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lukew3
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@@ -68,139 +68,136 @@ This creates the pdf `ws.pdf` in your current directory
## algebra ## algebra
| Id | Skill | Example problem | Example Solution | Function Name | Kwargs | | Id | Skill | Example problem | Example Solution | Function Name | Kwargs |
|------|-------|-----------------|------------------|---------------|--------| |------|-------|-----------------|------------------|---------------|--------|
| 11 | [Basic Algebra](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/basic_algebra.py) | 7x + 5 = 8 | 3/7 | basic_algebra | `maxVariable=10` | | 11 | [Basic Algebra](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/basic_algebra.py) | 6x + 4 = 10 | 6 | basic_algebra | `maxVariable=10` |
| 12 | [Logarithm](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/log.py) | log2(16) | 4 | log | `maxBase=3` `maxVal=8` | | 12 | [Logarithm](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/log.py) | log3(729) | 6 | log | `maxBase=3` `maxVal=8` |
| 17 | [Integer Multiplication with 2x2 Matrix](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/multiply_int_to_22_matrix.py) | 12 * [[6, 0], [5, 8]] = | [[72,0],[60,96]] | multiply_int_to_22_matrix | `maxMatrixVal=10` `maxRes=100` | | 17 | [Integer Multiplication with 2x2 Matrix](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/multiply_int_to_22_matrix.py) | 3 * [[0, 3], [4, 6]] = | [[0,9],[12,18]] | multiply_int_to_22_matrix | `maxMatrixVal=10` `maxRes=100` |
| 20 | [Midpoint of the two point](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/midpoint_of_two_points.py) | (-13,12),(9,19)= | (-2.0,15.5) | midpoint_of_two_points | `maxValue=20` | | 20 | [Midpoint of the two point](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/midpoint_of_two_points.py) | (12,12),(18,-17)= | (15.0,-2.5) | midpoint_of_two_points | `maxValue=20` |
| 21 | [Factoring Quadratic](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/factoring.py) | x^2-6x-40 | (x-10)(x+4) | factoring | `range_x1=10` `range_x2=10` | | 21 | [Factoring Quadratic](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/factoring.py) | x^2-3x-10 | (x+2)(x-5) | factoring | `range_x1=10` `range_x2=10` |
| 23 | [Solve a System of Equations in R^2](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/system_of_equations.py) | -5x + 2y = 40, -10x + 7y = 80 | x = -8, y = 0 | system_of_equations | `range_x=10` `range_y=10` `coeff_mult_range=10` | | 23 | [Solve a System of Equations in R^2](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/system_of_equations.py) | 9x - 5y = -38, -6x - 5y = 67 | x = -7, y = -5 | system_of_equations | `range_x=10` `range_y=10` `coeff_mult_range=10` |
| 24 | [Distance between 2 points](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/distance_two_points.py) | Find the distance between (-8, -12) and (11, -8) | sqrt(377) | distance_two_points | `maxValXY=20` `minValXY=-20` | | 24 | [Distance between 2 points](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/distance_two_points.py) | Find the distance between (-10, -2) and (-9, -8) | sqrt(37) | distance_two_points | `maxValXY=20` `minValXY=-20` |
| 26 | [Linear Equations](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/linear_equations.py) | -5x + -19y = 155, 3x + -15y = 39 | x = -12, y = -5 | linear_equations | `n=2` `varRange=20` `coeffRange=20` | | 26 | [Linear Equations](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/linear_equations.py) | -4x + -8y = 44, 9x + 11y = -15 | x = 13, y = -12 | linear_equations | `n=2` `varRange=20` `coeffRange=20` |
| 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 = -7x + 9 and y = -10/2x + 6 | (3/2, -3/2) | intersection_of_two_lines | `minM=-10` `maxM=10` `minB=-10` `maxB=10` `minDenominator=1` `maxDenominator=6` | | 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 = -1x - 5 and y = -1/5x + 10 | (-75/4, 55/4) | intersection_of_two_lines | `minM=-10` `maxM=10` `minB=-10` `maxB=10` `minDenominator=1` `maxDenominator=6` |
| 43 | [Cross Product of 2 Vectors](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/vector_cross.py) | [14, 14, 17] X [-20, -1, 14] = | [213, -536, 266] | vector_cross | `minVal=-20` `maxVal=20` | | 43 | [Cross Product of 2 Vectors](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/vector_cross.py) | [18, -20, 16] X [3, -7, -20] = | [512, 408, -66] | vector_cross | `minVal=-20` `maxVal=20` |
| 45 | [Simple Interest](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/simple_interest.py) | Simple interest for a principle amount of 2241 dollars, 8% rate of interest and for a time period of 6 years is = | 1075.68 | simple_interest | `maxPrinciple=10000` `maxRate=10` `maxTime=10` | | 45 | [Simple Interest](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/simple_interest.py) | Simple interest for a principle amount of 8174 dollars, 10% rate of interest and for a time period of 5 years is = | 4087.0 | simple_interest | `maxPrinciple=10000` `maxRate=10` `maxTime=10` |
| 46 | [Multiplication of two matrices](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/matrix_multiplication.py) | Multiply<table><tr><td>-10</td><td>1</td><td>8</td><td>2</td></tr><tr><td>4</td><td>7</td><td>-8</td><td>-2</td></tr><tr><td>3</td><td>7</td><td>5</td><td>-8</td></tr></table>and<table><tr><td>-7</td><td>-2</td></tr><tr><td>0</td><td>10</td></tr><tr><td>4</td><td>10</td></tr><tr><td>-10</td><td>7</td></tr></table> | <table><tr><td>82</td><td>124</td></tr><tr><td>-40</td><td>-32</td></tr><tr><td>79</td><td>58</td></tr></table> | matrix_multiplication | `maxVal=100` `max_dim=10` | | 46 | [Multiplication of two matrices](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/matrix_multiplication.py) | Multiply<table><tr><td>-10</td><td>-7</td><td>4</td><td>-4</td></tr><tr><td>-6</td><td>2</td><td>10</td><td>-7</td></tr><tr><td>-9</td><td>-10</td><td>2</td><td>-6</td></tr></table>and<table><tr><td>2</td><td>8</td></tr><tr><td>0</td><td>-2</td></tr><tr><td>-10</td><td>5</td></tr><tr><td>7</td><td>0</td></tr></table> | <table><tr><td>-88</td><td>-46</td></tr><tr><td>-161</td><td>-2</td></tr><tr><td>-80</td><td>-42</td></tr></table> | matrix_multiplication | `maxVal=100` `max_dim=10` |
| 50 | [Quadratic Equation](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/quadratic_equation.py) | Zeros of the Quadratic Equation 43x^2+171x+71=0 | [-0.47, -3.51] | quadratic_equation | `maxVal=100` | | 50 | [Quadratic Equation](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/quadratic_equation.py) | Zeros of the Quadratic Equation 17x^2+45x+6=0 | [-0.14, -2.51] | quadratic_equation | `maxVal=100` |
| 65 | [Multiplication of 2 complex numbers](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/multiply_complex_numbers.py) | (-6+1j) * (15+20j) = | (-110-105j) | multiply_complex_numbers | `minRealImaginaryNum=-20` `maxRealImaginaryNum=20` | | 65 | [Multiplication of 2 complex numbers](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/multiply_complex_numbers.py) | (6+2j) * (3+15j) = | (-12+96j) | multiply_complex_numbers | `minRealImaginaryNum=-20` `maxRealImaginaryNum=20` |
| 72 | [Dot Product of 2 Vectors](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/vector_dot.py) | [1, -3, 12] . [10, 18, 7] = | 40 | vector_dot | `minVal=-20` `maxVal=20` | | 72 | [Dot Product of 2 Vectors](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/vector_dot.py) | [3, -16, -17] . [11, -10, 10] = | 23 | vector_dot | `minVal=-20` `maxVal=20` |
| 74 | [Inverse of a Matrix](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/invert_matrix.py) | Inverse of Matrix Matrix([[63, 26, 31], [41, 88, 53], [23, 17, 73]]) is: | Matrix([[1841/86896, -457/86896, -225/43448], [-887/130344, 1943/130344, -517/65172], [-1327/260688, -473/260688, 2239/130344]]) | invert_matrix | `SquareMatrixDimension=3` `MaxMatrixElement=99` `OnlyIntegerElementsInInvertedMatrix=False` | | 74 | [Inverse of a Matrix](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/invert_matrix.py) | Inverse of Matrix Matrix([[32, 31, 47], [23, 71, 96], [61, 44, 54]]) is: | Matrix([[390/25439, -394/25439, 361/25439], [-4614/25439, 1139/25439, 1991/25439], [3319/25439, -483/25439, -1559/25439]]) | invert_matrix | `SquareMatrixDimension=3` `MaxMatrixElement=99` `OnlyIntegerElementsInInvertedMatrix=False` |
| 77 | [Determinant to 2x2 Matrix](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/int_matrix_22_determinant.py) | Det([[83, 6], [16, 95]]) = | 7789 | int_matrix_22_determinant | `maxMatrixVal=100` | | 77 | [Determinant to 2x2 Matrix](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/int_matrix_22_determinant.py) | Det([[68, 34], [62, 96]]) = | 4420 | int_matrix_22_determinant | `maxMatrixVal=100` |
| 78 | [Compound Interest](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/compound_interest.py) | Compound interest for a principle amount of 9301 dollars, 9% rate of interest and for a time period of 3 year is = | 12045.06 | compound_interest | `maxPrinciple=10000` `maxRate=10` `maxTime=10` | | 78 | [Compound Interest](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/compound_interest.py) | Compound interest for a principle amount of 9952 dollars, 2% rate of interest and for a time period of 7 year is = | 11431.72 | compound_interest | `maxPrinciple=10000` `maxRate=10` `maxTime=10` |
| 100 | [complex Quadratic Equation](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/complex_quadratic.py) | Find the roots of given Quadratic Equation x^2 + 7x + 2 = 0 | simplified solution : ((-0.298, -6.702)), generalized solution : ((-7 + sqrt(41))/2*1, (-7 - sqrt(41))/2*1) | complex_quadratic | `prob_type=0` `max_range=10` | | 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 + 6x + 1 = 0 | simplified solution : ((-0.333, -0.333)), generalized solution : ((-6 + 0)/2*9, (-6 - 0)/2*9) | complex_quadratic | `prob_type=0` `max_range=10` |
| 105 | [Combine Like terms](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/combine_like_terms.py) | 4x^3 + 4x^1 + 8x^1 + 9x^5 + 7x^4 + 9x^3 + 6x^5 | 12x^1 + 13x^3 + 7x^4 + 15x^5 | combine_like_terms | `maxCoef=10` `maxExp=20` `maxTerms=10` | | 105 | [Combine Like terms](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/combine_like_terms.py) | 5x^4 + 7x^4 + 5x^1 + 6x^2 + 4x^4 | 5x^1 + 6x^2 + 16x^4 | combine_like_terms | `maxCoef=10` `maxExp=20` `maxTerms=10` |
| 111 | [Expanding Factored Binomial](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/expanding.py) | (-9x-1)(-10x-1) | 90*x^2+19*x+1 | expanding | `range_x1=10` `range_x2=10` `range_a=10` `range_b=10` | | 111 | [Expanding Factored Binomial](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/expanding.py) | (-10x-3)(-4x-7) | 40*x^2+82*x+21 | expanding | `range_x1=10` `range_x2=10` `range_a=10` `range_b=10` |
## basic_math ## basic_math
| Id | Skill | Example problem | Example Solution | Function Name | Kwargs | | Id | Skill | Example problem | Example Solution | Function Name | Kwargs |
|------|-------|-----------------|------------------|---------------|--------| |------|-------|-----------------|------------------|---------------|--------|
| 0 | [Addition](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/addition.py) | 27+42= | 69 | addition | `maxSum=99` `maxAddend=50` | | 0 | [Addition](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/addition.py) | 19+16= | 35 | addition | `maxSum=99` `maxAddend=50` |
| 1 | [Subtraction](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/subtraction.py) | 8-0= | 8 | subtraction | `maxMinuend=99` `maxDiff=99` | | 1 | [Subtraction](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/subtraction.py) | 90-34= | 56 | subtraction | `maxMinuend=99` `maxDiff=99` |
| 2 | [Multiplication](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/multiplication.py) | 12*4= | 48 | multiplication | `maxMulti=12` | | 2 | [Multiplication](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/multiplication.py) | 8*4= | 32 | multiplication | `maxMulti=12` |
| 3 | [Division](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/division.py) | 130/13= | 10 | division | `maxA=25` `maxB=25` | | 3 | [Division](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/division.py) | 450/25= | 18 | division | `maxA=25` `maxB=25` |
| 6 | [Square Root](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/square_root.py) | sqrt(36)= | 6 | square_root | `minNo=1` `maxNo=12` | | 6 | [Square Root](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/square_root.py) | sqrt(1)= | 1 | square_root | `minNo=1` `maxNo=12` |
| 8 | [Square](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/square.py) | 10^2= | 100 | square | `maxSquareNum=20` | | 8 | [Square](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/square.py) | 14^2= | 196 | square | `maxSquareNum=20` |
| 13 | [Complex Division](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/complex_division.py) | 55/4= | 13.75 | complex_division | `maxRes=99` `maxDivid=99` | | 13 | [Complex Division](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/complex_division.py) | 98/60= | 1.63 | complex_division | `maxRes=99` `maxDivid=99` |
| 16 | [Fraction Division](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/divide_fractions.py) | (9/8)/(8/10) | 45/32 | divide_fractions | `maxVal=10` | | 16 | [Fraction Division](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/divide_fractions.py) | (5/6)/(7/1) | 5/42 | divide_fractions | `maxVal=10` |
| 28 | [Fraction Multiplication](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/fraction_multiplication.py) | (4/1)*(10/2) | 20 | fraction_multiplication | `maxVal=10` | | 28 | [Fraction Multiplication](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/fraction_multiplication.py) | (7/2)*(2/1) | 7 | fraction_multiplication | `maxVal=10` |
| 31 | [Factorial](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/factorial.py) | 6! = | 720 | factorial | `maxInput=6` | | 31 | [Factorial](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/factorial.py) | 5! = | 120 | factorial | `maxInput=6` |
| 44 | [Compare Fractions](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/compare_fractions.py) | Which symbol represents the comparison between 4/5 and 7/9? | > | compare_fractions | `maxVal=10` | | 44 | [Compare Fractions](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/compare_fractions.py) | Which symbol represents the comparison between 3/7 and 3/4? | < | compare_fractions | `maxVal=10` |
| 47 | [Cube Root](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/cube_root.py) | What is the cube root of 835 up to 2 decimal places? | 9.42 | cube_root | `minNo=1` `maxNo=1000` | | 47 | [Cube Root](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/cube_root.py) | What is the cube root of 365 up to 2 decimal places? | 7.15 | cube_root | `minNo=1` `maxNo=1000` |
| 53 | [Exponentiation](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/exponentiation.py) | 2^5 = | 32 | exponentiation | `maxBase=20` `maxExpo=10` | | 53 | [Exponentiation](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/exponentiation.py) | 12^8 = | 429981696 | exponentiation | `maxBase=20` `maxExpo=10` |
| 71 | [Absolute difference between two numbers](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/absolute_difference.py) | |2--88|= | 90 | absolute_difference | `maxA=100` `maxB=100` | | 71 | [Absolute difference between two numbers](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/absolute_difference.py) | |65--1|= | 66 | absolute_difference | `maxA=100` `maxB=100` |
| 80 | [Percentage of a number](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/percentage.py) | What is 65% of 80? | 52.00 | percentage | `maxValue=99` `maxpercentage=99` | | 80 | [Percentage of a number](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/percentage.py) | What is 91% of 36? | 32.76 | percentage | `maxValue=99` `maxpercentage=99` |
| 90 | [isprime](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/is_prime.py) | Is 26 prime? | No | is_prime | `max_num=100` | | 90 | [isprime](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/is_prime.py) | Is 33 prime? | No | is_prime | `max_num=100` |
| 97 | [Power of Powers](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/power_of_powers.py) | Simplify 34^9^10= | 34^90 | power_of_powers | `maxBase=50` `maxPower=10` | | 97 | [Power of Powers](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/power_of_powers.py) | Simplify 17^8^5= | 17^40 | power_of_powers | `maxBase=50` `maxPower=10` |
| 114 | [Percentage error](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/percentage_error.py) | Find the percentage error when observed value equals 80 and exact value equals 8. | 900.0% | percentage_error | `maxValue=100` `minValue=-100` |
## calculus ## calculus
| Id | Skill | Example problem | Example Solution | Function Name | Kwargs | | Id | Skill | Example problem | Example Solution | Function Name | Kwargs |
|------|-------|-----------------|------------------|---------------|--------| |------|-------|-----------------|------------------|---------------|--------|
| 7 | [Power Rule Differentiation](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/calculus/power_rule_differentiation.py) | 8x^8 + 10x^7 + 1x^8 + 10x^6 | 64x^7 + 70x^6 + 8x^7 + 60x^5 | power_rule_differentiation | `maxCoef=10` `maxExp=10` `maxTerms=5` | | 7 | [Power Rule Differentiation](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/calculus/power_rule_differentiation.py) | 3x^7 + 3x^4 + 2x^7 | 21x^6 + 12x^3 + 14x^6 | 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) | 1x^5 + 9x^4 + 3x^9 + 4x^8 | (1/5)x^6 + (9/4)x^5 + (3/9)x^10 + (4/8)x^9 + c | power_rule_integration | `maxCoef=10` `maxExp=10` `maxTerms=5` | | 48 | [Power Rule Integration](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/calculus/power_rule_integration.py) | 7x^7 + 2x^4 + 3x^10 + 10x^8 + 10x^6 | (7/7)x^8 + (2/4)x^5 + (3/10)x^11 + (10/8)x^9 + (10/6)x^7 + 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(cot(x)+7*x^(-3))/dx | -cot(x)^2 - 1 - 21/x^4 | differentiation | `diff_lvl=2` | | 88 | [Differentiation](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/calculus/differentiation.py) | differentiate w.r.t x : d(ln(x)+2*x^2)/dx | 4*x + 1/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 91x^2 + 2x + 25 is = | 56.3333 | definite_integral | `max_coeff=100` | | 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 1x^2 + 36x + 56 is = | 74.3333 | definite_integral | `max_coeff=100` |
| 110 | [Stationary Points](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/calculus/stationary_points.py) | f(x)=7*x^3 + 3*x^2 + 4*x | | stationary_points | `maxExp=3` `maxCoef=10` | | 110 | [Stationary Points](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/calculus/stationary_points.py) | f(x)=5*x^3 + 3*x^2 + x + 8 | | stationary_points | `maxExp=3` `maxCoef=10` |
## computer_science ## computer_science
| Id | Skill | Example problem | Example Solution | Function Name | Kwargs | | 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) | 0010100= | 1101011 | binary_complement_1s | `maxDigits=10` | | 4 | [Binary Complement 1s](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/binary_complement_1s.py) | 11= | 00 | binary_complement_1s | `maxDigits=10` |
| 5 | [Modulo Division](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/modulo_division.py) | 34%7= | 6 | modulo_division | `maxRes=99` `maxModulo=99` | | 5 | [Modulo Division](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/modulo_division.py) | 6%41= | 6 | 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 35= | 100011 | decimal_to_binary | `max_dec=99` | | 14 | [Decimal to Binary](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/decimal_to_binary.py) | Binary of 29= | 11101 | 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) | 1110 | 14 | binary_to_decimal | `max_dig=10` | | 15 | [Binary to Decimal](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/binary_to_decimal.py) | 1000001 | 65 | 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 12 numbers is ? | [0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89] | fibonacci_series | `minNo=1` | | 56 | [Fibonacci Series](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/fibonacci_series.py) | The Fibonacci Series of the first 15 numbers is ? | [0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377] | 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` | | 62 | [nth Fibonacci number](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/nth_fibonacci_number.py) | What is the 85th Fibonacci number? | 259695496911123328 | nth_fibonacci_number | `maxN=100` |
| 64 | [Binary to Hexidecimal](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/binary_to_hex.py) | 00 | 0x0 | binary_to_hex | `max_dig=10` | | 64 | [Binary to Hexidecimal](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/binary_to_hex.py) | 1 | 0x1 | 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 1 = | 1 | binary_2s_complement | `maxDigits=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 1111 = | 1 | 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 406= | 0x196 | decimal_to_hexadeci | `max_dec=1000` | | 79 | [Decimal to Hexadecimal](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/decimal_to_hexadeci.py) | Binary of 899= | 0x383 | 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 3398 in Octal is: | 0o6506 | decimal_to_octal | `maxDecimal=4096` | | 84 | [Converts decimal to octal](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/decimal_to_octal.py) | The decimal number 1911 in Octal is: | 0o3567 | 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 5 is = | 21877 | bcd_to_decimal | `maxNumber=10000` | | 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 4 is = | 18743 | 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 8241 is = | 2031 | decimal_to_bcd | `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 6410 is = | 19010 | decimal_to_bcd | `maxNumber=10000` |
## geometry ## geometry
| Id | Skill | Example problem | Example Solution | Function Name | Kwargs | | 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: 7 5 8 = | 17.320508075688775 | area_of_triangle | `maxA=20` `maxB=20` `maxC=20` | | 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 3 14 = | 18.97 | area_of_triangle | `maxA=20` `maxB=20` |
| 19 | [Triangle exists check](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/valid_triangle.py) | Does triangle with sides 1, 10 and 7 exist? | No | valid_triangle | `maxSideLength=50` | | 19 | [Triangle exists check](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/valid_triangle.py) | Does triangle with sides 22, 40 and 28 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 41 and 4 = | 135 | third_angle_of_triangle | `maxAngle=89` | | 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 23 and 64 = | 93 | 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 18 and 9 = | 20.12 | pythagorean_theorem | `maxLength=20` | | 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 14 and 2 = | 14.14 | 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 18 sides | 160.0 | angle_regular_polygon | `minVal=3` `maxVal=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 16 sides | 157.5 | 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 = 1m is | 6 m^2 | surface_area_cube | `maxSide=20` `unit='m'` | | 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 = 12m is | 864 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 = 11m, 9m, 14m is | 758 m^2 | surface_area_cuboid | `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 = 15m, 18m, 14m is | 1464 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 = 32m and radius = 11m is | 2971 m^2 | surface_area_cylinder | `maxRadius=20` `maxHeight=50` `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 = 43m and radius = 20m is | 7916 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 = 2m is | 8 m^3 | volume_cube | `maxSide=20` `unit='m'` | | 35 | [Volum of Cube](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/volume_cube.py) | Volume of cube with side = 5m is | 125 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 = 16m, 20m, 16m is | 5120 m^3 | volume_cuboid | `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 = 10m, 2m, 11m is | 220 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 = 5m and radius = 3m is | 141 m^3 | volume_cylinder | `maxRadius=20` `maxHeight=50` `unit='m'` | | 37 | [Volume of cylinder](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/volume_cylinder.py) | Volume of cylinder with height = 1m and radius = 9m is | 254 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 = 7m and radius = 20m is | 2588 m^2 | surface_area_cone | `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 = 6m and radius = 17m is | 1870 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 = 11m and radius = 15m is | 2591 m^3 | volume_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 = 11m and radius = 12m is | 1658 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 154 , 53, 132 = | 21 | fourth_angle_of_quadrilateral | `maxAngle=180` | | 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 26 , 87, 224 = | 23 | fourth_angle_of_quadrilateral | `maxAngle=180` |
| 57 | [Trigonometric Values](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/basic_trigonometry.py) | What is cos(60)? | 1/2 | basic_trigonometry | `angles=[0, 30, 45, 60, 90]` `functions=['sin', 'cos', 'tan']` | | 57 | [Trigonometric Values](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/basic_trigonometry.py) | What is tan(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 12 sides = | 1800 | sum_of_polygon_angles | `maxSides=12` | | 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 12 sides = | 1800 | 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 = 3m is | 113.09733552923255 m^2 | surface_area_sphere | `maxSide=20` `unit='m'` | | 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 = 11m is | 1520.5308443374597 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 78 m = | 1987798.7692617911 m^3 | volume_sphere | `maxRadius=100` | | 61 | [Volume of Sphere](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/volume_sphere.py) | Volume of sphere with radius 59 m = | 860289.5434688241 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 [997.76, 915.16, 886.73, 65.66, 59.48, 928.61, 268.24, 889.07, 302.53, 894.95] and [457.87, 988.95, 229.31, 312.49, 386.73, 822.4, 888.11, 849.72, 366.12, 582.06] is: | 0.54 radians | angle_btw_vectors | `maxEltAmt=20` | | 70 | [Angle between 2 vectors](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/angle_btw_vectors.py) | angle between the vectors [518.23, 555.93, 404.27, 717.2, 447.13, 348.28, 803.64, 318.06, 990.3, 7.58, 578.15, 363.52, 81.91, 914.96, 969.28, 644.62, 381.77, 713.75] and [680.62, 497.49, 673.42, 601.55, 729.72, 341.6, 512.4, 884.63, 528.37, 633.09, 881.61, 791.12, 631.8, 663.39, 725.39, 765.56, 646.59, 135.69] is: | 0.57 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, 48 and angle, 145. Find the area of the sector. | Area of sector = 2915.39798 | sector_area | `maxRadius=49` `maxAngle=359` | | 75 | [Area of a Sector](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/sector_area.py) | Given radius, 38 and angle, 72. Find the area of the sector. | Area of sector = 907.29196 | 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 5 in radians is = | 0.09 | degree_to_rad | `max_deg=360` | | 86 | [Degrees to Radians](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/degree_to_rad.py) | Angle 324 in radians is = | 5.65 | 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 3 in degrees is = | 171.89 | radian_to_deg | `max_rad=3` | | 87 | [Radians to Degrees](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/radian_to_deg.py) | Angle 0 in degrees is = | 0.0 | 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, 22 and height, 58? | CSA of cylinder = 8017.34 | curved_surface_area_cylinder | `maxRadius=49` `maxHeight=99` | | 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, 18 and height, 16? | CSA of cylinder = 1809.56 | 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 12 sided polygon with lengths of [59, 37, 45, 116, 15, 97, 52, 45, 37, 89, 98, 71]cm is: | 761 | perimeter_of_polygons | `maxSides=12` `maxLength=120` | | 96 | [Perimeter of Polygons](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/perimeter_of_polygons.py) | The perimeter of a 8 sided polygon with lengths of [67, 48, 51, 66, 111, 99, 6, 13]cm is: | 461 | 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 19 | 119.38052083641213 | circumference | `maxRadius=100` | | 104 | [Circumference](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/circumference.py) | Circumference of circle with radius 91 | 571.7698629533423 | circumference | `maxRadius=100` |
| 108 | [Arc length of Angle](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/arc_length.py) | Given radius, 40 and angle, 74. Find the arc length of the angle. | Arc length of the angle = 51.66175 | arc_length | `maxRadius=49` `maxAngle=359` | | 108 | [Arc length of Angle](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/arc_length.py) | Given radius, 18 and angle, 5. Find the arc length of the angle. | Arc length of the angle = 1.57080 | 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 3 | 28.285714285714285 | area_of_circle | `maxRadius=100` | | 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` |
| 113 | [Volume of frustum](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/volume_frustum.py) | Volume of frustum with height = 23m and r1 = 19m is and r2 = 19m is | 15679.0 m^3 | volume_frustum | `maxR1=20` `maxR2=20` `maxHeight=50` `unit='m'` | | 113 | [Volume of frustum](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/volume_frustum.py) | Volume of frustum with height = 35m and r1 = 11m is and r2 = 11m is | 8173.0 m^3 | volume_frustum | `maxR1=20` `maxR2=20` `maxHeight=50` `unit='m'` |
| 114 | [Equation of line from two points](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/equation_of_line_from_two_points.py) | What is the equation of the line between points (-19,-11) and (-4,20) in slope-intercept form? | 15y = 31x + 424 | equation_of_line_from_two_points | `maxCoordinate=20` `minCoordinate=-20` |
| 115 | [Area of circle given center and a point on it](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/area_of_circle_given_center_and_point.py) | Area of circle with center (2,9) and passing through (12.0, 9.0) is? | 314.16 | area_of_circle_given_center_and_point | `maxCoordinate=10` `maxRadius=10` |
| 117 | [Volume of Hemisphere](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/volume_hemisphere.py) | Volume of hemisphere with radius 6 m = | 452.389 m^3 | volume_hemisphere | `maxRadius=100` |
## misc ## misc
| Id | Skill | Example problem | Example Solution | Function Name | Kwargs | | 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 17 and 1 = | 17 | lcm | `maxVal=20` | | 9 | [LCM (Least Common Multiple)](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/lcm.py) | LCM of 3 and 9 = | 9 | lcm | `maxVal=20` |
| 10 | [GCD (Greatest Common Denominator)](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/gcd.py) | GCD of 4 and 10 = | 2 | gcd | `maxVal=20` | | 10 | [GCD (Greatest Common Denominator)](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/gcd.py) | GCD of 16 and 7 = | 1 | gcd | `maxVal=20` |
| 27 | [Prime Factorisation](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/prime_factors.py) | Find prime factors of 65 | [5, 13] | prime_factors | `minVal=1` `maxVal=200` | | 27 | [Prime Factorisation](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/prime_factors.py) | Find prime factors of 106 | [2, 53] | 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 2 and 96 = | [1, 2] | common_factors | `maxVal=100` | | 40 | [Common Factors](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/common_factors.py) | Common Factors of 43 and 5 = | [1] | common_factors | `maxVal=100` |
| 51 | [HCF (Highest Common Factor)](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/hcf.py) | HCF of 3 and 3 = | 3 | hcf | `maxVal=20` | | 51 | [HCF (Highest Common Factor)](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/hcf.py) | HCF of 14 and 10 = | 2 | hcf | `maxVal=20` |
| 55 | [Comparing surds](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/surds_comparison.py) | Fill in the blanks 10^(1/9) _ 81^(1/1) | < | surds_comparison | `maxValue=100` `maxRoot=10` | | 55 | [Comparing surds](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/surds_comparison.py) | Fill in the blanks 39^(1/3) _ 84^(1/7) | > | 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 = 776 and SP = 765 is: | 1.4175257731958764 | profit_loss_percent | `maxCP=1000` `maxSP=1000` | | 63 | [Profit or Loss Percent](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/profit_loss_percent.py) | Loss percent when CP = 384 and SP = 204 is: | 46.875 | 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 [11, 44, 176, 704, 2816, 11264] ,Find the value of a,common ratio,7th term value, sum upto 11th term | The value of a is 11, common ratio is 4 , 7th term is 45056 , sum upto 11th term is 15379111.0 | geometric_progression | `number_values=6` `min_value=2` `max_value=12` `n_term=7` `sum_term=5` | | 66 | [Geometric Progression](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/geometric_progression.py) | For the given GP [9, 54, 324, 1944, 11664, 69984] ,Find the value of a,common ratio,11th term value, sum upto 10th term | The value of a is 9, common ratio is 6 , 11th term is 544195584 , sum upto 10th term is 108839115.0 | 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 3 numbers 81 , 86 and 10 = | (81*86*10)^(1/3) = 41.14601910222523 | geometric_mean | `maxValue=100` `maxNum=4` | | 67 | [Geometric Mean of N Numbers](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/geometric_mean.py) | Geometric mean of 3 numbers 30 , 70 and 71 = | (30*70*71)^(1/3) = 53.02644935921312 | 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 3 numbers 16 , 8 and 90 = | 3/((1/16) + (1/8) + (1/90)) = 15.104895104895105 | harmonic_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 24 , 69 , 1 , 64 = | 4/((1/24) + (1/69) + (1/1) + (1/64)) = 3.732093809423199 | 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[713.3697155960601, 113.23693566589287, 110.16552790278855, 394.36588841562923, 761.5268202733965, 323.174835097221, 636.0137791095572] is: | 1333.5135737837843 | euclidian_norm | `maxEltAmt=20` | | 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[367.08889663205525, 863.0673225177605, 774.103655547893, 189.97419494551738, 185.16756637556276, 49.75772515381782, 630.8697835264877, 512.1399233850082, 484.9808617378449, 52.54068485331298] is: | 1565.2411728116062 | euclidian_norm | `maxEltAmt=20` |
| 81 | [Celsius To Fahrenheit](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/celsius_to_fahrenheit.py) | Convert -4 degrees Celsius to degrees Fahrenheit = | 24.8 | celsius_to_fahrenheit | `maxTemp=100` | | 81 | [Celsius To Fahrenheit](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/celsius_to_fahrenheit.py) | Convert 29 degrees Celsius to degrees Fahrenheit = | 84.2 | 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 36 of the AP series: -59, -150, -241 ... | -3244 | arithmetic_progression_term | `maxd=100` `maxa=100` `maxn=100` | | 82 | [AP Term Calculation](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/arithmetic_progression_term.py) | Find the term number 55 of the AP series: -59, -140, -221 ... | -4433 | 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 58 terms of the AP series: 60, 71, 82 ... | 21663.0 | arithmetic_progression_sum | `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: 77, 58, 39 ... | -15345.0 | 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: | MMMCCI | decimal_to_roman_numerals | `maxDecimal=4000` | | 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: | MMMLXXXIV | 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) | 16.28(-16.0theta + i3.0theta) | 2.96 | complex_to_polar | `minRealImaginaryNum=-20, maxRealImaginaryNum=20` | | 92 | [Complex To Polar Form](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/complex_to_polar.py) | 3.61(2.0theta + i3.0theta) | 0.98 | 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, 10, 4} ,b={2, 3, 6, 7}.Find the Union,intersection,a-b,b-a and symmetric difference | Union is {2, 3, 4, 6, 7, 8, 10},Intersection is set(), a-b is {8, 10, 4},b-a is {2, 3, 6, 7}, Symmetric difference is {2, 3, 4, 6, 7, 8, 10} | set_operation | `minval=3` `maxval=7` `n_a=4` `n_b=5` | | 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={2, 10, 3, 4} ,b={2, 4, 5, 6, 7}.Find the Union,intersection,a-b,b-a and symmetric difference | Union is {2, 3, 4, 5, 6, 7, 10},Intersection is {2, 4}, a-b is {10, 3},b-a is {5, 6, 7}, Symmetric difference is {3, 5, 6, 7, 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 101743 from base 8 to base 16. | 83E3 | base_conversion | `maxNum=60000` `maxBase=16` | | 94 | [Base Conversion](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/base_conversion.py) | Convert 35918 from base 10 to base 2. | 1000110001001110 | 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 19^9 and 19^4 = 19^(9-4) = 19^5 | 2476099 | quotient_of_power_same_base | `maxBase=50` `maxPower=10` | | 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 43^4 and 43^7 = 43^(4-7) = 43^-3 | 1.2577508898587546e-05 | 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 1^5 and 11^5 = (1/11)^5 = 0.09090909090909091^5 | 6.209213230591552e-06 | quotient_of_power_same_power | `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 2^9 and 8^9 = (2/8)^9 = 0.25^9 | 3.814697265625e-06 | 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 2084 | is a leap year | is_leap_year | `minNumber=1900` `maxNumber=2099` | | 101 | [Leap Year or Not](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/is_leap_year.py) | Year 1967 | 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 525 minutes to Hours & Minutes | 8 hours and 45 minutes | minutes_to_hours | `maxMinutes=999` | | 102 | [Minute to Hour conversion](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/minutes_to_hours.py) | Convert 233 minutes to Hours & Minutes | 3 hours and 53 minutes | minutes_to_hours | `maxMinutes=999` |
| 106 | [signum function](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/signum_function.py) | signum of 17 is = | 1 | signum_function | `min=-999` `max=999` | | 106 | [signum function](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/signum_function.py) | signum of -103 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, 32.13% of the pistons they manufacture are rejected because they are incorrectly sized. What is the probability that a batch of 14 pistons will contain no more than 1 rejected pistons? | 3.36 | binomial_distribution | `` | | 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, 31.73% 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 5 rejected pistons? | 90.06 | binomial_distribution | `` |
| 116 | [Factors](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/Factors.py) | Factors of 820 = | [1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820] | Factors | `maxVal=1000` |
## statistics ## statistics
| Id | Skill | Example problem | Example Solution | Function Name | Kwargs | | 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 16 objects picked 8 at a time | 12870 | combinations | `maxlength=20` | | 30 | [Combinations of Objects](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/statistics/combinations.py) | Number of combinations from 16 objects picked 9 at a time | 11440 | combinations | `maxlength=20` |
| 42 | [Permutations](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/statistics/permutation.py) | Number of Permutations from 14 objects picked 0 at a time = | 1 | permutation | `maxlength=20` | | 42 | [Permutations](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/statistics/permutation.py) | Number of Permutations from 11 objects picked 6 at a time = | 332640 | 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 2 dice are rolled at the same time, the probability of getting a sum of 2 = | 1/36 | dice_sum_probability | `maxDice=3` | | 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 15 = | 10/216 | 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 [297, 220, 227, 267, 249, 243, 258, 209, 203, 276, 239, 241, 283, 226, 246, 240, 273, 222, 254, 290, 244, 225, 286, 228, 296, 233, 238, 229, 264, 210, 235, 298, 256, 223, 242, 202] with 90% confidence is | (253.8057739042855, 239.0831149846034) | confidence_interval | `` | | 54 | [Confidence interval For sample S](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/statistics/confidence_interval.py) | The confidence interval for sample [202, 216, 293, 297, 257, 246, 278, 215, 255, 232, 218, 295, 235, 256, 252, 294, 270, 284, 231, 239, 227, 248, 290, 230, 274, 243, 238] with 80% confidence is | (259.18488262567246, 245.62993218914235) | 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[17, 28, 12, 9, 29, 46, 19, 37, 49, 46, 7, 45, 8, 17, 9] | The Mean is 25.2 , Standard Deviation is 232.29333333333332, Variance is 15.241172308367009 | data_summary | `number_values=15` `minval=5` `maxval=50` | | 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[45, 8, 16, 42, 38, 47, 31, 23, 14, 16, 14, 37, 23, 5, 29] | The Mean is 25.866666666666667 , Standard Deviation is 175.18222222222224, Variance is 13.23564211597693 | 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 [4, 25, 30, 45, 46, 49, 69, 70, 71, 95]. find the arithmatic mean and mdian of the series | Arithmetic mean of the series is 50.4 and Arithmetic median of this series is 47.5 | mean_median | `maxlen=10` | | 76 | [Mean and Median](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/statistics/mean_median.py) | Given the series of numbers [8, 12, 23, 27, 31, 66, 70, 84, 91, 97]. find the arithmatic mean and mdian of the series | Arithmetic mean of the series is 50.9 and Arithmetic median of this series is 48.5 | 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 1.46% of population have. Test sensitivity (true positive) is equal to SN= 95.64% whereas test specificity (true negative) SP= 97.97%. What is the probability that this guy really has that disease? | 41.11% | conditional_probability | `` | | 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 0.30% of population have. Test sensitivity (true positive) is equal to SN= 98.51% whereas test specificity (true negative) SP= 93.36%. What is the probability that this guy really has that disease? | 4.27% | conditional_probability | `` |

1
mathgenerator/funcs/basic_math/__init__.py
View File

@@ -10,6 +10,7 @@ from .division import *
from .exponentiation import * from .exponentiation import *
from .factorial import * from .factorial import *
from .fraction_multiplication import * from .fraction_multiplication import *
from .greatest_common_divisor import *
from .is_prime import * from .is_prime import *
from .multiplication import * from .multiplication import *
from .percentage import * from .percentage import *

2
mathgenerator/funcs/geometry/__init__.py
View File

@@ -4,6 +4,7 @@ from .angle_btw_vectors import *
from .angle_regular_polygon import * from .angle_regular_polygon import *
from .arc_length import * from .arc_length import *
from .area_of_circle import * from .area_of_circle import *
from .area_of_circle_given_center_and_point import *
from .area_of_triangle import * from .area_of_triangle import *
from .basic_trigonometry import * from .basic_trigonometry import *
from .circumference import * from .circumference import *
@@ -28,4 +29,5 @@ from .volume_cube import *
from .volume_cuboid import * from .volume_cuboid import *
from .volume_cylinder import * from .volume_cylinder import *
from .volume_frustum import * from .volume_frustum import *
from .volume_hemisphere import *
from .volume_sphere import * from .volume_sphere import *

8
mathgenerator/funcs/geometry/area_of_circle_given_center_and_point.py
View File

@@ -2,15 +2,15 @@ from .__init__ import *
from math import cos, sin, pi from math import cos, sin, pi
def gen_func(maxCoordinate = 10, maxRadius=10, format='string'): def gen_func(maxCoordinate=10, maxRadius=10, format='string'):
r = random.randint(0, maxRadius) r = random.randint(0, maxRadius)
center_x = random.randint(-maxCoordinate, maxCoordinate) center_x = random.randint(-maxCoordinate, maxCoordinate)
center_y = random.randint(-maxCoordinate, maxCoordinate) center_y = random.randint(-maxCoordinate, maxCoordinate)
angle = random.choice([0, pi//6, pi//2, pi, pi+pi//6, 3*pi//2]) angle = random.choice([0, pi // 6, pi // 2, pi, pi + pi // 6, 3 * pi // 2])
point_x = center_x + round(r*cos(angle), 2) point_x = center_x + round(r * cos(angle), 2)
point_y = center_y + round(r*sin(angle), 2) point_y = center_y + round(r * sin(angle), 2)
area = round(pi * r * r, 2) area = round(pi * r * r, 2)

18
mathgenerator/funcs/misc/Factors.py
View File

@@ -2,17 +2,17 @@ from .__init__ import *
def gen_func(maxVal=1000, format='string'): def gen_func(maxVal=1000, format='string'):
n = x = random.randint(1, maxVal) n = random.randint(1, maxVal)
factors = [] factors = []
for i in range(1, int(n**0.5) + 1) : for i in range(1, int(n**0.5) + 1):
if i**2 == n : if i**2 == n:
factors.append(i) factors.append(i)
elif n%i ==0 : elif n % i == 0:
factors.append(i) factors.append(i)
factors.append(n//i) factors.append(n // i)
else : else:
pass pass
factors.sort() factors.sort()
@@ -27,5 +27,5 @@ def gen_func(maxVal=1000, format='string'):
return n, factors return n, factors
common_factors = Generator("Factors", 116, gen_func, common_factors = Generator("Factors of a number", 116, gen_func,
["maxVal=1000"]) ["maxVal=1000"])

1
mathgenerator/funcs/misc/__init__.py
View File

@@ -1,5 +1,6 @@
from ...__init__ import * from ...__init__ import *
from .Factors import *
from .arithmetic_progression_sum import * from .arithmetic_progression_sum import *
from .arithmetic_progression_term import * from .arithmetic_progression_term import *
from .base_conversion import * from .base_conversion import *