jeggers/fermi huggingface dataset:
Question: How much force would it take to "derail" Earth from its predetermined course around sun?
CONTEXT:
F1: The orbital velocity of earth is 29.8 km/s
F2: The numerical factor to calculate square of a number is 2
F3: The mass of earth is 6e+24 kg
F4: The radius of earth is 6400 km
PROGRAM:
Q1: What is the square of orbital velocity of earth?
Q2: What is the ratio of mass and radius of earth?
Q3: What is the orbital velocity of earth?
Q4: What is the numerical factor to calculate the square of a number?
Q5: What is the mass of earth?
Q6: What is the radius of earth?
A1: 29.8 km*s**-1
A2: 2
A3: 6e+24 kg
A4: 6400 km=Q6 -> A4 | F4=Q5 -> A3 | F3=Q2 -> Div (Q5, Q6)=Q4 -> A2 | F2=Q3 -> A1 | F1=Q1 -> Pow (Q3, Q4)
P: Mul (Q1, Q2)
Answer: 8.3e+23 kg*km*s**-2
Question: Suppose that the gas molecules in a liter of air were rescaled upwards so that each atom was the size of a tennis ball. What would be the average spacing between molecules?
CONTEXT:
F1: The distance between two air particles is 4e-9 m
F2: The size of tennis ball is 1.3e-4 m**3
F3: The size of an air particle is 22 m**3
PROGRAM:
Q1: What is the distance between two air particles?
Q2: What is the ratio of size of tennis ball to size of air particles
Q3: What is the size of a tennis ball?
Q4: What is the size of an air particle?
A1: 4e-9 m
A2: 1.3e-4 m**3
A3: 22 m**3=Q4 -> A3 | F3=Q3 -> A2 | F2=Q2 -> Div (Q3, Q4)=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 2.36e-14 m
Question: How many coins have ever been minted?
CONTEXT:
F1: There are around 250 coin minting facilities in the world.
F2: An average coin minting facility is 120 years old.
F3: An average of 1e+8 coins are minted each year by a facility.
PROGRAM:
Q1: How many coin minting facilities are there in the world?
Q2: How many coins did an average coining minting facility mint till now?
Q3: For how many years has an average minting facility been minting coins?
Q4: How many coins does a minting facility mint in a year?
A1: 250
A2: 120
A3: 1e+8=Q4 -> A3 | F3=Q3 -> A2 | F2=Q2 -> Mul (Q3, Q4)=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 3000000000000
Question: What is the dollar value of gold in a solid gold tooth?
CONTEXT:
F1: The dollar value of 1 cc gold is 1100 USD
F2: The volume of gold tooth is 0.4 cc
PROGRAM:
Q1: What is the dollar value of gold for 1 cc?
Q2: What is the volume of a gold tooth?
A1: $1100 cm**-3
A2: 0.4 cm**3=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: $440
Question: How much carbon dioxide is converted into oxygen each day by the vegetation in a typical yard.
CONTEXT:
F1: 2.25 trees can fit inside a yard
F2: A mature tree produces 48 pounds of O2 every year from CO2.
F3: There are 365 days in a year
PROGRAM:
Q1: What is the number of trees that can fit inside a yard?
Q2: What is the amount of CO2 converted to O2 by a single tree in a day?
Q3: What is the amount of CO2 converted to O2 by a single tree in a year?
Q4: How many days in a year?
A1: 2.25
A2: 48 pounds
A3: 365=Q4 -> A3 | F3=Q3 -> A2 | F2=Q2 -> Div(Q3, Q4)=Q1 -> A1 | F1
P: Mul(Q1, Q2)
Answer: 0.295 pounds
Question: On average, across all phones, whats a rough estimate of battery life consumed just for receiving a call on vibrate?
CONTEXT:
F1: An average phone vibration while receiving a call lasts 20 s
F2: Around 0.0025 A*h of battery life is consumed per second while vibrating on receiving a call [estimate]
PROGRAM:
Q1: How long does the vibrate last for receiving a call on the phone?
Q2: How much of the battery life is getting consumed for each vibration of the phone while receiving a call?
A1: 20 s
A2: 0.0025 Ah*s**-1=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 0.05 Ah
Question: The Gulf Stream is about 50 miles wide and 1500 feet deep and flows past Miami at 5 mph. How many tons of water in the Gulf Stream pass by Miami in a minute?
CONTEXT:
F1: The conversion rate from cubic miles to tons is 1471979520
F2: The width of the stream is 50 mi
F3: The depth of the stream is 0.2 mi
F4: The speed of the stream is 0.08 mi*min**-1
F5: The duration of the stream is 1 min
PROGRAM:
Q1: What is the product of width and depth of the stream?
Q2: What is the length of the stream?
Q3: What is the width of the stream?
Q4: What is the depth of the stream?
Q5: What is the speed of the stream?
Q6: What is the duration asked in the question?
Q7: What is the quanity of water in cubic miles?
Q8: What is the conversion rate from cubic miles to tons?
A1: 1471979520 ton*mi**-3
A2: 50 mi
A3: 0.2 mi
A4: 0.08 mi*min**-1
A5: 1 min=Q6 -> A5 | F5=Q5 -> A4 | F4=Q2 -> Mul (Q5, Q6)=Q4 -> A3 | F3=Q3 -> A2 | F2=Q1 -> Mul (Q3, Q4)=Q7 -> Mul (Q1, Q2)=Q8 -> A1 | F1
P:Mul (Q7, Q8)
Answer: 1177583616 ton
Question: Ali El-Ectrical is an Engineering student at your university taking a "normal" load (for Engineers!) and paying full tuition. Estimate how much he is paying for each hour of class time he spends with an instructor over one semester.
CONTEXT:
F1: The average tuition fee in the US is 25000 USD
F2: A typical semester runs for 16 weeks
F3: The number of hours that Ali goes to classes in a week is 30.
PROGRAM:
Q1: What is the total amount that Ali is paying as his tuition fee?
Q2: How many total class hours are there in a typical semester?
Q3: For how many weeks does a semester run?
Q4: What is the total number of hours in a week that Ali goes to classes?
A1: 25000
A2: 16
A3: 30=Q4 -> A3 | F3=Q3 -> A2 | F2=Q2 -> Mul (Q3, Q4)=Q1 -> A1 | F1
P: Div(Q1, Q2)
Answer: $52
Question: How powerful must a laser get before it no longer gets reflected by a mirror and simply burns through it instead?
CONTEXT:
F1: The power of the highest power laser is 1e+12 W
F2: The new laser should be atleast 1e+6 times the current most powerful laser for a mirror to absorb 100% light and break itself.
PROGRAM:
Q1: What is the highest power of a laser?
Q2: Inorder to be 100% absorbing, how powerful should the laser be compared to the current highest power laser?
A1: 1e+12 W
A2: 1e+6=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 1e+18 W
Question: For one day, what is the volume in cubic miles of the average rainfall on the Earth?
CONTEXT:
F1: The quantity of average daily rainfall is 300e+6 L
F2: The conversion factor from liters to cubic miles is 2.3e-13 mi**3
PROGRAM:
Q1: What is the quantity of earth's average rainfall in liters?
Q2: What is the conversion factor from liters to cubic miles?
A1: 300e+6 L
A2: 2.3e-13 mi**3*L**-1=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 6.9e-5 mi**3
Question: How long would a year be if we orbited the sun at 100 km/sec?
CONTEXT:
F1: According to Kepler's third law, length of the year is directly proportional to the cube of the radius while the velocity term is absent in the equation.
F2: The current duration of the year is 365 days.
PROGRAM:
Q1: What is the significance of velocity in calculating the duration of the year?
Q2: What is the current duration of the year?
A1: 1
A2: 365 days=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 365 days
Question: How tall would a monolith/structure/mountain have to be to be seen from the opposite end of the US?
CONTEXT:
F1: The height of tallest structure in the world i s 8849m
F2: The approximate ratio of tallest building to be built to be visible from the other end of the US to the height of the tallest structure in the world is 10.
PROGRAM:
Q1: What is the height of the tallest visible structure in the world?
Q2: Considering the size of the US, what would be the ratio of the monolith to be built and the height of the tallest structure in the world?
A1: 8849 m
A2: 10=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 88490 m
Question: How many tons of oxygen atoms are contained in a cubic mile of ocean?
CONTEXT:
F1: The volume of a cubic mile of an ocean is 330000000 cubic miles
F2: The volume of a single oxygen atom 1.7e-7 cubic miles per mole
F3: The numerical value of a ton is 100
PROGRAM:
Q1: What is the volume of a cubic mile of an ocean?
Q2: What is the volume of a single oxygen atom?
Q3: What is the numerical value of a ton?
Q4: What is the total number of oxygen atoms?
A1: 330000000 m**3
A2: 1.7e-7 m**3
A3: 100 ton**-1=Q2 -> A2 | F2=Q1 -> A1 | F1=Q4 -> Div (Q1, Q2)=Q3 -> A3 | F3
P: Div (Q4, Q3)
Answer: 2e+13 ton
Question: How many $1 coins could you fit inside a suitcase?
CONTEXT:
F1: The average volume of a suitcase is 75000 cubic cm
F2: The average volume of a 1 euro coin is 3.8 cubic cm
PROGRAM:
Q1: What is the average volume of a single suitcase?
Q2: What is the average volume of a 1 euro coin?
A1: 75000 cm**3
A2: 3.8 cm**3=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div(Q1, Q2)
Answer: 19740
Question: Approximately how much space have we "added" to Earth by means of building vertically?
CONTEXT:
F1: There are 100e+8 buildings in the world (including residential and commercial)
F2: The average volume of a building on earth is 268700 ft**3
PROGRAM:
Q1: How many buildings are there in the world?
Q2: What is the average volume of a building on earth?
A1: 100e+8
A2: 268700 ft**3=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 2.68e+15 ft**3
Question: How much dental floss does a prisoner need to escape over a wall?
CONTEXT:
F1: The number of boxes that would make the equivalent of a rope capable of making the prson cross the wall is 200.
F2: The average length of a floss is 25 metres.
PROGRAM:
Q1: What is the number of boxes that would make the equivalent of a rope capable of making the prson cross the wall?
Q2: What is the total length of floss available in a box?
A1: 200
A2: 25 m=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 5000 m
Question: How many swimming pools can be filled by the blood donated each year in the United States?
CONTEXT:
F1: The volume of an average swimming pool is 31148 Litres
F2: The volume of blood donated by Americans each year is 2115000 litres
PROGRAM:
Q1: What is the volume of an average swimming pool?
Q2: What is the volume of blood donated by Americans each year?
A1: 31148 L
A2: 2115000 L=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div(Q2, Q1)
Answer: 68
Question: How much money is spent in the school canteen over the year?
CONTEXT:
F1: There are 516 students in a school.
F2: An average student spends on an average of 2 USD per day at the canteen.
F3: There are 300 days in a school year.
PROGRAM:
Q3: How much money is spent in the school canteen each day?
Q1: How many students does a school have in total?
Q2: How much does an average student spend in the school canteen each day?
Q4: How many days are there in a school-year?
A1: 516
A2: 2
A3: 300=Q2 -> A2 | F2=Q1 -> A1 | F1=Q3 -> Mul (Q1, Q2)=Q4 -> A3 | F3
P: Mul (Q3, Q4)
Answer: $309600
Question: How much direct microwave radiation would it take to destroy most electronics?
CONTEXT:
F1: The maximum radiation generated by a microwave is 300 GHz. Almost all the electronics cannot sustain microwave radiation and get destroyed when exposed to it.
PROGRAM:
A1: 300 GHz
P: A1 | F1 
Answer: 300 GHz
Question: If, in theory, Kinetic energy dissipates part of it into both Thermal energy and Sound energy, what would be the least amount of kinetic energy needed to fry a chicken with a kick and how loud it would be?
CONTEXT:
F1: The average energy to fry a chicken in the microwave is 0.5e+6 J
F2: The average energy in a drum kick is 10 J
PROGRAM:
Q1: What is the energy required to fry a chicken?
Q2: What is the average energy produced by a drunk kick?
A1: 0.5e+6 J
A2: 10 J=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div (Q1, Q2)
Answer: 5.00E+04
Question: Estimate the mass, in grams, of the fans in the stadium attending tomorrow's St. Louis Rams-Philadelphia Eagles football game.
CONTEXT:
F1: The average mass of a fan is 70000 grams
F2: The capacity of the stadium is 65000
PROGRAM:
Q1: What is the average mass of a fan?
Q2: What is the capacity of the stadium?
A1: 65000
A2: 70000 g=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q2, Q1)
Answer: 4550000000 g
Question: How many tons of CO2 and H2O does the U.S. population expel in a year?
CONTEXT:
F1: The US population is responsible for 5.1e+9 tons of CO2 emitted last year
F2: The US population is responsible for the usage of 1.1e+13 tons of water every year.
PROGRAM:
Q1: How many pounds of CO2 does the US population expel each year?
Q2: How many pounds of H2O does the US population expel each year?
A1: 5.1e+9 ton
A2: 1.1e+13 ton=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Add (Q2, Q1)
Answer: 11005100000000 ton
Question: how much muscle would you need all over your body to be bulletproof or at least, extremely bulletresistant?
CONTEXT:
F1: The strength ratio of the material in bulletproof vests to the holding strength of muscles is 2:1 [assumption]
F2: The length of cushioning in a bullet proof vest is around 5 cm.
PROGRAM:
Q1: What is the strength ratio of the material in bullet proofs to holding strength of muscles?
Q2: What is length of cushioning in bullet proof vests?
A1: 2
A2: 5 cm=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 10 cm
Question: One suggestion for putting satellites into orbit cheaply without using rockets is to build a tower 300 km high containing an elevator. One would put the payload in the elevator, lift it to the top, and just step out into orbit. Ignoring other problems (such as structural strain on the tower), estimate the weight of such a tower if its base were the size of Washington DC and it were made of steel.
CONTEXT:
F1: The density of steel is 8e+9 kg/km**3
F2: The size of Washington DC is 177 km**2
F3: The height of the tower is 300 km
PROGRAM:
Q1: What is the total volume of the tower?
Q2: What is the density of steel?
Q3: What is the surface area of Washington DC?
Q4: What is the height of the tower?
A1: 8e+9 kg/km**3
A2: 177 km**2
A3: 300 km=Q4 -> A3 | F3=Q3 -> A2 | F2=Q1 -> Mul (Q3, Q4)=Q2 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 4.2e+14 kg
Question: How much could a human lift before the bones start to break?
CONTEXT:
F1: The total volume of bones in the human body is 435 cubic inches
F2: One cubic inch of a human's bone can hold upto 8626 kg/cubic in
PROGRAM:
Q1: What is the total volume of bones in the human body?
Q2: How much weight can a cubic inch of bone hold?
A1: 435 in**3
A2: 8626 kg*in**-3=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 3752310 kg
Question: How much energy (calories) do I expend heating up my phone when it's in my pocket?
CONTEXT:
F1: An average phone stays for about 4 hours in one's pocket during the day.
F2: The body burns about 100 cal for every hour the phone heats up in the pocket.
PROGRAM:
Q1: How long does a phone stay in one's pocket during the day?
Q2: What is average heat burnt while storing the phone in one's pocket?
A1: 4 h
A2: 100 cal*h**-1=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 400 cal
Question: If we would limit meat production to those animals born naturally for production of dairy and eggs, how much meat would we be left with?
CONTEXT:
F1: Around 30e+6 dairy animals are killed for meat each year.
F2: The average mass of a dairy animal is 900 kg
F3: around 9e+9 animals that give eggs are killed each year for meat.
F4: The average mass of an animals that lays eggs and gives meat is 1 kg
PROGRAM:
Q1: What is the total mass of meat consumed through dairy animals every year?
Q2: What is the total mass of meat consumed through animals that give eggs every year?
Q3: How many dairy animals are killed for meat each year?
Q4: What is the mass of an average dairy animal?
Q5: How many animals that give eggs are killed each year?
Q6: What is the mass of an average animal that gives eggs?
A1: 30e+6
A2: 900 kg
A3: 9e+9
A4: 1 kg=Q6 -> A4 | F4=Q5 -> A3 | F3=Q2 -> Mul (Q5, Q6)=Q4 -> A2 | F2=Q3 -> A1 | F1=Q1 -> Mul (Q3, Q4)
P: Add (Q1, Q2)
Answer: 36000000000 kg
Question: How much strength/energy is required to shatter a boulder with a single punch?
CONTEXT:
F1: A normal punch contains around 37.5 joules of energy.
F2: On an average and with continued consistency, it would take around 15 hits to break a boulder.
PROGRAM:
Q1: How much energy would a normal punch contain?
Q2: How many hits would it take to break an average boulder?
A1: 37.5 J
A2: 15=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 562.5 J
Question: How many units (500 cc) of blood are donated each day in the United States?
CONTEXT:
F1: 500 cc of blood is equal to one unit
F2: Around 20346588 cc of blood is donated each day in the US
PROGRAM:
Q1: How much blood is donated in the US each day?
Q2: How many cc of blood is equal to one unit?
A1: 500 cm**3
A2: 20346588 cm**3=Q2 -> A1 | F1=Q1 -> A2 | F2
P: Div (Q1, Q2)
Answer: 40700
Question: What is the number of deliveroo drivers in London?
CONTEXT:
F1: London is divided into 50 sectors by deliveroo.
F2: Each sector has about 5000 deliveroo drivers.
PROGRAM:
Q1: Into how many sectors is the area of London divided for distribution of orders to deliveroo drivers?
Q2: How many drivers are assigned to a single sector by deliveroo?
A1: 50
A2: 5000=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 250000
Question: How much water does your household use each week?
CONTEXT:
F1: The average water consumption at a median household is 500 litres per day.
F2: The duration of a week in days is 7.
PROGRAM:
Q1: How much water does a household use daily on an average?
Q2: What is the duration of a week in days?
A1: 500 L
A2: 7=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 3500 L
Question: What is the mass of all the gasoline a car uses in its lifetime?
CONTEXT:
F1: The average lifetime of a car is 12 years.
F2: The annual fuel consumption of a car is 656 gallons per year.
F3: The density of gasoline is 3.02 kg*gal**-1
PROGRAM:
Q4: What is the density of gasoline?
Q3: How many gallons of gasoline does a car use in its lifetime?
Q1: What is the average lifetime of a car?
Q2: What is the annual fuel consumption of a normal car?
A1: 12 years
A2: 656 gal*year**-1
A3: 3.02 kg*gal**-1=Q2 -> A2 | F2=Q1 -> A1 | F1=Q3 -> Mul (Q1, Q2)=Q4 -> A3 | F3
P: Mul (Q3, Q4)
Answer: 23773 kg
Question: If all humans suddenly switched to eating insects instead of all other forms of meat, how large would the farmed insect population per year be?
CONTEXT:
F1: The total amount of meat consumption in the world annually is 134e+9 lb
F2: The size of an average insect is 2.2e-6 lb
PROGRAM:
Q1: What is the total amount of meat consumption in the world annually?
Q2: What is the size of an average insect?
A1: 1.34e+11
A2: 2.2e-6=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div (Q1, Q2)
Answer: 6.00E+16
Question: If kinetic energy is transfered to thermal energy, how hard do i slap a person to leave a burn?
CONTEXT:
F1: The skin experiences burn on its surface when there is a change in 55 degree.
F2: The specific heat of skin is 3.4e+3 J/kg*degree
F3: The mass of the forearm slapping is 1kg
PROGRAM:
Q1: At what temperature does the skin experience burns on its surface?
Q2: What is the product of specific heat of skin and mass of the hand slapping the person?
Q3: What is the specific heat of the skin?
Q4: What is the mass of the forearm slapping?
A1: 55 degree
A2: 3.4e+3 J*kg**-1*degree**-1
A3: 1 kg=Q4 -> A3 | F3=Q3 -> A2 | F2=Q2 -> Mul (Q3, Q4)=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 172700 J
Question: How much water would need to be evaporated to turn Arizona tropical?
CONTEXT:
F1: 1 mL heated with 4.1 J can change the temperature by 1 degree celsius.
F2: An average temperature of Arizona is 35 degree celsius
F3: The average temperature of a tropical area is 26 degree celsius.
PROGRAM:
Q1: How much water evaporates, causing a change in one degree temperature?
Q2: What is the temperature to be lowered?
Q3: What is the average temperature of Arizona?
Q4: What is the temperature of a tropical area?
A1: 1e-3 L
A2: 35
A3: 26=Q4 -> A3 | F3=Q3 -> A2 | F2=Q2 -> Sub (Q3, Q4)=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 9e-3 L
Question: How much of the worlds power could be produced if all damable rivers had hydroelectric dams built on them?
CONTEXT:
F1: The average annual power consumption of the world is 23e+15 W.
F2: There are around 45000 damable rivers in the world.
F3: The average power generation by a damable river over the year 10e+5 W.
PROGRAM:
Q1: What is the total power generated by all the damable rivers in the world?
Q2: What is the world's average annual power consumption?
Q3: How many damable rivers are there in the world?
Q4: What is the average power generation by a damable river over the year?
A1: 23e+15 W
A2: 45000
A3: 10e+5 W=Q4 -> A3 | F3=Q3 -> A2 | F2=Q2 -> Mul (Q3, Q4)=Q1 -> A1 | F1
P: Div (Q2, Q1)
Answer: 1.95E-06
Question: What portion of all students in the city attends any given school?
CONTEXT:
F1: The total number of students attending school in an average US city is 210843
F2: The total number of school aged kids in an average US city is 242349
PROGRAM:
Q1: What is the total number of students attending school in an average US city?
Q2: What is the total number of school aged kids in an average US city?
A1: 210843
A2: 242349=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div (Q1, Q2)
Answer: 0.84
Question: If I threw a tennis ball from Pluto as fast as humanly possible how long would it take to reach earth
CONTEXT:
F1: The distance between Pluto and Earth is 5e+9 km
F2: The maximum speed that a ball can attain after being released by a human is 145 kmph
PROGRAM:
Q1: What is the distance between Pluto and earth?
Q2: What is the maximum speed that a ball can attain after being released by a human?
A1: 5e+9 km
A2: 145 km*hour**-1=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div (Q1, Q2)
Answer: 34482758 hours
Question: How many seeds are sown every year?
CONTEXT:
F1: There are 570e+6 farmers in the world.
F2: An average farmer sows about 150000 seeds each year.
PROGRAM:
Q1: How many farmers are there in the world?
Q2: How many seeds are sown by an average farmer every year?
A1: 5.7e+8
A2: 1.5e+5=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 8.55E+13
Question: How many molecules are in a grain of beach sand?
CONTEXT:
F1: The volume of a single grain of sand is 8.8e-9 cm cube
F2: The volume of a single molecule of grain of sand is 1.5e-23 cm cube
PROGRAM:
Q1: What is the volume of a single grain of sand?
Q2: What is the volume of a single molecule of grain of sand?
A1: 8.8e-9 cm**3
A2: 1.5e-23 cm**3=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div(Q1, Q2)
Answer: 5.87E+14
Question: What is the volume fraction of the Solar System (from the Sun to Earth) occupied by the Sun, and the planets?
CONTEXT:
F1: The total volume of solar system is 2.7e+40 cubic meters
F2: The volume of sun is 1.4e+27 cubic meters
F3: The volume of earth is 1e+21 cubic meters
F4: The volume of mercury is 6e+19 cubic meters
F5: The volume of venus is 9.2e+20 cubic meters
PROGRAM:
Q1: What is the total volume occupied by the sun and the planets?
Q2: What is the total volume occupied by the solar system?
Q3: What is the total volume of the sun?
Q4: What is the total volume occupied by the three planets?
Q5: What is the volume of earth?
Q6: What is the sum of volumes of mercury and venus?
Q7: What is the volume of mercury?
Q8: What is the volume of Venus?
A1: 2.7e+40 m**3
A2: 1.4e+27 m**3
A3: 1e+21 m**3
A4: 6e+19 m**3
A5: 9.2e+20 m**3=Q8 -> A5 | F5=Q7 -> A4 | F4=Q6 -> Add (Q7, Q8)=Q5 -> A3 | F3=Q4 -> Add (Q5, Q6)=Q3 -> A2 | F2=Q1 -> Add (Q3, Q4)=Q2 -> A1 | F1
P: Div(Q1, Q2)
Answer: 5.18E-14
Question: What is the cumulative total bandwidth of the full human sensorium in Mbps?
CONTEXT:
F1: Around 60 bits are processed by the human brain in a second.
F2: The time period for the information sent to be processed is 1 s
PROGRAM:
Q1: How many bits are sent to the brain in a second?
Q2: What is the time period for the information sent to be processed?
A1: 60 bits
A2: 1 s=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div (Q1, Q2)
Answer: 60 bits*s**-1
Question: How long is the DNA of all of humanity?
CONTEXT:
F1: The total human population is 7.2e+9.
F2: There are around 10e+12 cells in one human body.
F3: The average length of DNA in a single cell is 6 ft.
PROGRAM:
Q1: What is the total human population?
Q2: What is the total DNA length in one human?
Q3: How many cells are there in one human body?
Q4: What is the average length of DNA inside a single cell?
A1: 7.2e+9
A2: 10e+12
A3: 6 ft=Q4 -> A3 | F3=Q3 -> A2 | F2=Q2 -> Mul (Q3, Q4)=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 4.32e+23 ft