document.write( "Question 990538: When a certain number is divided by 2, there is a remainder of 1. When the same number is divided by 3, 4 and 5, there are remainders of 2, 3, and 4 respectively. What is the smallest positive number for which the conditions are satisfied? \n" ); document.write( "
Algebra.Com's Answer #802412 by CubeyThePenguin(3113)\"\" \"About 
You can put this solution on YOUR website!
Let the number be n.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "n = 1 mod 2
\n" ); document.write( "n = 2 mod 3
\n" ); document.write( "n = 3 mod 4
\n" ); document.write( "n = 4 mod 5\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The smallest value of n is 1 less than the LCM of 2, 3, 4, and 5, which is 59.
\n" ); document.write( "
\n" );