# 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 | 43+23= | 66 | addition |
| 1 | Subtraction | 84-10= | 74 | subtraction |
| 2 | Multiplication | 6*2= | 12 | multiplication |
| 3 | Division | 87/23= | 3.782608695652174 | division |
| 4 | Binary Complement 1s | 1011= | 0100 | binary_complement_1s |
| 5 | Modulo Division | 68%0= | 0 | modulo_division |
| 6 | Square Root | sqrt(81)= | 9 | square_root |
| 7 | Power Rule Differentiation | 7x^1 + 9x^10 + 4x^3 + 7x^6 | 7x^0 + 90x^9 + 12x^2 + 42x^5 | power_rule_differentiation |
| 8 | Square | 19^2= | 361 | square |
| 9 | LCM (Least Common Multiple) | LCM of 9 and 6 = | 18 | lcm |
| 10 | GCD (Greatest Common Denominator) | GCD of 19 and 12 = | 1 | gcd |
| 11 | Basic Algebra | 2x + 1 = 10 | 9/2 | basic_algebra |
| 12 | Logarithm | log2(128) | 7 | log |
| 13 | Easy Division | 50/2 = | 25 | int_division |
| 14 | Decimal to Binary | Binary of 59= | 111011 | decimal_to_binary |
| 15 | Binary to Decimal | 10011 | 19 | binary_to_decimal |
| 16 | Fraction Division | (6/5)/(7/1) | 6/35 | divide_fractions |
| 17 | Integer Multiplication with 2x2 Matrix | 1 * [[7, 7], [4, 5]] = | [[7,7],[4,5]] | multiply_int_to_22_matrix |
| 18 | Area of Triangle | Area of triangle with side lengths: 19 6 19 = | 56.28498911788115 | area_of_triangle |
| 19 | Triangle exists check | Does triangle with sides 29, 34 and 13 exist? | Yes | valid_triangle |
| 20 | Midpoint of the two point | (-8,2),(5,-17)= | (-1.5,-7.5) | midpoint_of_two_points |
| 21 | Factoring Quadratic | x^2+8x | (x+8)(x) | factoring |
| 22 | Third Angle of Triangle | Third angle of triangle with angles 64 and 78 = | 38 | third_angle_of_triangle |
| 23 | Solve a System of Equations in R^2 | 8x - 3y = -63, 9x + 10y = -111 | x = -9, y = -3 | system_of_equations |
| 24 | Distance between 2 points | Find the distance between (-12, -3) and (10, -9) | sqrt(520) | distance_two_points |
| 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 11 and 18 = | 21.10 | pythagorean_theorem |
| 26 | Linear Equations | 20x + 2y = -42-8x + 7y = 165 | x = -4, y = 19 | linear_equations |
| 27 | Prime Factorisation | Find prime factors of 62 | [2, 31] | prime_factors |
| 28 | Fraction Multiplication | (9/8)*(4/7) | 9/14 | fraction_multiplication |
| 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 7 sides | 128.57 | angle_regular_polygon |
| 30 | Combinations of Objects | Number of combinations from 14 objects picked 7 at a time | 3432 | combinations |
| 31 | Factorial | 6! = | 720 | 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 = 11m, 12m, 5m is | 494 m^2 | surface_area_cuboid |
| 34 | Surface Area of Cylinder | Surface area of cylinder with height = 9m and radius = 10m is | 1193 m^2 | surface_area_cylinder |
| 35 | Volum of Cube | Volume of cube with side = 20m is | 8000 m^3 | volume_cube |
| 36 | Volume of Cuboid | Volume of cuboid with sides = 19m, 9m, 14m is | 2394 m^3 | volume_cuboid |
| 37 | Volume of cylinder | Volume of cylinder with height = 15m and radius = 1m is | 47 m^3 | volume_cylinder |
| 38 | Surface Area of cone | Surface area of cone with height = 35m and radius = 11m is | 1647 m^2 | surface_area_cone |
| 39 | Volume of cone | Volume of cone with height = 15m and radius = 8m is | 1005 m^3 | volume_cone |
| 40 | Common Factors | Common Factors of 74 and 18 = | [1, 2] | common_factors |
| 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = 5x + 8 and y = -5/5x + 10 | (1/3, 29/3) | intersection_of_two_lines |
| 42 | Permutations | Number of Permutations from 15 objects picked 6 at a time = | 3603600 | permutation |
| 43 | Cross Product of 2 Vectors | [7, -11, -16] X [2, -2, 11] = | [-153, -109, 8] | vector_cross |
| 44 | Compare Fractions | Which symbol represents the comparison between 2/9 and 3/9? | < | compare_fractions |
| 45 | Simple Interest | Simple interest for a principle amount of 7140 dollars, 8% rate of interest and for a time period of 10 years is = | 5712.0 | simple_interest |
| 46 | Multiplication of two matrices | Multiplyand | | matrix_multiplication |
| 47 | Cube Root | cuberoot of 417 upto 2 decimal places is: | 7.47 | cube_root |
| 48 | Power Rule Integration | 10x^10 | (10/10)x^11 + c | power_rule_integration |
| 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 170 , 23, 98 = | 69 | fourth_angle_of_quadrilateral |
| 50 | Quadratic Equation | Zeros of the Quadratic Equation 45x^2+157x+48=0 | [-0.34, -3.15] | quadratic_equation |
| 51 | HCF (Highest Common Factor) | HCF of 12 and 16 = | 4 | hcf |
| 52 | Probability of a certain sum appearing on faces of dice | If 3 dice are rolled at the same time, the probability of getting a sum of 12 = | 25/216 | dice_sum_probability |
| 53 | Exponentiation | 13^3 = | 2197 | exponentiation |
| 54 | Confidence interval For sample S | The confidence interval for sample [203, 218, 249, 286, 283, 204, 214, 252, 292, 291, 270, 256, 248, 227, 207, 264, 260, 261, 245, 294, 281, 233, 244, 240, 255, 210, 250, 216, 222, 293, 287, 237, 257, 274, 205] with 90% confidence is | (257.3268184855506, 241.41603865730656) | confidence_interval |
| 55 | Comparing surds | Fill in the blanks 89^(1/4) _ 49^(1/2) | < | surds_comparison |
| 56 | Fibonacci Series | The Fibonacci Series of the first 11 numbers is ? | [0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55] | fibonacci_series |
| 57 | Trigonometric Values | What is cos(0)? | 1 | basic_trigonometry |
| 58 | Sum of Angles of Polygon | Sum of angles of polygon with 5 sides = | 540 | sum_of_polygon_angles |
| 59 | Mean,Standard Deviation,Variance | Find the mean,standard deviation and variance for the data[31, 28, 42, 17, 18, 27, 29, 38, 37, 34, 20, 46, 40, 13, 9] | The Mean is 28.6 , Standard Deviation is 117.17333333333335, Variance is 10.824663197223892 | data_summary |
| 60 | Surface Area of Sphere | Surface area of Sphere with radius = 9m is | 1017.8760197630929 m^2 | surface_area_sphere |
| 61 | Volume of Sphere | Volume of sphere with radius 45 m = | 381703.5074111598 m^3 | volume_sphere |
| 62 | nth Fibonacci number | What is the 89th Fibonacci number? | 1779979416004719360 | nth_fibonacci_number |
| 63 | Profit or Loss Percent | Profit percent when CP = 611 and SP = 934 is: | 52.864157119476275 | profit_loss_percent |
| 64 | Binary to Hexidecimal | 1 | 0x1 | binary_to_hex |
| 65 | Multiplication of 2 complex numbers | (-7+0j) * (1+18j) = | (-7-126j) | multiply_complex_numbers |
| 66 | Geometric Progression | For the given GP [3, 36, 432, 5184, 62208, 746496] ,Find the value of a,common ratio,11th term value, sum upto 8th term | The value of a is 3, common ratio is 12 , 11th term is 185752092672 , sum upto 8th term is 117267735.0 | geometric_progression |
| 67 | Geometric Mean of N Numbers | Geometric mean of 4 numbers 69 , 84 , 53 , 42 = | (69*84*53*42)^(1/4) = 59.93263663932908 | geometric_mean |
| 68 | Harmonic Mean of N Numbers | Harmonic mean of 4 numbers 38 , 26 , 56 , 54 = | 4/((1/38) + (1/26) + (1/56) + (1/54)) = 39.54406120126003 | harmonic_mean |
| 69 | Euclidian norm or L2 norm of a vector | Euclidian norm or L2 norm of the vector[404.01048129643635, 493.0541616029289, 462.1933998344141, 423.5178469230799] is: | 894.045290119131 | euclidian_norm |
| 70 | Angle between 2 vectors | angle between the vectors [754.1998988977049, 801.3293889971126, 64.28064667477207, 995.3287765441996, 264.0816063333957, 611.5398134986185, 856.5578548001416, 50.735010026939364, 572.2950776638381, 930.5293279220055, 524.3714207350181, 735.6775022444679, 438.8794763353797, 344.63393543289243] and [657.7394862034466, 411.3411278292859, 992.683482628856, 378.5934722176586, 591.4194475121323, 126.57656661119732, 568.2839501217117, 5.58456959028919, 65.00223534144212, 583.768000413094, 930.1126329066044, 899.527968007742, 902.085497788947, 59.26218061705124] is: | NaN | angle_btw_vectors |
| 71 | Absolute difference between two numbers | Absolute difference between numbers -73 and 34 = | 107 | absolute_difference |
| 72 | Dot Product of 2 Vectors | [20, 8, -17] . [18, 18, 17] = | 215 | vector_dot |
| 73 | Binary 2's Complement | 2's complement of 10 = | 10 | binary_2s_complement |
| 74 | Inverse of a Matrix | Inverse of Matrix Matrix([[3, 21, 81], [28, 53, 11], [42, 89, 63]]) is: | Matrix([[590/321, 981/214, -677/214], [-217/214, -1071/428, 745/428], [133/642, 205/428, -143/428]]) | invert_matrix |
| 75 | Area of a Sector | Given radius, 15 and angle, 45. Find the area of the sector. | Area of sector = 88.35729 | sector_area |
| 76 | Mean and Median | Given the series of numbers [96, 21, 61, 79, 63, 59, 56, 85, 77, 8]. find the arithmatic mean and mdian of the series | Arithmetic mean of the series is 60.5 and Arithmetic median of this series is 62.0 | mean_median |
| 77 | Determinant to 2x2 Matrix | Det([[79, 23], [15, 44]]) = | 3131 | int_matrix_22_determinant |
| 78 | Compound Interest | Compound Interest for a principle amount of 2943 dollars, 1% rate of interest and for a time period of 3 compounded monthly is = | 2943.0 | compound_interest |
| 79 | Decimal to Hexadecimal | Binary of 937= | 0x3a9 | decimal_to_hexadeci |
| 80 | Percentage of a number | What is 41% of 75? | Required percentage = 30.75% | percentage |
| 81 | Celsius To Fahrenheit | Convert -40 degrees Celsius to degrees Fahrenheit = | -40.0 | celsius_to_fahrenheit |
| 82 | AP Term Calculation | Find the term number 52 of the AP series: 50, -43, -136 ... | -4693 | arithmetic_progression_term |
| 83 | AP Sum Calculation | Find the sum of first 67 terms of the AP series: -45, -87, -129 ... | -95877.0 | arithmetic_progression_sum |
| 84 | Converts decimal to octal | The decimal number 200 in Octal is: | 0o310 | decimal_to_octal |
| 85 | Converts decimal to Roman Numerals | The number 1225 in Roman Numerals is: | MCCXXV | decimal_to_roman_numerals |
| 86 | Degrees to Radians | Angle 263 in radians is = | 4.59 | 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(cot(x)+9*x^3)/dx | 27*x^2 - cot(x)^2 - 1 | differentiation |