jeggers/fermi huggingface dataset:
Question: Consider a steel ball at room temperature. If you converted all its internal energy to kinetic energy, how fast would it be moving?
CONTEXT:
F1: The relation between square of the velocity and velocity is 1/2
F2: The internal energy of steel ball at room temperature is 32 kg*m**2*s**-2
F3: The mass of an average steel ball is 2 kg
PROGRAM:
Q1: What is the square of the velocity of the steel ball?
Q2: What is the relation square of the velocity and velocity?
Q3: What is the internal energy of a steel ball at room temperature?
Q4: What is the mass of an average steel ball?
A1: 1/2
A2: 32 kg*m**2*s**-2
A3: 2 kg=Q4 -> A3 | F3=Q3 -> A2 | F2=Q1 -> Div (Q3, Q4)=Q2 -> A1 | F1
P: Pow (Q1, Q2)
Answer: 4 m*s**-1
Question: How long is one gram of DNA?
CONTEXT:
F1: The length of the cube is the cube root of the volume of the cube. (Assuming volume of the double helical structure to be same as that of a cube of similar dimensions)
F2: The mass of DNA given is 1g
F3: The density of DNA is 1.7g/cc
PROGRAM:
Q1: What is the relation between length and volume of a cube?
Q2: What is the volume of a 1 g DNA structure?
Q3: What is the mass of DNA given?
Q4: What is the density of DNA?
A1: 1g
A2: 1.7 g*cm**-3
A3: 1/3=Q4 -> A2 | F2=Q3 -> A1 | F1=Q2 -> Div (Q3, Q4)=Q1 -> A3 | F3
P: Pow (Q2, Q1)
Answer: 0.83 cm
Question: How Fast Would You Have To Be Going To Travel A Light Year a Day?
CONTEXT:
F1: The duration given is 1 day i.e 86400 seconds.
F2: The speed at which light travels is 3e+8 m/s
F3: There are 365 days in a year.
F4: The number of seconds in a day is 86400.
PROGRAM:
Q1: What is the distance of the light year?
Q2: What is duration given?
Q3: What is the speed at which light travels?
Q4: How many seconds are there in a year?
Q5: How many days are there in a year?
Q6: How many seconds are there in a day?
A1: 86400 s
A2: 3e+8 m*s**-1
A3: 365
A4: 86400 s=Q6 -> A4| F4=Q5 -> A3| F3=Q4 -> Mul (Q5, Q6)=Q3 -> A2 | F2=Q1 -> Mul (Q3, Q4)=Q2 -> A1 | F1
P: Div (Q1, Q2)
Answer: 1.095e+11 m*s**-1
Question: What is the approximate total length, km, of blood vessels in an adult male?
CONTEXT:
F1: The number of cells in human body is 724e+12
F2: The diameter of a single cell is 1.3e-10mi
PROGRAM:
Q1: How many cells are there in a human body?
Q2: What is the diameter of a single cell in a human body?
A1: 724e+12
A2: 1.38e-10 mi=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 99912 mi
Question: Estimate the number of blades of grass a typical suburban house's lawn has in the summer.
CONTEXT:
F1: The average area of a suburban lawn in US is 10000 sq foot.
F2: The average square foot has 3000 blades of grass.
PROGRAM:
Q1: What is the average area of a suburban lawn?
Q2: How many blades of grass does an average square foot consist of?
A1: 10000 ft**2.
A2: 3000 ft ** -2=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 3.00E+07
Question: How long does it take a light bulb to turn off?
CONTEXT:
F1: Assuming that the time taken for our eyes to blink is half of the time taken by the light bulb to turn off.
F2: The time taken by our eyes to blink is 0.1 sec
PROGRAM:
Q1: What is the ratio between the time it takes to blink and the time it takes for a light bulb to turn off?
Q2: How long does it take our eyes to blink?
A1: 2
A2: 0.1s=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 0.2 sec
Question: How tall would a bacteria be on the surface of the skin, if it were like a tree on the surface of the earth?
CONTEXT:
F1: The volume of bacteria is 0.52e-6 metre cube
F2: The surface area of the bacteria is 3.1e-6 metre square
F3: The height of a tree on earth is 50 m
PROGRAM:
Q1: What is the volume of the bacteria?
Q2: What is the surface area of the bacteria?
Q3: What is the height of bacteria on the skin?
Q4: What is the height of a tree on earth?
A1: 0.56e-6 m**3
A2: 3.1e-6 m**2
A3: 50 m=Q2 -> A2 | F2=Q1 -> A1 | F1=Q3 -> Div (Q1, Q2)=Q4 -> A3 | F3
P: Div (Q3, Q4)
Answer: 3.60E-03
Question: If we were to tally up every drop of gas wasted each time we hang up the pump, how many gallons per year would that equate to?
CONTEXT:
F1: The amount of gas wasted during each gas station visit it around 0.001 gal [estimate]
F2: Roughly an average american visits the gas station 170 times in a year (roughly once in two days)
PROGRAM:
Q1: How many gallons of gas do we waste when we hang up a pump every time?
Q2: How many times does an average american visit the gas station every year?
A1: 0.001 gal
A2: 170=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 0.17 gal
Question: How long would a (2500 mAh) AA battery be able to sustain a beam of energy that could, within seconds, burn through wood?
CONTEXT:
F1: The length of a AA battery is 0.05 m
F2: The energy of the light beam is 1e+10 J
F3: The energy that a single AA battery sustain is 1e+4 J
PROGRAM:
Q1: What is the length of a AA battery?
Q2: How many AA batteries do we need to sustain a beam of energy?
Q3: What is the energy of a normal light beam?
Q4: What is the energy that a single AA battery can survive through?
A1: 0.05 m
A2: 1e+10 J
A3: 1e+4 J=Q4 -> A3 | F3=Q3 -> A2 | F2=Q2 -> Div (Q3, Q4)=Q1 -> A1 | F1
P: Mul (Q2, Q1)
Answer: 50000 m
Question: How much does it cost to leave a light on for an entire year?
CONTEXT:
F1: The cost to power a light for a day is 0.005 USD
F2: There are 365 days in a year.
PROGRAM:
Q1: How much does it cost to power a light for a day?
Q2: How many days are there in a year?
A1: 0.005
A2: 365=Q1 -> A1 | F1=Q2 -> A2 | F2
P: Mul (Q1, Q2)
Answer: $1.83
Question: How large of an comet would have to hit the earth in order to correct the tilt?
CONTEXT:
F1: The volume of an average comet is 5e+17 cm**3
F2: The energy required to tilt the earth's axis by a degree is 1.3e+18 J
F3: The number of degrees to be tilted is 23
F4: The average energy of a comet is 4.4e+15 J
PROGRAM:
Q1: What is the total energy required to correct the earth's tilt?
Q2: What is the volume of the average comet carrying an energy of 4.4e+9 J?
Q3: What is the energy required to tilt the earth's axis by a degree?
Q4: How many degrees are to be set right for the earth's axis to be brought back to its actual form?
Q5: What is the average energy of a comet?
Q6: What is the ratio of energy of the total energy to the energy of a single comet?
A1: 5e+17 cm**3
A2: 1.3e+18 J
A3: 23
A4: 4.4e+15 J=Q4 -> A3 | F3=Q3 -> A2 | F2=Q1 -> Mul (Q3, Q4)=Q5 -> A4 | F4=Q6 -> Div (Q1, Q5)=Q2 -> A1 | F1
P: Mul (Q6, Q2)
Answer: 3.4e+21 cm**3
Question: How many tons of food are consumed in Chicago during the course of a day?
CONTEXT:
F1: The population of Chicago is 2710000.
F2: The average quantity of food a US citizen eats each day is 4 pounds.
F3: A ton is 100 pounds.
PROGRAM:
Q1: What is the population of Chicago?
Q2: What is the average quantity of food a US citizen eats each day?
Q3: How much food does the total population in Chicago eat each day?
Q4: How many pounds are in a ton?
A1: 2710000
A2: 4 pounds
A3: 100 pounds=Q2 -> A2 | F2=Q1 -> A1 | F1=Q3 -> Mul (Q1, Q2)=Q4 -> A3 | F3
P: Div (Q3, Q4)
Answer: 108400
Question: How many illiterate people are there in India?
CONTEXT:
F1: The population of India is 1360000000
F2: The illiteracy rate in India is 26%
PROGRAM:
Q1: What is the population of India?
Q2: What is the illiteracy rate in India?
A1: 1360000000
A2: 0.26=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 353600000
Question: How many people do we meet in our life?
CONTEXT:
F1: The average life expectancy is 72 years.
F2: On an average, we meet 140 new people every year.
PROGRAM:
Q1: What is the average life expectancy?
Q2: How many new people do we meet annually?
A1: 72
A2: 140=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 10080
Question: How many links do we need to make a paper chain that stretches across the bulletin board?
CONTEXT:
F1: The length of a normal bulletin board is 210 cm
F2: The length of a single sheet of paper is 30 cm
PROGRAM:
Q1: What is the length of a normal bulletin board?
Q2: What is the length of a single piece of paper?
A1: 210 cm
A2: 30 cm=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div (Q1, Q2)
Answer: 7
Question: How many years would it take if it were possible to walk 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.
F3: A typical year consists of 8760 hours.
PROGRAM:
Q4: How many hours would it take to walk to the moon?
Q1: What is the distance between Earth and Moon?
Q2: What is the average speed at which a person drives a car?
Q3: How many hours are there in a year?
A1: 384400 km
A2: 5 km*hour**-1
A3: 8760 hour/year=Q2 -> A2 | F2=Q1 -> A1 | F1=Q4 -> Div(Q1, Q2)=Q3 -> A3 | F3
P: Div (Q4, Q3)
Answer: 8.77 years
Question: How many balloons can lift an Is-3?
CONTEXT:
F1: The weight of a ls-3 is 183 kg
F2: The maximum weight a balloon can hold is 0.015 kg.
PROGRAM:
Q1: What is the weight of an ls-3?
Q2: What is the maximum weight a balloon can hold?
A1: 183 kg
A2: 0.015 kg=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div (Q1, Q2)
Answer: 12200
Question: What is the average depth (cm) of the earth's oceans?
CONTEXT:
F1: The total volume of earth's oceans is 300000000 cubic miles
F2: The average surface area in earth's oceans is 130434782 squaremiles
PROGRAM:
Q1: What is the total volume of earth's oceans?
Q2: What is the surface area of earth's oceans?
A1: 300000000 miles**3
A2: 130434782 miles**2=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div(Q1, Q2)
Answer: 2.3 miles
Question: How much electricity would one need to stop a car from moving forward?
CONTEXT:
F1: It takes an average of 50 hp while applying brakes to stop the car from moving forward.
PROGRAM:
A1: 50 hp
P: A1 | F1
Answer: 50 hp
Question: How many inch-worms are equivalent in length to the circumference of the Earth at the equator?
CONTEXT:
F1: The circumference of earth at the equator is 1.6e+9
F2: The length of an inch worm is 1 inch
PROGRAM:
Q1: What is the circumference of earth at the equator?
Q2: What is length of inch worms?
A1: 1.6e+9 in
A2: 1 in=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div (Q1, Q2)
Answer: 1.60E+09
Question: How many drops of water are needed to fill a swimming pool (25x12x2 meters)?
CONTEXT:
F1: The volume of the swimming pool is 600 cubic metre
F2: The volume of a single water drop is 18e-10 cubic metre
PROGRAM:
Q1: What is the volume of the given swimming pool?
Q2: What is the volume of a single drop of water?
A1: 600 m**3
A2: 18e-10 m**3=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div(Q1, Q2)
Answer: 3.30E+11
Question: What is the usage of former rainforest territory in percent?
CONTEXT:
F1: The numerical coefficient to convert fraction to percentage is 100.
F2: The total area of rainforests cut by humans till now is 9.8e+6 miles**2
F3: The total area of rainforests is 16e+6 miles**2
PROGRAM:
Q1: What is the ratio of total area of rainforests cut to the total area of rainforests?
Q2: What is the numerical coefficient to convert fraction to percentage?
Q3: What is the total area of rainforests cut by humans?
Q4: What is the original area of rainforests?
A1: 100
A2: 9.8e+6 mi**2
A3: 16e+6 mi**2=Q4 -> A3 | F3=Q3 -> A2 | F2=Q1 -> Div (Q3, Q4)=Q2 -> A1 | F1
P: Mul (Q2, Q1)
Answer: 61.25
Question: How much electrical power could you conceivably get out of a horse generator?
CONTEXT:
F1: A horse possesses an average of 15 hp with it.
F2: 735 watts equal one horsepower.
PROGRAM:
Q1: How much horsepower does an average horse possess?
Q2: How many watts is one horsepower?
A1: 15
A2: 735 watt=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 11025 W
Question: At what time is a higher percentage of a country's population asleep than awake?
CONTEXT:
F1: The globally observed time when most of a country's population is asleep is 0300 hours
PROGRAM:
A1: 3 hours
P: A1 | F1 
Answer: 3 hours
Question: How many soccer balls could you fit into a classroom?
CONTEXT:
F1: The average volume of a classroom is 7680 cubic feet.
F2: The average volume occupied by a single football in freespace is 0.20 cubic feet.
PROGRAM:
Q1: What is the average volume of a classroom?
Q2: What is the average volume occupied by a single football in free space?
A1: 7680 ft**3
A2: 0.20 ft**3=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div(Q1, Q2)
Answer: 38400
Question: What is the estimated journey time for Santa Claus?
CONTEXT:
F1: The average time interval between visiting two households for Santa Claus is roughly 2 hours.
F2: The total number of households in the world is 1.8e+8
PROGRAM:
Q1: What is the time interval between visiting two households for Santa Claus?
Q2: What is the total number of households in the world?
A1: 2 hours
A2: 1.8e+8=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q2, Q1)
Answer: 3.6e+8 hours
Question: how much do all the worlds beards weigh?
CONTEXT:
F1: Around 1.8e+9 people in the world have a beard.
F2: The average mass of a beard is 0.003 grams
PROGRAM:
Q1: How many people in the world have a beard?
Q2: What is the average mass of a beard?
A1: 1.8e+9
A2: 0.003 g=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 5.4e+6 g
Question: If the sun were a head of a body, how long would it's arms be?
CONTEXT:
F1: The size of the sun is 696340 km
F2: The ratio of the size of the sun to the size of the arms is 3.5:1
PROGRAM:
Q1: What is the size of the sun?
Q2: What is the ratio of the size of the sun to the size of arms?
A1: 696340 km
A2: 3.5=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 2437190 km
Question: What temperature would air have to be to give you a third-degree burn over the periods of 1 second?
CONTEXT:
F1: At 162 degree F of heat, our body receives third degree burns.
F2: It takes one second for the heat to burn the skin.
PROGRAM:
Q1: At what temperature does our body receive third degree burns?
Q2: How long does it take for a third degree burn to take place?
A1: 162 degree F
A2: 1=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q2, Q1)
Answer: 162 degree F
Question: The Paedophryne amauensis frog is the smallest vertebrates known to science, how many cells go into making up a typical (adult) specimen's body?
CONTEXT:
F1: The average size of a normal cell is 1e-6 m cube
F2: The size of the adult specimen of the frog is 1e-4 metre cube.
PROGRAM:
Q1: What is the size of an average cell?
Q2: What is the size of the adult specimen of the frog?
A1: 1e-6 m**3
A2: 1e-4 m**3=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div (Q2, Q1)
Answer: 100
Question: On Sunday of Thanksgiving weekend, the highway is at maximum capacity with cars safely going at the speed limit. How many cars are on the highway?
CONTEXT:
F1: The surface area of an average car 5.6 metre square
F2: The width of an average highway is 3.7 m.
F3: The length of the highway is 250000 m long.
PROGRAM:
Q1: What is the average surface area of a car?
Q2: What is the surface area of the road?
Q3: What is the width of the highway?
Q4: What is the length?
A1: 5.6 m**2
A2: 3.7 m
A3: 250000 m=Q4 -> A3 | F3=Q3 -> A2 | F2=Q2 -> Mul (Q3, Q4)=Q1 -> A1 | F1
P: Div (Q2, Q1)
Answer: 165178
Question: How many sponges does it take to drain the ocean?
CONTEXT:
F1: The total volume of water present in the oceans is 13338181 cubic km
F2: The maximum volume of water that a sponge can hold is 2e-4 cubic km
PROGRAM:
Q1: What is the total volume of water present in the oceans?
Q2: What is the maximum volume of water that a sponge can hold?
A1: 13338181 cubic km
A2: 2e-4 cubic km=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div (Q1, Q2)
Answer: 66690905000
Question: How hard you need to throw a snowball to knock down/faint a person?
CONTEXT:
F1: The force required to knock someone off is 10 N
PROGRAM:
A1: 10 N
P: A1 | F1
Answer: 10 N
Question: If you drop a pumpkin from the top of a ten story building what is the farthest a single pumpkin seed can land from the point of impact?
CONTEXT:
F1: The speed of the seed while leaving the point of impact is 30 m/s
F2: The seed travels for a period of 3 sec.
F3: Assuming that the direction of the projectile is 0 degrees wrt ground.
PROGRAM:
Q1: What is the speed of the seed while leaving the point of impact?
Q2: For how long does the seed travel before it reaches its farthest point?
A1: 30 meters*seconds**-1
A2: 3 seconds=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 90 meters
Question: How many cups of water are there in an Olympic pool?
CONTEXT:
F1: The average volume of an Olympic Pool is 88230 cubic feet.
F2: The average volume of a water-cup is 0.009 cubic feet.
PROGRAM:
Q1: What is the average volume of an Olympic Pool?
Q2: What is the average volume of a water cup?
A1: 88230 ft**3
A2: 0.009 ft**3=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div(Q1, Q2)
Answer: 9803000
Question: How much new wood is grown around the world by trees everyday?
CONTEXT:
F1: 4e+14 trees are there in the world.
F2: 2 pounds of wood grows every day on a tree.
PROGRAM:
Q1: How many trees are there in the world?
Q2: How much new wood is grown by a single tree daily?
A1: 4e+14
A2: 2 pounds=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 8e+14 pounds
Question: How long does it take for blood to coagulate in a reptile carcass?
CONTEXT:
F1: The time taken for blood to coagulate in humans is 30 seconds.
F2: The ratio of time taken for blood to coagulate in reptiles when compared to humans is 2
PROGRAM:
Q1: What is the time taken for blood coagulation in humans?
Q2: What is the ratio of blood coagulation in reptiles to that in humans?
A1: 30 s
A2: 2=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul(Q1, Q2)
Answer: 60 s
Question: If all of the books in a school were stacked on top of each other in one pile, how tall would the pile be?
CONTEXT:
F1: The average thickness of a school book is 1.5 cm
F2: The total number of books available in the school at a given point of time is around 2000.
PROGRAM:
Q1: What is the average thickness of a school book?
Q2: What is the number of books available in a school at a given time?
A1: 1.5 cm
A2: 2000=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 3000 cm
Question: How many toothpicks could be made from a telephone pole?
CONTEXT:
F1: The volume of a telephone pole is 25.6 cubic feet
F2: The volume of a toothpick is 7e-6 cubic feet
PROGRAM:
Q1: What is the volume of a telephone pole?
Q2: What is the volume of a single toothpick?
A1: 25.6 ft**3
A2: 7e-6 ft**3=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div(Q1, Q2)
Answer: 3.66E+06
Question: How much would a newly-discovered unreleased Beatles album sell for?
CONTEXT:
F1: The market rate of a Beatles album is 5000 USD
F2: The average ratio of auction price to base price is 160
PROGRAM:
Q1: What is the market rate for a Beatles album?
Q2: What is the average auction ratio for a musical piece?
A1: 5000
A2: 160=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: $800000
Question: How much space would be required to fit 1 individual of each species of plants and animals?
CONTEXT:
F1: Assuming the average volume of a single animal to be 7200 cc (90x40x2)
F2: The number of animal species in the world are 7.7e+6
F3: The average volume of a plant is 1570 cc (20cm height and 5cm radius)
F4: The number of plant species in the world are 391000
PROGRAM:
Q1: What is the volume occupied by a single species of all the animals in the world?
Q2: What is the volume occupied by single species of all the plants in the world?
Q3: What is the volume of an average animal?
Q4: How many different species of animals present?
Q5: What is the volume of a single plant?
Q6: How many different species of plant present?
A1: 7200 cm**3
A2: 7.7e+6
A3: 1570 cm**3
A4: 391000=Q6 -> A4 | F4=Q5 -> A3 | F3=Q4 -> A2 | F2=Q3 -> A1 | F1=Q2 -> Mul ( Q5, Q6)=Q1 -> Mul (Q3, Q4)
P: Add (Q1, Q2)
Answer: 56053870000 cm**3
Question: How much space would a million people need at a political rally?
CONTEXT:
F1: An average person needs 4 sq.ft of space.
F2: A million rally has a total of 1e+6 people.
PROGRAM:
Q1: How much space does a single person need?
Q2:How many people are there in the rally?
A1: 4 ft**2
A2: 1e+6=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 4e+6 ft**2
Question: I was writing a harpy character (demi-human) and ran into a problem in regards to his wingspan. Can you all help?
CONTEXT:
F1: The height of an average person is 174 cm
F2: The ideal wingspan of a flying body is around 70% of its length.
PROGRAM:
Q1: What is the height of an average person?
Q2: What is the ideal length of the wingspan of a body that flies?
A1: 174 cm
A2: 0.7=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 121.8 cm
Question: How many blades of grass are in a typical lawn in your neighborhood?
CONTEXT:
F1: The average area of a suburban lawn in US is 10000 sq foot.
F2: The average square foot has 3000 blades of grass.
PROGRAM:
Q1: What is the average area of a suburban lawn?
Q2: How many blades of grass does an average square foot consist of?
A1: 10000 ft**2.
A2: 3000 ft**-2=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 30000000
Question: How long would it take for a space ship to reach 42 light years away?
CONTEXT:
F1: The distance to be covered is 42 light years.
F2: The velocity of an average spaceship is 2.9e-9 light years per hour
PROGRAM:
Q1: What is the distance to be covered?
Q2: What is velocity of an average spaceship?
A1: 42 ly
A2: 2.9e-9 ly*hour**-1=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div (Q1, Q2)
Answer: 1.4e+10 hours
Question: Assuming we found a suitable place and could get there, how many people would be needed to colonize a new planet without having to worry about incest in future generations?
CONTEXT:
F1: The minimum population required to colonise entire human population is 500. [Discovered with straightforward fact without any math supporting the answer]
PROGRAM:
A1: 500
P: A1 | F1
Answer: 500
Question: In the United States, how many people have type O blood?
CONTEXT:
F1: The population of the United States is 328200000
F2: Blood group O is the commonest blood group with 37.12% of occurence in an average human.
PROGRAM:
Q1: What is the population of the United States?
Q2: What is the percentage of occurrence of type O blood?
A1: 328200000
A2: 0.37=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 121434000
Question: How much additional weight would you need to make a dead body submerge in water?
CONTEXT:
F1: Even Though dead bodies float, dead people weighing upwards of 125 kg sink in water.
F2: The average weight of normal person is 63 kg
PROGRAM:
Q1: What is the average weight of a dead body that sinks in water?
Q2: What is the average weight of a normal person?
A1: 125 kg
A2: 63 kg=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Sub (Q1, Q2)
Answer: 63 kg
Question: What is the surface area, cm2, of a TiO2 pigment particle?
CONTEXT:
F1: The length of a TiO2 pigment is 0.0001 cm
F2: The surface area of the particle is the square of the length.
PROGRAM:
Q1: What is the length of a single TiO2 pigment?
Q2: What is the relation between length and surface area of a particle
A1: 1e-4 cm
A2: 2=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Pow(Q1, Q2)
Answer: 1e-8 cm**2
Question: According to some recent highly accurate measurements made from satellites, the continent of North America is drifting at a rate of about 1 cm per year. Assuming a continent is about 50 km thick, estimate the kinetic energy the continental US has as a result of this motion.
CONTEXT:
F1: The rate at which the continent is drifting apart is 1e-5 km/year
F2: The density of the continent is 5.5e+12 kg/km**3
F3: The surface area of the continent is 24.7e+6 km**2
F4: The thickness of the continent is 50 km
F6: The square of the velocity is velocity times velocity.
F7: The numerical coefficient in half of the mass is 2.
PROGRAM:
Q1: What is the mass of the continent?
Q2: What is the square of the rate at which the continent is drifting?
Q3: What is the density of the continent?
Q4: What is the volume of the continent?
Q5: What is the thickness of the continent?
Q6: What is the surface area of the continent?
Q7: What is half of the mass of the continent?
Q8: What is the velocity at which the continent is drifting?
Q9: What is the numerical coefficient in half of the mass?
Q10: What is the numerical value for the exponent of the square of velocity?
A1: 1e-5 km*year**-1
A2: 5.5e+12 kg*km**-3
A3: 24.7e+6 km**2
A4: 50 km
A5: 2
A6: 2=Q6 -> A3 | F3=Q5 -> A4 | F4=Q4 -> Mul (Q6, Q5)=Q3 -> A2 | F2=Q1 -> Mul (Q3, Q4)=Q9 -> A6 | F7=Q7 -> Div (Q1, Q9)=Q10 -> A5 | F6=Q8 -> A1 | F1=Q2 -> Pow (Q8, Q10 )
P: Mul (Q7, Q2)
Answer: 3.3e+11 kg*km**2*year**-2