jeggers/fermi huggingface dataset:
Question: If I were to take an English penny, melt it down, then somehow stretch it out into a perfect hollow sphere 1 atom thick, how large would this sphere be?
CONTEXT:
F1: The volume of the penny is 0.93 in**3
F2: The thickness of the penny is 3.9e-9 in
PROGRAM:
Q1: What is the volume of a single penny?
Q2: What is the thickness of the penny which is in the form of a hollow sphere now?
A1: 0.93 in**3
A2: 3.9e-9 in=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div (Q1, Q2)
Answer: 2.3e+8 in**2
Question: How long would it take to pluck each hair out of your body one at a time?
CONTEXT:
F1: It takes around 5 seconds to pluck a single strand of hair.
F2: The entire human body has 5e+6 hair follicles.
PROGRAM:
Q1: How long does it take to pluck a single strand of hair?
Q2: How many hairs do we have on our body?
A1: 5 s
A2: 5e+6=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 2.5e+7 s
Question: How many air molecules are in this lecture hall?
CONTEXT:
F1: The volume of the lecture hall is 24000 metre cube
F2: The volume of a single air molecule is 3e-24 cubic meter
PROGRAM:
Q1: What is the volume of the lecture hall?
Q2: What is the volume of a single air molecule?
A1: 24000 m**3
A2: 3e-24 m**3=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div (Q1, Q2)
Answer: 8.00E+27
Question: A cure for all cancers would increase the average American lifespan by how many years?
CONTEXT:
F1: The average american lifespan is 78 years.
F2: Cancer cuts down the average lifespan of a person by 5 years.
PROGRAM:
Q1: What is the average american lifespan?
Q2: Cancer cuts down the average lifespan by how many years?
A1: 78
A2: 5=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Add (Q1, Q2)
Answer: 83
Question: What is the number of queen-size mattresses it would take to fill the star Betelgeuse which has 18 times the mass of the Sun?
CONTEXT:
F1: The mass of a queen size mattress is 140 pounds
F2: The mass of the sun is 4.3e+30 pounds.
F3: The ratio of mass of Betelgeuse to mass of sun is 18
PROGRAM:
Q1: What is the mass of the star Betelgeuse?
Q2: What is the mass of a queen size mattress?
Q3: What is the mass of the sun?
Q4: What is the ratio of the mass of Betelgeuse to mass of sun?
A1: 140 lb
A2: 4.3e+30 lb
A3: 18=Q4 -> A3 | F3=Q3 -> A2 | F2=Q1 -> Mul (Q4, Q3)=Q2 -> A1 | F1
P: Div (Q1, Q2)
Answer: 5.50E+29
Question: If a human was 0.07324219 millimeters large, how long would it take it to walk a mile?
CONTEXT:
F1: An average human takes around 20 minutes to walk a mile. Length of stride is directly proportional to the height of the person.
F2: The height of the average human i s 1730 mm.
F3: The height of the given human is 0.07324219 mm.
PROGRAM:
Q1: How long does it take for a human of normal height to walk a mile?
Q2: What is the ratio of the height of the normal human to that of the given human?
Q3: What is the height of a normal human?
Q4: What is the height of the given human?
A1: 20 min
A2: 1730 mm
A3: 0.07324219 mm=Q4 -> A3 | F3=Q3 -> A2 | F2=Q2 -> Div (Q3, Q4)=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 472405.3 min
Question: The grass on the lawn grows 10 cm in height during the week between mowings. Estimate the mass, g, of the grass clippings collected each week.
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.
PROGRAM:
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=Q4 -> A3 | F3=Q3 -> A2 | F2=Q1 -> Mul (Q3, Q4)=Q2 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 6000 g
Question: How much force is required to move a planet with a punch?
CONTEXT:
F1: The force required to move an object from its position could be any force that is greater than the force that the object is exerting opposite to us (in this case, it is the gravitational force) (e.g. 1 N).
F2: The average gravitational force of a planet is 3e+22 N
PROGRAM:
Q1: What is the force required to move the object from its position?
Q2: What is the average gravitational force of a planet?
A1: 1 N
A2: 3e+22 N=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Add (Q1, Q2)
Answer: 3e+22 N
Question: What is the average pressure, atm, at the bottom of the Earth's oceans?
CONTEXT:
F1: The surface area of the oceans is 5.10082e+20 m**2
F2: The total mass of ocean cover is 1.3e+21 kg
F3: The acceleration due to gravity is 10 m/sec**2
F4: One atm in 101325 pascals
PROGRAM:
Q1: What is the force acting on the bottom of the oceans?
Q2: What is the surface area of the oceans?
Q3: What is the mass of the ocean cover?
Q4: What is the acceleration due to gravity?
Q5: The pressure acting on bottom of the oceans in Pascals
Q6: How many pascals are in an atm?
A1: 5.10082e+20 m**2
A2: 1.3e+21 kg
A3: 10 m*s**-2
A4: 9.8e-6 atm*kg**-1*m**1*s**2=Q4 -> A3 | F3=Q3 -> A2 | F2=Q1 -> Mul (Q3, Q4)=Q2 -> A1 | F1=Q5 -> Div(Q1, Q2)=Q6 -> A4 | F4
P: Mul (Q5, Q6)
Answer: 2.4e-4 atm
Question: How many port-a-potties should be planned for the next million-man-march?
CONTEXT:
F1: A total of 1000000 people participate in a million march
F2: A single port-a-potty can service 50 people.
PROGRAM:
Q1: How many people participate in a million march?
Q2: How many people can one port-a-potty service?
A1: 1000000
A2: 50=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div (Q1, Q2)
Answer: 20000
Question: What is the energy needed to evaporate the oceans?
CONTEXT:
F1: The volume of the oceans is 1.3e+24 cc
F2: The energy required to evaporate 1cc of water is 540 calories
PROGRAM:
Q1: What is the volume of the oceans?
Q2: What is the energy required to evaporate 1 cc of water?
A1: 1.3e+24
A2: 540 cal=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 7e+26 cal
Question: What is the total mass of all paper in the world?
CONTEXT:
F1: The mass of a single sheet of paper is 5g
F2: There are at least 500 pages in a single book.
F3: An average human has at least 5 books with them.
F4: The total number of people in the world are 7.2e+9
PROGRAM:
Q1: What is the mass of a single sheet of paper?
Q2: What is the total number of papers in the world?
Q3: How many total books are there in the world?
Q4: How many pages does a single book have?
Q5: How many people are there in the world?
Q6: How many books does an average human possess?
A1: 5g
A2: 500
A3: 5
A4: 7.2e+9=Q6 -> A3 | F3=Q5 -> A4 | F4=Q3 -> Mul (Q5, Q6)=Q4 -> A2 | F2=Q2 -> Mul (Q3, Q4)=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 9e+13 g
Question: How many ants would fit in to The Shard?
CONTEXT:
F1: The volume of an ant is 1e-8 metre cube
F2: The surface area of The Shard is 398490 sq. metre
F3: The height of a Shard is 244 metres
PROGRAM:
Q1: What is the total volume of The Shard?
Q2: What is the total volume of an ant?
Q3: What is the surface area of The Shard?
Q4: What is the height of The Shard?
A1: 1e-8 m**3
A2: 398490 m**2
A3: 244m=Q4 -> A3 | F3=Q3 -> A2 | F2=Q1 -> Mul (Q3, Q4)=Q2 -> A1 | F1
P: Div (Q1, Q2)
Answer: 9.70E+15
Question: What is the total US salary?
CONTEXT:
F1: The per capita income in the US is 63051 USD
F2: There are around 123e+6 employees in the US
PROGRAM:
Q1: What is the income per capita in the US?
Q2: How many full time employees are there in the US?
A1: $63051
A2: 1.23e+8=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: $7755273000000
Question: What is the surface area of the Earth in square miles?
CONTEXT:
F1: The volume of Earth is 259875159532 cubic miles
F2: The depth of earth is 3958 miles
PROGRAM:
Q1: What is the volume of the Earth?
Q2: What is the depth of the earth?
A1: 259875159532 miles**3
A2: 3958 miles=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div (Q1, Q2)
Answer: 65658200 miles**2
Question: Assuming that it has the same density as a gold nucleus, what is the diameter, cm, of a neutron star that has the same mass as the Earth?
CONTEXT:
F1: The relation between 4 times the diameter cube and diameter is a cube root.
F2: The mass of neutron star is 6e+24 kg
F3: The density of neutron star is 0.0197 kg/centimeter cube
PROGRAM:
Q1: What is the 4*diameter cube of the neutron star?
Q2: What is the relation between 4*diameter cube and the diameter of the neutron star?
Q3: What is the mass of the neutron star?
Q4: What is the density of the neutron star?
A1: 6e+24 kg
A2: 0.0197 kg*cm**-3
A3: 1/3=Q4 -> A2 | F2=Q3 -> A1 | F1=Q1 -> Div (Q3, Q4)=Q2 -> A3 | F3
P: Pow (Q1, Q2)
Answer: 6.7e+8 cm
Question: How much for 60 acres of land in South Dakota?
CONTEXT:
F1: The acre of land in South Dakota costs around 1252 USD.
F2: 60 acres of land are to be bought in South Dakota.
PROGRAM:
Q1: How much does an acre of land cost in South Dakota?
Q2: What is the quantity of land to be purchased?
A1: $1252 acres**-1
A2: 60 acres=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: $75120
Question: What is the ratio of the Energy of a Tsunami to the energy of an Atom Bomb?
CONTEXT:
F1: The energy of a Tsunami is 10e+17 Joules
F2: The energy of an Atom Bomb is 1e+12 Joules.
PROGRAM:
Q1: What is the energy of a Tsunami?
Q2: What is the energy of an Atom Bomb?
A1: 10e+17 J
A2: 1e+12 J=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div (Q1, Q2)
Answer: 1.00E+06
Question: If the average water vapor content of the atmosphere is 1% by weight, how many cubic miles of water is this equal to?
CONTEXT:
F1: The amount of water in form of vapour in atmosphere is 3094 mi**3
F2: Total percent of weight is 100 %
F3: Percent of weight lost is 1%
PROGRAM:
Q1: What is the amount of water present in the atmosphere?
Q2: What percent of water vapour content weight is still intact in the atmosphere?
Q3: What is the total percent of weight?
Q4: What percent of weight is lost?
A1: 3094 mi**3
A2: 1
A3: 0.1=Q4 -> A3 | F3=Q3 -> A2 | F2=Q2 -> Mul (Q3, Q4)=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 309.4 mi**3
Question: If the oceans were frozen into 1 inch ice cubes, how many cubes would there be?
CONTEXT:
F1: The volume of the water content in the oceans is 8.1e+22 cubic inch
F2: The volume of the ice cube is 1 cubic inch
PROGRAM:
Q1: What is the volume of the ocean cover?
Q2: What is the volume of an ice cube?
A1: 8.1e+22 in**3
A2: 1 in**3=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div(Q1, Q2)
Answer: 8.10E+22
Question: How many individual life forms are there on Earth?
CONTEXT:
F1: Living organisms are classified into 7 different biological classes.
F2: There are approximately 1242000 different life forms in each biological class.
PROGRAM:
Q1: How many different biological classes are living forms classified into?
Q2: How many life forms do we have per biological class?
A1: 7
A2: 1242000=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 8694000
Question: If we stopped learning new things as a species right now, how long would it take someone of average intelligence to learn all of human knowledge?
CONTEXT:
F1: The total information that can be learnt by our brain is 10e+70 bits.
F2: The rate at which an average human learns is 10e+15 bits per second.
PROGRAM:
Q1: What is the rough estimate of total information to be learnt about the world?
Q2: At what rate does an average human being learn new things?
A1: 10e+70 bits
A2: 10e+15 bits*s**-1=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div (Q1, Q2)
Answer: 1e+55 s
Question: What is the volume, cc, of blood in a healthy new-born baby?
CONTEXT:
F1: The mass of blood in a new born baby is 75 grams
F2: The density of blood is 0.994 gram per cc
PROGRAM:
Q1: What is the mass of blood in a new born baby?
Q2: What is the density of blood in a new born baby?
A1: 75 g
A2: 0.994 g*cm**-3=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div (Q1, Q2)
Answer: 75.45 cm**3
Question: How many grams of steam would be needed to melt a cubic foot of ice?
CONTEXT:
F1: The weight equivalent of one cubic foot of ice is 28300 gm
F2: The density of earth is 5.5e+12 kg per cubic cm
PROGRAM:
Q1: What is the weight equivalent of one cubic foot of ice?
Q2: How many grams of ice can 1 gram of steam melt?
A1: 28300 gm
A2: 8 gm=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div (Q1, Q2)
Answer: 3537
Question: How large of a cotton cone would I need to skydive into it from 10km up (no parachute) and NOT be stopped by the ground?
CONTEXT:
F1: The approximate impact a jump from skydiving (10 km high jump) causes is 6e+6 J
F2: A metre cube of cotton cone can handle an impact of around 2 J (estimate)
PROGRAM:
Q1: How much would the impact be after jumping from a 10 km high building?
Q2: How much impact can a metre cube of cotton cone sustain?
A1: 6e+6 J
A2: 2 J*m**-3=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div (Q1, Q2)
Answer: 3e+6 m**3
Question: How much of the atmosphere is human farts?
CONTEXT:
F1: A fart contains 0.2 N force.
F2: The impact area of a fart is 0.01 metre square
F3: 100000 pascals equal 1 atm.
PROGRAM:
Q1: How much force does a fart contain?
Q2: What is the impact area of a fart?
Q3: How many Pascals is 1 atm?
Q4: What is the pressure of a fart in pascals?
A1: 0.2 N
A2: 0.001 m**2
A3: 100000 N*m**-2*atm**-1=Q2 -> A2 | F2=Q1 -> A1 | F1=Q4 -> Div (Q1, Q2)=Q3 -> A3 | F3
P: Div (Q4, Q3)
Answer: 0.002 atm
Question: How many adult humans are needed to be a mass equivalent to the onions consumed by the U.S in the year 2000?
CONTEXT:
F1: The total food consumption of the US in 2000 is 1.7e+11 pounds.
F2: 10 percent of every food item is made of onions.
F3: The average mass of adult human is 136 pounds.
PROGRAM:
Q4: What is the average mass of an adult human?
Q3: How many pounds of onions were eaten in the U.S. in 2000?
Q1: What is the total food consumption of the US in 2000?
Q2: What percent of every food item contains onions in them?
A1: 1.7e+11 pounds
A2: 0.1
A3: 136 pounds=Q2 -> A2 | F2=Q1 -> A1| F1=Q3 -> Mul (Q1, Q2)=Q4 -> A3 | F3
P: Div (Q3, Q4)
Answer: 1.25E+08
Question: If you posted an advertisement on a billboard on Lincolnway for one month, how many people would be likely to see it?
CONTEXT:
F1: The number of days in the month is 30
F2: The average number of passengers in a car is 2.
F3: The average number of vehicles passing Lincolnway daily is around 300000.
PROGRAM:
Q1: How many people see the advertisement in a day?
Q2: How many days are there in a month?
Q3: What is the average number of passengers in a car?
Q4: What is the average number of vehicles passing Lincolnway daily?
A1: 30
A2: 2
A3: 300000=Q4 -> A3 | F3=Q3 -> A2 | F2=Q1 -> Mul (Q3, Q4)=Q2 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 18000000
Question: How many times would my 22 inch rims go around if I could drive around the equator of the Earth?
CONTEXT:
F1: The average RPM of the wheels at 40 kmph is 3000
F2: The total duration of the journey is 60000 minutes
PROGRAM:
Q1: What is the average RPM of the journey?
Q2: What is the duration of the journey?
A1: 3000
A2: 60000=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 180000000
Question: If all the trash produced in the US in one year is put in a landfill, what percentage of the US would it occupy?
CONTEXT:
F1: The total surface area of the US is 9.8e+6 km**2
F2: An average of 3.6e+11 kgs of trash is produced in the US annually.
F3: 2.5e-6 km**2 areas are occupied by a kg of trash can.
F4: The multiplicating factor to convert fraction to hundred is 100.
PROGRAM:
Q1: What is the area occupied by the total garbage?
Q2: What is the total surface area of the US?
Q3: How much trash is produced in the US every year?
Q4: What is the surface area occupied by a kg of trash?
Q5: What is the fraction of the area of the landfill to the total surface area of the US?
Q6: What is the multiplicating factor to convert fraction to percent?
A1: 9.8e+6 km**2
A2: 3.6e+11 kg
A3: 2.5e-6 km**2/kg
A4: 100=Q4 -> A3 | F3=Q3 -> A2 | F2=Q1 -> Mul (Q3, Q4)=Q2 -> A1 | F1=Q5 -> Div (Q1, Q2)=Q6 -> A4 | F4
P: Mul (Q5, Q6)
Answer: 9.18
Question: Under ideal conditions, the bacterium eNSO can reproduce in 10 minutes. How many eNSO can claim the same ancestor after 24 hours?
CONTEXT:
F1: The rate at which it reproduces is 2 offspring per reproduction.
F2: There are 24 hours in a day.
F3: There are 60 minutes in an hour.
F4: The bacteria reproduces for every 10 minutes.
PROGRAM:
Q1: What is the rate at which the bacteria reproduces?
Q2: How many times will the bacteria reproduce in the day?
Q3: How many hours are there in a day?
Q4: How many times does the bacteria reproduce in an hour?
Q5: How many minutes are there in an hour?
Q6: For how many minutes, does the bacteria reproduce?
A1: 2
A2: 24 hours
A3: 60 minutes/hour
A4: 10 minutes=Q6 -> A4 | F4=Q5 ->A3 | F3=Q4 -> Div (Q5, Q6)=Q3 -> A2 | F2=Q2 -> Mul (Q3, Q4)=Q1 -> A1 | F1
P: Pow (Q1, Q2)
Answer: 2.23E+43
Question: How far does a bumblebee fly each day?
CONTEXT:
F1: The bee flies for a total of around 4 hours each day.
F2: The average speed at which a bee flies is 15 miles per hour
PROGRAM:
Q1: How many hours does the bee spend on flying each day?
Q2: What is the average speed at which a bee flies?
A1: 4 hour
A2: 15 miles*hour**-1=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 60 miles
Question: What is the mass, g, of a gold atom?
CONTEXT:
F1: The volume of gold atom is 1.2e-23 cc
F2: The density of gold atom is 19.32 g/cc
PROGRAM:
Q1: What is the volume of the gold atom?
Q2: What is the density of the gold atom?
A1: 1.2e-23 cm**3
A2: 19.32 g*cm**-3=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 2.3e-22 g
Question: What is the area (square miles) covered by the earth's oceans?
CONTEXT:
F1: The total volume of earth's oceans is 300000000 cubic miles
F2: The average depth of earth's oceans is 2.3 miles
PROGRAM:
Q1: What is the total volume of earth's oceans?
Q2: What is the depth of earth's oceans?
A1: 300000000 miles**3
A2: 2.3 miles=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div(Q1, Q2)
Answer: 130434782 miles**2
Question: What are the CO2 emissions of the US wildfires so far?
CONTEXT:
F1: Around 12e+6 wildfires have taken place in the US till now.
F2: The average CO2 emission in a wildfire is 544311 kg of CO2.
PROGRAM:
Q1: How many wildfires have taken place in the US until now?
Q2: What is the average CO2 emission in a single wildfire?
A1: 12e+6
A2: 544311 kg=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 6.5e+12 kg
Question: How many Mars bars would it take, lined up end to end, to reach from London to Birmingham?
CONTEXT:
F1: The distance between London to Birmingham is 202000 metres.
F2: The length of a Mars bar is 0.12 metres
PROGRAM:
Q1: What is the distance between London to Bermingham in metres?
Q2: What is the length of a Mars bar in metres?
A1: 202200 m
A2: 0.12 m=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div(Q1, Q2)
Answer: 1685000
Question: How much energy does a typical human consume in a lifetime?
CONTEXT:
F1: The average life expectancy is 72 years.
F2: An average human consumes 2000 calories of energy per day.
F3: There are 365 days in a year.
PROGRAM:
Q1: What is the average life expectancy?
Q2: How much energy does a human consume every year?
Q3: How much energy does a human consume every day?
Q4: How many days are there in a year?
A1: 72 years
A2: 2000 cal/day
A3: 365 day/year=Q4 -> A3 | F3=Q3 -> A2 | F2=Q2 -> Mul (Q3, Q4)=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 52560000 cal
Question: How many "conversations" are happening in Reddit comment sections at any given time?
CONTEXT:
F1: Around 1e+6 posts are uploaded on reddit per second (assumed)
F2: The average engagement of a single post on reddit is 0.5 (assumed)
PROGRAM:
Q1: How many posts are uploaded on Reddit each second?
Q2: What is the average engagement of a single reddit post?
A1: 1e+6
A2: 0.5=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 5.00E+05
Question: How many minutes does the average student play video games per year?
CONTEXT:
F1: There are 60 minutes in an hour.
F2: An average student plays video games for a total of 4 hours per day.
F3: There are 365 days in a year.
PROGRAM:
Q4: How many days are there in a year?
Q3: How many minutes does the average student play video games per day?
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
A3: 365=Q2 -> A2 | F2=Q1 -> A1 | F1=Q3 -> Mul (Q1, Q2)=Q4 -> A3 | F3
P: Mul (Q3, Q4)
Answer: 87600
Question: What is the volume, m3, of the road bed of a highway 250km long?
CONTEXT:
F1: The length of the highway is 250000 m long.
F2: The width of an average highway is 3.7 m.
F3: The average thickness of a roadbed is 0.2 m
PROGRAM:
Q1: What is the length of the highway?
Q2: What is the surface area of a part of the road?
Q3: What is the width of the highway?
Q4: What is the average thickness of a roadbed?
A1: 250000 m
A2: 3.7 m
A3: 0.2 m=Q4 -> A3 | F3=Q3 -> A2 | F2=Q2 -> Mul (Q3, Q4)=Q1 -> A1 | F1
P: Mul (Q2, Q1)
Answer: 185000 m**3
Question: Silas Marner saved his pennies until they covered the 48 contiguous states of the United States. How many pennies did he have?
CONTEXT:
F1: The surface area of the 48 contiguous states is 3119884 square miles
F2: The surface area covered by a penny is 1.09267e-10 square miles
PROGRAM:
Q1: What is the surface area of the 48 contiguous states?
Q2: What is the surface area covered by a penny?
A1: 3119884 miles**2
A2: 1.09267e-10 miles**2=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div (Q1, Q2)
Answer: 2.90E+16
Question: How many pennies are needed to equal the height of the tallest building in the world?
CONTEXT:
F1: The height to be matched is 828 meters
F2: The thickness of a penny is 0.0015 metes
PROGRAM:
Q1: What is the height of the tallest building in the world?
Q2: What is the thickness of a penny?
A1: 828 m
A2: 0.0015 m=Q2 -> A2|F2=Q1 -> A1|F1
P: Div(Q1, Q2)
Answer: 552000
Question: How many hot dogs are bought at all the Major League Baseball games for one season?
CONTEXT:
F1: 162 games are played each season in an MLB game
F2: 25% of the people buy a hot-dog at the MLB game.
F3: The average attendance at an MLB game is 28000
PROGRAM:
Q1: How many games are played each season in an MLB game?
Q2: How many hot-dogs are sold in a single game in an MLB season?
Q3: What fraction of people buy a hot-dog during the game?
Q4: What is the average attendance at an MLB game?
A1: 162
A2: 0.25
A3: 28000=Q4 -> A3 | F3=Q3 -> A2 | F2=Q2 -> Mul (Q3, Q4)=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 1134000
Question: How many acres of land would need to be devoted to cultivating wheat to sustain a population of one million?
CONTEXT:
F1: A single acre of land produces 342 kgs of food every year.
F2: An average person eats 912 kgs of food every year.
F3: The population of the civilisation is 1e+6
PROGRAM:
Q1: What is the total food consumption of the population in a year?
Q2: How much food is grown annually in an acre of farmland?
Q3: How much food does an average human eat each year?
Q4: What is the population of the civilisation?
A1: 342 kg/acre
A2: 912 kg
A3: 1e+6=Q4 -> A3 | F3=Q3 -> A2 | F2=Q2 -> Mul (Q3, Q4)=Q1 -> A1 | F1
P: Div (Q2, Q1)
Answer: 2666666 acres
Question: What is the surface area of the skin of an average human?
CONTEXT:
F1: The volume of an average human is 62000 cc
F2: The height of an average human is 170 cm
PROGRAM:
Q1: What is the volume of an average human?
Q2: What is the height of an average human?
A1: 62000 cm**3
A2: 170 cm=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div (Q1, Q2)
Answer: 365 cm**2
Question: If it rained at the rate of a 1/4 inch per hour, how many days would it take to fill a 6 lane swimming pool?
CONTEXT:
F1: The volume of water accumulated if it is raining ¼ inch an hour for a day is 6700 gal*day**-1
F2: The volume of 6 lane swimming pool is 660000 gal
PROGRAM:
Q1: What is the volume of water accumulated if it is raining ¼ inch an hour for a day?
Q2: What is the volume of a 6 lane swimming pool?
A1: 6700 gal*day**-1
A2: 660000 gal=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div (Q2, Q1)
Answer: 98.5 days
Question: How much heat do Facebook's servers put out?
CONTEXT:
F1: 1360 BTU per hour is generated by one server.
F2: Facebook is equipped with 30000 servers.
PROGRAM:
Q1: How much heat does one server put out?
Q2: How many servers are equipped to handle Facebook's traffic?
A1: 1360 BTU per hour
A2: 30000=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 40800000 BTU*hour**-1