Algebra tasks

Simplify, expand and factor expressions and solve equations, one step at a time.

Combine sums and differences of logarithms into a single logarithm.

Evaluate sigma notation: finite sums, sums of powers and infinite geometric series.

Evaluate functions, compose them, solve f(x) = k and simplify difference quotients.

Expand the logarithm of a product, quotient or power into simpler logarithms.

Write a formula for the nth term of an arithmetic or geometric sequence, or use one to find a term.

Factor polynomials: common factors, trinomials, grouping and differences of squares.

Find the common ratio of a geometric sequence from consecutive or distant terms.

Find the domain and range of roots, fractions, logarithms and quadratics.

Solve linear, absolute value and quadratic inequalities, with the answer as an interval.

Undo a natural or common logarithm by raising e or 10 to the power, then solve for x.

Evaluate log base 2 exactly or by change of base, and solve equations with log base 2.

Generate terms of a recursively defined sequence, or turn the rule into a formula in n.

Find the rule behind a list of numbers and use it to get any term.

Combine like terms, distribute brackets and reduce algebraic fractions, with each step shown.

Simplify square and cube roots, combine like radicals and rationalize denominators.

Rearrange a formula so the letter you choose stands alone on one side.

Solve linear systems in two or three unknowns by substitution or elimination.

Solve absolute value equations by cases, with every candidate checked.

Solve linear, quadratic and radical equations in one variable, with the check at the end.

Solve polynomial equations, and multiply or divide polynomials, one step at a time.

Solve linear equations in one variable, including brackets, decimals and fractions.