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The image you uploaded is a bit blurry, but I can still make out some of the questions. Here’s what I was able to extract and clarify:

1. **What is the least number that leaves a remainder of 2 when divided by 3, 4, 5, and 6?**
   - This question is asking for the smallest positive integer \( x \) such that \( x \equiv 2 \pmod{3} \), \( x \equiv 2 \pmod{4} \), \( x \equiv 2 \pmod{5} \), and \( x \equiv 2 \pmod{6} \).

2. **The sum of three consecutive numbers is 87. What are the three numbers?**
   - This question involves finding three consecutive integers \( n \), \( n+1 \), and \( n+2 \) such that their sum is 87.

3. **A certain digit number is equal to the sum of the digits multiplied by 2.**
   - This question is asking to find a digit \( n \) such that the number is equal to twice the sum of its digits.

4. **Evaluate \( 9 + 5 \times 3^2 - 7 \times 2 \).**
   - This is a straightforward order of operations (PEMDAS/BODMAS) question.

5. **What are the values of \( x \) that satisfy \( 2x^2 - 5x + 2 = 0 \)?**
   - This is a quadratic equation that can be solved using the quadratic formula.

6. **Which of the following is true: \( 2^3 \times 4^2 = 2^{10} \), \( 2^5 \times 2^5 = 4^5 \), or \( 3^2 + 2^3 = 13 \)?**
   - This is a verification problem where you check which of the given statements are true.

7. **There is a number that is equal to the sum of all the numbers that divide it. Find the number.**
   - This could be referring to a perfect number, where the number is equal to the sum of its divisors, excluding the number itself.

Do you want detailed explanations for any of these problems, or do you have a specific question among them that you need help with? 

### Follow-up Questions
1. How do you calculate the least common multiple (LCM) of several numbers?
2. What is the quadratic formula and how is it derived?
3. What are perfect numbers and how are they identified?
4. How do you solve a system of linear equations?
5. How can you check the accuracy of a mathematical solution?

### Tip
When solving equations involving multiple operations, always follow the order of operations: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

What is the least number that leaves a remainder of 2 when divided by 3, 4, 5, and 6?

Learn how to find the least number that leaves a remainder of 2 when divided by 3, 4, 5, and 6. This problem covers key number theory concepts, including LCM and modulus arithmetic, and is suitable for students in Grades 7-10.

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