jeggers/fermi huggingface dataset:
Question: How big a block of chocolate could you make using all the chocolate eaten by the class in a year?
CONTEXT:
F1: There are 12 months in a year.
F2: The frequency of ordering chocolates is 15 times a month.
F3: The average size of the class is 21.
F4: The average capacity of a student is 2 chocolates per consumption
F5: The average volume of a chocolate bar is 73 cubic cm
PROGRAM:
Q7: What is the volume of an average chocolate?
Q8: What is the total chocolate consumption in a year?
Q1: How many months are there in a year?
Q2: What is the total chocolate consumption by the class in a month?
Q3: What is the frequency of eating chocolates by the class students in a month?
Q4: What is the total chocolate consumption on a single day by the entire class?
Q5: What is the average class size?
Q6: What is the average capacity of a student?
A1: 12
A2: 15
A3: 21
A4: 2
A5: 73 cm**3=Q6 -> A4 | F4=Q5 -> A3 | F3=Q4 -> Mul (Q5, Q6)=Q3 -> A2 | F2=Q2 -> Mul (Q3, Q4)=Q1 -> A1 | F1=Q8 -> Mul (Q1, Q2)=Q7 -> A5 | F5
P: Mul (Q7, Q8)
Answer: 551880 cm**3
Question: What fraction of the earth's water is equal to the water in an adult male human?
CONTEXT:
F1: The total water present in an average human is 3.7e-11 km**3
F2: The total water present on earth is 1.38e+9 km**3
PROGRAM:
Q1: What is total water present in an average human?
Q2: What is the total water present on earth?
A1: 3.7e-11 km**3
A2: 1.38e+9 km**3=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div (Q1, Q2)
Answer: 2.60E-20
Question: How much would a Subway employee make per year if every customer tipped $1?
CONTEXT:
F1: Each customer leaves a tip of 1 USD.
F2: A single Subway employee caters to around 150 customers a day.
F3: There are 260 days in a year.
PROGRAM:
Q1: What is the tip given by the customer?
Q2: How many does a single Subway employee serve in a year?
Q3: How many customers does a Subway employee cater to every day?
Q4: How many working days are there in a year?
A1: $1
A2: 150
A3: 260=Q4 -> A3 | F3=Q3 -> A2 | F2=Q2 -> Mul (Q3, Q4)=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: $39000
Question: What is the ratio of the length of a 6 foot pipe that encompasses the Earth's oceans to the distance from the Earth to the Sun?
CONTEXT:
F1: The total volume of water in the oceans is 321000000 cubic miles
F2: The diameter of the pipe is 0.001 miles
F3: The surface area of the pipe is 0.75 times the diameter square.
F4: The distance from earth to sun in miles is 93000000 miles
PROGRAM:
Q7: What is the distance from the earth to sun in miles?
Q6: If a 6 foot diameter pipe were built to contain all the ocean water, how many miles long would the pipe have to be?
Q1: What is the total volume of water in the oceans?
Q2: What is the surface area of the pipe?
Q3: What is the diameter of the pipe?
Q4: What is the relationship between diameter and surface area of the pipe?
Q5: What is the square of the diameter?
A1: 321000000 miles**3
A2: 0.001 miles
A3: 0.75
A4: 93000000 miles=Q3 -> A2 | F2=Q5 -> Pow (Q3, 2)=Q4 -> A3 | F3=Q2 -> Mul (Q5, Q4)=Q1 -> A1 | F1=Q6 -> Div(Q1, Q2)=Q7 -> A4 | F4
P: Div (Q6, Q7)
Answer: 4602150
Question: How long (meters) is the shoreline of the North American continent?
CONTEXT:
F1: The number of countries contributing majorly to the coastline of North America are 4.
F2: The average coastline of these countries is 17213 km
PROGRAM:
Q1: How many countries lie along the coastline of North America that are significantly long?
Q2: What is the average length of coastline of countries?
A1: 4
A2: 17213 km=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 68852 km
Question: How much food has an average 30 year old American eaten?
CONTEXT:
F1: An average American eats around 1996 pounds of food each year.
F2: The person mentioned has been eating food for the past 30 years.
PROGRAM:
Q1: How much food does an average American eat each year?
Q2: For how many years has the 30 year old been eating food?
A1: 1996 lb
A2: 30=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 59880 lb
Question: At what percentage would an alcoholic drink dehydrate you rather than hydrate?
CONTEXT:
F1: Anything greater than 2% ABV would cause a dehydrating affect than hydrating affect.
PROGRAM:
A1: 0.02
P: A1 | F1
Answer: 0.02
Question: If you played your favorite song continuously for a whole year, how many times would it play?
CONTEXT:
F1: The duration of my favorite song is 3 minutes.
F2: There are 365 days in a year.
F3: There are 1440 minutes in a day.
PROGRAM:
Q1: What is the duration of your favorite song?
Q2: What is the duration of a year in minutes?
Q3: How many minutes are there in a day?
Q4: How many days are there in a year?
A1: 3
A2: 365
A3: 1440=Q4 -> A3 | F3=Q3 -> A2 | F2=Q2 -> Mul (Q3, Q4)=Q1 -> A1 | F1
P: Div (Q2, Q1)
Answer: 175200
Question: How much would it cost to fill a swimming pool with Jell-O?
CONTEXT:
F1: The cost of a single Jell-O is 0.2 USD
F2: The volume of an average swimming pool is 2500000000 cubic cm
F3: The volume of a single Jell-O is 88 cubic cm
PROGRAM:
Q1: How many Jell-Os can fit in a swimming pool?
Q2: What is the cost of single Jell-O?
Q3: What is the volume of an average swimming pool?
Q4: What is the volume of a single Jell-O?
A1: $0.2
A2: 2500000000 cm**3
A3: 88 cm**3=Q4 -> A3 | F3=Q3 -> A2 | F2=Q1 -> Div (Q3, Q4)=Q2 -> A1 | F1
P: Mul (Q1, Q2)
Answer: $5681818
Question: If all the people in Australia joined hands and stretched themselves out in a straight line, how long would it reach?
CONTEXT:
F1: The population of Australia is 25400000
F2: The average arm span of a human is 1.8 m
PROGRAM:
Q1: What is the total population of Australia?
Q2: What is the average arm span of humans?
A1: 25400000
A2: 1.8 m=Q1 -> A2 | F2=Q2 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 45720000 meters
Question: How much smokeable marijuana is in the world?
CONTEXT:
F1: The total amount of marijuana present in the world is 40e+6 lb (estimate)
F2: Around 40% of the total marijuana production is smokable. (assumption)
PROGRAM:
Q1: What is the total amount of marijuana present in the world?
Q2: What percent of all the marijuana available is safe to smoke
A1: 40e+6 pounds
A2: 0.4=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 16e+6 pounds
Question: 5 lbs of rice, if completely oxidized, yields how many grams of water?
CONTEXT:
F1: A single lb of rice oxidises 453 grams of water.
F2: The total quantity of rice given is 5 lb.
PROGRAM:
Q1: How many grams of water does 1 lb of rice oxidize?
Q2: What is the total quantity of rice given?
A1: 453 g*lb**-1
A2: 5 lb=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 2265 g
Question: How much water is wasted by a leaky faucet in one day?
CONTEXT:
F1: There are 24 hours in a day.
F2: There are 60 minutes in an hour.
F3: There are 60 seconds in a minute.
F4: Each second, a droplet is leaked from the faucet causing a wastage of 0.05 mL per second.
PROGRAM:
Q1: How many hours are there in a day?
Q6: How much is the water wasted by the faucet for 1 hour?
Q2: How many minutes are there in an hour?
Q3: How much is the water wasted by the faucet for 1 minute?
Q4: How many seconds are there in a minute?
Q5: How much water is wasted every second by the faucet?
A1: 24
A2: 60
A3: 60
A4: 0.05 mL=Q5 -> A4 | F4=Q4 -> A3 | F3=Q3 -> Mul (Q4, Q5)=Q2 -> A2 | F2=Q6 -> Mul (Q2, Q3)=Q1 -> A1 | F1
P: Mul (Q1, Q6)
Answer: 4.32 L
Question: How much energy would be saved at our school each year if the lights were replaced by energy-efficient alternatives?
CONTEXT:
F1: The energy efficient alternatives save 35% more energy than the traditional ones.
F2: The average energy generated by school annually is 245 ekWh/sq m
PROGRAM:
Q1: How much energy do the energy-efficient alternatives consume when compared to normal ones?
Q2: What is the average energy produced in a school over the year?
A1: 0.35
A2: 245 kWh*m**-2=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 86 kWh*m**-2
Question: How many cells are needed to visible to a person?
CONTEXT:
F1: The minimum size visible to a human is 1e-4 m
F2: The normal size of a cell is 1e-6 m
PROGRAM:
Q1: What is the minimum size of an object that falls under the visible range of a human?
Q2: What is the normal size of a cell?
A1: 1e-4 m
A2: 1e-6 m=Q2 -> A2| F2=Q1 -> A1 | F1
P: Div (Q1, Q2)
Answer: 100
Question: 5 lbs of rice yields how many cc of cooked rice?
CONTEXT:
F1: The expansion ratio of cooked rice to uncooked rice is 3
F2: The mass of rice in pounds is 5.
F3: 0.002 pounds equal one cc.
PROGRAM:
Q1: What is the expansion rate of rice?
Q2: What is the value of 5lbs in cc?
Q3: What is the value of rice in pounds?
Q4: What is the conversion rate from lb to cc?
A1: 3
A2: 5 lb
A3: 0.002 lb*cm**-3=Q4 -> A3 | F3=Q3 -> A2 | F2=Q2 -> Div (Q3, Q4)=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 7500 cm**3
Question: How much power could a hydroelectric power station in a gutter generate?
CONTEXT:
F1: A single gutter contains about 50 L of water.
F2: 26315 Wh of power is generated by a L of water.
PROGRAM:
Q1: Roughly, how much water is present in a gutter?
Q2: How much power is generated by a L of water?
A1: 50 L
A2: 26315 Wh*L**-1=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 1315750 Wh
Question: What percentage of all the words in the English language would an audio transcriptionist who worked 40 hours a week for 4 years have typed?
CONTEXT:
F1: There are 179476 words in english language.
F2: The writer wrote for 4 years.
F3: There are 52 weeks in a year.
F4: The writer wrote about 15 words an hour.
F5: The writer wrote for 40 hours a week.
F6: The numerical coefficient for converting the factor to percent is 100
PROGRAM:
Q1: What is the number of words the transcriptionist might have typed in 4 years?
Q2: How many words are there in English?
Q3: How many words did the writer write in a year?
Q4: How many years did the writer write for?
Q5: How many hours a week did the writer work?
Q6: How many weeks are there in a year?
Q7: How many words did the writer write in an hour?
Q8: How many hours did the writer work?
Q9: What fraction of English words was the writer able to cover over the 4 years?
Q10: What is the numerical coefficent for converting the fraction to percentage?
A1: 179476
A2: 4
A3: 52
A4: 15
A5: 40
A6: 100=Q8 -> A5 | F5=Q7 -> A4 | F4=Q5 -> Mul (Q7, Q8)=Q6 -> A3 | F3=Q3 -> Mul (Q5, Q6)=Q4 -> A2 | F2=Q1 -> Mul (Q3, Q4)=Q2 -> A1 | F1=Q9 -> Div (Q1, Q2)=Q10 -> A6 | F6
P: Mul (Q9, Q10)
Answer: 69.5
Question: What would the tax the British imposed on the tea in the US colonies equate to today due to inflation?
CONTEXT:
F1: The tax levied on tea by Britishers in US was $0.03/pound
F2: A dollar during British regime is worth 65 USD today.
PROGRAM:
Q1: What was the original tax levied on tea?
Q2: How much does a dollar in British regime in the US amount to current day USD?
A1: $0.03 pound**-1
A2: $65=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: $1.95 pound**-1
Question: I want to travel to every country in the world in one trip. How much would it cost?
CONTEXT:
F1: The average cost of moving from one country to another is 25000 USD
F2: There are 192 countries in the world.
PROGRAM:
Q1: What is the average cost of travelling from one country to another?
Q2: How many countries are there in the world?
A1: $25000
A2: 192=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: $4800000
Question: If a 6 foot diameter pipe were built to contain all the ocean water, how many miles long would the pipe have to be?
CONTEXT:
F1: The total volume of water in the oceans is 321000000 cubic miles
F2: The diameter of the pipe is 0.001 miles
F3: The surface area of the pipe is 0.75 times the diameter square.
PROGRAM:
Q1: What is the total volume of water in the oceans?
Q2: What is the surface area of the pipe?
Q3: What is the diameter of the pipe?
Q4: What is the relationship between diameter and surface area of the pipe?
Q5: What is the square of the diameter?
A1: 321000000 miles**3
A2: 0.001 miles
A3: 0.75=Q3 -> A2 | F2=Q5 -> Pow (Q3, 2)=Q4 -> A3 | F3=Q2 -> Mul (Q5, Q4)=Q1 -> A1 | F1
P: Div(Q1, Q2)
Answer: 428000000000000 miles
Question: How many people are afflicted with sickle cell anemia in the United States?
CONTEXT:
F1: The population of the United States is 328200000
F2: The disease to people ratio of sickle cell anemia is 0.00025 (1 in every 4000 Americans)
PROGRAM:
Q1: What is the population of the United States?
Q2: What is the disease to people ratio of sickle cell anemia?
A1: 328200000
A2: 0.00025=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 82050
Question: How much nuclear material is needed for a tiny reactor to power roughly 10 average American homes?
CONTEXT:
F1: 1e-9 kg of nuclear material is required to power a bomb with an impact of 1 Wh.
F2: The average power consumed by an american home is 1e+7 Wh
F3: The number of houses given are 10.
PROGRAM:
Q1: What is the total power consumed by the 10 american homes?
Q2: How much nuclear material is needed to power a bomb?
Q3: What is the average power consumed by an american home?
Q4: How many homes are given?
A1: 1e-9 kg*Wh**-1
A2: 1e+7 Wh
A3: 10=Q4 -> A3 | F3=Q3 -> A2 | F2=Q1 -> Mul (Q3, Q4)=Q2 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 0.1 kg
Question: What percentage of plants are used for drugs?
CONTEXT:
F1: The total medicinal plants in the world are 50000
F2: The total number of plants in the world are 390900.
PROGRAM:
Q1: How many medicinal plants are there in the world?
Q2: How many total plants are there in the world?
Q3: What is the fraction of plants that are medicinal?
A1: 50000
A2: 390900=Q2 -> A2 | F2=Q1 -> A1 | F1=Q3 -> Div (Q1, Q2)
P: Mul (Q3, 100)
Answer: 12.7 %
Question: How many minutes does the average student play video games per day?
CONTEXT:
F1: There are 60 minutes in an hour.
F2: An average student plays video games for a total of 4 hours per day.
PROGRAM:
Q1: How many minutes are there in an hour?
Q2: How many hours does an average student play video games per day?
A1: 60
A2: 4=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 240
Question: How many tons of batteries would be needed to power a car for one year?
CONTEXT:
F1: The monthly battery intake of a car is 1.8 tons.
F2: There are 12 months in a year.
PROGRAM:
Q1: What is the monthly battery intake of a car?
Q2: How many months are there in a year?
A1: 1.8 tons
A2: 12=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 21.6 tons
Question: If all the people in the world moved to Wales, how crowded would it be?
CONTEXT:
F1: The total area of Wales is 20735 sq km.
F2: The total world population is 7670000000
PROGRAM:
Q1: What is the area of Wales?
Q2: What is the total world population?
A1: 20735 km**2
A2: 7670000000 people=Q1 -> A1 | F1=Q2 -> A2 | F2
P: Div (Q2, Q1)
Answer: 369905.95 people * km ** -2
Question: If you could, how long would it take to drive to the moon?
CONTEXT:
F1: The distance between Earth and Moon is 384400 km
F2: The average speed at which a person drives a car is 30 kmph.
PROGRAM:
Q1: What is the distance between Earth and Moon?
Q2: What is the average speed at which a person drives a car?
A1: 384400 km
A2: 30 km/hour=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div(Q1, Q2)
Answer: 12813 hours
Question: If all of the people in the United States move to Colorado, what would be the population density, people per square mile, of that state?
CONTEXT:
F1: The population of Earth is 7e+9
F2: The surface area of Colorado is 104185 miles square
PROGRAM:
Q1: What is the total population on Earth?
Q2: What is the surface area of Colorado?
A1: 7e+9 person
A2: 104185 mi**2=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div (Q1, Q2)
Answer: 67188 person * mi ** -2
Question: How many hours of tv will you watch in your lifetime?
CONTEXT:
F1: The average life expectancy is 72 years
F2: One watches TV for around 3 hours daily.
F3: There are 365 days in a year.
PROGRAM:
Q1: What is the total number of hours one spends watching TV in a year?
Q2: What is the average life expectancy?
Q3: How many hours does one watch TV in a day?
Q4: How many days are there in a year?
A1: 72
A2: 3 hour
A3: 365=Q4 -> A3 | F3=Q3 -> A2 | F2=Q1 -> Mul (Q3, Q4)=Q2 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 78840 hours
Question: If everyone in our city donated one day's wages to a good cause, how much money could be raised?
CONTEXT:
F1: The average daily wage pay in the US is 180 USD
F2: The average population in a US city is 10732
PROGRAM:
Q1: What is the average daily wage pay in the US?
Q2: What is the average population in a US city?
A1: $180
A2: 10732=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: $1931760
Question: Estimate the mass, kg, of the earth's atmosphere.
CONTEXT:
F1: The density of air in the atmosphere is 1.2 kg/cubic metre
F2: The total volume of the atmosphere is 51000000000 metre cube
PROGRAM:
Q1: What is the density of air in the atmosphere?
Q2: What is the total volume of the atmosphere?
A1: 1.2 kg*m**-3
A2: 51000000000 m**3=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul(Q1, Q2)
Answer: 61200000000 kg
Question: How big would an iPhone 6 be if implemented using the technology of ENIAC, the first digital computer?
CONTEXT:
F1: The size of an iPhone 6 is 600 cc
F2: The size of ENIAC is 209250 sq.in
F3: The size of processor in iPhone 6 is 0.138 sq. in
PROGRAM:
Q1: What is the size of an iPhone 6?
Q2: What is the ratio of size of ENIAC to the processor in iPhone 6?
Q3: What is the size of ENIAC?
Q4: What is the size of the processor in iPhone ^?
A1: 60 cm**3
A2: 209250 in**2
A3: 0.138 in**2=Q4 -> A3 | F3=Q3 -> A2 | F2=Q2 -> Div (Q3, Q4)=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 90978261 cm**3
Question: How many grains of sand are there on the beaches surrounding Lake Michigan?
CONTEXT:
F1: There are 15 beaches surrounding Lake Michigan
F2: The average area of a beach is 15000 metre square
F3: There is an average of 100000000 grains of sand per meter square
PROGRAM:
Q1: How many beaches are surrounding Lake Michigan?
Q2: What is the total amount of sand present in a single beach?
Q3: What is the total area of an average beach surrounding Lake Michigan?
Q4: How many grains of sand are present in a sq. ft area?
A1: 15
A2: 1500 m**2
A3: 100000000 m**-2=Q4 -> A3 | F3=Q3 -> A2 | F2=Q2 -> Mul (Q3, Q4)=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 2250000000000
Question: How many times could a basketball player bounce a ball during her teenage years if she didn't stop to eat, sleep, etc.?
CONTEXT:
F1: There are 7 years in a teen year.
F2: It takes 1 s for one bounce of a basketball.
F3: There are 86400 seconds in a day.
F4: There are 365 days in a year.
PROGRAM:
Q1: How many times does a single person bounce a ball in a day?
Q2: How many years are there in teen years?
Q3: How many seconds are there in a year?
Q4: How many seconds does it take for a single bounce of basketball?
Q5: How many seconds are there in a day?
Q6: How many days are there in a year?
A1: 7
A2: 1 s**-1
A3: 86400 s*day**-1
A4: 365 day=Q6 -> A4 | F4=Q5 -> A3 | F3=Q3 -> Mul (Q5, Q6)=Q4 -> A2 | F2=Q1 -> Mul (Q3, Q4)=Q2 -> A1 | F1
P: Mul (Q2, Q1)
Answer: 220752000
Question: How much tire rubber, in lbs, is shed by normal wear and tear of car tires in the USA each year?
CONTEXT:
F1: The collective drop in weight of a car in a month is 0.22 lbs
F2: There are 12 months in a year.
PROGRAM:
Q1: What is the collective drop in weight of tyres of a car in a month?
Q2: How many months are there in a year?
A1: 0.22 lbs
A2: 12=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 2.64 lbs
Question: If all the water vapour and clouds in the atmosphere precipitated or condensed in one place, how large of a body of water would it form?
CONTEXT:
F1: There are around 1000 significantly big clouds in the sky.
F2: Each significantly big cloud, contains about 192000 km**3 of water in it.
PROGRAM:
Q1: How many significantly big clouds are there in the sky?
Q2: What is the water content in these significantly big clouds?
A1: 1000
A2: 1.92e+5 km**3=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 1.92e+8 km**3
Question: How far does the ball travel in a game of soccer?
CONTEXT:
F1: The soccer balls travels an average of 0.07 miles/min
F2: There are 90 minutes in a soccer game.
PROGRAM:
Q1: How far does the soccer ball travel on field in a minute?
Q2: How many minutes are there in an average soccer match?
A1: 0.07 miles*min**-1
A2: 90 min=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 6.3 miles
Question: How many rubber bands would it take to crush a human skull?
CONTEXT:
F1: The average force exerted while crushing a human skull is 2300 N
F2: The average force exerted by releasing a rubber band is 10 N
PROGRAM:
Q1: What is the force exerted to crush a human skull?
Q2: What is the average force exerted by releasing a rubber band?
A1: 2300 N
A2: 10 N=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div (Q1, Q2)
Answer: 230
Question: How many notes are played on a given radio station in a given year?
CONTEXT:
F1: There are 365 days in a year
F2: There are 7 different types of musical notes in any song
F3: 300 songs are played on an average daily by a music station
PROGRAM:
Q1: How many musical notes are played in a day?
Q2: How many days are there in a year?
Q3: How many kinds of musical notes are present in a song?
Q4: What is the average number of songs played daily?
A1: 365 days
A2: 7
A3: 300 day**-1=Q4 -> A3 | F3=Q3 -> A2 | F2=Q1 -> Mul(Q3, Q4)=Q2 -> A1|F1
P: Mul(Q1, Q2)
Answer: 766500
Question: The owner collects and dries the grass clippings. In the course of a six month growing season, what is the total mass, g, of the dried clippings?
CONTEXT:
F1: The weight of a blade of grass is 0.01 g
F2: The average size of a freshly mowed lawn is 200 ft**2
F3: There are 3000 blades of grass in a single ft**2 of a lawn.
F4: There are 24 weeks in the 6 months period.
PROGRAM:
Q5: How many weeks are there in the 6 months period?
Q6: What is the mass of grass collected each week?
Q1: What is the total number of blades collected in the week after cutting them?
Q2: What is the average mass of a single blade of grass?
Q3: What is the average size of a lawn?
Q4: How many blades of grass are there on a single ft**2 of a lawn?
A1: 0.01 g
A2: 200 ft**2
A3: 3000 ft**-2
A4: 24=Q4 -> A3 | F3=Q3 -> A2 | F2=Q1 -> Mul (Q3, Q4)=Q2 -> A1 | F1=Q6 -> Mul (Q1, Q2)=Q5 -> A4 | F4
P: Mul (Q5, Q6)
Answer: 144000 g
Question: How many leaves in Central Park?
CONTEXT:
F1: There are roughly 18000 trees in Central Park.
F2: The average number of leaves on a single tree is 50000
PROGRAM:
Q1: How many trees are there in the central park?
Q2: What is the average number of leaves on a single tree?
A1: 18000
A2: 50000=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 9.00E+08
Question: Estimate the angular momentum an automobile tire has about its axis of rotation while the car is driving on the interstate.
CONTEXT:
F1: The mass of the tyre is 20 kg
F2: The radius of the tyre is 0.3m
F3: The velocity at which the tyre is moving is 5 m/s
PROGRAM:
Q1: What is the mass of the tyre?
Q2: What is the product of radius and velocity of the tyre?
Q3: What is the radius of the tyre?
Q4: What is the velocity at which the tyre is moving?
A1: 20 kg
A2: 0.3 m
A3: 5 m/s=Q4 -> A3 | F3=Q3 -> A2 | F2=Q2 -> Mul (Q3, Q4)=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 30 kg*m**2*s**-1
Question: How many stickers does it take to cover a notebook?
CONTEXT:
F1: The surface area of the cover page of the notebook is 1 sq. metre.
F2: The surface area of a single sticker is 0.00125 sq. metre
PROGRAM:
Q1: What is the surface area of the cover page of the notebook
Q2: What is the surface area of a single cracker?
A1: 1 m**2
A2: 0.00125 m**2=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div (Q1, Q2)
Answer: 800
Question: If the Earth's average daily rainfall fell on Colorado, how many inches of rain precipitated?
CONTEXT:
F1: The quantity of average daily rainfall is 300e+6 L
F2: 0.5 in of rain gets precipitated per liter of rainfall on earth.
PROGRAM:
Q1: What is the quantity of earth's average rainfall?
Q2: How many inches of rain get precipitated per liter of rainfall on earth?
A1: 300e+6 L
A2: 0.5 in*L**-1=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 150e+6 in
Question: How high a column, in cm, would the RBCs in the blood of an adult male form, if stacked like a bunch of poker chips?
CONTEXT:
F1: The thickness of a single RBC is 2e-12 cm
F2: 1 cubic centimeter makes up 1 cc
PROGRAM:
Q1: What is the thickness of a single RBC?
Q2: How many RBCs are there in the human body?
A1: 2e-12 cm
A2: 25000000000000=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q2, Q1)
Answer: 50 cm