Prompt Library

Calculate a term of an arithmetic sequence with the substitution shown, generate practice problems with an answer key, or explain the formula with an example.

Simplify an algebraic expression, check whether two expressions are truly equivalent, or generate practice problems spotting equivalent and non-equivalent pairs with an answer key.

Find any term of a geometric sequence with exponent steps shown, generate practice problems with an answer key, or explain the formula through an example.

Solve a growth or decay word problem by extracting the starting amount, rate, and elapsed time, or generate practice problems with an answer key.

Generate a full asymptote, hole, and intercept analysis of a rational function through factoring, or produce fresh practice problems with an answer key.

Convert a linear equation between slope-intercept, point-slope, and standard form with every algebraic step shown, or build one from a slope and a point.

Generate a solved system of two or three linear equations by substitution or elimination, with steps verified, or fresh practice systems with an answer key.

Add, subtract, multiply, or divide two complex numbers with tracked real and imaginary parts, or generate practice problems across all four operations.

Evaluate a logarithm in exponential form, solve a log equation with solutions checked against the domain, expand or condense expressions, and generate practice problems.

Classify a conic equation as a circle, ellipse, parabola, or hyperbola using the coefficient test, convert to standard form, or build one from a description.

Convert numbers to and from scientific notation or solve arithmetic on them with exponent and coefficient steps shown, plus practice problems with an answer key.

Convert numbers to and from Roman numerals with each symbol step shown and verified, or generate fresh conversion practice problems with an answer key.

Factor a trinomial, difference of squares, or GCF-style polynomial with the result verified by expansion, or generate a mixed batch of factoring practice problems.

Explain whether a sequence is arithmetic, geometric, or quadratic using differences and ratios, derive its formula, or generate mixed-pattern practice sequences with an answer key.

Find the slope between two points and build the slope-intercept or point-slope equation with every step verified, or generate practice problems with an answer key.

Multiply two matrices with every row-by-column dot product shown step by step, or generate fresh matrix pairs at a chosen size with an answer key.