type': 'dict', 'properties': {'num1': {'type': 'integer', 'description': 'The first number.'}, 'num2': {'type': 'integer', 'description': 'The second number.'}}, 'required': ['num1', 'num2']}}]


user: Calculate the greatest common divisor of two given numbers, for example 12 and 15.

Available functions:
[{"name": "math.gcd", "description": "Calculate the greatest common divisor (gcd) of the two integers.", "parameters": {"type": "dict", "properties": {"num1": {"type": "integer", "description": "The first number."}, "num2": {"type": "integer", "description": "The second number."}}, "required": ["num1", "num2"]}}]

Ground truth: [{"math.gcd": {"num1": [12], "num2": [15]}}]
system: 
You are an expert in composing functions. You are given a question and a set of possible functions.
Based on the question, you will need to make one or more function/tool calls to achieve the purpose.
If none of the function can be used, point it out. If the given question lacks the parameters required by the function,
also point it out. You should only return the function call in tools call sections.

If you decide to invoke any of the function(s), you MUST put it in the format of [func_name1(params_name1=params_value1, params_name2=params_value2...), func_name2(params)]

You SHOULD NOT include any other text in the response.

Here is a list of functions in JSON format that you can invoke.

[{'name': 'prime_factorize', 'description': 'Calculate the prime factorization of a given integer. Note that the provided function is in Python 3 syntax.', 'parameters': {'type': 'dict', 'properties': {'number': {'type': 'integer', 'description': 'The number for which to calculate the prime factorization.'}, 'return_type': {'type': 'string', 'description': "Determines the format of the returned prime factorization. Can be 'list' for a list of all prime factors or 'dictionary' for a count of each prime factor. Default is 'list'."}}, 'required': ['number']}}]


user: What is the prime factorization of the number 60? Return them in the form of dictionary

Available functions:
[{"name": "prime_factorize", "description": "Calculate the prime factorization of a given integer.", "parameters": {"type": "dict", "properties": {"number": {"type": "integer", "description": "The number for which to calculate the prime factorization."}, "return_type": {"type": "string", "description": "Determines the format of the returned prime factorization. Can be 'list' for a list of all prime factors or 'dictionary' for a count of each prime factor. Default is 'list'."}}, "required": ["number"]}}]

Ground truth: [{"prime_factorize": {"number": [60], "return_type": ["dictionary"]}}]
system: 
You are an expert in composing functions. You are given a question and a set of possible functions.
Based on the question, you will need to make one or more function/tool calls to achieve the purpose.
If none of the function can be used, point it out. If the given question lacks the parameters required by the function,
also point it out. You should only return the function call in tools call sections.

If you decide to invoke any of the function(s), you MUST put it in the format of [func_name1(params_name1=params_value1, params_name2=params_value2...), func_name2(params)]

You SHOULD NOT include any other text in the response.

Here is a list of functions in JSON format that you can invoke.

[{'name': 'math.gcd', 'description': 'Calculate the greatest common divisor of two integers. Note that the provided function is in Python 3 syntax.', 'parameters': {'type': 'dict', 'properties': {'num1': {'type': 'integer', 'description': 'First number.'}, 'num2': {'type': 'integer', 'description': 'Second number.'}}, 'required': ['num1', 'num2']}}]


user: Find the greatest common divisor (GCD) of 12 and 18

Available functions:
[{"name": "math.gcd", "description": "Calculate the greatest common divisor of two integers.", "parameters": {"type": "dict", "properties": {"num1": {"type": "integer", "description": "First number."}, "num2": {"type": "integer", "description": "Second number."}}, "required": ["num1", "num2"]}}]

Ground truth: [{"math.gcd": {"num1": [12], "num2": [18]}}]
system: 
You are an expert in composing functions. You are given a question and a set of possible functions.
Based on the question, you will need to make one or more function/tool calls to achieve the purpose.
If none of the function can be used, point it out. If the given question lacks the parameters required by the function,
also point it out. You should only return the function call in tools call sections.

If you decide to invoke any of the function(s), you MUST put it in the format of [func_name1(params_name1=params_value1, params_name2=params_value2...), func_name2(params)]

You SHOULD NOT include any other text in the response.

Here is a list of functions in JSON format that you can invoke.

[{'name': 'calculate_final_velocity', 'description': "Calculate the final velocity of a free falling object given the height it's dropped from, the initial velocity and acceleration due to gravity. Ignore air resistance. Note that the provided function is in Python 3 syntax.", 'parameters': {'type': 'dict', 'properties': {'height': {'type': 'integer', 'description': 'The height the object is dropped from, in meters.'}, 'initial_velocity': {'type': 'integer', 'description': 'The initial velocity of the object in m/s. Default is zero.'}, 'gravity': {'type': 'float', 'description': "Acceleration due to gravity. Default value is 9.81 m/s^2, earth's gravity."}}, 'required': ['height']}}]


user: Calculate the final velocity of an object falling from a 150 meter building, assuming initial velocity is zero.

Available functions:
[{"name": "calculate_final_velocity", "description": "Calculate the final velocity of a free falling object given the height it's dropped from, the initial velocity and acceleration due to gravity. Ignore air resistance.", "parameters": {"type": "dict", "properties": {"height": {"type": "integer", "description": "The height the object is dropped from, in meters."}, "initial_velocity": {"type": "integer", "description": "The initial velocity of the object in m/s. Default is zero."}, "gravity": {"type": "float", "description": "Acceleration due to gravity. Default value is 9.81 m/s^2, earth's gravity."}}, "required": ["height"]}}]

Ground truth: [{"calculate_final_velocity": {"height": [150], "initial_velocity": [0, ""], "gravity": [9.81, ""]}}]
system: 
You are an expert in composing functions. You are given a question and a set of possible functions.
Based on the question, you will need to make one or more function/tool calls to achieve the purpose.
If none of the function can be used, point it out. If the given question lacks the parameters required by the function,
also point it out. You should only return the function call in tools call sections.

If you decide to invoke any of the function(s), you MUST put it in the format of [func_name1(params_name1=params_value1, params_name2=params_value2...), func_name2(params)]

You SHOULD NOT include any other text in the response.

Here is a list of functions in JSON format that you can invoke.

[{'name': 'calculate_velocity', 'description': 'Calculate the velocity for a certain distance travelled within a specific duration. Note that the provided function is in Python 3 syntax.', 'parameters': {'type': 'dict', 'properties': {'distance': {'type': 'integer', 'description': 'The distance travelled by the object, typically in kilometers.'}, 'duration': {'type': 'integer', 'description': 'The duration of the journey, typically in hours.'}, 'unit': {'type': 'string', 'description': 'Optional parameter. The unit to return the velocity in. If not provided, the default is km/h.'}}, 'required': ['distance', 'duration']}}]


user: Calculate the velocity of a car that travels a distance of 50 kilometers for a duration of 2 hours?

Available functions:
[{"name": "calculate_velocity", "description": "Calculate the velocity for a certain distance travelled within a specific duration.", "parameters": {"type": "dict", "properties": {"distance": {"type": "integer", "description": "The distance travelled by the object, typically in kilometers."}, "duration": {"type": "integer", "description": "The duration of the journey, typically in hours."}, "unit": {"type": "string", "description": "Optional parameter. The unit to return the velocity in. If not provided, the default is km/h."}}, "required": ["distance", "duration"]}}]

Ground truth: [{"calculate_velocity": {"distance": [50], "duration": [2], "unit": ["", "km/h"]}}]
system: 
You are an expert in composing functions. You are given a question and a set of possible functions.
Based on the question, you will need to make one or more function/tool calls to achieve the purpose.
If none of the function can be used, point it out. If the given question lacks the parameters required by the function,
also point it out. You should only return the function call in tools call sections.

If you decide to invoke any of the function(s), you MUST put it in the format of [func_name1(params_name1=params_value1, params_name2=params_value2...), func_name2(params)]

You SHOULD NOT include any other text in the response.

Here is a list of functions in JSON format that you can invoke.

[{'name': 'final_velocity', 'description': 'Calculate the final velocity of an object given its initial velocity, acceleration, and time. Note that the provided function is in Python 3 syntax.', 'parameters': {'type': 'dict', 'properties': {'initial_velocity': {'type': 'integer', 'description': 'The initial velocity of the object in meters/second.'}, 'acceleration': {'type': 'integer', 'description': 'The acceleration of the object in meters/second^2.'}, 'time': {'type': 'integer', 'description': 'The time over which the acceleration is applied in seconds.'}}, 'required': ['initial_velocity', 'acceleration', 'time']}}]


user: Calculate the final velocity of a vehicle after accelerating at 2 meters/second^2 for a duration of 5 seconds, starting from a speed of 10 meters/second.

Available functions:
[{"name": "final_velocity", "description": "Calculate the final velocity of an object given its initial velocity, acceleration, and time.", "parameters": {"type": "dict", "properties": {"initial_velocity": {"type": "integer", "description": "The initial velocity of the object in meters/second."}, "acceleration": {"type": "integer", "description": "The acceleration of the object in meters/second^2."}, "time": {"type": "integer", "description": "The time over which the acceleration is applied in seconds."}}, "required": ["initial_velocity", "acceleration", "time"]}}]

Ground truth: [{"final_velocity": {"initial_velocity": [10], "acceleration": [2], "time": [5]}}]
system: 
You are an expert in composing functions. You are given a question and a set of possible functions.
Based on the question, you will need to make one or more function/tool calls to achieve the purpose.
If none of the function can be used, point it out. If the given question lacks the parameters required by the function,
also point it out. You should only return the function call in tools call sections.

If you decide to invoke any of the function(s), you MUST put it in the format of [func_name1(params_name1=params_value1, params_name2=params_value2...), func_name2(params)]

You SHOULD NOT include any other text in the response.

Here is a list of functions in JSON format that you can invoke.

[{'name': 'calculate_displacement', 'description': 'Calculates the displacement of an object in motion given initial velocity, time, and acceleration. Note that the provided function is in Python 3 syntax.', 'parameters': {'type': 'dict', 'properties': {'initial_velocity': {'type': 'integer', 'description': 'The initial velocity of the object in m/s.'}, 'time': {'type': 'integer', 'description': 'The time in seconds that the object has been in motion.'}, 'acceleration': {'type': 'float', 'description': 'The acceleration of the object in m/s^2.', 'default': 0}}, 'required': ['initial_velocity', 'time']}}]


user: Calculate the displacement of a car given the initial velocity of 10 and acceleeration of 9.8 within 5 seconds.

Available functions:
[{"name": "calculate_displacement", "description": "Calculates the displacement of an object in motion given initial velocity, time, and acceleration.", "parameters": {"type": "dict", "properties": {"initial_velocity": {"type": "integer", "description": "The initial velocity of the object in m/s."}, "time": {"type": "integer", "description": "The time in seconds that the object has been in motion."}, "acceleration": {"type": "float", "description": "The acceleration of the object in m/s^2.", "default": 0}}, "required": ["initial_velocity", "time"]}}]

Ground truth: [{"calculate_displacement": {"initial_velocity": [10], "time": [5], "acceleration": [9.8]}}]
system: 
You are an expert in composing functions. You are given a question and a set of possible functions.
Based on the question, you will need to make one or more function/tool calls to achieve the purpose.
If none of the function can be used, point it out. If the given question lacks the parameters required by the function,
also point it out. You should only return the function call in tools call sections.

If you decide to invoke any of the function(s), you MUST put it in the format of [func_name1(params_name1=params_value1, params_name2=params_value2...), func_name2(params)]

You SHOULD NOT include any other text in the response.

Here is a list of functions in JSON format that you can invoke.

[{'name': 'calculate_final_speed', 'description': 'Calculate the final speed of an object in free fall after a certain time, neglecting air resistance. The acceleration due to gravity is considered as -9.81 m/s^2 Note that the provided function is in Python 3 syntax.', 'parameters': {'type': 'dict', 'properties': {'initial_speed': {'type': 'integer', 'description': 'The initial speed of the object in m/s. Default is 0 for an object at rest.'}, 'time': {'type': 'integer', 'description': 'The time in seconds for which the object is in free fall.'}, 'gravity': {'type': 'float', 'description': 'The acceleration due to gravity. Default is -9.81 m/s^2.'}}, 'required': ['time']}}]


user: What is the final speed of an object dropped from rest after falling for 5 seconds if we neglect air resistance?

Available functions:
[{"name": "calculate_final_speed", "description": "Calculate the final speed of an object in free fall after a certain time, neglecting air resistance. The acceleration due to gravity is considered as -9.81 m/s^2", "parameters": {"type": "dict", "properties": {"initial_speed": {"type": "integer", "description": "The initial speed of the object in m/s. Default is 0 for an object at rest."}, "time": {"type": "integer", "description": "The time in seconds for which the object is in free fall."}, "gravity": {"type": "float", "description": "The acceleration due to gravity. Default is -9.81 m/s^2."}}, "required": ["time"]}}]

Ground truth: [{"calculate_final_speed": {"initial_speed": [0, ""], "time": [5], "gravity": [-9.81, ""]}}]