Create symbolic variables.

Create a single symbolic variable.

Convert a string to a SymPy expression.

Simplify an expression.

Simplify trigonometric expressions.

Simplify rational expressions.

Simplify powers in an expression.

Factor an expression.

Expand an expression.

Expand trigonometric expressions.

Expand logarithmic expressions.

Combine terms into a single fraction.

Perform partial fraction decomposition.

Cancel common factors in rational expression.

Solve an equation or system of equations.

Solve an equation using solveset.

Numerically solve an equation.

Differentiate an expression.

Integrate an expression.

Compute a limit.

Compute series expansion.

Compute a sum.

Compute a product.

Compute an unevaluated sum (Sum object).

Compute an unevaluated product (Product object).

Create a Derivative object (unevaluated).

Create an Integral object (unevaluated).

Create a matrix from rows.

Add two matrices.

Multiply two matrices.

Compute matrix inverse.

Compute matrix determinant.

Transpose a matrix.

Compute eigenvalues of a matrix.

Compute eigenvectors of a matrix.

Create an identity matrix.

Create a zero matrix.

Create a matrix of ones.

Create a diagonal matrix.

Convert expression to LaTeX.

Convert expression to Python code.

Convert expression to MathML.

Convert expression to string.

Get repr of expression.

Create an interval.

Create a finite set.

Compute union of two sets.

Compute intersection of two sets.

Compute complement of set1 in set2.

Toggle evaluation globally.

Evaluate expression numerically.

Evaluate expression to floating point.

Exponential function.

Natural logarithm.

Logarithm with specified base.

Sine function.

Cosine function.

Tangent function.

Hyperbolic sine.

Hyperbolic cosine.

Hyperbolic tangent.

Arc sine.

Arc cosine.

Arc tangent.

Square root.

Cube root.

N-th root.

Floor function.

Ceiling function.

Absolute value.

Factorial.

Binomial coefficient.

Gamma function.

Riemann zeta function.

Error function.

Dirichlet eta function.

Polylogarithm.

Fibonacci number.

Lucas number.

Catalan number.

Check if n is prime.

Return the n-th prime.

Return the next prime after n.

Return the previous prime before n.

Euler's totient function.

Return divisors of n.

Greatest common divisor.

Least common multiple.

Integer factorization.

Create a polynomial.

Degree of polynomial.

Find roots of polynomial.

Get coefficient.

Substitute in expression.

Get atoms (atomic components) of expression.

Get free symbols in expression.

Get arguments of expression.

Get head function of expression.

Get type of expression.

Create equality.