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question:What is the value of x for which (2008+x)^2=x^2?
answer:Expanding the left side of the equation, we have 2008^2 + 2(2008)(x) + x^2 = x^2. Simplifying, we get 2008^2 + 2(2008)(x) = 0. Factoring out 2008 from the left side, we have 2008(2008 + 2x) = 0. Since 2008 is not equal to 0, we must have 2008 + 2x = 0. Solving for x, we find x = boxed{-1004}. The answer is: -1004
question:three baseball games this week, eighty people watched the second game while 20 fewer people watched the first game than the second game. Then 15 more people watched the third than the second game. If there were a total of 200 people who watched the games last week, how many more people watched the games this week than last week?
answer:If 80 people watched the second baseball game, then 80 - 20 = 60 people watched the first game. If 15 more people watched the third game than the second game, then 80 + 15 = 95 people watched the third game. So in total, 60 + 80 + 95 = 235 people watched the games this week. If 200 people watched the games last week, then there were 235 - 200 = 35 more people who watched the games this week than last week. 35 The answer is: 35
question:f Don consumes 80 pizzas and Daria consumes 2.5 times the amount that Don does, what is the total number of pizzas that they both eat?
answer:If Don consumes 80 pizzas, then Daria consumes 2.5 * 80 = 200 pizzas. The total number of pizzas they both eat is 80 + 200 = 280 pizzas. 280 The answer is: 280
question:f a craftsman made 16 jars, which is exactly twice the number of clay pots he made, and each jar has 5 marbles while each clay pot has three times as many, how many marbles are there in total?
answer:The number of clay pots the craftsman made is 16/2 = 8 pots. Each clay pot has 3 * 5 = 15 marbles. So, there are 8 * 15 = 120 marbles in the clay pots. The number of marbles in the jars is 16 * 5 = 80 marbles. Therefore, there are a total of 120 + 80 = 200 marbles. 200 The answer is: 200