| Function | Action |
| |
| variable = . | The variable loses its value |
| Clear[ variable1, variable2, ... ] | The variables lose their values |
| expression1 /. variable -> expression2 | Replaces variable in expr1 with expr2 respectively |
| expression1 /. {var.1-> expression2, var.2 -> expression2,...} | Replacement of the variables 1, 2, .. in expr1 by their values respectively |
| expression // Short | Shows the first member of the expression |
| Short [ expression , n ] | Shows the first n members of the expression |
| Length [ expression ] | Gives the number of members |
| If[ if expr1, then expr2, else expr3] | Logical verification |
| |
| Expand[ expression ] | Removes the parentheses and reduces the members in expression |
| Simplify[ expression ] | Simplifies by reducing the members of expression if possible |
| Expand[ expression , Trig -> True] | Expand out trigonometric expression by applying trigonometric identities |
| Complex Expand[ expression ] | Expand out complex expression |
| LogicalExpand [ expression ] | Expand out logical expression |
| |
| Factor[ expression ] | Represents polynomial expression as factors |
| Factor[ expression , Trig -> True ] | Factors trigonometric expressions by applying trigonometric identities |
| ExpandAll[ expression ] | Expands all |
| Together [ expression ] | Reduces to a common denominator |
| Apart[ expression ] | Expands to simple fractions |
| Cancel[ expression ] | Cancels a numerator with a denominator |
| Collect [ expression , x ] | Groups by power of x |
| FactorTerms [ expression , x ] | Derives the factors independent from x |
| |
| Numerator [ expression ] | Takes only the numerator of expression |
| Denominator [ expression ] | Takes only the denumerator |
| ExpandNumerator [ expression ] | Expands only the numerator |
| ExpandDenominator [ expression ] | Expands only the denumerator |
| InterpolatingPolynomial[{{x1,f1},{x2,f2}, ...},x] | Interpolates with a polynomial according to the power of x |