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Give me 20 math problems with answers.
(1) calculation:

( 1)a-(a-3b+4c)+3(-c+2b)

(2)(3x2-2xy+7)-(-4x2+5xy+6)

(3)2 x2-{-3x+6+[4x 2-(2 x2-3x+2)]]

(2) simplification

( 1)a & gt; 0,b & lt0,|6-5b|-|3a-2b|-|6b- 1|

(2) 1 & lt; a & lt3、| 1-a|+|3-a|+|a-5|

(3) When a= 1, b=-3 and c= 1, find the value of the algebraic formula a2b-[a2b-(5abc-a2c)]-5abc.

(4) When the algebraic expression -(3x+6)2+2 obtains the maximum value, find the value of the algebraic expression 5x-[-x2-(x+2)].

(5) x2-3xy=-5, xy+y2=3, and find the value of x2-2xy+y2.

Practice reference answer:

(1) calculation:

( 1)-a+9 b-7c(2)7x2-7xy+ 1(3)-4

(2) simplification

( 1)∵a & gt; 0,b & lt0

∴|6-5b|-|3a-2b|-|6b- 1|

=6-5b-(3a-2b)-( 1-6b)

= 6-5 b-3a+2 b- 1+6b =-3a+3 b+5

(2)∵ 1 & lt; A< three

∴| 1-a|+|3-a|+|a-5|=a- 1+3-a+5-a=-a+7

AB distance 100 meter. Two students, A and B, set out from AB at the same time and walked towards each other. A is 6 meters per second, B is 4 meters per second, and A's dog runs 10 meters per second. When the dog meets B, it immediately returns and runs to A, then returns and runs to B, and so on until A and B meet.

A group of students visited the factory at a speed of 5 km/h and walked for 1 hour. One student went back to school to get something. He returned to school at a speed of 7.5 km/h, and immediately caught up with the team at the same speed (not including the time to get things). As a result, he caught up with the team 2.5 kilometers away from the factory and asked about the distance from the school to the factory.

Take out 140 potatoes from a basket, and then take out the remaining 60%. At this point, the remaining potatoes are just one-sixth of the original total. How many potatoes are there in this basket?

Weiyi Temple is in a mountain forest. I wonder how many monks there are.

Three hundred and sixty-four bowls, see if they are used up.

Three people eat a bowl of rice and four people drink a bowl of soup.

Gentlemen, who will do the math? How many monks are there in the temple?

In the competition of environmental protection knowledge, the average score of a school team is 88. The average score of girls is higher than that of men and women 10%, and that of boys is higher than that of girls 10%. What is the average score of boys and girls?

A school organizes teachers and students to go on an outing. If you rent 45 cars by yourself, it's just full. If you rent only 60 buses, you can rent less 1 bus and vacate 30 seats, so you can find the number of people who take part in the spring outing.

A man walked from home to the bus stop. It took him 3 kilometers in the first hour. He looked at his watch and estimated that he would be 40 minutes late at this rate. Therefore, he walked the rest of the road at a speed of 4 kilometers per hour, but he arrived 45 minutes early and asked about the distance between his home and the bus station.

If the equation 3x+8=m+3 about x has the same solution as the equation x-2m-5=0, then x = _ _, and m = _ _.