jeggers/fermi huggingface dataset:
Question: If every living thing in the ocean disappeared, how much would the water level lower?
CONTEXT:
F1: The height of the water in ocean is 3.7 km
F2: The surface area of oceans is 361e+6 km**2
F3: The original volume of the oceans is 1335700000 km**3
F4: The number of living things in an ocean is 1e+9
F5: The average volume of a living thing in an ocean is 5e-3 km**3
PROGRAM:
Q1: What is the original water level of the ocean?
Q2: What is the new water level of the ocean?
Q3: What is the new volume of the ocean?
Q4: What is the surface area of the ocean?
Q5: What is the original volume of the ocean?
Q6: What is the volume of all living things in the ocean?
Q7: How many living things are there in the ocean?
Q8: What is the average volume of a single living thing on the ocean?
A1: 3.7 km
A2: 361e+6 km**2
A3: 1335700000 km**3
A4: 1e+9
A5: 5e-3 km**3=Q8 -> A5 | F5=Q7 -> A4 | F4=Q6 -> Mul (Q7, Q8)=Q5 -> A3 | F3=Q3 -> Sub (Q5, Q6)=Q4 -> A2 | F2=Q2 -> Div (Q3, Q4)=Q1 -> A1 | F1
P: Sub (Q1, Q2)
Answer: 0.013 km
Question: Since the invention of the automobile, how many people have died in the United States as a result of car accidents?
CONTEXT:
F1: It has been 110 years since the invention of the first automobile.
F2: 1.35e+6 people die every year due to car accidents
PROGRAM:
Q1: How many years has it been since the invention of the first automobile?
Q2: How many people die every year due to car accidents?
A1: 110
A2: 1.35e+6=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 1.48E+08
Question: How many jelly beans fill a bucket?
CONTEXT:
F1: The average volume of a bucket is 0.67 cubic feet.
F2: The average volume of a jelly-bean is 0.00012 cubic feet.
PROGRAM:
Q1: What is the average volume of a bucket?
Q2: What is the average volume of a jelly bean?
A1: 0.67 ft**3
A2: 0.00012 ft**3=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div(Q1, Q2)
Answer: 5580
Question: How many steps would I need to climb to burn as many calories as there are in a bag of potato chips?
CONTEXT:
F1: The number of calories burnt while climbing a step is 0.17 calories
F2: The amount of calories present in a chips bag is 1242.
PROGRAM:
Q1: How many calories are burnt in climbing one step?
Q2: What is the amount of calories that are to be burnt?
A1: 0.17
A2: 1242=Q1 -> A1 | F1=Q2 -> A2 | F2
P: Div (Q2, Q1)
Answer: 7306
Question: How much energy is needed to raise sea levels by 5 feet over 50 years?
CONTEXT:
F1: The energy required to raise sea levels by 0.1 ft each year is 10e+6 W
F2: The number of years the height is gradually raised is 50.
PROGRAM:
Q1: How much energy is required to raise the level of sea by 0.1 ft each year?
Q2: How many years do we have?
A1: 10e+6 W
A2: 50=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 5e+8 W
Question: If a person standing on the surface of the Earth was suddenly no longer affected by the Earth's gravitational pull, could they be thrown to Mars?
CONTEXT:
F1: The gravitational pull on mars when the gravity on earth is absent is 3.7 m/s**2
F2: The mass of an average human is 62 kg.
F3: Given that mg is the gravitational pull that is pulling the person towards mars, since the force is very fellow, it looks that the person can't be thrown to mars.
PROGRAM:
Q1: What is the gravitational pull from mars?
Q2: What is the mass of an average human body?
A1: 3.7 m*s**-2
A2: 62 kg=Q2 -> A2 | F2 =Q1 -> A1 | F1 & F3
P: Mul (Q1, Q2)
Answer: 229.4 kg*m*s**-2
Question: By cooking, how many times does rice expand in volume?
CONTEXT:
F1: The portion of rice cooker covered before cooking rice is 0.3
F2: The portion of rice cooker covered after cooking rice is 1
PROGRAM:
Q1: What is the portion of rice cooker covered before cooking rice?
Q2: What is the portion of rice cooker covered after cooking rice?
A1: 0.3
A2: 1=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div (Q2, Q1)
Answer: 3.33
Question: What is the mass, grams, of a gallon of the paint?
CONTEXT:
F1: The density of an average paint is 4530 grams per gallon
F2: The total volume of the paint given is 1 gallon
PROGRAM:
Q1: What is the density of an average paint?
Q2: What is the total volume of paint given?
A1: 4530 g*gal**-1
A2: 1 gal=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul(Q1, Q2)
Answer: 4530 g
Question: What is the value of all sunken treasure (gold and silver) in the ocean?
CONTEXT:
F1: Approximately 12e+9 kgs of undiscovered treasure is currently sitting in the ocean?
F2: The average value of a kg of lost treasure is 60000 USD/kg
PROGRAM:
Q1: How much undiscovered treasure is estimated to be in the ocean?
Q2: What is the approximate value of a kg of lost treasure?
A1: 12e+9 kg
A2: $60000 kg**-1=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: $7.2e+14
Question: What was the minimal sugar concentration in urine for doctors to be able to taste it ?
CONTEXT:
F1: The minimum sugar concentration to taste urine is 20e-3 M
PROGRAM:
A1: 20e-3 M
P: A1 | F1
Answer: 20e-3 M
Question: Assuming that humans naturally had bird like wings, how large should the wingspan need to be in order for the average human to be capable of flight?
CONTEXT:
F1: Ideal wingpsan length is 83% of the length of the flying body.
F2: The average body height of a person is 170 cm.
PROGRAM:
Q1: What is the relation between the length of wingspan and the length of the flying body?
Q2: What is the average height of a human being?
A1: 0.83
A2: 170 cm=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 141 cm
Question: In a minute, all of a person's blood passes through the heart. During a day, how many times does a RBC pass through the heart?
CONTEXT:
F1: Around 7000 L of blood passes through the heart every day.
F2: 4.5e+12 cells are present in a single liter of blood every day.
PROGRAM:
Q1:How much blood passes through the heart in a day?
Q2: How many RBCs are present in a single liter of blood?
A1: 7000 L
A2: 4.5e+12 L**-1=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 3.15E+16
Question: If you took all the hair on the average person's head and put it into a cylinder what would the diameter be?
CONTEXT:
F1: The total volume of an average person's hair is 500 cm**3
F2: The diameter of the cylinder is cube root of 1.3 times its volume given it's height is 1 cm (assumed since it is not mentioned).
F3: The numerical factor to convert a square to its linear form is 1/2
PROGRAM:
Q1: What is the total volume of an average person's hair?
Q2: What is the relation between diameter of the cylinder and it's volume?
Q3: What is the value of the diameter square of the cylinder?
Q4: What is the numerical factor to convert a square to its linear form?
A1: 500 cm**3
A2: 1.3
A3: 1/3=Q2 -> A2 | F2=Q1 -> A1 | F1=Q3 -> Mul (Q1, Q2)=Q4 -> A3 | F3
P: Pow (Q3, Q4)
Answer: 8.47 cm
Question: How much rock (volume) would have to "fall into the ocean" to raise its level by even one meter?
CONTEXT:
F1: The old volume of the ocean is 1.35e+9 km**3
F2: The surface area of the oceans is 510e+6 km**2
F3: The old depth of the ocean is 3.7 km
F4: The increase in depth of the ocean is 0.001 km
PROGRAM:
Q1: What is the new volume of the ocean?
Q2: What is the old volume of the ocean?
Q3: What is the new depth of the ocean?
Q4: What is the surface area of the ocean?
Q5: What is the old depth of the ocean?
Q6: What is the increase in depth of the ocean?
A1: 1887000000 km**3
A2: 510e+6 km**2
A3: 3.7 km
A4: 0.001 km=Q6 -> A4 | F4=Q5 -> A3 | F3=Q3 -> Add (Q5, Q6)=Q4 -> A2 | F2=Q1 -> Mul (Q3, Q4)=Q2 -> A1 | F1
P: Sub (Q1, Q2)
Answer: 510000 km**3
Question: What is the total length of all the hair in an average female human?
CONTEXT:
F1: The total number of hairs an average human has is 100000.
F2: The average length of hair in a female human is 30 cm
PROGRAM:
Q1: How many hairs does an average human have?
Q2: What is the average length of hair in a female human?
A1: 100000
A2: 30 cm=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 3000000 cm
Question: For the entire United States populace, how many liters of blood are pumped each day?
CONTEXT:
F1: Around 43000 pints of blood is donated each day.
F2: 2.1 pints of blood make up a litre of blood
PROGRAM:
Q1: How many pints of blood is donated each day in the United States?
Q2: How many pints is one litre?
A1: 43000
A2: 2.1 L**-1=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div (Q1, Q2)
Answer: 20476 L
Question: What would be the average income of someone who lives on Earth?
CONTEXT:
F1: The total income generated last year in the world is 80e+12
F2: The total population on Earth is 7.2e+9
PROGRAM:
Q1: What is the total income generated last year?
Q2: What is the total population on Earth?
A1: 80e+12
A2: 7.2e+9=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div (Q1, Q2)
Answer: $11428
Question: The SO bacterium needs a living space of about 30x10-4 cm in all directions to thrive. How many of these thriving bacteria might be found in a gram of pond water?
CONTEXT:
F1: The volume of a gram of pond water is 1 cc
F2: The radius of bacterium is 3e-3 cm
F3: The volume of bacteria is cube of its radius.
PROGRAM:
Q1: What is the volume of a gram of pond water?
Q2: What is the volume of SO bacterium?
Q3: What is the radius of the bacterium?
Q4: What is the relationship between radius and volume of bacterium?
A1: 1 cm**3
A2: 3e-3 cm
A3: 3=Q4 -> A3 | F3=Q3 -> A2 | F2=Q2 -> Pow (Q3, Q4)=Q1 -> A1 | F1
P: Div (Q1, Q2)
Answer: 3.70E+07
Question: How many cigarettes have been smoked throughout history?
CONTEXT:
F1: 6.9e+12 cigarettes are sold each year in the world.
F2: It has been 157 years since the cigarettes were first commercialised.
PROGRAM:
Q1: How many cigarettes are sold each year?
Q2: How many years has it been since the cigarettes were first commercialised?
A1: 6.9e+12
A2: 157=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 1.00E+15
Question: How much should I pay back on $100 freely given 20 years ago?
CONTEXT:
F1: 1 dollar in 2001 costs 1.51 dollars in 2021. [from inflation data]
F2: 100 dollars were freely given 20 years ago.
PROGRAM:
Q1: How much does a 20 year old dollar cost today?
Q2: How many dollars were freely given 20 years ago?
A1: $1.51
A2: 100=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: $151
Question: How much money have the creators of Among Us made from their game?
CONTEXT:
F1: The cost of Among Us on steam is 5 USD
F2: The total number of purchases of Among Us on steam is 3.8e+6
F3: What is the total investment put into making Among Us?
PROGRAM:
Q1: What is the cost of Among Us on steam?
Q2: What is the total number of purchases of Among Us on steam?
Q3: What is the total investment put into creating Among Us?
Q4: What is the incoming revenue from the sales of Among Us on steam?
A1: $5
A2: 3.8e+6
A3: $1e+6=Q2 -> A2 | F2=Q1 -> A1 | F1=Q4 -> Mul (Q1, Q2)=Q3 -> A3 | F3
P: Sub (Q4, Q3)
Answer: $18e+6
Question: How many SO bacteria would be able to be packed into a ping pong ball?
CONTEXT:
F1: The volume of ping pong ball is 33.5 cc
F2: The volume of single SO bacterium is 2e-12 cc
PROGRAM:
Q1: What is the volume of a ping pong ball?
Q2: What is the volume of an SO bacterium?
A1: 33.5 cm**3
A2: 2e-12 cm**3=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div (Q1, Q2)
Answer: 1.60E+13
Question: How much cash can you fit in a bag?
CONTEXT:
F1: The volume of a normal bag is 30000 cc
F2: The volume of the highest denomination note is 1.14 cc
F3: The denomination value of the note is 100 USD
PROGRAM:
Q1: What is the volume of a normal bag?
Q2: What is the volume of the highest denomination note?
Q3: what is the denomination value?
Q4: What is the number of notes that fit in a bag?
A1: 30000 cm**3
A2: 1.14 cm**3
A3: $100=Q2 -> A2 | F2=Q1 -> A1| F1=Q4 -> Div (Q1, Q2)=Q3 -> A3 | F3
P: Mul (Q4, Q3)
Answer: $2631578
Question: How much of the atmosphere of Earth has passed through a combustion engine?
CONTEXT:
F1: The atmospheric stretch occupied by the stratosphere is 60 km
F2: The atmospheric stretch occupied by the entire atmosphere is 10000 km
F3: Since airplanes fly in the stratosphere, taking into account that stratosphere will be the layer of earth that has passed through a combustion engine.
PROGRAM:
Q1: What is the area occupied by the stratosphere?
Q2: What is the area occupied by the entire atmosphere?
A1: 60 km
A2: 10000 km=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div (Q1, Q2)
Answer: 0.006
Question: If the oceans dried up, estimate the thickness (cm) of the resulting layer of salt uniformly covering the earth.
CONTEXT:
F1: The surface area of the ocean cover on Earth is 1.39e+8 miles**2
F2: The percentage of salt in oceans is 23%.
F3: The volume of oceans is 2.5e+11 miles**3
F4: 1 mile is 160934 cm
PROGRAM:
Q1: What is the total volume of salt present on earth when oceans dry up?
Q2: What is the surface area of the ocean cover of earth?
Q3: What percent of the ocean's volume consists of salt?
Q4: What is the total volume of the oceans?
Q5: How many cm is one mile?
Q6: What is the thickness of salt covering the earth in miles?
A1: 1.4e+8 miles**2
A2: 0.23
A3: 2.5e+11 miles**3
A4: 160934 cm/mile=Q4 -> A3 | F3=Q3 -> A2 | F2=Q1 -> Mul (Q3, Q4)=Q2 -> A1 | F1=Q6 -> Div (Q1, Q2)=Q5 -> A4 | F4
P: Mul (Q5, Q6)
Answer: 66097892 cm
Question: Assume that all of the oxygen transported during a year in an adult male is converted to liquid water. What is the volume of that water in cc?
CONTEXT:
F1: 100 cubic centimeters of oxygen (STP) are transported during a day in an adult male.
F2: There are 365 days in a year.
F3: The ratio of volume of oxygen to water to volume of oxygen in a water molecule is 1.125
PROGRAM:
Q3: What is the ratio of volume of oxygen to water to volume of oxygen in a water molecule?
Q4: How many cubic centimeters of oxygen (STP) are transported during a year in an adult male?
Q1: How many cubic centimeters of oxygen (STP) are transported during a day in an adult male?
Q2: How many days are there in a year?
A1: 100 cm**3
A2: 365
A3: 1.125=Q2 -> A2 | F2=Q1 -> A1 | F1=Q4 -> Mul (Q1, Q2)=Q3 -> A3 | F3
P: Mul (Q3, Q4)
Answer: 41062 cm**3
Question: How many people would be needed to surround this city if they held hands?
CONTEXT:
F1: The perimeter of California city border is 1673718 meters
F2: The average length between both hands when holding two different people on both sides is 0.6m
PROGRAM:
Q1: What is the perimeter of the city?
Q2: What is the length between both hands when holding two different people on both sides?
A1: 1673718 meters
A2: 0.6 meters=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div(Q1, Q2)
Answer: 2789530
Question: How many cells are there in the human body?
CONTEXT:
F1: The cell density in humans is 3e+9 cells/mL
F2: The total volume of a human body is 62000 mL
PROGRAM:
Q1: What is the cell density in humans?
Q2: What is the total volume of a human body?
A1: 3e+9 mL**-1
A2: 62000 mL=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 1.86E+14
Question: If a ship sank and a large pocket of air was trapped in an airtight spot, how long would the air be breathable for a survivor?
CONTEXT:
F1: The approximate volume content of the air pocket is 1000 L of O2
F2: An average human breathes 8 L of air in a minute
PROGRAM:
Q1: What is the approximate volume content of the air pocket?
Q2: How much air does an average human breath in a minute?
A1: 1000 L
A2: 8 L*min**-1=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div (Q1, Q2)
Answer: 125 min
Question: How much force does it take for a finger to puncture a part of your body?
CONTEXT:
F1: The pressure generally applied to puncture a part of our body is 377e+6 Pa (using the fact that bullet carries 377 MPa while hitting a body)
F2: The surface area of impact is 4e-4 sq.m
PROGRAM:
Q1: How much pressure does it take to puncture a small part of our body ?
Q2: What is the area of impact?
A1: 377e+6 pascal
A2: 4e-4 m**2=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 150800 N
Question: Under ideal conditions, the bacterium eNSO can reproduce in 10 minutes. eNSO is rodlike with a diameter of 1 µm and a length of 5 µm. If eNSO eats only onions as its food source, how many minutes elapse before it consumes an amount equal to the onion mass consumed in the US in a year?
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.
F5: The total consumption of onion in the US per year is 7.2e+9 pounds
F6: Each eNSO eats 0.00005 pounds in a minute
PROGRAM:
Q10: What is the total consumption of onion in a year in the US?
Q9: How much onion is eaten by the total eNSO bacterium in a minute?
Q8: How much onion does an eNSO bacterium eat in a minute?
Q7: Under ideal conditions, the bacterium eNSO can reproduce in 10 minutes. How many eNSO can claim the same ancestor after 24 hours?
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 hour
A3: 60 min*hour**-1
A4: 10 min
A5: 7.2e+9 lb
A6: 0.00005 lb*min**-1=Q6 -> A4 | F4=Q5 ->A3 | F3=Q4 -> Div (Q5, Q6)=Q3 -> A2 | F2=Q2 -> Mul (Q3, Q4)=Q1 -> A1 | F1=Q7 -> Pow (Q1, Q2)=Q8 -> A6 | F6=Q9 -> Mul (Q7, Q8)=Q10 -> A5 | F5
P: Div (Q10, Q9)
Answer: 6.5e-30 min
Question: if a peacock mantis shrimp was 200 pounds and everything was scaled up accordingly, how hard would it be able to punch?
CONTEXT:
F1: The average punch power of the shrimp is 1e-5 J
F2: The new mass of the shrimp is 200 pound
F3: The original mass of the shrimp is 0.11 pound
PROGRAM:
Q1: What is the average punch power of peacock mantis shrimp?
Q2: What is the ratio of the new mass of the shrimp to its original mass?
Q3: What is the new mass of the shrimp?
Q4: What is the original mass of the shrimp?
A1: 1e-3 J
A2: 200 lb
A3: 0.11 lb=Q4 -> A3 | F3=Q3 -> A2 | F2=Q2 -> Div (Q3, Q4)=Q1 -> A1 | F1
P: Mul (Q2, Q1)
Answer: 1.8 J
Question: If the land area of the earth were divided up equally for each person on the planet, about how much would you get?
CONTEXT:
F1: The total land area on earth is 510100000 sq. km
F2: The total human population is 7673500000
PROGRAM:
Q1: What is the total land area of the Earth?
Q2: What is the total human population on Earth
A1: 510100000 km**2
A2: 7673500000 people=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div(Q1, Q2)
Answer: 0.066 km ** 2 * person ** -1
Question: How far could you dive into a pool filled with Nerds candy?
CONTEXT:
F1: The average depth one could go through a normal dive in a pool is 7 feet.
F2: The density ratio of nerd candy to water is 3 (approx)
PROGRAM:
Q1: How far could one dive into a pool filled with water?
Q2: What is the density ratio of nerd candy and water
A1: 7 ft
A2: 3=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div (Q1, Q2)
Answer: 2.333 ft.
Question: What is the volume of the Earth's oceans in cubic miles?
CONTEXT:
F1: The surface area of earth's oceans is 196943761 square miles
F2: The depth of earth's ocean is 2.3 miles
PROGRAM:
Q1: What is the surface area of Earth's oceans?
Q2: What is the depth of earth's oceans?
A1: 196943761 miles**2
A2: 2.3 miles=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 452970650 miles ** 3
Question: How many crackers would cover a sheet of paper?
CONTEXT:
F1: The surface area of a sheet of paper is 0.5 sq. metre.
F2: The surface area of a single cracker is 0.0025 sq. metre
PROGRAM:
Q1: What is the surface area of a sheet of paper?
Q2: What is the surface area of a single cracker?
A1: 0.5 m**2
A2: 0.0025 m**2=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div (Q1, Q2)
Answer: 200
Question: What is the approximate gap between the oldest living generation to the newest?
CONTEXT:
F2: The latest year that the newest living generation was born in is 2021.
F1: The current oldest living person was born in 1903
PROGRAM:
Q1: Which year was the oldest living person alive now born in?
Q2: What is the latest year that the newest living generation was born in?
A1: 1903 year
A2: 2021 year=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Sub (Q2, Q1)
Answer: 118 years
Question: How much does the total student population in your school weigh, in grams?
CONTEXT:
F1: There are 516 students on an average in a school.
F2: The weight of an average school going kid is 35000 g
PROGRAM:
Q1: What is the average number of students in a single school?
Q2: What is the average weight of a school going kid?
A1: 516
A2: 35000 g=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q2, Q1)
Answer: 18060000 g
Question: What's the average number of descendents per human who ever lived?
CONTEXT:
F1: The human race is 300 generations old.
F2: An average human had about 6 descendants on an average.
PROGRAM:
Q1: How many generations of humans have lived until now?
Q2: What is the average number of descendants for one person per generation?
A1: 300
A2: 6=Q2 -> A2 | F2=Q1 -> A1 | F2
P: Mul (Q1, Q2)
Answer: 1800
Question: How many peas would you need to fill a bath?
CONTEXT:
F1: The average volume of a bath-tub is 10.65 cubic feet.
F2: The average volume of a pea is 0.000035 cubic feet.
PROGRAM:
Q1: What is the average volume of a bath-tub?
Q2: What is the average volume of a single pea?
A1: 10.65 ft**3
A2: 0.000035 ft**3=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div(Q1, Q2)
Answer: 304285
Question: The Federal Budget Deficit is approximately $100 Billion this year. What percentage of this do Americans spend on food in restaurants in one year?
CONTEXT:
F1: There are 12 months in a year.
F2: The average monthly expenditure of a US consumer on food in restaurants is 233 USD
PROGRAM:
Q1: How many months are there in a year?
Q2: What is the monthly expenditure of a US consumer for food in restaurants?
A1: 12
A2: 233=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: $2796
Question: If a planet was 5 times the size of the Earth with 1.5 times the radius, what would the surface gravity be?
CONTEXT:
F1: The current surface gravity is 10 m/s**2
F2: The new mass is 5x the old mass
F3: The new radius is 1.5x the old radius.
F4: The multiplicative factor to get the sqaure of the radius is 2
F5: The multiplicative factor to get the inverse of the radius is 1
PROGRAM:
Q1: What is the value of current surface gravity?
Q2: What is the product of mass and inverse of the square of the radius?
Q3: What is the new mass?
Q4: What is the inverse radius square of the new radius
Q5: What is the new radius?
Q7: What is the inverse of the radius?
Q8: What is the multiplicative factor to get the square of the radius?
Q9: What is the multiplicative factor to get the inverse of the radius?
A1: 10 m*s**-2
A2: 5
A3: 1.5
A4: 1
A5: 2=Q5 -> A3 | F3=Q9 -> A4 | F5=Q7 -> Div (Q9, Q5)=Q8 -> A5 | F4=Q4 -> Pow (Q7, Q8)=Q3 -> A2 | F2=Q2 -> Mul (Q3, Q4)=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 22.2 m*s**-2
Question: A steel ball is dropped from a height of three meters onto a concrete floor. It bounces a large number of times but eventually comes to rest. Estimate the ball's rise in temperature.
CONTEXT:
F1: The steel ball bounces on an average of 50 times when thrown from 3 m. [estimate]
F2: The average increase in temperature per bounce of a steel ball is 0.05 degree
PROGRAM:
Q1: How many times does a steel ball bounce when thrown from 3 m height?
Q2: What is the average increase in temperature per bounce of a steel ball?
A1: 50
A2: 0.05 degree=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 2.5 degree
Question: How many hours of unique motion picture is there?
CONTEXT:
F1: Around 500000 movies have been made in the world until today.
F2: The average run time of a movie is 1.5 hours.
PROGRAM:
Q1: What is the total number of movies that have been released till now?
Q2: What is the average run time of a movie?
A1: 500000
A2: 1.5 hours=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 750000 hours
Question: What is the weight of garbage thrown away by each family every year?
CONTEXT:
F1: The average garbage thrown by a household daily is 7.8 kg
F2: The duration of a year in days is 365.
PROGRAM:
Q1: What is the average garbage thrown by a household daily?
Q2: What is the duration of a year in days?
A1: 7.8 kg
A2: 365=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Mul (Q1, Q2)
Answer: 2847 kg
Question: How many adults donate blood each year in the United States?
CONTEXT:
F1: The total blood donated each year in the US is 15695000 pints
F2: The volume of blood donated by an average American at once is 2 pints
PROGRAM:
Q1: What is the total blood donated each year in the US?
Q2: What is the average blood donated by a single person?
A1: 15695000
A2: 2=Q2 -> A2 | F2=Q1 -> A1 | F1
P: Div(Q1, Q2)
Answer: 7847500