{ "math": { "name": "Math", "description": "Mathematics problems, including algebra, geometry, calculus, and more.", "topics": { "algebra": { "name": "Algebra", "description": "Algebra problems, including including expressions, equations, and more.", "topics": { "linear-equations": { "name": "Linear Equations", "description": "Problems involving linear equations.", "topics": { "standardForm": { "name": "Standard Form", "description": "Problems involving linear equations in standard form (ax + b = c).", "parameters": { "minCoefficient": { "type": "number", "name": "Minimum Coefficient", "description": "The minimum value for the coefficient a.", "default": -20, "min": -10000, "max": 10000 }, "maxCoefficient": { "type": "number", "name": "Maximum Coefficient", "description": "The maximum value for the coefficient a.", "default": 20, "min": -10000, "max": 10000 }, "minConstant": { "type": "number", "name": "Minimum Constant", "description": "The minimum value for the constant b.", "default": -20, "min": -10000, "max": 10000 }, "maxConstant": { "type": "number", "name": "Maximum Constant", "description": "The maximum value for the constant b.", "default": 20, "min": -10000, "max": 10000 }, "minSolution": { "type": "number", "name": "Minimum Solution", "description": "The minimum value for the solution c.", "default": -20, "min": -10000, "max": 10000 }, "maxSolution": { "type": "number", "name": "Maximum Solution", "description": "The maximum value for the solution c.", "default": 20, "min": -10000, "max": 10000 } } }, "withFractions": { "name": "With Fractions", "description": "Problems involving linear equations with fractions (ax/b = c).", "parameters": { "minCoefficient": { "type": "number", "name": "Minimum Coefficient", "description": "The minimum value for the coefficient a.", "default": -20, "min": -10000, "max": 10000 }, "maxCoefficient": { "type": "number", "name": "Maximum Coefficient", "description": "The maximum value for the coefficient a.", "default": 20, "min": -10000, "max": 10000 }, "minDenominator": { "type": "number", "name": "Minimum Denominator", "description": "The minimum value for the denominator(b) of the fraction.", "default": 2, "min": 2, "max": 10000 }, "maxDenominator": { "type": "number", "name": "Maximum Denominator", "description": "The maximum value for the denominator(b) of the fraction.", "default": 10, "min": 2, "max": 10000 }, "minSolution": { "type": "number", "name": "Minimum Solution", "description": "The minimum value for the solution c.", "default": -20, "min": -10000, "max": 10000 }, "maxSolution": { "type": "number", "name": "Maximum Solution", "description": "The maximum value for the solution c.", "default": 20, "min": -10000, "max": 10000 } } }, "withParentheses": { "name": "With Parentheses", "description": "Problems involving linear equations with parentheses (a(x + b) = c).", "parameters": { "minCoefficient": { "type": "number", "name": "Minimum Coefficient", "description": "The minimum value for the coefficient a.", "default": -20, "min": -10000, "max": 10000 }, "maxCoefficient": { "type": "number", "name": "Maximum Coefficient", "description": "The maximum value for the coefficient a.", "default": 20, "min": -10000, "max": 10000 }, "minConstant": { "type": "number", "name": "Minimum Constant", "description": "The minimum value for the constant b.", "default": -20, "min": -10000, "max": 10000 }, "maxConstant": { "type": "number", "name": "Maximum Constant", "description": "The maximum value for the constant b.", "default": 20, "min": -10000, "max": 10000 }, "minSolution": { "type": "number", "name": "Minimum Solution", "description": "The minimum value for the solution c.", "default": -20, "min": -10000, "max": 10000 }, "maxSolution": { "type": "number", "name": "Maximum Solution", "description": "The maximum value for the solution c.", "default": 20, "min": -10000, "max": 10000 } } }, "withAbsoluteValue": { "name": "With Absolute Value", "description": "Problems involving linear equations with absolute value (|ax + b| = c).", "parameters": { "minCoefficient": { "type": "number", "name": "Minimum Coefficient", "description": "The minimum value for the coefficient a.", "default": -20, "min": -10000, "max": 10000 }, "maxCoefficient": { "type": "number", "name": "Maximum Coefficient", "description": "The maximum value for the coefficient a.", "default": 20, "min": -10000, "max": 10000 }, "minConstant": { "type": "number", "name": "Minimum Constant", "description": "The minimum value for the constant b.", "default": -20, "min": -10000, "max": 10000 }, "maxConstant": { "type": "number", "name": "Maximum Constant", "description": "The maximum value for the constant b.", "default": 20, "min": -10000, "max": 10000 }, "minSolution": { "type": "number", "name": "Minimum Solution", "description": "The minimum value for the solution c.", "default": 1, "min": 1, "max": 10000 }, "maxSolution": { "type": "number", "name": "Maximum Solution", "description": "The maximum value for the solution c.", "default": 20, "min": 1, "max": 10000 } } }, "slopeInterceptForm": { "name": "Slope-Intercept Form", "description": "Problems involving linear equations in slope-intercept form (y = mx + b), solving for slope and y-intercept.", "parameters": { "isMCQ": { "type": "boolean", "name": "Multiple Choice", "description": "Whether the problem is multiple choice.", "default": true }, "isSimplified": { "type": "boolean", "name": "Simplified", "description": "Whether the problem is simplified.", "default": false }, "minSlope": { "type": "number", "name": "Minimum Slope", "description": "The minimum value for the slope m.", "default": -20, "min": -10000, "max": 10000 }, "maxSlope": { "type": "number", "name": "Maximum Slope", "description": "The maximum value for the slope m.", "default": 20, "min": -10000, "max": 10000 }, "minYIntercept": { "type": "number", "name": "Minimum Y-Intercept", "description": "The minimum value for the y-intercept b.", "default": -20, "min": -10000, "max": 10000 }, "maxYIntercept": { "type": "number", "name": "Maximum Y-Intercept", "description": "The maximum value for the y-intercept b.", "default": 20, "min": -10000, "max": 10000 } } }, "pointSlopeForm": { "name": "Point-Slope Form", "description": "Problems involving linear equations in point-slope form (y - y1 = m(x - x1)), solving for slope and (x1, y1).", "parameters": { "isMCQ": { "type": "boolean", "name": "Multiple Choice", "description": "Whether the problem is multiple choice.", "default": true }, "isSimplified": { "type": "boolean", "name": "Simplified", "description": "Whether the problem is simplified.", "default": false }, "minSlope": { "type": "number", "name": "Minimum Slope", "description": "The minimum value for the slope m.", "default": -20, "min": -10000, "max": 10000 }, "maxSlope": { "type": "number", "name": "Maximum Slope", "description": "The maximum value for the slope m.", "default": 20, "min": -10000, "max": 10000 }, "minPoint": { "type": "number", "name": "Minimum Point", "description": "The minimum value for the point (x1, y1).", "default": -20, "min": -10000, "max": 10000 }, "maxPoint": { "type": "number", "name": "Maximum Point", "description": "The maximum value for the point (x1, y1).", "default": 20, "min": -10000, "max": 10000 } } }, "graphingLinearEquations": { "name": "Graphing Linear Equations", "description": "Problems involving graphing linear equations. Given a linear equation, graph the line.", "parameters": { "includeStandard": { "type": "boolean", "name": "Include Standard Form", "description": "Whether to include the standard form option.", "default": true }, "includeSlopeIntercept": { "type": "boolean", "name": "Include Slope-Intercept Form", "description": "Whether to include the slope-intercept form option.", "default": true }, "includePointSlope": { "type": "boolean", "name": "Include Point-Slope Form", "description": "Whether to include the point-slope form option.", "default": true } } } } }, "complex-numbers": { "name": "Complex Numbers", "description": "Problems involving complex numbers, including arithmetic, roots, and equations.", "topics": { "properties-and-rules": { "name": "Basic Properties and Rules", "description": "Problems involving the basic properties and rules of complex numbers.", "topics": { "conjugate": { "name": "Complex Conjugate", "description": "Problems involving the concept of complex conjugates. Example: The conjugate of (a + bi) is (a - bi).", "parameters": { "minReal": { "type": "number", "name": "Minimum Real Part", "description": "The minimum value for the real part a.", "default": -20, "min": -10000, "max": 10000 }, "maxReal": { "type": "number", "name": "Maximum Real Part", "description": "The maximum value for the real part a.", "default": 20, "min": -10000, "max": 10000 }, "minImaginary": { "type": "number", "name": "Minimum Imaginary Part", "description": "The minimum value for the imaginary part b.", "default": -20, "min": -10000, "max": 10000 }, "maxImaginary": { "type": "number", "name": "Maximum Imaginary Part", "description": "The maximum value for the imaginary part b.", "default": 20, "min": -10000, "max": 10000 } } }, "modulus": { "name": "Modulus", "description": "Problems involving the modulus (absolute value) of complex numbers. Example: |3 + 4i| = √(3² + 4²) = 5.", "parameters": { "minReal": { "type": "number", "name": "Minimum Real Part", "description": "The minimum value for the real part a.", "default": -20, "min": -10000, "max": 10000 }, "maxReal": { "type": "number", "name": "Maximum Real Part", "description": "The maximum value for the real part a.", "default": 20, "min": -10000, "max": 10000 }, "minImaginary": { "type": "number", "name": "Minimum Imaginary Part", "description": "The minimum value for the imaginary part b.", "default": -20, "min": -10000, "max": 10000 }, "maxImaginary": { "type": "number", "name": "Maximum Imaginary Part", "description": "The maximum value for the imaginary part b.", "default": 20, "min": -10000, "max": 10000 } } }, "equatingComplexNumbers": { "name": "Equating Complex Numbers", "description": "Problems involving the equality of two complex numbers, which requires equating their real and imaginary parts separately. Example: If a + bi = c + di, then a = c and b = d.", "parameters": { "isMCQ": { "type": "boolean", "name": "Multiple Choice", "description": "Whether the problem is multiple choice.", "default": true }, "minReal": { "type": "number", "name": "Minimum Real Part", "description": "The minimum value for the real part a.", "default": -20, "min": -10000, "max": 10000 }, "maxReal": { "type": "number", "name": "Maximum Real Part", "description": "The maximum value for the real part a.", "default": 20, "min": -10000, "max": 10000 }, "minImaginary": { "type": "number", "name": "Minimum Imaginary Part", "description": "The minimum value for the imaginary part b.", "default": -20, "min": -10000, "max": 10000 }, "maxImaginary": { "type": "number", "name": "Maximum Imaginary Part", "description": "The maximum value for the imaginary part b.", "default": 20, "min": -10000, "max": 10000 } } }, "realImaginaryPart": { "name": "Real and Imaginary Parts", "description": "Problems involving the identification and manipulation of the real and imaginary parts of complex numbers. Example: In 3 + 4i, the real part is 3, and the imaginary part is 4.", "parameters": { "isMCQ": { "type": "boolean", "name": "Multiple Choice", "description": "Whether the problem is multiple choice.", "default": true }, "minReal": { "type": "number", "name": "Minimum Real Part", "description": "The minimum value for the real part a.", "default": -20, "min": -10000, "max": 10000 }, "maxReal": { "type": "number", "name": "Maximum Real Part", "description": "The maximum value for the real part a.", "default": 20, "min": -10000, "max": 10000 }, "minImaginary": { "type": "number", "name": "Minimum Imaginary Part", "description": "The minimum value for the imaginary part b.", "default": -20, "min": -10000, "max": 10000 }, "maxImaginary": { "type": "number", "name": "Maximum Imaginary Part", "description": "The maximum value for the imaginary part b.", "default": 20, "min": -10000, "max": 10000 } } }, "solvingComplexEquations": { "name": "Solving Complex Equations", "description": "Problems that involve solving for an unknown complex number, typically using basic algebraic techniques. Example: Solve for z in z + (3 - 2i) = 5 + i.", "parameters": { "isMCQ": { "type": "boolean", "name": "Multiple Choice", "description": "Whether the problem is multiple choice.", "default": true }, "minReal": { "type": "number", "name": "Minimum Real Part", "description": "The minimum value for the real part a.", "default": -20, "min": -10000, "max": 10000 }, "maxReal": { "type": "number", "name": "Maximum Real Part", "description": "The maximum value for the real part a.", "default": 20, "min": -10000, "max": 10000 }, "minImaginary": { "type": "number", "name": "Minimum Imaginary Part", "description": "The minimum value for the imaginary part b.", "default": -20, "min": -10000, "max": 10000 }, "maxImaginary": { "type": "number", "name": "Maximum Imaginary Part", "description": "The maximum value for the imaginary part b.", "default": 20, "min": -10000, "max": 10000 } } } } }, "addition-subtraction": { "name": "Addition and Subtraction", "description": "Basic operations with complex numbers, including addition, subtraction, multiplication, and division.", "topics": { "basicAdditionSubtraction": { "name": "Basic Addition and Subtraction", "description": "Problems involving basic addition and subtraction of complex numbers. Example: (3 + 2i) - (1 - i)", "parameters": { "isMCQ": { "type": "boolean", "name": "Multiple Choice", "description": "Whether the problem is multiple choice.", "default": true }, "minReal": { "type": "number", "name": "Minimum Real Part", "description": "The minimum value for the real part a.", "default": -20, "min": -10000, "max": 10000 }, "maxReal": { "type": "number", "name": "Maximum Real Part", "description": "The maximum value for the real part a.", "default": 20, "min": -10000, "max": 10000 }, "minImaginary": { "type": "number", "name": "Minimum Imaginary Part", "description": "The minimum value for the imaginary part b.", "default": -20, "min": -10000, "max": 10000 }, "maxImaginary": { "type": "number", "name": "Maximum Imaginary Part", "description": "The maximum value for the imaginary part b.", "default": 20, "min": -10000, "max": 10000 } } }, "multipleComplexNumbers": { "name": "Multiple Complex Numbers", "description": "Addition and subtraction of multiple complex numbers in a single problem. Example: (2 + i) + (3 - 2i) - (1 + 4i)", "parameters": { "isMCQ": { "type": "boolean", "name": "Multiple Choice", "description": "Whether the problem is multiple choice.", "default": true }, "minReal": { "type": "number", "name": "Minimum Real Part", "description": "The minimum value for the real part a.", "default": -20, "min": -10000, "max": 10000 }, "maxReal": { "type": "number", "name": "Maximum Real Part", "description": "The maximum value for the real part a.", "default": 20, "min": -10000, "max": 10000 }, "minImaginary": { "type": "number", "name": "Minimum Imaginary Part", "description": "The minimum value for the imaginary part b.", "default": -20, "min": -10000, "max": 10000 }, "maxImaginary": { "type": "number", "name": "Maximum Imaginary Part", "description": "The maximum value for the imaginary part b.", "default": 20, "min": -10000, "max": 10000 }, "numComplexNumbers": { "type": "number", "name": "Number of Complex Numbers", "description": "The number of complex numbers to include.", "default": 3, "min": 2, "max": 5 } } }, "constantWithComplexNumber": { "name": "Constant with Complex Number", "description": "Problems involving the addition or subtraction of real constants and complex numbers. Example: 5 + (3 + 2i)", "parameters": { "isMCQ": { "type": "boolean", "name": "Multiple Choice", "description": "Whether the problem is multiple choice.", "default": true }, "minReal": { "type": "number", "name": "Minimum Real Part", "description": "The minimum value for the real part a.", "default": -20, "min": -10000, "max": 10000 }, "maxReal": { "type": "number", "name": "Maximum Real Part", "description": "The maximum value for the real part a.", "default": 20, "min": -10000, "max": 10000 }, "minImaginary": { "type": "number", "name": "Minimum Imaginary Part", "description": "The minimum value for the imaginary part b.", "default": -20, "min": -10000, "max": 10000 }, "maxImaginary": { "type": "number", "name": "Maximum Imaginary Part", "description": "The maximum value for the imaginary part b.", "default": 20, "min": -10000, "max": 10000 }, "constant": { "type": "number", "name": "Real Constant", "description": "The real constant to be added or subtracted.", "default": null, "min": -10000, "max": 10000 }, "allowAddition": { "type": "boolean", "name": "Allow Addition", "description": "Whether to allow addition.", "default": true }, "allowSubtraction": { "type": "boolean", "name": "Allow Subtraction", "description": "Whether to allow subtraction.", "default": true } } }, "modulusAdditionSubtraction": { "name": "Modulus Addition and Subtraction", "description": "Problems involving the modulus (absolute value) of complex numbers in addition and subtraction. Example: |3 + 4i| + |1 - i|", "parameters": { "isMCQ": { "type": "boolean", "name": "Multiple Choice", "description": "Whether the problem is multiple choice.", "default": true }, "minReal": { "type": "number", "name": "Minimum Real Part", "description": "The minimum value for the real part a.", "default": -20, "min": -10000, "max": 10000 }, "maxReal": { "type": "number", "name": "Maximum Real Part", "description": "The maximum value for the real part a.", "default": 20, "min": -10000, "max": 10000 }, "minImaginary": { "type": "number", "name": "Minimum Imaginary Part", "description": "The minimum value for the imaginary part b.", "default": -20, "min": -10000, "max": 10000 }, "maxImaginary": { "type": "number", "name": "Maximum Imaginary Part", "description": "The maximum value for the imaginary part b.", "default": 20, "min": -10000, "max": 10000 } } } } }, "multiplication": { "name": "Multiplication", "description": "Problems involving the multiplication of complex numbers.", "topics": { "basicMultiplication": { "name": "Basic Multiplication", "description": "Basic problems involving the multiplication of complex numbers. Example: (2 + i) * (1 - i)", "parameters": { "isMCQ": { "type": "boolean", "name": "Multiple Choice", "description": "Whether the problem is multiple choice.", "default": true }, "minReal": { "type": "number", "name": "Minimum Real Part", "description": "The minimum value for the real part a.", "default": -20, "min": -10000, "max": 10000 }, "maxReal": { "type": "number", "name": "Maximum Real Part", "description": "The maximum value for the real part a.", "default": 20, "min": -10000, "max": 10000 }, "minImaginary": { "type": "number", "name": "Minimum Imaginary Part", "description": "The minimum value for the imaginary part b.", "default": -20, "min": -10000, "max": 10000 }, "maxImaginary": { "type": "number", "name": "Maximum Imaginary Part", "description": "The maximum value for the imaginary part b.", "default": 20, "min": -10000, "max": 10000 } } }, "multipleComplexNumbers": { "name": "Multiple Complex Numbers Multiplication", "description": "Multiplication of several complex numbers. Example: (1 + i) * (3 - i) * (2 + 4i)", "parameters": { "isMCQ": { "type": "boolean", "name": "Multiple Choice", "description": "Whether the problem is multiple choice.", "default": true }, "minReal": { "type": "number", "name": "Minimum Real Part", "description": "The minimum value for the real part a.", "default": -20, "min": -10000, "max": 10000 }, "maxReal": { "type": "number", "name": "Maximum Real Part", "description": "The maximum value for the real part a.", "default": 20, "min": -10000, "max": 10000 }, "minImaginary": { "type": "number", "name": "Minimum Imaginary Part", "description": "The minimum value for the imaginary part b.", "default": -20, "min": -10000, "max": 10000 }, "maxImaginary": { "type": "number", "name": "Maximum Imaginary Part", "description": "The maximum value for the imaginary part b.", "default": 20, "min": -10000, "max": 10000 }, "numComplexNumbers": { "type": "number", "name": "Number of Complex Numbers", "description": "The number of complex numbers to include.", "default": 3, "min": 2, "max": 5 } } }, "constantTimesComplexNumber": { "name": "Constant Times Complex Numbers", "description": "Multiplication of a real constant with a complex number. Example: 4 * (3 + 2i)", "parameters": { "isMCQ": { "type": "boolean", "name": "Multiple Choice", "description": "Whether the problem is multiple choice.", "default": true }, "minConstant": { "type": "number", "name": "Minimum Real Constant", "description": "The minimum value for the real constant.", "default": -20, "min": -10000, "max": 10000 }, "maxConstant": { "type": "number", "name": "Maximum Real Constant", "description": "The maximum value for the real constant.", "default": 20, "min": -10000, "max": 10000 }, "minReal": { "type": "number", "name": "Minimum Real Part", "description": "The minimum value for the real part a.", "default": -20, "min": -10000, "max": 10000 }, "maxReal": { "type": "number", "name": "Maximum Real Part", "description": "The maximum value for the real part a.", "default": 20, "min": -10000, "max": 10000 }, "minImaginary": { "type": "number", "name": "Minimum Imaginary Part", "description": "The minimum value for the imaginary part b.", "default": -20, "min": -10000, "max": 10000 }, "maxImaginary": { "type": "number", "name": "Maximum Imaginary Part", "description": "The maximum value for the imaginary part b.", "default": 20, "min": -10000, "max": 10000 } } }, "powersOfComplexNumbers": { "name": "Powers of Complex Numbers", "description": "Problems involving powers of complex numbers, such as squares or higher powers. Example: (1 + i)^2", "parameters": { "isMCQ": { "type": "boolean", "name": "Multiple Choice", "description": "Whether the problem is multiple choice.", "default": true }, "minReal": { "type": "number", "name": "Minimum Real Part", "description": "The minimum value for the real part a.", "default": -20, "min": -10000, "max": 10000 }, "maxReal": { "type": "number", "name": "Maximum Real Part", "description": "The maximum value for the real part a.", "default": 20, "min": -10000, "max": 10000 }, "minImaginary": { "type": "number", "name": "Minimum Imaginary Part", "description": "The minimum value for the imaginary part b.", "default": -20, "min": -10000, "max": 10000 }, "maxImaginary": { "type": "number", "name": "Maximum Imaginary Part", "description": "The maximum value for the imaginary part b.", "default": 20, "min": -10000, "max": 10000 }, "power": { "type": "number", "name": "Power", "description": "The power to raise the complex number.", "default": 2, "min": 2, "max": 5 } } } } }, "roots-radicals": { "name": "Roots and Radicals", "description": "Problems involving the roots and radicals of complex numbers.", "topics": { "basicSquareRoot": { "name": "Basic Square Roots of Complex Numbers", "description": "Problems involving the square root of negative numbers or complex numbers. Example: √(-9)", "parameters": { "isMCQ": { "type": "boolean", "name": "Multiple Choice", "description": "Whether the problem is multiple choice.", "default": true }, "minReal": { "type": "number", "name": "Minimum Real Part", "description": "The minimum value for the real part a.", "default": -20, "min": -10000, "max": 10000 }, "maxReal": { "type": "number", "name": "Maximum Real Part", "description": "The maximum value for the real part a.", "default": 20, "min": -10000, "max": 10000 }, "minImaginary": { "type": "number", "name": "Minimum Imaginary Part", "description": "The minimum value for the imaginary part b.", "default": -20, "min": -10000, "max": 10000 }, "maxImaginary": { "type": "number", "name": "Maximum Imaginary Part", "description": "The maximum value for the imaginary part b.", "default": 20, "min": -10000, "max": 10000 }, "decimalPlaces": { "type": "number", "name": "Decimal Places", "description": "The number of decimal places to round the answer to.", "default": 2, "min": 0, "max": 10 } } } } }, "division": { "name": "Division", "description": "Problems involving the division of complex numbers.", "topics": { "rationalizing": { "name": "Rationalizing Complex Numbers", "description": "Problems involving the division of complex numbers that require rationalization of the denominator. Example: 1/(3 + 4i)", "parameters": { "isMCQ": { "type": "boolean", "name": "Multiple Choice", "description": "Whether the problem is multiple choice.", "default": true }, "minReal": { "type": "number", "name": "Minimum Real Part", "description": "The minimum value for the real part of the denominator.", "default": -20, "min": -10000, "max": 10000 }, "maxReal": { "type": "number", "name": "Maximum Real Part", "description": "The maximum value for the real part of the denominator.", "default": 20, "min": -10000, "max": 10000 }, "minImaginary": { "type": "number", "name": "Minimum Imaginary Part", "description": "The minimum value for the imaginary part of the denominator.", "default": -20, "min": -10000, "max": 10000 }, "maxImaginary": { "type": "number", "name": "Maximum Imaginary Part", "description": "The maximum value for the imaginary part of the denominator.", "default": 20, "min": -10000, "max": 10000 } } }, "complexDivision": { "name": "Complex Division", "description": "Division of one complex number by another complex number. Example: (2 + 3i) / (1 - i)", "parameters": { "isMCQ": { "type": "boolean", "name": "Multiple Choice", "description": "Whether the problem is multiple choice.", "default": true }, "minReal": { "type": "number", "name": "Minimum Real Part (Numerator)", "description": "The minimum value for the real part of the numerator.", "default": -20, "min": -10000, "max": 10000 }, "maxReal": { "type": "number", "name": "Maximum Real Part (Numerator)", "description": "The maximum value for the real part of the numerator.", "default": 20, "min": -10000, "max": 10000 }, "minImaginary": { "type": "number", "name": "Minimum Imaginary Part (Numerator)", "description": "The minimum value for the imaginary part of the numerator.", "default": -20, "min": -10000, "max": 10000 }, "maxImaginary": { "type": "number", "name": "Maximum Imaginary Part (Numerator)", "description": "The maximum value for the imaginary part of the numerator.", "default": 20, "min": -10000, "max": 10000 }, "minDenomReal": { "type": "number", "name": "Minimum Real Part (Denominator)", "description": "The minimum value for the real part of the denominator.", "default": -20, "min": -10000, "max": 10000 }, "maxDenomReal": { "type": "number", "name": "Maximum Real Part (Denominator)", "description": "The maximum value for the real part of the denominator.", "default": 20, "min": -10000, "max": 10000 }, "minDenomImaginary": { "type": "number", "name": "Minimum Imaginary Part (Denominator)", "description": "The minimum value for the imaginary part of the denominator.", "default": -20, "min": -10000, "max": 10000 }, "maxDenomImaginary": { "type": "number", "name": "Maximum Imaginary Part (Denominator)", "description": "The maximum value for the imaginary part of the denominator.", "default": 20, "min": -10000, "max": 10000 } } }, "constantDividedByComplex": { "name": "Constant Divided by Complex Numbers", "description": "Problems where a constant is divided by a complex number. Example: 5 / (2 - i)", "parameters": { "isMCQ": { "type": "boolean", "name": "Multiple Choice", "description": "Whether the problem is multiple choice.", "default": true }, "minConstant": { "type": "number", "name": "Minimum Constant", "description": "The minimum value for the constant.", "default": -20, "min": -10000, "max": 10000 }, "maxConstant": { "type": "number", "name": "Maximum Constant", "description": "The maximum value for the constant.", "default": 20, "min": -10000, "max": 10000 }, "minDenomReal": { "type": "number", "name": "Minimum Real Part (Denominator)", "description": "The minimum value for the real part of the denominator.", "default": -20, "min": -10000, "max": 10000 }, "maxDenomReal": { "type": "number", "name": "Maximum Real Part (Denominator)", "description": "The maximum value for the real part of the denominator.", "default": 20, "min": -10000, "max": 10000 }, "minDenomImaginary": { "type": "number", "name": "Minimum Imaginary Part (Denominator)", "description": "The minimum value for the imaginary part of the denominator.", "default": -20, "min": -10000, "max": 10000 }, "maxDenomImaginary": { "type": "number", "name": "Maximum Imaginary Part (Denominator)", "description": "The maximum value for the imaginary part of the denominator.", "default": 20, "min": -10000, "max": 10000 } } } } } } } } } } } }