For each of the following problems, write a query to solve the problem. Values should include just the digits 8, 1, 4, 7, 3 and each digit should be used at most once in the solution of each puzzle. Your query should express the problem as stated, i.e. you should not first solve the problem yourself and then have the query simply return the answer.

(a) 
The product of a 1digit number and a 2digit number is 284. 

(b) 
The product of two 2digit numbers plus a 1digit number is 3,355. 

(c) 
The product of a 3digit number and a 1digit number minus a 1 digit number is 1,137. 

(d) 
The product of a 2digit number and a 3digit number is between 13,000 and 14,000. 

(e) 
When a 3digit number is divided by a 2digit number the result is between 4 and 6. 
