Lots-of-LoRAs/task1726_mathqa_correct_answer_generation huggingface dataset:
Definition: The task is to generate the correct answer for a given math problem.

Positive Example 1 -
Input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625

Positive Example 2 -
Input: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?
Output: 31 / 36

Negative Example 1 -
Input: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?
Output: 9

Negative Example 2 -
Input: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to
Output: 2

Now complete the following example -
Input: 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 ?
Output: 


Output: 72
Definition: The task is to generate the correct answer for a given math problem.

Positive Example 1 -
Input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625

Positive Example 2 -
Input: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?
Output: 31 / 36

Negative Example 1 -
Input: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?
Output: 9

Negative Example 2 -
Input: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to
Output: 2

Now complete the following example -
Input: Problem: two positive integers differ by 4 , and sum of their reciprocals is 2 . then one of the numbers is
Output: 


Output: 2
Definition: The task is to generate the correct answer for a given math problem.

Positive Example 1 -
Input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625

Positive Example 2 -
Input: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?
Output: 31 / 36

Negative Example 1 -
Input: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?
Output: 9

Negative Example 2 -
Input: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to
Output: 2

Now complete the following example -
Input: Problem: 45 % of x is greater than 1 / 3 rd of x by 110 . what is x ?
Output: 


Output: 94
Definition: The task is to generate the correct answer for a given math problem.

Positive Example 1 -
Input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625

Positive Example 2 -
Input: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?
Output: 31 / 36

Negative Example 1 -
Input: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?
Output: 9

Negative Example 2 -
Input: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to
Output: 2

Now complete the following example -
Input: Problem: a 440 - liter solution of kola is made from 88 % water , 8 % concentrated kola and the rest is made from sugar . if 3.2 liters of sugar , 10 liter of water and 6.8 liters of concentrated kola were added to the solution , what percent of the solution is made from sugar ?
Output: 


Output: 4.52 % .
Definition: The task is to generate the correct answer for a given math problem.

Positive Example 1 -
Input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625

Positive Example 2 -
Input: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?
Output: 31 / 36

Negative Example 1 -
Input: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?
Output: 9

Negative Example 2 -
Input: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to
Output: 2

Now complete the following example -
Input: Problem: a bullet train 160 m long is running with a speed of 70 kmph . in what time will it pass a man who is running at 8 kmph in the direction opposite to that in which the bullet train is going ?
Output: 


Output: 7.38 sec
Definition: The task is to generate the correct answer for a given math problem.

Positive Example 1 -
Input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625

Positive Example 2 -
Input: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?
Output: 31 / 36

Negative Example 1 -
Input: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?
Output: 9

Negative Example 2 -
Input: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to
Output: 2

Now complete the following example -
Input: Problem: a palindrome is a number that reads the same forward and backward , such as 343 . how many odd , 8 - digit numbers are palindromes ?
Output: 


Output: 5000
Definition: The task is to generate the correct answer for a given math problem.

Positive Example 1 -
Input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625

Positive Example 2 -
Input: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?
Output: 31 / 36

Negative Example 1 -
Input: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?
Output: 9

Negative Example 2 -
Input: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to
Output: 2

Now complete the following example -
Input: Problem: what quantity of water should taken out to concentrate 21 liters of 40 % acidic liquid to 60 % acidic liquid ?
Output: 


Output: 7 liters
Definition: The task is to generate the correct answer for a given math problem.

Positive Example 1 -
Input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625

Positive Example 2 -
Input: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?
Output: 31 / 36

Negative Example 1 -
Input: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?
Output: 9

Negative Example 2 -
Input: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to
Output: 2

Now complete the following example -
Input: Problem: julie put half of her savings in a savings account that pays an annual simple interest and half in a savings account that pays an annual compound interest . after two years she earned $ 120 and $ 122 from the simple interest account and the compound interest account respectively . if the interest rates for both accounts were the same , what was the amount of julie ' s initial savings ?
Output: 


Output: 360
Definition: The task is to generate the correct answer for a given math problem.

Positive Example 1 -
Input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625

Positive Example 2 -
Input: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?
Output: 31 / 36

Negative Example 1 -
Input: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?
Output: 9

Negative Example 2 -
Input: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to
Output: 2

Now complete the following example -
Input: Problem: if k and w are the dimensions of a rectangle that has area 48 , and if k and w are integers such that k > w , what is the total number of possible values of k ?
Output: 


Output: four
Definition: The task is to generate the correct answer for a given math problem.

Positive Example 1 -
Input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625

Positive Example 2 -
Input: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?
Output: 31 / 36

Negative Example 1 -
Input: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?
Output: 9

Negative Example 2 -
Input: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to
Output: 2

Now complete the following example -
Input: Problem: 30 pens and 75 pencils were purchased for 750 . if the average price of a pencil was 2.00 , find the average price of a pen .
Output: 


Output: 20
Definition: The task is to generate the correct answer for a given math problem.

Positive Example 1 -
Input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625

Positive Example 2 -
Input: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?
Output: 31 / 36

Negative Example 1 -
Input: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?
Output: 9

Negative Example 2 -
Input: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to
Output: 2

Now complete the following example -
Input: 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 ?
Output: 


Output: 7
Definition: The task is to generate the correct answer for a given math problem.

Positive Example 1 -
Input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625

Positive Example 2 -
Input: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?
Output: 31 / 36

Negative Example 1 -
Input: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?
Output: 9

Negative Example 2 -
Input: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to
Output: 2

Now complete the following example -
Input: Problem: what is the sum of the digits of integer k , if k = ( 10 ^ 45 - 46 )
Output: 


Output: 396
Definition: The task is to generate the correct answer for a given math problem.

Positive Example 1 -
Input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625

Positive Example 2 -
Input: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?
Output: 31 / 36

Negative Example 1 -
Input: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?
Output: 9

Negative Example 2 -
Input: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to
Output: 2

Now complete the following example -
Input: Problem: a bag of potatoes weighs 50 lbs divided by half of its weight . how much does the bag of potatoes weigh ?
Output: 


Output: 10 lb
Definition: The task is to generate the correct answer for a given math problem.

Positive Example 1 -
Input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625

Positive Example 2 -
Input: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?
Output: 31 / 36

Negative Example 1 -
Input: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?
Output: 9

Negative Example 2 -
Input: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to
Output: 2

Now complete the following example -
Input: Problem: in the forestside summer camp there are 50 children . 90 % of the children are boys and the rest are girls . the camp administrator decided to make the number of girls only 5 % of the total number of children in the camp . how many more boys must she bring to make that happen ?
Output: 


Output: 50 .
Definition: The task is to generate the correct answer for a given math problem.

Positive Example 1 -
Input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625

Positive Example 2 -
Input: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?
Output: 31 / 36

Negative Example 1 -
Input: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?
Output: 9

Negative Example 2 -
Input: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to
Output: 2

Now complete the following example -
Input: Problem: a store reduced the price of all items in the store by 10 % on the first day and by another 10 % on the second day . the price of items on the second day was what percent of the price before the first reduction took place ?
Output: 


Output: 81.0
Definition: The task is to generate the correct answer for a given math problem.

Positive Example 1 -
Input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625

Positive Example 2 -
Input: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?
Output: 31 / 36

Negative Example 1 -
Input: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?
Output: 9

Negative Example 2 -
Input: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to
Output: 2

Now complete the following example -
Input: Problem: two kinds of vodka are mixed in the ratio 1 : 2 and 2 : 1 and they are sold fetching the profit 10 % and 10 % respectively . if the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4 / 3 and 5 / 3 times respectively , then the mixture will fetch the profit of
Output: 


Output: 10 %
Definition: The task is to generate the correct answer for a given math problem.

Positive Example 1 -
Input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625

Positive Example 2 -
Input: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?
Output: 31 / 36

Negative Example 1 -
Input: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?
Output: 9

Negative Example 2 -
Input: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to
Output: 2

Now complete the following example -
Input: 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 ?
Output: 


Output: $ 2000
Definition: The task is to generate the correct answer for a given math problem.

Positive Example 1 -
Input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625

Positive Example 2 -
Input: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?
Output: 31 / 36

Negative Example 1 -
Input: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?
Output: 9

Negative Example 2 -
Input: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to
Output: 2

Now complete the following example -
Input: Problem: in a certain apartment building , there are one - bedroom and two - bedroom apartments . the rental prices of the apartment depend on a number of factors , but on average , two - bedroom apartments have higher rental prices than do one - bedroom apartments . let r be the average rental price for all apartments in the building . if r is $ 5,600 higher than the average rental price for all one - bedroom apartments , and if the average rental price for all two - bedroom apartments is $ 10,400 higher that r , then what percentage of apartments in the building are two - bedroom apartments ?
Output: 


Output: 35 %
Definition: The task is to generate the correct answer for a given math problem.

Positive Example 1 -
Input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625

Positive Example 2 -
Input: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?
Output: 31 / 36

Negative Example 1 -
Input: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?
Output: 9

Negative Example 2 -
Input: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to
Output: 2

Now complete the following example -
Input: Problem: 3 friends had dinner at a restaurant . when the bill was received , akshitha paid 3 / 4 as much as veena paid and veena paid 1 / 2 as much as lasya paid . what fraction of the bill did veena pay ?
Output: 


Output: 4 / 15
Definition: The task is to generate the correct answer for a given math problem.

Positive Example 1 -
Input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625

Positive Example 2 -
Input: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?
Output: 31 / 36

Negative Example 1 -
Input: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?
Output: 9

Negative Example 2 -
Input: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to
Output: 2

Now complete the following example -
Input: Problem: two pipes can fill the cistern in 10 hr and 12 hr respectively , while the third empty it in 30 hr . if all pipes are opened simultaneously , then the cistern will be filled in
Output: 


Output: 6.67 hr
Definition: The task is to generate the correct answer for a given math problem.

Positive Example 1 -
Input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625

Positive Example 2 -
Input: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?
Output: 31 / 36

Negative Example 1 -
Input: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?
Output: 9

Negative Example 2 -
Input: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to
Output: 2

Now complete the following example -
Input: 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 :
Output: 


Output: 80
Definition: The task is to generate the correct answer for a given math problem.

Positive Example 1 -
Input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625

Positive Example 2 -
Input: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?
Output: 31 / 36

Negative Example 1 -
Input: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?
Output: 9

Negative Example 2 -
Input: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to
Output: 2

Now complete the following example -
Input: Problem: a sum fetched a total simple interest of $ 4196.25 at the rate of 9 p . c . p . a . in 5 years . what is the sum ?
Output: 


Output: $ 892
Definition: The task is to generate the correct answer for a given math problem.

Positive Example 1 -
Input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625

Positive Example 2 -
Input: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?
Output: 31 / 36

Negative Example 1 -
Input: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?
Output: 9

Negative Example 2 -
Input: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to
Output: 2

Now complete the following example -
Input: Problem: an inspector rejects 0.05 % of the meters as defective . how many will he examine to reject 4 ?
Output: 


Output: 8000
Definition: The task is to generate the correct answer for a given math problem.

Positive Example 1 -
Input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625

Positive Example 2 -
Input: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?
Output: 31 / 36

Negative Example 1 -
Input: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?
Output: 9

Negative Example 2 -
Input: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to
Output: 2

Now complete the following example -
Input: Problem: let c be defined as the sum of all prime numbers between 0 and 32 . what is c / 3
Output: 


Output: 53.