jeggers/fermi huggingface dataset:
Question: What is the weight of a medieval broad sword?
CONTEXT:
F1: There density of the material that makes up the broad sword is 8050kg/m**3
F2: The volume of broadsword is 6e-4 m**3
PROGRAM:
Q1: What is the density of the material that makes up the broad sword?
Q2: What is the volume of broadswords?
A1: 8050 kg*m**-3
A2: 6e-4 m**3=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 4.83 kg
Question: How much does a tornado weigh?
CONTEXT:
F1: The volume of water in an average Tornado is 3650 metre cube.
F2: The density of water is 1000 kg/metre cube
PROGRAM:
Q1: What is the volume of water in an average Tornado?
Q2: What is the density of water?
A1: 3650 m**3
A2: 1000 kg*m**-3=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 3.65e+6 kg
Question: How many songs contain the lyrics "baby"?
CONTEXT:
F1: A total of 150e+6 songs have been released till now.
F2: Around 0.17% of songs contain the term baby?
PROGRAM:
Q1: How many songs have been released until now?
Q2: What percent of songs contain the term - baby?
A1: 150e+6
A2: 0.0017=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 255000
Question: How much room-temperature water do I need to drink per day to suppress my 37.78 degrees Celsius fever by 0.5 degrees Celsius (by carrying heat away when it leaves my body), assuming my metabolism stays at the average adult male baseline?
CONTEXT:
F1: Drinking 10 L of water would compensate for the cooling effect caused by an increase in body temperature by 1 degree C.
F2: 0.5 degree of temperature is to be lowered.
PROGRAM:
Q1: Drinking what quantity of water would decrease the body temperature by 0.1 degree?
Q2: How many degrees of temperature is to be lowered?
A1: 10 L/degree
A2: 0.5 degree=Q2 -> A2| F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 5L
Question: How many post its would it take to completely cover a cessna 172?
CONTEXT:
F1: The volume of a single Cessna 172 is 248 cubic metre
F2: The volume of a single post-it sheet is 0.007 cubic metre
PROGRAM:
Q1: What is the volume of a single Cessna 172?
Q2: What is the volume of a single post-it sheet?
A1: 248 m**3
A2: 0.007 m**3=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div (Q1, Q2)
Answer: 35428
Question: What percentage of airplane passengers are first-time fliers?
CONTEXT:
F1: Around 40 people struggle to tie their seat belts on every flight.
F2: The average capacity of a commercial flight is 270.
PROGRAM:
Q1: On an average, how many people on the flight are not familiar with typing their seat belts?
Q2: What is the average capacity of a commercial flight?
Q3: What is the fraction of people who struggle to tie their seatbelts?
A1: 40
A2: 270=Q2 -> A2 | F2=Q1 -> A1 | F1=Q3 -> Div (Q1, Q2)
P: Mul(Q3, 100)
Answer: 15%
Question: How many hairs on your head?
CONTEXT:
F1: Considering our head to be a half sphere with radius 2.5, the surface area is 78.5 sq. inch
F2: The average number of hairs on a sq. inch covered area is 1400
PROGRAM:
Q1: What is the total surface area of your head?
Q2: How many hairs does our head have on an area of a square inch?
A1: 78.5 in**2
A2: 1400 in**-2=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 109900
Question: How many graduates, people holding first university degrees, do we produce in our country?
CONTEXT:
F1: The number of universities in the US is 5300
F2: An average intake of freshman at a university is 550
PROGRAM:
Q1: How many universities are there in the USA?
Q2: What is the average freshman intake of a university in the USA?
A1: 5300
A2: 550=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 5.20E+06
Question: By how many degrees does the average human body increase the temperature of an average room?
CONTEXT:
F1: The average body temperature is 36.9 degree celsius.
F2: The average room temperature is 23.6 degree celsius.
PROGRAM:
Q1: What is the average body temperature?
Q2: What is the average room temperature?
A1: 36.9 degree
A2: 23.6 degree=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Sub (Q1, Q2)
Answer: 13.3 degree
Question: How many water droplets make up a cumulus clouds?
CONTEXT:
F1: The water content in cumulus clouds is 1000000000 cubic metre
F2: The volume of a single droplet of water is 0.000000050 cubic metre
PROGRAM:
Q1: What is the volume of water content in cumulus clouds?
Q2: What is the volume of a single droplet of water?
A1: 1000000000 m**3
A2: 0.000000050 m**3=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div (Q1, Q2)
Answer: 2.00E+16
Question: If the earth heats up by 0.5 degrees, how much energy is saved during winters?
CONTEXT:
F1: Around e+21 Joules are required to heat the earth by 0.5 degrees.
F2: The average value of coins thrown in by visitor in Trevi Fountain is 0.04 euros (it is collected and distributed to local poor people every day)
PROGRAM:
Q1: How much energy is required to heat up the earth by 0.5 degrees?
Q2: What is the average energy usage around the world during winters?
A1: 1e+21 J
A2: 1.5e+16 J=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Sub (Q1, Q2)
Answer: 9.9e+20 J
Question: How tall would someone have to be to be able to run around the globe at average stride in 6 minutes?
CONTEXT:
F1: The time limit to run around the globe is 6 minutes.
F2: The average time taken to run around the globe at an average stride is 400750 minutes.
F3: The height of an average person is 170 cm. (Given the height and time taken to cover the earth are inversely proportional to each other)
PROGRAM:
Q1: What is the time limit to run around the globe?
Q2: What is the product of the average time taken to cover the globe and the average height of a person?
Q3: What is the average time taken by a person to run around the globe?
Q4: What is the height of an average person?
A1: 6 min
A2: 400750 min
A3: 170 cm=Q4 -> A3 | F3=Q3 -> A2 | F2=Q2 -> Mul (Q3, Q4)=Q1 -> A1 | F1
P: Div (Q2, Q1)
Answer: 11354583.3 cm
Question: What is the minimum amount of total force required by hand in order to get it to close to a point from an open position?
CONTEXT:
F1: The mass of the forearm is 1 kg.
F2: The acceleration of the forearm during the movement of closing a point is 5 m*s***-2
PROGRAM:
Q1: What is the mass of the forearm?
Q2: What is the acceleration of the forearm during the movement of closing a point?
A1: 1kg
A2: 5 m*s**-2=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 5 kg*m*s**-2
Question: How many trout would it take to pull a houseboat?
CONTEXT:
F1: The average force exerted by a household boat to the ground while at rest is 50000 N
F2: The average force exerted by a single trout is around 100 N (assumption)
PROGRAM:
Q1: What is the average force exerted by a household boat to the ground while at rest?
Q2: What is the average force put in by single trout?
A1: 50000N
A2: 100N=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div (Q1, Q2)
Answer: 500
Question: How many snowflakes would it take to completely cover a driveway?
CONTEXT:
F1: The average surface area of a driveway is 800 sq. ft
F2: The average surface area of a snowflake is 0.008 sq ft.
PROGRAM:
Q1: What is the surface area of an average driveway?
Q2: What is the average surface area of a single snowflake?
A1: 800 ft**2
A2: 0.008 ft**2=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div(Q1, Q2)
Answer: 100000
Question: For a cup of uncooked rice, what fraction of the cup is air?
CONTEXT:
F1: The mass of a cup of rice is 200g.
F2: The mass of the single cup is 250g.
F3: The value that fraction of air and fraction of rice sum up to is 1 and fraction of air is 1 minus the fraction of rice. (both are complimentary to each other.)
PROGRAM:
Q1: What is the mass of the cup full of rice?
Q2: What is the mass of the single cup of rice?
Q3: What fraction of rice is there in the cup?
Q4: What is the total sum that the fraction of air and fraction of rice sum up to?
A1: 200
A2: 250
A3: 1=Q2 -> A2 | F2=Q1 -> A1 | F1=Q3 -> Div (Q1, Q2)=Q4 -> A3 | F3
P: Sub (Q4, Q3)
Answer: 0.2
Question: How much land is required to rehabilitate 10 million refugees?
CONTEXT:
F1: 1e+7 refugees are to be rehabilitated.
F2: What is the average 1BHK area size in the USA is 450 sq.ft
PROGRAM:
Q1: How many refugees are to be rehabilitated?
Q2: What is the average 1BHK area size in the USA?
A1: 1e+7
A2: 450 ft**2=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 4500000000 ft**2
Question: How many bacteria would it take to make them visible to the naked eye?
CONTEXT:
F1: The minimum possible size visible to human eye is 1e-4 m
F2: The average size of a bacteria is 1e-6 m
PROGRAM:
Q1: What is the minimum possible size that is visible to the naked eye?
Q2: What is the average size of a bacteria?
A1: 1e-4 m
A2: 1e-6 m=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div (Q1, Q2)
Answer: 100
Question: How large a landfill would our county need to store 100 years of garbage?
CONTEXT:
F1: The area taken up by the annual garbage dump collection is 125663 sq. m
F2: We need to store 100 years worth of Garbage collection together.
PROGRAM:
Q1: How much area would a typical annual garbage collection spread across the landfill of our country?
Q2: How many year's worth garbage collection is to be stored together?
A1: 125663 meters**2
A2: 100=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 12566300 meters**2
Question: During the time interval of a blink, how many km has light traveled in a vacuum?
CONTEXT:
F1: The time interval of a blink is 0.1 sec
F2: The speed of sound is 300000 km/sec
PROGRAM:
Q1: What is the time interval of a blink?
Q2: What is the speed of light?
A1: 0.1 s
A2: 300000 km*s**-1=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q2, Q1)
Answer: 30000 km
Question: How many helium balloons do I need to make plush toy float?
CONTEXT:
F1: The average mass of a plush toy is 150 grams
F2: A single helium balloon can withstand an average mass of 15 grams
PROGRAM:
Q1: What is the average mass of a plush toy?
Q2: How much mass can a normal helium balloon withhold?
A1: 150 g
A2: 15 g=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div (Q1, Q2)
Answer: 10
Question: How many children are needed to have a mass the same as an elephant?
CONTEXT:
F1: The average mass of an Elephant is 4200 kg.
F2: The average mass of a child is 25 kg.
PROGRAM:
Q1: What is the average mass of an Elephant?
Q2: What is the average mass of a child?
A1: 4200 kg
A2: 25 kg.=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div(Q1, Q2)
Answer: 168
Question: How many pizzas were eaten last year in the U.S.?
CONTEXT:
F1: An average person in the US eats around 6 pizzas per year.
F2: The population of the US is 348200000
PROGRAM:
Q1: How many pizzas does an average human eat each year in the US?
Q2: What is the population of US
A1: 6
A2: 348200000=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q2, Q1)
Answer: 2089200000
Question: How many beads would it take to make a bracelet that fits perfectly on my wrist?
CONTEXT:
F1: The length of the bracelet when stretched out is 15 cm
F2: The diameter of a single bead is 0.5 cm
PROGRAM:
Q1: What is the length of the bracelet that fits you when stretched out?
Q2: What is the diameter of a single beed?
A1: 15 cm
A2: 0.5 cm=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div (Q1, Q2)
Answer: 30
Question: What is the mass (grams) of a water molecule?
CONTEXT:
F1: The density of a water molecule is 997000 g/cubic metre
F2: The volume occupied by a single molecule is 3e-23 metre cube
PROGRAM:
Q1: What is the density of a water molecule?
Q2: What is the volume of a single water molecule?
A1: 997000 g*m**-3
A2: 3e-23 m**3=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul(Q1, Q2)
Answer: 3e-17 g
Question: How does Earth's age compare to the rest of the galaxy?
CONTEXT:
F1: The age of the Earth is 4.5e+9 years.
F2: The age of the Milky Way Galaxy is 13.5e+9 years.
PROGRAM:
Q1: What is the age of the Earth?
Q2: What is the age of the Milky Way Galaxy?
A1: 4.5e+9 years
A2: 13.5e+9 years=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Sub (Q2, Q1)
Answer: 9e+9 years
Question: How many pairs of M&Ms with the exact same M&M colors exist out there, taking into account every M&M bag ever sold?
CONTEXT:
F1: Around 10e+9 M&Ms have been sold till now
F2: The chance of two M&Ms having the same combination is 8.5e-6
PROGRAM:
Q1: How many M&Ms have been sold till now?
Q2: What is the chance of two M&Ms having the same colors?
A1: 10e+9
A2: 8.5e-6=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 85000
Question: How many times has Tiger Woods swung a golf club in his life?
CONTEXT:
F1: Tiger Woods has played a total of
F2: An average golfer swings his club around 15 times in a match.
F3: The practice-match preparation of Tiger Woods is 25
PROGRAM:
Q1: How many matches had Tiger Woods played in his entire career?
Q2: What is the average number of times a golfer swings his golf club in a match and its preparation process?
Q3: How many times does an average golfer swing his golf club in a match?
Q4: What is the practice-match preparation ratio of Tiger Woods as a golfer?
A1: 368
A2: 15
A3: 10=Q4 -> A3 | F3=Q3 -> A2 | F2=Q2 -> Mul (Q3, Q4)=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 55200
Question: How many dump trucks would it take to cart away Mount Everest?
CONTEXT:
F1: The total volume of the Mount Everest is 2100000000000 cubic ft
F2: The average volume of a single dump truck is 3178.32 cubic ft.
PROGRAM:
Q1: What is the total volume of Mount Everest?
Q2: What is the total volume of a single dump truck?
A1: 2100000000000 ft**3
A2: 3180 ft**3=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div(Q1, Q2)
Answer: 660377358
Question: How much sunlight can be deflected to stop global warming?
CONTEXT:
F1: The current forcing due to greenhouse gases estimated at 3 W/sq. m
F2: The top of atmosphere incident solar radiation is 1360 W/sq. m
PROGRAM:
Q1: What is the current forcing due to greenhouse gases estimated at?
Q2: What is the top of atmosphere incident solar radiation?
A1: 3 W*m**-2
A2: 1360 W*m**-2=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div (Q1, Q2)
Answer: 0.0022
Question: What is the volume (cubic miles) of the earth?
CONTEXT:
F1: The radius of Earth is 4000 miles
F2: The volume of a sphere is 4 times the radius cube.
F3: The cube of the radius of earth is radius powered to 3
PROGRAM:
Q1: What is the radius of the Earth?
Q2: What is the relations between radius and volume of a sphere?
Q3: What is the cube of the radius of earth?
A1: 4
A2: 3
A3: 4000 miles=Q1 -> A3 | F1=Q3 -> Pow (Q1, 3)=Q2 -> A1 | F2
P: Mul(Q2, Q3)
Answer: 256000000000 miles**3
Question: How many pencils would it take to draw a straight line along the entire Prime Meridian of the earth?
CONTEXT:
F1: The length of Prime Meridian is 20000 km
F2: The average distance written by a single pencil before getting completed is 56 km
PROGRAM:
Q1: What is the length of the Prime Meridian of the Earth
Q2: What is the distance written by a single pencil before getting completed?
A1: 20000 km
A2: 56 km=Q1 -> A1 | F1=Q2 -> A2 | F2
P: Div (Q1, Q2)
Answer: 357
Question: What is the average distance, m, between pigment particles in a paint film?
CONTEXT:
F1: The average distance between pigment particles in paint film is 10e-5 m [assumption]
PROGRAM:
A1: 10e-5 m
P: A1 | F1
Answer: 10e-5 m
Question: How loud must a sound be at its origin to be heard 100 feet (34.5 metres) away at low volume (0 dB).
CONTEXT:
F1: The minimum intensity a sound can be heard at 100 ft is when the source is playing at 40 dB.
PROGRAM:
A1: 40 dB
P: A1 | F1
Answer: 40 dB
Question: How long would a black hole with the mass of earth take to consume the sun?
CONTEXT:
F1: It takes around 15 minutes for a blackhole of earth's size to consume all of earth.
F2: The mass of sun is 2e+30 kg
F3: The mass of earth is 6e+24 kg
PROGRAM:
Q1: How long would it take for earth to fall into a blackhole of its own mass?
Q2: What is the ratio of the mass of the sun to the mass of earth?
Q3: What is the mass of sun?
Q4: What is the mass of earth?
A1: 15 min
A2: 2e+30 kg
A3: 6e+24 kg=Q4 -> A3 | F3=Q3 -> A2 | F2=Q2 -> Div (Q3, Q4)=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 5e+6 min
Question: Approximately how much explosive yield would 5,623kg of Plutonium-238 create?
CONTEXT:
F1: The mass of the particle is 5623 kg
F2: The velocity is 3e+8 m/s
F3: The numerical factor to get the square of a number is 2
PROGRAM:
Q1: What is the mass of the particle?
Q2: What is the square of the velocity?=Q3 :What is the velocity?
Q4: What is the numerical factor to get the square of a number?
A1: 5623 kg
A2: 3e+8 m*s**-1
A3: 2=Q4 -> A3 | F3=Q3 -> A2 | F2=Q2 -> Pow (Q3, Q4)=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 5.06e+20 kg*m**2*s**-2
Question: Instead of adding and subtracting your checkbook transactions by the penny, you rounded up or down to the nearest dollar; how far off would your balance be after 6 months?
CONTEXT:
F1: The average penny lost per transaction is 10.
F2: The average penny gained per transaction is 20.
F3: Around 3000 transactions take place in a month.
F4: The total time duration mentioned is 6 months.
F5: 100 pennies is 1 dollar.
PROGRAM:
Q1: What is the total values of pennies lost as a part of rounding off to the nearest dollar?
Q2: What is the total value of pennies gained as a part of rounding off to the nearest dollar?
Q3: What is the average penny lost per transaction?
Q4: What is the total count of transactions in 6 months?
Q5: What is the average penny gained per transaction?
Q6: What is the total count of transactions in 6 months?
Q7: How many transactions take place in a month?
Q8: What is the total time duration mentioned?
Q9: What is the net difference in pennies?
Q10: How many pennies is one dollar?
A1: 10
A2: 20
A3: 3000
A4: 6
A5: 100=Q8 -> A4 | F4 =Q7 -> A3 | F3=Q4 -> Mul (Q7, Q8)=Q3 -> A1 | F1=Q1 -> Mul (Q3, Q4)=Q8 -> A4 | F4=Q7 -> A3 | F3=Q6 -> Mul (Q7, Q8)=Q5 -> A2 | F2=Q2 -> Mul (Q5, Q6)=Q9 -> Sub (Q2, Q1)=Q10 -> A5 | F5
P: Div (Q9, Q10)
Answer: 1800
Question: How many shirts we need to feel warm on Pluto?
CONTEXT:
F1: Compared to earth, pluto is 500x cooler than earth.
F2: We need 2 shirts to feel warm on earth.
PROGRAM:
Q1: How cool is Pluto when compared to earth?
Q2: How many shirts do we need to feel warm on earth?
A1: 500
A2: 2=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 1000
Question: What is the volume of the Moon in cubic meters?
CONTEXT:
F1: The mass of the moon is 7.3e+25 grams.
F2: The density of moon is 3.34 grams per metre cube
PROGRAM:
Q1: What is the mass of the moon?
Q2: What is the density of the moon?
A1: 7.3e+25 g
A2: 3.34 g*m**-3=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div (Q1, Q2)
Answer: 2.18e+25 m** 3
Question: How much water can humanity store in new dams or by flooding lowlands in an effort to combat melting of the polar ice sheet?
CONTEXT:
F1: The total volume of polar ice sheets is 3.33e+6 mi**3
F2: The average capacity of a dam is 8.3 mi**3
F3: There are 3700 new dams in the world being constructed.
PROGRAM:
Q1: What is the volume of water present in the polar ice sheets?
Q2: What is the total capacity of dams in the world?
Q3: What is the average capacity of a dam?
Q4: How many new dams are there in the world?
A1: 3.33e+6 mi**3
A2: 8.3 mi**3
A3: 3700=Q4 -> A3 | F3=Q3 -> A2 | F2=Q2 -> Mul (Q3, Q4)=Q1 -> A1 | F1
P: Div (Q2, Q1)
Answer: 0.009
Question: How many USA residents are legally prohibited from buying guns?
CONTEXT:
F1: The number of felons and convicts in the US is around 5 million.
F2: 74.2e+6 under 18 kids are there in the USA
PROGRAM:
Q1: How many convicts and felons live in the US?
Q2: How many kids under 18 years are there in the US
A1: 5e+6
A2: 74.2e+6=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Add (Q1, Q2)
Answer: 7.92E+07
Question: What is the cumulative budget of US police forces?
CONTEXT:
F1: The number of different police forces in the US is 17895.
F2: The average budget of a single department is 11.2e+6 USD.
PROGRAM:
Q1: What is the number of different police forces present in the US?
Q2: What is the average budget of a US police force?
A1: 17895
A2: 11.2e+6=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: $200e+9
Question: how fast would you have to be moving to make it from one side of the Earth to the other in 0.3 seconds?
CONTEXT:
F1: The circumference of Earth is 40075 km
F2: The time in which the distance has to be covered is 0.3 sec
PROGRAM:
Q1: What is the distance to be travelled?
Q2: What is the time in which the said distance has to be travelled?
Q3: What is the circumference of Earth?
A1: 40075 km
A2: 0.3 s=Q2 -> A2 | F2=Q3 -> A1 | F1=Q1 -> Div (Q3, 2)
P: Div (Q1, Q2)
Answer: 66791 km*s**-1
Question: Estimate the number of TV sets in New York City.
CONTEXT:
F1: The number of residential properties in New York City is 761000
F2: An average number of TV sets in a single residential property in the USA is 1.
PROGRAM:
Q1: How many residential properties are there in New York City?
Q2: What is the average number of TV sets in a single residential property in the USA?
A1: 761000
A2: 1=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 761000
Question: The Ontario government decides that winter is too depressing and that what is really needed is to turn all of Lake Ontario into one giant mug of hot chocolate. Find the number of packets of hot chocolate powder required to make this much hot chocolate.
CONTEXT:
F1: The volume of Lake Ontario is 1.64e+6 m**3
F2: It takes 4000 packets to make a hot chocolate of 1 meter cube
PROGRAM:
Q1: What is the volume of Lake Ontario?
Q2: How many packets does it take to make a hot chocolate of 1 cc?
A1: 1.64e+6
A2: 4000=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul(Q1, Q2)
Answer: 6.56E+09
Question: If all but 1 million people on Earth died, how far (on average) would you have to walk to meet someone?
CONTEXT:
F1: The total land area on Earth is 501e+6 km square
F2: The population given is 1e+6
F3: Considering people to be in the midpoint of their areas (assuming to be squares), so they have to travel the length of their square to reach another person.
PROGRAM:
Q1: What is the land cover on earth?
Q2: What is the population alive after all of them have died?
Q3: What is the population density?
Q4: What is the relation between population density and distance between two people on Earth
A1: 501e+6 km**2
A2: 1e+6
A3: 1/2=Q2 -> A2 | F2=Q1 -> A1 | F1=Q3 -> Div (Q1, Q2)=Q4 -> A3 | F3
P: Pow(Q3, Q4)
Answer: 22.3 km
Question: If all of the Earth's oceans were transported to the Moon, what would be the average depth, in meters, of the lunar ocean?
CONTEXT:
F1: The total volume of Earth's oceans is 1.4e+18 cubic meters
F2: the surface area of the moon is: 3.8e+13 meter square
PROGRAM:
Q1: What is the volume of the oceans?
Q2: What is the surface area of the moon?
A1: 1.4e+18 m**3
A2: 3.8e+13 m**2=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div (Q1, Q2)
Answer: 36742 m
Question: How many unique names will we encounter in our lifetime?
CONTEXT:
F1: We meet around people in a lifetime.
F2: The possibility of a person meeting another person with a name he hasn't encountered yet is
PROGRAM:
Q1: How many people do we meet in a lifetime?
Q2: What is the possibility of a person meeting another person with a name he hasn't encountered yet.
A1: 10000
A2: 0.85=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 8500
Question: How much land would be needed if each family had a house and a yard?
CONTEXT:
F1: Around 360 sq. yards is required to build a house with a yard.
F2: The total human population is 7.2e+9
F3: the average family size is 4
PROGRAM:
Q1: How many families are there in the world?
Q2: How much land is required to build a house with a yard?
Q3: What is the total human population?
Q4: What is the average family size?
A1: 360 yard**2
A2: 7.2e+9
A3: 4=Q4 -> A3 | F3=Q3 -> A2 | F2=Q2 -> Div (Q3, Q4)=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 6.48e+11 yard**2