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$$\frac{ \sqrt{5} + \sqrt{3}}{ \sqrt{5} - \sqrt{3}}$$=?
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$$x^2 = x+1$$.$$x^3$$=?
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The radius of a big circle is twice the radius of the small circle. If the area of the larger circle is 1800, what is the area of the smaller circle?
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The lengths of the three sides of the triangle are $$x^2$$,2x,2x+1. What are the possible values of x?
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x < y. Is x > 0?
1:$$x^2+y^2>0$$
2:$$x^3+y^3<0$$
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The price of one item after discount is $60, which is 75% of the original price. What is the original price of the item?
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A,B and C donated money to the disaster area. A contributed $5 less than B. B donated 3 times as much as C. The trio donated a total of $44. How many dollars did C donate?
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$$a_1=37$$,$$a_2=151$$.$$a_n=a_1+a_2+...+a_{n-1}$$,$$(n \geq 3)$$.$$a_n$$=?
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$$\sqrt{x}+\frac{1}{ \sqrt{x} }=2$$.x = ?
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$$\frac{20! 10!}{2! 5! 5!}$$can be divided by $$10^n$$. What`s the largest value of n?
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$$\frac{7x}{(-2x^2+4)^{\frac{1}{2}}}$$ isn`t a real number. What`s the range of x?
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A ball is placed in a cubic box. How many times the volume of the cube is that of the ball?
1: The ball is tangent to the six faces of the cube.
2: The radius of the ball is 10.
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Can 3n(n-1) be divided by 6?
1: n is even.
2: n-2 is even.
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The distribution of students' grades in A and B is shown in the following table. Is the average grade of class A higher than that of class B?
1: x= 3, y=4
2: The three students with the lowest scores in class A all scored 0. The two students with the lowest scores in class B all scored 0.
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The sides of the square ABCD and EFGH are 4 and 2, respectively. What is the perimeter of the four right triangles?
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A and B have seven suitcases in total. They waited for their suitcases to go through security. Security agents were required to pick two of the 15 suitcases at random for security screening. What was the probability that the selected two suitcases belong to A or B?
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$$r=u^2+v^2$$,$$s=2uv$$,$$t=u^2-v^2$$.How to express $$r^2$$ with s and t?
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One snowball on the ice lost two-thirds of its volume in one hour and two-thirds of its remaining volume in the next hour. At this point, the volume of the snowball is $$\frac{1}{5} m^3$$. What was the volume of the snowball at first?
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A six-digit code consists of four numbers and two letters. Each number comes from the numbers 1 to 9. Both letters come from 26 lowercase letters. How many different ways are there to create this code?
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In a rectangular plane coordinate system, the equation of circle O is $$x^2+y^2=10$$. How many points are there on circle O whose abscissa and ordinate are integers?
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