prompt
stringlengths
5
628
messages
listlengths
2
2
model_completion
stringlengths
2
1.88k
reference_completion
stringlengths
5
628
if 25 ^ 5 × 5 ^ ( - 1 ) = ( 125 ) ^ x , then what is the value of x ?
[ { "content": "if 25 ^ 5 × 5 ^ ( - 1 ) = ( 125 ) ^ x , then what is the value of x ?", "role": "user" }, { "content": "What is the value of x in the equation 25 ^ 5 × 5 ^ ( - 1 ) = ( 125 ) ^ x ?", "role": "assistant" } ]
What is the value of x in the equation 25 ^ 5 × 5 ^ ( - 1 ) = ( 125 ) ^ x ?
if 25 ^ 5 × 5 ^ ( - 1 ) = ( 125 ) ^ x , then what is the value of x ?
a lady starts from p towards q and realizes that at a point r , if he walks 50 km further he will be at a point s , which is as far away from r as it is from q . what is the distance between p and q if the distance between p and r is half the distance from r to q ? ( assume that p , q , r and s are all on the same straight line )
[ { "content": "a lady starts from p towards q and realizes that at a point r , if he walks 50 km further he will be at a point s , which is as far away from r as it is from q . what is the distance between p and q if the distance between p and r is half the distance from r to q ? ( assume that p , q , r and s are all on the same straight line )", "role": "user" }, { "content": "If a lady travels from P to Q and finds that at point R, walking 50 km more would put her at point S, which is equidistant from R and Q, what is the distance between P and Q given that the distance from P to R is half the distance from R to Q (assuming P, Q, R, and S are on the same straight line)?", "role": "assistant" } ]
If a lady travels from P to Q and finds that at point R, walking 50 km more would put her at point S, which is equidistant from R and Q, what is the distance between P and Q given that the distance from P to R is half the distance from R to Q (assuming P, Q, R, and S are on the same straight line)?
a lady starts from p towards q and realizes that at a point r , if he walks 50 km further he will be at a point s , which is as far away from r as it is from q . what is the distance between p and q if the distance between p and r is half the distance from r to q ? ( assume that p , q , r and s are all on the same straight line )
how many odd factors does 250 have ?
[ { "content": "how many odd factors does 250 have ?", "role": "user" }, { "content": "What is the number of odd factors of 250?", "role": "assistant" } ]
What is the number of odd factors of 250?
how many odd factors does 250 have ?
in kaya ' s teacher ' s desk there are 24 pink highlighters , 28 yellow highlighters , and 25 blue highlighters . how many highlighters are there in all ?
[ { "content": "in kaya ' s teacher ' s desk there are 24 pink highlighters , 28 yellow highlighters , and 25 blue highlighters . how many highlighters are there in all ?", "role": "user" }, { "content": "In Kaya's teacher's desk, there are 24 pink highlighters, 28 yellow highlighters, and 25 blue highlighters. What is the total number of highlighters?", "role": "assistant" } ]
In Kaya's teacher's desk, there are 24 pink highlighters, 28 yellow highlighters, and 25 blue highlighters. What is the total number of highlighters?
in kaya ' s teacher ' s desk there are 24 pink highlighters , 28 yellow highlighters , and 25 blue highlighters . how many highlighters are there in all ?
a train speeds past a pole in 10 seconds and a platform 50 m long in 20 seconds . its length is :
[ { "content": "a train speeds past a pole in 10 seconds and a platform 50 m long in 20 seconds . its length is :", "role": "user" }, { "content": "the length of the train is", "role": "assistant" } ]
the length of the train is
a train speeds past a pole in 10 seconds and a platform 50 m long in 20 seconds . its length is :
the sum of two numbers is 528 and their h . c . f is 33 . the number of pairs of numbers satisfying the above condition is
[ { "content": "the sum of two numbers is 528 and their h . c . f is 33 . the number of pairs of numbers satisfying the above condition is", "role": "user" }, { "content": "What is the number of pairs of numbers whose sum is 528 and highest common factor is 33?", "role": "assistant" } ]
What is the number of pairs of numbers whose sum is 528 and highest common factor is 33?
the sum of two numbers is 528 and their h . c . f is 33 . the number of pairs of numbers satisfying the above condition is
the average age of 50 students in a class is 10 years . if teacher ' s age is also included then average increases 1 year then find the teacher ' s age ?
[ { "content": "the average age of 50 students in a class is 10 years . if teacher ' s age is also included then average increases 1 year then find the teacher ' s age ?", "role": "user" }, { "content": "What is the teacher's age if adding it to the average age of 50 students increases the average by 1 year from 10 years?", "role": "assistant" } ]
What is the teacher's age if adding it to the average age of 50 students increases the average by 1 year from 10 years?
the average age of 50 students in a class is 10 years . if teacher ' s age is also included then average increases 1 year then find the teacher ' s age ?
the denominator of a fraction is 6 greater than the numerator . if the numerator and the denominator are increased by 1 , the resulting fraction is equal to 4 ⠁ „ 5 . what is the value of the original fraction ?
[ { "content": "the denominator of a fraction is 6 greater than the numerator . if the numerator and the denominator are increased by 1 , the resulting fraction is equal to 4 ⠁ „ 5 . what is the value of the original fraction ?", "role": "user" }, { "content": "If the numerator and denominator of a fraction are each increased by 1, the fraction becomes 4/5. Given the denominator is 6 greater than the numerator, what is the original fraction?", "role": "assistant" } ]
If the numerator and denominator of a fraction are each increased by 1, the fraction becomes 4/5. Given the denominator is 6 greater than the numerator, what is the original fraction?
the denominator of a fraction is 6 greater than the numerator . if the numerator and the denominator are increased by 1 , the resulting fraction is equal to 4 ⠁ „ 5 . what is the value of the original fraction ?
consider the sets tn = { n , n + 1 , n + 2 , n + 3 , n + 4 ) , where n = 1 , 2 , 3 , … , 96 . how many of these sets contain 6 or any integral multiple thereof ( i . e . , any one of the numbers 6 , 12 , 18 , … ) ?
[ { "content": "consider the sets tn = { n , n + 1 , n + 2 , n + 3 , n + 4 ) , where n = 1 , 2 , 3 , … , 96 . how many of these sets contain 6 or any integral multiple thereof ( i . e . , any one of the numbers 6 , 12 , 18 , … ) ?", "role": "user" }, { "content": "How many of the sets tn = { n , n + 1 , n + 2 , n + 3 , n + 4 ) , for n = 1 to 96 , contain a multiple of 6 ?", "role": "assistant" } ]
How many of the sets tn = { n , n + 1 , n + 2 , n + 3 , n + 4 ) , for n = 1 to 96 , contain a multiple of 6 ?
consider the sets tn = { n , n + 1 , n + 2 , n + 3 , n + 4 ) , where n = 1 , 2 , 3 , … , 96 . how many of these sets contain 6 or any integral multiple thereof ( i . e . , any one of the numbers 6 , 12 , 18 , … ) ?
car z travels 55 miles per gallon of gasoline when driven at a constant rate of 45 miles per hour , but travels 20 percent fewer miles per gallon of gasoline when driven at a constant rate of 60 miles per hour . how many miles does car z travel on 10 gallons of gasoline when driven at a constant rate of 60 miles per hour ?
[ { "content": "car z travels 55 miles per gallon of gasoline when driven at a constant rate of 45 miles per hour , but travels 20 percent fewer miles per gallon of gasoline when driven at a constant rate of 60 miles per hour . how many miles does car z travel on 10 gallons of gasoline when driven at a constant rate of 60 miles per hour ?", "role": "user" }, { "content": "What distance will car z cover with 10 gallons of gasoline when driven at a constant 60 miles per hour?", "role": "assistant" } ]
What distance will car z cover with 10 gallons of gasoline when driven at a constant 60 miles per hour?
car z travels 55 miles per gallon of gasoline when driven at a constant rate of 45 miles per hour , but travels 20 percent fewer miles per gallon of gasoline when driven at a constant rate of 60 miles per hour . how many miles does car z travel on 10 gallons of gasoline when driven at a constant rate of 60 miles per hour ?
a certain farmer pays $ 70 per acre per month to rent farmland . how much does the farmer pay per month to rent a rectangular plot of farmland that is 360 feet by 605 feet ? ( 43,560 square feet = 1 acre )
[ { "content": "a certain farmer pays $ 70 per acre per month to rent farmland . how much does the farmer pay per month to rent a rectangular plot of farmland that is 360 feet by 605 feet ? ( 43,560 square feet = 1 acre )", "role": "user" }, { "content": "What is the monthly rent for a rectangular plot of farmland that is 360 feet by 605 feet, given that the farmer pays $70 per acre and 1 acre equals 43,560 square feet ?", "role": "assistant" } ]
What is the monthly rent for a rectangular plot of farmland that is 360 feet by 605 feet, given that the farmer pays $70 per acre and 1 acre equals 43,560 square feet ?
a certain farmer pays $ 70 per acre per month to rent farmland . how much does the farmer pay per month to rent a rectangular plot of farmland that is 360 feet by 605 feet ? ( 43,560 square feet = 1 acre )
if a square mirror has a 20 - inch diagonal , what is the approximate perimeter t of the mirror , in inches ?
[ { "content": "if a square mirror has a 20 - inch diagonal , what is the approximate perimeter t of the mirror , in inches ?", "role": "user" }, { "content": "What is the approximate perimeter, in inches, of a square mirror with a 20-inch diagonal?", "role": "assistant" } ]
What is the approximate perimeter, in inches, of a square mirror with a 20-inch diagonal?
if a square mirror has a 20 - inch diagonal , what is the approximate perimeter t of the mirror , in inches ?
a clock shows the time as 9 a . m . if the minute hand gains 6 minutes every hour , how many minutes will the clock gain by 6 p . m . ?
[ { "content": "a clock shows the time as 9 a . m . if the minute hand gains 6 minutes every hour , how many minutes will the clock gain by 6 p . m . ?", "role": "user" }, { "content": "If the minute hand gains 6 minutes every hour, how many minutes will it gain by 6 p.m. if the clock currently shows 9 a.m.?", "role": "assistant" } ]
If the minute hand gains 6 minutes every hour, how many minutes will it gain by 6 p.m. if the clock currently shows 9 a.m.?
a clock shows the time as 9 a . m . if the minute hand gains 6 minutes every hour , how many minutes will the clock gain by 6 p . m . ?
20 people went to a hotel for combine dinner party 12 of them spent rs . 70 each on their dinner and rest spent 4 more than the average expenditure of all the 20 . what was the total money spent by them .
[ { "content": "20 people went to a hotel for combine dinner party 12 of them spent rs . 70 each on their dinner and rest spent 4 more than the average expenditure of all the 20 . what was the total money spent by them .", "role": "user" }, { "content": "At a hotel dinner party, 20 people attended, with 12 spending Rs. 70 each on their meal, and the rest spending Rs. 4 more than the average expenditure of the entire group of 20. What was the total amount spent by all of them?", "role": "assistant" } ]
At a hotel dinner party, 20 people attended, with 12 spending Rs. 70 each on their meal, and the rest spending Rs. 4 more than the average expenditure of the entire group of 20. What was the total amount spent by all of them?
20 people went to a hotel for combine dinner party 12 of them spent rs . 70 each on their dinner and rest spent 4 more than the average expenditure of all the 20 . what was the total money spent by them .
how many integers k greater than 100 and less than 600 are there such that if the hundreds and the unit digits of k are reversed , the resulting integer is k + 99 ?
[ { "content": "how many integers k greater than 100 and less than 600 are there such that if the hundreds and the unit digits of k are reversed , the resulting integer is k + 99 ?", "role": "user" }, { "content": "What is the count of integers k between 100 and 600, where reversing the hundreds and unit digits yields k + 99?", "role": "assistant" } ]
What is the count of integers k between 100 and 600, where reversing the hundreds and unit digits yields k + 99?
how many integers k greater than 100 and less than 600 are there such that if the hundreds and the unit digits of k are reversed , the resulting integer is k + 99 ?
the ratio of the two natural numbers is 5 : 6 . if a certain number is added to both the numbers , the ratio becomes 7 : 8 . if the larger number exceeds the smaller number by 10 , find the number added ?
[ { "content": "the ratio of the two natural numbers is 5 : 6 . if a certain number is added to both the numbers , the ratio becomes 7 : 8 . if the larger number exceeds the smaller number by 10 , find the number added ?", "role": "user" }, { "content": "A certain number is added to both numbers in a 5:6 ratio, changing it to 7:8, and the larger number is 10 more than the smaller; what is the added number?", "role": "assistant" } ]
A certain number is added to both numbers in a 5:6 ratio, changing it to 7:8, and the larger number is 10 more than the smaller; what is the added number?
the ratio of the two natural numbers is 5 : 6 . if a certain number is added to both the numbers , the ratio becomes 7 : 8 . if the larger number exceeds the smaller number by 10 , find the number added ?
what annual payment will discharge a debt of rs . 1060 due in 2 years at the rate of 5 % compound interest ?
[ { "content": "what annual payment will discharge a debt of rs . 1060 due in 2 years at the rate of 5 % compound interest ?", "role": "user" }, { "content": "What annual payment is required to settle a 2-year debt of Rs. 1060 at a 5% compound interest rate?", "role": "assistant" } ]
What annual payment is required to settle a 2-year debt of Rs. 1060 at a 5% compound interest rate?
what annual payment will discharge a debt of rs . 1060 due in 2 years at the rate of 5 % compound interest ?
50 % of the population of a village is 23040 . the total population of the village is ?
[ { "content": "50 % of the population of a village is 23040 . the total population of the village is ?", "role": "user" }, { "content": "What is the total population of the village if half of it is 23040?", "role": "assistant" } ]
What is the total population of the village if half of it is 23040?
50 % of the population of a village is 23040 . the total population of the village is ?
if the perimeter of a rectangular house is 1400 m , its length when its breadth is 300 m is ?
[ { "content": "if the perimeter of a rectangular house is 1400 m , its length when its breadth is 300 m is ?", "role": "user" }, { "content": "What is the length of the rectangular house given a breadth of 300 m and a perimeter of 1400 m?", "role": "assistant" } ]
What is the length of the rectangular house given a breadth of 300 m and a perimeter of 1400 m?
if the perimeter of a rectangular house is 1400 m , its length when its breadth is 300 m is ?
the price of an item is discounted 4 percent on day 1 of a sale . on day 2 , the item is discounted another 4 percent , and on day 3 , it is discounted an additional 10 percent . the price of the item on day 3 is what percentage of the sale price on day 1 ?
[ { "content": "the price of an item is discounted 4 percent on day 1 of a sale . on day 2 , the item is discounted another 4 percent , and on day 3 , it is discounted an additional 10 percent . the price of the item on day 3 is what percentage of the sale price on day 1 ?", "role": "user" }, { "content": "What percentage of the day 1 sale price is the item's price on day 3 ?", "role": "assistant" } ]
What percentage of the day 1 sale price is the item's price on day 3 ?
the price of an item is discounted 4 percent on day 1 of a sale . on day 2 , the item is discounted another 4 percent , and on day 3 , it is discounted an additional 10 percent . the price of the item on day 3 is what percentage of the sale price on day 1 ?
if a # b = ab – b + b ^ 2 , then 3 # 4 =
[ { "content": "if a # b = ab – b + b ^ 2 , then 3 # 4 =", "role": "user" }, { "content": "If a # b = ab – b + b^2, then 3 # 4 = 3*4 - 4 + 4^2", "role": "assistant" } ]
If a # b = ab – b + b^2, then 3 # 4 = 3*4 - 4 + 4^2
if a # b = ab – b + b ^ 2 , then 3 # 4 =
what number has a 4 : 1 ratio to the number 100 ?
[ { "content": "what number has a 4 : 1 ratio to the number 100 ?", "role": "user" }, { "content": "What number is four times 100 ?", "role": "assistant" } ]
What number is four times 100 ?
what number has a 4 : 1 ratio to the number 100 ?
after 10 % of the inhabitants of a village disappeared , a panic set in during which 25 % of the remaining inhabitants left the village . at that time , the population was reduced to 5535 . what was the number of original inhabitants ?
[ { "content": "after 10 % of the inhabitants of a village disappeared , a panic set in during which 25 % of the remaining inhabitants left the village . at that time , the population was reduced to 5535 . what was the number of original inhabitants ?", "role": "user" }, { "content": "After 10% of the village's inhabitants vanished, panic ensued, causing 25% of the remaining residents to flee, ultimately reducing the population to 5535; what was the original number of villagers?", "role": "assistant" } ]
After 10% of the village's inhabitants vanished, panic ensued, causing 25% of the remaining residents to flee, ultimately reducing the population to 5535; what was the original number of villagers?
after 10 % of the inhabitants of a village disappeared , a panic set in during which 25 % of the remaining inhabitants left the village . at that time , the population was reduced to 5535 . what was the number of original inhabitants ?
is two years older than b who is twice as old as c . if the total of the ages of a , b and c be 42 , then how old is b ?
[ { "content": "is two years older than b who is twice as old as c . if the total of the ages of a , b and c be 42 , then how old is b ?", "role": "user" }, { "content": "What is B's age if A is two years older than B, who is twice as old as C, and the sum of their ages is 42?", "role": "assistant" } ]
What is B's age if A is two years older than B, who is twice as old as C, and the sum of their ages is 42?
is two years older than b who is twice as old as c . if the total of the ages of a , b and c be 42 , then how old is b ?
today joelle opened an interest - bearing savings account and deposited $ 7,000 . if the annual interest rate is 5 percent compounded interest , and she neither deposits nor withdraws money for exactly 2 years , how much money will she have in the account ?
[ { "content": "today joelle opened an interest - bearing savings account and deposited $ 7,000 . if the annual interest rate is 5 percent compounded interest , and she neither deposits nor withdraws money for exactly 2 years , how much money will she have in the account ?", "role": "user" }, { "content": "If Joelle opens an interest-bearing savings account with a $7,000 deposit and a 5% annual interest rate, compounded interest, and no transactions for 2 years, what will her balance be?", "role": "assistant" } ]
If Joelle opens an interest-bearing savings account with a $7,000 deposit and a 5% annual interest rate, compounded interest, and no transactions for 2 years, what will her balance be?
today joelle opened an interest - bearing savings account and deposited $ 7,000 . if the annual interest rate is 5 percent compounded interest , and she neither deposits nor withdraws money for exactly 2 years , how much money will she have in the account ?
last year the range of the annual bonus of the 100 employees at company x was $ 20000 . if the annual bonus of each of the 100 employees this year is 10 percent greater than it was last year , what is the range of the annual bonus of the 100 employees this year ?
[ { "content": "last year the range of the annual bonus of the 100 employees at company x was $ 20000 . if the annual bonus of each of the 100 employees this year is 10 percent greater than it was last year , what is the range of the annual bonus of the 100 employees this year ?", "role": "user" }, { "content": "What will be the range of the annual bonus for the 100 employees at Company X this year if each employee's bonus is 10% higher than last year's, when the range was $20,000?", "role": "assistant" } ]
What will be the range of the annual bonus for the 100 employees at Company X this year if each employee's bonus is 10% higher than last year's, when the range was $20,000?
last year the range of the annual bonus of the 100 employees at company x was $ 20000 . if the annual bonus of each of the 100 employees this year is 10 percent greater than it was last year , what is the range of the annual bonus of the 100 employees this year ?
the list price of an article is rs . 65 . a customer pays rs . 56.16 for it . he was given two successive discounts , one of them being 10 % . the other discount is ?
[ { "content": "the list price of an article is rs . 65 . a customer pays rs . 56.16 for it . he was given two successive discounts , one of them being 10 % . the other discount is ?", "role": "user" }, { "content": "What is the second discount percentage given to the customer who bought the article listed at Rs. 65 for Rs. 56.16 after a 10% discount?", "role": "assistant" } ]
What is the second discount percentage given to the customer who bought the article listed at Rs. 65 for Rs. 56.16 after a 10% discount?
the list price of an article is rs . 65 . a customer pays rs . 56.16 for it . he was given two successive discounts , one of them being 10 % . the other discount is ?
a spirit and water solution is sold in a market . the cost per liter of the solution is directly proportional to the part ( fraction ) of spirit ( by volume ) the solution has . a solution of 1 liter of spirit and 1 liter of water costs 50 cents . how many cents does a solution of 1 liter of spirit and 3 liters of water cost ?
[ { "content": "a spirit and water solution is sold in a market . the cost per liter of the solution is directly proportional to the part ( fraction ) of spirit ( by volume ) the solution has . a solution of 1 liter of spirit and 1 liter of water costs 50 cents . how many cents does a solution of 1 liter of spirit and 3 liters of water cost ?", "role": "user" }, { "content": "A spirit and water solution is sold in a market. The cost per liter of the solution is directly proportional to the part (fraction) of spirit (by volume) the solution has. A solution of 1 liter of spirit and 1 liter of water costs 50 cents. How much does a solution of 1 liter of spirit and 3 liters of water cost in cents?", "role": "assistant" } ]
A spirit and water solution is sold in a market. The cost per liter of the solution is directly proportional to the part (fraction) of spirit (by volume) the solution has. A solution of 1 liter of spirit and 1 liter of water costs 50 cents. How much does a solution of 1 liter of spirit and 3 liters of water cost in cents?
a spirit and water solution is sold in a market . the cost per liter of the solution is directly proportional to the part ( fraction ) of spirit ( by volume ) the solution has . a solution of 1 liter of spirit and 1 liter of water costs 50 cents . how many cents does a solution of 1 liter of spirit and 3 liters of water cost ?
two trains are running in opposite directions in the same speed . the length of each train is 120 meter . if they cross each other in 12 seconds , the speed of each train ( in km / hr ) is
[ { "content": "two trains are running in opposite directions in the same speed . the length of each train is 120 meter . if they cross each other in 12 seconds , the speed of each train ( in km / hr ) is", "role": "user" }, { "content": "Two trains are running in opposite directions at the same speed, each 120 meters long. If they cross each other in 12 seconds, what is the speed of each train in km/hr?", "role": "assistant" } ]
Two trains are running in opposite directions at the same speed, each 120 meters long. If they cross each other in 12 seconds, what is the speed of each train in km/hr?
two trains are running in opposite directions in the same speed . the length of each train is 120 meter . if they cross each other in 12 seconds , the speed of each train ( in km / hr ) is
what is the measure of the radius of the circle inscribed in a triangle whose sides measure 8 , 15 and 21 units ?
[ { "content": "what is the measure of the radius of the circle inscribed in a triangle whose sides measure 8 , 15 and 21 units ?", "role": "user" }, { "content": "what is the radius of the inscribed circle in a triangle with side lengths 8, 15, and 21 units ?", "role": "assistant" } ]
what is the radius of the inscribed circle in a triangle with side lengths 8, 15, and 21 units ?
what is the measure of the radius of the circle inscribed in a triangle whose sides measure 8 , 15 and 21 units ?
if ( 4 - x ) / ( 5 + x ) = x , what is the value of x ^ 2 + 6 x - 4 ?
[ { "content": "if ( 4 - x ) / ( 5 + x ) = x , what is the value of x ^ 2 + 6 x - 4 ?", "role": "user" }, { "content": "Given ( 4 - x ) / ( 5 + x ) = x , what is x ^ 2 + 6 x - 4 equal to ?", "role": "assistant" } ]
Given ( 4 - x ) / ( 5 + x ) = x , what is x ^ 2 + 6 x - 4 equal to ?
if ( 4 - x ) / ( 5 + x ) = x , what is the value of x ^ 2 + 6 x - 4 ?
a certain bus driver is paid a regular rate of $ 16 per hour for any number of hours that does not exceed 40 hours per week . for any overtime hours worked in excess of 40 hours per week , the bus driver is paid a rate that is 75 % higher than his regular rate . if last week the bus driver earned $ 1004 in total compensation , how many total hours did he work that week ?
[ { "content": "a certain bus driver is paid a regular rate of $ 16 per hour for any number of hours that does not exceed 40 hours per week . for any overtime hours worked in excess of 40 hours per week , the bus driver is paid a rate that is 75 % higher than his regular rate . if last week the bus driver earned $ 1004 in total compensation , how many total hours did he work that week ?", "role": "user" }, { "content": "What is the total number of hours the bus driver worked last week, given that he earned $1004 in total compensation, with a regular rate of $16 per hour for up to 40 hours and 75% higher rate for overtime hours?", "role": "assistant" } ]
What is the total number of hours the bus driver worked last week, given that he earned $1004 in total compensation, with a regular rate of $16 per hour for up to 40 hours and 75% higher rate for overtime hours?
a certain bus driver is paid a regular rate of $ 16 per hour for any number of hours that does not exceed 40 hours per week . for any overtime hours worked in excess of 40 hours per week , the bus driver is paid a rate that is 75 % higher than his regular rate . if last week the bus driver earned $ 1004 in total compensation , how many total hours did he work that week ?
you have to send 3000 grapes 1000 kilometers from grapecity to appleland . your truck can carry 1000 grapes at a time . every time you travel a kilometer towards appleland you must pay a tax of 1 grape but you pay nothing when going in the other direction ( towards grapecity ) . what is highest number of grapes you can get to appleland ?
[ { "content": "you have to send 3000 grapes 1000 kilometers from grapecity to appleland . your truck can carry 1000 grapes at a time . every time you travel a kilometer towards appleland you must pay a tax of 1 grape but you pay nothing when going in the other direction ( towards grapecity ) . what is highest number of grapes you can get to appleland ?", "role": "user" }, { "content": "What is the maximum number of grapes that can be delivered to Appleland from Grapecity, given a 1000-grape truck capacity and a 1-grape-per-kilometer tax for travel to Appleland?", "role": "assistant" } ]
What is the maximum number of grapes that can be delivered to Appleland from Grapecity, given a 1000-grape truck capacity and a 1-grape-per-kilometer tax for travel to Appleland?
you have to send 3000 grapes 1000 kilometers from grapecity to appleland . your truck can carry 1000 grapes at a time . every time you travel a kilometer towards appleland you must pay a tax of 1 grape but you pay nothing when going in the other direction ( towards grapecity ) . what is highest number of grapes you can get to appleland ?
the sum of all consecutive odd integers from − 19 to 29 , inclusive , is
[ { "content": "the sum of all consecutive odd integers from − 19 to 29 , inclusive , is", "role": "user" }, { "content": "The sum of all odd integers from -19 to 29, inclusive, is", "role": "assistant" } ]
The sum of all odd integers from -19 to 29, inclusive, is
the sum of all consecutive odd integers from − 19 to 29 , inclusive , is
the contents of a certain box consist of 14 apples and 25 oranges . how many oranges must be removed from the box so that 70 percent of the pieces of fruit in the box will be apples ?
[ { "content": "the contents of a certain box consist of 14 apples and 25 oranges . how many oranges must be removed from the box so that 70 percent of the pieces of fruit in the box will be apples ?", "role": "user" }, { "content": "To make apples 70 percent of the fruit in the box, how many oranges need to be removed from the 25 oranges and 14 apples currently inside?", "role": "assistant" } ]
To make apples 70 percent of the fruit in the box, how many oranges need to be removed from the 25 oranges and 14 apples currently inside?
the contents of a certain box consist of 14 apples and 25 oranges . how many oranges must be removed from the box so that 70 percent of the pieces of fruit in the box will be apples ?
jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 7 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
[ { "content": "jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 7 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?", "role": "user" }, { "content": "What is the ratio of US to British stamps in Jo's collection , given the US to Indian stamp ratio of 7:2 and the Indian to British stamp ratio of 5:1?", "role": "assistant" } ]
What is the ratio of US to British stamps in Jo's collection , given the US to Indian stamp ratio of 7:2 and the Indian to British stamp ratio of 5:1?
jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 7 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
how many prime numbers are between 13 / 3 and 83 / 6 ?
[ { "content": "how many prime numbers are between 13 / 3 and 83 / 6 ?", "role": "user" }, { "content": "What is the number of prime numbers between 13 / 3 and 83 / 6 ?", "role": "assistant" } ]
What is the number of prime numbers between 13 / 3 and 83 / 6 ?
how many prime numbers are between 13 / 3 and 83 / 6 ?
john makes $ 60 a week from his job . he earns a raise andnow makes $ 80 a week . what is the % increase ?
[ { "content": "john makes $ 60 a week from his job . he earns a raise andnow makes $ 80 a week . what is the % increase ?", "role": "user" }, { "content": "What is the percentage by which John's weekly income has increased after his raise from $60 to $80?", "role": "assistant" } ]
What is the percentage by which John's weekly income has increased after his raise from $60 to $80?
john makes $ 60 a week from his job . he earns a raise andnow makes $ 80 a week . what is the % increase ?
three numbers are in the ratio 3 : 4 : 5 and their l . c . m . is 600 . their h . c . f is ?
[ { "content": "three numbers are in the ratio 3 : 4 : 5 and their l . c . m . is 600 . their h . c . f is ?", "role": "user" }, { "content": "What is the HCF of three numbers in a 3:4:5 ratio with an LCM of 600?", "role": "assistant" } ]
What is the HCF of three numbers in a 3:4:5 ratio with an LCM of 600?
three numbers are in the ratio 3 : 4 : 5 and their l . c . m . is 600 . their h . c . f is ?
a boat takes 19 hours for travelling downstream from point a to point b and coming back to a point c which is at midway between a and b . if the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph , what is the distance between a and b ?
[ { "content": "a boat takes 19 hours for travelling downstream from point a to point b and coming back to a point c which is at midway between a and b . if the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph , what is the distance between a and b ?", "role": "user" }, { "content": "What is the distance between points A and B, given that a boat takes 19 hours to travel downstream from A to B and back to the midpoint C, with the stream's velocity being 4 kmph and the boat's speed in still water being 14 kmph?", "role": "assistant" } ]
What is the distance between points A and B, given that a boat takes 19 hours to travel downstream from A to B and back to the midpoint C, with the stream's velocity being 4 kmph and the boat's speed in still water being 14 kmph?
a boat takes 19 hours for travelling downstream from point a to point b and coming back to a point c which is at midway between a and b . if the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph , what is the distance between a and b ?
in a division sum , the quotient is 18 , the divisor 43 and the remainder 12 , find the dividend ?
[ { "content": "in a division sum , the quotient is 18 , the divisor 43 and the remainder 12 , find the dividend ?", "role": "user" }, { "content": "In a division problem, if the quotient is 18, the divisor is 43, and the remainder is 12, what is the dividend?", "role": "assistant" } ]
In a division problem, if the quotient is 18, the divisor is 43, and the remainder is 12, what is the dividend?
in a division sum , the quotient is 18 , the divisor 43 and the remainder 12 , find the dividend ?
x and y are both integers . if x / y = 50.60 , then what is the sum of all the possible two digit remainders of x / y ?
[ { "content": "x and y are both integers . if x / y = 50.60 , then what is the sum of all the possible two digit remainders of x / y ?", "role": "user" }, { "content": "Given x and y are integers, what is the sum of all possible two-digit remainders when x is divided by y if the quotient is 50.60?", "role": "assistant" } ]
Given x and y are integers, what is the sum of all possible two-digit remainders when x is divided by y if the quotient is 50.60?
x and y are both integers . if x / y = 50.60 , then what is the sum of all the possible two digit remainders of x / y ?
the average weight of 10 men is increased by 1 ½ kg when one of the men who weighs 60 kg is replaced by a new man . what is the weight of the new man ?
[ { "content": "the average weight of 10 men is increased by 1 ½ kg when one of the men who weighs 60 kg is replaced by a new man . what is the weight of the new man ?", "role": "user" }, { "content": "If a 60 kg man is replaced by another man, causing the average weight of 10 men to increase by 1 ½ kg, what is the weight of the new man?", "role": "assistant" } ]
If a 60 kg man is replaced by another man, causing the average weight of 10 men to increase by 1 ½ kg, what is the weight of the new man?
the average weight of 10 men is increased by 1 ½ kg when one of the men who weighs 60 kg is replaced by a new man . what is the weight of the new man ?
a shopkeeper sold an article at $ 1050 and gained a 20 % profit . what was the cost price ?
[ { "content": "a shopkeeper sold an article at $ 1050 and gained a 20 % profit . what was the cost price ?", "role": "user" }, { "content": "What was the cost price of the article that a shopkeeper sold for $1050 with a 20% profit?", "role": "assistant" } ]
What was the cost price of the article that a shopkeeper sold for $1050 with a 20% profit?
a shopkeeper sold an article at $ 1050 and gained a 20 % profit . what was the cost price ?
niall ' s income is 60 % less than rex ' s income , and sam ' s income is 25 % less than niall ' s income . if rex gave 60 % of his income to sam and 40 % of his income to niall , niall ' s new income would be what fraction of sam ' s new income ?
[ { "content": "niall ' s income is 60 % less than rex ' s income , and sam ' s income is 25 % less than niall ' s income . if rex gave 60 % of his income to sam and 40 % of his income to niall , niall ' s new income would be what fraction of sam ' s new income ?", "role": "user" }, { "content": "What fraction of sam ' s new income would niall ' s new income be if rex gave 60 % of his income to sam and 40 % to niall ?", "role": "assistant" } ]
What fraction of sam ' s new income would niall ' s new income be if rex gave 60 % of his income to sam and 40 % to niall ?
niall ' s income is 60 % less than rex ' s income , and sam ' s income is 25 % less than niall ' s income . if rex gave 60 % of his income to sam and 40 % of his income to niall , niall ' s new income would be what fraction of sam ' s new income ?
if 2 a = 4 b = 10 , then 40 ab =
[ { "content": "if 2 a = 4 b = 10 , then 40 ab =", "role": "user" }, { "content": "If 2a = 4b = 10, then 40ab = ?", "role": "assistant" } ]
If 2a = 4b = 10, then 40ab = ?
if 2 a = 4 b = 10 , then 40 ab =
rahim bought 52 books for rs . 1200 from one shop and 32 books for rs . 480 from another . what is the average price he paid per book ?
[ { "content": "rahim bought 52 books for rs . 1200 from one shop and 32 books for rs . 480 from another . what is the average price he paid per book ?", "role": "user" }, { "content": "What was the average cost per book that Rahim paid after buying 52 books for Rs. 1200 and 32 books for Rs. 480?", "role": "assistant" } ]
What was the average cost per book that Rahim paid after buying 52 books for Rs. 1200 and 32 books for Rs. 480?
rahim bought 52 books for rs . 1200 from one shop and 32 books for rs . 480 from another . what is the average price he paid per book ?
a rower whose speed is 4 km / hr in still water rows to a certain point upstream and back to the starting point in a river which flows at 2 km / hr . what is the rower ' s average speed ( in km / hr ) for the total journey ?
[ { "content": "a rower whose speed is 4 km / hr in still water rows to a certain point upstream and back to the starting point in a river which flows at 2 km / hr . what is the rower ' s average speed ( in km / hr ) for the total journey ?", "role": "user" }, { "content": "What is the rower's average speed, in km/hr, for the entire round trip in a river with a 2 km/hr current, given the rower's speed in still water is 4 km/hr?", "role": "assistant" } ]
What is the rower's average speed, in km/hr, for the entire round trip in a river with a 2 km/hr current, given the rower's speed in still water is 4 km/hr?
a rower whose speed is 4 km / hr in still water rows to a certain point upstream and back to the starting point in a river which flows at 2 km / hr . what is the rower ' s average speed ( in km / hr ) for the total journey ?
if 2 ^ 5 , 4 ^ 3 , and 13 ^ 2 are all factors of the product of 936 and w where w is a positive integer , what is the smallest possible value of w ?
[ { "content": "if 2 ^ 5 , 4 ^ 3 , and 13 ^ 2 are all factors of the product of 936 and w where w is a positive integer , what is the smallest possible value of w ?", "role": "user" }, { "content": "What is the smallest possible value of the positive integer w such that 2^5, 4^3, and 13^2 are all factors of 936w ?", "role": "assistant" } ]
What is the smallest possible value of the positive integer w such that 2^5, 4^3, and 13^2 are all factors of 936w ?
if 2 ^ 5 , 4 ^ 3 , and 13 ^ 2 are all factors of the product of 936 and w where w is a positive integer , what is the smallest possible value of w ?
if 3 < x < 6 < y < 11 , then what is the greatest possible positive integer difference of x and y ?
[ { "content": "if 3 < x < 6 < y < 11 , then what is the greatest possible positive integer difference of x and y ?", "role": "user" }, { "content": "What is the largest possible positive integer difference between x and y if 3 < x < 6 < y < 11 ?", "role": "assistant" } ]
What is the largest possible positive integer difference between x and y if 3 < x < 6 < y < 11 ?
if 3 < x < 6 < y < 11 , then what is the greatest possible positive integer difference of x and y ?
chris age after 20 years will be 5 times his age 5 years back . what is the present age of chris ?
[ { "content": "chris age after 20 years will be 5 times his age 5 years back . what is the present age of chris ?", "role": "user" }, { "content": "What is Chris's current age if in 20 years it will be five times his age five years ago?", "role": "assistant" } ]
What is Chris's current age if in 20 years it will be five times his age five years ago?
chris age after 20 years will be 5 times his age 5 years back . what is the present age of chris ?
if x is an integer and 2.134 × 10 ^ x is less than 2 , 200,000 , what is the greatest possible value for x ?
[ { "content": "if x is an integer and 2.134 × 10 ^ x is less than 2 , 200,000 , what is the greatest possible value for x ?", "role": "user" }, { "content": "What is the largest integer value of x for which 2.134 × 10^x is less than 2,200,000?", "role": "assistant" } ]
What is the largest integer value of x for which 2.134 × 10^x is less than 2,200,000?
if x is an integer and 2.134 × 10 ^ x is less than 2 , 200,000 , what is the greatest possible value for x ?
the cross - section of a cannel is a trapezium in shape . if the cannel is 15 m wide at the top and 9 m wide at the bottom and the area of cross - section is 636 sq m , the depth of cannel is ?
[ { "content": "the cross - section of a cannel is a trapezium in shape . if the cannel is 15 m wide at the top and 9 m wide at the bottom and the area of cross - section is 636 sq m , the depth of cannel is ?", "role": "user" }, { "content": "What is the depth of the canal, given its cross-section is a trapezium, 15m wide at the top, 9m wide at the bottom, and an area of 636 sq m?", "role": "assistant" } ]
What is the depth of the canal, given its cross-section is a trapezium, 15m wide at the top, 9m wide at the bottom, and an area of 636 sq m?
the cross - section of a cannel is a trapezium in shape . if the cannel is 15 m wide at the top and 9 m wide at the bottom and the area of cross - section is 636 sq m , the depth of cannel is ?
a train passes a station platform in 36 sec and a man standing on the platform in 24 sec . if the speed of the train is 54 km / hr . what is the length of the platform ?
[ { "content": "a train passes a station platform in 36 sec and a man standing on the platform in 24 sec . if the speed of the train is 54 km / hr . what is the length of the platform ?", "role": "user" }, { "content": "What is the platform's length if a train passes the platform in 36 seconds and a man on the platform in 24 seconds at 54 km/hr?", "role": "assistant" } ]
What is the platform's length if a train passes the platform in 36 seconds and a man on the platform in 24 seconds at 54 km/hr?
a train passes a station platform in 36 sec and a man standing on the platform in 24 sec . if the speed of the train is 54 km / hr . what is the length of the platform ?
the weight of a glass of jar is 30 % of the weight of the jar filled with coffee beans . after some of the beans have been removed , the weight of the jar and the remaining beans is 60 % of the original total weight . what fraction part of the beans remain in the jar ?
[ { "content": "the weight of a glass of jar is 30 % of the weight of the jar filled with coffee beans . after some of the beans have been removed , the weight of the jar and the remaining beans is 60 % of the original total weight . what fraction part of the beans remain in the jar ?", "role": "user" }, { "content": "What fraction of the coffee beans are left in the jar after some have been removed?", "role": "assistant" } ]
What fraction of the coffee beans are left in the jar after some have been removed?
the weight of a glass of jar is 30 % of the weight of the jar filled with coffee beans . after some of the beans have been removed , the weight of the jar and the remaining beans is 60 % of the original total weight . what fraction part of the beans remain in the jar ?
what will be the fraction of 12.5 %
[ { "content": "what will be the fraction of 12.5 %", "role": "user" }, { "content": "What is the fraction for 12.5 percent?", "role": "assistant" } ]
What is the fraction for 12.5 percent?
what will be the fraction of 12.5 %
a number increased by 15 % gives 1150 . the number is
[ { "content": "a number increased by 15 % gives 1150 . the number is", "role": "user" }, { "content": "The number is 1000.", "role": "assistant" } ]
The number is 1000.
a number increased by 15 % gives 1150 . the number is
a train running at a speed of 36 kmph crosses an electric pole in 12 seconds . in how much time will it cross a 390 m long platform ?
[ { "content": "a train running at a speed of 36 kmph crosses an electric pole in 12 seconds . in how much time will it cross a 390 m long platform ?", "role": "user" }, { "content": "A train traveling 36 km/h, crossing an electric pole in 12 seconds, how long will it take to cross a 390m platform?", "role": "assistant" } ]
A train traveling 36 km/h, crossing an electric pole in 12 seconds, how long will it take to cross a 390m platform?
a train running at a speed of 36 kmph crosses an electric pole in 12 seconds . in how much time will it cross a 390 m long platform ?
the average of 7 numbers is 23 . if each number be multiplied by 5 . find the average of new set of numbers ?
[ { "content": "the average of 7 numbers is 23 . if each number be multiplied by 5 . find the average of new set of numbers ?", "role": "user" }, { "content": "If each of the 7 numbers is multiplied by 5, what is the new average of the resulting set of numbers?", "role": "assistant" } ]
If each of the 7 numbers is multiplied by 5, what is the new average of the resulting set of numbers?
the average of 7 numbers is 23 . if each number be multiplied by 5 . find the average of new set of numbers ?
if taxi fares were $ 3.00 for the first 1 / 5 mile and $ 0.20 for each 1 / 5 mile there after , then the taxi fare for a 4 - mile ride was
[ { "content": "if taxi fares were $ 3.00 for the first 1 / 5 mile and $ 0.20 for each 1 / 5 mile there after , then the taxi fare for a 4 - mile ride was", "role": "user" }, { "content": "If the initial taxi fare was $3.00 for the first 1/5 mile and $0.20 for each additional 1/5 mile, what would be the total fare for a 4-mile ride?", "role": "assistant" } ]
If the initial taxi fare was $3.00 for the first 1/5 mile and $0.20 for each additional 1/5 mile, what would be the total fare for a 4-mile ride?
if taxi fares were $ 3.00 for the first 1 / 5 mile and $ 0.20 for each 1 / 5 mile there after , then the taxi fare for a 4 - mile ride was
if 8 men or 12 women can do a piece of work in 35 days , in how many days can the same work be done by 6 men and 11 women ?
[ { "content": "if 8 men or 12 women can do a piece of work in 35 days , in how many days can the same work be done by 6 men and 11 women ?", "role": "user" }, { "content": "How many days will it take for 6 men and 11 women to complete the work if 8 men or 12 women can do it in 35 days?", "role": "assistant" } ]
How many days will it take for 6 men and 11 women to complete the work if 8 men or 12 women can do it in 35 days?
if 8 men or 12 women can do a piece of work in 35 days , in how many days can the same work be done by 6 men and 11 women ?
the total age of a and b is 18 years more than the total age of b and c . c is how many year younger than
[ { "content": "the total age of a and b is 18 years more than the total age of b and c . c is how many year younger than", "role": "user" }, { "content": "c is how many years younger than a", "role": "assistant" } ]
c is how many years younger than a
the total age of a and b is 18 years more than the total age of b and c . c is how many year younger than
one pump drains one - half of a pond in 1 hours , and then a second pump starts draining the pond . the two pumps working together finish emptying the pond in one - half hour . how long would it take the second pump to drain the pond if it had to do the job alone ?
[ { "content": "one pump drains one - half of a pond in 1 hours , and then a second pump starts draining the pond . the two pumps working together finish emptying the pond in one - half hour . how long would it take the second pump to drain the pond if it had to do the job alone ?", "role": "user" }, { "content": "If the first pump can drain half the pond in one hour, and the two pumps together can empty the entire pond in half an hour, how long would it take the second pump to drain the pond by itself?", "role": "assistant" } ]
If the first pump can drain half the pond in one hour, and the two pumps together can empty the entire pond in half an hour, how long would it take the second pump to drain the pond by itself?
one pump drains one - half of a pond in 1 hours , and then a second pump starts draining the pond . the two pumps working together finish emptying the pond in one - half hour . how long would it take the second pump to drain the pond if it had to do the job alone ?
the greatest number which on dividing 1657 and 2037 leaves remainders 9 and 5 respectively , is :
[ { "content": "the greatest number which on dividing 1657 and 2037 leaves remainders 9 and 5 respectively , is :", "role": "user" }, { "content": "What is the greatest number that, when 1657 and 2037 are divided by it, leaves remainders of 9 and 5, respectively?", "role": "assistant" } ]
What is the greatest number that, when 1657 and 2037 are divided by it, leaves remainders of 9 and 5, respectively?
the greatest number which on dividing 1657 and 2037 leaves remainders 9 and 5 respectively , is :
a rectangular farm has to be fenced one long side , one short side and the diagonal . if the cost of fencing is rs . 10 per meter . the area of farm is 1200 m 2 and the short side is 30 m long . how much would the job cost ?
[ { "content": "a rectangular farm has to be fenced one long side , one short side and the diagonal . if the cost of fencing is rs . 10 per meter . the area of farm is 1200 m 2 and the short side is 30 m long . how much would the job cost ?", "role": "user" }, { "content": "What would be the total cost of fencing a rectangular farm with an area of 1200 m², a short side of 30 m, and fencing along one long side, one short side, and the diagonal at Rs. 10 per meter?", "role": "assistant" } ]
What would be the total cost of fencing a rectangular farm with an area of 1200 m², a short side of 30 m, and fencing along one long side, one short side, and the diagonal at Rs. 10 per meter?
a rectangular farm has to be fenced one long side , one short side and the diagonal . if the cost of fencing is rs . 10 per meter . the area of farm is 1200 m 2 and the short side is 30 m long . how much would the job cost ?
the length of a rectangle is 2 times its width . if the width of the rectangle is 4 inches , what is the rectangle ' s area , in square inches ?
[ { "content": "the length of a rectangle is 2 times its width . if the width of the rectangle is 4 inches , what is the rectangle ' s area , in square inches ?", "role": "user" }, { "content": "If a rectangle's width is 4 inches and its length is twice that, what is the area of the rectangle in square inches?", "role": "assistant" } ]
If a rectangle's width is 4 inches and its length is twice that, what is the area of the rectangle in square inches?
the length of a rectangle is 2 times its width . if the width of the rectangle is 4 inches , what is the rectangle ' s area , in square inches ?
the ratio between the sale price and the cost price of an article is 7 : 4 . what is the ratio between the profit and the cost price of that article ?
[ { "content": "the ratio between the sale price and the cost price of an article is 7 : 4 . what is the ratio between the profit and the cost price of that article ?", "role": "user" }, { "content": "If the sale price to cost price ratio of an item is 7:4, what is the profit to cost price ratio of that item?", "role": "assistant" } ]
If the sale price to cost price ratio of an item is 7:4, what is the profit to cost price ratio of that item?
the ratio between the sale price and the cost price of an article is 7 : 4 . what is the ratio between the profit and the cost price of that article ?
barbata invests $ 2400 in the national bank at 5 % . how much additional money must she invest at 8 % so that the total annual income will be equal to 6 % of her entire investment ?
[ { "content": "barbata invests $ 2400 in the national bank at 5 % . how much additional money must she invest at 8 % so that the total annual income will be equal to 6 % of her entire investment ?", "role": "user" }, { "content": "What additional amount must Barbata invest at 8% to make her total annual income equal to 6% of her entire investment, having already invested $2400 at 5% in the national bank?", "role": "assistant" } ]
What additional amount must Barbata invest at 8% to make her total annual income equal to 6% of her entire investment, having already invested $2400 at 5% in the national bank?
barbata invests $ 2400 in the national bank at 5 % . how much additional money must she invest at 8 % so that the total annual income will be equal to 6 % of her entire investment ?
if a speaks the truth 30 % of the times , b speaks the truth 40 % of the times . what is the probability that at least one will tell the truth
[ { "content": "if a speaks the truth 30 % of the times , b speaks the truth 40 % of the times . what is the probability that at least one will tell the truth", "role": "user" }, { "content": "If A is truthful 30% of the time and B is truthful 40% of the time, what's the likelihood that at least one of them will be honest?", "role": "assistant" } ]
If A is truthful 30% of the time and B is truthful 40% of the time, what's the likelihood that at least one of them will be honest?
if a speaks the truth 30 % of the times , b speaks the truth 40 % of the times . what is the probability that at least one will tell the truth
a certain farmer pays $ 30 per acre per month to rent farmland . how much does the farmer pay per month to rent a rectangular plot of farmland that is 370 feet by 605 feet ? ( 43,560 square feet = 1 acre )
[ { "content": "a certain farmer pays $ 30 per acre per month to rent farmland . how much does the farmer pay per month to rent a rectangular plot of farmland that is 370 feet by 605 feet ? ( 43,560 square feet = 1 acre )", "role": "user" }, { "content": "What is the monthly rental cost for a 370 x 605 foot rectangular plot of farmland, given that the farmer pays $30 per acre and 1 acre is equivalent to 43,560 square feet?", "role": "assistant" } ]
What is the monthly rental cost for a 370 x 605 foot rectangular plot of farmland, given that the farmer pays $30 per acre and 1 acre is equivalent to 43,560 square feet?
a certain farmer pays $ 30 per acre per month to rent farmland . how much does the farmer pay per month to rent a rectangular plot of farmland that is 370 feet by 605 feet ? ( 43,560 square feet = 1 acre )
difference between a two - digit number and the number obtained by interchanging the two digits is 36 , what is the difference between two numbers
[ { "content": "difference between a two - digit number and the number obtained by interchanging the two digits is 36 , what is the difference between two numbers", "role": "user" }, { "content": "When the digits of a two-digit number are swapped, the difference is 36; what's the difference between the original and new numbers?", "role": "assistant" } ]
When the digits of a two-digit number are swapped, the difference is 36; what's the difference between the original and new numbers?
difference between a two - digit number and the number obtained by interchanging the two digits is 36 , what is the difference between two numbers
the average score of a cricketer in 6 matches is 27 and in other 4 matches is 32 . then find the average score in all the 10 matches ?
[ { "content": "the average score of a cricketer in 6 matches is 27 and in other 4 matches is 32 . then find the average score in all the 10 matches ?", "role": "user" }, { "content": "What is the average score of the cricketer in all 10 matches, given that the average score in 6 matches is 27 and in the remaining 4 matches is 32?", "role": "assistant" } ]
What is the average score of the cricketer in all 10 matches, given that the average score in 6 matches is 27 and in the remaining 4 matches is 32?
the average score of a cricketer in 6 matches is 27 and in other 4 matches is 32 . then find the average score in all the 10 matches ?
rs . 900 amounts to rs . 920 in 3 years at simple interest . if the interest is increased by 3 % , it would amount to how much ?
[ { "content": "rs . 900 amounts to rs . 920 in 3 years at simple interest . if the interest is increased by 3 % , it would amount to how much ?", "role": "user" }, { "content": "If the interest rate is increased by 3%, what will be the new amount after 3 years, given that Rs. 900 becomes Rs. 920 at the original simple interest rate?", "role": "assistant" } ]
If the interest rate is increased by 3%, what will be the new amount after 3 years, given that Rs. 900 becomes Rs. 920 at the original simple interest rate?
rs . 900 amounts to rs . 920 in 3 years at simple interest . if the interest is increased by 3 % , it would amount to how much ?
the average expenditure of a labourer for 10 months was 85 and he fell into debt . in the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30 . his monthly income is
[ { "content": "the average expenditure of a labourer for 10 months was 85 and he fell into debt . in the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30 . his monthly income is", "role": "user" }, { "content": "the average monthly expenditure of a labourer for 10 months was 85 and he fell into debt . in the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30 . what is his monthly income", "role": "assistant" } ]
the average monthly expenditure of a labourer for 10 months was 85 and he fell into debt . in the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30 . what is his monthly income
the average expenditure of a labourer for 10 months was 85 and he fell into debt . in the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30 . his monthly income is
a store has 10 bottles of juice , including 5 bottles of apple juice . in the evening , 6 bottles of juice are sold one by one . what is the probability of selling 3 bottles of apple juice among the 6 bottles ? assume that every bottle has an equal chance of being bought .
[ { "content": "a store has 10 bottles of juice , including 5 bottles of apple juice . in the evening , 6 bottles of juice are sold one by one . what is the probability of selling 3 bottles of apple juice among the 6 bottles ? assume that every bottle has an equal chance of being bought .", "role": "user" }, { "content": "What's the likelihood of selling 3 out of 5 apple juice bottles when 6 out of 10 juice bottles are sold, given that each bottle has an equal chance of being purchased?", "role": "assistant" } ]
What's the likelihood of selling 3 out of 5 apple juice bottles when 6 out of 10 juice bottles are sold, given that each bottle has an equal chance of being purchased?
a store has 10 bottles of juice , including 5 bottles of apple juice . in the evening , 6 bottles of juice are sold one by one . what is the probability of selling 3 bottles of apple juice among the 6 bottles ? assume that every bottle has an equal chance of being bought .
a farmer has an apple orchard consisting of fuji and gala apple trees . due to high winds this year 10 % of his trees cross pollinated . the number of his trees that are pure fuji plus the cross - pollinated ones totals 136 , while 3 / 4 of all his trees are pure fuji . how many of his trees are pure gala ?
[ { "content": "a farmer has an apple orchard consisting of fuji and gala apple trees . due to high winds this year 10 % of his trees cross pollinated . the number of his trees that are pure fuji plus the cross - pollinated ones totals 136 , while 3 / 4 of all his trees are pure fuji . how many of his trees are pure gala ?", "role": "user" }, { "content": "Here is a paraphrased version of the text:\n\nA farmer owns an orchard with Fuji and Gala apple trees. Due to strong winds this year, 10% of the trees have been cross-pollinated. The total number of pure Fuji trees and cross-pollinated trees is 136, while 75% of all trees are pure Fuji. How many trees are pure Gala?", "role": "assistant" } ]
Here is a paraphrased version of the text: A farmer owns an orchard with Fuji and Gala apple trees. Due to strong winds this year, 10% of the trees have been cross-pollinated. The total number of pure Fuji trees and cross-pollinated trees is 136, while 75% of all trees are pure Fuji. How many trees are pure Gala?
a farmer has an apple orchard consisting of fuji and gala apple trees . due to high winds this year 10 % of his trees cross pollinated . the number of his trees that are pure fuji plus the cross - pollinated ones totals 136 , while 3 / 4 of all his trees are pure fuji . how many of his trees are pure gala ?
at a monthly meeting , 1 / 3 of the attendees were males and 4 / 5 of the male attendees arrived on time . if 5 / 6 of the female attendees arrived on time , what fraction of the attendees at the monthly meeting did not arrive on time ?
[ { "content": "at a monthly meeting , 1 / 3 of the attendees were males and 4 / 5 of the male attendees arrived on time . if 5 / 6 of the female attendees arrived on time , what fraction of the attendees at the monthly meeting did not arrive on time ?", "role": "user" }, { "content": "At a monthly meeting, one third of the attendees were male and four fifths of the male attendees arrived on time. If five sixths of the female attendees arrived on time, what fraction of the attendees at the monthly meeting failed to arrive on time", "role": "assistant" } ]
At a monthly meeting, one third of the attendees were male and four fifths of the male attendees arrived on time. If five sixths of the female attendees arrived on time, what fraction of the attendees at the monthly meeting failed to arrive on time
at a monthly meeting , 1 / 3 of the attendees were males and 4 / 5 of the male attendees arrived on time . if 5 / 6 of the female attendees arrived on time , what fraction of the attendees at the monthly meeting did not arrive on time ?
a shopkeeper sold an book offering a discount of 5 % and earned a profit of 30 % . what would have been the percentage of profit earned if no discount was offered ?
[ { "content": "a shopkeeper sold an book offering a discount of 5 % and earned a profit of 30 % . what would have been the percentage of profit earned if no discount was offered ?", "role": "user" }, { "content": "If the shopkeeper hadn't offered a 5% discount, what would the percentage of profit have been on the book sale that still yielded a 30% profit after the discount?", "role": "assistant" } ]
If the shopkeeper hadn't offered a 5% discount, what would the percentage of profit have been on the book sale that still yielded a 30% profit after the discount?
a shopkeeper sold an book offering a discount of 5 % and earned a profit of 30 % . what would have been the percentage of profit earned if no discount was offered ?
a company wants to spend equal amounts of money for the purchase of two types of computer printers costing $ 300 and $ 200 per unit , respectively . what is the fewest number of computer printers that the company can purchase ?
[ { "content": "a company wants to spend equal amounts of money for the purchase of two types of computer printers costing $ 300 and $ 200 per unit , respectively . what is the fewest number of computer printers that the company can purchase ?", "role": "user" }, { "content": "What is the smallest number of computer printers the company can buy if they want to spend an equal amount on $300 and $200 models?", "role": "assistant" } ]
What is the smallest number of computer printers the company can buy if they want to spend an equal amount on $300 and $200 models?
a company wants to spend equal amounts of money for the purchase of two types of computer printers costing $ 300 and $ 200 per unit , respectively . what is the fewest number of computer printers that the company can purchase ?
if p is a prime number greater than 3 , find the remainder when p ^ 2 + 14 is divided by 12 .
[ { "content": "if p is a prime number greater than 3 , find the remainder when p ^ 2 + 14 is divided by 12 .", "role": "user" }, { "content": "For a prime number p greater than 3, what is the remainder of (p^2 + 14) divided by 12?", "role": "assistant" } ]
For a prime number p greater than 3, what is the remainder of (p^2 + 14) divided by 12?
if p is a prime number greater than 3 , find the remainder when p ^ 2 + 14 is divided by 12 .
three unbiased coins are tossed . what is the probability of getting 3 heads and 1 tail ?
[ { "content": "three unbiased coins are tossed . what is the probability of getting 3 heads and 1 tail ?", "role": "user" }, { "content": "Three unbiased coins are tossed. What is the probability of getting 1 tail and 3 heads", "role": "assistant" } ]
Three unbiased coins are tossed. What is the probability of getting 1 tail and 3 heads
three unbiased coins are tossed . what is the probability of getting 3 heads and 1 tail ?
find 95 × × 98
[ { "content": "find 95 × × 98", "role": "user" }, { "content": "What is 95 multiplied by 98?", "role": "assistant" } ]
What is 95 multiplied by 98?
find 95 × × 98
5 + 5
[ { "content": "5 + 5", "role": "user" }, { "content": "What is five plus five", "role": "assistant" } ]
What is five plus five
5 + 5
a certain ball team has an equal number of right - and left - handed players . on a certain day , one - third of the players were absent from practice . of the players at practice that day , one - third were right handed . what is the ratio of the number of right - handed players who were not at practice that day to the number of left handed players who were not at practice ?
[ { "content": "a certain ball team has an equal number of right - and left - handed players . on a certain day , one - third of the players were absent from practice . of the players at practice that day , one - third were right handed . what is the ratio of the number of right - handed players who were not at practice that day to the number of left handed players who were not at practice ?", "role": "user" }, { "content": "What is the ratio of right-handed players absent from practice to left-handed players absent from practice that day?", "role": "assistant" } ]
What is the ratio of right-handed players absent from practice to left-handed players absent from practice that day?
a certain ball team has an equal number of right - and left - handed players . on a certain day , one - third of the players were absent from practice . of the players at practice that day , one - third were right handed . what is the ratio of the number of right - handed players who were not at practice that day to the number of left handed players who were not at practice ?
bag a contains red , white and blue marbles such that the red to white marble ratio is 1 : 3 and the white to blue marble ratio is 2 : 3 . bag b contains red and white marbles in the ratio of 1 : 4 . together , the two bags contain 42 white marbles . how many red marbles could be in bag a ?
[ { "content": "bag a contains red , white and blue marbles such that the red to white marble ratio is 1 : 3 and the white to blue marble ratio is 2 : 3 . bag b contains red and white marbles in the ratio of 1 : 4 . together , the two bags contain 42 white marbles . how many red marbles could be in bag a ?", "role": "user" }, { "content": "In bag A, with red to white marbles in a 1:3 ratio and white to blue marbles in a 2:3 ratio, and bag B having red to white marbles in a 1:4 ratio, if the total white marbles in both bags are 42, what is the possible number of red marbles in bag A?", "role": "assistant" } ]
In bag A, with red to white marbles in a 1:3 ratio and white to blue marbles in a 2:3 ratio, and bag B having red to white marbles in a 1:4 ratio, if the total white marbles in both bags are 42, what is the possible number of red marbles in bag A?
bag a contains red , white and blue marbles such that the red to white marble ratio is 1 : 3 and the white to blue marble ratio is 2 : 3 . bag b contains red and white marbles in the ratio of 1 : 4 . together , the two bags contain 42 white marbles . how many red marbles could be in bag a ?
a man has some hens and cows . if the number of heads be 42 and the number of feet equals 124 , then the number of hens will be
[ { "content": "a man has some hens and cows . if the number of heads be 42 and the number of feet equals 124 , then the number of hens will be", "role": "user" }, { "content": "a farmer owns some hens and cows . if the total heads are 42 and the total feet are 124 , then the number of hens is", "role": "assistant" } ]
a farmer owns some hens and cows . if the total heads are 42 and the total feet are 124 , then the number of hens is
a man has some hens and cows . if the number of heads be 42 and the number of feet equals 124 , then the number of hens will be
find large number from below question the difference of two numbers is 1385 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder
[ { "content": "find large number from below question the difference of two numbers is 1385 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder", "role": "user" }, { "content": "Here's a paraphrased version of the given text, preserving the original structure and semantics:\n\nDetermine the larger number from the following information: the difference between two numbers is 1385, and when the larger number is divided by the smaller one, it yields 6 as the quotient and 15 as the remainder.", "role": "assistant" } ]
Here's a paraphrased version of the given text, preserving the original structure and semantics: Determine the larger number from the following information: the difference between two numbers is 1385, and when the larger number is divided by the smaller one, it yields 6 as the quotient and 15 as the remainder.
find large number from below question the difference of two numbers is 1385 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder
the average age of 36 students in a group is 13 years . when teacher ' s age is included to it , the average increases by one . what is the teacher ' s age in years ?
[ { "content": "the average age of 36 students in a group is 13 years . when teacher ' s age is included to it , the average increases by one . what is the teacher ' s age in years ?", "role": "user" }, { "content": "How old is the teacher, given that adding their age to the average age of 36 students (originally 13 years) increases the average by 1 year?", "role": "assistant" } ]
How old is the teacher, given that adding their age to the average age of 36 students (originally 13 years) increases the average by 1 year?
the average age of 36 students in a group is 13 years . when teacher ' s age is included to it , the average increases by one . what is the teacher ' s age in years ?
convert 0.30 in to a vulgar fraction ?
[ { "content": "convert 0.30 in to a vulgar fraction ?", "role": "user" }, { "content": "What is 0.30 as a fraction ?", "role": "assistant" } ]
What is 0.30 as a fraction ?
convert 0.30 in to a vulgar fraction ?
a certain galaxy is known to comprise approximately 5 x 10 ^ 11 stars . of every 50 million of these stars , one is larger in mass than our sun . approximately how many stars in this galaxy are larger than the sun ?
[ { "content": "a certain galaxy is known to comprise approximately 5 x 10 ^ 11 stars . of every 50 million of these stars , one is larger in mass than our sun . approximately how many stars in this galaxy are larger than the sun ?", "role": "user" }, { "content": "In a galaxy containing about 5 x 10 ^ 11 stars , with one star in every 50 million being larger than our sun , what is the approximate number of stars in this galaxy that are larger than the sun ?", "role": "assistant" } ]
In a galaxy containing about 5 x 10 ^ 11 stars , with one star in every 50 million being larger than our sun , what is the approximate number of stars in this galaxy that are larger than the sun ?
a certain galaxy is known to comprise approximately 5 x 10 ^ 11 stars . of every 50 million of these stars , one is larger in mass than our sun . approximately how many stars in this galaxy are larger than the sun ?
a room is 30 m long and 24 m broad . if the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls , the volume of the hall is :
[ { "content": "a room is 30 m long and 24 m broad . if the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls , the volume of the hall is :", "role": "user" }, { "content": "What is the volume of the hall, given that a room is 30m long and 24m broad, and the sum of the areas of the floor and the ceiling equals the sum of the areas of four walls?", "role": "assistant" } ]
What is the volume of the hall, given that a room is 30m long and 24m broad, and the sum of the areas of the floor and the ceiling equals the sum of the areas of four walls?
a room is 30 m long and 24 m broad . if the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls , the volume of the hall is :
if $ 120 invested at a certain rate of simple interest amounts to $ 180 at the end of 3 years , how much will $ 150 amount to at the same rate of interest in 6 years ?
[ { "content": "if $ 120 invested at a certain rate of simple interest amounts to $ 180 at the end of 3 years , how much will $ 150 amount to at the same rate of interest in 6 years ?", "role": "user" }, { "content": "At a certain simple interest rate, a $120 investment grows to $180 in 3 years; what will be the amount of $150 at the same rate in 6 years?", "role": "assistant" } ]
At a certain simple interest rate, a $120 investment grows to $180 in 3 years; what will be the amount of $150 at the same rate in 6 years?
if $ 120 invested at a certain rate of simple interest amounts to $ 180 at the end of 3 years , how much will $ 150 amount to at the same rate of interest in 6 years ?
find the smallest number which should be multiplied with 520 to make it a perfect square
[ { "content": "find the smallest number which should be multiplied with 520 to make it a perfect square", "role": "user" }, { "content": "What is the smallest number that, when multiplied by 520, results in a perfect square?", "role": "assistant" } ]
What is the smallest number that, when multiplied by 520, results in a perfect square?
find the smallest number which should be multiplied with 520 to make it a perfect square
the price of a certain product increased by the same percent from 1960 to 1970 as from 1970 to 1980 . if its price of $ 1.20 in 1970 was 150 percent of its price in 1960 , what was its price in 1980 ?
[ { "content": "the price of a certain product increased by the same percent from 1960 to 1970 as from 1970 to 1980 . if its price of $ 1.20 in 1970 was 150 percent of its price in 1960 , what was its price in 1980 ?", "role": "user" }, { "content": "If a product's price in 1970 was 150% of its price in 1960 and the price rose by the same percentage from 1960 to 1970 as from 1970 to 1980, what was its price in 1980 given its 1970 price was $1.20", "role": "assistant" } ]
If a product's price in 1970 was 150% of its price in 1960 and the price rose by the same percentage from 1960 to 1970 as from 1970 to 1980, what was its price in 1980 given its 1970 price was $1.20
the price of a certain product increased by the same percent from 1960 to 1970 as from 1970 to 1980 . if its price of $ 1.20 in 1970 was 150 percent of its price in 1960 , what was its price in 1980 ?
a is two years older than b who is twice as old as c . if the total of the ages of a , b and c be 37 , the how old is b ?
[ { "content": "a is two years older than b who is twice as old as c . if the total of the ages of a , b and c be 37 , the how old is b ?", "role": "user" }, { "content": "What is b's age if a is two years older than b, who is twice as old as c, and their combined ages total 37?", "role": "assistant" } ]
What is b's age if a is two years older than b, who is twice as old as c, and their combined ages total 37?
a is two years older than b who is twice as old as c . if the total of the ages of a , b and c be 37 , the how old is b ?
if c and t are positive integers , ct + c + t can not be
[ { "content": "if c and t are positive integers , ct + c + t can not be", "role": "user" }, { "content": "If c and t are positive integers, then ct + c + t cannot be", "role": "assistant" } ]
If c and t are positive integers, then ct + c + t cannot be
if c and t are positive integers , ct + c + t can not be
the area of a circular field is 17.56 hectares . find the cost of fencing it at the rate of rs . 2 per metre approximately
[ { "content": "the area of a circular field is 17.56 hectares . find the cost of fencing it at the rate of rs . 2 per metre approximately", "role": "user" }, { "content": "What is the approximate cost of fencing a circular field with an area of 17.56 hectares at a rate of Rs. 2 per meter?", "role": "assistant" } ]
What is the approximate cost of fencing a circular field with an area of 17.56 hectares at a rate of Rs. 2 per meter?
the area of a circular field is 17.56 hectares . find the cost of fencing it at the rate of rs . 2 per metre approximately
a man swims downstream 30 km and upstream 12 km taking 3 hours each time , what is the speed of the man in still water ?
[ { "content": "a man swims downstream 30 km and upstream 12 km taking 3 hours each time , what is the speed of the man in still water ?", "role": "user" }, { "content": "What is the man's speed in still water, given that he swims 30 km downstream and 12 km upstream, both taking 3 hours?", "role": "assistant" } ]
What is the man's speed in still water, given that he swims 30 km downstream and 12 km upstream, both taking 3 hours?
a man swims downstream 30 km and upstream 12 km taking 3 hours each time , what is the speed of the man in still water ?
a trained covered x km at 40 kmph and another 2 x km at 20 kmph . find the average speed of the train in covering the entire 7 x km .
[ { "content": "a trained covered x km at 40 kmph and another 2 x km at 20 kmph . find the average speed of the train in covering the entire 7 x km .", "role": "user" }, { "content": "What is the average speed of the train that traveled x km at 40 kmph and 2x km at 20 kmph over a total distance of 7x km?", "role": "assistant" } ]
What is the average speed of the train that traveled x km at 40 kmph and 2x km at 20 kmph over a total distance of 7x km?
a trained covered x km at 40 kmph and another 2 x km at 20 kmph . find the average speed of the train in covering the entire 7 x km .
if the average of 6 digits is 16 and the average of 4 of them is 10 , calculate the average of the remaining 2 numbers ?
[ { "content": "if the average of 6 digits is 16 and the average of 4 of them is 10 , calculate the average of the remaining 2 numbers ?", "role": "user" }, { "content": "What is the average of the 2 remaining numbers if the average of 6 digits is 16 and the average of 4 of them is 10?", "role": "assistant" } ]
What is the average of the 2 remaining numbers if the average of 6 digits is 16 and the average of 4 of them is 10?
if the average of 6 digits is 16 and the average of 4 of them is 10 , calculate the average of the remaining 2 numbers ?