
EMSolution Arithmetic short


 Get an effective help in learning problemsolving skills and grasping math concepts! EMSolution offers an infinite number of fully explained solutions. Each solution evolves step by step; each step of solution is provided with its objective, grounding definition and rule and with underlying formula or theorem. EMSolution encourages students to learn through indepth understanding of each solution step and repetition rather than through rote memorization. You can review solutions step by step, learn related math concepts, study solution methods, try to solve similar math problems on your own, and in parallel, learn math lexicon in a foreign language! For math teachers, EMSolution offers a number of easytouse test authoring options. You can select problems by topic, solution method and complexity level, prepare printable math tests and develop numerous test variants literally in a minute. A difficulty scale for each task will assist teachers in a class of mixed ability students. Free fully functional downloadable version of EMSolution is available. Free online demos allow trying most of the user options and viewing examples of fully explained solutions. 


Parameters of the program
Name of program:

EMSolution_Arithmetic_short

Number of problems:

9579

Number of similar variants:

3

Languages of interface:

English, German

Price:

58 EUR

Size of archive:

2969 kb

9579 arithmetic and prealgebra problems. Fully explained stepbystep solutions and related theory. Operations. Transformation and simplification of numeric expressions. Fractional expressions. Tests of validity of numeric equalities. Solution of arithmetic problems using algebraic methods. Option of translation. Sorting problems by complexity levels and solution methods. Authoring options enabling development of tests, quizzes, exams and problem solving lesson plans. Automatic generation of variant tests. Dozens of ready tests.
System Requirements:
Pentium 2 or higher
64 MB RAM
Windows 98 or higher
Internet Explorer 5.5 or higher
Plugin MathPlayer (downloadable from here)
Program's detail
Examples
An online sample of math problems and problem solutions from this program is provided below:
EMTEACHLINE MATHEMATICS SOFTWARE: MATH PROBLEM SOLVING FOR KIDS AND TEENS
Press release
ABSTRACT. EMTeachline Software has released a PCbased mathematics software package that offers a huge collection of problemsolving lessons in arithmetic, prealgebra, algebra, trigonometry and hyperbolic trigonometry with handson tutorials. This encyclopedic software contains hundreds of thousands of fully explained step by step solutions to math problems from basic to advanced and thousands of related definitions, rules, math formulas and theorems. Each step of solution is provided with its objective, relevant definition and rule, and with fully explained step by step proof of the underlying math formulae or theorem. The software helps children review, explore and effectively learn essential math skills. Easytouse test authoring tools enable math teachers to develop customizable math tests, variant tests, quizzes, exams and problemsolving lesson plans. The software is suitable for elementary, middle and high school use. Designed as a supplement classroom instruction. Provides a useful help for math teachers.
1. SOFTWARE OVERVIEW
Building problem solving skills in math requires grasping math concepts and a large amount of training in solving similar tasks. EMTeachline Mathematics Software provides children with the chance to do just that. This software encourages kids to learn through indepth understanding of each solution step and repetition rather than through rote memorization. Children who are struggling in math learn best through repetition. Those who stick with this mathematics software will come away with a stronger understanding of fundamental math concepts, improved higherlevel thinking skills and excellent skills in solving math problems.
EMTeachline Mathematics Problem Solving Software  EMSolution  consists of dozens of modules arranged in topics. Each module offers hundreds of math problem types, with dozens of similar math problems within one type. Math learning is effective when problems gradually advance in difficulty. This software offers 11 levels of complexity for each problem type, from basic to extra difficult. Kids who are strong in math and need a challenge can adjust the difficulty level at any moment.
Learners can review solutions step by step and study related math theory. Each step of solution is provided with its objective, relevant definition and rule, and with fully explained step by step proof of the underlying math formulae or theorem. This tutoring material is provided in a useful manner, so that it is always under hand. A set of ready math tests is designed for children to review and reinforce their math skills. Problem situations, solutions and tutoring material can be printed out.
More than just a math tutorial, this bilingual problemsolving software offers a way for children to learn math lexicon in a foreign language. Translation of any text to German (or another language) is easily obtained by doubleclicking on it. Those who study not in a native language will find this option particularly attractive.
Test authoring options make development of math tests, quizzes, homeworks and exams an easy and creative work. With thousands math problems at hands, math teachers do not have to search for fresh exmples. You can select math problems by complexity levels, solution methods and types of tasks; develop customizable math tests of varied complexity in a minute; create your own didactic materials and problemsolving lesson plans, and generate numerous similar variant tests around a constructed example. All developed materials can be printed out or stored in a file and reused. These easytouse authoring tools provide an ideal solution for a classroom teacher.
Let's be honest  this program is not for funseekers. No sounds, no colorful visual effects. The tutorial material is presented in a dry academic fashion. Most kids would use this program to review for an exam that they are required to take. However, the contents hold much appeal for children who enjoy solving math problems and like challenges. Those who look for a systematic math knowledge will find the software to be particularly engaging.
2. SKILLS COVERED
Arithmetic and PreAlgebra: Operations: multiplication, division, addition, subtraction. Fractions, powers. Numeric expressions: estimation, equivalencies, problemsolving. Solving arithmetic problems using algebraic formulas.
Algebra: Polynomial and fractional rational expressions: transformation, simplification, evaluation. Solution of linear, quadratic, cubic, biquadratic, reciprocal and fractional algebraic equations and inequalities. Proofs of algebraic identities. Solution methods: Substitution, factoring, grouping, Bezout theorem, formulas of short multiplication, method of intervals and more. Related theory: definitions and rules, proof of algebraic formulas and theorems.
Trigonometry and Hyperbolic Trigonometry: trigonometric and hyperbolic functions, arcus functions. Trigonometric and hyperbolic expressions: transformation, simplification, evaluation. Solution of trigonometric and hyperbolic equations. Proofs of trigonometric and hyperbolic identities. Solution methods: universal substitution, sum, product and addition of trigonometric functions, power reduction, multiple argument, shift of argument and more. Related theory: definitions and rules, proof of trigonometric and hyperbolic formulas.
3. USER OPTIONS
For math students: You can review solutions of math problems step by step, learn related math concepts, study solution methods, review proofs of used math formulas, try to solve similar math problems on your own, and in parallel, learn math lexicon in a foreign language!
For math teachers: You can use an extensive bank of math problems; arrange problems by topic, complexity level, solution method and type of task; compile math tests, quizzes, homeworks and exams of varied complexity; create your own didactic materials and problemsolving lesson plans; generate numerous similar variant math tests around a constructed example. You can use dozens of ready variant tests.
Contents of the program
Themes
Chapters and sections
Arithmetic II. Standard calculations. Integers 
Chapters 
Sections 
Perform operations

 Perform operations. Arithmetic operations on a set of integers I
 Perform operations. Arithmetic operations on a set of integers II
 Perform operations. Arithmetic operations on a set of rational numbers
 Perform operations. Arithmetic operations with fractional numeric expressions
 Perform operations. Arithmetic operations with fractional numeric expressions. Reduction of fractions
 Perform operations. Arithmetic operations with fractional numeric expressions. Equal denominators
 Perform operations. Arithmetic operations with fractional numeric expressions. Different denominators
 Perform operations. Arithmetic operations and operations of exponentiation. Fractional expressions

Compare values of expressions

 Compare values of expressions. Arithmetic operations on a set of integers I
 Compare values of expressions. Arithmetic operations on a set of integers II
 Compare values of expressions. Arithmetic operations on a set of rational numbers
 Compare values of expressions. Arithmetic operations with fractional numeric expressions
 Compare values of expressions. Arithmetic operations with fractional numeric expressions. Reduction of fractions
 Compare values of expressions. Arithmetic operations with fractional numeric expressions. Equal denominators
 Compare values of expressions. Arithmetic operations with fractional numeric expressions. Different denominators
 Compare values of expressions. Arithmetic operations and operations of exponentiation. Fractional expressions

Test the validity of numerical equality

 Test the validity of numerical equality. Arithmetic operations on a set of integers I
 Test the validity of numerical equality. Arithmetic operations on a set of integers II
 Test the validity of numerical equality. Arithmetic operations on a set of rational numbers
 Test the validity of numerical equality. Arithmetic operations with fractional numeric expressions
 Test the validity of numerical equality. Arithmetic operations with fractional numeric expressions. Reduction of fractions
 Test the validity of numerical equality. Arithmetic operations with fractional numeric expressions. Equal denominators
 Test the validity of numerical equality. Arithmetic operations with fractional numeric expressions. Different denominators

Arithmetic III. Algebraic methods. Integers 
Chapters 
Sections 
Simplify and evaluate expressions reduced to linear expressions. Integers

 Simplify and evaluate expressions reduced to linear expressions. Integers. Elementary linear expressions
 Simplify and evaluate expressions reduced to linear expressions. Integers. Elementary linear expressions containing fractions
 Simplify and evaluate expressions reduced to linear expressions. Integers. Linear expressions. Distributive law
 Simplify and evaluate expressions reduced to linear expressions. Integers. Linear expressions. Formulas of short multiplication
 Simplify and evaluate expressions reduced to linear expressions. Integers. Linear expressions. Formulas of short multiplication. Cubes
 Simplify and evaluate expressions reduced to linear expressions. Integers. Linear expressions. Properties of powers
 Simplify and evaluate expressions reduced to linear expressions. Integers. Expressions reduced to linear expressions
 Simplify and evaluate expressions reduced to linear expressions. Integers. Fractional expressions. Properties of fractions. Rational coefficients
 Simplify and evaluate expressions reduced to linear expressions. Integers. Fractional expressions. Properties of fractions. Integer coefficients
 Simplify and evaluate expressions reduced to linear expressions. Integers. Fractional expressions. Method of substitution. Integer coefficients
 Simplify and evaluate expressions reduced to linear expressions. Integers. Fractional expressions. Method of substitution. Rational coefficients
 Simplify and evaluate expressions reduced to linear expressions. Integers. Linear expressions. Factorization of quadratic trinomial
 Simplify and evaluate expressions reduced to linear expressions. Integers. Linear expressions. Method of substitution. Distributive law
 Simplify and evaluate expressions reduced to linear expressions. Integers. Linear expressions. Method of substitution. Formulas of short multiplication

Simplify and evaluate expressions reduced to quadratic expressions. Integers

 Simplify and evaluate expressions reduced to quadratic expressions. Integers. Elementary quadratic expressions
 Simplify and evaluate expressions reduced to quadratic expressions. Integers. Quadratic expressions containing fractions
 Simplify and evaluate expressions reduced to quadratic expressions. Integers. Quadratic expressions. Distributive law. Integer coefficients
 Simplify and evaluate expressions reduced to quadratic expressions. Integers. Quadratic expressions. Formulas of short multiplication
 Simplify and evaluate expressions reduced to quadratic expressions. Integers. Quadratic expressions. Distributive law. Rational coefficients
 Simplify and evaluate expressions reduced to quadratic expressions. Integers. Quadratic expressions. Factorization of quadratic trinomial
 Simplify and evaluate expressions reduced to quadratic expressions. Integers. Quadratic expressions. Properties of powers
 Simplify and evaluate expressions reduced to quadratic expressions. Integers. Quadratic expressions. Grouping method
 Simplify and evaluate expressions reduced to quadratic expressions. Integers. Quadratic expressions. Method of substitution. Distributive law. Integer coefficients
 Simplify and evaluate expressions reduced to quadratic expressions. Integers. Quadratic expressions. Method of substitution. Distributive law. Rational coefficients
 Simplify and evaluate expressions reduced to quadratic expressions. Integers. Quadratic expressions. Method of substitution. Formulas of short multiplication. Integer coefficients
 Simplify and evaluate expressions reduced to quadratic expressions. Integers. Quadratic expressions. Method of substitution. Formulas of short multiplication. Rational coefficients

Simplify and evaluate highdegree expressions. Integers

 Simplify and evaluate highdegree expressions. Integers. Simplify and evaluate algebraic highdegree expressions. Bezout theorem. Integer roots. Integers
 Simplify and evaluate highdegree expressions. Integers. Simplify and evaluate algebraic highdegree expressions. Bezout theorem. Irrational roots. Integers
 Simplify and evaluate highdegree expressions. Integers. Simplify and evaluate algebraic highdegree expressions. Bezout theorem. Integer roots. Integers
 Simplify and evaluate highdegree expressions. Integers. Simplify and evaluate algebraic highdegree expressions. Grouping method. Integers
 Simplify and evaluate highdegree expressions. Integers. Simplify and evaluate algebraic highdegree expressions. Perfect square. Integers
 Simplify and evaluate highdegree expressions. Integers. Simplify and evaluate algebraic highdegree expressions. Bezout theorem. Irrational roots. Integers
 Simplify and evaluate highdegree expressions. Integers. Simplify and evaluate algebraic highdegree expressions. Formulas of short multiplication. Integers
 Simplify and evaluate highdegree expressions. Integers. Simplify and evaluate algebraic highdegree expressions. Difference of squares. Integers
 Simplify and evaluate highdegree expressions. Integers. Simplify and evaluate algebraic highdegree expressions. Factorization of quadratic trinomial. Integers
 Simplify and evaluate highdegree expressions. Integers. Simplify and evaluate algebraic highdegree expressions. Properties of fractions. Integers
 Simplify and evaluate highdegree expressions. Integers. Simplify and evaluate algebraic highdegree expressions. Difference and sum of cubes. Integers
 Simplify and evaluate highdegree expressions. Integers. Simplify and evaluate algebraic highdegree expressions. Method of substitution. Integers

Simplify and evaluate fractional expressions. Integers

 Simplify and evaluate fractional expressions. Integers. Elementary fractional algebraic expressions. Simplify and evaluate
 Simplify and evaluate fractional expressions. Integers. Fractional algebraic expressions reduced to a fraction with linear expression in numerator. Simplify and evaluate
 Simplify and evaluate fractional expressions. Integers. Fractional algebraic expressions reduced to a fraction with quadratic expression in numerator. Simplify and evaluate
 Simplify and evaluate fractional expressions. Integers. Fractional algebraic expressions reduced to a fraction with cubic expression in numerator. Simplify and evaluate
 Simplify and evaluate fractional expressions. Integers. Fractional algebraic expressions reduced to a fraction with biquadratic expression in numerator. Simplify and evaluate
 Simplify and evaluate fractional expressions. Integers. Fractional algebraic expressions reduced to a fraction with reciprocal expression in numerator. Simplify and evaluate
 Simplify and evaluate fractional expressions. Integers. Fractional algebraic expressions reduced to a fraction with reciprocal expression in numerator. Method of substitution. Simplify and evaluate

Transform, evaluate and compare values of expressions reduced to linear expressions. Integers

 Transform, evaluate and compare values of expressions reduced to linear expressions. Integers. Elementary linear expressions
 Transform, evaluate and compare values of expressions reduced to linear expressions. Integers. Elementary linear expressions containing fractions
 Transform, evaluate and compare values of expressions reduced to linear expressions. Integers. Linear expressions. Distributive law
 Transform, evaluate and compare values of expressions reduced to linear expressions. Integers. Linear expressions. Formulas of short multiplication
 Transform, evaluate and compare values of expressions reduced to linear expressions. Integers. Linear expressions. Formulas of short multiplication. Cubes
 Transform, evaluate and compare values of expressions reduced to linear expressions. Integers. Linear expressions. Properties of powers
 Transform, evaluate and compare values of expressions reduced to linear expressions. Integers. Expressions reduced to linear expressions
 Transform, evaluate and compare values of expressions reduced to linear expressions. Integers. Fractional expressions. Properties of fractions. Rational coefficients
 Transform, evaluate and compare values of expressions reduced to linear expressions. Integers. Fractional expressions. Properties of fractions. Integer coefficients
 Transform, evaluate and compare values of expressions reduced to linear expressions. Integers. Fractional expressions. Method of substitution. Integer coefficients
 Transform, evaluate and compare values of expressions reduced to linear expressions. Integers. Fractional expressions. Method of substitution. Rational coefficients
 Transform, evaluate and compare values of expressions reduced to linear expressions. Integers. Linear expressions. Factorization of quadratic trinomial
 Transform, evaluate and compare values of expressions reduced to linear expressions. Integers. Linear expressions. Method of substitution. Distributive law
 Transform, evaluate and compare values of expressions reduced to linear expressions. Integers. Linear expressions. Method of substitution. Formulas of short multiplication
 Transform, evaluate and compare values of expressions reduced to linear expressions. Integers. Linear expressions. Properties of fractions. Distributive law
 Transform, evaluate and compare values of expressions reduced to linear expressions. Integers. Linear expressions. Properties of fractions. Formulas of short multiplication

Transform, evaluate and compare values of expressions reduced to quadratic expressions. Integers

 Transform, evaluate and compare values of expressions reduced to quadratic expressions. Integers. Elementary quadratic expressions
 Transform, evaluate and compare values of expressions reduced to quadratic expressions. Integers. Quadratic expressions containing fractions
 Transform, evaluate and compare values of expressions reduced to quadratic expressions. Integers. Quadratic expressions. Distributive law. Integer coefficients
 Transform, evaluate and compare values of expressions reduced to quadratic expressions. Integers. Quadratic expressions. Formulas of short multiplication
 Transform, evaluate and compare values of expressions reduced to quadratic expressions. Integers. Quadratic expressions. Distributive law. Rational coefficients
 Transform, evaluate and compare values of expressions reduced to quadratic expressions. Integers. Quadratic expressions. Factorization of quadratic trinomial
 Transform, evaluate and compare values of expressions reduced to quadratic expressions. Integers. Quadratic expressions. Properties of powers
 Transform, evaluate and compare values of expressions reduced to quadratic expressions. Integers. Quadratic expressions. Grouping method
 Transform, evaluate and compare values of expressions reduced to quadratic expressions. Integers. Quadratic expressions. Method of substitution. Distributive law. Integer coefficients
 Transform, evaluate and compare values of expressions reduced to quadratic expressions. Integers. Quadratic expressions. Method of substitution. Distributive law. Rational coefficients
 Transform, evaluate and compare values of expressions reduced to quadratic expressions. Integers. Quadratic expressions. Method of substitution. Formulas of short multiplication. Integer coefficients
 Transform, evaluate and compare values of expressions reduced to quadratic expressions. Integers. Quadratic expressions. Method of substitution. Formulas of short multiplication. Rational coefficients
 Transform, evaluate and compare values of expressions reduced to quadratic expressions. Integers. Quadratic expressions. Method of substitution. Grouping method
 Transform, evaluate and compare values of expressions reduced to quadratic expressions. Integers. Quadratic expressions. Method of substitution. Factorization of quadratic trinomial

Transform, evaluate and compare values of highdegree expressions. Integers

 Transform, evaluate and compare values of highdegree expressions. Integers. Algebraic highdegree expressions. Bezout theorem. Integer roots. Transform, evaluate and compare
 Transform, evaluate and compare values of highdegree expressions. Integers. Algebraic highdegree expressions. Bezout theorem. Irrational roots. Transform, evaluate and compare
 Transform, evaluate and compare values of highdegree expressions. Integers. Algebraic highdegree expressions. Bezout theorem. Integer roots. Transform, evaluate and compare
 Transform, evaluate and compare values of highdegree expressions. Integers. Algebraic highdegree expressions. Grouping method. Transform, evaluate and compare
 Transform, evaluate and compare values of highdegree expressions. Integers. Algebraic highdegree expressions. Bezout theorem. Irrational roots. Transform, evaluate and compare
 Transform, evaluate and compare values of highdegree expressions. Integers. Algebraic highdegree expressions. Formulas of short multiplication. Transform, evaluate and compare
 Transform, evaluate and compare values of highdegree expressions. Integers. Algebraic highdegree expressions. Factorization of quadratic trinomial. Transform, evaluate and compare
 Transform, evaluate and compare values of highdegree expressions. Integers. Algebraic highdegree expressions. Properties of fractions. Transform, evaluate and compare

Transform, evaluate and compare values of fractional expressions. Integers

 Transform, evaluate and compare values of fractional expressions. Integers. Fractional algebraic expressions reduced to a fraction with linear expression in numerator. Transform, evaluate and compare
 Transform, evaluate and compare values of fractional expressions. Integers. Fractional algebraic expressions reduced to a fraction with quadratic expression in numerator. Transform, evaluate and compare
 Transform, evaluate and compare values of fractional expressions. Integers. Fractional algebraic expressions reduced to a fraction with cubical expression in numerator. Transform, evaluate and compare
 Transform, evaluate and compare values of fractional expressions. Integers. Fractional algebraic expressions reduced to a fraction with biquadratic expression in numerator. Transform, evaluate and compare
 Transform, evaluate and compare values of fractional expressions. Integers. Fractional algebraic expressions reduced to a fraction with reciprocal expression in numerator. Transform, evaluate and compare.

Test the validity of equalities reduced to linear equalities. Integers

 Test the validity of equalities reduced to linear equalities. Integers. Elementary linear expressions
 Test the validity of equalities reduced to linear equalities. Integers. Elementary linear expressions containing fractions
 Test the validity of equalities reduced to linear equalities. Integers. Linear expressions. Distributive law
 Test the validity of equalities reduced to linear equalities. Integers. Linear expressions. Formulas of short multiplication
 Test the validity of equalities reduced to linear equalities. Integers. Linear expressions. Formulas of short multiplication. Cubes
 Test the validity of equalities reduced to linear equalities. Integers. Linear expressions. Properties of powers
 Test the validity of equalities reduced to linear equalities. Integers. Expressions reduced to linear expressions
 Test the validity of equalities reduced to linear equalities. Integers. Fractional expressions. Properties of fractions. Rational coefficients
 Test the validity of equalities reduced to linear equalities. Integers. Fractional expressions. Properties of fractions. Integer coefficients
 Test the validity of equalities reduced to linear equalities. Integers. Fractional expressions. Method of substitution. Integer coefficients
 Test the validity of equalities reduced to linear equalities. Integers. Fractional expressions. Method of substitution. Rational coefficients
 Test the validity of equalities reduced to linear equalities. Integers. Linear expressions. Factorization of quadratic trinomial
 Test the validity of equalities reduced to linear equalities. Integers. Linear expressions. Method of substitution. Distributive law
 Test the validity of equalities reduced to linear equalities. Integers. Linear expressions. Method of substitution. Formulas of short multiplication

Test the validity of equalities reduced to quadratic equalities. Integers

 Test the validity of equalities reduced to quadratic equalities. Integers. Elementary quadratic expressions. Simplify
 Test the validity of equalities reduced to quadratic equalities. Integers. Quadratic expressions containing fractions. Simplify
 Test the validity of equalities reduced to quadratic equalities. Integers. Quadratic expressions. Distributive law. Integer coefficients. Simplify
 Test the validity of equalities reduced to quadratic equalities. Integers. Quadratic expressions. Formulas of short multiplication. Simplify
 Test the validity of equalities reduced to quadratic equalities. Integers. Quadratic expressions. Distributive law. Rational coefficients. Simplify
 Test the validity of equalities reduced to quadratic equalities. Integers. Quadratic expressions. Factorization of quadratic trinomial. Simplify
 Test the validity of equalities reduced to quadratic equalities. Integers. Quadratic expressions. Properties of powers. Simplify
 Test the validity of equalities reduced to quadratic equalities. Integers. Quadratic expressions. Grouping method. Simplify
 Test the validity of equalities reduced to quadratic equalities. Integers. Quadratic expressions. Method of substitution. Distributive law. Integer coefficients. Simplify
 Test the validity of equalities reduced to quadratic equalities. Integers. Quadratic expressions. Method of substitution. Distributive law. Rational coefficients. Simplify
 Test the validity of equalities reduced to quadratic equalities. Integers. Quadratic expressions. Method of substitution. Formulas of short multiplication. Integer coefficients. Simplify
 Test the validity of equalities reduced to quadratic equalities. Integers. Quadratic expressions. Method of substitution. Formulas of short multiplication. Rational coefficients. Simplify
 Test the validity of equalities reduced to quadratic equalities. Integers. Fractional expressions. Method of substitution. Distributive law. Integer coefficients. Simplify
 Test the validity of equalities reduced to quadratic equalities. Integers. Fractional expressions. Method of substitution. Distributive law. Rational coefficients. Simplify

Test the validity of highdegree equalities. Integers

 Test the validity of highdegree equalities. Integers. Algebraic highdegree expressions. Bezout theorem. Integer roots. Test the validity of equality
 Test the validity of highdegree equalities. Integers. Algebraic highdegree expressions. Bezout theorem. Irrational roots. Test the validity of equality
 Test the validity of highdegree equalities. Integers. Algebraic highdegree expressions. Bezout theorem. Integer roots. Test the validity of equality
 Test the validity of highdegree equalities. Integers. Algebraic highdegree expressions. Grouping method. Test the validity of equality
 Test the validity of highdegree equalities. Integers. Algebraic highdegree expressions. Perfect square. Test the validity of equality
 Test the validity of highdegree equalities. Integers. Algebraic highdegree expressions. Bezout theorem. Irrational roots. Test the validity of equality
 Test the validity of highdegree equalities. Integers. Algebraic highdegree expressions. Formulas of short multiplication. Test the validity of equality
 Test the validity of highdegree equalities. Integers. Algebraic highdegree expressions. Difference of squares. Test the validity of equality
 Test the validity of highdegree equalities. Integers. Algebraic highdegree expressions. Properties of fractions. Test the validity of equality

Test the validity of fractional equalities. Integers

 Test the validity of fractional equalities. Integers. Elementary fractional algebraic expressions. Test the validity of equality
 Test the validity of fractional equalities. Integers. Fractional algebraic expressions reduced to a fraction with linear expression in numerator. Test the validity of equality
 Test the validity of fractional equalities. Integers. Fractional algebraic expressions reduced to a fraction with quadratic expression in numerator. Test the validity of equality
 Test the validity of fractional equalities. Integers. Fractional algebraic expressions reduced to a fraction with biquadratic expression in numerator. Test the validity of equality
 Test the validity of fractional equalities. Integers. Fractional algebraic expressions reduced to a fraction with reciprocal expression in numerator. Test the validity of equality

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