Math, C# - rextester

Math

Language: Layout:

//Rextester.Program.Main is the entry point for your code. Don't change it.
//Compiler version 4.0.30319.17929 for Microsoft (R) .NET Framework 4.5

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text.RegularExpressions;
using ShuffleExtension;

namespace Rextester
{

public class Program {
        
        public int ratio1;
        public int ratio2;
        public int ratio3;
        public int num1, num2, num3;
        
        public static void Add(double num1, double num2 ) {
            
            double result = num1 + num2;
            Console.WriteLine(Convert.ToDouble(result));
            
        
        }   
        
        public static void Sub(double num1, double num2 ) {
            
            double result = num1 - num2;
            Console.WriteLine(Convert.ToDouble(result));
            
        
        }
        
        public static void Mult(double num1, double num2 ) {
            
            double result = num1 * num2;
            Console.WriteLine(Convert.ToDouble(result));
            
        
        }   
        
        public static void Div(double num1, double num2 ) {
            
            if(num2==0) {
                Console.WriteLine(num1+"/"+num2+" = "+"Infinity");
            }
            
            else {
                double result = num1 * (1/num2);
                Console.WriteLine(num1+"/"+num2+" = "+Convert.ToDouble(result));
            }
            
        
        }
        
        public static double Fraction(double num, double denom) {
            
            
            double result = num*(1/denom);
            return result;

}
        
        public static void showFraction(double num, double denom) {
            
            
            Console.WriteLine(Fraction(num,denom));
        }
        
        //public static void addFraction(
        /*
        public static void LCM(int num1, int num2, int num3) {
        
            int lcm;
            int divisor;
            if (num1>n)
                
                (num1%num2==0 && num2%num3==0 && num3%num1==0) {
                lcm = num1*num2*num3;
                
            }
            
               
         }*/
            /*
         public static void LCM(int num1, int num2) {
            int divisor;
            bool same_num;
            int lcm;
            if (num1>num2){ 
                divisor=num1;
                lcm=1;
                same_num=false;
            }
             
            else if (num2>num1) {
                divisor=num2;
                lcm=1;
                same_num=false;
             }
            else {
                divisor=num1;
                lcm = num1;
                same_num=true;
             }
            int new_num1=num1;
            int new_num2=num2;
            int divisor_final=0;
            bool common_factor=false;
            while (divisor!=1 && same_num==false) {
                if(new_num1%divisor==0 && new_num2%divisor==0){
                    int new_num1_temp = new_num1/divisor;
                    int new_num2_temp = new_num2/divisor;
                    divisor_final = divisor;

new_num1 = new_num1_temp;
                    new_num2 = new_num2_temp;
                    lcm = divisor_final*new_num1*new_num2;
                    common_factor=true;
                    divisor--;
                    
                    }
                else if (common_factor==false){
                    divisor--;
                    divisor_final=divisor;
                    lcm = divisor_final*new_num1*new_num2;
                }
                else
                    divisor--;
                        
            }
            Console.WriteLine("Dividends: "+num1+","+num2+"; LCM="+lcm);
            Console.WriteLine("Divisor: "+divisor_final+"; Reduced Quotients: "+new_num1+", "+new_num2);
            Console.WriteLine(" ");
        }
        */

public static void LCM(int a, int b) {

int lcm;

if (a==b) {

Console.WriteLine("LCM : " + a);

}

else if (a>b) {
                 
                 if (a%b==0) {

Console.WriteLine("LCM : " + a);
      
                 }
             }

else {
     
                 for (int i=b; b>1; i--) {

if (a%i==0 && b%i==0) {
               
                         int a_reduced = a/i;
                         int b_reduced = b/i;
                         lcm = i*a_reduced*b_reduced;

Console.WriteLine("LCM("+a+","+b+"): " + lcm);
                         break;
                      
                     }

}
                 
             }
         }
             
        public static void LCM(int a, int b, int c) {
     
            int lcm;
                
            if (a==0) {
                Console.Write("LCM("+a+","+b+","+c+") = ");
                LCM(b,c);
            }

else if (b==0) {
                Console.Write("LCM("+a+","+b+","+c+") = ");
                LCM(a,c);
            }
            
            else if(c==0) {
                Console.Write("LCM("+a+","+b+","+c+") = ");
                LCM(a,b);
            }
            
            // if all three are equal
            
            else if (a==b && b==c) {
            
                Console.WriteLine("LCM: "+a);
 
                
            }
            // if a and b are equal
            else if (a==b && a!=c) {
                if (a>c) { // if a is greater than c, use a as divisor then decrement
                    for (int i=a; a>1; i--) {
                        if (a%i==0 && c%i==0) {
                            int a_reduced=a/i;
                            int c_reduced=c/i;
                            lcm = i*a_reduced*c_reduced;
                            Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                            break;
                        }
                    }
                }
                else { // if c is greater than a, use c as divisor then decrement
                    for (int i=c; c>1; i--) {
                        if (a%i==0 && c%i==0) {
                            int a_reduced=a/i;
                            int c_reduced=c/i;
                            lcm = i*a_reduced*c_reduced;
                            Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                            break;
                        }
                    }
                }
            }
            // if b and c are equal
            else if (b==c && a!=b) {
                if (a>b) { // if a is greater than b, use b as divisor then decrement
                    for (int i=a; a>1; i--) {
                        if (a%i==0 && b%i==0) {
                            int a_reduced=a/i;
                            int b_reduced=b/i;
                            lcm = i*a_reduced*b_reduced;
                            Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                            break;
                        }
                    }
                }
                else { // if b is greater than a, use b as divisor then decrement
                    for (int i=b; b>1; i--) {
                        if (a%i==0 && b%i==0) {
                            int a_reduced=a/i;
                            int b_reduced=b/i;
                            lcm = i*a_reduced*b_reduced;
                            Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                            break;
                        }
                    }
                }
            }
            // if a and c are equal
            else if (a==c && a!=b) {
                if (a>b) { // if a is greater than b, use a as divisor then decrement
                    for (int i=a; a>1; i--) {
                        if (a%i==0 && b%i==0) {
                            int a_reduced=a/i;
                            int b_reduced=b/i;
                            lcm = i*a_reduced*b_reduced;
                            Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                            break;
                        }
                    }
                }
                else { // if b is greater than a, use b as divisor then decrement
                    for (int i=b; b>1; i--) {
                        if (a%i==0 && b%i==0) {
                            int a_reduced=a/i;
                            int b_reduced=b/i;
                            lcm = i*a_reduced*b_reduced;            
                            Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                            break;
                        }
                    }
                }
            }
                    
            //if all three are different
            else { 
                
                int a_r = a;
                int b_r = b;
                int c_r = c;
                bool simplest = false;

int d = max (a_r,b_r,c_r); //set divisor as the max of the 3 numbers
                
                while (d>1) {

if (a_r%d==0 && b_r%d==0) {

//                            simplest=false;
                            Console.WriteLine("a_r and b_r");
                            break;
            
                    }
                        
             
                    else if (a_r%d==0 && c_r%d==0) {

//                            simplest=false;
                            Console.WriteLine("a_r and c_r");
                            break;

}
                        
                  
                    else if (b_r%d==0 && c_r%d==0) {

//                            simplest=false;
                            Console.WriteLine("b_r and c_r");
                            break;

}
                   
                    else {
                                        
                        lcm=a_r*b_r*c_r;
                        Console.WriteLine(d);
                        Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                    
                    }
                    
                    d--;
                    
                }

while (simplest=false) {
                      
                   // if (a_r%
                }
                
                /* // a is largest
                if (a>b && a>c) {
                    
                    for(int i=a; i>1; i--) { // use a as divisor
                        
                        if (a%i==0 && b%i==0 && c%i!=0) { // if a and b are divisible but not c
                            int a_reduced = a/i;
                            int b_reduced = b/i;
                            lcm = i*a_reduced*b_reduced*c;
                            Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                            break;
                        }
                        else if (b%i==0 && c%i==0 && a%i!=0) { // if b and c are divisible but not a
                        
                            int b_reduced = b/i;
                            int c_reduced = c/i;
                            lcm = i*b_reduced*c_reduced*a;
                            Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                            break;
                        }
                        
                        else if (a%i==0 && c%i==0 && b%i!=0) { // if a and c are divisible but not b
                        
                            int a_reduced = a/i;
                            int c_reduced = c/i;
                            lcm = i*a_reduced*c_reduced*b;
                            Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                            break;
                        }
                        
                        else if (a%i==0 && b%i==0 && c%i==0) { // if all 3 are divisible
                            
                            int a_reduced = a/i;
                            int b_reduced = b/i;
                            int c_reduced = c/i;
                            lcm = i*a_reduced*b_reduced*c_reduced;
                            Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                            break;
                            
                        }
                        
                        else { // if only 1 is divisible
                            
                            lcm = a*b*c;
                            Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                            break;
                        }
                    }
                }
                
                // b is largest
                else if (b>a && b>c) {
                    
                    for(int i=b; i>1; i--) { // use b as divisor
                        
                        if (a%i==0 && b%i==0 && c%i!=0) { // if a and b are divisible but not c
                            int a_reduced = a/i;
                            int b_reduced = b/i;
                            lcm = i*a_reduced*b_reduced*c;
                            Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                            break;
                        }
                        else if (b%i==0 && c%i==0 && a%i!=0) { // if b and c are divisible but not a
                        
                            int b_reduced = b/i;
                            int c_reduced = c/i;
                            lcm = i*b_reduced*c_reduced*a;
                            Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                            break;
                        }
                        
                        else if (a%i==0 && c%i==0 && b%i!=0) { // if a and c are divisible but not b
                        
                            int a_reduced = a/i;
                            int c_reduced = c/i;
                            lcm = i*a_reduced*c_reduced*b;
                            Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                            break;
                        }
                        
                        else if (a%i==0 && b%i==0 && c%i==0) { // if all 3 are divisible
                            
                            int a_reduced = a/i;
                            int b_reduced = b/i;
                            int c_reduced = c/i;
                            lcm = i*a_reduced*b_reduced*c_reduced;
                            Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                            break;
                            
                        }
                        
                        else { // if only 1 is divisible
                            
                            lcm = a*b*c;
                            Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                            break;
                        }
                    }
                }
                // c is largest
                else {
                    
                    for(int i=c; i>1; i--) { // use c as divisor
                        
                        if (a%i==0 && b%i==0 && c%i!=0) { // if a and b are divisible but not c
                            int a_reduced = a/i;
                            int b_reduced = b/i;
                            lcm = i*a_reduced*b_reduced*c;
                            Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                            break;
                        }
                        else if (b%i==0 && c%i==0 && a%i!=0) { // if b and c are divisible but not a
                        
                            int b_reduced = b/i;
                            int c_reduced = c/i;
                            lcm = i*b_reduced*c_reduced*a;
                            Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                            break;
                        }
                        
                        else if (a%i==0 && c%i==0 && b%i!=0) { // if a and c are divisible but not b
                        
                            int a_reduced = a/i;
                            int c_reduced = c/i;
                            lcm = i*a_reduced*c_reduced*b;
                            Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                            break;
                        }
                        
                        else if (a%i==0 && b%i==0 && c%i==0) { // if all 3 are divisible
                            
                            int a_reduced = a/i;
                            int b_reduced = b/i;
                            int c_reduced = c/i;
                            lcm = i*a_reduced*b_reduced*c_reduced;
                            Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                            break;
                            
                        }
                        
                        else { // if only 1 is divisible
                            
                            lcm = a*b*c;
                            Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                            break;
                        }
                    } // c largest for loop 
                } // c largest else*/
                
            }
        }

public static int max(int a, int b, int c) {

if (a>=b && a>=c) {
                
                return a;
            }
            
            else if (b>=a && b>=c) {
                 
                return b;
            }
            
            else {
                
                return c;
            }
        }

public static void Pyth(int lowerBound, int upperBound) {
            //Your code goes here
                       
            for (int i=lowerBound; i<=upperBound; i++) {
                
                for (int j=lowerBound; j<=upperBound; j++){
                    
                    double c = Math.Sqrt(Math.Pow(i,2)+Math.Pow(j,2));
                    if (c%1==0){
                        
                        Console.WriteLine("(a,b,c) = (" + i + "," + j + "," + c + ")");
                    }
                }
            }
        }

public static void SimplifyRatio(int ratio1, int ratio2, int ratio3) {
            
            int divisor;
            if (ratio1>ratio2 && ratio1>ratio3) {
                divisor = ratio1;
             }
            else if (ratio2>ratio1 && ratio2>ratio3) {
                divisor = ratio2;
            }
            else divisor = ratio3;

int ratio1_reduce = ratio1;
            int ratio2_reduce = ratio2;
            int ratio3_reduce = ratio3;
            while (divisor!=1) {

if(ratio1_reduce%divisor==0 && ratio2_reduce%divisor==0 && ratio3_reduce%divisor==0){
                int ratio1_reduce_temp = ratio1_reduce/divisor;
                int ratio2_reduce_temp = ratio2_reduce/divisor;
                int ratio3_reduce_temp = ratio3_reduce/divisor;

ratio1_reduce = ratio1_reduce_temp;
                ratio2_reduce = ratio2_reduce_temp;
                ratio3_reduce = ratio3_reduce_temp;
                divisor--;
            }
            else divisor--;

}
            
            Console.WriteLine(ratio1+":"+ratio2+":"+ratio3+" = "+ratio1_reduce+":"+ratio2_reduce+":"+ratio3_reduce);
        }
            
        /*public static void makeSubQ(int firstLowerBound, int firstUpperBound, int secondLowerBound, int secondUpperBound){
            
            for (int i=firstLowerBound; i<=firstUpperBound; i+=9){
                
                for (int j=secondLowerBound; j<=secondUpperBound; j+=9){
                
                    if (i>j) {
                        Console.WriteLine("        \\item \\("+i+"\\operation"+j+"=\\)");

}

}
                
            }
           
        }*/
        
        
        public static void makeSubQ(int firstLowerBound, int firstUpperBound, int secondLowerBound, int secondUpperBound){
        
            string title = "Algebra Simplification Introduction";
            string exerciseTitle = "Simplify the algebraic expressions";
            int m=0;
            int i_final=30000;
            int incre= 0;
            
            string[] latex = new string[] {"\\fontsize{12pt}{16pt}\\selectfont", "        \\setlength\\itemsep{2em}"};
            
            string[] op = new string[2] {"(", ")("};
            string end =")=\\)";
            
            List<string> questions = new List<string>();
            
            //for (int i=firstLowerBound; i<=firstUpperBound; i+=9){
            for (int i=0; i<100;i++){
                
                //for (int j=secondLowerBound; j<=secondUpperBound; j+=9){
                for (int j=0; j<10;j++){   
                   
                   if (i>j) {
                       
                       questions.Add("        \\item \\("+i+"-"+j+"=\\)");
                       
                   }
                   
                }
                
            }
            questions.Shuffle();
            
            //Console.WriteLine(questions.Count());
            
            for (int i=0; i<questions.Count(); i++){
                
                if(i==0){

Console.WriteLine("\\begin{figure}[ht!]");
                    Console.WriteLine("\\vspace{-23mm}\\hspace*{-23mm}\\includegraphics[scale=0.9]{Logo.jpg}");
                    Console.WriteLine("\\end{figure}");
                    Console.WriteLine();
                    Console.WriteLine("\\vspace{-15mm}\\begingroup");
                    Console.WriteLine("\\centering");
                    Console.WriteLine("\\LARGE "+title+" \\\\[0.5em]");
                    //Console.WriteLine("\\large Promatics Education Centre\\\\[1.5em]");
                    Console.WriteLine("\\endgroup");
                    Console.WriteLine();
                    Console.WriteLine(latex[0]);
                    Console.WriteLine("\\textbf{Exercise "+(m/30+1)+". "+exerciseTitle+".}\\\\");
                    Console.WriteLine("\\begin{multicols}{2}");
                    Console.WriteLine("    \\begin{enumerate}[label=\\arabic*)]");
                    Console.WriteLine(latex[1]);

}
                Console.WriteLine(questions[i]);
               
                if (i!=0 && (i+1)%30==0){
                  
                    Console.WriteLine();
                    Console.WriteLine("\\end{enumerate}");
                    Console.WriteLine("\\end{multicols}");
                    Console.WriteLine();
                    Console.WriteLine("\\pagebreak[4]");
                    Console.WriteLine();
                    Console.WriteLine("\\begin{figure}[ht!]");
                    Console.WriteLine("\\vspace{-23mm}\\hspace*{-23mm}\\includegraphics[scale=0.9]{Logo.jpg}");
                    Console.WriteLine("\\end{figure}");
                    Console.WriteLine();
                    Console.WriteLine("\\vspace{-15mm}\\begingroup");
                    Console.WriteLine("\\centering");
                    Console.WriteLine("\\LARGE "+title+" \\\\[0.5em]");
                    //Console.WriteLine("\\large Promatics Education Centre\\\\[1.5em]");
                    Console.WriteLine("\\endgroup");
                    Console.WriteLine();
                    Console.WriteLine(latex[0]);
                    Console.WriteLine("\\textbf{Exercise "+(m/30+1)+". "+exerciseTitle+".}\\\\");
                    Console.WriteLine("\\begin{multicols}{2}");
                    Console.WriteLine("    \\begin{enumerate}[label=\\arabic*)]");
                    Console.WriteLine(latex[1]);
                }
            }
        }
        
    
        public static void makeQ(int firstLowerBound, int firstUpperBound, int secondLowerBound, int secondUpperBound){
         
            for (int i=firstLowerBound; i<=firstUpperBound; i+=9){

for (int j=secondLowerBound; j<=secondUpperBound; j+=9){

Console.WriteLine("        \\item \\("+i+"\\operation"+j+"=\\)");                   
            
                }
              
            }

}
        
        
   
        public static void makeDivQ(int firstLowerBound, int firstUpperBound, int secondLowerBound, int secondUpperBound){
            
            for (int i=firstLowerBound; i<=firstUpperBound; i++){
  
                for (int j=secondLowerBound; j<=secondUpperBound; j++){
                  
                    if (i%j==0) { 
                       
                        Console.WriteLine("\\("+i+"\\div"+j+"=\\)");

}
                    
                }
               
            }
             
        }
        
        public static void addLineBreak(int linesPerSection, int totalLines) {
         
            for (int i=0; i<=totalLines; i++) {
                
                if (i%linesPerSection==0) {
                    
                    Console.WriteLine("Break");
                    
                }
                
                else Console.WriteLine("No");
                
            
            }
        }
                 
        public static void circleX(double x, double radius) {
            
            Console.WriteLine("("+x+", "+Math.Round(Math.Sqrt(radius*radius-Math.Pow(x,2)),3)+")");
            
        }
        
        public static void circleY(double y, double radius) {
          
            Console.WriteLine("("+y+", "+Math.Round(Math.Sqrt(radius*radius-Math.Pow(y,2)),3)+")");
            
        }
        
        public static void angle(double x1, double y1, double x2, double y2, double x3, double y3) {
         
            double l12 = Math.Pow((x1-x2),2) +Math.Pow((y1-y2),2);
            double l13 = Math.Pow((x3-x1),2) +Math.Pow((y3-y1),2);
            double l23 = Math.Pow((x3-x2),2) +Math.Pow((y3-y2),2);
            
            double lhs = (l13-l12-l23)/(-2*Math.Sqrt(l12)*Math.Sqrt(l23));
            double angle2 = Math.Acos(lhs);
            //double angle2 = Math.Round(Math.Acos()*100,3);
            
            //Console.WriteLine(angle2 + " degrees C");
            Console.WriteLine(l12 + " " + l23 + " " + l13);
            Console.WriteLine(lhs);
            Console.WriteLine(angle2*360/(2*Math.PI)+" degrees");
        }
        
        public static void makeAlgebra(){
        
            string[] vari = new string[24] {"a","b","c","d","f","g","h","k","m","n","p","q","r","s","t","u","v","w","x","y","z","\\delta", "\\epsilon", "\\phi"};
            //var[0] = "a";
            //var[1] = "b";
            //var[2] = "c";
            
            Random rand = new Random();
            
            
            
            int n=-1; // n is the random number of variables per question
            int m=0;
            int i_final=30000;
            int incre= 0;
            string title = "Algebra Simplification Introduction";
            string exerciseTitle = "Simplify the algebraic expressions";
            string[] latex = new string[] {"\\fontsize{12pt}{16pt}\\selectfont", "        \\setlength\\itemsep{2em}"};
            
            string[] op = new string[2] {"(", ")("};
            string end =")=\\)";
            for (int i=1; i<=i_final; i++) {

int num2=rand.Next(0,3);  // range of number of different variables per question
                int num = rand.Next(2,5); // range of number of total variables per question
                int consts=rand.Next(1,6); // range of coefficients of the variables
                
                if(i==1){

}

if (n==-1){ //first variable of each question
                    Console.Write("        \\item \\(");
                }
                
                if (n==0){
                Console.Write(consts+vari[num2+3*incre]+op[0]);
                
                }
            
                else if (n>0 && n<num){
                    Console.Write(consts+vari[num2+3*incre]+op[1]);
                }
                n++;                
                if (n==num){ 
                    m++;
                    Console.Write(consts+vari[num2+3*incre]);
                    Console.Write(end);
                    Console.WriteLine();
                    
                    if (m%30==0) {
                        incre=rand.Next(0,8);
                        Console.WriteLine("\\end{enumerate}");
                        Console.WriteLine("\\end{multicols}");
                        Console.WriteLine();
                        Console.WriteLine("\\pagebreak[4]");
                        Console.WriteLine();
                        Console.WriteLine("\\begin{figure}[ht!]");
                        Console.WriteLine("\\vspace{-23mm}\\hspace*{-23mm}\\includegraphics[scale=0.9]{Logo.jpg}");
                        Console.WriteLine("\\end{figure}");
                        Console.WriteLine();
                        Console.WriteLine("\\vspace{-15mm}\\begingroup");
                        Console.WriteLine("\\centering");
                        Console.WriteLine("\\LARGE "+title+" \\\\[0.5em]");
                        //Console.WriteLine("\\large Promatics Education Centre\\\\[1.5em]");
                        Console.WriteLine("\\endgroup");
                        Console.WriteLine();
                        Console.WriteLine(latex[0]);
                        Console.WriteLine("\\textbf{Exercise "+(m/30+1)+". "+exerciseTitle+".}\\\\");
                        Console.WriteLine("\\begin{multicols}{2}");
                        Console.WriteLine("    \\begin{enumerate}[label=\\arabic*)]");
                        Console.WriteLine(latex[1]);
                    }
                    
                    Console.Write("        \\item \\(");
                    n=0;
                }
                
                else if (n>num){
                    m++;
                    Console.Write(consts+vari[num2+3*incre]);
                    Console.Write(end);
                    Console.WriteLine();
                    
                    if (m%30==0) {
                        incre=rand.Next(0,8);
                        Console.WriteLine("\\end{enumerate}");
                        Console.WriteLine("\\end{multicols}");
                        Console.WriteLine();
                        Console.WriteLine("\\pagebreak[4]");
                        Console.WriteLine();
                        Console.WriteLine("\\begin{figure}[ht!]");
                        Console.WriteLine("\\vspace{-23mm}\\hspace*{-23mm}\\includegraphics[scale=0.9]{Logo.jpg}");
                        Console.WriteLine("\\end{figure}");
                        Console.WriteLine();
                        Console.WriteLine("\\vspace{-15mm}\\begingroup");
                        Console.WriteLine("\\centering");
                        Console.WriteLine("\\LARGE "+title+" \\\\[0.5em]");
                        //Console.WriteLine("\\large Promatics Education Centre\\\\[1.5em]");
                        Console.WriteLine("\\endgroup");
                        Console.WriteLine();
                        Console.WriteLine(latex[0]);
                        Console.WriteLine("\\textbf{Exercise "+(m/30+1)+". "+exerciseTitle+".}\\\\");
                        Console.WriteLine("\\begin{multicols}{2}");
                        Console.WriteLine("    \\begin{enumerate}[label=\\arabic*)]");
                        Console.WriteLine(latex[1]);
                    }
                    
                    Console.Write("        \\item \\(");
                    n=0;
                }

/* if(i==i_final){
                    Console.WriteLine("\\end{enumerate}");
                    Console.WriteLine("\\end{multicols}");
                    
                }*/

}
            
            
        }
        
     
        public static void makeDiv4by2()     {
            
            Random rand = new Random();
            
            for (int i =0; i<10000; i++) {
                  
                int dividend = rand.Next(1001,10000);
                int divisor = rand.Next(11,99);

if (dividend%divisor==0) {
                Console.WriteLine("        \\item \\("+dividend+"\\div"+divisor+"=\\)");
                    
                }
            }
        }
        
        public static void Main(String[] args){
            //SimplifyRatio sr = new SimplifyRatio(2,4,8);
            //Console.WriteLine(sr.ratio1+":"+sr.ratio2+":"+sr.ratio3);
            /*SimplifyRatio(4,10,32);
            Div(1,Fraction(1,2));
            LCM(12,6);
            LCM(6,7);
            LCM(2,3);
            LCM(10,120);
            Div(1,10);
            */
            
            //showFraction(2,3);
            //makeDivQ(500,999,10,99);
            //addLineBreak(30,2108);
            //makeDivQ(1000,9999,1,9);
            //makeDivQ(10,99,5,9);
            //Console.WriteLine(max(0,0,1));
            //Pyth(1,1000);
            //LCM(5,15,10);
            //circleX(-1.3,2);
            //makeAlgebra();
            
            makeSubQ(10,100,10,100);
        }
    }
}

namespace ShuffleExtension {
    
    public static class ShuffleExtend {
        
        private static readonly Random rnd = new Random();
        
        public static void Shuffle<T>(this IList<T> list) {
        
            int n = list.Count; 
       
            while (n > 1) {
            
                int k = (rnd.Next(0, n) % n);
                n--;
                T value = list[k];
                list[k] = list[n];    
                list[n] = value;
        
            }
            
   
        }
    }
}

Show compiler warnings [ + ] Show input
Compilation time: 0,19 sec, absolute running time: 0,25 sec, cpu time: 0,09 sec, average memory usage: 18 Mb, average nr of threads: 4

\begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 1. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(72-8=\) \item \(12-9=\) \item \(96-7=\) \item \(45-6=\) \item \(95-0=\) \item \(61-8=\) \item \(40-3=\) \item \(78-7=\) \item \(36-6=\) \item \(38-8=\) \item \(94-7=\) \item \(45-2=\) \item \(66-7=\) \item \(23-8=\) \item \(64-7=\) \item \(75-4=\) \item \(95-7=\) \item \(68-0=\) \item \(52-9=\) \item \(18-3=\) \item \(88-4=\) \item \(21-7=\) \item \(21-1=\) \item \(94-5=\) \item \(15-5=\) \item \(83-6=\) \item \(28-6=\) \item \(24-3=\) \item \(62-0=\) \item \(14-6=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 1. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(62-7=\) \item \(34-6=\) \item \(26-5=\) \item \(34-8=\) \item \(52-8=\) \item \(93-6=\) \item \(71-3=\) \item \(96-2=\) \item \(76-2=\) \item \(23-1=\) \item \(46-7=\) \item \(41-3=\) \item \(35-3=\) \item \(50-1=\) \item \(42-1=\) \item \(60-7=\) \item \(22-0=\) \item \(70-3=\) \item \(99-0=\) \item \(91-6=\) \item \(90-4=\) \item \(26-8=\) \item \(55-1=\) \item \(37-1=\) \item \(17-4=\) \item \(48-1=\) \item \(41-7=\) \item \(24-4=\) \item \(88-5=\) \item \(74-3=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 1. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(73-2=\) \item \(80-4=\) \item \(79-7=\) \item \(13-6=\) \item \(73-1=\) \item \(47-1=\) \item \(54-2=\) \item \(77-9=\) \item \(69-5=\) \item \(37-3=\) \item \(65-5=\) \item \(93-1=\) \item \(63-6=\) \item \(56-9=\) \item \(93-4=\) \item \(74-7=\) \item \(81-3=\) \item \(15-2=\) \item \(79-0=\) \item \(62-4=\) \item \(42-3=\) \item \(92-4=\) \item \(39-4=\) \item \(93-2=\) \item \(31-7=\) \item \(91-3=\) \item \(22-6=\) \item \(57-7=\) \item \(36-1=\) \item \(43-3=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 1. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(54-1=\) \item \(52-6=\) \item \(20-0=\) \item \(51-6=\) \item \(84-7=\) \item \(59-6=\) \item \(13-4=\) \item \(47-6=\) \item \(66-4=\) \item \(51-1=\) \item \(29-8=\) \item \(85-5=\) \item \(20-1=\) \item \(90-2=\) \item \(89-4=\) \item \(26-6=\) \item \(4-3=\) \item \(97-5=\) \item \(35-4=\) \item \(37-5=\) \item \(16-7=\) \item \(8-4=\) \item \(54-4=\) \item \(64-6=\) \item \(39-7=\) \item \(70-0=\) \item \(32-6=\) \item \(81-8=\) \item \(8-2=\) \item \(33-9=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 1. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(34-2=\) \item \(51-9=\) \item \(61-0=\) \item \(83-2=\) \item \(3-1=\) \item \(73-0=\) \item \(95-8=\) \item \(39-9=\) \item \(69-4=\) \item \(95-1=\) \item \(49-8=\) \item \(42-5=\) \item \(47-3=\) \item \(6-5=\) \item \(53-2=\) \item \(15-1=\) \item \(97-2=\) \item \(19-3=\) \item \(60-3=\) \item \(63-9=\) \item \(12-2=\) \item \(40-7=\) \item \(99-5=\) \item \(23-0=\) \item \(90-5=\) \item \(21-4=\) \item \(13-5=\) \item \(28-9=\) \item \(43-1=\) \item \(49-6=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 1. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(59-5=\) \item \(35-9=\) \item \(56-3=\) \item \(86-4=\) \item \(73-6=\) \item \(57-4=\) \item \(78-4=\) \item \(97-7=\) \item \(29-5=\) \item \(23-4=\) \item \(73-5=\) \item \(48-3=\) \item \(49-1=\) \item \(91-0=\) \item \(93-9=\) \item \(58-9=\) \item \(5-2=\) \item \(71-7=\) \item \(65-2=\) \item \(55-7=\) \item \(83-9=\) \item \(75-8=\) \item \(77-7=\) \item \(23-3=\) \item \(65-6=\) \item \(94-9=\) \item \(60-6=\) \item \(65-1=\) \item \(34-7=\) \item \(81-2=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 1. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(45-3=\) \item \(30-2=\) \item \(53-0=\) \item \(46-1=\) \item \(89-2=\) \item \(18-7=\) \item \(88-6=\) \item \(31-2=\) \item \(73-4=\) \item \(67-9=\) \item \(3-2=\) \item \(63-2=\) \item \(19-4=\) \item \(62-6=\) \item \(53-8=\) \item \(35-6=\) \item \(79-2=\) \item \(51-5=\) \item \(84-3=\) \item \(10-8=\) \item \(33-5=\) \item \(65-7=\) \item \(4-2=\) \item \(90-9=\) \item \(63-5=\) \item \(66-0=\) \item \(21-8=\) \item \(49-7=\) \item \(30-5=\) \item \(92-1=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 1. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(70-1=\) \item \(95-5=\) \item \(62-3=\) \item \(12-4=\) \item \(8-3=\) \item \(81-5=\) \item \(10-9=\) \item \(73-3=\) \item \(17-1=\) \item \(54-0=\) \item \(89-9=\) \item \(29-2=\) \item \(89-7=\) \item \(62-9=\) \item \(31-0=\) \item \(24-7=\) \item \(41-2=\) \item \(75-9=\) \item \(62-8=\) \item \(25-9=\) \item \(89-3=\) \item \(94-1=\) \item \(32-9=\) \item \(40-5=\) \item \(28-0=\) \item \(56-6=\) \item \(40-0=\) \item \(43-0=\) \item \(20-6=\) \item \(88-8=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 1. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(43-5=\) \item \(45-7=\) \item \(28-3=\) \item \(83-5=\) \item \(99-2=\) \item \(76-7=\) \item \(87-4=\) \item \(63-0=\) \item \(74-5=\) \item \(77-1=\) \item \(52-2=\) \item \(64-3=\) \item \(19-0=\) \item \(26-2=\) \item \(49-2=\) \item \(40-1=\) \item \(27-4=\) \item \(49-3=\) \item \(51-4=\) \item \(17-2=\) \item \(47-5=\) \item \(69-3=\) \item \(31-1=\) \item \(86-2=\) \item \(13-7=\) \item \(93-5=\) \item \(26-1=\) \item \(94-3=\) \item \(16-0=\) \item \(13-2=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 1. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(32-1=\) \item \(42-9=\) \item \(16-9=\) \item \(92-5=\) \item \(46-2=\) \item \(70-6=\) \item \(35-2=\) \item \(47-7=\) \item \(52-1=\) \item \(41-6=\) \item \(96-3=\) \item \(38-6=\) \item \(60-8=\) \item \(71-5=\) \item \(56-2=\) \item \(59-8=\) \item \(70-2=\) \item \(91-7=\) \item \(32-4=\) \item \(56-8=\) \item \(20-3=\) \item \(13-1=\) \item \(51-2=\) \item \(44-9=\) \item \(14-5=\) \item \(32-0=\) \item \(99-8=\) \item \(29-9=\) \item \(79-5=\) \item \(89-8=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 1. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(87-2=\) \item \(45-9=\) \item \(59-9=\) \item \(41-5=\) \item \(85-4=\) \item \(91-5=\) \item \(55-8=\) \item \(72-5=\) \item \(11-0=\) \item \(48-6=\) \item \(58-2=\) \item \(96-8=\) \item \(23-7=\) \item \(42-8=\) \item \(94-0=\) \item \(51-7=\) \item \(63-1=\) \item \(91-8=\) \item \(98-5=\) \item \(36-4=\) \item \(29-4=\) \item \(14-1=\) \item \(55-6=\) \item \(11-7=\) \item \(15-8=\) \item \(48-5=\) \item \(83-0=\) \item \(6-1=\) \item \(99-6=\) \item \(43-8=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 1. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(74-6=\) \item \(54-8=\) \item \(46-3=\) \item \(44-6=\) \item \(78-5=\) \item \(32-8=\) \item \(19-6=\) \item \(69-1=\) \item \(68-9=\) \item \(86-7=\) \item \(62-5=\) \item \(70-7=\) \item \(27-2=\) \item \(39-0=\) \item \(24-2=\) \item \(34-1=\) \item \(81-7=\) \item \(12-0=\) \item \(85-6=\) \item \(82-1=\) \item \(59-3=\) \item \(42-7=\) \item \(67-6=\) \item \(75-3=\) \item \(24-9=\) \item \(68-2=\) \item \(33-7=\) \item \(47-8=\) \item \(71-0=\) \item \(13-8=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 1. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(86-6=\) \item \(70-9=\) \item \(60-5=\) \item \(35-1=\) \item \(5-4=\) \item \(15-7=\) \item \(45-8=\) \item \(58-6=\) \item \(7-3=\) \item \(96-6=\) \item \(52-4=\) \item \(30-0=\) \item \(34-5=\) \item \(38-3=\) \item \(27-8=\) \item \(16-5=\) \item \(30-7=\) \item \(88-2=\) \item \(93-0=\) \item \(17-9=\) \item \(50-0=\) \item \(96-5=\) \item \(86-1=\) \item \(64-4=\) \item \(24-5=\) \item \(83-3=\) \item \(40-2=\) \item \(89-1=\) \item \(86-9=\) \item \(43-4=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 1. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(22-1=\) \item \(67-0=\) \item \(82-2=\) \item \(74-4=\) \item \(38-2=\) \item \(50-8=\) \item \(16-3=\) \item \(17-5=\) \item \(49-5=\) \item \(43-7=\) \item \(58-5=\) \item \(26-9=\) \item \(10-2=\) \item \(12-5=\) \item \(57-5=\) \item \(8-0=\) \item \(34-3=\) \item \(63-4=\) \item \(37-9=\) \item \(68-4=\) \item \(84-0=\) \item \(59-7=\) \item \(49-0=\) \item \(67-5=\) \item \(93-7=\) \item \(71-8=\) \item \(2-1=\) \item \(4-1=\) \item \(10-4=\) \item \(60-9=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 1. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(92-9=\) \item \(61-9=\) \item \(78-0=\) \item \(13-3=\) \item \(38-9=\) \item \(58-1=\) \item \(36-7=\) \item \(26-3=\) \item \(61-6=\) \item \(61-7=\) \item \(96-4=\) \item \(50-4=\) \item \(73-8=\) \item \(73-9=\) \item \(76-1=\) \item \(98-2=\) \item \(39-8=\) \item \(82-8=\) \item \(31-9=\) \item \(87-8=\) \item \(78-1=\) \item \(61-4=\) \item \(54-7=\) \item \(30-9=\) \item \(12-6=\) \item \(77-0=\) \item \(74-8=\) \item \(21-9=\) \item \(26-0=\) \item \(56-4=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 1. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(83-8=\) \item \(18-4=\) \item \(92-2=\) \item \(44-5=\) \item \(43-9=\) \item \(66-2=\) \item \(50-6=\) \item \(76-5=\) \item \(17-0=\) \item \(84-5=\) \item \(97-0=\) \item \(79-4=\) \item \(55-2=\) \item \(19-8=\) \item \(19-1=\) \item \(30-4=\) \item \(25-6=\) \item \(19-7=\) \item \(4-0=\) \item \(66-9=\) \item \(99-1=\) \item \(78-6=\) \item \(19-9=\) \item \(99-4=\) \item \(39-1=\) \item \(54-9=\) \item \(28-4=\) \item \(24-1=\) \item \(61-5=\) \item \(88-1=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 1. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(48-8=\) \item \(25-4=\) \item \(72-6=\) \item \(58-0=\) \item \(54-6=\) \item \(20-5=\) \item \(33-8=\) \item \(29-0=\) \item \(14-9=\) \item \(53-9=\) \item \(67-8=\) \item \(39-3=\) \item \(66-8=\) \item \(50-3=\) \item \(92-8=\) \item \(67-3=\) \item \(61-3=\) \item \(55-0=\) \item \(53-6=\) \item \(55-5=\) \item \(80-3=\) \item \(58-8=\) \item \(57-0=\) \item \(24-8=\) \item \(42-4=\) \item \(9-2=\) \item \(75-5=\) \item \(87-3=\) \item \(60-1=\) \item \(6-4=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 1. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(87-5=\) \item \(10-7=\) \item \(69-9=\) \item \(92-7=\) \item \(17-8=\) \item \(79-9=\) \item \(51-0=\) \item \(85-2=\) \item \(21-2=\) \item \(18-9=\) \item \(46-4=\) \item \(41-1=\) \item \(6-0=\) \item \(84-2=\) \item \(98-3=\) \item \(38-7=\) \item \(29-7=\) \item \(53-1=\) \item \(26-4=\) \item \(7-5=\) \item \(84-8=\) \item \(75-6=\) \item \(81-9=\) \item \(89-6=\) \item \(45-5=\) \item \(84-4=\) \item \(90-6=\) \item \(91-1=\) \item \(25-7=\) \item \(92-6=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 1. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(36-2=\) \item \(78-9=\) \item \(14-4=\) \item \(74-9=\) \item \(48-0=\) \item \(14-2=\) \item \(82-9=\) \item \(55-9=\) \item \(84-6=\) \item \(94-6=\) \item \(32-5=\) \item \(24-0=\) \item \(69-2=\) \item \(84-9=\) \item \(62-2=\) \item \(88-0=\) \item \(53-7=\) \item \(58-7=\) \item \(16-2=\) \item \(11-4=\) \item \(9-7=\) \item \(14-7=\) \item \(80-9=\) \item \(34-0=\) \item \(98-6=\) \item \(56-5=\) \item \(20-4=\) \item \(57-2=\) \item \(41-4=\) \item \(7-6=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 1. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(98-9=\) \item \(26-7=\) \item \(5-3=\) \item \(57-1=\) \item \(46-6=\) \item \(46-8=\) \item \(44-8=\) \item \(57-3=\) \item \(48-7=\) \item \(19-2=\) \item \(72-4=\) \item \(36-8=\) \item \(68-6=\) \item \(46-0=\) \item \(38-0=\) \item \(94-4=\) \item \(35-0=\) \item \(49-9=\) \item \(40-4=\) \item \(93-8=\) \item \(16-6=\) \item \(83-7=\) \item \(16-1=\) \item \(67-2=\) \item \(87-7=\) \item \(22-4=\) \item \(10-5=\) \item \(56-1=\) \item \(12-7=\) \item \(37-2=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 1. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(89-5=\) \item \(8-7=\) \item \(33-1=\) \item \(85-3=\) \item \(81-1=\) \item \(8-1=\) \item \(77-6=\) \item \(90-1=\) \item \(96-0=\) \item \(37-6=\) \item \(28-7=\) \item \(8-6=\) \item \(27-6=\) \item \(28-2=\) \item \(36-5=\) \item \(67-7=\) \item \(33-2=\) \item \(67-4=\) \item \(27-3=\) \item \(29-1=\) \item \(88-7=\) \item \(76-8=\) \item \(65-9=\) \item \(11-1=\) \item \(97-6=\) \item \(30-6=\) \item \(96-1=\) \item \(51-8=\) \item \(81-4=\) \item \(64-1=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 1. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(69-0=\) \item \(9-3=\) \item \(65-8=\) \item \(12-3=\) \item \(85-9=\) \item \(95-6=\) \item \(78-8=\) \item \(38-4=\) \item \(91-9=\) \item \(63-7=\) \item \(54-3=\) \item \(99-9=\) \item \(99-3=\) \item \(41-8=\) \item \(87-0=\) \item \(12-8=\) \item \(57-8=\) \item \(44-3=\) \item \(14-3=\) \item \(64-2=\) \item \(81-6=\) \item \(92-3=\) \item \(64-9=\) \item \(80-6=\) \item \(47-2=\) \item \(3-0=\) \item \(25-3=\) \item \(69-8=\) \item \(31-4=\) \item \(21-6=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 1. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(68-8=\) \item \(99-7=\) \item \(7-0=\) \item \(47-4=\) \item \(11-5=\) \item \(98-8=\) \item \(72-2=\) \item \(16-8=\) \item \(76-4=\) \item \(48-4=\) \item \(64-8=\) \item \(50-2=\) \item \(53-4=\) \item \(23-2=\) \item \(36-3=\) \item \(10-0=\) \item \(50-5=\) \item \(23-9=\) \item \(10-1=\) \item \(27-1=\) \item \(82-6=\) \item \(31-3=\) \item \(20-2=\) \item \(7-1=\) \item \(44-0=\) \item \(28-5=\) \item \(68-3=\) \item \(14-0=\) \item \(24-6=\) \item \(45-4=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 1. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(66-6=\) \item \(95-3=\) \item \(18-1=\) \item \(60-2=\) \item \(17-6=\) \item \(20-7=\) \item \(75-1=\) \item \(11-2=\) \item \(64-0=\) \item \(79-1=\) \item \(35-7=\) \item \(37-4=\) \item \(74-2=\) \item \(80-7=\) \item \(71-4=\) \item \(60-4=\) \item \(52-5=\) \item \(63-8=\) \item \(19-5=\) \item \(70-4=\) \item \(46-9=\) \item \(18-8=\) \item \(32-7=\) \item \(46-5=\) \item \(77-2=\) \item \(15-0=\) \item \(55-3=\) \item \(7-2=\) \item \(56-7=\) \item \(72-3=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 1. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(84-1=\) \item \(48-9=\) \item \(50-7=\) \item \(74-1=\) \item \(83-1=\) \item \(65-0=\) \item \(37-7=\) \item \(33-0=\) \item \(11-9=\) \item \(53-3=\) \item \(77-3=\) \item \(23-6=\) \item \(39-2=\) \item \(38-5=\) \item \(80-0=\) \item \(55-4=\) \item \(43-2=\) \item \(79-8=\) \item \(10-3=\) \item \(25-8=\) \item \(25-0=\) \item \(28-1=\) \item \(59-4=\) \item \(72-7=\) \item \(44-7=\) \item \(80-5=\) \item \(87-6=\) \item \(90-0=\) \item \(18-0=\) \item \(25-1=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 1. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(71-1=\) \item \(79-3=\) \item \(30-3=\) \item \(27-9=\) \item \(90-3=\) \item \(97-1=\) \item \(15-6=\) \item \(90-8=\) \item \(83-4=\) \item \(91-2=\) \item \(9-4=\) \item \(76-3=\) \item \(15-3=\) \item \(76-0=\) \item \(68-1=\) \item \(13-9=\) \item \(10-6=\) \item \(52-0=\) \item \(21-0=\) \item \(20-8=\) \item \(36-0=\) \item \(91-4=\) \item \(5-1=\) \item \(8-5=\) \item \(22-9=\) \item \(34-9=\) \item \(77-5=\) \item \(64-5=\) \item \(86-5=\) \item \(25-5=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 1. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(69-6=\) \item \(85-0=\) \item \(29-6=\) \item \(22-5=\) \item \(50-9=\) \item \(68-5=\) \item \(93-3=\) \item \(47-0=\) \item \(9-8=\) \item \(13-0=\) \item \(75-0=\) \item \(77-4=\) \item \(85-8=\) \item \(11-8=\) \item \(30-8=\) \item \(44-4=\) \item \(60-0=\) \item \(57-6=\) \item \(58-4=\) \item \(82-7=\) \item \(16-4=\) \item \(9-0=\) \item \(15-4=\) \item \(43-6=\) \item \(98-7=\) \item \(42-0=\) \item \(68-7=\) \item \(87-9=\) \item \(95-4=\) \item \(9-1=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 1. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(95-9=\) \item \(5-0=\) \item \(37-8=\) \item \(88-3=\) \item \(95-2=\) \item \(35-8=\) \item \(39-6=\) \item \(72-0=\) \item \(52-7=\) \item \(45-0=\) \item \(97-4=\) \item \(22-2=\) \item \(59-2=\) \item \(32-3=\) \item \(61-1=\) \item \(77-8=\) \item \(6-3=\) \item \(71-6=\) \item \(66-1=\) \item \(9-5=\) \item \(40-8=\) \item \(34-4=\) \item \(98-4=\) \item \(75-2=\) \item \(2-0=\) \item \(81-0=\) \item \(92-0=\) \item \(66-3=\) \item \(7-4=\) \item \(18-6=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 1. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(29-3=\) \item \(41-9=\) \item \(67-1=\) \item \(65-3=\) \item \(97-8=\) \item \(52-3=\) \item \(71-9=\) \item \(48-2=\) \item \(80-1=\) \item \(9-6=\) \item \(51-3=\) \item \(98-1=\) \item \(1-0=\) \item \(42-6=\) \item \(74-0=\) \item \(17-3=\) \item \(86-8=\) \item \(94-8=\) \item \(22-7=\) \item \(49-4=\) \item \(57-9=\) \item \(11-3=\) \item \(15-9=\) \item \(53-5=\) \item \(97-9=\) \item \(78-3=\) \item \(54-5=\) \item \(21-3=\) \item \(27-0=\) \item \(89-0=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 1. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(42-2=\) \item \(88-9=\) \item \(86-0=\) \item \(56-0=\) \item \(85-7=\) \item \(82-3=\) \item \(94-2=\) \item \(58-3=\) \item \(33-6=\) \item \(82-5=\) \item \(39-5=\) \item \(61-2=\) \item \(82-0=\) \item \(80-8=\) \item \(59-0=\) \item \(21-5=\) \item \(22-3=\) \item \(98-0=\) \item \(6-2=\) \item \(27-7=\) \item \(82-4=\) \item \(31-5=\) \item \(66-5=\) \item \(90-7=\) \item \(71-2=\) \item \(23-5=\) \item \(33-3=\) \item \(12-1=\) \item \(33-4=\) \item \(72-1=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 1. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(44-2=\) \item \(20-9=\) \item \(17-7=\) \item \(72-9=\) \item \(87-1=\) \item \(18-5=\) \item \(31-8=\) \item \(22-8=\) \item \(75-7=\) \item \(80-2=\) \item \(40-9=\) \item \(79-6=\) \item \(31-6=\) \item \(86-3=\) \item \(47-9=\) \item \(36-9=\) \item \(30-1=\) \item \(45-1=\) \item \(63-3=\) \item \(11-6=\) \item \(59-1=\) \item \(97-3=\) \item \(38-1=\) \item \(41-0=\) \item \(70-8=\) \item \(35-5=\) \item \(14-8=\) \item \(25-2=\) \item \(76-9=\) \item \(69-7=\) \end{enumerate} \end{multicols} \pagebreak[4] \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\begingroup \centering \LARGE Algebra Simplification Introduction \\[0.5em] \endgroup \fontsize{12pt}{16pt}\selectfont \textbf{Exercise 1. Simplify the algebraic expressions.}\\ \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \setlength\itemsep{2em} \item \(70-5=\) \item \(73-7=\) \item \(44-1=\) \item \(62-1=\) \item \(76-6=\) \item \(85-1=\) \item \(96-9=\) \item \(18-2=\) \item \(32-2=\) \item \(27-5=\) \item \(28-8=\) \item \(78-2=\) \item \(37-0=\) \item \(40-6=\) \item \(65-4=\)