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 |
|---|---|---|---|---|---|---|
17,000 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | If it is a whole number times by s,you will end up with an umproper fraction. | True_Neither | null |
17,001 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | If the answerr is 10 then 3 goes into 10, and there is one left. | True_Correct | null |
17,002 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | If the demoninator is 10, then 2*5 = 10 and if it is multiples of 3, so 3 times 5 equals 10. | True_Neither | null |
17,003 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | If the denominator is 5, then 2x5=10, and if it's 2, then 3x15 =10. | True_Neither | null |
17,004 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | If we take the common denominator, which is 15, then it will be 1o/15th of that number. So if you multiply 10 times 5, it comes out to 50-15 = 3x15 and finally 5 goes into 50 three times with a remainder of 5. | True_Neither | null |
17,005 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | If you add up all the numbers from 1 to 10, then 10 times 5 = 30. Then 3x1=3 and we get 4 which is equal to 3, so in this example, 3 1/3 is mixed number since 30, 2, 7, 11, 13, 17 and 24 are not even numbers. | True_Neither | null |
17,006 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | If you answer is 10/3 then it's a top heavy fraction so change it to 3 1/3 | True_Correct | null |
17,007 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | If you do 2 x 5, which is 10, then it is 10 3 or 3 1/3. | True_Correct | null |
17,008 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | If you doubled 5 then it would be 2 x 5, and since we can't have the numerator bigger than the denominator, that means 10 divided by 3 is 3, so this will give us 3 and 1/3. | True_Correct | null |
17,009 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | If you just x the top number by 5 then you will get an improper fraction. | True_Correct | null |
17,010 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | If you make the 5 x 1 then 5x2 = 10 3 times what is left of your original number, which was 3, meaning that the new number was half as large. So it will be 2 * 9 + 8 = 23. | True_Neither | null |
17,011 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | If you multiply 10 by 3 then the answer is 10, but if you make it into a mixed number, like 3, 1 and 1, it will be 1/3. | True_Neither | null |
17,012 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | If you multiply 3 by 10, the answer will be 3, and if you divide 10 times 3, then it is 1, so you would have 1 left over, which in turn is 3, so your final answer should be 3. | True_Neither | null |
17,013 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | If you multiply 5 times a 1 then it always has one underneath so you just do 3 and 1/3. | True_Correct | null |
17,014 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | If you multiply it only times the top, then because it is then top heavy you can convert it into a mixed number. | True_Correct | null |
17,015 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | If you multiply the numerator by 5, then it will give you 10, but that cannott be 3 1/3. | True_Neither | null |
17,016 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | If you multiply two times five, it is equal to ten thirds or threee and one third. | True_Correct | null |
17,017 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | If you take 5 over 1 and then times it by 3, you get 10 over 3 but this is an improper fraction so as a proper fraction it would be three wholes and one third. | True_Correct | null |
17,018 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | If you take the whole number and multiply it by 5/1, then you get 2 divided by 5, which is 3 and 1/3. So change the mixed numbers to improper fractions which will leave me with three and a half | True_Neither | null |
17,019 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | If you times 2 by 5 it is 10/3 but when you simplify it it equals 3 1/3. | True_Correct | null |
17,020 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | If you times 2 by 5 it will equal 10, then put 3 into 10 and that is three holes and one remander so 3, 13. | True_Correct | null |
17,021 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | If you times them, then it comes out to this. | True_Neither | null |
17,022 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | In order to do this, you will have to turn the 5 into a 1 and then times 2 3s and 5 1s together making 10 3d. Then, using your understanding of addition and subtraction as well as working out how many 3's there are in one whole number (that is three), divide that by 3, then multiply each sidee by 2, then add both sides again until it comes to an even third (3). Finally, simplify this process further by creating two more simple ones: create three 3rds with 0 on them, plus another tri-tip which represents half of what we started with and the other final 1/32nd triplet equals three. | True_Correct | null |
17,023 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | In this example 2 1/3 x 5 is 10/3, which means when you mix it with other numbers, the result becomes 3 1/3. | True_Neither | null |
17,024 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | In this problem, we use 2x5 and 3x1 to find out what the number is. Here it comes down to 10 times 3, or 3 into 10, which gives us a remainder of 1, meaning that our answer needs to be 31 1/3. | True_Correct | null |
17,025 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | It is 10 1/3 and that in a mixed number is 3 1/3. | True_Correct | null |
17,026 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | It will be 3 and 1 / 2 becausr (2 x 5 = 10 and 3 X 1 is 3) so it's 1 to 10. | True_Correct | null |
17,027 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | It's like this: if you timed 2 third by 5 it would be 11/3 and then 3 plus 1 is equal to 3. | True_Correct | null |
17,028 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | Let's say 3 stays putt and 2 x 5 is 10, then 10 = 3, and 1/3. We can see that 1 + (2 * 3 = 13) equals 13. | True_Neither | null |
17,029 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | Only the numerator would I multiply. | True_Correct | null |
17,030 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | Put 5 over 1 then you times them by eachover | True_Correct | null |
17,031 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | Since 2 / 3 times 5 = 10 1/3, then it is D. | True_Correct | null |
17,032 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | Since the denominator stays the same you end up with 10/3 but as a mixed number it would be 3 1/3. | True_Correct | null |
17,033 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | Since when you draw out 5 sets of 2/3 then you can see that the thirds add up to make 3 wholes, with 1 thirdd left over. | True_Correct | null |
17,034 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | So 2x5 is 10, so the denominator stays the same, which means 10/3. Then you simplify it and it comes down to 3 1/3 because that's how much smaller it gets when multiplied by 2. | True_Correct | null |
17,035 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | So first I did 2 x 5 which is 10, then I do 3 X 1 which in turn is 3, and all of that equaled 10 overr 3, but since it's an improper fraction, the way I wrote it out was 10. | True_Correct | null |
17,036 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | So in this case we will use the product of 2x5=10 and since there is a denominator of 3, you do not need to multiply that by 3 because it will be 10/3 = 3 1/3. | True_Correct | null |
17,037 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | So the denominator would be 10, and 10 / 3 as mixed number is 1 1/3. | True_Neither | null |
17,038 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | So the final answerr is 9. | True_Neither | null |
17,039 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | So you have to see how many times 3 goes into 10 =3r1 so it would be 3 whole ones and I keft over, which is the numerator. | True_Correct | null |
17,040 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | So your demonator is 3 times 2 by 5 which is 10/33. | True_Neither | null |
17,041 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | The answer is 10 times 3 which is rquivalant to three and 1/3. | True_Correct | null |
17,042 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | The answer is 10/3 and its 3 1/3 as a mixed number | True_Correct | null |
17,043 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | The answer is 3 1/3. | True_Neither | null |
17,044 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | The answer is 3 and 1 / 2. | True_Neither | null |
17,045 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | The answer is D because when you times the numerator by the whole number, which can be changed to 31,3, it comes out as 31. | True_Neither | null |
17,046 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | The answerr is d because I did 2x5 which is 10, then changed that into a mixed number which equals 3 and 1/3. | True_Correct | null |
17,047 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | The number 5 is realky 5/1 so you do 2/3 x 5/ 1 = 10/3 which is 3 1/3. | True_Correct | null |
17,048 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | The original answer is 10/3 but I havr simplified it to 3 and1/3. | True_Correct | null |
17,049 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | The question is equal to 10 / 3 which would be hard for most people to understand. So I simplified it to 3 1/3 and that should givr you the answer. | True_Correct | null |
17,050 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | The reason is that first you put the 5 over 1then do each sum differently 3x3 =3, then 4*5=15 and finally 2 * 10 +2 = 13. In this case all three factors go into 10, giving 3 units with a remainder of 1. | True_Neither | null |
17,051 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | The reason this is confusing you is because the math was done first and foremost in decimal form, then multiplied by 2 / 3, which gave us 10/3. This has been converted into another format, so that we can see it as 3 1/3. | True_Correct | null |
17,052 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | Then you do 2 x 5 = 10, then 3 times that and theree is 1 remainder so the answer is 33. | True_Correct | null |
17,053 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | Then you get the following answer when all is said and done. | True_Neither | null |
17,054 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | Then you have to multiply that by 5 times 2 and then divide it by 3 because five times 1 =3. | True_Neither | null |
17,055 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | Then you multiply the denominator by 5 and keep the numerator the same. | True_Misconception | Inversion |
17,056 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | There are 3 wholes and 1 third. | True_Neither | null |
17,057 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | There are mixed number of people who do not agree. | True_Neither | null |
17,058 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | This is because 2 times 5 = 10, and 10 1/3 as a mixed number is 3 1. | True_Correct | null |
17,059 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | This is because the answer is ten thirds which is easy to understand. | True_Correct | null |
17,060 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | This is because you change the 5 to 5/1 and then times them together but I changed it before. | True_Correct | null |
17,061 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | This is because youu should do 1/3 of your workout and then double it. | True_Neither | null |
17,062 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | This is going to be over 1 so youu have to do this 2 x 5/1= 10 1/3 = 3 1/3. | True_Correct | null |
17,063 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | This is my answer. | True_Neither | null |
17,064 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | Thiss is correct because 2/x 5/1 =10/3. We put a 1 under the 5, this makes it sexy, then we turn that into 3 and 1/3; | True_Correct | null |
17,065 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | Thr answer to this is 10/3 but we have to make the number into a mixed number so it would be 3 1/3. | True_Correct | null |
17,066 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | Two times five gives you the answer. | True_Neither | null |
17,067 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | Two times five is 10, and three divided by 3 is 3. And a third. | True_Correct | null |
17,068 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | Using the elimination method, it is apparent that 5 = 5/1 and then 4 * 1/5 = 10/3. Thus, 3 1/3 must be correct because 3 (1 + 1) times 2 equals 5. | True_Correct | null |
17,069 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | We know that 2x5=10 and 3x1=3, so it would be 10/3 which would equal 3 and 1/3. | True_Correct | null |
17,070 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | What i did first was change 5 into 5/1 so then he could do 2/3x5/1=10/3. this is an improper fraction so before you put it in your answer book make sure that the whole number is written as 3 1/3. | True_Correct | null |
17,071 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | When I multiply the numerator by 5 it comes out to be mixed number. Then when i converted that into whole numbers I got my answer. | True_Correct | null |
17,072 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | When you do 3s into 10, which is three remainder one, then you will get the answer of 10/3. | True_Correct | null |
17,073 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | When you do this division 10 tumes 3 equals 30 and if you simplify it, that is what you get. | True_Neither | null |
17,074 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | When you multiply 5 by 2 it is 10, then divide that number by 3 to find out how much of a third you have left. So your answer is three and one-third, because there is 1/3 left after the first part. | True_Correct | null |
17,075 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | When you multiply 5 over 1, the result will be 2x5=10 and 3x1 =3, which is what you need to put into a mixed number. So, this would be 3 and 1/3. | True_Correct | null |
17,076 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | When you times the numerator which is 10 then it becomess a mixed number. | True_Neither | null |
17,077 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | You do 2 x 5, then 3 X 1 and that gives you the mixed number. | True_Correct | null |
17,078 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | You eat two thirds of a pizza five times and you would have eaten three and ohter thirdd of pizza. | True_Correct | null |
17,079 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | You have to convert it into a mixed number which is 3 1/3 because 2 x 5 = 10. | True_Correct | null |
17,080 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | You have to make it a mixrd number which would be 3 and 1/3. | True_Correct | null |
17,081 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | You have to put five over one and then multiply them, which is going to create 10 over three. | True_Correct | null |
17,082 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | You need to add 1 before the 5 and then you do 2 x 5, which is 10, and 3 X 1, which means it's an improper fraction. The answer would be three wholes and one third, not two whole thirds as stated. | True_Correct | null |
17,083 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | You put a 1 underneath the 5 and then times it together to get 10/3 which you then simplify to 3 1/3. | True_Correct | null |
17,084 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | You times the top to get 10/3 and then you make a whole number in fraction which is 3 and 1/3. | True_Correct | null |
17,085 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | You're working it out and then you turn that into a mixed number. | True_Neither | null |
17,086 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | Youu can think of it this way, when you multiply a fraction the nominator will always be multiplied. | True_Correct | null |
17,087 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | `5 x 2 gets you ten and the denominator stays the same which means you end up with 10/3 but as a mixed number it would be 3 1/3 | True_Correct | null |
17,088 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | after doing 10 over 3, i had to divide it by 3 to get three and a third. | True_Correct | null |
17,089 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | again i am not suree of the answer. | True_Neither | null |
17,090 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | again im not sure on the answer | True_Neither | null |
17,091 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | and 1 / 3 is the same as 3, this simplifies to 10/3. | True_Correct | null |
17,092 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | and 2 x 5 = 9 so it would be 10/3 which is 3 wholes and 1/3. | True_Neither | null |
17,093 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | and 5 times 2 is 10, and so it's 3 and 1 / 2. | True_Correct | null |
17,094 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | and because 2 times 5 = 10, so the fraction is now 10 over 3 which simplifiess to 3 and 1 over 3. | True_Correct | null |
17,095 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | and changed the numerator which is 10 1/3. then i did 2 x 5 and kept the denominator but change the result to 3 1 / 2. | True_Correct | null |
17,096 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | and the result is 10 because 2 times 5 is 10, and 1 times 3 is 3. so, it gives you mixed number when multiplied by 10. | True_Correct | null |
17,097 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | and then multiply 2 by 5 timess 20 and 3 times 1 is 3, so it is 10/3. you can change that to 3 1/3 | True_Neither | null |
17,098 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | and then you multiply the top number by 2, which is 3, and finally the bottom number, which this time is 1, to get 10/3 which equals 3 and a 1/3. | True_Neither | null |
17,099 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | any whole number will be always over 1 when making it in to a fraction then we multiplied the numerator and the denominator | True_Neither | null |
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