row_id int64 0 36.7k | QuestionId int64 31.8k 109k | QuestionText stringclasses 15
values | MC_Answer stringclasses 49
values | StudentExplanation stringlengths 1 586 | Category stringclasses 6
values | Misconception stringclasses 35
values |
|---|---|---|---|---|---|---|
13,500 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | If you find the relationship between 15 and 10 which is 15/10 you use that to work out the top half | True_Neither | null |
13,501 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | If you make 6 the numerator you can simplify the fraction 6/10 to 3/5 which is equivalent to 9/15 as if you multiply the 3 and 5 by 3 the fraction becomes 9/15 | True_Correct | null |
13,502 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | If you make them both 30 then 9 and a are both 18,18 divide 3=6 | True_Correct | null |
13,503 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | If you multiply 1.5 times 10 you get 15, so then you do 9 divided by 1.5 to find out what A is. | True_Correct | null |
13,504 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | If you multiply 9 by 3 you get 3x3 andd then multiply 15 by 5x3. Then, 2 times 3 equals 6 and 3 times 9 is also three times three, so 2*3=6. | True_Correct | null |
13,505 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | If you put them over /30 then they will be 18 - 30 which means that the answer must be 6/10 which also makes 18-30. | True_Neither | null |
13,506 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | If you simplified 9/15 you get 3/5 snd then you double it to make 6/10. | True_Correct | null |
13,507 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | If you simplified 9/15 you would get 3/5 and then you times the 5 by 2 so it makes 10 then do the same to the top and you get 6. | True_Correct | null |
13,508 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | If you simplify 6/10 and 9/15 into 5ths, you would get 3/5 and 3/5. 6 is the missing numerator. | True_Correct | null |
13,509 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | If you simplify 9/15 is 3/5 and if you simplify 6/10 it is also 3/5 | True_Correct | null |
13,510 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | If you simplify 9/15 it is 3/5 and 6/10 is equal to 3/5 | True_Correct | null |
13,511 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | If you simplify 9/15 it would be 3/5. If you make 3/5 larger with a denominator of 10 the numerator wold be 6. | True_Correct | null |
13,512 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | If you simplify 9/15 then times the numerator and the denominator by 2 to get 6 so 6 is the missing number | True_Correct | null |
13,513 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | If you simplify 9/15 you get 3/5. The denominator is double 5 so you double the numerator and so it is 6. | True_Correct | null |
13,514 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | If you simplify 9/15 you’ll get 3/5, if you convert 3/5 you’ll get 6/10 | True_Correct | null |
13,515 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | If you simplify it to 3/5 then you get 9/15. | True_Correct | null |
13,516 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | If you simplyfy 9/15 then you will got 6/10 | True_Neither | null |
13,517 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | If you started from 3/5 then you would just add 3 on the top and 5 at the bottom. | True_Correct | null |
13,518 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | If you take thee first term and multiply it by 3, you get the second term which is 6 divided by 3. | True_Misconception | Irrelevant |
13,519 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | If you times 9/15 by 2 then divide by 3 you get 6 and that's you answer | True_Correct | null |
13,520 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | If you times 9/15 by 2 you get 18/30 and then you divide it by 6 to get 3/5 and times that by 2. | True_Correct | null |
13,521 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | If youu half the number 3/5, then 3 x 3 = 9/15. | True_Neither | null |
13,522 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | In the 3 times table the number before nine is six so it will be 6/10 | True_Misconception | Irrelevant |
13,523 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | In this question you go from 2/3 to 3/3 meaning you add a third. If 9 is 3/3 then 3 is 1/3 and if you double that it gives you the answer of 6. | True_Correct | null |
13,524 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | It can’t be 9 because the other numerator is 9, and it cant’ be 4 because 4 is smaller then 1/2, so it’s 6. | True_Neither | null |
13,525 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | It can’t be 9 because the other numerator is 9, and it can’t be 4 because 4 is smaller then 1/2, so it’s 6. | True_Neither | null |
13,526 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | It goes up in fives so A has to be 6. | True_Misconception | Irrelevant |
13,527 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | It is c because 9x2 =18 and a=6 because 6x3=18 and also 15x2=30 and 10x3=30 | True_Correct | null |
13,528 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | It is 6 because 6/10 is equivalent to 9/15 | True_Correct | null |
13,529 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | It is 6 because, the cross sum is A x 15, 10 x9.
x = 10x9 / 15 | True_Correct | null |
13,530 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | It is 6/10 as they are equal. | True_Correct | null |
13,531 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | It is C as 9/15 has to turn into a fraction with a denominator of 5 before having it of 10.To do this we have to divide both the numerator and denominator by 3 which makes 3/5 now x both the numerator and denominator by 2 and you get 6/10. | True_Correct | null |
13,532 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | It is C because nine fifteens are 3/5 and that is 6/10 | True_Correct | null |
13,533 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | It is C because if you simplify it to the lowest form then times that number by 2 you get 6/10 | True_Correct | null |
13,534 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | It is C because you divide it by 3 and then x it by 2 | True_Correct | null |
13,535 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | It is C because you have to simplify 9/15 to give you 3/5. Then you think what number out of the numbers that you are given can simplify to the number 3 and 6 can, so the answer is C. | True_Correct | null |
13,536 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | It is a pattern as the top row goes up in 3s and the bottom row goes up in 5s. | True_Correct | null |
13,537 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | It is c as 9/15=3 and 3/5 and 3/5=6/10 | True_Correct | null |
13,538 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | It is c because 15 and 9 are in the 3 times table and if you divide the numerator and the denominator by 3 it is 3/5 and 10/5=2. 3x2=6. | True_Correct | null |
13,539 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | It is c because in its simplest form it is 3/5 and 5 times two is 10 and 3 times two is 6. | True_Correct | null |
13,540 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | It is in the 2x tables | True_Neither | null |
13,541 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | It is in the same times table | True_Misconception | Irrelevant |
13,542 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | It is six because to get from 10 to 15, you divide by two and times by three. You can do the inverse to the numerator to get the value of A.
Answer: 6 | True_Correct | null |
13,543 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | It is the biggest number. And the second numerator is 9. | True_Neither | null |
13,544 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | It is the only one that makes sense | True_Neither | null |
13,545 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | It is this because the common denominator is 5 so 9/15 =3/5 =6/10. | True_Correct | null |
13,546 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | It's C because 9/15 is equal to 6/10. | True_Correct | null |
13,547 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | It's in a pattern of 5. S | True_Neither | null |
13,548 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Its b beacause you add 9*4= 15 | True_Misconception | Additive |
13,549 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Its c because 10 plus 5 is 15 and 6 plus 3 is 9. | True_Neither | null |
13,550 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Its hard to explain but I think its C because 3 add 6 is nine | True_Neither | null |
13,551 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | It’s 6 because I tried every number and 6 was the one which worked. | True_Neither | null |
13,552 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | It’s 6/10 because 6 times 3 is 18 and 10 times 3 is 30. Then you do simplify 18/30 to 9/15. | True_Correct | null |
13,553 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | It’s c because if you have that and then make it 5 then you can make it 9 | True_Neither | null |
13,554 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | I’m just guessing because I didn’t have any time left | True_Neither | null |
13,555 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | LCM of 10 and 15 is 30
so it would be 3A / 30 = 18/30
simplify and divide by 3 = A/10 = 6/10
A = 6 | True_Correct | null |
13,556 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | LCM of 10 and 15 is 30 so 9/15=18/30.30/10=3 so 18/3=6.9/15=6/10. | True_Correct | null |
13,557 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Lcm of 10 and 15 is 30. 9 x 2 = 18 | True_Correct | null |
13,558 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Let's mske them both into 18/30 then divide it. | True_Neither | null |
13,559 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Look at the other one and then see which ones are similar | True_Neither | null |
13,560 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Lowest common denominator is 5, then multiplied 3 by 2 which equals 6 | True_Correct | null |
13,561 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Make 9/15 then make it 90/150 then divide 90 by 15 then that is A | True_Correct | null |
13,562 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Matched the denominator to 30 which meant 3a = 18. That meant 18divide by 3 is 6 | True_Correct | null |
13,563 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Miss jones helped me with this. | True_Neither | null |
13,564 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | My method of completing this question was by doing 1.5 x 10 and as any number x 10 will move a column to it's left, giving me 15 so then I knew that the numerator would be 9 divided by 1.5 which then gave me 6 (because 1.5 goes into 9, 6 times.) Then lastly to check my answer I did 6 x 1.5 which gave me 9, therefore the answer is 6 | True_Correct | null |
13,565 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Nine fifteenth is three fifth if you convert the denominator to ten the numerator has to be six | True_Correct | null |
13,566 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Nine fifteenths equal three fifths and six tenths equal three fifths as well | True_Correct | null |
13,567 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Nine fifths is equal to three fifths then I turned that into six tenths | True_Correct | null |
13,568 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Remove a third of the numerator and you get 6 | True_Neither | null |
13,569 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Simplify the fraction then find the fraction of 10 | True_Neither | null |
13,570 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Since 2 thirdss of 15 is 10, and 2 three of 9, is 6. | True_Correct | null |
13,571 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Since 9 - 3 = 6 and so it must be this one! | True_Misconception | Additive |
13,572 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Since the bottom is 10 then on the next fraction its 15 so its like 5 x 3 since I understand that its 3/5 it means they both keep multiplying so the answer has to be 6. | True_Correct | null |
13,573 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Since three thirds of 15 is nine and three quarters is six so it’s equal to six. | True_Neither | null |
13,574 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Since to get to fifteen from ten you have to divide by two then times by three. For the numerator I am going to do the inverse which is to say I will do divided by 3 times twice which will give me six. | True_Correct | null |
13,575 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Six because it is the only sensible answer . Because five is half and nine is nearly a whole , so six is the only answer , so its C. | True_Neither | null |
13,576 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Six tenths is equivalent 9 15 ths | True_Neither | null |
13,577 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | So A must be 2/3 of 9 because 2 / 3 or 9 is 6. | True_Neither | null |
13,578 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | So I divide 9 fifteenths into 3 fifths and then time see it to get to ten and i got 6 tenths so the top would be ten . | True_Correct | null |
13,579 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | So I had shrunk the 9 / 15's first and that make 3 / 5 so then I had times it by 2 which make 6 / 9 and times again makes 9 / 15. That's why I think it is C | True_Correct | null |
13,580 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | So the answer must be 6/10. | True_Neither | null |
13,581 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | So you add 5 to 10 to get to 15 and then you takeaway 3 from 9 which is 6. | True_Misconception | Additive |
13,582 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Sort of guessing sort of not. Hard to explain | True_Neither | null |
13,583 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | That is the closed to the (9) | True_Neither | null |
13,584 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | The LCM is 30 so you times 10 by 3 to get thirty so both numerators must be 18. 18 divided by 3 is 6 | True_Correct | null |
13,585 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | The answer is 6 as the difference is 6 | True_Neither | null |
13,586 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | The answer is 6 because 6 tenths is equivalent to 9 fifteenths. | True_Neither | null |
13,587 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | The answer is C because 6/10 simplified is 3/5 and 9/15 simplified is 3/5 which means they are equivalent. | True_Correct | null |
13,588 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | The answer is C because 9/15 is equal to 3/5 which is equal to 6/10. | True_Correct | null |
13,589 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | The answer is C because it a little bit bigger than the half | True_Neither | null |
13,590 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | The answer is C because it is slightly bigger than the half. | True_Neither | null |
13,591 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | The answer is C because when I simplified both the fractions,the denominators became 5.9/15 will become 3/5.So,the other fraction must be 3/5 because they are equivalent.When you change the denominators to 10 and 15,you change the numerators to 6 and 9.The fractions are 6/10 and 9/15.C is 6.So,the answer is 6 | True_Correct | null |
13,592 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | The answer should be C because if you convert both denominators to 30 then for 9/15 you get 18/30 and for 6/10 you get 18/30 so in conclusion the answer should be C. | True_Correct | null |
13,593 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | The can simp,ify both of those numbers to 3/5. | True_Correct | null |
13,594 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | The common denominator is 30 and 6 times 3 is 18 | True_Correct | null |
13,595 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | The common denominator is 30. 9/15 expanded is 18/30. As A is over 10, we have to simplify 18/30 by 3, making 6/10. This means A=6. | True_Correct | null |
13,596 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | The common multiple of 10 and 15 is 30. 2*15=30 3*10=30 9/15=18/30 A =18/3=6 | True_Correct | null |
13,597 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | The denominators seem to be following the 5 times table so if this was a pattern, the fraction before would be 35 and the numerators would follow the 3 times so the middle fraction should be 6/10. | True_Neither | null |
13,598 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | The denominators seem to be following the 5 times table so if this was a pattern, the fraction before would be ⅗ and the numerators seem to be following the 3 times table. Ergo, the middle fraction should be 6/10. | True_Misconception | Irrelevant |
13,599 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | The first fraction is two thirds of the second fraction so you divide 9 by 3 then multiply it by 2 give A=6 | True_Correct | null |
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