# 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 | 20+9= | 29 | addition |
| 1 | Subtraction | 52-50= | 2 | subtraction |
| 2 | Multiplication | 53*1= | 53 | multiplication |
| 3 | Division | 35/79= | 0.4430379746835443 | division |
| 4 | Binary Complement 1s | 011011= | 100100 | binary_complement_1s |
| 5 | Modulo Division | 27%39= | 27 | modulo_division |
| 6 | Square Root | sqrt(16)= | 4 | square_root |
| 7 | Power Rule Differentiation | 7x^5 | 35x^4 | power_rule_differentiation |
| 8 | Square | 10^2= | 100 | square |
| 9 | LCM (Least Common Multiple) | LCM of 14 and 14 = | 14 | lcm |
| 10 | GCD (Greatest Common Denominator) | GCD of 17 and 7 = | 1 | gcd |
| 11 | Basic Algebra | 6x + 5 = 5 | 0 | basic_algebra |
| 12 | Logarithm | log2(64) | 6 | log |
| 13 | Easy Division | 252/12 = | 21 | int_division |
| 14 | Decimal to Binary | Binary of 19= | 10011 | decimal_to_binary |
| 15 | Binary to Decimal | 1000010100 | 532 | binary_to_decimal |
| 16 | Fraction Division | (10/9)/(10/8) | 8/9 | divide_fractions |
| 17 | Integer Multiplication with 2x2 Matrix | 15 * [[5, 3], [3, 2]] = | [[75,45],[45,30]] | multiply_int_to_22_matrix |
| 18 | Area of Triangle | Area of triangle with side lengths: 3 17 2 = | (4.221036154550547e-15+68.93475175845634j) | area_of_triangle |
| 19 | Triangle exists check | Does triangle with sides 24, 20 and 17 exist? | Yes | valid_triangle |
| 20 | Midpoint of the two point | (4,-10),(2,4)= | (3.0,-3.0) | midpoint_of_two_points |
| 21 | Factoring Quadratic | x^2-3x-54 | (x+6)(x-9) | factoring |
| 22 | Third Angle of Triangle | Third angle of triangle with angles 6 and 29 = | 145 | third_angle_of_triangle |
| 23 | Solve a System of Equations in R^2 | - 5y = -20, 3x + 9y = 9 | x = -9, y = 4 | system_of_equations |
| 24 | Distance between 2 points | Find the distance between (-2, -4) and (21, -13) | sqrt(610) | distance_two_points |
| 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 16 and 11 = | 19.42 | pythagorean_theorem |
| 26 | Linear Equations | 11x + 4y = -72, 17x + -18y = -208 | x = -8, y = 4 | linear_equations |
| 27 | Prime Factorisation | Find prime factors of 88 | [2, 2, 2, 11] | prime_factors |
| 28 | Fraction Multiplication | (7/3)*(2/10) | 7/15 | fraction_multiplication |
| 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 9 sides | 140.0 | angle_regular_polygon |
| 30 | Combinations of Objects | Number of combinations from 16 objects picked 6 at a time | 8008 | combinations |
| 31 | Factorial | 2! = | 2 | factorial |
| 32 | Surface Area of Cube | Surface area of cube with side = 3m is | 54 m^2 | surface_area_cube |
| 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 9m, 1m, 14m is | 298 m^2 | surface_area_cuboid |
| 34 | Surface Area of Cylinder | Surface area of cylinder with height = 30m and radius = 3m is | 622 m^2 | surface_area_cylinder |
| 35 | Volum of Cube | Volume of cube with side = 16m is | 4096 m^3 | volume_cube |
| 36 | Volume of Cuboid | Volume of cuboid with sides = 4m, 12m, 11m is | 528 m^3 | volume_cuboid |
| 37 | Volume of cylinder | Volume of cylinder with height = 32m and radius = 17m is | 29053 m^3 | volume_cylinder |
| 38 | Surface Area of cone | Surface area of cone with height = 18m and radius = 16m is | 2014 m^2 | surface_area_cone |
| 39 | Volume of cone | Volume of cone with height = 24m and radius = 6m is | 904 m^3 | volume_cone |
| 40 | Common Factors | Common Factors of 73 and 75 = | [1] | common_factors |
| 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = -10/4x - 6 and y = -2/5x + 2 | (-80/21, 74/21) | intersection_of_two_lines |
| 42 | Permutations | Number of Permutations from 18 objects picked 5 at a time = | 1028160 | permutation |
| 43 | Cross Product of 2 Vectors | [-19, -17, 16] X [-3, -10, 19] = | [-163, 313, 139] | vector_cross |
| 44 | Compare Fractions | Which symbol represents the comparison between 10/8 and 4/7? | > | compare_fractions |
| 45 | Simple Interest | Simple interest for a principle amount of 8277 dollars, 8% rate of interest and for a time period of 8 years is = | 5297.28 | simple_interest |
| 46 | Multiplication of two matrices | Multiplyand | | matrix_multiplication |
| 47 | Cube Root | cuberoot of 725 upto 2 decimal places is: | 8.98 | cube_root |
| 48 | Power Rule Integration | 6x^8 + 10x^3 + 2x^8 + 8x^8 + 6x^9 | (6/8)x^9 + (10/3)x^4 + (2/8)x^9 + (8/8)x^9 + (6/9)x^10 + c | power_rule_integration |
| 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 34 , 200, 57 = | 69 | fourth_angle_of_quadrilateral |
| 50 | Quadratic Equation | Zeros of the Quadratic Equation 28x^2+105x+65=0 | [-0.78, -2.97] | quadratic_equation |
| 51 | HCF (Highest Common Factor) | HCF of 14 and 7 = | 7 | hcf |
| 52 | Probability of a certain sum appearing on faces of dice | If 1 dice are rolled at the same time, the probability of getting a sum of 3 = | 1/6 | dice_sum_probability |
| 53 | Exponentiation | 2^2 = | 4 | exponentiation |
| 54 | Confidence interval For sample S | The confidence interval for sample [271, 209, 205, 219, 291, 221, 226, 217, 230, 272, 276, 293, 237, 252, 283, 253, 266, 240, 234, 207, 279] with 80% confidence is | (254.68568495447266, 238.74288647409878) | confidence_interval |
| 55 | Comparing surds | Fill in the blanks 8^(1/2) _ 55^(1/6) | > | surds_comparison |
| 56 | Fibonacci Series | The Fibonacci Series of the first 19 numbers is ? | [0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584] | fibonacci_series |
| 57 | Trigonometric Values | What is cos(45)? | 1/√2 | basic_trigonometry |
| 58 | Sum of Angles of Polygon | Sum of angles of polygon with 6 sides = | 720 | sum_of_polygon_angles |
| 59 | Mean,Standard Deviation,Variance | Find the mean,standard deviation and variance for the data[25, 45, 11, 49, 43, 21, 18, 22, 46, 41, 48, 45, 47, 46, 22] | The Mean is 35.266666666666666 , Standard Deviation is 169.9288888888889, Variance is 13.035677538543553 | data_summary |
| 60 | Surface Area of Sphere | Surface area of Sphere with radius = 20m is | 5026.548245743669 m^2 | surface_area_sphere |
| 61 | Volume of Sphere | Volume of sphere with radius 6 m = | 904.7786842338604 m^3 | volume_sphere |
| 62 | nth Fibonacci number | What is the 98th Fibonacci number? | 135301852344707186688 | nth_fibonacci_number |
| 63 | Profit or Loss Percent | Profit percent when CP = 88 and SP = 155 is: | 76.13636363636364 | profit_loss_percent |
| 64 | Binary to Hexidecimal | 0111100 | 0x3c | binary_to_hex |
| 65 | Multiplication of 2 complex numbers | (6+15j) * (-11+14j) = | (-276-81j) | multiply_complex_numbers |
| 66 | Geometric Progression | For the given GP [4, 8, 16, 32, 64, 128] ,Find the value of a,common ratio,10th term value, sum upto 7th term | The value of a is 4, common ratio is 2 , 10th term is 2048 , sum upto 7th term is 508.0 | geometric_progression |
| 67 | Geometric Mean of N Numbers | Geometric mean of 2 numbers 15 and 89 = | (15*89)^(1/2) = 36.53765181289022 | geometric_mean |
| 68 | Harmonic Mean of N Numbers | Harmonic mean of 4 numbers 57 , 38 , 60 , 25 = | 4/((1/57) + (1/38) + (1/60) + (1/25)) = 39.79057591623037 | harmonic_mean |
| 69 | Euclidian norm or L2 norm of a vector | Euclidian norm or L2 norm of the vector[987.2988424731678, 717.1306649026507, 239.90848831697863, 979.8627407501484, 102.29066104606976, 458.7906478877879, 275.5546983244834, 225.6916602424589, 26.12527792643693, 366.7028959774343, 752.5264100654856] is: | 1885.7336411802055 | euclidian_norm |
| 70 | Angle between 2 vectors | angle between the vectors [204.34, 989.9, 769.23, 587.22, 313.6, 598.75, 907.67, 221.31, 7.76, 716.11, 697.58, 26.04, 416.61, 562.5, 818.67, 197.06, 492.85, 507.85, 609.86, 475.4] and [877.86, 605.89, 409.16, 650.41, 32.59, 244.04, 903.77, 499.35, 438.81, 709.82, 656.49, 745.17, 497.04, 832.24, 195.85, 37.89, 851.83, 608.87, 119.84, 17.96] is: | 0.66 radians | angle_btw_vectors |
| 71 | Absolute difference between two numbers | Absolute difference between numbers -40 and -6 = | 34 | absolute_difference |
| 72 | Dot Product of 2 Vectors | [-17, 12, 6] . [-2, -9, 9] = | -20 | vector_dot |
| 73 | Binary 2's Complement | 2's complement of 10100110 = | 1011010 | binary_2s_complement |
| 74 | Inverse of a Matrix | Inverse of Matrix Matrix([[54, 47, 44], [59, 41, 7], [86, 33, 5]]) is: | Matrix([[26/56451, -1217/56451, 1475/56451], [-307/56451, 3514/56451, -2218/56451], [1579/56451, -2260/56451, 559/56451]]) | invert_matrix |
| 75 | Area of a Sector | Given radius, 23 and angle, 4. Find the area of the sector. | Area of sector = 18.46558 | sector_area |
| 76 | Mean and Median | Given the series of numbers [19, 93, 45, 37, 39, 8, 48, 44, 12, 10]. find the arithmatic mean and mdian of the series | Arithmetic mean of the series is 35.5 and Arithmetic median of this series is 38.0 | mean_median |
| 77 | Determinant to 2x2 Matrix | Det([[73, 67], [64, 58]]) = | -54 | int_matrix_22_determinant |
| 78 | Compound Interest | Compound interest for a principle amount of 2095 dollars, 6% rate of interest and for a time period of 3 year is = | 2495.18 | compound_interest |
| 79 | Decimal to Hexadecimal | Binary of 494= | 0x1ee | decimal_to_hexadeci |
| 80 | Percentage of a number | What is 14% of 51? | Required percentage = 7.14% | percentage |
| 81 | Celsius To Fahrenheit | Convert -22 degrees Celsius to degrees Fahrenheit = | -7.600000000000001 | celsius_to_fahrenheit |
| 82 | AP Term Calculation | Find the term number 39 of the AP series: -42, -102, -162 ... | -2322 | arithmetic_progression_term |
| 83 | AP Sum Calculation | Find the sum of first 49 terms of the AP series: 18, -50, -118 ... | -79086.0 | arithmetic_progression_sum |
| 84 | Converts decimal to octal | The decimal number 3746 in Octal is: | 0o7242 | decimal_to_octal |
| 85 | Converts decimal to Roman Numerals | The number 2967 in Roman Numerals is: | MMCMLXVII | decimal_to_roman_numerals |
| 86 | Degrees to Radians | Angle 109 in radians is = | 1.9 | degree_to_rad |
| 87 | Radians to Degrees | Angle 3 in degrees is = | 171.89 | radian_to_deg |
| 88 | Differentiation | differentiate w.r.t x : d(sin(x)+9*x^3)/dx | 27*x^2 + cos(x) | differentiation |
| 89 | Definite Integral of Quadratic Equation | The definite integral within limits 0 to 1 of the equation 50x^2 + 38x + 41 is = | 76.6667 | definite_integral |
| 90 | isprime | 11 | True | is_prime |
| 91 | Binary Coded Decimal to Integer | Integer of Binary Coded Decimal 7 is = | 29331 | bcd_to_decimal |
| 92 | Complex To Polar Form | rexp(itheta) = | 14.42exp(i-2.55) | complex_to_polar |
| 93 | Union,Intersection,Difference of Two Sets | Given the two sets a={2, 3, 4, 5, 6, 8, 10} ,b={4, 5, 6, 7}.Find the Union,intersection,a-b,b-a and symmetric difference | Union is {2, 3, 4, 5, 6, 7, 8, 10},Intersection is {4, 5, 6}, a-b is {8, 10, 2, 3},b-a is {7}, Symmetric difference is {2, 3, 7, 8, 10} | set_operation |
| 94 | Base Conversion | Convert 33210 from base 10 to base 11. | 22A51 | base_conversion |
| 95 | Curved surface area of a cylinder | What is the curved surface area of a cylinder of radius, 3 and height, 21? | CSA of cylinder = 395.84 | curved_surface_area_cylinder |
| 96 | Perimeter of Polygons | The perimeter of a 10 sided polygon with lengths of [11, 117, 72, 120, 46, 96, 40, 76, 15, 19]cm is: | 612 | perimeter_of_polygons |
| 97 | Power of Powers | The 41^3^4 = 41^(3*4) = 41^12 | 22563490300366186081 | power_of_powers |
| 98 | Quotient of Powers with Same Base | The Quotient of 19^2 and 19^2 = 19^(2-2) = 19^0 | 1 | quotient_of_power_same_base |
| 99 | Quotient of Powers with Same Power | The Quotient of 29^3 and 22^3 = (29/22)^3 = 1.3181818181818181^3 | 2.2904770848985723 | quotient_of_power_same_power |
| 100 | complex Quadratic Equation | Find the roots of given Quadratic Equation 9x^2 + 9x + 2 = 0 | simplified solution : ((-0.333, -0.667)), generalized solution : ((-9 + 3)/2*9, (-9 - 3)/2*9) | complex_quadratic |