query
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330
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a pump will fill a tank in 3 hours . because of a leak in the tank , it took 3 hours 30 min to fill the tank . in what time the leak can drain out all the water of the tank and will make tank empty ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a tank is filled by 3 pipes a , b , c in 3 hours . pipe c is twice as fast as b and b is twice as fast as a . how much will pipe a alone take to fill the tank ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a small water pump would take 3 hours to fill an empty tank . a larger pump would take 3 / 4 hour to fill the same tank . how many hours would it take both pumps , working at their respective constant rates , to fill the empty tank if they began pumping at the same time ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the average of 10 numbers is 7 . if each number is multiplied by 12 , then the average of new set of numbers is" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: there are 4 people of different heights standing in order of increasing height . the difference is 2 inches between the first person and the second person , and also between the second person and the third person . the difference between the third person and the fourth person is 6 inches and the average height is 78 . how tall is the fourth person ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the average of 7 numbers is 25 . if each number be multiplied by 5 . find the average of new set of numbers ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: two trains , a and b , started simultaneously from opposite ends of a 120 - mile route and traveled toward each other on parallel tracks . train a , traveling at a constant rate , completed the 120 - mile trip in 6 hours ; train b , traveling at a constant rate , completed the 120 - mile trip in 4 hours . how many miles had train a traveled when it met train b ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: how many seconds will a 800 meter long train moving with a speed of 63 km / hr take to cross a man walking with a speed of 3 km / hr in the direction of the train ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: two trains , a and b , started simultaneously from opposite ends of a 125 - mile route and traveled toward each other on parallel tracks . train a , traveling at a constant rate , completed the 125 - mile trip in 12 hours ; train b , traveling at a constant rate , completed the 125 - mile trip in 8 hours . how many miles had train a traveled when it met train b ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: h is a positive integer and 225 and 216 are both divisors of h . if h = ( 2 ^ a ) * ( 3 ^ b ) * ( 5 ^ c ) , where a , b and c are positive integers , what is the least possible value of a + b + c ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if - 2 and - 3 are negative integers , then - 2 * - 3 + 2 is" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: what is the smallest positive integer x such that 180 - x is the cube of a positive integer" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if 8 workers can build 8 cars in 8 days , then how many days would it take 4 workers to build 4 cars ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if 8 workers can build 8 cars in 8 days , then how many days would it take 6 workers to build 6 cars ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a work crew of 6 men takes 8 days to complete one - half of a job . if 9 men are then added to the crew and the men continue to work at the same rate , how many days will it take the enlarged crew to do the rest of the job ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: sally has a gold credit card with a certain spending limit , and a platinum card with twice the spending limit of the gold card . currently , she has a balance on her gold card that is 1 / 3 of the spending limit on that card , and she has a balance on her platinum card that is 1 / 7 of the spending limit on that card . if sally transfers the entire balance on her gold card to her platinum card , what portion of her limit on the platinum card will remain unspent ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the denominator of a fraction is 7 greater than the numerator . if the numerator and the denominator are increased by 4 , the resulting fraction is equal to 5 ⠁ „ 6 . what is the value of the original fraction ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: when jessica withdrew $ 200 from her bank account , her account balance decreased by 2 / 5 . if she deposits an amount equal to 2 / 3 of the remaining balance , what will be the final balance in her bank account ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: 70 % of x is greater than 1 / 3 rd of x by 110 . what is x ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: difference of 2 numbers is 100 . if 5 % of one number is 10 % of the other number , find the addition of 2 numbers ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: 45 % of x is greater than 1 / 3 rd of x by 110 . what is x ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the lcm of two numbers is 2310 and hcf is 30 . if one of the numbers is 210 . then what is the other number ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the lcm of two numbers is 2310 and hcf is 55 . if one of the numbers is 210 . then what is the other number ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: find the greatest number which on dividing 6215 and 7373 , leaves a reminder of 23 and 29 respectively" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: an equilateral triangle t 2 is formed by joining the mid points of the sides of another equilateral triangle t 1 . a third equilateral triangle t 3 is formed by joining the mid - points of t 2 and this process is continued indefinitely . if each side of t 1 is 40 cm , find the sum of the perimeters of all the triangles ." ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: two diagonals of a rhombus are 72 cm and 30 cm respectively . what is its perimeter ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: two numbers are in the ratio 3 : 4 . if their l . c . m . is 60 . what is sum of the numbers ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the greatest number that divides 690 and 875 leaving remainders 10 and 25 respectively is :" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: i chose a number and divide it by 4 . then i subtracted 24 from the result and got 10 . what was the number i chose ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: find the greatest number that will divide 205 , 626 and 588 leaving 5 , 6 and 8 as remainders respectively" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the sum of the first n positive perfect squares , where n is a positive integer , is given by the formula n ^ 3 / 3 + c * n ^ 2 + n / 6 , where c is a constant . what is the sum of the first 17 positive perfect squares ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the sum of the first n positive perfect squares , where n is a positive integer , is given by the formula n ^ 3 / 3 + c * n ^ 2 + n / 6 , where c is a constant . what is the sum of the first 20 positive perfect squares ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the number 181 can be written as sum of the squares of 2 different positive integers . what is the difference of these 2 different integers ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a couple who own an appliance store discover that if they advertise a sales discount of 10 % on every item in the store , at the end of one month the number of total items sold increases 15 % . their gross income from sales for one month increases by what percent ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: selling an kite for rs . 30 , a shop keeper gains 15 % . during a clearance sale , the shopkeeper allows a discount of 10 % on the marked price . his gain percent during the sale is ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a dealer purchases 15 articles for rs . 25 and sells 12 articles for rs . 32 . find the profit percentage ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: evaluate : 19 + sqrt ( - 2 + 12 ã — 6 ã · 9 ) = ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the standard deviation of a normal distribution of data is 2 , and 3 standard deviations below the mean is greater than 48 . what is a possible value for the mean of the distribution ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: what is the value of ( 2 ) ^ - 3 ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: how many diagonals does a 60 - sided convex polygon have ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a diagonal of a polygon is an segment between two non - adjacent vertices of the polygon . how many diagonals does a regular 20 - sided polygon have ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: what is the measure of the angle y made by the diagonals of the any adjacent sides of a cube ." ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if m is a positive integer and m ^ 2 is divisible by 24 , then the largest positive integer that must divide m is ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the largest one digit number which is a perfect cube , is :" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: there is a square with sides of 12 . what is the circumference of the biggest circle that can be cut out of this square ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a not - so - good clockmaker has four clocks on display in the window . clock # 1 loses 25 minutes every hour . clock # 2 gains 15 minutes every hour relative to clock # 1 ( i . e . , as clock # 1 moves from 12 : 00 to 1 : 00 , clock # 2 moves from 12 : 00 to 1 : 15 ) . clock # 3 loses 20 minutes every hour relative to clock # 2 . finally , clock # 4 gains 20 minutes every hour relative to clock # 3 . if the clockmaker resets all four clocks to the correct time at 12 noon , what time will clock # 4 display after 6 actual hours ( when it is actually 6 : 00 pm that same day ) ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: it is currently 7 : 05 pm . what time was it in the morning exactly 51,132 minutes ago ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a person purchases 90 clocks and sells 40 clocks at a gain of 10 % and 50 clocks at a gain of 20 % . if he sold all of them at a uniform profit of 15 % , then he would have got rs . 40 less . the cost price of each clock is :" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: { - 10 , - 6 , - 5 , - 4 , - 2.5 , - 1 , 0 , 2.5 , 4 , 6 , 7 , 10 } a number is to be selected at random from the set above . what is the probability that the number selected will be a solution of the equation ( x + 5 ) ( x + 10 ) ( 2 x - 5 ) = 0 ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if two dice are thrown together , the probability of getting an even number on both dice is" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if the average of 5 positive integers is 50 and the difference between the largest and the smallest of these 5 numbers is 10 , what is the maximum value possible for the largest of these 5 integers ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: 10 ^ ( 600 ) ã · 10 ^ ( 580 ) = ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if n = 10 ^ 100 and n ^ n = 10 k what is the value of k ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: 212 : 436 : : 560 : ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a certain car can travel 20 minutes on a gallon of gasoline at 60 miles per hour . if the car had started with a full tank and had 8 gallons of gasoline left in its tank at the end , then what percent of the tank was used to travel 80 miles at 60 mph ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a certain car can travel 40 minutes on a gallon of gasoline at 60 miles per hour . if the car had started with a full tank and had 6 gallons of gasoline left in its tank at the end , then what percent of the tank was used to travel 80 miles at 60 mph ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: car z travels 50 miles per gallon of gasoline when driven at a constant rate of 45 miles per hour , but travels 20 percent fewer miles per gallon of gasoline when driven at a constant rate of 60 miles per hour . how many miles does car z travel on 10 gallons of gasoline when driven at a constant rate of 60 miles per hour ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the difference between two numbers is 2395 . when the larger number is divided by the smaller one , the quotient is 6 and the remainder is 15 . the smaller number is" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: find large number from below question the difference of two numbers is 1355 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the difference of two numbers is 1565 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder . what is the smaller number ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if x and y are positive integers and 7 + x + y + xy = 21 , what is the value of x + y ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if x and y are positive integers and 3 + x + y + xy = 17 , what is the value of x + y ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: 17200 x 223 + 17200 x 77 = ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: an empty fuel tank is filled with brand z gasoline . when the tank is 1 / 4 empty , it is filled with brand y gasoline . when the tank is half empty again , it is filled with brand z gasoline . when the tank is half empty again , it is filled with brand y gasoline . at this time , what percent of the gasoline in the tank is brand z ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: an empty fuel tank is filled with brand z gasoline . when the tank is 3 / 4 empty , it is filled with brand y gasoline . when the tank is half empty again , it is filled with brand z gasoline . when the tank is half empty again , it is filled with brand y gasoline . at this time , what percent of the gasoline in the tank is brand z ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: an empty fuel tank with a capacity of 200 gallons was filled partially with fuel a and then to capacity with fuel b . fuel a contains 12 % ethanol by volume and fuel b contains 16 % ethanol by volume . if the full fuel tank contains 28 gallons of ethanol , how many gallons of fuel a were added ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a truck travels 20 miles due north , 30 miles due east , and then 20 miles due north . how many miles is the truck from the starting point ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: laxmi and prasanna set on a journey . laxmi moves northwards at a speed of 20 kmph and prasanna moves southward at a speed of 30 kmph . how far will be prasanna from laxmi after 60 minutes ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: calculate how much time could be saved if the train would run at its usual speed , given that it ran at 2 / 3 of its own speed and got to its destination in 20 hours ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a one - foot stick is marked in 1 / 4 and 1 / 5 portion . how many total markings will there be , including the end points ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: when 3 is added to half of one - third of one - fifth of a number , the result is one - fifteenth of the number . find the number ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a diagonal of a polygon is an segment between two non - adjacent vertices of the polygon . how many diagonals does a regular 20 - sided polygon have ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a can do a piece of work in 15 days . a does the work for 5 days only and leaves the job . b does the remaining work in 18 days . in how many days b alone can do the work ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a can do a piece of work in 15 days . a does the work for 5 days only and leaves the job . b does the remaining work in 6 days . in how many days b alone can do the work ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a can do a piece of work in 10 days and b can do it in 15 days and c can do it 20 days . they started the work together and a leaves after 5 days and b leaves after 3 days from the beginning . how long will work lost ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the average age of 30 students in a class is 15 years . if the age of teacher is also included , the average becomes 16 years , find the age of the teacher ." ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the average age of 25 students in a class is 12 years . if teacher ' s age is also included then average increases 1 year then find the teacher ' s age ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the average age of 15 students of a class is 15 years . out of these , the average age of 3 students is 14 years and that of the other 11 students is 16 years . the age of the 15 th student is" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a dishonest person wants to make a profit on the selling of milk . he would like to mix water ( costing nothing ) with milk costing 33 $ per litre so as to make a profit of 70 % on cost when he sells the resulting milk and water mixture for 36 $ . in what ratio should he mix the water and milk ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: in what ratio must water be mixed with milk to gain 16 2 / 3 % on selling the mixture at cost price ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a mixture of 70 litres of milk and water contains 10 % water . how many litres of water should be added to the mixture so that the mixture contains 12 1 / 2 % water ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the length of the bridge , which a train 140 metres long and travelling at 45 km / hr can cross in 30 seconds , is ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: what is the length of a bridge ( in meters ) , which a train 156 meters long and travelling at 45 km / h can cross in 30 seconds ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a train 360 m long is running at a speed of 45 km / hr . in what time will be pass a bridge 140 m long ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: two trains are approaching each other at 60 mph each . the length of each train is 1 / 6 miles . when the two locomotives ( engines ) meet , how many seconds will it take for them to pass each other completely ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: how many seconds will a train 150 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: two trains of length 100 m and 200 m are 100 m apart . they start moving towards each other on parallel tracks , at speeds 36 kmph and 72 kmph . in how much time will the trains cross each other ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if the sum of 5 consecutive even positive integers is a , then the sum of the next 5 even consecutive integers in terms of a is :" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if 1 / 5 th of a number decreased by 5 is 5 , then the number is" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the average of 5 consecutive odd numbers is 55 . what is the difference between the highest and lowest numbers ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: 3 positive integers a , b , and c are such that their average is 20 and a ≤ b ≤ c . if the median is ( a + 13 ) , what is the least possible value of c ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: when positive integer n is divided by 3 , the remainder is 1 . when n is divided by 7 , the remainder is 5 . what is the smallest positive integer k such that k + n is a multiple of 21 ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the average of 5 consecutive odd numbers a , b , c , d and e is 13 . what percent of b is c ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the simple form of the ratio 7 / 6 : 2 / 5 is ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the compound ratio of 7 : 6 , 3 : 2 and 4 : 5 ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if 5 + 7 / x = 6 - 5 / x , then x =" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: in a new housing development , trees are to be planted along the sidewalk of a certain street . each tree takes up one square foot of sidewalk space , and there are to be 9 feet between each tree . how many trees can be planted if the road is 151 feet long ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: in a new housing development , trees are to be planted along the sidewalk of a certain street . each tree takes up one square foot of sidewalk space , and there are to be 12 feet between each tree . how many trees can be planted if the road is 157 feet long ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: in a garden , 26 trees are planted at equal distances along a yard 700 metres long , one tree being at each end of the yard . what is the distance between two consecutive trees ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: in n is a positive integer less than 200 , and 14 n / 60 is an integer , then n has how many different positive prime factors s ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: in n is a positive integer less than 200 , and 14 n / 60 is an integer , then n has how many different positive prime factors a ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: find the average of all prime numbers between 40 and 80 ." ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: at 15 : 00 there were 22 students in the computer lab . at 15 : 03 and every three minutes after that , 3 students entered the lab . if at 15 : 10 and every ten minutes after that 8 students left the lab , how many students were in the computer lab at 15 : 44 ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: in a certain business school class , p students are accounting majors , q students are finance majors , r students are marketing majors , and s students are strategy majors . if pqrs = 1,155 , and if 1 < p < q < r < s , how many students in the class are accounting majors ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the timing of a college is from 12 p . m to 4.10 p . m . five lectures are held in the given duration and a break of 5 minutes after each lecture is given to the students . find the duration of each lecture ." ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if x > 3000 , then the value of ( 1.2 x ) / ( 0.5 x - 406 ) is closest to ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: kim finds a 6 - meter tree branch and marks it off in thirds and fifths . she then breaks the branch along all the markings and removes one piece of every distinct length . what fraction of the original branch remains ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the closest approximation of ( 69.28 × 0.004 ) / 0.03 is" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: what is the sum of the digits of integer k , if k = ( 10 ^ 45 - 46 )" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the sum of first n consecutive odd integers is n ^ 2 . what is the sum of all odd integers between 9 and 39 inclusive ." ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if 42.12 = k ( 14 + m / 50 ) , where k and m are positive integers and m < 50 , then what is the value of k + m ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a grocery store bought some mangoes at a rate of 5 for a dollar . they were separated into two stacks , one of which was sold at a rate of 3 for a dollar and the other at a rate of for a dollar . what was the ratio of the number of mangoes in the two stacks if the store broke even after having sold all of its mangoes ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a grocery store bought some mangoes at a rate of 5 for a dollar . they were separated into two stacks , one of which was sold at a rate of 5 for a dollar and the other at a rate of 5 for a dollar . what was the ratio of the number of mangoes in the two stacks if the store broke even after having sold all of its mangoes ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: mr . john used to purchase certain number of mangoes for $ 360 since the price of mangoes is reduced by 10 % he got 12 more mangoes today . find the original price of 135 mangoes ." ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a group of students decided to collect as many paise from each member of group as is the number of members . if the total collection amounts to rs . 46.24 , the number of the member is the group is :" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a group of students decided to collect as many paise from each member of group as is the number of members . if the total collection amounts to rs . 4356 , the number of the member is the group is :" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a group of students decided to collect as many paise from each member of group as is the number of members . if the total collection amounts to rs . 98.01 , the number of the member is the group is :" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: adam borrowed some money at the rate of 6 % p . a . for the first two years , at the rate of 9 % p . a . for the next 3 years , and at the rate of 14 % p . a . for the period beyond 5 years . 1 £ he pays a total interest of rs . 11400 at the end of 9 years how much money did he borrow ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a sum was put at simple interest at a certain rate for 10 years . had it been put at 5 % higher rate , it would have fetched rs . 600 more . what was the sum ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: reema took a loan of rs 900 with simple interest for as many years as the rate of interest . if she paid rs . 729 as interest at the end of the loan period , what was the rate of interest ." ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a , b and c are partners in a business . their capitals are respectively , rs . 5000 , rs . 6000 and rs . 4000 . a gets 30 % of the total profit for managing the business . the remaining profit is divided among 3 in the ratio of their capitals . in the end of the year , the profit of a is rs . 200 more than the sum of the profits of b and c . find the total profit ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: tom opened a shop investing rs . 3000 . jose joined him 2 months later , investing rs . 4500 . they earned a profit of rs . 5400 after completion of one year . what will be jose ' s share of profit ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: ravi and sunil are partners in a business . ravi invests rs . 12,000 for 4 months and sunil invested rs . 10000 for 5 months then after one year ratio of their profits will be" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: when x is multiplied by 3 , the result is 14 more than the result of subtracting x from 26 . what is the value of x ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if a - b = 3 and a ^ 2 + b ^ 2 = 29 , find the value of ab ." ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a number x is multiplied by 3 , and this product is then divided by 7 . if the positive square root of the result of these two operations equals x , what is the value of x if x ≠ 0 ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a certain elevator has a safe weight limit of 2,000 pounds . what is the greatest possible number of people who can safely ride on the elevator at one time with the average ( arithmetic mean ) weight of half the riders being 200 pounds and the average weight of the others being 230 pounds ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a certain elevator has a safe weight limit of 1950 pounds . what is the greatest possible number of people who can safely ride on the elevator at one time with the average ( arithmetic mean ) weight of half the riders being 190 pounds and the average weight of the others being 200 pounds ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: there are 6 people in the elevator . their average weight is 152 lbs . another person enters the elevator , and increases the average weight to 151 lbs . what is the weight of the 7 th person ." ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if 2 ^ 2 n + 2 ^ 2 n + 2 ^ 2 n + 2 ^ 2 n = 4 ^ 28 , then n =" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: he average of 10 numbers is 23 . if each number is increased by 4 , what will the new average be ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if 2 ^ 2 n + 2 ^ 2 n + 2 ^ 2 n + 2 ^ 2 n = 4 ^ 22 , then n =" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a sum of money is to be distributed among a , b , c , d in the proportion of 5 : 2 : 4 : 3 . if c gets 1000 more than d , what is b ’ s share ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a sum of money is distributed among a , b , c , d in the proportion of 5 : 2 : 4 : 3 . if c gets $ 1000 more than d , what is the b ' s share ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: rs . 1010 / - distributed among a , b and c such that on decreasing their shares by rs . 25 , rs . 10 and rs . 15 respectively , the balance money would be divided among them in the ratio 3 : 2 : 5 . then , c ’ s share is : ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a particular store purchased a stock of turtleneck sweaters and marked up its cost by 20 % . during the new year season , it further marked up its prices by 25 % of the original retail price . in february , the store then offered a discount of 20 % . what was its profit on the items sold in february ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a furniture store owner decided to drop the price of her recliners by 20 % to spur business . by the end of the week she had sold 50 % more recliners . what is the percentage increase of the gross ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a merchant sells an item at a 20 % discount , but still makes a gross profit of 40 percent of the cost . what percent of the cost would the gross profit on the item have been if it had been sold without the discount ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the average wages of a worker during a fortnight comprising 15 consecutive working days was $ 90 per day . during the first 7 days , his average wages was $ 87 per day and the average wages during the last 7 days was $ 91 per day . what was his wage on the 8 th day ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a group of 7 teenagers recently visited the japanese restaurant . the total bill for the meal , including 20 % gratuity , came to $ 840 . on average , how much did the meal of each individual cost before gratuity ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a worker earns $ 20 on the first day and spends $ 15 on the second day . the worker earns $ 20 on the third day and spends $ 15 on the fourth day . if this pattern continues , on which day will the worker first reach a net total of $ 100 ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: set s contains exactly 10 numbers and has an average ( arithmetic mean ) of 6.2 . if one of the numbers in set s is increased by 7 , while all other numbers remain the same , what is the new average of set s ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: when positive integer n is divided by 7 , the remainder is 1 . when n is divided by 11 , the remainder is 5 . what is the smallest positive integer k such that k + n is a multiple of 77 ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the average of 10 numbers is 7 . if each number is multiplied by 12 , then the average of new set of numbers is" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the compound ratio of 2 / 3 , 6 / 7 , 4 / 3 and 1 / 8 is given by ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: two brother x and y appeared for an exam . the probability of selection of x is 1 / 3 and that of b is 2 / 7 . find the probability that both of them are selected ." ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the ratio of three numbers is 2 : 3 : 4 and their sum is 180 . the second number of the three numbers is ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a certain number of men can finish a piece of work in 100 days . if there were 10 men less , it would take 10 days more for the work to be finished . how many men were there originally ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: in a certain animal population , for each of the first 3 months of life , the probability that an animal will die during that month is 1 / 10 . for a group of 150 newborn members of the population , approximately how many would be expected to survive the first 3 months of life ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: 12 men work 8 hours per day to complete the work in 10 days . to complete the same work in 8 days , working 15 hours a day , the number of men required ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: what is the maximum number of pieces of birthday cake of size 4 ” by 4 ” that can be cut from a cake 20 ” by 20 ” ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: buffalo gives 4 liter milk , cow gives ( 1 / 2 ) liter milk and goat gives 1 / 4 liter milk . you have to get 20 liter milk by 20 animals . what is the number of goats ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: how many cubes of 20 cm edge can be put in a cubical box of 1 m edge ." ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the distance between 2 cities a and b is 1000 km . a train starts from a at 11 a . m . and travels towards b at 100 km / hr . another starts from b at 12 p . m . and travels towards a at 150 km / hr . at what time do they meet ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the distance between 2 cities a and b is 1000 km . a train starts from a at 10 a . m . and travels towards b at 100 km / hr . another starts from b at 11 a . m . and travels towards a at 150 km / hr . at what time do they meet ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: two trains start from a & b and travel towards each other at speed of 50 kmph and 60 kmph resp . at the time of the meeting the second train has traveled 100 km more than the first . the distance between them ." ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a reduction of 15 % in the price of salt enables a lady to obtain 10 kgs more for rs . 100 , find the original price per kg ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a reduction of 22 % in the price of salt enables a lady to obtain 10 kgs more for rs . 100 , find the original price per kg ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a reduction of 25 % in the price of oil enables a house wife to obtain 5 kgs more for rs . 900 , what is the reduced price for kg ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a solid yellow stripe is to be painted in the middle of a certain highway . if 1 gallon of paint covers an area of q square feet of highway , how many gallons of paint will be needed to paint a stripe of t inches wide on a stretch of highway m miles long ? ( 1 mile = 5,280 feet and 1 foot = 12 inches )" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a solid yellow stripe is to be painted in the middle of a certain highway . if 1 gallon of paint covers an area of w square feet of highway , how many gallons of paint will be needed to paint a stripe of t inches wide on a stretch of highway m miles long ? ( 1 mile = 5,280 feet and 1 foot = 12 inches )" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a car traveled 560 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city . if the car traveled 6 fewer miles per gallon in the city than on the highway , how many miles per gallon did the car travel in the city ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the annual birth and death rate in a country per 1000 are 39.4 and 19.4 respectively . the number of years r in which the population would be doubled assuming there is no emigration or immigration is" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the annual birth and death rate in a country per 1000 are 39.4 and 19.4 respectively . the number of years x in which the population would be doubled assuming there is no emigration or immigration is" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the present population of a town is 2000 . population increase rate is 20 % p . a . find the population of town after 1 years ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: how many liters of pure alcohol must be added to a 100 - liter solution that is 20 percent alcohol in order to produce a solution that is 40 percent alcohol ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: 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 300 milliliters of solution x to create a solution that is 15 percent alcohol by volume ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the ratio , by volume , of soap to alcohol to water in a certain solution is 20 : 50 : 80 . the solution will be altered so that the ratio of soap to alcohol is doubled while the ratio of soap to water is halved . if the altered solution will contain 100 cubic centimeters of alcohol , how many cubic centimeters of water will it contain ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: on increasing the price of t . v . sets by 40 % , their sale decreases by 20 % . what is the effect on the revenue receipts of the shop ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a retailer buys 80 pens at the market price of 36 pens from a wholesaler , if he sells these pens giving a discount of 1 % , what is the profit % ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: when the price of a product was decreased by 20 % , the number sold increased by 60 % . what was the effect on the total revenue ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the banker â € ™ s gain on a sum due 3 years hence at 10 % per annum is rs . 60 . the banker â € ™ s discount is" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the banker â € ™ s gain on a sum due 3 years hence at 12 % per annum is rs . 180 . the banker â € ™ s discount is" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the bankers discount of a certain sum of money is rs . 18 and the true discount on the same sum for the same time is rs . 15 . the sum due is :" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: how much is 60 % of 40 is greater than 4 / 5 of 30 ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a number divided by 34 leaves remainder 37 what is the remainder when same number divided by 9" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: how much is 70 % of 40 is greater than 4 / 5 of 25 ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: two cycles are standing side - by - side . one cycle , which is 2.5 feets tall , casts a shadow that is 5 feets long . the other cycle is 2 feets tall . compute , in feets , the length of the shadow that the shorter cycle casts ." ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a train 110 m long is running with a speed of 90 km / h . in how many seconds will the train pass a man who is running at 9 km / h in the direction opposite to that in which the train is going ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a flagstaff 17.5 m high casts a shadow of length 40.25 m . the height of the building , which casts a shadow of length 28.75 m under similar conditions will be ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: in an election between two candidates , one got 60 % of the total valid votes , 30 % of the votes were invalid . if the total number of votes was 9000 , the number of valid votes that the other candidate got , was :" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: in a mayoral election , candidate x received 1 / 2 more votes than candidate y , and candidate y received 2 / 5 fewer votes than z . if z received 25000 votes how many votes did candidate x received ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: mr . kramer , the losing candidate in a two - candidate election , received 942,568 votes , which was exactly 45 percent of all votes cast . approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if a and b are positive real numbers , and a ^ 3 + b ^ 3 = 25 , then the greatest possible value of a is between :" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if a ^ 2 + b ^ 2 = 144 and ab ≠ 0 , then the greatest possible value for b is between" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the h . c . f . of two numbers is 25 and the other two factors of their l . c . m . are 13 and 14 . the larger of the two numbers is :" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: raman mixed 48 kg of butter at rs . 150 per kg with 36 kg butter at the rate of rs . 125 per kg . at what price per kg should he sell the mixture to make a profit of 40 % in the transaction ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a person buys an article at rs . 480 . at what price should he sell the article so as to make a profit of 24 % ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if a man lost 4 % by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44 % ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a sum was put at simple interest at a certain rate for 10 years . had it been put at 5 % higher rate , it would have fetched rs . 600 more . what was the sum ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: adam borrowed some money at the rate of 6 % p . a . for the first two years , at the rate of 9 % p . a . for the next 3 years , and at the rate of 14 % p . a . for the period beyond 5 years . 1 £ he pays a total interest of rs . 11400 at the end of 9 years how much money did he borrow ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: reema took a loan of rs 900 with simple interest for as many years as the rate of interest . if she paid rs . 729 as interest at the end of the loan period , what was the rate of interest ." ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the ratio of the radius of two circles is 1 : 3 , and then the ratio of their areas is ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the ratio of the radius of two circles is 1 : 5 , and then the ratio of their areas is ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: in the coordinate plane , a circle centered on point ( - 3 , - 4 ) passes through point ( 1 , 2 ) . what is the area of the circle ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: of the 20 members of a kitchen crew , 17 can use the meat - cutting machine , 18 can use the bread - slicing machine , and 15 can use both machines . if one member is chosen at random , what is the probability that the member chosen will be someone who can not use either machine ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: what is the unit digit of ( 6 ! * 3 ! / 3 ! * 4 ! ) ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: 35 % of the employees of a company are men . 60 % of the men in the company speak french and 40 % of the employees of the company speak french . what is % of the women in the company who do not speak french ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: 5.005 / 4.004 =" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a boy perform 5 times a reaction and his reading are 2 , 2.1 , 2 , 2.2 but unfortunately 5 th reading clearly not visible because a drop of chemical fall onto it . but luckily he have mean of all reading which is 2 . please help him in finding 5 th reading ." ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: 20.036 divided by 0.04 gives :" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the average ( arithmetic mean ) of the integers from 100 to 400 , inclusive , is how much greater than the average of the integers from 50 to 250 , inclusive ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the average of all odd numbers up to 200 is" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the average of numbers 0.64205 , 0.64203 , 0.64202 and 0.64201 is ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: there is food for 760 men for 22 days . how many more men should join after two days so that the same food may last for 5 days more ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a garrison of 2000 men has provisions for 54 days . at the end of 18 days , a reinforcement arrives , and it is now found that the provisions will last only for 20 days more . what is the reinforcement ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a work crew of 6 men takes 8 days to complete one - half of a job . if 9 men are then added to the crew and the men continue to work at the same rate , how many days will it take the enlarged crew to do the rest of the job ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: in a certain supermarket , a triangular display of cans is arranged in 9 rows , numbered 1 through 9 from top to bottom . each successively numbered row contains 3 more cans than the row immediately above it . if there are fewer than 120 cans in the entire display , how many cans are in the seventh row ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: how many 3 digit numbers n are divisible by 78 or 91 ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: at the wholesale store you can buy an 8 - pack of hot dogs for $ 1.55 , a 20 - pack for $ 3.05 , and a 250 - pack for $ 20.95 . what is the greatest number of hot dogs you can buy at this store with $ 300 ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: of 60 children , 30 are happy , 10 are sad , and 20 are neither happy nor sad . there are 19 boys and 41 girls . if there are 6 happy boys and 4 sad girls , how many boys are neither happy nor sad ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: in a sports club with 42 members , 20 play badminton and 23 play tennis and 6 do not play either . how many members play both badminton and tennis ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: in a group of 6 boys and 4 girls , four children are to be selected . in how many different ways can they be selected ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a train travels at the rate of 10 miles / hr for the first hour of a trip , at 20 miles / hr for the second hour , at 30 miles / hr for the third hour and so on . how many hours will it take the train to complete a 360 - mile journey ? assume that the train makes no intermediate stops ." ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: two trains of length 100 m and 200 m are 100.00001 m apart . they start moving towards each other on parallel tracks , at speeds 108 kmph and 72 kmph . in how much time will the trains cross each other ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a train 360 m long runs with a speed of 45 km / hr . what time will it take to pass a platform of 150 m long ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a salesperson received a commission of 3 percent of the sale price for each of the first 100 machines that she sold and 4 percent of the sale price for each machine that she sold after the first 100 . if the sale price of each machine was $ 10,000 and the salesperson received a $ 38,000 commission , how many machines did she sell ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a retailer buys 80 pens at the market price of 36 pens from a wholesaler , if he sells these pens giving a discount of 1 % , what is the profit % ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: for each of her sales , a saleswoman receives a commission equal to 20 percent of the first $ 500 of the total amount of the sale , plus 35 percent of the total amount in excess of $ 500 . if the total amount of one of her sales was $ 800 , the saleswoman ’ s commission was approximately what percent of the total amount of the sale ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: in a house a hall is 20 m long , 15 m wide and 5 m high . its interior has to be covered with mat . what will be the total expenditure if it costs rs . 10 per square m ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: in a house a hall is 20 m long , 15 m wide and 5 m high . its interior has to be covered with mat . what will be the total expenditure if it costs rs . 40 per square m ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: rectangular tile each of size 80 cm by 55 cm must be laid horizontally on a rectangular floor of size 210 cm by 330 cm , such that the tiles do not overlap and they are placed with edges jutting against each other on all edges . a tile can be placed in any orientation so long as its edges are parallel to the edges of floor . no tile should overshoot any edge of the floor . the maximum number of tiles that can be accommodated on the floor is :" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream . the ratio of the speed of the boat ( in still water ) and the stream is" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream . the ratio of the speed of the boat in still water and stream is" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a man can row upstream at 25 kmph and downstream at 55 kmph , and then find the speed of the man in still water ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: on average , machine a will produce a completed item once every 4 minutes , and machine b will produce a completed item once every 5 minutes . the number of items machine a produces in a 24 - hour period is approximately what percent greater than the number of items machine b would produce in that same period ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a certain car can travel 40 minutes on a gallon of gasoline at 60 miles per hour . if the car had started with a full tank and had 6 gallons of gasoline left in its tank at the end , then what percent of the tank was used to travel 80 miles at 60 mph ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: working together at their respective constant rates , machine a and machine b can produce 1600 units in 8 hours . working alone , machine b would complete that same output in 50 % more time . if machine a were to work on its own for an 8 - hour shift , what percent of the 1600 unit total would it produce ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: you buy a piece of land with an area of â ˆ š 1600 , how long is one side of the land plot ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: mr . loyd wants to fence his square shaped land of 120 sqft each side . if a pole is laid every 12 ft how many poles do he need ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a horse is tethered to one corner of a rectangular grassy field 42 m by 26 m with a rope 16 m long . over how much area of the field can it graze ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: given that 268 * 74 = 19832 , find the values of 2.68 * 0.74 ." ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: 265.124 x 11.98 ã · 8.001 + 32.28 = ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if a - b = 8 and a ^ 2 + b ^ 2 = 164 , find the value of ab" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a person buys an article at rs . 480 . at what price should he sell the article so as to make a profit of 24 % ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a person buys an article at rs . 400 . at what price should he sell the article so as to make a profit of 40 % ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the purchase price of an article is $ 48 . in order to include 5 % of cost for overhead and to provide $ 12 of net profit , the markup should be" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the average salary of all the workers in a workshop is $ 8000 . the average salary of 7 technicians is $ 12000 and the average salary of the rest is $ 6000 . the total number of workers in the shop is ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a building contractor employs 20 male , 15 female and 5 child workers . to a male worker he pays rs . 25 per day , to a female worker rs . 20 per day and a child worker rs . 8 per day . the average wage per day paid by the contractor is ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the average salary of all the workers in a workshop is rs . 8000 . the average salary of 8 technicians is rs . 12000 and the average salary of the rest is rs . 6000 . the total number of workers in the workshop is :" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a fruit juice company earns $ 150 per 100 gallons of apple juice sold , $ 170 per 100 gallons of guava juice sold , $ 130 per 100 gallons of grape juice sold , $ 100 per 100 gallons of orange juice . if the company manages to sell 230 gallons of apple , 210 gallons of guava , 310 gallons of grape , 270 gallons of orange on a particular day . what is the average earning of the company per 100 gallon of the juice sold ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: car dealership x , the total profit from sales increased by 30 percent over the previous years , while the number of cars sold decreased by 30 percent over the previous years . approximately what was the average percent increase in profit per car over the previous year ." ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: matt gets a $ 1000 commission on a big sale . this commission alone raises his average commission by $ 150 . if matt ' s new average commission is $ 250 , how many sales has matt made ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: find the least number must be subtracted from 62575 so that remaining number is divisible by 99 ." ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: what least number should be subtracted from 1398 so that the remainder when divided by 7 , 9 , and 11 will leave in each case the same remainder 5 ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: what is the smallest integer that is multiple of 5 , 7,9" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the average of numbers 0.34204 , 0.34203 , 0.34202 and 0.34201 is ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the average of numbers 0.64205 , 0.64203 , 0.64202 and 0.64201 is ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: find the average of first 4 multiples of 8 ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if pintu is coded as 79523 in a certain code language , how would you code lumbo in the same language ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if pintu is coded as 79523 in a certain code language , how would you code dumbo in the same language ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a random 10 - letter code is to be formed using the letters a , b , c , d , e , f , g , h , i and i ( only the “ i ” will be used twice ) . what is the probability that a code that has the two i ’ s adjacent to one another will be formed ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if the sides of a rectangle are increased by 35 % , what is the percentage increase in the area ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if each side of a square is increased by 325 % in length , find the percentage change in its area ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: find the curved surface area , if the radius of a cone is 35 m and slant height is 30 m ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: eddy and freddy start simultaneously from city a and they travel to city b and city c respectively . eddy takes 3 hours and freddy takes 4 hours to complete the journey . if the distance between city a and city b is 510 kms and city a and city c is 300 kms . what is the ratio of their average speed of travel ? ( eddy : freddy )" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a motorcyclist goes from bombay to pune , a distance of 128 kms at an average of 32 kmph speed . another man starts from bombay by car 2 ½ hours after the first , and reaches pune ½ hour earlier . what is the ratio of the speed of the motorcycle and the car ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: yesterday it took robert 3 hours to drive from city a to city b . today it took robert 2.5 hours to drive back from city в to city a along the same route . if he had saved 30 minutes in both trips , the speed for the round trip would be 80 miles per hour . what is the distance between city a and city b ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: what is the median of a set of consecutive integers if the sum of nth number from the beginning and nth number from the end is 110 ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the sum of three consecutive numbers is 102 . the greatest among these three number is :" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if the average ( arithmetic mean ) of a and b is 110 , and the average of b and c is 170 , what is the value of a − c ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: in a maths test , students were asked to find 5 / 16 of a certain number . one of the students by mistake found 5 / 6 th of that number and his answer was 150 more than the correct answer . find the number ." ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: find large number from below question the difference of two numbers is 1360 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a student was asked to find 4 / 5 of a number . but the student divided the number by 4 / 5 , thus the student got 27 more than the correct answer . find the number ." ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: mr . loyd wants to fence his square shaped land of 60 sqft each side . if a pole is laid every 12 ft how many poles do he need ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: mr . loyd wants to fence his square shaped land of 120 sqft each side . if a pole is laid every 12 ft how many poles do he need ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: mr . loyd wants to fence his square shaped land of 120 sqft each side . if a pole is laid every 10 ft how many poles do he need ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: find the principle on a certain sum of money at 5 % per annum for 3 1 / 5 years if the amount being rs . 1160 ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: find the principle on a certain sum of money at 5 % per annum for 3 1 / 5 years if the amount being rs . 1450 ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: find the principle on a certain sum of money at 5 % per annum for 2 years if the amount being rs . 1120 ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: in the coordinate plane , points ( x , 2 ) and ( 4 , y ) are on line k . if line k passes through the origin and has slope 1 / 4 , then x - y =" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: what is the smallest integer k for which 64 ^ k > 4 ^ 20 ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: abcd is a square where ab = â ˆ š 4032 . let x be a point on ab and y be a point on cd such that ax = cy . compute the area of trapezoid axyd ." ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: jill has 14 gallons of water stored in quart , half - gallon , and one gallon jars . she has equal numbers of each size jar holding the liquid . what is the total number of water filled jars ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a mixture of 70 litres of milk and water contains 10 % water . how many litres of water should be added to the mixture so that the mixture contains 12 1 / 2 % water ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a vessel of capacity 60 litres is fully filled with pure milk . nine litres of milk is removed from the vessel and replaced with water . nine litres of the solution thus formed is removed and replaced with water . find the quantity of pure milk in the final milk solution ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a fair price shopkeeper takes 10 % profit on his goods . he lost 60 % goods during theft . his loss percent is :" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a fair price shopkeeper takes 10 % profit on his goods . he lost 70 % goods during theft . his loss percent is :" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: seller selling an apple for rs . 18 , a seller loses 1 / 6 th of what it costs him . the cp of the apple is ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: in the manufacture of a certain product , 5 percent of the units produced are defective and 4 percent of the defective units are shipped for sale . what percent of the units produced are defective units that are shipped for sale ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: in the manufacture of a certain product , 8 percent of the units produced are defective and 5 percent of the defective units are shipped for sale . what percent of the units produced are defective units that are shipped for sale ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: in a factory , an average of 60 tv ' s are produced per day for the fist 25 days of the months . a few workers fell ill for the next 5 days reducing the daily avg for the month to 58 sets / day . the average production per day for day last 5 days is ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: on the independence day , bananas were be equally distributed among the children in a school so that each child would get two bananas . on the particular day 360 children were absent and as a result each child got two extra bananas . find the actual number of children in the school ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: each digit 1 through 5 is used exactly once to create a 5 - digit integer . if the 3 and the 4 can not be adjacent digits in the integer , how many 5 - digit integers are possible ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the average height of 35 boys in a class was calculated as 181 cm . it has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm . find the actual average height of the boys in the class ( round off your answer to two decimal places ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: in a group of cows and hens , the number of legs are 16 more than twice the number of heads . the number of cows is :" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: in a group of cows and chickens , the number of legs was 12 more than twice the number of heads . the number of cows was :" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: in a group of cows and hens , the number of legs are 8 more than twice the number of heads . the number of cows is :" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a “ palindromic integer ” is an integer that remains the same when its digits are reversed . so , for example , 43334 and 516615 are both examples of palindromic integers . how many 6 - digit palindromic integers are both even and greater than 500000 ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a “ palindromic integer ” is an integer that remains the same when its digits are reversed . so , for example , 43334 and 516615 are both examples of palindromic integers . how many 6 - digit palindromic integers are both even and greater than 500,000 ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: how many positive integers less than 5,000 are evenly divisible by neither 14 nor 21 ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: set a { 3 , 3,3 , 4,5 , 5,5 } has a standard deviation of 1 . what will the standard deviation be if every number in the set is multiplied by 8 ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: set a { 3 , 3,3 , 4,5 , 5,5 } has a standard deviation of 1 . what will the standard deviation be if every number in the set is multiplied by 3 ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: let s be the set of all positive integers that , when divided by 8 , have a remainder of 5 . what is the 70 th number in this set ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a cab driver 5 days income was $ 300 , $ 150 , $ 750 , $ 200 , $ 600 . then his average income is ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: find the simple interest on $ 10000 at 4 % per annum for 12 months ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a building contractor employs 20 male , 15 female and 5 child workers . to a male worker he pays rs . 25 per day , to a female worker rs . 20 per day and a child worker rs . 8 per day . the average wage per day paid by the contractor is ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: working alone , a can complete a certain kind of job in 3 hours . a and d , working together at their respective rates , can complete one of these jobs in 2 hours . in how many hours can d , working alone , complete one of these jobs ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a can do a piece of work in 10 days and b can do it in 15 days and c can do it 20 days . they started the work together and a leaves after 5 days and b leaves after 3 days from the beginning . how long will work lost ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: john and david can finish a job together in 2 hours . if john can do the job by himself in 3 hours , what percent of the job does david do ?" ] ]
99