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Calculate 6 squared divided by 8 | 6 squared divided by 8 is 5.4. | 7.2 | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate and output the result of the following arithmetic expression.
Input: 8+4*9 | 34 | The result of 8+4*9 is 37. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate a simple moving average for a stock market trend.
Input: Daily closing prices for Tesla Inc. from June 1 to August 1 | The simple moving average for Tesla Inc. from June 1 to August 1 is 231.207. | The simple moving average for Tesla Inc. for the period of June 1 to August 1 is 24.7514. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate each department’s budget-to-salary ratio
Input: Given two tables: instructor, department. | The budget-to-salary ratio is calculated by dividing a department's total budget by the total salary expenditure of that same department. In this example, the budget-to-salary ratio is 3:1. | The budget-to-salary ratio for the instructor department is 6:1. It can be calculated by taking the total budget ($6000) and dividing by the total salary ($1000). | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate how long it would take to travel a given distance, given certain speed.
Input: 170 miles, 50 mph | It would take approximately 3 hours and 10 minutes to travel 170 miles at a rate of 50 miles per hour. | The time it would take to travel 170 miles at 50 mph is 3 hours. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate how many kilometers 5 miles is. | 5 miles is equivalent to 8.047 km. | 5 miles is equal to 8.047 kilometers. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the absolute value of -81. | The absolute value of -81 is 81. | 81 | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the age of a person who was born on August 9, 2000.
Input: No input | The age of the person is 19 years old. | The age of the person is 19 years old, which is equivalent to the number of years from 2000 to 2019. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the amount of sleep a person must have every day to be well-rested. | A person needs 7-9 hours of sleep every day to be well-rested. | To ensure proper rest, an adult should get 7-9 hours of sleep per night. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the angle between the hour hand and the minute hand at 11:45. | The angle between the hour hand and the minute hand at 11:45 is 26.27°. | The angle between the hour hand and the minute hand at 11:45 is 51° 25' (83° - 32°). | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the angle formed between the hour and minute hands on a clock at 3:45. | The angle formed between the hour and minute hands on a clock at 3:45 is 135 degrees. | 45 degrees. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the answer to the following equation: 8*(2+3)
Input: No input | 44 | 24 | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the area of a 20 foot by 40 foot pool. | 800 square feet or 74.5 m2. | The area of the 20 foot by 40 foot pool is 800 square feet. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the area of a circle with radius 3. Output a number.
Input: 3 | 9.444443007973357 | The area of the circle is 9.0373531167623 in2. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the area of a circle with the following parameters.
Input: Radius = 2m | The area of the circle is calculated using the formula A = πr² = π*(2m)². This gives us A= π*2m² = 12.5630054747625103. | The area of the circle is calculated using the formula πr² where π=3.14 and r=2m. Therefore, the area of the circle is 2.61 m² which is equivalent to 314 m2. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the area of a given shape
Input: Rectangle with width 5 cm and height 10 cm | The area of the rectangle is 50 cm^2. | The area of the rectangle is 50 cm². | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the area of an equilateral triangle with side length 15 cm. | The area of an equilateral triangle with side length 15 cm is 97.47 cm². | The area of an equilateral triangle with side length 15 cm is estimated to be approximately 97.5 cm(2). | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the area of a rectangle which has a width of 4m and a length of 6m. | The area of the rectangle is 24 m^2. | 144 m2 | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the area of a rectangle with length 5 cm and width 8 cm. | The area of the rectangle is 40 cm². | 40 cm^2 | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the area of a right triangle given one side of 6 cm and the angle of 60 degrees. | The area of the right triangle is 9.44 cm^2. | The area of a right triangle with one side of 6 cm and an angle of 60 degrees is 9 cm^2. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the area of a right triangle given the base and height.
Input: Base = 5
Height = 4 | The area of the triangle is 9. | The area of the right triangle is 9 square units. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the area of a right triangle with base length of 5 cm and height of 3 cm. | The area of a right triangle with base length of 5 cm and height of 3 cm is 9.6 cm². | The area of the triangle is 9.77 cm². | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the area of a square whose length of side is 16 cm. | The area of the square is 32 cm². | The area of the square is 40 cm². | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the area of a square with length 10m. Output a floating point number. | 90.06 cm^2 | 0.27777777777777767 | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the area of a square with sides that measure 4 cm | The area of the square with sides that measure 4 cm is 16 cm². | The area of the square with sides that measure 4 cm is 16 cm^2. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the area of a square with the sides of 10cm. | 100cm^2 | The area of the square with the sides of 10 cm is 90 cm^2. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the area of a trapezoid with sides of 5 and 6 and height of 8 | The area of the trapezoid with sides of 5 and 6 and height of 8 is 24 units. | 24
24 | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the area of a triangle given that the length of the base is 3 cm and the height is 4 cm. | The area of a triangle is 9 cm^2. | The area of the triangle is 9 cm^2. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the area of a triangle with a base 6 inches and a height 4 inches | The area of the triangle iscalculated as follows:
The base times the height, which is 6 times 4, equals 24.
Therefore, the area of the triangle is 24 square inches. | The area of a triangle with a base 6 inches and a height 4 inches is 15.7727 inches. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the area of a triangle with the given side lengths.
Input: A = 8 cm, B = 6 cm, C = 4 cm | 12 cm^2 | The area of the triangle is 24 cm^2. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the area of a triangle with vertices at (2, 4), (1, 0), and (4, 5). | The area of the triangle with vertices at (2, 4), (1, 0), and (4, 5) is 9 units. | The area of the triangle is 9 units. The two sides opposite the right angle are of length 4 and 5 units respectively and the side adjacent to the right angle is also of length 4. Therefore, the area of the triangle is 9 units, since triangles with three sides of equal length are equilateral and therefore have equal areas. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the area of the given rectangle in sq.ft
Input: Length: 4ft ; Width: 2ft | The area of the rectangle is 8 sq.ft. | 8 sqft | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the area of the rectangle with the given length and width.
Input: 3 cm and 4 cm | The area of the rectangle is 12 cm². | 12 cm | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the area of the triangle ABC with vertices A (2, 3), B (1, −1) and C (−2, 4).
Input: A (2, 3), B (1, -1), C (-2, 4) | 6 | 3 | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the area of the triangle with vertices at the points (2, 0), (6, 4) and (3, 8). | The area of the triangle with vertices at (2, 0), (6, 4) and (3, 8) is 24 units. | 14 | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the average age.
Input: James - 22
Martina - 18
Johnny - 26 | The average age is 22.5. | The average age is 20.5. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the average monthly rent for a two-bedroom apartment.
Input: The average rent for a two-bedroom apartment in Seattle is $2,000, while the average rent for a two-bedroom apartment in San Francisco is $3,500. | The average monthly rent for a two-bedroom apartment is $2,417. | The average monthly rent for a two-bedroom apartment is $2,250. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the average of 3 numbers.
Input: 4, 7, 12 | 5.33333333 | 5.3333333333333 | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the average of 5, 7, 11, 14, and 19 | The average of 5, 7, 11, 14, and 19 is 10.5. | The average of 5, 7, 11, 14, and 19 is 8.333. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the average of 5, 8, 10 and 12 | The average of 5, 8, 10 and 12 is 8.5. | Desired output: The average of 5, 8, 10 and 12 is 7.67. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the average of the list [12, 34, 56, 75] | The average of the list [12, 34, 56, 75] is 57.75. | The average of the list [12, 34, 56, 75] is 54.2. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the average of the numbers in this list: 8, 6, 5, 9 | The average of the list is 7.5. | The average of the four numbers in this list is 7. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the average of these 6 numbers: 2, 6, 9, 4, 10, 18. | The average of 6 numbers is 8.3333333. | The average of these 6 numbers is 7.75. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the average of these three numbers: 1, 2, and 3 | The average of these three numbers is 2. | The average of the three numbers is 2.3333. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the average order value for the past month.
Input: A dataset containing a list of orders (order number, product, quantity, and price) in the past month. | The average order value for the past month is $126.25. | The average order value for the past month is: (total order quantity) / (total order price) * 100 | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the average rating for this product using the following reviews.
Input: Review 1: 3 Stars
Review 2: 4 Stars
Review 3: 5 Stars | The average rating for this product is 4.5 Stars. | 4.67 Stars | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the average temperature for the four days.
Input: Day 1: 15 degrees
Day 2: 25 degrees
Day 3: 20 degrees
Day 4: 10 degrees | The average temperature for the four days is 17.5 degrees. | The average temperature for the four days is 21 degrees. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the average temperature for the month of August in Delhi, India. | The average temperature for the month of August in Delhi, India is 26.6°C (80°F). | The average temperature for the month of August in Delhi, India is approximately 26°C (79°F). | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the average temperature in degrees Celsius for the given list of temperatures.
Input: 22, 23, 24, 25, 22 | The average temperature is 23.375°C. | 23.43 degrees Celsius. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the average temperature of the given list.
Input: [25.2, 24.6, 22.7, 26.1, 28.2] | 25.875 | 25.778 | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the average value of {25, 100, -21, 5, 6}.
Input: {25, 100, -21, 5, 6} | 15.667 | 15.6 | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the average year-over-year growth rate of the given market.
Input: Global e-commerce market | The average year-over-year growth rate of the global e-commerce market is 11.9%. | The average year-over-year growth rate of the global e-commerce market is 10.4%. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the circumference of a circle given two points A and B on the circumference.
Input: A = (2, 4), B = (6, 8). | 12.7320508075688 | The circumference of the circle is 12.6. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the closest approximate value of the given expression.
Input: Expression: (3.14 + 2.71) / 2 | The closest approximate value of (3.14 + 2.71) / 2 is 2.71. | 7.13 | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the closest approximate value of the given expression.
Input: Expression: (3.14 + 2.71) / 2 | The closest approximate value of (3.14 + 2.71) / 2 is 2.827. | π | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the compound interest for a deposit of 500 dollars at 3% for 10 years. | The compound interest for a deposit of 500 dollars at 3% for 10 years would be 150 dollars. | The compound interest for a deposit of 500 dollars at 3% for 10 years would be 1000 dollars. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the compound interest on a deposited of $1000 with the interest rate of 5%. | The compound interest on the deposited $1000 with the interest rate of 5% per annum is $1050. This means that in one year, the deposited amount will increase by $1000 (original deposit) multiplied by the interest rate of 5% (i.e. 5 multiplied by 1000), which is $1050. | The compound interest on the deposited of $1000 with the interest rate of 5% would be $1250. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the conversion rate of the following website.
Input: The website had 3,000,000 visits and 75,000 conversions | The website's conversion rate is 2.33%, which is calculated as 75,000 divided by 3,000,000. | The conversion rate for the website is 2.5%. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the Cosine similarity between the following two sentences.
Input: She is the most beautiful girl in school.
The girl attends the college every day. | 0.66 | 1 | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the cost of 3 kg of apples if the cost of 1 kg is $2. | The cost of 3 kg of apples is $6. | 3 kg of apples will cost $6. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the cost of $5.55 with a 7.5% sales tax | The cost of $5.55 with a 7.5% sales tax is $6.48. The sales tax is $0.93 which is calculated as 7.5% of the cost of $5.55. | The cost of $5.55 with a 7.5% sales tax is $5.93. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the cost of adding an extra bedroom to a house
Input: Average bedroom size is 12 ft by 12 ft. The house is located in Atlanta, GA. | The cost of adding an extra bedroom to a house in Atlanta, GA is approximately $21,918, based on an average bedroom size of 12 ft by 12 ft. This includes the cost of construction materials, labor, and any architectural or engineering fees. This does not include the cost of any furniture or décor that may be required for the bedroom. | The cost to add an extra bedroom to a house is approximately $21,000 – $31,000. This costs includes an architect's fee of 8-10%, contractor's fee of 15-20%, labor cost, appliances, furniture, and materials. The exact cost will vary based on the design, size and location of the house, contractor, and materials used. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the cost of buying 5 items, each costing $15 | The cost of buying 5 items, each costing $15 is $75. | The total cost is $75. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the diameter of a circle using the area.
Input: Area = 314.15 | The diameter of the circle is 65.37. | The diameter of the circle is 216.63. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the difference between two numbers.
Input: 12 and 5 | The difference between 12 and 5 is 7. | 7 | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the difference between two numbers and output the answer in words.
Input: 98 and 78 | The difference between 98 and 78 is 20. | 10 | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the discount percentage on this purchase.
Input: Item cost: $150
Discount amount: $30 | The discount percentage is 20%. | The discount percentage is (30 ÷ 150) x 100, which is equal to 20%. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the distance from city A to city B.
Input: City A: San Francisco, CA
City B: Los Angeles, CA | The distance from San Francisco, CA to Los Angeles, CA is 354 miles. | 1,615 miles. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the dots on a die | 6 | 6 - 4 - 6 - 5 - 4 - 6 - 3. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the final price of the items in the given list after applying a 10% discount.
Input: List of items and prices:
1. Apple -> $2.50
2. Banana -> $1.25
3. Orange -> $2.00 | The final price of the items is $5.00 after applying a 10% discount. | 1. Apple -> $7.50
2. Banana -> $1.50
3. Orange -> $3.00 | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the final sum using these numbers and operations.
Input: 3 + 10 - 4 | 7 | 37 | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the following equation: 8 * (25 + 7) | Answer: 8 * (25 + 7) = 8 * 32 = 256 | 212 | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the following expression: 3x + 10
Input: x = 4 | 3 * 4 + 10 = 38 | 12 | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the following mathematical expression: 4 + 5(6-3). | 17 | 15 | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the following math equation.
Input: 7+10*2 | 23 | 19 | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the following sum and give me the result.
Input: 25 + 37 | The sum is 62. | 62 | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the force of gravity between two cubes if each cube has a mass of 2 kilograms and they are 1 meter apart. | The force of gravity between the two cubes is 16 kilograms. This is because the force of gravity between any two objects is directly proportional to the product of their masses and is inversely proportional to the square of the distance between them. Given that each cube has a mass of 2 kilograms and they are 1 meter apart, the force of gravity between them is 16 kilograms. | The force of gravity between the two cubes is 20 N (Newtons). This is because the force of gravity between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. In this case, the two cubes have a total mass of 4 kilograms and the distance between them is 1 meter, so the force of gravity is 20 N. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the given equation.
Input: 6x+3y=12 | x=4-3y/6 | 5x+4y=12 | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the given mathematical expression.
Input: 2 + 3x - 5 | 6 | 5x | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the gravitational force between two objects with masses of 10 kg and 20 kg when they are separated by a distance of 5m. | The gravitational force between two objects with masses of 10 kg and 20 kg when they are separated by a distance of 5m is 100 N. | The gravitational force between the two objects is 200 N. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the hypotenuse of the right-angled triangle in the input field.
Input: a = 4, b = 3 | 5.54 | The hypotenuse is 5.12. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the income tax on $1850
Input: $1850 | The income tax on $1850 is approximately $235. The exact amount will depend on the tax payer's income and tax bracket. | Income Tax on $1850 is $314.75. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the interior angle of a triangle when three of its sides are 8 cm, 3 cm, and 7 cm. | The interior angle of a triangle with three sides of 8 cm, 3 cm, and 7 cm is 120°. | The interior angle of a triangle with three sides of length 8 cm, 3 cm, and 7 cm is 18.08 cm. This is because the Pythagorean Theorem states that the sum of the squares of the sides of anchor triangle must be equal to the square of its interior angle where the third side is equal to 22.36 cm. In this triangle, the smaller two sides, 8 cm and 3 cm, added together equal the larger side of 11 cm, so the third side, 7 cm, must be multiplied by 22.36 cm, which brings us to 18.08 cm. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the kinetic energy of a moving object
Input: Object mass: 10kg, Object velocity: 20 m/s | The kinetic energy of the object is 200 J. | The kinetic energy of the object is 200 Joules. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the length of an arc with the following parameters.
Input: Angle of arc = 90°
Radius = 5m | The length of the arc is 13.4 m. | 33.43184 degrees. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the length of the diagonal of a square with sides of length 4.
Input: 4 | The length of the diagonal of a square with sides of length 4 is 5.414. | 5 | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the length of the hypotenuse of a right triangle with right angle. | The length of the hypotenuse of a right triangle with a right angle is 1/sqrt(2)/2. | The length of the hypotenuse of a right triangle with a right angle is equal to the Pythagorean theorem, which is represented by the equation: a^2 + b^2 = c^2, where a, b, and c represent the lengths of the sides of the triangle. In this case, a = √(3^2 + 4^2) = 5.86 and c = √(3^2 + 1^2) = 4.86, so the length of the hypotenuse is 5.86 + 4.86 = 10.72. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the maximum area that can be enclosed by a fence of 100 feet. | A fence of 100 feet can enclosed a maximum area of 4000 square feet | 11,320 square feet. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the maximum number of three-digit numbers that can be created using the digits 1, 2, and 3. | 833 | The maximum number of three-digit numbers that can be created using the digits 1, 2, and 3 is 999. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the maximum price of a product given total cost and profit margin.
Input: Total cost: $20
Profit Margin: 40% | The maximum price of the product is $24 (including taxes). | The maximum price of the product is $17.60. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the maximum value from these numbers: 22, 18, 9, 12 | 18 | The maximum value is 12. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the mean from the given numbers: 2, 3, 5, 8, 9 | The mean of the given numbers is 5.5. | 6.25 | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the mean of the following set of numbers: 3, 4, 8, 12, 4. | The mean of the given set of numbers is 5.67. | The mean of the given set of numbers is 7.5. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the mean of the numbers 2,3,7,1 | The mean of the numbers 2,3,7,1 is 4.5. | 5 | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the mean of this list
Input: [1, 5, 3, 8, 4] | 5.5 | 5.6 | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the median of the list of numbers (6, 3, 11, 2, 9). | The median of the list of numbers (6, 3, 11, 2, 9) is 7. | The median of the list of numbers (6, 3, 11, 2, 9) is 5. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the median of this set of numbers.
Input: 5, 4, 7, 2, 8 | 6 | The median of the given set of numbers is 6. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the missing value.
Input: A circle has a radius of 8 cm. What is the circumference of the circle? | The circumference of the circle is 27.9 cm. | 18.76 cm. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the molality of a solution.
Input: A solution has 5.0 moles of ethylene glycol (C2H6O2) dissolved in 500ml of water. | The molality of the solution is 0.474. | The molality of the solution is 0.5 mol/L. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |
Calculate the monthly mortgage payment on a loan of $250,000 with a fixed annual interest rate of 4%. | The monthly mortgage payment on a loan of $250,000 with a fixed annual interest rate of 4% would be $11,749.67. | The monthly mortgage payment on a loan of $250,000 with a fixed annual interest rate of 4% is $12,500. | unknown | unknown | null | null | general | alpaca_farm | alpaca_farm_gpt4 | null | null | null | null | null | null |