Math tasks, one page each

Add, subtract, multiply and divide fractions, with the result in lowest terms.

Test a number for primality, find its prime factors and count primes in a range.

Brackets, powers, negatives, decimals and long multiplication, in the right order of operations.

Convert mixed numbers and improper fractions, and add, subtract, multiply or divide them.

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.

Lengths, areas, volumes and distances, with the formula named at each step.

Use the additive property of length, AB + BC = AC, to find unknown lengths and x.

Exact trig values, angle formulas and triangle sides and angles, worked step by step.

Limits, derivatives and integrals in one place, each step titled with the rule it uses.

Differentiate a function using the product, quotient and chain rules, one step at a time.

Find indefinite integrals with + C or evaluate definite integrals, substitution and parts shown.

Evaluate limits at a point or at infinity, with factoring, highest powers and L'Hôpital's rule.

Add the first terms of a series exactly, using arithmetic, geometric and telescoping patterns.

Find the radius and interval of convergence of a power series with the ratio test and endpoint checks.

Find the limit of a sequence as n goes to infinity and decide whether it converges or diverges.

Test an infinite series for convergence with the divergence, p-series, ratio or comparison test.

Build Taylor and Maclaurin polynomials from a function's derivatives at a chosen center.

Evaluate triple integrals over boxes and solids, including spherical and cylindrical coordinates.

Find the mean of a list, a weighted average, or the missing value that gives a target average.

Find the coefficient of variation (relative standard deviation) of a sample or a population.

Find the middle value of a data set, for odd and even counts and frequency tables.

Find the chance of an event by counting outcomes, complements and combinations.

Combine the probabilities of two or three events: and, or, at least one, exactly one.

Find the mean, median, variance, standard deviation or z-score of a data set, one step at a time.

Find eigenvalues from the characteristic equation, and the eigenvectors that go with them.

Find A⁻¹ for 2×2 and 3×3 matrices, and use it to solve a linear system.

Add, subtract, transpose, find determinants, rank and reduced row echelon form.

Multiply matrices of any compatible size, each entry shown as a row times a column.

Magnitude, sums, dot and cross products, and angles between vectors, one step at a time.