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find the value of 72519 x 9999 = y ?
|
[
{
"content": "find the value of 72519 x 9999 = y ?",
"role": "user"
},
{
"content": "What is the product of 72519 and 9999?",
"role": "assistant"
}
] |
What is the product of 72519 and 9999?
|
find the value of 72519 x 9999 = y ?
|
a bag contains 12 red marbles . if someone were to remove 2 marbles from the bag , one at a time , and replace the first marble after it was removed , the probability that neither marble would be red is 49 / 64 . how many marbles are in the bag ?
|
[
{
"content": "a bag contains 12 red marbles . if someone were to remove 2 marbles from the bag , one at a time , and replace the first marble after it was removed , the probability that neither marble would be red is 49 / 64 . how many marbles are in the bag ?",
"role": "user"
},
{
"content": "A bag has 12 red marbles. If 2 marbles are removed and replaced one at a time, the chance that neither is red is 49/64. How many marbles are in the bag?",
"role": "assistant"
}
] |
A bag has 12 red marbles. If 2 marbles are removed and replaced one at a time, the chance that neither is red is 49/64. How many marbles are in the bag?
|
a bag contains 12 red marbles . if someone were to remove 2 marbles from the bag , one at a time , and replace the first marble after it was removed , the probability that neither marble would be red is 49 / 64 . how many marbles are in the bag ?
|
average of 15 results is 43 . if the average of first 7 results is 41 and average of last 7 results is 45 then find the eighth result ?
|
[
{
"content": "average of 15 results is 43 . if the average of first 7 results is 41 and average of last 7 results is 45 then find the eighth result ?",
"role": "user"
},
{
"content": "To find the eighth result, given the average of 15 results is 43, the average of the first 7 results is 41, and the average of the last 7 results is 45.",
"role": "assistant"
}
] |
To find the eighth result, given the average of 15 results is 43, the average of the first 7 results is 41, and the average of the last 7 results is 45.
|
average of 15 results is 43 . if the average of first 7 results is 41 and average of last 7 results is 45 then find the eighth result ?
|
the difference between the compound interest compounded annually and simple interest for 2 years at 20 % per annum is rs . 432 . find the principal ?
|
[
{
"content": "the difference between the compound interest compounded annually and simple interest for 2 years at 20 % per annum is rs . 432 . find the principal ?",
"role": "user"
},
{
"content": "What is the principal if the difference between 2-year compound interest (compounded annually) and simple interest at a 20% annual rate is Rs. 432?",
"role": "assistant"
}
] |
What is the principal if the difference between 2-year compound interest (compounded annually) and simple interest at a 20% annual rate is Rs. 432?
|
the difference between the compound interest compounded annually and simple interest for 2 years at 20 % per annum is rs . 432 . find the principal ?
|
a sprinter starts running on a circular path of radius r metres . her average speed ( in metres / minute ) is Ο r during the first 30 seconds , Ο r / 2 during next one minute , Ο r / 4 during next 2 minutes , Ο r / 8 during next 4 minutes , and so on . what is the ratio of the time taken for the nth round to that for the previous round ?
|
[
{
"content": "a sprinter starts running on a circular path of radius r metres . her average speed ( in metres / minute ) is Ο r during the first 30 seconds , Ο r / 2 during next one minute , Ο r / 4 during next 2 minutes , Ο r / 8 during next 4 minutes , and so on . what is the ratio of the time taken for the nth round to that for the previous round ?",
"role": "user"
},
{
"content": "What is the ratio of the time taken for the nth lap to that for the (n-1)th lap",
"role": "assistant"
}
] |
What is the ratio of the time taken for the nth lap to that for the (n-1)th lap
|
a sprinter starts running on a circular path of radius r metres . her average speed ( in metres / minute ) is Ο r during the first 30 seconds , Ο r / 2 during next one minute , Ο r / 4 during next 2 minutes , Ο r / 8 during next 4 minutes , and so on . what is the ratio of the time taken for the nth round to that for the previous round ?
|
. a car covers a distance of 1028 km in 4 hours . find its speed ?
|
[
{
"content": ". a car covers a distance of 1028 km in 4 hours . find its speed ?",
"role": "user"
},
{
"content": "What is the speed of the car that covers 1028 km in 4 hours?",
"role": "assistant"
}
] |
What is the speed of the car that covers 1028 km in 4 hours?
|
. a car covers a distance of 1028 km in 4 hours . find its speed ?
|
the cost price of a radio is rs . 2550 and it was sold for rs . 2130 , find the loss % ?
|
[
{
"content": "the cost price of a radio is rs . 2550 and it was sold for rs . 2130 , find the loss % ?",
"role": "user"
},
{
"content": "What is the percentage loss on a radio that was sold for Rs. 2130 after being bought for Rs. 2550?",
"role": "assistant"
}
] |
What is the percentage loss on a radio that was sold for Rs. 2130 after being bought for Rs. 2550?
|
the cost price of a radio is rs . 2550 and it was sold for rs . 2130 , find the loss % ?
|
if x * y = xy β 2 ( x + y ) for all integers x and y , then 4 * ( β 3 ) =
|
[
{
"content": "if x * y = xy β 2 ( x + y ) for all integers x and y , then 4 * ( β 3 ) =",
"role": "user"
},
{
"content": "If x * y = xy - 2(x + y) for all integers x and y, then 4 * (-3) =",
"role": "assistant"
}
] |
If x * y = xy - 2(x + y) for all integers x and y, then 4 * (-3) =
|
if x * y = xy β 2 ( x + y ) for all integers x and y , then 4 * ( β 3 ) =
|
the weight of a hollow sphere is directly dependent on its surface area . the surface area of a sphere is 4 Ο Β· r ^ 2 , where r is the radius of the sphere . if a hollow sphere of radius 0.15 cm made of a certain metal weighs 8 grams , a hollow sphere of radius 0.3 cm made of the same metal would weigh how many grams t ?
|
[
{
"content": "the weight of a hollow sphere is directly dependent on its surface area . the surface area of a sphere is 4 Ο Β· r ^ 2 , where r is the radius of the sphere . if a hollow sphere of radius 0.15 cm made of a certain metal weighs 8 grams , a hollow sphere of radius 0.3 cm made of the same metal would weigh how many grams t ?",
"role": "user"
},
{
"content": "What would be the weight in grams of a hollow sphere made of the same metal with a radius of 0.3 cm",
"role": "assistant"
}
] |
What would be the weight in grams of a hollow sphere made of the same metal with a radius of 0.3 cm
|
the weight of a hollow sphere is directly dependent on its surface area . the surface area of a sphere is 4 Ο Β· r ^ 2 , where r is the radius of the sphere . if a hollow sphere of radius 0.15 cm made of a certain metal weighs 8 grams , a hollow sphere of radius 0.3 cm made of the same metal would weigh how many grams t ?
|
an enterprising businessman earns an income of re 5 on the first day of his business . on every subsequent day , he earns an income which is just thrice of that made on the previous day . on the 10 th day of business , he earns an income of :
|
[
{
"content": "an enterprising businessman earns an income of re 5 on the first day of his business . on every subsequent day , he earns an income which is just thrice of that made on the previous day . on the 10 th day of business , he earns an income of :",
"role": "user"
},
{
"content": "On the tenth day of business, what is the income earned by an enterprising businessman who earns 5 rupees on the first day and triples his income every subsequent day?",
"role": "assistant"
}
] |
On the tenth day of business, what is the income earned by an enterprising businessman who earns 5 rupees on the first day and triples his income every subsequent day?
|
an enterprising businessman earns an income of re 5 on the first day of his business . on every subsequent day , he earns an income which is just thrice of that made on the previous day . on the 10 th day of business , he earns an income of :
|
a student chose a number , multiplied it by 3 , then subtracted 138 from the result and got 102 . what was the number he chose ?
|
[
{
"content": "a student chose a number , multiplied it by 3 , then subtracted 138 from the result and got 102 . what was the number he chose ?",
"role": "user"
},
{
"content": "What number did the student select that when tripled and then reduced by 138 equals 102?",
"role": "assistant"
}
] |
What number did the student select that when tripled and then reduced by 138 equals 102?
|
a student chose a number , multiplied it by 3 , then subtracted 138 from the result and got 102 . what was the number he chose ?
|
two goods train each 500 m long , are running in opposite directions on parallel tracks . their speeds are 45 km / hr and 30 km / hr respectively find the time taken by the slower train to pass the driver of the faster one .
|
[
{
"content": "two goods train each 500 m long , are running in opposite directions on parallel tracks . their speeds are 45 km / hr and 30 km / hr respectively find the time taken by the slower train to pass the driver of the faster one .",
"role": "user"
},
{
"content": "Two 500-meter long goods trains are moving in opposite directions on parallel tracks at speeds of 45 km/hr and 30 km/hr. What is the time it takes for the slower train to pass the driver of the faster train?",
"role": "assistant"
}
] |
Two 500-meter long goods trains are moving in opposite directions on parallel tracks at speeds of 45 km/hr and 30 km/hr. What is the time it takes for the slower train to pass the driver of the faster train?
|
two goods train each 500 m long , are running in opposite directions on parallel tracks . their speeds are 45 km / hr and 30 km / hr respectively find the time taken by the slower train to pass the driver of the faster one .
|
the population of a village is 14300 . it increases annually at the rate of 15 % p . a . what will be its population after 2 years ?
|
[
{
"content": "the population of a village is 14300 . it increases annually at the rate of 15 % p . a . what will be its population after 2 years ?",
"role": "user"
},
{
"content": "With an annual growth rate of 15%, what will the village's population be after two years, starting from 14300 residents?",
"role": "assistant"
}
] |
With an annual growth rate of 15%, what will the village's population be after two years, starting from 14300 residents?
|
the population of a village is 14300 . it increases annually at the rate of 15 % p . a . what will be its population after 2 years ?
|
what is the sum of all possible solutions to | x - 3 | ^ 2 + | x - 3 | = 20 ?
|
[
{
"content": "what is the sum of all possible solutions to | x - 3 | ^ 2 + | x - 3 | = 20 ?",
"role": "user"
},
{
"content": "What is the sum of all possible values of x that satisfy the equation | x - 3 | ^ 2 + | x - 3 | = 20 ?",
"role": "assistant"
}
] |
What is the sum of all possible values of x that satisfy the equation | x - 3 | ^ 2 + | x - 3 | = 20 ?
|
what is the sum of all possible solutions to | x - 3 | ^ 2 + | x - 3 | = 20 ?
|
if x / 5 + 9 / x = 14 / 5 , what are the values of 3 x - 7 ?
|
[
{
"content": "if x / 5 + 9 / x = 14 / 5 , what are the values of 3 x - 7 ?",
"role": "user"
},
{
"content": "Given x / 5 + 9 / x = 14 / 5, what are the values of 3 x - 7?",
"role": "assistant"
}
] |
Given x / 5 + 9 / x = 14 / 5, what are the values of 3 x - 7?
|
if x / 5 + 9 / x = 14 / 5 , what are the values of 3 x - 7 ?
|
two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively . if they cross each other in 23 seconds , what is the ratio of their speeds ?
|
[
{
"content": "two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively . if they cross each other in 23 seconds , what is the ratio of their speeds ?",
"role": "user"
},
{
"content": "What is the ratio of the speeds of two trains that cross a man in 27 and 17 seconds respectively, and each other in 23 seconds?",
"role": "assistant"
}
] |
What is the ratio of the speeds of two trains that cross a man in 27 and 17 seconds respectively, and each other in 23 seconds?
|
two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively . if they cross each other in 23 seconds , what is the ratio of their speeds ?
|
a closed cylindrical tank contains 36 pie cubic feet of water and its filled to half its capacity . when the tank is placed upright on its circular base on level ground , the height of water in the tank is 4 feet . when the tank is placed on its side on level ground , what is the height , in feet , of the surface of the water above the ground ?
|
[
{
"content": "a closed cylindrical tank contains 36 pie cubic feet of water and its filled to half its capacity . when the tank is placed upright on its circular base on level ground , the height of water in the tank is 4 feet . when the tank is placed on its side on level ground , what is the height , in feet , of the surface of the water above the ground ?",
"role": "user"
},
{
"content": "When the tank is laid on its side on level ground, what is the height, in feet, of the water surface above the ground?",
"role": "assistant"
}
] |
When the tank is laid on its side on level ground, what is the height, in feet, of the water surface above the ground?
|
a closed cylindrical tank contains 36 pie cubic feet of water and its filled to half its capacity . when the tank is placed upright on its circular base on level ground , the height of water in the tank is 4 feet . when the tank is placed on its side on level ground , what is the height , in feet , of the surface of the water above the ground ?
|
the ratio of two speeds of two trains is 3 to 4 . if each of the trains slows its speed 5 km / hr , what will be the ratio of these two train speeds ?
|
[
{
"content": "the ratio of two speeds of two trains is 3 to 4 . if each of the trains slows its speed 5 km / hr , what will be the ratio of these two train speeds ?",
"role": "user"
},
{
"content": "If two trains are traveling at speeds in a 3 to 4 ratio and each reduces its speed by 5 km/hr, what will the new ratio of their speeds be?",
"role": "assistant"
}
] |
If two trains are traveling at speeds in a 3 to 4 ratio and each reduces its speed by 5 km/hr, what will the new ratio of their speeds be?
|
the ratio of two speeds of two trains is 3 to 4 . if each of the trains slows its speed 5 km / hr , what will be the ratio of these two train speeds ?
|
shopkeeper rise price by 33 % and gives successive discount of 10 % and 15 % . what is overall % gain or loss ?
|
[
{
"content": "shopkeeper rise price by 33 % and gives successive discount of 10 % and 15 % . what is overall % gain or loss ?",
"role": "user"
},
{
"content": "A shopkeeper raises the price by 33% and then offers consecutive discounts of 10% and 15%. What is the overall percentage gain or loss?",
"role": "assistant"
}
] |
A shopkeeper raises the price by 33% and then offers consecutive discounts of 10% and 15%. What is the overall percentage gain or loss?
|
shopkeeper rise price by 33 % and gives successive discount of 10 % and 15 % . what is overall % gain or loss ?
|
in a certain pet shop , the ratio of dogs to cats to bunnies in stock is 3 : 7 : 13 . if the shop carries 352 dogs and bunnies total in stock , how many dogs are there ?
|
[
{
"content": "in a certain pet shop , the ratio of dogs to cats to bunnies in stock is 3 : 7 : 13 . if the shop carries 352 dogs and bunnies total in stock , how many dogs are there ?",
"role": "user"
},
{
"content": "In a particular pet store, the dog to cat to bunny ratio is 3:7:13. If there are 352 dogs and bunnies combined, what is the number of dogs?",
"role": "assistant"
}
] |
In a particular pet store, the dog to cat to bunny ratio is 3:7:13. If there are 352 dogs and bunnies combined, what is the number of dogs?
|
in a certain pet shop , the ratio of dogs to cats to bunnies in stock is 3 : 7 : 13 . if the shop carries 352 dogs and bunnies total in stock , how many dogs are there ?
|
a box contain the number of balls which is as much times greater than 15 as much times lesser than 240 . the no . of ball is ?
|
[
{
"content": "a box contain the number of balls which is as much times greater than 15 as much times lesser than 240 . the no . of ball is ?",
"role": "user"
},
{
"content": "What is the number of balls in the box, which is the same multiple greater than 15 as it is less than 240?",
"role": "assistant"
}
] |
What is the number of balls in the box, which is the same multiple greater than 15 as it is less than 240?
|
a box contain the number of balls which is as much times greater than 15 as much times lesser than 240 . the no . of ball is ?
|
when the price of an article was reduced by 25 % its sale increased by 80 % . what was the net effect on the sale ?
|
[
{
"content": "when the price of an article was reduced by 25 % its sale increased by 80 % . what was the net effect on the sale ?",
"role": "user"
},
{
"content": "What was the overall impact on the sale when the article's price was reduced by 25% and its sale increased by 80%?",
"role": "assistant"
}
] |
What was the overall impact on the sale when the article's price was reduced by 25% and its sale increased by 80%?
|
when the price of an article was reduced by 25 % its sale increased by 80 % . what was the net effect on the sale ?
|
5 years ago , the average age of a and b was 15 years . average age of a , b and c today is 20 years . how old will c be after 14 years ?
|
[
{
"content": "5 years ago , the average age of a and b was 15 years . average age of a , b and c today is 20 years . how old will c be after 14 years ?",
"role": "user"
},
{
"content": "What will be c's age 14 years from now?",
"role": "assistant"
}
] |
What will be c's age 14 years from now?
|
5 years ago , the average age of a and b was 15 years . average age of a , b and c today is 20 years . how old will c be after 14 years ?
|
one fourth of a solution that was 10 % sugar by weight was replaced with by a second solution resulting in a solution that was 16 percent sugar by weight . the second solution was what percent sugar by weight ?
|
[
{
"content": "one fourth of a solution that was 10 % sugar by weight was replaced with by a second solution resulting in a solution that was 16 percent sugar by weight . the second solution was what percent sugar by weight ?",
"role": "user"
},
{
"content": "What percentage of sugar by weight was in the second solution that was used to replace one fourth of the original 10% sugar solution, resulting in a 16% sugar solution?",
"role": "assistant"
}
] |
What percentage of sugar by weight was in the second solution that was used to replace one fourth of the original 10% sugar solution, resulting in a 16% sugar solution?
|
one fourth of a solution that was 10 % sugar by weight was replaced with by a second solution resulting in a solution that was 16 percent sugar by weight . the second solution was what percent sugar by weight ?
|
from a pack of cards , two cards are drawn one after the other , with replacement . what is the probability that the first card is a black card and the second card is a king or queen ?
|
[
{
"content": "from a pack of cards , two cards are drawn one after the other , with replacement . what is the probability that the first card is a black card and the second card is a king or queen ?",
"role": "user"
},
{
"content": "What's the likelihood of drawing a black card first and then a king or queen, with replacement, from a deck of cards?",
"role": "assistant"
}
] |
What's the likelihood of drawing a black card first and then a king or queen, with replacement, from a deck of cards?
|
from a pack of cards , two cards are drawn one after the other , with replacement . what is the probability that the first card is a black card and the second card is a king or queen ?
|
a man whose bowling average is 22.2 , takes 4 wickets for 36 runs and thereby decreases his average by 1.2 . the number of wickets , taken by him before his last match is :
|
[
{
"content": "a man whose bowling average is 22.2 , takes 4 wickets for 36 runs and thereby decreases his average by 1.2 . the number of wickets , taken by him before his last match is :",
"role": "user"
},
{
"content": "a man with a bowling average of 22.2 takes 4 wickets for 36 runs and decreases his average by 1.2 . what was his previous number of wickets",
"role": "assistant"
}
] |
a man with a bowling average of 22.2 takes 4 wickets for 36 runs and decreases his average by 1.2 . what was his previous number of wickets
|
a man whose bowling average is 22.2 , takes 4 wickets for 36 runs and thereby decreases his average by 1.2 . the number of wickets , taken by him before his last match is :
|
a can give b 100 meters start and c 120 meters start in a kilometer race . how much start can b give c in a kilometer race ?
|
[
{
"content": "a can give b 100 meters start and c 120 meters start in a kilometer race . how much start can b give c in a kilometer race ?",
"role": "user"
},
{
"content": "In a kilometer race, if a gives b a 100-meter head start and c a 120-meter head start, what head start can b give c?",
"role": "assistant"
}
] |
In a kilometer race, if a gives b a 100-meter head start and c a 120-meter head start, what head start can b give c?
|
a can give b 100 meters start and c 120 meters start in a kilometer race . how much start can b give c in a kilometer race ?
|
a train 450 metres long is moving at a speed of 25 kmph . it will cross a man coming from the opposite direction at a speed of 2 km per hour in :
|
[
{
"content": "a train 450 metres long is moving at a speed of 25 kmph . it will cross a man coming from the opposite direction at a speed of 2 km per hour in :",
"role": "user"
},
{
"content": "A 450-metre-long train is moving at 25 km/h. How long will it take to pass a man approaching from the opposite direction at 2 km/h?",
"role": "assistant"
}
] |
A 450-metre-long train is moving at 25 km/h. How long will it take to pass a man approaching from the opposite direction at 2 km/h?
|
a train 450 metres long is moving at a speed of 25 kmph . it will cross a man coming from the opposite direction at a speed of 2 km per hour in :
|
a rectangular with dimensions 35 inches by 45 inches is to be divided into squares of equal size . which of the following could be a length of a side of the squares ?
|
[
{
"content": "a rectangular with dimensions 35 inches by 45 inches is to be divided into squares of equal size . which of the following could be a length of a side of the squares ?",
"role": "user"
},
{
"content": "What could be the side length of the squares that a 35 by 45 inch rectangle is divided into ?",
"role": "assistant"
}
] |
What could be the side length of the squares that a 35 by 45 inch rectangle is divided into ?
|
a rectangular with dimensions 35 inches by 45 inches is to be divided into squares of equal size . which of the following could be a length of a side of the squares ?
|
find the greatest number which leaves the same remainder when it divides 25 , 50 and 120 .
|
[
{
"content": "find the greatest number which leaves the same remainder when it divides 25 , 50 and 120 .",
"role": "user"
},
{
"content": "What is the largest number that leaves the same remainder when dividing 25, 50, and 120?",
"role": "assistant"
}
] |
What is the largest number that leaves the same remainder when dividing 25, 50, and 120?
|
find the greatest number which leaves the same remainder when it divides 25 , 50 and 120 .
|
o ( x ) represents the least odd integer greater than x , whereas o ( x ) represents the greatest odd integer less than x . likewise , e ( x ) represents the least even integer greater than x , whereas e ( x ) represents the greatest even integer less than x . according to these definitions , the value of o ( 11.6 ) + e ( β 10.4 ) + o ( β 9.2 ) + e ( 9.5 ) is :
|
[
{
"content": "o ( x ) represents the least odd integer greater than x , whereas o ( x ) represents the greatest odd integer less than x . likewise , e ( x ) represents the least even integer greater than x , whereas e ( x ) represents the greatest even integer less than x . according to these definitions , the value of o ( 11.6 ) + e ( β 10.4 ) + o ( β 9.2 ) + e ( 9.5 ) is :",
"role": "user"
},
{
"content": "What is the value of o ( 11.6 ) + e ( β 10.4 ) + o ( β 9.2 ) + e ( 9.5 ) , where o ( x ) is the least odd integer greater than x , o ( x ) is the greatest odd integer less than x , e ( x ) is the least even integer greater than x , and e ( x ) is the greatest even integer less than x ?",
"role": "assistant"
}
] |
What is the value of o ( 11.6 ) + e ( β 10.4 ) + o ( β 9.2 ) + e ( 9.5 ) , where o ( x ) is the least odd integer greater than x , o ( x ) is the greatest odd integer less than x , e ( x ) is the least even integer greater than x , and e ( x ) is the greatest even integer less than x ?
|
o ( x ) represents the least odd integer greater than x , whereas o ( x ) represents the greatest odd integer less than x . likewise , e ( x ) represents the least even integer greater than x , whereas e ( x ) represents the greatest even integer less than x . according to these definitions , the value of o ( 11.6 ) + e ( β 10.4 ) + o ( β 9.2 ) + e ( 9.5 ) is :
|
what is the smallest positive integer k such that the product of 2205 x k is a perfect square ?
|
[
{
"content": "what is the smallest positive integer k such that the product of 2205 x k is a perfect square ?",
"role": "user"
},
{
"content": "What is the least positive integer k for which 2205 * k is a perfect square?",
"role": "assistant"
}
] |
What is the least positive integer k for which 2205 * k is a perfect square?
|
what is the smallest positive integer k such that the product of 2205 x k is a perfect square ?
|
the function f ( p ) represents the number of ways that prime numbers can be uniquely summed to form a certain number p such that p = a + b + c + d β¦ where those summed variables are each prime and a β€ b β€ c β€ d . . . for instance f ( 8 ) = 3 and the unique ways are 2 + 2 + 2 + 2 and 2 + 3 + 3 and 3 + 5 . what is f ( 12 ) ?
|
[
{
"content": "the function f ( p ) represents the number of ways that prime numbers can be uniquely summed to form a certain number p such that p = a + b + c + d β¦ where those summed variables are each prime and a β€ b β€ c β€ d . . . for instance f ( 8 ) = 3 and the unique ways are 2 + 2 + 2 + 2 and 2 + 3 + 3 and 3 + 5 . what is f ( 12 ) ?",
"role": "user"
},
{
"content": "How many distinct combinations of prime numbers can sum up to 12, where each combination is arranged in ascending order?",
"role": "assistant"
}
] |
How many distinct combinations of prime numbers can sum up to 12, where each combination is arranged in ascending order?
|
the function f ( p ) represents the number of ways that prime numbers can be uniquely summed to form a certain number p such that p = a + b + c + d β¦ where those summed variables are each prime and a β€ b β€ c β€ d . . . for instance f ( 8 ) = 3 and the unique ways are 2 + 2 + 2 + 2 and 2 + 3 + 3 and 3 + 5 . what is f ( 12 ) ?
|
in what time will a train 175 m long cross an electric pole , it its speed be 144 km / hr ?
|
[
{
"content": "in what time will a train 175 m long cross an electric pole , it its speed be 144 km / hr ?",
"role": "user"
},
{
"content": "How long will it take for a 175m long train to pass an electric pole at a speed of 144 km/hr?",
"role": "assistant"
}
] |
How long will it take for a 175m long train to pass an electric pole at a speed of 144 km/hr?
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in what time will a train 175 m long cross an electric pole , it its speed be 144 km / hr ?
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a student chose a number , multiplied it by 5 , then subtracted 275 from the result and got 135 . what was the number he chose ?
|
[
{
"content": "a student chose a number , multiplied it by 5 , then subtracted 275 from the result and got 135 . what was the number he chose ?",
"role": "user"
},
{
"content": "What was the original number the student selected before multiplying it by 5 and then subtracting 275 to get 135 ?",
"role": "assistant"
}
] |
What was the original number the student selected before multiplying it by 5 and then subtracting 275 to get 135 ?
|
a student chose a number , multiplied it by 5 , then subtracted 275 from the result and got 135 . what was the number he chose ?
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in a can , there is a mixture of milk and water in the ratio 3 : 2 . if the can is filled with an additional 6 liters of milk , the can would be full and the ratio of milk and water would become 2 : 1 . find the capacity of the can ?
|
[
{
"content": "in a can , there is a mixture of milk and water in the ratio 3 : 2 . if the can is filled with an additional 6 liters of milk , the can would be full and the ratio of milk and water would become 2 : 1 . find the capacity of the can ?",
"role": "user"
},
{
"content": "What is the capacity of the can if it contains a 3:2 milk-to-water ratio initially, and adding 6 liters of milk achieves a 2:1 ratio and fills the can?",
"role": "assistant"
}
] |
What is the capacity of the can if it contains a 3:2 milk-to-water ratio initially, and adding 6 liters of milk achieves a 2:1 ratio and fills the can?
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in a can , there is a mixture of milk and water in the ratio 3 : 2 . if the can is filled with an additional 6 liters of milk , the can would be full and the ratio of milk and water would become 2 : 1 . find the capacity of the can ?
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susan drives from city a to city b . after two hours of driving she noticed that she covered 80 km and calculated that , if she continued driving at the same speed , she would end up been 15 minutes late . so she increased her speed by 10 km / hr and she arrived at city b 36 minutes earlier than she planned . find the distance between cities a and b .
|
[
{
"content": "susan drives from city a to city b . after two hours of driving she noticed that she covered 80 km and calculated that , if she continued driving at the same speed , she would end up been 15 minutes late . so she increased her speed by 10 km / hr and she arrived at city b 36 minutes earlier than she planned . find the distance between cities a and b .",
"role": "user"
},
{
"content": "What is the distance between city A and city B if Susan drove for 2 hours at an initial speed, covered 80 km, calculated she'd be 15 minutes late at that speed, increased it by 10 km/hr, and arrived 36 minutes earlier than planned.",
"role": "assistant"
}
] |
What is the distance between city A and city B if Susan drove for 2 hours at an initial speed, covered 80 km, calculated she'd be 15 minutes late at that speed, increased it by 10 km/hr, and arrived 36 minutes earlier than planned.
|
susan drives from city a to city b . after two hours of driving she noticed that she covered 80 km and calculated that , if she continued driving at the same speed , she would end up been 15 minutes late . so she increased her speed by 10 km / hr and she arrived at city b 36 minutes earlier than she planned . find the distance between cities a and b .
|
a train running at the speed of 40 km / hr crosses a pole in 9 sec . what is the length of the train ?
|
[
{
"content": "a train running at the speed of 40 km / hr crosses a pole in 9 sec . what is the length of the train ?",
"role": "user"
},
{
"content": "What is the length of the train traveling at 40 km/hr that passes a pole in 9 seconds?",
"role": "assistant"
}
] |
What is the length of the train traveling at 40 km/hr that passes a pole in 9 seconds?
|
a train running at the speed of 40 km / hr crosses a pole in 9 sec . what is the length of the train ?
|
what is the remainder if 7 ^ 16 is divided by 100 ?
|
[
{
"content": "what is the remainder if 7 ^ 16 is divided by 100 ?",
"role": "user"
},
{
"content": "What is the remainder of 7 to the power of 16 divided by 100 ?",
"role": "assistant"
}
] |
What is the remainder of 7 to the power of 16 divided by 100 ?
|
what is the remainder if 7 ^ 16 is divided by 100 ?
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a large box contains 17 small boxes and each small box contains 25 chocolate bars . how many chocolate bars are in the large box ?
|
[
{
"content": "a large box contains 17 small boxes and each small box contains 25 chocolate bars . how many chocolate bars are in the large box ?",
"role": "user"
},
{
"content": "What is the total number of chocolate bars in the large box that contains 17 small boxes, with each small box holding 25 chocolate bars?",
"role": "assistant"
}
] |
What is the total number of chocolate bars in the large box that contains 17 small boxes, with each small box holding 25 chocolate bars?
|
a large box contains 17 small boxes and each small box contains 25 chocolate bars . how many chocolate bars are in the large box ?
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what is the product of all the possible values of x if x ^ 2 + 5 x + 6 ?
|
[
{
"content": "what is the product of all the possible values of x if x ^ 2 + 5 x + 6 ?",
"role": "user"
},
{
"content": "What is the product of all possible solutions for x in the equation x^2 + 5x + 6?",
"role": "assistant"
}
] |
What is the product of all possible solutions for x in the equation x^2 + 5x + 6?
|
what is the product of all the possible values of x if x ^ 2 + 5 x + 6 ?
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jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 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 6 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 that the ratio of US to Indian stamps is 6:2 and the ratio of Indian to British stamps is 5:1?",
"role": "assistant"
}
] |
What is the ratio of US to British stamps in Jo's collection, given that the ratio of US to Indian stamps is 6:2 and the ratio of Indian to British stamps is 5:1?
|
jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
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a man walking at a constant rate of 9 miles per hour is passed by a woman traveling in the same direction along the same path at a constant rate of 15 miles per hour . the woman stops to wait for the man 3 minutes after passing him , while the man continues to walk at his constant rate . how many minutes must the woman wait until the man catches up ?
|
[
{
"content": "a man walking at a constant rate of 9 miles per hour is passed by a woman traveling in the same direction along the same path at a constant rate of 15 miles per hour . the woman stops to wait for the man 3 minutes after passing him , while the man continues to walk at his constant rate . how many minutes must the woman wait until the man catches up ?",
"role": "user"
},
{
"content": "A man is overtaken by a woman as she travels the same route at a constant speed of 15 miles per hour while he walks at a constant speed of 9 miles per hour. The woman stops 3 minutes later to wait for the man while he continues to walk at his constant rate. How many more minutes will it take for the man to catch up with the woman?",
"role": "assistant"
}
] |
A man is overtaken by a woman as she travels the same route at a constant speed of 15 miles per hour while he walks at a constant speed of 9 miles per hour. The woman stops 3 minutes later to wait for the man while he continues to walk at his constant rate. How many more minutes will it take for the man to catch up with the woman?
|
a man walking at a constant rate of 9 miles per hour is passed by a woman traveling in the same direction along the same path at a constant rate of 15 miles per hour . the woman stops to wait for the man 3 minutes after passing him , while the man continues to walk at his constant rate . how many minutes must the woman wait until the man catches up ?
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in a certain state , the ratio of registered republicans to registered democrats is 3 to 2 , and every registered voter is either a republican or a democrat . if 80 percent of the republicans and 20 percent of the democrats are expected to vote for candidate x , and everyone else is expected to vote for candidate y , by what percent is candidate x expected to win the election ?
|
[
{
"content": "in a certain state , the ratio of registered republicans to registered democrats is 3 to 2 , and every registered voter is either a republican or a democrat . if 80 percent of the republicans and 20 percent of the democrats are expected to vote for candidate x , and everyone else is expected to vote for candidate y , by what percent is candidate x expected to win the election ?",
"role": "user"
},
{
"content": "In a particular state, where the registered Republicans outnumber Democrats 3:2 and all voters are affiliated with one of these parties, if 80% of Republicans and 20% of Democrats are expected to vote for Candidate X while the rest will vote for Candidate Y, what is the expected margin of victory for Candidate X?",
"role": "assistant"
}
] |
In a particular state, where the registered Republicans outnumber Democrats 3:2 and all voters are affiliated with one of these parties, if 80% of Republicans and 20% of Democrats are expected to vote for Candidate X while the rest will vote for Candidate Y, what is the expected margin of victory for Candidate X?
|
in a certain state , the ratio of registered republicans to registered democrats is 3 to 2 , and every registered voter is either a republican or a democrat . if 80 percent of the republicans and 20 percent of the democrats are expected to vote for candidate x , and everyone else is expected to vote for candidate y , by what percent is candidate x expected to win the election ?
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a school has received 50 % of the amount it needs for a new building by receiving a donation of $ 400 each from people already solicited . people already solicited represent 40 % of the people from whom the school will solicit donations . how much average contribution is requited from the remaining targeted people to complete the fund raising exercise ?
|
[
{
"content": "a school has received 50 % of the amount it needs for a new building by receiving a donation of $ 400 each from people already solicited . people already solicited represent 40 % of the people from whom the school will solicit donations . how much average contribution is requited from the remaining targeted people to complete the fund raising exercise ?",
"role": "user"
},
{
"content": "What average donation is needed from the remaining 60% of targeted donors to meet the school's fundraising goal?",
"role": "assistant"
}
] |
What average donation is needed from the remaining 60% of targeted donors to meet the school's fundraising goal?
|
a school has received 50 % of the amount it needs for a new building by receiving a donation of $ 400 each from people already solicited . people already solicited represent 40 % of the people from whom the school will solicit donations . how much average contribution is requited from the remaining targeted people to complete the fund raising exercise ?
|
the sides of a square region , measured to the nearest centimeter , are 10 centimeters long . the least possible value of the actual area of the square region is
|
[
{
"content": "the sides of a square region , measured to the nearest centimeter , are 10 centimeters long . the least possible value of the actual area of the square region is",
"role": "user"
},
{
"content": "The sides of a square , rounded to the nearest centimeter , are 10 centimeters . What is the smallest possible actual area of the square ?",
"role": "assistant"
}
] |
The sides of a square , rounded to the nearest centimeter , are 10 centimeters . What is the smallest possible actual area of the square ?
|
the sides of a square region , measured to the nearest centimeter , are 10 centimeters long . the least possible value of the actual area of the square region is
|
p software has coding line 5 % more than n , n software has coding line 1 / 2 more than m . m software has 100 lines of coding . find p lines .
|
[
{
"content": "p software has coding line 5 % more than n , n software has coding line 1 / 2 more than m . m software has 100 lines of coding . find p lines .",
"role": "user"
},
{
"content": "p software has 5% more coding lines than n, n software has half more coding lines than m. m software has 100 coding lines. Find p lines.\n\nHere's a paraphrased version:\n\np has 5% more lines of code than n, and n has 50% more lines than m. Given m has 100 lines, what is the number of lines in p?",
"role": "assistant"
}
] |
p software has 5% more coding lines than n, n software has half more coding lines than m. m software has 100 coding lines. Find p lines.
Here's a paraphrased version:
p has 5% more lines of code than n, and n has 50% more lines than m. Given m has 100 lines, what is the number of lines in p?
|
p software has coding line 5 % more than n , n software has coding line 1 / 2 more than m . m software has 100 lines of coding . find p lines .
|
in a garden , there are 10 rows and 15 columns of mango trees . the distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden . the length of the garden is
|
[
{
"content": "in a garden , there are 10 rows and 15 columns of mango trees . the distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden . the length of the garden is",
"role": "user"
},
{
"content": "in a garden , there are 10 rows and 15 columns of mango trees . the distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden . the length of the garden is",
"role": "assistant"
}
] |
in a garden , there are 10 rows and 15 columns of mango trees . the distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden . the length of the garden is
|
in a garden , there are 10 rows and 15 columns of mango trees . the distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden . the length of the garden is
|
if tim had lunch at $ 50.50 and he gave 10 % tip , how much did he spend ?
|
[
{
"content": "if tim had lunch at $ 50.50 and he gave 10 % tip , how much did he spend ?",
"role": "user"
},
{
"content": "What was the total cost for Tim after adding a 10% tip to his $50.50 lunch?",
"role": "assistant"
}
] |
What was the total cost for Tim after adding a 10% tip to his $50.50 lunch?
|
if tim had lunch at $ 50.50 and he gave 10 % tip , how much did he spend ?
|
a 240 meter long train running at the speed of 120 kmph crosses another train running in the opposite direction at the speed of 80 kmph in 9 seconds . what is the lenght of other train .
|
[
{
"content": "a 240 meter long train running at the speed of 120 kmph crosses another train running in the opposite direction at the speed of 80 kmph in 9 seconds . what is the lenght of other train .",
"role": "user"
},
{
"content": "A 240-meter-long train traveling at 120 km/h crosses another train moving in the opposite direction at 80 km/h in 9 seconds; what is the length of the other train?",
"role": "assistant"
}
] |
A 240-meter-long train traveling at 120 km/h crosses another train moving in the opposite direction at 80 km/h in 9 seconds; what is the length of the other train?
|
a 240 meter long train running at the speed of 120 kmph crosses another train running in the opposite direction at the speed of 80 kmph in 9 seconds . what is the lenght of other train .
|
company a imported 12,000 widgets made of either brass or aluminum . the widgets are painted blue , red or green . if 10 percent of the widgets are made of brass and of those 20 percent are painted green and 40 percent are painted red how many brass widgets painted blue were imported ?
|
[
{
"content": "company a imported 12,000 widgets made of either brass or aluminum . the widgets are painted blue , red or green . if 10 percent of the widgets are made of brass and of those 20 percent are painted green and 40 percent are painted red how many brass widgets painted blue were imported ?",
"role": "user"
},
{
"content": "Here is a paraphrased version of the text, preserving the original structure and semantics:\n\nCompany A imported 12,000 widgets made of either brass or aluminum. The widgets come in blue, red, or green. If 10% of the widgets are brass, with 20% of those being green and 40% being red, how many blue brass widgets were imported?",
"role": "assistant"
}
] |
Here is a paraphrased version of the text, preserving the original structure and semantics:
Company A imported 12,000 widgets made of either brass or aluminum. The widgets come in blue, red, or green. If 10% of the widgets are brass, with 20% of those being green and 40% being red, how many blue brass widgets were imported?
|
company a imported 12,000 widgets made of either brass or aluminum . the widgets are painted blue , red or green . if 10 percent of the widgets are made of brass and of those 20 percent are painted green and 40 percent are painted red how many brass widgets painted blue were imported ?
|
mr . das decided to walk down the escalator of a mall . he found that if he walks down 26 steps , he requires 30 seconds to reach the bottom . however , if he steps down 34 stair she would only require 18 seconds to get to the bottom . if the time is measured from the moment the top step begins to descend to the time he steps off the last step at the bottom , find out the height of the stair way insteps ?
|
[
{
"content": "mr . das decided to walk down the escalator of a mall . he found that if he walks down 26 steps , he requires 30 seconds to reach the bottom . however , if he steps down 34 stair she would only require 18 seconds to get to the bottom . if the time is measured from the moment the top step begins to descend to the time he steps off the last step at the bottom , find out the height of the stair way insteps ?",
"role": "user"
},
{
"content": "Here's a paraphrased version of the text:\n\nMr. Das chose to walk down the mall escalator. He discovered that walking 26 steps took 30 seconds to reach the bottom. In contrast, taking 34 steps allowed him to reach the bottom in just 18 seconds. What is the total number of steps in the staircase, measured from the top step's descent to stepping off the last step at the bottom?",
"role": "assistant"
}
] |
Here's a paraphrased version of the text:
Mr. Das chose to walk down the mall escalator. He discovered that walking 26 steps took 30 seconds to reach the bottom. In contrast, taking 34 steps allowed him to reach the bottom in just 18 seconds. What is the total number of steps in the staircase, measured from the top step's descent to stepping off the last step at the bottom?
|
mr . das decided to walk down the escalator of a mall . he found that if he walks down 26 steps , he requires 30 seconds to reach the bottom . however , if he steps down 34 stair she would only require 18 seconds to get to the bottom . if the time is measured from the moment the top step begins to descend to the time he steps off the last step at the bottom , find out the height of the stair way insteps ?
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solution x is 30 % chemical a and 70 % chemical b by volume . solution y is 40 % chemical a and 60 % chemical b by volume . if a mixture of x and y is 36 % chemical a , what percent of the mixture is solution x ?
|
[
{
"content": "solution x is 30 % chemical a and 70 % chemical b by volume . solution y is 40 % chemical a and 60 % chemical b by volume . if a mixture of x and y is 36 % chemical a , what percent of the mixture is solution x ?",
"role": "user"
},
{
"content": "What percentage of the mixture is solution x if it is composed of 36% chemical a.",
"role": "assistant"
}
] |
What percentage of the mixture is solution x if it is composed of 36% chemical a.
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solution x is 30 % chemical a and 70 % chemical b by volume . solution y is 40 % chemical a and 60 % chemical b by volume . if a mixture of x and y is 36 % chemical a , what percent of the mixture is solution x ?
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jim β s taxi service charges an initial fee of $ 2.45 at the beginning of a trip and an additional charge of $ 0.35 for each 2 / 5 of a mile traveled . what is the total charge for a trip of 3.6 miles ?
|
[
{
"content": "jim β s taxi service charges an initial fee of $ 2.45 at the beginning of a trip and an additional charge of $ 0.35 for each 2 / 5 of a mile traveled . what is the total charge for a trip of 3.6 miles ?",
"role": "user"
},
{
"content": "What is the total cost for a 3.6-mile trip with Jim's taxi service, which starts at $2.45 and adds $0.35 for every 2/5 mile traveled?",
"role": "assistant"
}
] |
What is the total cost for a 3.6-mile trip with Jim's taxi service, which starts at $2.45 and adds $0.35 for every 2/5 mile traveled?
|
jim β s taxi service charges an initial fee of $ 2.45 at the beginning of a trip and an additional charge of $ 0.35 for each 2 / 5 of a mile traveled . what is the total charge for a trip of 3.6 miles ?
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a bowl contains equal numbers of red , orange , green , blue , and yellow candies . kaz eats all of the green candies and half of the orange ones . next , he eats half of the remaining pieces of each color . finally , he eats red and yellow candies in equal proportions until the total number of remaining candies of all colors equals 24 % of the original number . what percent of the red candies remain ?
|
[
{
"content": "a bowl contains equal numbers of red , orange , green , blue , and yellow candies . kaz eats all of the green candies and half of the orange ones . next , he eats half of the remaining pieces of each color . finally , he eats red and yellow candies in equal proportions until the total number of remaining candies of all colors equals 24 % of the original number . what percent of the red candies remain ?",
"role": "user"
},
{
"content": "What percentage of the red candies are left after Kaz's eating spree?",
"role": "assistant"
}
] |
What percentage of the red candies are left after Kaz's eating spree?
|
a bowl contains equal numbers of red , orange , green , blue , and yellow candies . kaz eats all of the green candies and half of the orange ones . next , he eats half of the remaining pieces of each color . finally , he eats red and yellow candies in equal proportions until the total number of remaining candies of all colors equals 24 % of the original number . what percent of the red candies remain ?
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on selling 9 balls at rs . 720 , there is a loss equal to the cost price of 5 balls . the cost price of a ball is :
|
[
{
"content": "on selling 9 balls at rs . 720 , there is a loss equal to the cost price of 5 balls . the cost price of a ball is :",
"role": "user"
},
{
"content": "What is the cost price of a ball when selling 9 balls at Rs. 720 results in a loss equivalent to the cost price of 5 balls?",
"role": "assistant"
}
] |
What is the cost price of a ball when selling 9 balls at Rs. 720 results in a loss equivalent to the cost price of 5 balls?
|
on selling 9 balls at rs . 720 , there is a loss equal to the cost price of 5 balls . the cost price of a ball is :
|
boy sells a book for rs . 630 he gets a loss of 10 % , to gain 10 % , what should be the sp ?
|
[
{
"content": "boy sells a book for rs . 630 he gets a loss of 10 % , to gain 10 % , what should be the sp ?",
"role": "user"
},
{
"content": "To gain a 10% profit, what should be the selling price if a boy sells a book for Rs. 630 and incurs a 10% loss?",
"role": "assistant"
}
] |
To gain a 10% profit, what should be the selling price if a boy sells a book for Rs. 630 and incurs a 10% loss?
|
boy sells a book for rs . 630 he gets a loss of 10 % , to gain 10 % , what should be the sp ?
|
a and b can do a piece of work in 11 days . with the help of c they finish the work in 5 days . c alone can do that piece of work in ?
|
[
{
"content": "a and b can do a piece of work in 11 days . with the help of c they finish the work in 5 days . c alone can do that piece of work in ?",
"role": "user"
},
{
"content": "How many days will c alone take to complete the work?",
"role": "assistant"
}
] |
How many days will c alone take to complete the work?
|
a and b can do a piece of work in 11 days . with the help of c they finish the work in 5 days . c alone can do that piece of work in ?
|
a train 310 meters long is running with a speed of 60 kmph . in what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ?
|
[
{
"content": "a train 310 meters long is running with a speed of 60 kmph . in what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ?",
"role": "user"
},
{
"content": "How long will it take for a 310-meter train traveling at 60 kmph to pass a man running at 6 kmph in the opposite direction.",
"role": "assistant"
}
] |
How long will it take for a 310-meter train traveling at 60 kmph to pass a man running at 6 kmph in the opposite direction.
|
a train 310 meters long is running with a speed of 60 kmph . in what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ?
|
how many odd factors does 210 have ?
|
[
{
"content": "how many odd factors does 210 have ?",
"role": "user"
},
{
"content": "What is the number of odd factors of 210 ?",
"role": "assistant"
}
] |
What is the number of odd factors of 210 ?
|
how many odd factors does 210 have ?
|
sarah operated her lemonade stand monday through friday over a two week period and made a total profit of 350 dollars . on hot days she sold cups of lemonade for a price that was 25 percent higher than the regular days . each cup she sold had a total cost of 75 cents and sarah did not incur any other costs . if every day she sold exactly 32 cups and 3 of the days were hot , then what was the price of 1 cup on a hot day ?
|
[
{
"content": "sarah operated her lemonade stand monday through friday over a two week period and made a total profit of 350 dollars . on hot days she sold cups of lemonade for a price that was 25 percent higher than the regular days . each cup she sold had a total cost of 75 cents and sarah did not incur any other costs . if every day she sold exactly 32 cups and 3 of the days were hot , then what was the price of 1 cup on a hot day ?",
"role": "user"
},
{
"content": "What was the price of a cup of lemonade on a hot day, given that Sarah sold 32 cups daily over a two-week period, with 3 of those days being hot, and her total profit was $350, while each cup cost 75 cents and hot-day prices were 25% higher than regular days?",
"role": "assistant"
}
] |
What was the price of a cup of lemonade on a hot day, given that Sarah sold 32 cups daily over a two-week period, with 3 of those days being hot, and her total profit was $350, while each cup cost 75 cents and hot-day prices were 25% higher than regular days?
|
sarah operated her lemonade stand monday through friday over a two week period and made a total profit of 350 dollars . on hot days she sold cups of lemonade for a price that was 25 percent higher than the regular days . each cup she sold had a total cost of 75 cents and sarah did not incur any other costs . if every day she sold exactly 32 cups and 3 of the days were hot , then what was the price of 1 cup on a hot day ?
|
what is the greatest prime factor of 2 ^ 8 - 1 ?
|
[
{
"content": "what is the greatest prime factor of 2 ^ 8 - 1 ?",
"role": "user"
},
{
"content": "What is the largest prime factor of 2 to the power of 8 minus 1?",
"role": "assistant"
}
] |
What is the largest prime factor of 2 to the power of 8 minus 1?
|
what is the greatest prime factor of 2 ^ 8 - 1 ?
|
if x , y , and z are positive integers and 2 x = 3 y = 4 z , then the least possible value of x + y + z is
|
[
{
"content": "if x , y , and z are positive integers and 2 x = 3 y = 4 z , then the least possible value of x + y + z is",
"role": "user"
},
{
"content": "What is the least possible value of x + y + z if 2x = 3y = 4z, given that x, y, and z are positive integers?",
"role": "assistant"
}
] |
What is the least possible value of x + y + z if 2x = 3y = 4z, given that x, y, and z are positive integers?
|
if x , y , and z are positive integers and 2 x = 3 y = 4 z , then the least possible value of x + y + z is
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right triangle abc is to be drawn in the xy - plane so that the right angle is at a and ab is parallel to the y - axis . if the x - and y - coordinates of a , b , and c are to be integers that are consistent with the inequalities - 7 β€ x β€ 1 and 4 β€ y β€ 9 , then how many different triangles can be drawn that will meet these conditions ?
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[
{
"content": "right triangle abc is to be drawn in the xy - plane so that the right angle is at a and ab is parallel to the y - axis . if the x - and y - coordinates of a , b , and c are to be integers that are consistent with the inequalities - 7 β€ x β€ 1 and 4 β€ y β€ 9 , then how many different triangles can be drawn that will meet these conditions ?",
"role": "user"
},
{
"content": "How many distinct right triangles can be formed in the xy-plane with the right angle at A, AB parallel to the y-axis, and integer coordinates for A, B, and C within the ranges -7 β€ x β€ 1 and 4 β€ y β€ 9 ?",
"role": "assistant"
}
] |
How many distinct right triangles can be formed in the xy-plane with the right angle at A, AB parallel to the y-axis, and integer coordinates for A, B, and C within the ranges -7 β€ x β€ 1 and 4 β€ y β€ 9 ?
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right triangle abc is to be drawn in the xy - plane so that the right angle is at a and ab is parallel to the y - axis . if the x - and y - coordinates of a , b , and c are to be integers that are consistent with the inequalities - 7 β€ x β€ 1 and 4 β€ y β€ 9 , then how many different triangles can be drawn that will meet these conditions ?
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a man has $ 480 in the denominations of one - dollar , 5 - dollar notes and 10 - dollar . the number of dollars of each denomination is equal . what is the total number of dollar that he has ?
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[
{
"content": "a man has $ 480 in the denominations of one - dollar , 5 - dollar notes and 10 - dollar . the number of dollars of each denomination is equal . what is the total number of dollar that he has ?",
"role": "user"
},
{
"content": "How many dollars does the man have in total if he has $480 in $1, $5, and $10 notes, with an equal number of each denomination?",
"role": "assistant"
}
] |
How many dollars does the man have in total if he has $480 in $1, $5, and $10 notes, with an equal number of each denomination?
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a man has $ 480 in the denominations of one - dollar , 5 - dollar notes and 10 - dollar . the number of dollars of each denomination is equal . what is the total number of dollar that he has ?
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when n is divided by 48 , the remainder is 6 . what is the remainder when 4 n is divided by 8 ?
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[
{
"content": "when n is divided by 48 , the remainder is 6 . what is the remainder when 4 n is divided by 8 ?",
"role": "user"
},
{
"content": "When 4 times n is divided by 8, what is the remainder ?",
"role": "assistant"
}
] |
When 4 times n is divided by 8, what is the remainder ?
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when n is divided by 48 , the remainder is 6 . what is the remainder when 4 n is divided by 8 ?
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find how many positive integers less than 10000 are there such thatthe sum of the digits of the no . is divisible by 3 ?
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[
{
"content": "find how many positive integers less than 10000 are there such thatthe sum of the digits of the no . is divisible by 3 ?",
"role": "user"
},
{
"content": "What is the count of positive integers below 10000 where the sum of their digits is a multiple of 3?",
"role": "assistant"
}
] |
What is the count of positive integers below 10000 where the sum of their digits is a multiple of 3?
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find how many positive integers less than 10000 are there such thatthe sum of the digits of the no . is divisible by 3 ?
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a , b and c can do a work in 7 , 14 and 21 days respectively . they completed the work and got rs . 242 . what is the share of c ?
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[
{
"content": "a , b and c can do a work in 7 , 14 and 21 days respectively . they completed the work and got rs . 242 . what is the share of c ?",
"role": "user"
},
{
"content": "What is C's share of the Rs. 242 they received after A, B, and C completed the work in 7, 14, and 21 days, respectively?",
"role": "assistant"
}
] |
What is C's share of the Rs. 242 they received after A, B, and C completed the work in 7, 14, and 21 days, respectively?
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a , b and c can do a work in 7 , 14 and 21 days respectively . they completed the work and got rs . 242 . what is the share of c ?
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the present population of a town is 4320 . population increase rate is 20 % p . a . find the population of town before 2 years ?
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[
{
"content": "the present population of a town is 4320 . population increase rate is 20 % p . a . find the population of town before 2 years ?",
"role": "user"
},
{
"content": "What was the town's population two years ago, given a 20% annual population increase rate from the current 4320 residents?",
"role": "assistant"
}
] |
What was the town's population two years ago, given a 20% annual population increase rate from the current 4320 residents?
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the present population of a town is 4320 . population increase rate is 20 % p . a . find the population of town before 2 years ?
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if 12 men and 16 boys can do a piece of work in 7 days and 13 men together will 24 boys can do it in 4 days . compare the daily work done by a man with that of a boy .
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[
{
"content": "if 12 men and 16 boys can do a piece of work in 7 days and 13 men together will 24 boys can do it in 4 days . compare the daily work done by a man with that of a boy .",
"role": "user"
},
{
"content": "How does the daily work done by a man compare to that of a boy if 12 men and 16 boys complete a job in 7 days, and 13 men with 24 boys complete it in 4 days.",
"role": "assistant"
}
] |
How does the daily work done by a man compare to that of a boy if 12 men and 16 boys complete a job in 7 days, and 13 men with 24 boys complete it in 4 days.
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if 12 men and 16 boys can do a piece of work in 7 days and 13 men together will 24 boys can do it in 4 days . compare the daily work done by a man with that of a boy .
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two persons a and b can complete a piece of work in 30 days and 45 days respectively . if they work together , what part of the work will be completed in 6 days ?
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[
{
"content": "two persons a and b can complete a piece of work in 30 days and 45 days respectively . if they work together , what part of the work will be completed in 6 days ?",
"role": "user"
},
{
"content": "If A and B work together, what fraction of the work will they finish in 6 days",
"role": "assistant"
}
] |
If A and B work together, what fraction of the work will they finish in 6 days
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two persons a and b can complete a piece of work in 30 days and 45 days respectively . if they work together , what part of the work will be completed in 6 days ?
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a hat company ships its hats , individually wrapped , in 8 - inch by 10 - inch by 12 - inch boxes . each hat is valued at $ 7.50 . if the company β s latest order required a truck with at least 432,000 cubic inches of storage space in which to ship the hats in their boxes , what was the minimum value of the order ?
|
[
{
"content": "a hat company ships its hats , individually wrapped , in 8 - inch by 10 - inch by 12 - inch boxes . each hat is valued at $ 7.50 . if the company β s latest order required a truck with at least 432,000 cubic inches of storage space in which to ship the hats in their boxes , what was the minimum value of the order ?",
"role": "user"
},
{
"content": "What was the minimum value of the hats order that required a truck with at least 432,000 cubic inches of storage space to ship the individually wrapped hats in 8 - inch by 10 - inch by 12 - inch boxes , with each hat valued at $ 7.50 ?",
"role": "assistant"
}
] |
What was the minimum value of the hats order that required a truck with at least 432,000 cubic inches of storage space to ship the individually wrapped hats in 8 - inch by 10 - inch by 12 - inch boxes , with each hat valued at $ 7.50 ?
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a hat company ships its hats , individually wrapped , in 8 - inch by 10 - inch by 12 - inch boxes . each hat is valued at $ 7.50 . if the company β s latest order required a truck with at least 432,000 cubic inches of storage space in which to ship the hats in their boxes , what was the minimum value of the order ?
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in how many ways 4 boys and 4 girls can be seated in a row so that they are alternate .
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[
{
"content": "in how many ways 4 boys and 4 girls can be seated in a row so that they are alternate .",
"role": "user"
},
{
"content": "In how many ways can 4 boys and 4 girls be seated alternately in a row?",
"role": "assistant"
}
] |
In how many ways can 4 boys and 4 girls be seated alternately in a row?
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in how many ways 4 boys and 4 girls can be seated in a row so that they are alternate .
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two men a and b start from place x walking at 4 Β½ kmph and 5 ΒΎ kmph respectively . how many km apart they are at the end of 4 Β½ hours if they are walking in the same direction ?
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[
{
"content": "two men a and b start from place x walking at 4 Β½ kmph and 5 ΒΎ kmph respectively . how many km apart they are at the end of 4 Β½ hours if they are walking in the same direction ?",
"role": "user"
},
{
"content": "If two men, A and B, start from the same location, walking at 4.5 km/h and 5.75 km/h respectively, how far apart will they be after 4.5 hours if they're walking in the same direction?",
"role": "assistant"
}
] |
If two men, A and B, start from the same location, walking at 4.5 km/h and 5.75 km/h respectively, how far apart will they be after 4.5 hours if they're walking in the same direction?
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two men a and b start from place x walking at 4 Β½ kmph and 5 ΒΎ kmph respectively . how many km apart they are at the end of 4 Β½ hours if they are walking in the same direction ?
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kavi spends 50 % of his monthly salary on food and saves 80 % of the remaining amount . if his monthly salary is rs . 19000 , how much money does he save every month ?
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[
{
"content": "kavi spends 50 % of his monthly salary on food and saves 80 % of the remaining amount . if his monthly salary is rs . 19000 , how much money does he save every month ?",
"role": "user"
},
{
"content": "What amount of money does Kavi save monthly, given that he spends 50% of his Rs. 19000 salary on food and saves 80% of the remaining amount?",
"role": "assistant"
}
] |
What amount of money does Kavi save monthly, given that he spends 50% of his Rs. 19000 salary on food and saves 80% of the remaining amount?
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kavi spends 50 % of his monthly salary on food and saves 80 % of the remaining amount . if his monthly salary is rs . 19000 , how much money does he save every month ?
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a man can row upstream at 40 kmph and downstream at 52 kmph , and then find the speed of the man in still water ?
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[
{
"content": "a man can row upstream at 40 kmph and downstream at 52 kmph , and then find the speed of the man in still water ?",
"role": "user"
},
{
"content": "What is the speed of the man in still water if he can row upstream at 40 kmph and downstream at 52 kmph ?",
"role": "assistant"
}
] |
What is the speed of the man in still water if he can row upstream at 40 kmph and downstream at 52 kmph ?
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a man can row upstream at 40 kmph and downstream at 52 kmph , and then find the speed of the man in still water ?
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a can do a piece of work in 10 days and b alone can do it in 20 days . how much time will both take to finish the work ?
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[
{
"content": "a can do a piece of work in 10 days and b alone can do it in 20 days . how much time will both take to finish the work ?",
"role": "user"
},
{
"content": "If a takes 10 days and b takes 20 days to complete the work individually, how long will it take for a and b together to finish it?",
"role": "assistant"
}
] |
If a takes 10 days and b takes 20 days to complete the work individually, how long will it take for a and b together to finish it?
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a can do a piece of work in 10 days and b alone can do it in 20 days . how much time will both take to finish the work ?
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a ferry can transport 100 tons of vehicles . automobiles range in weight from 1,600 to 3,000 pounds . what is the greatest number of automobiles that can be loaded onto the ferry ?
|
[
{
"content": "a ferry can transport 100 tons of vehicles . automobiles range in weight from 1,600 to 3,000 pounds . what is the greatest number of automobiles that can be loaded onto the ferry ?",
"role": "user"
},
{
"content": "What's the maximum number of automobiles that can be loaded onto the ferry, given that it can carry 100 tons of vehicles and automobiles weigh between 1,600 and 3,000 pounds?",
"role": "assistant"
}
] |
What's the maximum number of automobiles that can be loaded onto the ferry, given that it can carry 100 tons of vehicles and automobiles weigh between 1,600 and 3,000 pounds?
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a ferry can transport 100 tons of vehicles . automobiles range in weight from 1,600 to 3,000 pounds . what is the greatest number of automobiles that can be loaded onto the ferry ?
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the simple interest on rs . 10 for 4 months at the rate of 3 paise per rupeeper month is
|
[
{
"content": "the simple interest on rs . 10 for 4 months at the rate of 3 paise per rupeeper month is",
"role": "user"
},
{
"content": "the simple interest on rs . 10 at 3 paise per rupee per month for 4 months is",
"role": "assistant"
}
] |
the simple interest on rs . 10 at 3 paise per rupee per month for 4 months is
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the simple interest on rs . 10 for 4 months at the rate of 3 paise per rupeeper month is
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two trains are moving in the same direction at 72 kmph and 36 kmph . the faster train crosses a man in the slower train in 48 seconds . find the length of the faster train ?
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[
{
"content": "two trains are moving in the same direction at 72 kmph and 36 kmph . the faster train crosses a man in the slower train in 48 seconds . find the length of the faster train ?",
"role": "user"
},
{
"content": "What is the length of the faster train, given that it is traveling at 72 km/h and passes a man in the slower train, which is moving at 36 km/h, in 48 seconds?",
"role": "assistant"
}
] |
What is the length of the faster train, given that it is traveling at 72 km/h and passes a man in the slower train, which is moving at 36 km/h, in 48 seconds?
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two trains are moving in the same direction at 72 kmph and 36 kmph . the faster train crosses a man in the slower train in 48 seconds . find the length of the faster train ?
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a bowl contains equal numbers of red , orange , green , blue , and yellow candies . kaz eats all of the green candies and half of the orange ones . next , he eats half of the remaining pieces of each color . finally , he eats red and yellow candies in equal proportions until the total number of remaining candies of all colors equals 25 % of the original number . what percent of the red candies remain ?
|
[
{
"content": "a bowl contains equal numbers of red , orange , green , blue , and yellow candies . kaz eats all of the green candies and half of the orange ones . next , he eats half of the remaining pieces of each color . finally , he eats red and yellow candies in equal proportions until the total number of remaining candies of all colors equals 25 % of the original number . what percent of the red candies remain ?",
"role": "user"
},
{
"content": "What percentage of the original red candies are left after Kaz's eating sequence?",
"role": "assistant"
}
] |
What percentage of the original red candies are left after Kaz's eating sequence?
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a bowl contains equal numbers of red , orange , green , blue , and yellow candies . kaz eats all of the green candies and half of the orange ones . next , he eats half of the remaining pieces of each color . finally , he eats red and yellow candies in equal proportions until the total number of remaining candies of all colors equals 25 % of the original number . what percent of the red candies remain ?
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what is the units digit of ( 63 ^ 4 ) ( 41 ^ 7 ) ( 99 ^ 9 ) ?
|
[
{
"content": "what is the units digit of ( 63 ^ 4 ) ( 41 ^ 7 ) ( 99 ^ 9 ) ?",
"role": "user"
},
{
"content": "What is the units digit of the product of 63 to the fourth power, 41 to the seventh power, and 99 to the ninth power?",
"role": "assistant"
}
] |
What is the units digit of the product of 63 to the fourth power, 41 to the seventh power, and 99 to the ninth power?
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what is the units digit of ( 63 ^ 4 ) ( 41 ^ 7 ) ( 99 ^ 9 ) ?
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if - 4 and - 8 are negative integers , then - 4 * - 8 + 2 is
|
[
{
"content": "if - 4 and - 8 are negative integers , then - 4 * - 8 + 2 is",
"role": "user"
},
{
"content": "If -4 and -8 are negative integers, then -4 * -8 + 2 equals",
"role": "assistant"
}
] |
If -4 and -8 are negative integers, then -4 * -8 + 2 equals
|
if - 4 and - 8 are negative integers , then - 4 * - 8 + 2 is
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the maximum number of students among them 1234 pens and 874 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is :
|
[
{
"content": "the maximum number of students among them 1234 pens and 874 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is :",
"role": "user"
},
{
"content": "What is the maximum number of students who can be given an equal distribution of 1234 pens and 874 pencils?",
"role": "assistant"
}
] |
What is the maximum number of students who can be given an equal distribution of 1234 pens and 874 pencils?
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the maximum number of students among them 1234 pens and 874 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is :
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a boatman selling a boat along river flow . if he sell boat in steal water at 3 m / sec and flow of river is 2 m / sec . how much time he will take to sell 100 m .
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[
{
"content": "a boatman selling a boat along river flow . if he sell boat in steal water at 3 m / sec and flow of river is 2 m / sec . how much time he will take to sell 100 m .",
"role": "user"
},
{
"content": "A boatman is selling a boat along the river's flow. If he sells the boat in still water at 3 m/sec and the river's flow is 2 m/sec, how long will it take him to sell 100 m?",
"role": "assistant"
}
] |
A boatman is selling a boat along the river's flow. If he sells the boat in still water at 3 m/sec and the river's flow is 2 m/sec, how long will it take him to sell 100 m?
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a boatman selling a boat along river flow . if he sell boat in steal water at 3 m / sec and flow of river is 2 m / sec . how much time he will take to sell 100 m .
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a man can row his boat with the stream at 12 km / h and against the stream in 8 km / h . the man ' s rate is ?
|
[
{
"content": "a man can row his boat with the stream at 12 km / h and against the stream in 8 km / h . the man ' s rate is ?",
"role": "user"
},
{
"content": "What is the man's rowing rate",
"role": "assistant"
}
] |
What is the man's rowing rate
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a man can row his boat with the stream at 12 km / h and against the stream in 8 km / h . the man ' s rate is ?
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jayant opened a shop investing rs . 30,000 . madhu joined him 2 months later , investing rs . 45,000 . they earned a profit of rs . 60,000 after completion of one year . what will be madhu ' s share of profit ?
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[
{
"content": "jayant opened a shop investing rs . 30,000 . madhu joined him 2 months later , investing rs . 45,000 . they earned a profit of rs . 60,000 after completion of one year . what will be madhu ' s share of profit ?",
"role": "user"
},
{
"content": "What will be Madhu's share of the profit?",
"role": "assistant"
}
] |
What will be Madhu's share of the profit?
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jayant opened a shop investing rs . 30,000 . madhu joined him 2 months later , investing rs . 45,000 . they earned a profit of rs . 60,000 after completion of one year . what will be madhu ' s share of profit ?
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if the average ( arithmetic mean ) of a and b is 120 , and the average of b and c is 150 , what is the value of a β c ?
|
[
{
"content": "if the average ( arithmetic mean ) of a and b is 120 , and the average of b and c is 150 , what is the value of a β c ?",
"role": "user"
},
{
"content": "What is the difference between a and c if the average of a and b is 120 and the average of b and c is 150?",
"role": "assistant"
}
] |
What is the difference between a and c if the average of a and b is 120 and the average of b and c is 150?
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if the average ( arithmetic mean ) of a and b is 120 , and the average of b and c is 150 , what is the value of a β c ?
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a vessel of capacity 2 litre has 25 % of alcohol and another vessel of capacity 6 litre had 30 % alcohol . the total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water . what is the new concentration of mixture ?
|
[
{
"content": "a vessel of capacity 2 litre has 25 % of alcohol and another vessel of capacity 6 litre had 30 % alcohol . the total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water . what is the new concentration of mixture ?",
"role": "user"
},
{
"content": "A 2-liter vessel contains 25% alcohol, and a 6-liter vessel contains 30% alcohol. After pouring the total 8 liters into a 10-liter vessel, the remaining space is filled with water. What is the resulting alcohol concentration in the mixture?",
"role": "assistant"
}
] |
A 2-liter vessel contains 25% alcohol, and a 6-liter vessel contains 30% alcohol. After pouring the total 8 liters into a 10-liter vessel, the remaining space is filled with water. What is the resulting alcohol concentration in the mixture?
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a vessel of capacity 2 litre has 25 % of alcohol and another vessel of capacity 6 litre had 30 % alcohol . the total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water . what is the new concentration of mixture ?
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if x / 4 years ago roger was 14 years old and x / 4 years from now he will be 4 x years old , how old will he be 3 x years from now ?
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[
{
"content": "if x / 4 years ago roger was 14 years old and x / 4 years from now he will be 4 x years old , how old will he be 3 x years from now ?",
"role": "user"
},
{
"content": "What will Roger's age be 3x years from now if he was 14 four years ago and will be 4x years old four years from now?",
"role": "assistant"
}
] |
What will Roger's age be 3x years from now if he was 14 four years ago and will be 4x years old four years from now?
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if x / 4 years ago roger was 14 years old and x / 4 years from now he will be 4 x years old , how old will he be 3 x years from now ?
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jack and jill work at a hospital with 4 other workers . for an internal review , 2 of the 6 workers will be randomly chosen to be interviewed . what is the probability that jack and jill will both be chosen ?
|
[
{
"content": "jack and jill work at a hospital with 4 other workers . for an internal review , 2 of the 6 workers will be randomly chosen to be interviewed . what is the probability that jack and jill will both be chosen ?",
"role": "user"
},
{
"content": "What is the probability that both Jack and Jill will be selected for an interview out of the 6 hospital workers, with only 2 being randomly chosen?",
"role": "assistant"
}
] |
What is the probability that both Jack and Jill will be selected for an interview out of the 6 hospital workers, with only 2 being randomly chosen?
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jack and jill work at a hospital with 4 other workers . for an internal review , 2 of the 6 workers will be randomly chosen to be interviewed . what is the probability that jack and jill will both be chosen ?
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a fashion designer sold a pair of jeans to a retail store for 40 percent more than it cost to manufacture the pair of jeans . a customer bought the pair of jeans for 35 percent more than the retailer paid for them . the price the customer paid was what percent greater than the cost of manufacturing the jeans ?
|
[
{
"content": "a fashion designer sold a pair of jeans to a retail store for 40 percent more than it cost to manufacture the pair of jeans . a customer bought the pair of jeans for 35 percent more than the retailer paid for them . the price the customer paid was what percent greater than the cost of manufacturing the jeans ?",
"role": "user"
},
{
"content": "Here is a paraphrased version of the text:\n\nA fashion designer sold a pair of jeans to a retailer for 40% above the production cost. The retailer then sold the jeans to a customer for 35% above their purchase price. What was the percentage increase in the customer's purchase price compared to the manufacturing cost of the jeans?",
"role": "assistant"
}
] |
Here is a paraphrased version of the text:
A fashion designer sold a pair of jeans to a retailer for 40% above the production cost. The retailer then sold the jeans to a customer for 35% above their purchase price. What was the percentage increase in the customer's purchase price compared to the manufacturing cost of the jeans?
|
a fashion designer sold a pair of jeans to a retail store for 40 percent more than it cost to manufacture the pair of jeans . a customer bought the pair of jeans for 35 percent more than the retailer paid for them . the price the customer paid was what percent greater than the cost of manufacturing the jeans ?
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what least number must be added to 9879 , so that the sum is completely divisible by 10 ?
|
[
{
"content": "what least number must be added to 9879 , so that the sum is completely divisible by 10 ?",
"role": "user"
},
{
"content": "What is the minimum number that needs to be added to 9879 to make the sum divisible by 10 ?",
"role": "assistant"
}
] |
What is the minimum number that needs to be added to 9879 to make the sum divisible by 10 ?
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what least number must be added to 9879 , so that the sum is completely divisible by 10 ?
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solution x is 10 percent alcohol by volume , and solution y is 30 percent alcohol by volume . how many milliliters of solution y must be added to 150 milliliters of solution x to create a solution that is 25 percent alcohol by volume ?
|
[
{
"content": "solution x is 10 percent alcohol by volume , and solution y is 30 percent alcohol by volume . how many milliliters of solution y must be added to 150 milliliters of solution x to create a solution that is 25 percent alcohol by volume ?",
"role": "user"
},
{
"content": "What amount of solution y must be added to 150 milliliters of solution x to create a 25 percent alcohol by volume solution, given solution x is 10 percent alcohol by volume and solution y is 30 percent alcohol by volume?",
"role": "assistant"
}
] |
What amount of solution y must be added to 150 milliliters of solution x to create a 25 percent alcohol by volume solution, given solution x is 10 percent alcohol by volume and solution y is 30 percent alcohol by volume?
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solution x is 10 percent alcohol by volume , and solution y is 30 percent alcohol by volume . how many milliliters of solution y must be added to 150 milliliters of solution x to create a solution that is 25 percent alcohol by volume ?
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a cycle is bought for rs . 750 and sold for rs . 1080 , find the gain percent ?
|
[
{
"content": "a cycle is bought for rs . 750 and sold for rs . 1080 , find the gain percent ?",
"role": "user"
},
{
"content": "What is the gain percentage when a cycle is purchased for Rs. 750 and sold for Rs. 1080?",
"role": "assistant"
}
] |
What is the gain percentage when a cycle is purchased for Rs. 750 and sold for Rs. 1080?
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a cycle is bought for rs . 750 and sold for rs . 1080 , find the gain percent ?
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a , b and c invested rs . 6500 , rs . 1300 and rs . 7800 respectively , in a partnership business . find the share of b in profit of rs . 11700 after a year ?
|
[
{
"content": "a , b and c invested rs . 6500 , rs . 1300 and rs . 7800 respectively , in a partnership business . find the share of b in profit of rs . 11700 after a year ?",
"role": "user"
},
{
"content": "What is B's share of the annual profit of Rs. 11700, given A, B and C invested Rs. 6500, Rs. 1300 and Rs. 7800 respectively in the business?",
"role": "assistant"
}
] |
What is B's share of the annual profit of Rs. 11700, given A, B and C invested Rs. 6500, Rs. 1300 and Rs. 7800 respectively in the business?
|
a , b and c invested rs . 6500 , rs . 1300 and rs . 7800 respectively , in a partnership business . find the share of b in profit of rs . 11700 after a year ?
|
the average ( arithmetic mean ) of 16 students first quiz scores in a difficult english class is 62.5 . when one student dropped the class , the average of the remaining scores increased to 65.0 . what is the quiz score of the student who dropped the class ?
|
[
{
"content": "the average ( arithmetic mean ) of 16 students first quiz scores in a difficult english class is 62.5 . when one student dropped the class , the average of the remaining scores increased to 65.0 . what is the quiz score of the student who dropped the class ?",
"role": "user"
},
{
"content": "What was the quiz score of the student who dropped the class, given that the average score of the remaining 15 students increased from 62.5 to 65.0 after their departure?",
"role": "assistant"
}
] |
What was the quiz score of the student who dropped the class, given that the average score of the remaining 15 students increased from 62.5 to 65.0 after their departure?
|
the average ( arithmetic mean ) of 16 students first quiz scores in a difficult english class is 62.5 . when one student dropped the class , the average of the remaining scores increased to 65.0 . what is the quiz score of the student who dropped the class ?
|
evaluate 35 % of 450 + 45 % of 350
|
[
{
"content": "evaluate 35 % of 450 + 45 % of 350",
"role": "user"
},
{
"content": "Calculate 35 percent of 450 plus 45 percent of 350.",
"role": "assistant"
}
] |
Calculate 35 percent of 450 plus 45 percent of 350.
|
evaluate 35 % of 450 + 45 % of 350
|
when positive integer x is divided by positive integer y , the remainder is 8 . if x / y = 96.12 , what is the value of y ?
|
[
{
"content": "when positive integer x is divided by positive integer y , the remainder is 8 . if x / y = 96.12 , what is the value of y ?",
"role": "user"
},
{
"content": "When a positive integer x is divided by a positive integer y, the remainder is 8; given that x/y equals 96 and one-eighth, what is y's value?",
"role": "assistant"
}
] |
When a positive integer x is divided by a positive integer y, the remainder is 8; given that x/y equals 96 and one-eighth, what is y's value?
|
when positive integer x is divided by positive integer y , the remainder is 8 . if x / y = 96.12 , what is the value of y ?
|
a bullock cart has to cover a distance of 80 km in 10 hrs . if it covers half of the journey in 3 / 5 th time . what should be its speed to cover the remaining distance in the time left .
|
[
{
"content": "a bullock cart has to cover a distance of 80 km in 10 hrs . if it covers half of the journey in 3 / 5 th time . what should be its speed to cover the remaining distance in the time left .",
"role": "user"
},
{
"content": "To cover the remaining distance in the time left, what speed should the bullock cart have, given it covers half the 80 km journey in 3/5th of the 10-hour time frame?",
"role": "assistant"
}
] |
To cover the remaining distance in the time left, what speed should the bullock cart have, given it covers half the 80 km journey in 3/5th of the 10-hour time frame?
|
a bullock cart has to cover a distance of 80 km in 10 hrs . if it covers half of the journey in 3 / 5 th time . what should be its speed to cover the remaining distance in the time left .
|
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