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add format kwarg
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lukew3
230
README.md
230
README.md
@@ -9,7 +9,7 @@ If you have an idea for a generator, please add it as an issue and tag it with t
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## Table of Contents
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* [Installation](#installation)
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* [Basic Usage](#basic-usage)
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* [Creating a worksheet](#creating-a-worksheet)
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* [More Complicated Usage](#more-complicated-usage)
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* [Documentation](#documentation)
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* [List of Generators](#list-of-generators)
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* [algebra](#algebra)
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@@ -60,138 +60,142 @@ This creates the pdf `ws.pdf` in your current directory
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* `genById(id)` generates a problem, solution set with generator id `id` in the format `[problem, solution]`
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* Pass the kwarg `format=latex` to return problem and solution set as latex. If latex is not available for that generator, the problem will be returned as raw data.
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* Pass the kwarg `format=raw` to return just the raw data for each generator. An array of each variable necessary to the generator is returned.
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## List of Generators
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## algebra
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| Id | Skill | Example problem | Example Solution | Function Name | Kwargs |
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|------|-------|-----------------|------------------|---------------|--------|
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| 11 | [Basic Algebra](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/basic_algebra.py) | 9x + 6 = 6 | 0 | basic_algebra | `maxVariable=10` |
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| 12 | [Logarithm](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/log.py) | log2(256) | 8 | log | `maxBase=3` `maxVal=8` |
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| 17 | [Integer Multiplication with 2x2 Matrix](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/multiply_int_to_22_matrix.py) | 1 * [[3, 1], [10, 1]] = | [[3,1],[10,1]] | multiply_int_to_22_matrix | `maxMatrixVal=10` `maxRes=100` |
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| 20 | [Midpoint of the two point](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/midpoint_of_two_points.py) | (-19,-5),(-10,-3)= | (-14.5,-4.0) | midpoint_of_two_points | `maxValue=20` |
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| 21 | [Factoring Quadratic](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/factoring.py) | x^2-18x+81 | (x-9)(x-9) | factoring | `range_x1=10` `range_x2=10` |
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| 23 | [Solve a System of Equations in R^2](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/system_of_equations.py) | -3x + 4y = -12, -x + 10y = 22 | x = 8, y = 3 | system_of_equations | `range_x=10` `range_y=10` `coeff_mult_range=10` |
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| 24 | [Distance between 2 points](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/distance_two_points.py) | Find the distance between (3, 7) and (-20, -18) | sqrt(1154) | distance_two_points | `maxValXY=20` `minValXY=-20` |
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| 26 | [Linear Equations](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/linear_equations.py) | 6x + -13y = 111, 2x + -4y = 36 | x = 12, y = -3 | linear_equations | `n=2` `varRange=20` `coeffRange=20` |
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| 41 | [Intersection of Two Lines](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/intersection_of_two_lines.py) | Find the point of intersection of the two lines: y = -8/4x - 7 and y = -7/3x + 4 | (33, -73) | intersection_of_two_lines | `minM=-10` `maxM=10` `minB=-10` `maxB=10` `minDenominator=1` `maxDenominator=6` |
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| 43 | [Cross Product of 2 Vectors](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/vector_cross.py) | [1, 7, -1] X [-5, 8, 19] = | [141, -14, 43] | vector_cross | `minVal=-20` `maxVal=20` |
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| 45 | [Simple Interest](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/simple_interest.py) | Simple interest for a principle amount of 5581 dollars, 1% rate of interest and for a time period of 8 years is = | 446.48 | simple_interest | `maxPrinciple=10000` `maxRate=10` `maxTime=10` |
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| 46 | [Multiplication of two matrices](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/matrix_multiplication.py) | Multiply<table><tr><td>3</td><td>-7</td><td>-9</td><td>-9</td></tr><tr><td>-2</td><td>5</td><td>-4</td><td>10</td></tr></table>and<table><tr><td>9</td><td>-2</td><td>10</td><td>-8</td></tr><tr><td>-3</td><td>10</td><td>-9</td><td>1</td></tr><tr><td>5</td><td>3</td><td>0</td><td>3</td></tr><tr><td>0</td><td>3</td><td>-10</td><td>0</td></tr></table> | <table><tr><td>3</td><td>-130</td><td>183</td><td>-58</td></tr><tr><td>-53</td><td>72</td><td>-165</td><td>9</td></tr></table> | matrix_multiplication | `maxVal=100` `max_dim=10` |
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| 50 | [Quadratic Equation](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/quadratic_equation.py) | Zeros of the Quadratic Equation 98x^2+108x+23=0 | [-0.29, -0.81] | quadratic_equation | `maxVal=100` |
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| 65 | [Multiplication of 2 complex numbers](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/multiply_complex_numbers.py) | (8+10j) * (-7+4j) = | (-96-38j) | multiply_complex_numbers | `minRealImaginaryNum=-20` `maxRealImaginaryNum=20` |
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| 72 | [Dot Product of 2 Vectors](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/vector_dot.py) | [-3, -8, 2] . [15, 7, -6] = | -113 | vector_dot | `minVal=-20` `maxVal=20` |
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| 74 | [Inverse of a Matrix](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/invert_matrix.py) | Inverse of Matrix Matrix([[60, 59, 5], [64, 13, 45], [54, 19, 35]]) is: | Matrix([[20/511, 197/1022, -37/146], [-19/1022, -183/1022, 17/73], [-257/5110, -1023/5110, 107/365]]) | invert_matrix | `SquareMatrixDimension=3` `MaxMatrixElement=99` `OnlyIntegerElementsInInvertedMatrix=False` |
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| 77 | [Determinant to 2x2 Matrix](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/int_matrix_22_determinant.py) | Det([[38, 27], [91, 58]]) = | -253 | int_matrix_22_determinant | `maxMatrixVal=100` |
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| 78 | [Compound Interest](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/compound_interest.py) | Compound interest for a principle amount of 5669 dollars, 4% rate of interest and for a time period of 8 year is = | 7758.42 | compound_interest | `maxPrinciple=10000` `maxRate=10` `maxTime=10` |
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| 100 | [complex Quadratic Equation](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/complex_quadratic.py) | Find the roots of given Quadratic Equation 3x^2 + 9x + 4 = 0 | simplified solution : ((-0.543, -2.457)), generalized solution : ((-9 + sqrt(33))/2*3, (-9 - sqrt(33))/2*3) | complex_quadratic | `prob_type=0` `max_range=10` |
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| 105 | [Combine Like terms](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/combine_like_terms.py) | 7x^1 | 7x^1 | combine_like_terms | `maxCoef=10` `maxExp=20` `maxTerms=10` |
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| 111 | [Expanding Factored Binomial](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/expanding.py) | (8x-5)(-3x-3) | -24*x^2-9*x+15 | expanding | `range_x1=10` `range_x2=10` `range_a=10` `range_b=10` |
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| 11 | [Basic Algebra](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/basic_algebra.py) | 4x + 8 = 10 | 1/2 | basic_algebra | `maxVariable=10` |
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| 12 | [Logarithm](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/log.py) | log2(8) | 3 | log | `maxBase=3` `maxVal=8` |
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| 17 | [Integer Multiplication with 2x2 Matrix](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/multiply_int_to_22_matrix.py) | 6 * [[3, 3], [7, 2]] = | [[18,18],[42,12]] | multiply_int_to_22_matrix | `maxMatrixVal=10` `maxRes=100` |
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| 20 | [Midpoint of the two point](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/midpoint_of_two_points.py) | (-10,11),(-4,-12)= | (-7.0,-0.5) | midpoint_of_two_points | `maxValue=20` |
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| 21 | [Factoring Quadratic](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/factoring.py) | x^2+4x-21 | (x+7)(x-3) | factoring | `range_x1=10` `range_x2=10` |
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| 23 | [Solve a System of Equations in R^2](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/system_of_equations.py) | -x + 8y = -35, -4x + 5y = -32 | x = 3, y = -4 | system_of_equations | `range_x=10` `range_y=10` `coeff_mult_range=10` |
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| 24 | [Distance between 2 points](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/distance_two_points.py) | Find the distance between (-4, 5) and (-19, 11) | sqrt(261) | distance_two_points | `maxValXY=20` `minValXY=-20` |
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| 26 | [Linear Equations](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/linear_equations.py) | 3x + 6y = 18, -14x + 11y = -279 | x = 16, y = -5 | linear_equations | `n=2` `varRange=20` `coeffRange=20` |
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| 41 | [Intersection of Two Lines](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/intersection_of_two_lines.py) | Find the point of intersection of the two lines: y = 0/5x + 10 and y = -5/2x + 5 | (-2, 10) | intersection_of_two_lines | `minM=-10` `maxM=10` `minB=-10` `maxB=10` `minDenominator=1` `maxDenominator=6` |
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| 43 | [Cross Product of 2 Vectors](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/vector_cross.py) | [-2, -13, 7] X [9, -17, 8] = | [15, 79, 151] | vector_cross | `minVal=-20` `maxVal=20` |
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| 45 | [Simple Interest](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/simple_interest.py) | Simple interest for a principle amount of 2145 dollars, 7% rate of interest and for a time period of 7 years is = | 1051.05 | simple_interest | `maxPrinciple=10000` `maxRate=10` `maxTime=10` |
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| 46 | [Multiplication of two matrices](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/matrix_multiplication.py) | Multiply<table><tr><td>-8</td><td>-7</td></tr><tr><td>10</td><td>2</td></tr><tr><td>-7</td><td>-8</td></tr><tr><td>-7</td><td>-10</td></tr></table>and<table><tr><td>9</td><td>2</td><td>2</td><td>1</td></tr><tr><td>-1</td><td>3</td><td>-1</td><td>-6</td></tr></table> | <table><tr><td>-65</td><td>-37</td><td>-9</td><td>34</td></tr><tr><td>88</td><td>26</td><td>18</td><td>-2</td></tr><tr><td>-55</td><td>-38</td><td>-6</td><td>41</td></tr><tr><td>-53</td><td>-44</td><td>-4</td><td>53</td></tr></table> | matrix_multiplication | `maxVal=100` `max_dim=10` |
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| 50 | [Quadratic Equation](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/quadratic_equation.py) | Zeros of the Quadratic Equation 10x^2+51x+46=0 | [-1.17, -3.93] | quadratic_equation | `maxVal=100` |
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| 65 | [Multiplication of 2 complex numbers](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/multiply_complex_numbers.py) | (-4+11j) * (5-9j) = | (79+91j) | multiply_complex_numbers | `minRealImaginaryNum=-20` `maxRealImaginaryNum=20` |
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| 72 | [Dot Product of 2 Vectors](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/vector_dot.py) | [-12, 11, 13] . [-4, 9, -13] = | -22 | vector_dot | `minVal=-20` `maxVal=20` |
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| 74 | [Inverse of a Matrix](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/invert_matrix.py) | Inverse of Matrix Matrix([[25, 98, 43], [11, 56, 70], [27, 19, 89]]) is: | Matrix([[1218/41533, -2635/41533, 1484/41533], [911/124599, 1064/124599, -1277/124599], [-1303/124599, 2171/124599, 322/124599]]) | invert_matrix | `SquareMatrixDimension=3` `MaxMatrixElement=99` `OnlyIntegerElementsInInvertedMatrix=False` |
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| 77 | [Determinant to 2x2 Matrix](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/int_matrix_22_determinant.py) | Det([[11, 84], [38, 41]]) = | -2741 | int_matrix_22_determinant | `maxMatrixVal=100` |
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| 78 | [Compound Interest](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/compound_interest.py) | Compound interest for a principle amount of 4581 dollars, 4% rate of interest and for a time period of 6 year is = | 5796.43 | compound_interest | `maxPrinciple=10000` `maxRate=10` `maxTime=10` |
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| 100 | [complex Quadratic Equation](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/complex_quadratic.py) | Find the roots of given Quadratic Equation 9x^2 + 7x + 1 = 0 | simplified solution : ((-0.189, -0.589)), generalized solution : ((-7 + sqrt(13))/2*9, (-7 - sqrt(13))/2*9) | complex_quadratic | `prob_type=0` `max_range=10` |
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| 105 | [Combine Like terms](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/combine_like_terms.py) | 8x^4 + 4x^4 + 6x^1 + 9x^4 + 7x^5 + 10x^3 | 6x^1 + 10x^3 + 21x^4 + 7x^5 | combine_like_terms | `maxCoef=10` `maxExp=20` `maxTerms=10` |
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| 111 | [Expanding Factored Binomial](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/expanding.py) | (x-3)(x+4) | *x^2-3*x-12 | expanding | `range_x1=10` `range_x2=10` `range_a=10` `range_b=10` |
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## basic_math
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| Id | Skill | Example problem | Example Solution | Function Name | Kwargs |
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|------|-------|-----------------|------------------|---------------|--------|
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| 0 | [Addition](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/addition.py) | 33+15= | 48 | addition | `maxSum=99` `maxAddend=50` |
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| 1 | [Subtraction](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/subtraction.py) | 5-5= | 0 | subtraction | `maxMinuend=99` `maxDiff=99` |
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| 2 | [Multiplication](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/multiplication.py) | 1*11= | 11 | multiplication | `maxMulti=12` |
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| 3 | [Division](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/division.py) | 384/16= | 24 | division | `maxA=25` `maxB=25` |
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| 6 | [Square Root](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/square_root.py) | sqrt(49)= | 7 | square_root | `minNo=1` `maxNo=12` |
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| 8 | [Square](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/square.py) | 13^2= | 169 | square | `maxSquareNum=20` |
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| 13 | [Complex Division](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/complex_division.py) | 89/11= | 8.09 | complex_division | `maxRes=99` `maxDivid=99` |
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| 16 | [Fraction Division](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/divide_fractions.py) | (2/9)/(3/4) | 8/27 | divide_fractions | `maxVal=10` |
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| 28 | [Fraction Multiplication](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/fraction_multiplication.py) | (3/8)*(10/8) | 15/32 | fraction_multiplication | `maxVal=10` |
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| 0 | [Addition](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/addition.py) | 16+43= | 59 | addition | `maxSum=99` `maxAddend=50` |
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| 1 | [Subtraction](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/subtraction.py) | 85-8= | 77 | subtraction | `maxMinuend=99` `maxDiff=99` |
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| 2 | [Multiplication](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/multiplication.py) | 1*4= | 4 | multiplication | `maxMulti=12` |
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| 3 | [Division](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/division.py) | 9/9= | 1 | division | `maxA=25` `maxB=25` |
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| 6 | [Square Root](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/square_root.py) | sqrt(4)= | 2 | square_root | `minNo=1` `maxNo=12` |
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| 8 | [Square](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/square.py) | 17^2= | 289 | square | `maxSquareNum=20` |
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| 13 | [Complex Division](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/complex_division.py) | 21/59= | 0.36 | complex_division | `maxRes=99` `maxDivid=99` |
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| 16 | [Fraction Division](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/divide_fractions.py) | (5/2)/(3/10) | 25/3 | divide_fractions | `maxVal=10` |
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| 28 | [Fraction Multiplication](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/fraction_multiplication.py) | (5/1)*(10/4) | 25/2 | fraction_multiplication | `maxVal=10` |
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| 31 | [Factorial](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/factorial.py) | 2! = | 2 | factorial | `maxInput=6` |
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| 44 | [Compare Fractions](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/compare_fractions.py) | Which symbol represents the comparison between 9/8 and 10/7? | < | compare_fractions | `maxVal=10` |
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| 47 | [Cube Root](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/cube_root.py) | What is the cube root of 183 up to 2 decimal places? | 5.68 | cube_root | `minNo=1` `maxNo=1000` |
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| 53 | [Exponentiation](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/exponentiation.py) | 20^6 = | 64000000 | exponentiation | `maxBase=20` `maxExpo=10` |
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| 71 | [Absolute difference between two numbers](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/absolute_difference.py) | |-67--16|= | 51 | absolute_difference | `maxA=100` `maxB=100` |
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| 80 | [Percentage of a number](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/percentage.py) | What is 24% of 74? | 17.76 | percentage | `maxValue=99` `maxpercentage=99` |
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| 90 | [isprime](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/is_prime.py) | Is 50 prime? | No | is_prime | `max_num=100` |
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| 97 | [Power of Powers](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/power_of_powers.py) | Simplify 48^7^6= | 48^42 | power_of_powers | `maxBase=50` `maxPower=10` |
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| 44 | [Compare Fractions](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/compare_fractions.py) | Which symbol represents the comparison between 8/2 and 9/8? | > | compare_fractions | `maxVal=10` |
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| 47 | [Cube Root](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/cube_root.py) | What is the cube root of 396 up to 2 decimal places? | 7.34 | cube_root | `minNo=1` `maxNo=1000` |
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| 53 | [Exponentiation](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/exponentiation.py) | 2^7 = | 128 | exponentiation | `maxBase=20` `maxExpo=10` |
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| 71 | [Absolute difference between two numbers](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/absolute_difference.py) | |37--95|= | 132 | absolute_difference | `maxA=100` `maxB=100` |
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| 80 | [Percentage of a number](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/percentage.py) | What is 99% of 76? | 75.24 | percentage | `maxValue=99` `maxpercentage=99` |
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| 90 | [isprime](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/is_prime.py) | Is 61 prime? | Yes | is_prime | `max_num=100` |
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| 97 | [Power of Powers](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/power_of_powers.py) | Simplify 49^8^2= | 49^16 | power_of_powers | `maxBase=50` `maxPower=10` |
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## calculus
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| Id | Skill | Example problem | Example Solution | Function Name | Kwargs |
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|------|-------|-----------------|------------------|---------------|--------|
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| 7 | [Power Rule Differentiation](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/calculus/power_rule_differentiation.py) | 7x^2 + 7x^3 + 5x^9 + 4x^1 | 14x^1 + 21x^2 + 45x^8 + 4x^0 | power_rule_differentiation | `maxCoef=10` `maxExp=10` `maxTerms=5` |
|
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| 48 | [Power Rule Integration](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/calculus/power_rule_integration.py) | 4x^6 + 1x^9 + 8x^1 + 1x^8 | (4/6)x^7 + (1/9)x^10 + (8/1)x^2 + (1/8)x^9 + c | power_rule_integration | `maxCoef=10` `maxExp=10` `maxTerms=5` |
|
||||
| 88 | [Differentiation](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/calculus/differentiation.py) | differentiate w.r.t x : d(sin(x)+8*x^3)/dx | 24*x^2 + cos(x) | differentiation | `diff_lvl=2` |
|
||||
| 89 | [Definite Integral of Quadratic Equation](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/calculus/definite_integral.py) | The definite integral within limits 0 to 1 of the equation 62x^2 + 93x + 81 is = | 148.1667 | definite_integral | `max_coeff=100` |
|
||||
| 110 | [Stationary Points](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/calculus/stationary_points.py) | f(x)=9*x^3 + 3*x^2 + 4 | (-2/9,328/81),(0,4) | stationary_points | `maxExp=3` `maxCoef=10` |
|
||||
| 7 | [Power Rule Differentiation](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/calculus/power_rule_differentiation.py) | 2x^1 + 9x^7 + 6x^4 | 2x^0 + 63x^6 + 24x^3 | power_rule_differentiation | `maxCoef=10` `maxExp=10` `maxTerms=5` |
|
||||
| 48 | [Power Rule Integration](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/calculus/power_rule_integration.py) | 5x^2 + 3x^10 + 4x^1 | (5/2)x^3 + (3/10)x^11 + (4/1)x^2 + c | power_rule_integration | `maxCoef=10` `maxExp=10` `maxTerms=5` |
|
||||
| 88 | [Differentiation](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/calculus/differentiation.py) | differentiate w.r.t x : d(ln(x)+2*x^(-3))/dx | 1/x - 6/x^4 | differentiation | `diff_lvl=2` |
|
||||
| 89 | [Definite Integral of Quadratic Equation](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/calculus/definite_integral.py) | The definite integral within limits 0 to 1 of the equation 100x^2 + 80x + 22 is = | 95.3333 | definite_integral | `max_coeff=100` |
|
||||
| 110 | [Stationary Points](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/calculus/stationary_points.py) | f(x)=3*x^3 + 6*x^2 + 9*x + 1 | | stationary_points | `maxExp=3` `maxCoef=10` |
|
||||
## computer_science
|
||||
| Id | Skill | Example problem | Example Solution | Function Name | Kwargs |
|
||||
|------|-------|-----------------|------------------|---------------|--------|
|
||||
| 4 | [Binary Complement 1s](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/binary_complement_1s.py) | 01000= | 10111 | binary_complement_1s | `maxDigits=10` |
|
||||
| 5 | [Modulo Division](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/modulo_division.py) | 64%42= | 22 | modulo_division | `maxRes=99` `maxModulo=99` |
|
||||
| 14 | [Decimal to Binary](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/decimal_to_binary.py) | Binary of 63= | 111111 | decimal_to_binary | `max_dec=99` |
|
||||
| 15 | [Binary to Decimal](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/binary_to_decimal.py) | 101 | 5 | binary_to_decimal | `max_dig=10` |
|
||||
| 56 | [Fibonacci Series](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/fibonacci_series.py) | The Fibonacci Series of the first 14 numbers is ? | [0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233] | fibonacci_series | `minNo=1` |
|
||||
| 62 | [nth Fibonacci number](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/nth_fibonacci_number.py) | What is the 67th Fibonacci number? | 44945570212853 | nth_fibonacci_number | `maxN=100` |
|
||||
| 64 | [Binary to Hexidecimal](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/binary_to_hex.py) | 0111111 | 0x3f | binary_to_hex | `max_dig=10` |
|
||||
| 73 | [Binary 2's Complement](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/binary_2s_complement.py) | 2's complement of 10 = | 10 | binary_2s_complement | `maxDigits=10` |
|
||||
| 79 | [Decimal to Hexadecimal](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/decimal_to_hexadeci.py) | Binary of 169= | 0xa9 | decimal_to_hexadeci | `max_dec=1000` |
|
||||
| 84 | [Converts decimal to octal](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/decimal_to_octal.py) | The decimal number 3744 in Octal is: | 0o7240 | decimal_to_octal | `maxDecimal=4096` |
|
||||
| 91 | [Binary Coded Decimal to Integer](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/bcd_to_decimal.py) | Integer of Binary Coded Decimal 1 is = | 5924 | bcd_to_decimal | `maxNumber=10000` |
|
||||
| 103 | [Decimal to Binary Coded Decimal](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/decimal_to_bcd.py) | BCD of Decimal Number 3461 is = | 1385 | decimal_to_bcd | `maxNumber=10000` |
|
||||
| 4 | [Binary Complement 1s](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/binary_complement_1s.py) | 1= | 0 | binary_complement_1s | `maxDigits=10` |
|
||||
| 5 | [Modulo Division](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/modulo_division.py) | 51%46= | 5 | modulo_division | `maxRes=99` `maxModulo=99` |
|
||||
| 14 | [Decimal to Binary](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/decimal_to_binary.py) | Binary of 58= | 111010 | decimal_to_binary | `max_dec=99` |
|
||||
| 15 | [Binary to Decimal](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/binary_to_decimal.py) | 0110001111 | 399 | binary_to_decimal | `max_dig=10` |
|
||||
| 56 | [Fibonacci Series](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/fibonacci_series.py) | The Fibonacci Series of the first 8 numbers is ? | [0, 1, 1, 2, 3, 5, 8, 13] | fibonacci_series | `minNo=1` |
|
||||
| 62 | [nth Fibonacci number](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/nth_fibonacci_number.py) | What is the 78th Fibonacci number? | 8944394323791488 | nth_fibonacci_number | `maxN=100` |
|
||||
| 64 | [Binary to Hexidecimal](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/binary_to_hex.py) | 111011 | 0x3b | binary_to_hex | `max_dig=10` |
|
||||
| 73 | [Binary 2's Complement](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/binary_2s_complement.py) | 2's complement of 11010 = | 110 | binary_2s_complement | `maxDigits=10` |
|
||||
| 79 | [Decimal to Hexadecimal](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/decimal_to_hexadeci.py) | Binary of 456= | 0x1c8 | decimal_to_hexadeci | `max_dec=1000` |
|
||||
| 84 | [Converts decimal to octal](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/decimal_to_octal.py) | The decimal number 3211 in Octal is: | 0o6213 | decimal_to_octal | `maxDecimal=4096` |
|
||||
| 91 | [Binary Coded Decimal to Integer](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/bcd_to_decimal.py) | Integer of Binary Coded Decimal 7 is = | 29237 | bcd_to_decimal | `maxNumber=10000` |
|
||||
| 103 | [Decimal to Binary Coded Decimal](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/decimal_to_bcd.py) | BCD of Decimal Number 5763 is = | 1683 | decimal_to_bcd | `maxNumber=10000` |
|
||||
## geometry
|
||||
| Id | Skill | Example problem | Example Solution | Function Name | Kwargs |
|
||||
|------|-------|-----------------|------------------|---------------|--------|
|
||||
| 18 | [Area of Triangle](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/area_of_triangle.py) | Area of triangle with side lengths: 13 7 16 = | 44.49719092257398 | area_of_triangle | `maxA=20` `maxB=20` `maxC=20` |
|
||||
| 19 | [Triangle exists check](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/valid_triangle.py) | Does triangle with sides 32, 44 and 10 exist? | No | valid_triangle | `maxSideLength=50` |
|
||||
| 22 | [Third Angle of Triangle](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/third_angle_of_triangle.py) | Third angle of triangle with angles 24 and 46 = | 110 | third_angle_of_triangle | `maxAngle=89` |
|
||||
| 25 | [Pythagorean Theorem](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/pythagorean_theorem.py) | The hypotenuse of a right triangle given the other two lengths 13 and 10 = | 16.40 | pythagorean_theorem | `maxLength=20` |
|
||||
| 29 | [Angle of a Regular Polygon](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/angle_regular_polygon.py) | Find the angle of a regular polygon with 3 sides | 60.0 | angle_regular_polygon | `minVal=3` `maxVal=20` |
|
||||
| 32 | [Surface Area of Cube](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/surface_area_cube.py) | Surface area of cube with side = 15m is | 1350 m^2 | surface_area_cube | `maxSide=20` `unit='m'` |
|
||||
| 33 | [Surface Area of Cuboid](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/surface_area_cuboid.py) | Surface area of cuboid with sides = 6m, 11m, 3m is | 234 m^2 | surface_area_cuboid | `maxSide=20` `unit='m'` |
|
||||
| 34 | [Surface Area of Cylinder](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/surface_area_cylinder.py) | Surface area of cylinder with height = 38m and radius = 2m is | 502 m^2 | surface_area_cylinder | `maxRadius=20` `maxHeight=50` `unit='m'` |
|
||||
| 35 | [Volum of Cube](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/volume_cube.py) | Volume of cube with side = 3m is | 27 m^3 | volume_cube | `maxSide=20` `unit='m'` |
|
||||
| 36 | [Volume of Cuboid](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/volume_cuboid.py) | Volume of cuboid with sides = 6m, 14m, 3m is | 252 m^3 | volume_cuboid | `maxSide=20` `unit='m'` |
|
||||
| 37 | [Volume of cylinder](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/volume_cylinder.py) | Volume of cylinder with height = 12m and radius = 16m is | 9650 m^3 | volume_cylinder | `maxRadius=20` `maxHeight=50` `unit='m'` |
|
||||
| 38 | [Surface Area of cone](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/surface_area_cone.py) | Surface area of cone with height = 2m and radius = 5m is | 163 m^2 | surface_area_cone | `maxRadius=20` `maxHeight=50` `unit='m'` |
|
||||
| 39 | [Volume of cone](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/volume_cone.py) | Volume of cone with height = 31m and radius = 8m is | 2077 m^3 | volume_cone | `maxRadius=20` `maxHeight=50` `unit='m'` |
|
||||
| 49 | [Fourth Angle of Quadrilateral](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/fourth_angle_of_quadrilateral.py) | Fourth angle of quadrilateral with angles 166 , 68, 65 = | 61 | fourth_angle_of_quadrilateral | `maxAngle=180` |
|
||||
| 57 | [Trigonometric Values](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/basic_trigonometry.py) | What is sin(0)? | 0 | basic_trigonometry | `angles=[0, 30, 45, 60, 90]` `functions=['sin', 'cos', 'tan']` |
|
||||
| 58 | [Sum of Angles of Polygon](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/sum_of_polygon_angles.py) | Sum of angles of polygon with 10 sides = | 1440 | sum_of_polygon_angles | `maxSides=12` |
|
||||
| 60 | [Surface Area of Sphere](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/surface_area_sphere.py) | Surface area of Sphere with radius = 13m is | 2123.7166338267 m^2 | surface_area_sphere | `maxSide=20` `unit='m'` |
|
||||
| 61 | [Volume of Sphere](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/volume_sphere.py) | Volume of sphere with radius 33 m = | 150532.55358940852 m^3 | volume_sphere | `maxRadius=100` |
|
||||
| 70 | [Angle between 2 vectors](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/angle_btw_vectors.py) | angle between the vectors [373.03, 280.56, 51.12, 848.19, 914.96, 636.42, 936.04, 218.18, 727.01, 248.11] and [696.71, 8.09, 219.08, 466.57, 583.92, 152.82, 964.12, 686.21, 400.77, 343.46] is: | 0.56 radians | angle_btw_vectors | `maxEltAmt=20` |
|
||||
| 75 | [Area of a Sector](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/sector_area.py) | Given radius, 45 and angle, 145. Find the area of the sector. | Area of sector = 2562.36151 | sector_area | `maxRadius=49` `maxAngle=359` |
|
||||
| 86 | [Degrees to Radians](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/degree_to_rad.py) | Angle 196 in radians is = | 3.42 | degree_to_rad | `max_deg=360` |
|
||||
| 87 | [Radians to Degrees](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/radian_to_deg.py) | Angle 1 in degrees is = | 57.3 | radian_to_deg | `max_rad=3` |
|
||||
| 95 | [Curved surface area of a cylinder](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/curved_surface_area_cylinder.py) | What is the curved surface area of a cylinder of radius, 16 and height, 21? | CSA of cylinder = 2111.15 | curved_surface_area_cylinder | `maxRadius=49` `maxHeight=99` |
|
||||
| 96 | [Perimeter of Polygons](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/perimeter_of_polygons.py) | The perimeter of a 5 sided polygon with lengths of [13, 84, 9, 97, 119]cm is: | 322 | perimeter_of_polygons | `maxSides=12` `maxLength=120` |
|
||||
| 104 | [Circumference](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/circumference.py) | Circumference of circle with radius 48 | 301.59289474462014 | circumference | `maxRadius=100` |
|
||||
| 108 | [Arc length of Angle](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/arc_length.py) | Given radius, 16 and angle, 326. Find the arc length of the angle. | Arc length of the angle = 91.03637 | arc_length | `maxRadius=49` `maxAngle=359` |
|
||||
| 112 | [Area of Circle](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/area_of_circle.py) | Area of circle with radius 44 | 6084.571428571428 | area_of_circle | `maxRadius=100` |
|
||||
| 18 | [Area of Triangle](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/area_of_triangle.py) | Area of triangle with side lengths: 15 18 11 = | 82.3164625090267 | area_of_triangle | `maxA=20` `maxB=20` `maxC=20` |
|
||||
| 19 | [Triangle exists check](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/valid_triangle.py) | Does triangle with sides 16, 30 and 26 exist? | Yes | valid_triangle | `maxSideLength=50` |
|
||||
| 22 | [Third Angle of Triangle](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/third_angle_of_triangle.py) | Third angle of triangle with angles 75 and 64 = | 41 | third_angle_of_triangle | `maxAngle=89` |
|
||||
| 25 | [Pythagorean Theorem](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/pythagorean_theorem.py) | The hypotenuse of a right triangle given the other two lengths 7 and 6 = | 9.22 | pythagorean_theorem | `maxLength=20` |
|
||||
| 29 | [Angle of a Regular Polygon](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/angle_regular_polygon.py) | Find the angle of a regular polygon with 19 sides | 161.05 | angle_regular_polygon | `minVal=3` `maxVal=20` |
|
||||
| 32 | [Surface Area of Cube](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/surface_area_cube.py) | Surface area of cube with side = 7m is | 294 m^2 | surface_area_cube | `maxSide=20` `unit='m'` |
|
||||
| 33 | [Surface Area of Cuboid](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/surface_area_cuboid.py) | Surface area of cuboid with sides = 9m, 6m, 3m is | 198 m^2 | surface_area_cuboid | `maxSide=20` `unit='m'` |
|
||||
| 34 | [Surface Area of Cylinder](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/surface_area_cylinder.py) | Surface area of cylinder with height = 35m and radius = 1m is | 226 m^2 | surface_area_cylinder | `maxRadius=20` `maxHeight=50` `unit='m'` |
|
||||
| 35 | [Volum of Cube](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/volume_cube.py) | Volume of cube with side = 19m is | 6859 m^3 | volume_cube | `maxSide=20` `unit='m'` |
|
||||
| 36 | [Volume of Cuboid](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/volume_cuboid.py) | Volume of cuboid with sides = 14m, 18m, 8m is | 2016 m^3 | volume_cuboid | `maxSide=20` `unit='m'` |
|
||||
| 37 | [Volume of cylinder](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/volume_cylinder.py) | Volume of cylinder with height = 2m and radius = 4m is | 100 m^3 | volume_cylinder | `maxRadius=20` `maxHeight=50` `unit='m'` |
|
||||
| 38 | [Surface Area of cone](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/surface_area_cone.py) | Surface area of cone with height = 10m and radius = 1m is | 34 m^2 | surface_area_cone | `maxRadius=20` `maxHeight=50` `unit='m'` |
|
||||
| 39 | [Volume of cone](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/volume_cone.py) | Volume of cone with height = 41m and radius = 2m is | 171 m^3 | volume_cone | `maxRadius=20` `maxHeight=50` `unit='m'` |
|
||||
| 49 | [Fourth Angle of Quadrilateral](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/fourth_angle_of_quadrilateral.py) | Fourth angle of quadrilateral with angles 47 , 186, 23 = | 104 | fourth_angle_of_quadrilateral | `maxAngle=180` |
|
||||
| 57 | [Trigonometric Values](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/basic_trigonometry.py) | What is tan(90)? | ∞ | basic_trigonometry | `angles=[0, 30, 45, 60, 90]` `functions=['sin', 'cos', 'tan']` |
|
||||
| 58 | [Sum of Angles of Polygon](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/sum_of_polygon_angles.py) | Sum of angles of polygon with 8 sides = | 1080 | sum_of_polygon_angles | `maxSides=12` |
|
||||
| 60 | [Surface Area of Sphere](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/surface_area_sphere.py) | Surface area of Sphere with radius = 2m is | 50.26548245743669 m^2 | surface_area_sphere | `maxSide=20` `unit='m'` |
|
||||
| 61 | [Volume of Sphere](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/volume_sphere.py) | Volume of sphere with radius 70 m = | 1436755.040241732 m^3 | volume_sphere | `maxRadius=100` |
|
||||
| 70 | [Angle between 2 vectors](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/angle_btw_vectors.py) | angle between the vectors [809.39, 750.64, 808.48] and [99.52, 21.47, 323.85] is: | 0.69 radians | angle_btw_vectors | `maxEltAmt=20` |
|
||||
| 75 | [Area of a Sector](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/sector_area.py) | Given radius, 38 and angle, 119. Find the area of the sector. | Area of sector = 1499.55199 | sector_area | `maxRadius=49` `maxAngle=359` |
|
||||
| 86 | [Degrees to Radians](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/degree_to_rad.py) | Angle 187 in radians is = | 3.26 | degree_to_rad | `max_deg=360` |
|
||||
| 87 | [Radians to Degrees](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/radian_to_deg.py) | Angle 2 in degrees is = | 114.59 | radian_to_deg | `max_rad=3` |
|
||||
| 95 | [Curved surface area of a cylinder](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/curved_surface_area_cylinder.py) | What is the curved surface area of a cylinder of radius, 25 and height, 26? | CSA of cylinder = 4084.07 | curved_surface_area_cylinder | `maxRadius=49` `maxHeight=99` |
|
||||
| 96 | [Perimeter of Polygons](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/perimeter_of_polygons.py) | The perimeter of a 11 sided polygon with lengths of [39, 70, 58, 27, 85, 119, 47, 59, 113, 38, 45]cm is: | 700 | perimeter_of_polygons | `maxSides=12` `maxLength=120` |
|
||||
| 104 | [Circumference](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/circumference.py) | Circumference of circle with radius 76 | 477.5220833456485 | circumference | `maxRadius=100` |
|
||||
| 108 | [Arc length of Angle](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/arc_length.py) | Given radius, 30 and angle, 240. Find the arc length of the angle. | Arc length of the angle = 125.66371 | arc_length | `maxRadius=49` `maxAngle=359` |
|
||||
| 112 | [Area of Circle](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/area_of_circle.py) | Area of circle with radius 37 | 4302.571428571428 | area_of_circle | `maxRadius=100` |
|
||||
## misc
|
||||
| Id | Skill | Example problem | Example Solution | Function Name | Kwargs |
|
||||
|------|-------|-----------------|------------------|---------------|--------|
|
||||
| 9 | [LCM (Least Common Multiple)](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/lcm.py) | LCM of 1 and 15 = | 15 | lcm | `maxVal=20` |
|
||||
| 10 | [GCD (Greatest Common Denominator)](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/gcd.py) | GCD of 3 and 3 = | 3 | gcd | `maxVal=20` |
|
||||
| 27 | [Prime Factorisation](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/prime_factors.py) | Find prime factors of 167 | [167] | prime_factors | `minVal=1` `maxVal=200` |
|
||||
| 40 | [Common Factors](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/common_factors.py) | Common Factors of 55 and 33 = | [1, 11] | common_factors | `maxVal=100` |
|
||||
| 51 | [HCF (Highest Common Factor)](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/hcf.py) | HCF of 16 and 9 = | 1 | hcf | `maxVal=20` |
|
||||
| 55 | [Comparing surds](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/surds_comparison.py) | Fill in the blanks 62^(1/7) _ 74^(1/6) | < | surds_comparison | `maxValue=100` `maxRoot=10` |
|
||||
| 63 | [Profit or Loss Percent](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/profit_loss_percent.py) | Loss percent when CP = 704 and SP = 134 is: | 80.9659090909091 | profit_loss_percent | `maxCP=1000` `maxSP=1000` |
|
||||
| 66 | [Geometric Progression](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/geometric_progression.py) | For the given GP [8, 40, 200, 1000, 5000, 25000] ,Find the value of a,common ratio,8th term value, sum upto 11th term | The value of a is 8, common ratio is 5 , 8th term is 625000 , sum upto 11th term is 97656248.0 | geometric_progression | `number_values=6` `min_value=2` `max_value=12` `n_term=7` `sum_term=5` |
|
||||
| 67 | [Geometric Mean of N Numbers](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/geometric_mean.py) | Geometric mean of 4 numbers 66 , 46 , 28 , 54 = | (66*46*28*54)^(1/4) = 46.2874642463462 | geometric_mean | `maxValue=100` `maxNum=4` |
|
||||
| 68 | [Harmonic Mean of N Numbers](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/harmonic_mean.py) | Harmonic mean of 4 numbers 74 , 59 , 47 , 36 = | 4/((1/74) + (1/59) + (1/47) + (1/36)) = 50.30368360304657 | harmonic_mean | `maxValue=100` `maxNum=4` |
|
||||
| 69 | [Euclidian norm or L2 norm of a vector](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/euclidian_norm.py) | Euclidian norm or L2 norm of the vector[118.69308620957398, 418.5316709436745, 529.1318417822414, 545.3215860464462, 387.999979078107, 298.1451264197782, 392.3895332994427, 833.7453539560848, 555.724882920332, 472.05768476591004, 214.55377537613495, 760.9785260761229, 448.91380437418314, 73.27333213603282, 791.8291233802007, 918.6577753538513] is: | 2165.5845872381433 | euclidian_norm | `maxEltAmt=20` |
|
||||
| 81 | [Celsius To Fahrenheit](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/celsius_to_fahrenheit.py) | Convert -12 degrees Celsius to degrees Fahrenheit = | 10.399999999999999 | celsius_to_fahrenheit | `maxTemp=100` |
|
||||
| 82 | [AP Term Calculation](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/arithmetic_progression_term.py) | Find the term number 29 of the AP series: -80, -71, -62 ... | 172 | arithmetic_progression_term | `maxd=100` `maxa=100` `maxn=100` |
|
||||
| 83 | [AP Sum Calculation](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/arithmetic_progression_sum.py) | Find the sum of first 64 terms of the AP series: -94, -6, 82 ... | 171392.0 | arithmetic_progression_sum | `maxd=100` `maxa=100` `maxn=100` |
|
||||
| 85 | [Converts decimal to Roman Numerals](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/decimal_to_roman_numerals.py) | The number 3026 in Roman Numerals is: | MMMXXVI | decimal_to_roman_numerals | `maxDecimal=4000` |
|
||||
| 92 | [Complex To Polar Form](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/complex_to_polar.py) | rexp(itheta) = | 26.91exp(i-2.3) | complex_to_polar | `minRealImaginaryNum=-20, maxRealImaginaryNum=20` |
|
||||
| 93 | [Union,Intersection,Difference of Two Sets](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/set_operation.py) | Given the two sets a={1, 6, 7, 8, 9} ,b={1, 3, 4, 5, 10}.Find the Union,intersection,a-b,b-a and symmetric difference | Union is {1, 3, 4, 5, 6, 7, 8, 9, 10},Intersection is {1}, a-b is {8, 9, 6, 7},b-a is {10, 3, 4, 5}, Symmetric difference is {3, 4, 5, 6, 7, 8, 9, 10} | set_operation | `minval=3` `maxval=7` `n_a=4` `n_b=5` |
|
||||
| 94 | [Base Conversion](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/base_conversion.py) | Convert A201 from base 14 to base 10. | 27833 | base_conversion | `maxNum=60000` `maxBase=16` |
|
||||
| 98 | [Quotient of Powers with Same Base](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/quotient_of_power_same_base.py) | The Quotient of 42^7 and 42^6 = 42^(7-6) = 42^1 | 42 | quotient_of_power_same_base | `maxBase=50` `maxPower=10` |
|
||||
| 99 | [Quotient of Powers with Same Power](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/quotient_of_power_same_power.py) | The Quotient of 31^10 and 37^10 = (31/37)^10 = 0.8378378378378378^10 | 0.17045105659000342 | quotient_of_power_same_power | `maxBase=50` `maxPower=10` |
|
||||
| 101 | [Leap Year or Not](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/is_leap_year.py) | Year 1999 | is not a leap year | is_leap_year | `minNumber=1900` `maxNumber=2099` |
|
||||
| 102 | [Minute to Hour conversion](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/minutes_to_hours.py) | Convert 851 minutes to Hours & Minutes | 14 hours and 11 minutes | minutes_to_hours | `maxMinutes=999` |
|
||||
| 106 | [signum function](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/signum_function.py) | signum of 525 is = | 1 | signum_function | `min=-999` `max=999` |
|
||||
| 109 | [Binomial distribution](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/binomial_distribution.py) | A manufacturer of metal pistons finds that, on average, 40.41% of the pistons they manufacture are rejected because they are incorrectly sized. What is the probability that a batch of 11 pistons will contain no more than 4 rejected pistons? | 52.15 | binomial_distribution | `` |
|
||||
| 9 | [LCM (Least Common Multiple)](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/lcm.py) | LCM of 19 and 2 = | 38 | lcm | `maxVal=20` |
|
||||
| 10 | [GCD (Greatest Common Denominator)](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/gcd.py) | GCD of 16 and 6 = | 2 | gcd | `maxVal=20` |
|
||||
| 27 | [Prime Factorisation](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/prime_factors.py) | Find prime factors of 78 | [2, 3, 13] | prime_factors | `minVal=1` `maxVal=200` |
|
||||
| 40 | [Common Factors](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/common_factors.py) | Common Factors of 21 and 77 = | [1, 7] | common_factors | `maxVal=100` |
|
||||
| 51 | [HCF (Highest Common Factor)](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/hcf.py) | HCF of 17 and 3 = | 1 | hcf | `maxVal=20` |
|
||||
| 55 | [Comparing surds](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/surds_comparison.py) | Fill in the blanks 58^(1/5) _ 18^(1/8) | > | surds_comparison | `maxValue=100` `maxRoot=10` |
|
||||
| 63 | [Profit or Loss Percent](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/profit_loss_percent.py) | Loss percent when CP = 821 and SP = 113 is: | 86.23629719853837 | profit_loss_percent | `maxCP=1000` `maxSP=1000` |
|
||||
| 66 | [Geometric Progression](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/geometric_progression.py) | For the given GP [5, 15, 45, 135, 405, 1215] ,Find the value of a,common ratio,10th term value, sum upto 11th term | The value of a is 5, common ratio is 3 , 10th term is 98415 , sum upto 11th term is 442865.0 | geometric_progression | `number_values=6` `min_value=2` `max_value=12` `n_term=7` `sum_term=5` |
|
||||
| 67 | [Geometric Mean of N Numbers](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/geometric_mean.py) | Geometric mean of 4 numbers 76 , 17 , 48 , 57 = | (76*17*48*57)^(1/4) = 43.36053695794891 | geometric_mean | `maxValue=100` `maxNum=4` |
|
||||
| 68 | [Harmonic Mean of N Numbers](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/harmonic_mean.py) | Harmonic mean of 4 numbers 12 , 23 , 94 , 96 = | 4/((1/12) + (1/23) + (1/94) + (1/96)) = 27.0514173998045 | harmonic_mean | `maxValue=100` `maxNum=4` |
|
||||
| 69 | [Euclidian norm or L2 norm of a vector](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/euclidian_norm.py) | Euclidian norm or L2 norm of the vector[802.4475305377166, 660.7012519538307, 370.72333556197833, 54.54747734093479, 367.379416204208, 945.4792894951261, 219.91075384694793, 302.48678829534293] is: | 1545.8386466508773 | euclidian_norm | `maxEltAmt=20` |
|
||||
| 81 | [Celsius To Fahrenheit](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/celsius_to_fahrenheit.py) | Convert 6 degrees Celsius to degrees Fahrenheit = | 42.8 | celsius_to_fahrenheit | `maxTemp=100` |
|
||||
| 82 | [AP Term Calculation](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/arithmetic_progression_term.py) | Find the term number 67 of the AP series: -19, -81, -143 ... | -4111 | arithmetic_progression_term | `maxd=100` `maxa=100` `maxn=100` |
|
||||
| 83 | [AP Sum Calculation](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/arithmetic_progression_sum.py) | Find the sum of first 45 terms of the AP series: 58, 32, 6 ... | -23130.0 | arithmetic_progression_sum | `maxd=100` `maxa=100` `maxn=100` |
|
||||
| 85 | [Converts decimal to Roman Numerals](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/decimal_to_roman_numerals.py) | The number 0 in Roman Numerals is: | MMMDCCCXXXV | decimal_to_roman_numerals | `maxDecimal=4000` |
|
||||
| 92 | [Complex To Polar Form](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/complex_to_polar.py) | 17.12(2.0theta + i-17.0theta) | -1.45 | complex_to_polar | `minRealImaginaryNum=-20, maxRealImaginaryNum=20` |
|
||||
| 93 | [Union,Intersection,Difference of Two Sets](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/set_operation.py) | Given the two sets a={8, 9, 5} ,b={10, 3, 6, 7}.Find the Union,intersection,a-b,b-a and symmetric difference | Union is {3, 5, 6, 7, 8, 9, 10},Intersection is set(), a-b is {8, 9, 5},b-a is {10, 3, 6, 7}, Symmetric difference is {3, 5, 6, 7, 8, 9, 10} | set_operation | `minval=3` `maxval=7` `n_a=4` `n_b=5` |
|
||||
| 94 | [Base Conversion](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/base_conversion.py) | Convert E87 from base 16 to base 10. | 3719 | base_conversion | `maxNum=60000` `maxBase=16` |
|
||||
| 98 | [Quotient of Powers with Same Base](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/quotient_of_power_same_base.py) | The Quotient of 31^8 and 31^8 = 31^(8-8) = 31^0 | 1 | quotient_of_power_same_base | `maxBase=50` `maxPower=10` |
|
||||
| 99 | [Quotient of Powers with Same Power](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/quotient_of_power_same_power.py) | The Quotient of 24^1 and 19^1 = (24/19)^1 = 1.263157894736842^1 | 1.263157894736842 | quotient_of_power_same_power | `maxBase=50` `maxPower=10` |
|
||||
| 101 | [Leap Year or Not](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/is_leap_year.py) | Year 2086 | is not a leap year | is_leap_year | `minNumber=1900` `maxNumber=2099` |
|
||||
| 102 | [Minute to Hour conversion](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/minutes_to_hours.py) | Convert 680 minutes to Hours & Minutes | 11 hours and 20 minutes | minutes_to_hours | `maxMinutes=999` |
|
||||
| 106 | [signum function](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/signum_function.py) | signum of -93 is = | -1 | signum_function | `min=-999` `max=999` |
|
||||
| 109 | [Binomial distribution](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/binomial_distribution.py) | A manufacturer of metal pistons finds that, on average, 40.52% of the pistons they manufacture are rejected because they are incorrectly sized. What is the probability that a batch of 20 pistons will contain no more than 2 rejected pistons? | 0.32 | binomial_distribution | `` |
|
||||
## statistics
|
||||
| Id | Skill | Example problem | Example Solution | Function Name | Kwargs |
|
||||
|------|-------|-----------------|------------------|---------------|--------|
|
||||
| 30 | [Combinations of Objects](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/statistics/combinations.py) | Number of combinations from 15 objects picked 1 at a time | 15 | combinations | `maxlength=20` |
|
||||
| 42 | [Permutations](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/statistics/permutation.py) | Number of Permutations from 11 objects picked 8 at a time = | 6652800 | permutation | `maxlength=20` |
|
||||
| 52 | [Probability of a certain sum appearing on faces of dice](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/statistics/dice_sum_probability.py) | If 1 dice are rolled at the same time, the probability of getting a sum of 5 = | 1/6 | dice_sum_probability | `maxDice=3` |
|
||||
| 54 | [Confidence interval For sample S](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/statistics/confidence_interval.py) | The confidence interval for sample [214, 235, 201, 238, 244, 219, 266, 234, 298, 258, 255, 254, 243, 220, 223, 215, 209, 225, 296, 252, 267, 248, 262, 226, 205, 211, 265] with 99% confidence is | (252.7166888228517, 227.50553339937053) | confidence_interval | `` |
|
||||
| 59 | [Mean,Standard Deviation,Variance](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/statistics/data_summary.py) | Find the mean,standard deviation and variance for the data[31, 36, 35, 21, 38, 20, 19, 11, 37, 31, 24, 19, 18, 15, 17] | The Mean is 24.8 , Standard Deviation is 75.22666666666666, Variance is 8.673330771201261 | data_summary | `number_values=15` `minval=5` `maxval=50` |
|
||||
| 76 | [Mean and Median](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/statistics/mean_median.py) | Given the series of numbers [32, 87, 22, 86, 92, 17, 57, 68, 82, 94]. find the arithmatic mean and mdian of the series | Arithmetic mean of the series is 63.7 and Arithmetic median of this series is 75.0 | mean_median | `maxlen=10` |
|
||||
| 107 | [Conditional Probability](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/statistics/conditional_probability.py) | Someone tested positive for a nasty disease which only 1.78% of population have. Test sensitivity (true positive) is equal to SN= 96.47% whereas test specificity (true negative) SP= 92.86%. What is the probability that this guy really has that disease? | 19.67% | conditional_probability | `` |
|
||||
| 30 | [Combinations of Objects](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/statistics/combinations.py) | Number of combinations from 17 objects picked 0 at a time | 1 | combinations | `maxlength=20` |
|
||||
| 42 | [Permutations](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/statistics/permutation.py) | Number of Permutations from 16 objects picked 8 at a time = | 518918400 | permutation | `maxlength=20` |
|
||||
| 52 | [Probability of a certain sum appearing on faces of dice](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/statistics/dice_sum_probability.py) | If 3 dice are rolled at the same time, the probability of getting a sum of 5 = | 6/216 | dice_sum_probability | `maxDice=3` |
|
||||
| 54 | [Confidence interval For sample S](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/statistics/confidence_interval.py) | The confidence interval for sample [272, 287, 274, 273, 266, 212, 242, 258, 291, 243, 248, 240, 236, 232, 249, 207, 271, 251, 206, 282, 295, 283, 238, 210, 234, 288, 268, 229, 289, 219, 294, 264, 215] with 95% confidence is | (262.9335851189468, 244.09671791135625) | confidence_interval | `` |
|
||||
| 59 | [Mean,Standard Deviation,Variance](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/statistics/data_summary.py) | Find the mean,standard deviation and variance for the data[50, 29, 15, 50, 26, 25, 12, 16, 31, 38, 31, 5, 7, 42, 36] | The Mean is 27.533333333333335 , Standard Deviation is 193.0488888888889, Variance is 13.894203427648845 | data_summary | `number_values=15` `minval=5` `maxval=50` |
|
||||
| 76 | [Mean and Median](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/statistics/mean_median.py) | Given the series of numbers [6, 9, 17, 22, 26, 35, 37, 58, 75, 83]. find the arithmatic mean and mdian of the series | Arithmetic mean of the series is 36.8 and Arithmetic median of this series is 30.5 | mean_median | `maxlen=10` |
|
||||
| 107 | [Conditional Probability](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/statistics/conditional_probability.py) | Someone tested positive for a nasty disease which only 0.18% of population have. Test sensitivity (true positive) is equal to SN= 93.38% whereas test specificity (true negative) SP= 93.15%. What is the probability that this guy really has that disease? | 2.4% | conditional_probability | `` |
|
||||
|
||||
Reference in New Issue
Block a user