Instructions for evaluating algebraic expressions:
Instruction Meaning Example(s)
Write the given expression. Searches for the given expression in the text of the problem and writes the expression. Evaluate 2*(3-7).
Write the given expression.
2*(3-7)
Substitute. Replaces all variables by their value. 2+x where x=4
Substitute.
2+4
Evaluate the parenthesis. Searches for numbers in parenthesis and nested parenthesis and removes them. 2+((4))
Remove parenthesis.
2+4
Add. Searches from left to right for an addition of two numbers and evaluates it. 2*3+5+6+7
Add.
2*3+11+7
Subtract. Searches from left to right for a subtraction of two numbers and evaluates it. 2*3+5-6-7
Subtract.
2*3-1+7
Multiply. Searches from left to right for a multiplication of two numbers and evaluates it. 2+3*5-6*7
Multiply.
2+15-6*7
Divide. Searches from left to right for a division of two numbers and evaluates it. 3+10/5-6/7
Divide.
3+2-6/7
Evaluate the power. Searches from left to right for a power, where the base is a number and the exponent is a counting number and evaluates it. 3+3^2+4^3
Evaluate the power.
3+9+4^3
Evaluate the square root. Searches from left to right for the square root of a number and evaluates it. 3+sqrt(9)+sqrt(2)
Evaluate the square root.
3+3+sqrt(2)
Add number and number. Searches from left to right for the sum of the given numbers and evaluates it. (3+4)*(5+6+7)
Add 6 and 7.
(3+4)*(5+13)
Add number to number. Searches from left to right for the sum of the given numbers in reverse order and evaluates it. (7+6)*(5+6+7)
Add 7 to 6.
(7+6)*(5+13)
Subtract number from number. Searches from left to right for the difference of the given numbers and evaluates it. (3-4)*(-5-6+7)
Subtract 6 from -5.
(3+4)*(-11+7)
Multiply number by number. Searches from left to right for the product of the given numbers and evaluates it. (3*4)/(5*6+7)
Multiply 5 by 6.
(3*4)/(30+7)
Divide number by number. Searches from left to right for the quotient of the given numbers and evaluates it. (3/4)*(125/5+7)
Divide 125 by 5.
(3/4)*(25+7)
Evaluate number to the power of number. Searches from left to right for a power, where the base is the first number and the exponent is the second number and evaluates it. (3^4)*(3^2+7)
Evaluate 3 to the power of 2.
(3^4)*(9+7)
Evaluate the square root of number. Searches from left to right for the square root of the given number and evaluates it. sqrt(4)*(sqrt(9)+7)
Evaluate the square root of 9.
sqrt(4)*(3+7)
Do the arithmetic. Evalutes sums, differences, products, quotients, powers ans square roots of numbers in expressions and equations. 2*(3+3)-2.
Do the arithmetic.
10
Convert unit to unit. Convert a unit to a different unit. 2in+3cm
Convert in to cm.
5.5cm+3cm
Combine like terms. Combines like terms. 3*x+6*x+7
Combine like terms.
9*x+7
Replace expression with expression. Searches from left to right for the expression and replaces it with the other expression. 3*(1+x)
Replace 1+x with x+1.
3*(x+1)
Replace name. Replace a variable with the expression. a+b
Replace a with x+1
x+1+b
Replace expression with law law. Use a law to replace an expression with another expression. x*(2*y+5)-17
Replace x*(2*y+5) with law 3
(x*(2*y)+x*5)-17
Replace expression with expression with law number. Use a law to replace an expression with another expression. x*(2*y+5)-17
Replace x*(2*y+5) with x*(2*y)+x*5 with law 3.
(x*(2*y)+x*5)-17
Replace expression with expression. Replace an expression with another expression. x*(2*y+5)-17
Replace x*(2*y+5) with x*(2*y)+x*5.
(x*(2*y)+x*5)-17
Commute expression and expression. Commutes two terms in an sum or two factors in a product. 1+x+4*y
Commute x and 4*y.
1+4*y+x
Remove parenthesis. Use order of operations to remove parenthesis. (2+x)+5
Remove parenthesis.
2+x+5
Set parenthesis. Use order of operations to set parenthesis. 2+x+5
Remove parenthesis.
(2+x)+5
Do the arithmetic. Evalutes sums, differences, products, quotients, powers ans square roots of numbers in expressions and equations. 2*(3+3)-2*x=5/2
Do the arithmetic.
12-2*x=2.5

Instructions for manipulating algebraic equations:
Instruction Meaning Example(s)
Write the given equation. Searches for the given equation in the text of the problem and writes the equation. Solve 2*(3-x)=5.
Write the given equation.
2*(3-x)=5
Use name. Use a law to start a proof. Use Law 1.
a+b=b+a
Apply name. Apply a concept. Apply the definition of kinetic energy.
K=0.5*m*v^2. K is the kinetic energy. M is the mass. v is the velocity.
Add number. Add a number to both members of an equation. x-5=7
Add 5.
x-5+5=7+5
Subtract number. Subtract a number to both members of an equation. x+5=7
Subtract 5.
x+5-5=7-5
Multiply by number. Multiplies both members of an equation by a number. x/5=7
Multiply by 5.
x/5*5=7*5
Divide by number. Divides both members of an equation by a number. 5*x=7
Divide by 5.
5*x/5=7/5
Undo the addition. Undoes an addition in a linear equation. x+3=6
Undo the addition.
x=6-3
Undo the subtraction. Undoes a subtraction in a linear equation. x-3=6
Undo the subtraction.
x=6+3
Undo the multiplication. Undoes a multiplication in a linear equation. 5*x=15
Undo the multiplication.
x=15/5
Undo the division. Undoes a division in a linear equation. x/5=3
Undo the division.
x=3*5
Exchange the members. Exchanges the two members of an equation. 15=2*x+5
Exchange the members.
2*x+5=15
Solve for the unknown. Solves for the variable. 2+x=5
Solve for the unknown.
x=3

Other instructions:
Instruction Meaning Example(s)
Underline the result. Indicates that this is the result. x=5
Underline the result.
x=5
List all expressions. Lists all expressions. 5+(3+5)
List all expressions.
Expression _39 is a sum with the argument ,_36,-,_37.
Expression _40 is a sum with the argument ,_35,+,_39.
Expression _36 is a decimal with the argument 3.
Expression _35 is a decimal with the argument 5.
Expression _37 is a decimal with the argument 5.
Memorize this law. Adds a law to the list of laws for the given problem. 1+x+1=2+x
Memorize this law.
Law 37 is "1+x+1=2+x".
This is the answer. The answer is set equal to current equation or expression. m=7
This is the answer.
The answer is "m=7".
Read URL. Read the facts in URL. Read Algebra_Methods.html.
Okay, I read Algebra_Methods.html.