
 Get a private math tutor right on your desk! All students need help at some point, so be sure to get the help you need. With dozens of interactive learning techniques and a unique system of error analysis, EMMentor provides a qualified training of problem solving skills. He will offer you a task, ask you questions, give you hints as you need them, analyse your answers, trace your errors, detect gaps in your theoretical knowledge and problem solving skills and generate optimal exercises to close these gaps. EMMentor is here to help you figure out how to learn math for yourself. Those who stick with EMMentor will come away with a stronger understanding of fundamental math concepts, improved higherlevel thinking skills and excellent practical skills in solving math problems! Free fully functional downloadable version of EMMentor is available. Our online demos enable you to try a number of training techniques and observe examples of error analysis. 


Parameters of the program
Name of program:

EMMentor_Arithmetic

Number of problems:

36319

Number of similar variants:

15

Languages of interface:

English, German

Price:

178 EUR

Size of archive:

4217 kb

Abstract. EMMentor_Arithmetic is a new generation interactive training program that offers a large number of math problems, a variety of appropriate techniques to solve problems and a unique system of performance analysis with methodical feedback. Students at all levels can practice at their own pace, review their own work, monitor their weaknesses and achievements, and get methodical recommendations for building missing math knowledge and skills.Covered topics are arithmetic and prealgebra. The program includes 36319 math problems of 11 levels of complexity, from basic to advanced. For each math problem, EMMentor offers a set of methodical tasks to be discharged at each step of problem solution. Your work will be throughly analysed with respect to multiple parameters. You can review the distributions of your errors throughout the solution steps, over formulas and other math concepts, over topics, etc. Based on this joint error distribution, EMMentor provides an optimal set of tasks for error correction. In addition, EMMentor offers a number of test authoring options that automate creation of math tests, quizzes, homeworks and exams of varied complexity and enable automatic generation of a number of variants around each test. The tests with or without the solutions can be printed out or stored in a file and reused. Dozens of variant tests are ready for students to review and reinforce their math skills. Each definition, rule etc can be instantly translated to German or another available language.
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  YOUR PERSONAL MATH TEACHER
Press release
ABSTRACT. EMTeachline Software has released a PCbased interactive mathematics software brand EMMentor that tutors in solving math problems. This encyclopedic software contains hundreds thousands of fully explained step by step solutions to math problems from basic to advanced and thousands of related definitions, rules, formulas and theorems. Based on a unique teaching technology, EMMentor controls, analyses and grades your performance, detects gaps in your theoretical knowledge and problemsolving skills, and generates an optimal set of tasks to close the revealed gaps. This software helps kids grasp math concepts and build problem solving skills much more effectively than any classroom teacher. For teachers and parents, EMMentor offers a comprehensive objective analysis of children's performance, with tables and plots, and methodical recommendations for error correction. Easytouse authoring options automate development of math tests and homeworks. The software is designed for mathematics selfstudy. Provides an ideal help for math teachers. Suitable for elementary, middle and high school use.
1. SOFTWARE OVERVIEW
The EMTeachline Interactive Mathematics Software EMMentor provides kids and teens with the chance to build outstanding problemsolving skills in math without any external help. Based on a brandnew teaching technology, this highly interactive software will help you much more effectively than any classroom teacher.
EMMentor includes a set of original interactive training techniques and a unique system of performance analysis with methodical feedbacks. Each technique consists of a set of questions asked at each step of task performance and a system of multiple choice answers with hints. Based on an analysis of your answers, the software detects gaps in your theoretical knowledge and problemsolving skills and summarises your errors. To correct errors and develop missing skills, EMMentor offers an optimal set of exercises.
The error analysis is made for a particular task performance, as well as for a number of tasks performed during the selected period of time. EMMentor shows, in tables and on plots, how many errors were made and how many hints were used at each step of solution within one technique, the distributions of errors and hints throughout the techniques, over formulas and other math categories, the total number of errors per topic, etc. The concluding methodical recommendations are based on an objective analysis of these joint error distributions. Any teacher or tutor will find this function to be extremely useful.
As a multilingual tutoring program, EMMentor offers a way for children to learn math lexicon in a foreign language. Translation of any text to German or another available language is easily obtained by doubleclicking on it. Those kids who study not in a native language will find this option invaluable.
Covered subject areas are arithmetic, prealgebra, algebra, trigonometry and hyperbolic trigonometry. All math problems are graded in 11 complexity classes from basic to advanced and provided with fully explained step by step solutions. Comprehensive tutoring material is provided for each solution step. The available test authoring options automate development of tests, quizzes, homeworks and exams. All developed materials can be printed out or stored in a file and reused.
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 will get a diagnosis of all vacancies in your math skills. You can train the missing problem solving skills with the help of dozens of interactive training techniques. You can effectively learn definitions, rules and other math concepts, study solution methods, pick up skills of verbal formulation of math transformations, learn proofs of math formulas and theorems, develop reasoning skills etc. And in parallel, you can 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 variants of math tests; use dozens of ready variant tests. For each student of yours, you can get an objective analysis of his/her work, revealing his/her weak and strong points, together with an optimal set of tasks for error correction.
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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