# mathgenerator
A math problem generator, created for the purpose of giving self-studying students and teaching organizations the means to easily get access to random math problems to suit their needs.
To try out generators, go to
If you have an idea for a generator, please add it as an issue and tag it with the "New Generator" label.
## Usage
The project can be install via pip
```bash
pip install mathgenerator
```
Here is an example of how you would generate an addition problem:
```python
from mathgenerator import mathgen
#generate an addition problem
problem, solution = mathgen.addition()
#another way to generate an addition problem using genById()
problem, solution = mathgen.genById(0)
```
## List of Generators
| Id | Skill | Example problem | Example Solution | Function Name |
|------|-----------------------------------|--------------------|-----------------------|--------------------------|
[//]: # list start
| 0 | Addition | 39+28= | 67 | addition |
| 1 | Subtraction | 46-1= | 45 | subtraction |
| 2 | Multiplication | 70*1= | 70 | multiplication |
| 3 | Division | 79/83= | 0.9518072289156626 | division |
| 4 | Binary Complement 1s | 00= | 11 | binary_complement_1s |
| 5 | Modulo Division | 7%99= | 7 | modulo_division |
| 6 | Square Root | sqrt(36)= | 6 | square_root |
| 7 | Power Rule Differentiation | 1x^3 + 6x^9 + 4x^9 + 2x^3 + 7x^8 | 3x^2 + 54x^8 + 36x^8 + 6x^2 + 56x^7 | power_rule_differentiation |
| 8 | Square | 15^2= | 225 | square |
| 9 | LCM (Least Common Multiple) | LCM of 16 and 10 = | 80 | lcm |
| 10 | GCD (Greatest Common Denominator) | GCD of 14 and 13 = | 1 | gcd |
| 11 | Basic Algebra | 7x + 2 = 6 | 4/7 | basic_algebra |
| 12 | Logarithm | log2(16) | 4 | log |
| 13 | Easy Division | 345/15 = | 23 | int_division |
| 14 | Decimal to Binary | Binary of 4= | 100 | decimal_to_binary |
| 15 | Binary to Decimal | 0 | 0 | binary_to_decimal |
| 16 | Fraction Division | (3/10)/(3/5) | 1/2 | divide_fractions |
| 17 | Integer Multiplication with 2x2 Matrix | 5 * [[8, 0], [7, 3]] = | [[40,0],[35,15]] | multiply_int_to_22_matrix |
| 18 | Area of Triangle | Area of triangle with side lengths: 15 15 6 = | 44.090815370097204 | area_of_triangle |
| 19 | Triangle exists check | Does triangle with sides 15, 42 and 1 exist? | No | valid_triangle |
| 20 | Midpoint of the two point | (-10,19),(-11,-11)= | (-10.5,4.0) | midpoint_of_two_points |
| 21 | Factoring Quadratic | x^2-4x-12 | (x-6)(x+2) | factoring |
| 22 | Third Angle of Triangle | Third angle of triangle with angles 71 and 59 = | 50 | third_angle_of_triangle |
| 23 | Solve a System of Equations in R^2 | -5x - 7y = -66, -x + 5y = 6 | x = 9, y = 3 | system_of_equations |
| 24 | Distance between 2 points | Find the distance between (-8, -11) and (5, -4) | sqrt(218) | distance_two_points |
| 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 17 and 19 = | 25.50 | pythagorean_theorem |
| 26 | Linear Equations | 17x + -8y = -154
-15x + 13y = 23 | x = -18, y = -19 | linear_equations |
| 27 | Prime Factorisation | Find prime factors of 106 | [2, 53] | prime_factors |
| 28 | Fraction Multiplication | (3/9)*(8/4) | 2/3 | fraction_multiplication |
| 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 20 sides | 162.0 | angle_regular_polygon |
| 30 | Combinations of Objects | Number of combinations from 14 objects picked 6 at a time | 3003 | combinations |
| 31 | Factorial | 3! = | 6 | factorial |
| 32 | Surface Area of Cube | Surface area of cube with side = 16m is | 1536 m^2 | surface_area_cube |
| 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 14m, 4m, 4m is | 256 m^2 | surface_area_cuboid |
| 34 | Surface Area of Cylinder | Surface area of cylinder with height = 15m and radius = 4m is | 477 m^2 | surface_area_cylinder |
| 35 | Volum of Cube | Volume of cube with side = 3m is | 27 m^3 | volume_cube |
| 36 | Volume of Cuboid | Volume of cuboid with sides = 6m, 1m, 4m is | 24 m^3 | volume_cuboid |
| 37 | Volume of cylinder | Volume of cylinder with height = 3m and radius = 11m is | 1140 m^3 | volume_cylinder |
| 38 | Surface Area of cone | Surface area of cone with height = 22m and radius = 14m is | 1762 m^2 | surface_area_cone |
| 39 | Volume of cone | Volume of cone with height = 10m and radius = 14m is | 2052 m^3 | volume_cone |
| 40 | Common Factors | Common Factors of 69 and 45 = | [1, 3] | common_factors |
| 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = 10x - 4 and y = 6/6x + 10 | (14/9, 104/9) | intersection_of_two_lines |
| 42 | Permutations | Number of Permutations from 18 objects picked 3 at a time = | 4896 | permutation |
| 43 | Cross Product of 2 Vectors | [1, 3, 19] X [-1, 5, 4] = | [-83, -23, 8] | vector_cross |
| 44 | Compare Fractions | Which symbol represents the comparison between 1/10 and 9/6? | < | compare_fractions |
| 45 | Simple Interest | Simple interest for a principle amount of 3365 dollars, 8% rate of interest and for a time period of 2 years is = | 538.4 | simple_interest |
| 46 | Multiplication of two matrices | Multiplyand | | matrix_multiplication |
| 47 | Cube Root | cuberoot of 353 upto 2 decimal places is: | 7.07 | cube_root |
| 48 | Power Rule Integration | 7x^4 + 10x^3 | (7/4)x^5 + (10/3)x^4 + c | power_rule_integration |
| 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 52 , 119, 98 = | 91 | fourth_angle_of_quadrilateral |
| 50 | Quadratic Equation | Zeros of the Quadratic Equation 71x^2+167x+59=0 | [-0.43, -1.92] | quadratic_equation |
| 51 | HCF (Highest Common Factor) | HCF of 2 and 8 = | 2 | hcf |
| 52 | Probability of a certain sum appearing on faces of dice | If 2 dice are rolled at the same time, the probability of getting a sum of 2 = | 1/36 | dice_sum_probability |
| 53 | Exponentiation | 6^10 = | 60466176 | exponentiation |
| 54 | Confidence interval For sample S | The confidence interval for sample [241, 229, 246, 299, 220, 249, 289, 214, 280, 275, 276, 278, 202, 203, 256, 235, 294, 263, 233, 223, 206, 295, 216, 242] with 80% confidence is | (256.54200290575125, 240.45799709424878) | confidence_interval |
| 55 | Comparing surds | Fill in the blanks 8^(1/6) _ 38^(1/4) | < | surds_comparison |
| 56 | Fibonacci Series | The Fibonacci Series of the first 13 numbers is ? | [0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144] | fibonacci_series |
| 57 | Trigonometric Values | What is cos(0)? | 1 | basic_trigonometry |
| 58 | Sum of Angles of Polygon | Sum of angles of polygon with 12 sides = | 1800 | sum_of_polygon_angles |
| 59 | Mean,Standard Deviation,Variance | Find the mean,standard deviation and variance for the data[40, 14, 47, 30, 6, 32, 25, 32, 42, 34, 34, 37, 22, 30, 31] | The Mean is 30.4 , Standard Deviation is 102.77333333333331, Variance is 10.137718349477526 | data_summary |
| 60 | Surface Area of Sphere | Surface area of Sphere with radius = 1m is | 12.566370614359172 m^2 | surface_area_sphere |
| 61 | Volume of Sphere | Volume of sphere with radius 98 m = | 3942455.8304233127 m^3 | volume_sphere |
| 62 | nth Fibonacci number | What is the 26th Fibonacci number? | 121393 | nth_fibonacci_number |
| 63 | Profit or Loss Percent | Profit percent when CP = 171 and SP = 313 is: | 83.04093567251462 | profit_loss_percent |
| 64 | Binary to Hexidecimal | 1011101 | 0x5d | binary_to_hex |
| 65 | Multiplication of 2 complex numbers | (11+3j) * (2+18j) = | (-32+204j) | multiply_complex_numbers |
| 66 | Geometric Progression | For the given GP [8, 56, 392, 2744, 19208, 134456] ,Find the value of a,common ratio,7th term value, sum upto 8th term | The value of a is 8, common ratio is 7 , 7th term is 941192 , sum upto 8th term is 7686400.0 | geometric_progression |
| 67 | Geometric Mean of N Numbers | Geometric mean of 3 numbers 47 , 92 and 3 = | (47*92*3)^(1/3) = 23.49645336547587 | geometric_mean |
| 68 | Harmonic Mean of N Numbers | Harmonic mean of 3 numbers 94 , 92 and 59 = | 3/((1/94) + (1/92) + (1/59)) = 78.00917337682192 | harmonic_mean |
| 69 | Euclidian norm or L2 norm of a vector | Euclidian norm or L2 norm of the vector[304.9779176267893, 837.4224202657908] is: | 891.228276146907 | euclidian_norm |
| 70 | Angle between 2 vectors | angle between the vectors [673.5350704033146, 195.45799005765386, 92.93464829626352, 116.63589535434215, 594.8238225788838, 345.12804915831896, 421.4756162395643, 718.6449275827789, 134.11947817433213, 573.4174565052257, 96.96537158190588, 188.69415889717357] and [520.2618389520298, 141.25763773504042, 998.0680511901267, 88.96111274282836, 131.27448267605467, 196.35332202572542, 63.657368381112356, 58.100728119799825, 818.3595663049074, 910.4545383236834, 173.11410173656193, 517.355465521104] is: | NaN | angle_btw_vectors |
| 71 | Absolute difference between two numbers | Absolute difference between numbers 95 and 92 = | 3 | absolute_difference |
| 72 | Dot Product of 2 Vectors | [-4, 20, 2] . [8, -14, -14] = | -340 | vector_dot |
| 73 | Binary 2's Complement | 2's complement of 111101001 = | 10111 | binary_2s_complement |
| 74 | Inverse of a Matrix | Inverse of Matrix Matrix([[65, 7, 75], [69, 31, 73], [67, 15, 8]]) is: | Matrix([[847/102832, -1069/102832, 907/51416], [-4339/102832, 4505/102832, -215/51416], [521/51416, 253/51416, -383/25708]]) | invert_matrix |
| 75 | Area of a Sector | Given radius, 20 and angle, 72. Find the area of the sector. | Area of sector = 251.32741 | sector_area |
| 76 | Mean and Median | Given the series of numbers [59, 80, 5, 46, 57, 30, 13, 3, 54, 48]. find the arithmatic mean and mdian of the series | Arithmetic mean of the series is 39.5 and Arithmetic median of this series is 47.0 | mean_median |
| 77 | Determinant to 2x2 Matrix | Det([[17, 94], [26, 42]]) = | -1730 | int_matrix_22_determinant |
| 78 | Compound Interest | Compound Interest for a principle amount of 1069 dollars, 8% rate of interest and for a time period of 3 compounded monthly is = | 1069.0 | compound_interest |
| 79 | Decimal to Hexadecimal | Binary of 175= | 0xaf | decimal_to_hexadeci |
| 80 | Percentage of a number | What is 30% of 26? | Required percentage = 7.80% | percentage |
| 81 | Celsius To Fahrenheit | Convert 51 degrees Celsius to degrees Fahrenheit = | 123.8 | celsius_to_fahrenheit |
| 82 | AP Term Calculation | Find the term number 13 of the AP series: -56, -129, -202 ... | -932 | arithmetic_progression_term |
| 83 | AP Sum Calculation | Find the sum of first 93 terms of the AP series: -27, -72, -117 ... | -195021.0 | arithmetic_progression_sum |
| 84 | Converts decimal to octal | The decimal number 1871 in Octal is: | 0o3517 | decimal_to_octal |
| 85 | Converts decimal to Roman Numerals | The number 3868 in Roman Numerals is: | MMMDCCCLXVIII | decimal_to_roman_numerals |
| 86 | Degrees to Radians | Angle 99 in radians is = | 1.73 | degree_to_rad |
| 87 | Radians to Degrees | Angle 2 in degrees is = | 114.59 | radian_to_deg |
| 88 | Differentiation | differentiate w.r.t x : d(exp(x)+4*x^(-3))/dx | exp(x) - 12/x^4 | differentiation |