# 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 | 14+24= | 38 | addition |
| 1 | Subtraction | 71-17= | 54 | subtraction |
| 2 | Multiplication | 71*1= | 71 | multiplication |
| 3 | Division | 98/53= | 1.849056603773585 | division |
| 4 | Binary Complement 1s | 000001000= | 111110111 | binary_complement_1s |
| 5 | Modulo Division | 19%62= | 19 | modulo_division |
| 6 | Square Root | sqrt(25)= | 5 | square_root |
| 7 | Power Rule Differentiation | 6x^9 + 5x^2 + 1x^7 + 5x^7 | 54x^8 + 10x^1 + 7x^6 + 35x^6 | power_rule_differentiation |
| 8 | Square | 10^2= | 100 | square |
| 9 | LCM (Least Common Multiple) | LCM of 2 and 12 = | 12 | lcm |
| 10 | GCD (Greatest Common Denominator) | GCD of 2 and 14 = | 2 | gcd |
| 11 | Basic Algebra | 2x + 9 = 9 | 0 | basic_algebra |
| 12 | Logarithm | log3(3) | 1 | log |
| 13 | Easy Division | 204/17 = | 12 | int_division |
| 14 | Decimal to Binary | Binary of 61= | 111101 | decimal_to_binary |
| 15 | Binary to Decimal | 10101 | 21 | binary_to_decimal |
| 16 | Fraction Division | (8/2)/(5/3) | 12/5 | divide_fractions |
| 17 | Integer Multiplication with 2x2 Matrix | 3 * [[10, 1], [1, 1]] = | [[30,3],[3,3]] | multiply_int_to_22_matrix |
| 18 | Area of Triangle | Area of triangle with side lengths: 4 10 16 = | (1.7587650643960612e-15+28.722813232690143j) | area_of_triangle |
| 19 | Triangle exists check | Does triangle with sides 8, 29 and 19 exist? | No | valid_triangle |
| 20 | Midpoint of the two point | (-16,7),(11,-1)= | (-2.5,3.0) | midpoint_of_two_points |
| 21 | Factoring Quadratic | x^2+18x+80 | (x+10)(x+8) | factoring |
| 22 | Third Angle of Triangle | Third angle of triangle with angles 75 and 36 = | 69 | third_angle_of_triangle |
| 23 | Solve a System of Equations in R^2 | 6x + y = 25, 6x - 7y = -31 | x = 3, y = 7 | system_of_equations |
| 24 | Distance between 2 points | Find the distance between (-18, 12) and (5, 9) | sqrt(538) | distance_two_points |
| 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 9 and 15 = | 17.49 | pythagorean_theorem |
| 26 | Linear Equations | -8x + 2y = 12, 1x + 11y = -24 | x = -2, y = -2 | linear_equations |
| 27 | Prime Factorisation | Find prime factors of 103 | [103] | prime_factors |
| 28 | Fraction Multiplication | (5/9)*(3/5) | 1/3 | fraction_multiplication |
| 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 17 sides | 158.82 | angle_regular_polygon |
| 30 | Combinations of Objects | Number of combinations from 13 objects picked 7 at a time | 1716 | combinations |
| 31 | Factorial | 4! = | 24 | factorial |
| 32 | Surface Area of Cube | Surface area of cube with side = 9m is | 486 m^2 | surface_area_cube |
| 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 2m, 16m, 11m is | 460 m^2 | surface_area_cuboid |
| 34 | Surface Area of Cylinder | Surface area of cylinder with height = 5m and radius = 14m is | 1671 m^2 | surface_area_cylinder |
| 35 | Volum of Cube | Volume of cube with side = 17m is | 4913 m^3 | volume_cube |
| 36 | Volume of Cuboid | Volume of cuboid with sides = 18m, 5m, 19m is | 1710 m^3 | volume_cuboid |
| 37 | Volume of cylinder | Volume of cylinder with height = 40m and radius = 4m is | 2010 m^3 | volume_cylinder |
| 38 | Surface Area of cone | Surface area of cone with height = 28m and radius = 17m is | 2657 m^2 | surface_area_cone |
| 39 | Volume of cone | Volume of cone with height = 45m and radius = 8m is | 3015 m^3 | volume_cone |
| 40 | Common Factors | Common Factors of 83 and 21 = | [1] | common_factors |
| 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = 0/5x + 1 and y = 5/5x - 5 | (6, 1) | intersection_of_two_lines |
| 42 | Permutations | Number of Permutations from 10 objects picked 8 at a time = | 1814400 | permutation |
| 43 | Cross Product of 2 Vectors | [-14, -20, 15] X [12, -11, 11] = | [-55, 334, 394] | vector_cross |
| 44 | Compare Fractions | Which symbol represents the comparison between 7/5 and 5/8? | > | compare_fractions |
| 45 | Simple Interest | Simple interest for a principle amount of 9940 dollars, 6% rate of interest and for a time period of 5 years is = | 2982.0 | simple_interest |
| 46 | Multiplication of two matrices | Multiplyand | | matrix_multiplication |
| 47 | Cube Root | cuberoot of 25 upto 2 decimal places is: | 2.92 | cube_root |
| 48 | Power Rule Integration | 2x^4 + 9x^10 + 7x^1 + 5x^10 + 3x^7 | (2/4)x^5 + (9/10)x^11 + (7/1)x^2 + (5/10)x^11 + (3/7)x^8 + c | power_rule_integration |
| 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 61 , 128, 38 = | 133 | fourth_angle_of_quadrilateral |
| 50 | Quadratic Equation | Zeros of the Quadratic Equation 22x^2+199x+24=0 | [-0.12, -8.92] | quadratic_equation |
| 51 | HCF (Highest Common Factor) | HCF of 1 and 1 = | 1 | 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 6 = | 1/6 | dice_sum_probability |
| 53 | Exponentiation | 2^10 = | 1024 | exponentiation |
| 54 | Confidence interval For sample S | The confidence interval for sample [200, 254, 212, 257, 239, 235, 250, 203, 227, 281, 275, 291, 224, 216, 249, 293, 266, 264, 278, 265] with 80% confidence is | (256.9254800588742, 240.97451994112578) | confidence_interval |
| 55 | Comparing surds | Fill in the blanks 59^(1/6) _ 50^(1/8) | > | surds_comparison |
| 56 | Fibonacci Series | The Fibonacci Series of the first 3 numbers is ? | [0, 1, 1] | fibonacci_series |
| 57 | Trigonometric Values | What is tan(45)? | 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[28, 23, 25, 46, 36, 42, 48, 40, 23, 21, 32, 25, 41, 43, 35] | The Mean is 33.86666666666667 , Standard Deviation is 79.18222222222222, Variance is 8.898439313847245 | data_summary |
| 60 | Surface Area of Sphere | Surface area of Sphere with radius = 19m is | 4536.459791783661 m^2 | surface_area_sphere |
| 61 | Volume of Sphere | Volume of sphere with radius 51 m = | 555647.2094551196 m^3 | volume_sphere |
| 62 | nth Fibonacci number | What is the 55th Fibonacci number? | 139583862445 | nth_fibonacci_number |
| 63 | Profit or Loss Percent | Profit percent when CP = 777 and SP = 861 is: | 10.81081081081081 | profit_loss_percent |
| 64 | Binary to Hexidecimal | 001 | 0x1 | binary_to_hex |
| 65 | Multiplication of 2 complex numbers | (16-6j) * (2+2j) = | (44+20j) | multiply_complex_numbers |
| 66 | Geometric Progression | For the given GP [4, 32, 256, 2048, 16384, 131072] ,Find the value of a,common ratio,6th term value, sum upto 7th term | The value of a is 4, common ratio is 8 , 6th term is 131072 , sum upto 7th term is 1198372.0 | geometric_progression |
| 67 | Geometric Mean of N Numbers | Geometric mean of 4 numbers 45 , 3 , 1 , 97 = | (45*3*1*97)^(1/4) = 10.69735419328368 | geometric_mean |
| 68 | Harmonic Mean of N Numbers | Harmonic mean of 4 numbers 45 , 38 , 75 , 60 = | 4/((1/45) + (1/38) + (1/75) + (1/60)) = 50.9307520476545 | harmonic_mean |
| 69 | Euclidian norm or L2 norm of a vector | Euclidian norm or L2 norm of the vector[591.4087216014599, 881.9117537447569, 886.791583815644, 686.4762274423125, 908.6374557556007, 623.6706969012301, 457.24550363026395] is: | 1951.6255163618057 | euclidian_norm |
| 70 | Angle between 2 vectors | angle between the vectors [441.74, 751.22, 829.23] and [983.73, 131.61, 537.34] is: | 0.77 radians | angle_btw_vectors |
| 71 | Absolute difference between two numbers | Absolute difference between numbers -72 and 18 = | 90 | absolute_difference |
| 72 | Dot Product of 2 Vectors | [-19, 18, 12] . [18, -13, -17] = | -780 | vector_dot |
| 73 | Binary 2's Complement | 2's complement of 1001000001 = | 110111111 | binary_2s_complement |
| 74 | Inverse of a Matrix | Inverse of Matrix Matrix([[61, 3, 14], [4, 5, 7], [13, 8, 95]]) is: | Matrix([[419/24230, -173/24230, -49/24230], [-289/24230, 5613/24230, -371/24230], [-33/24230, -449/24230, 293/24230]]) | invert_matrix |
| 75 | Area of a Sector | Given radius, 39 and angle, 161. Find the area of the sector. | Area of sector = 2136.98986 | sector_area |
| 76 | Mean and Median | Given the series of numbers [52, 72, 62, 2, 15, 95, 33, 55, 66, 32]. find the arithmatic mean and mdian of the series | Arithmetic mean of the series is 48.4 and Arithmetic median of this series is 53.5 | mean_median |
| 77 | Determinant to 2x2 Matrix | Det([[16, 57], [90, 67]]) = | -4058 | int_matrix_22_determinant |
| 78 | Compound Interest | Compound interest for a principle amount of 3519 dollars, 2% rate of interest and for a time period of 4 year is = | 3809.08 | compound_interest |
| 79 | Decimal to Hexadecimal | Binary of 593= | 0x251 | decimal_to_hexadeci |
| 80 | Percentage of a number | What is 11% of 83? | Required percentage = 9.13% | percentage |
| 81 | Celsius To Fahrenheit | Convert -3 degrees Celsius to degrees Fahrenheit = | 26.6 | celsius_to_fahrenheit |
| 82 | AP Term Calculation | Find the term number 87 of the AP series: -37, 4, 45 ... | 3489 | arithmetic_progression_term |
| 83 | AP Sum Calculation | Find the sum of first 91 terms of the AP series: 62, 29, -4 ... | -129493.0 | arithmetic_progression_sum |
| 84 | Converts decimal to octal | The decimal number 432 in Octal is: | 0o660 | decimal_to_octal |
| 85 | Converts decimal to Roman Numerals | The number 2876 in Roman Numerals is: | MMDCCCLXXVI | decimal_to_roman_numerals |
| 86 | Degrees to Radians | Angle 307 in radians is = | 5.36 | 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(sin(x)+2*x^(-4))/dx | cos(x) - 8/x^5 | differentiation |
| 89 | Definite Integral of Quadratic Equation | The definite integral within limits 0 to 1 of the equation 24x^2 + 30x + 41 is = | 64.0 | definite_integral |
| 90 | isprime | 10 | False | is_prime |
| 91 | Binary Coded Decimal to Integer | Integer of Binary Coded Decimal 1 is = | 4436 | bcd_to_decimal |
| 92 | Complex To Polar Form | rexp(itheta) = | 18.0exp(i1.57) | complex_to_polar |
| 93 | Union,Intersection,Difference of Two Sets | Given the two sets a={9, 2, 3} ,b={1, 2, 5, 7, 8, 9}.Find the Union,intersection,a-b,b-a and symmetric difference | Union is {1, 2, 3, 5, 7, 8, 9},Intersection is {9, 2}, a-b is {3},b-a is {8, 1, 5, 7}, Symmetric difference is {1, 3, 5, 7, 8} | set_operation |
| 94 | Base Conversion | Convert 23750 from base 10 to base 16. | 5CC6 | base_conversion |
| 95 | Curved surface area of a cylinder | What is the curved surface area of a cylinder of radius, 36 and height, 11? | CSA of cylinder = 2488.14 | curved_surface_area_cylinder |
| 96 | Perimeter of Polygons | The perimeter of a 12 sided polygon with lengths of [18, 104, 35, 2, 48, 4, 80, 48, 114, 28, 30, 18]cm is: | 529 | perimeter_of_polygons |
| 97 | Power of Powers | The 21^7^10 = 21^(7*10) = 21^70 | 359211830356099179055407266181227770855602632046883281967355597156308256906315688053426887401 | power_of_powers |
| 98 | Quotient of Powers with Same Base | The Quotient of 20^7 and 20^8 = 20^(7-8) = 20^-1 | 0.05 | quotient_of_power_same_base |
| 99 | Quotient of Powers with Same Power | The Quotient of 8^5 and 29^5 = (8/29)^5 = 0.27586206896551724^5 | 0.0015975701800030801 | quotient_of_power_same_power |
| 100 | complex Quadratic Equation | Find the roots of given Quadratic Equation x^2 + 7x + 9 = 0 | simplified solution : ((-1.697, -5.303)), generalized solution : ((-7 + sqrt(13))/2*1, (-7 - sqrt(13))/2*1) | complex_quadratic |
| 101 | Leap Year or Not | Year 1916 | is a leap year | is_leap_year |
| 102 | Minute to Hour conversion | Convert 913 minutes to Hours & Minutes | 15 hours and 13 minutes | minutes_to_hours |
| 103 | Decimal to Binary Coded Decimal | BCD of Decimal Number 3865 is = | 1519 | decimal_to_bcd |
| 104 | Circumference | Circumference of circle with radius 41 | 257.610597594363 | circumference |
| 105 | Combine Like terms | 5x^1 + 5x^1 | 10x^1 | combine_like_terms |
| 106 | signum function | signum of -580 is = | -1 | signum_function |
| 107 | Conditional Probability | Someone tested positive for a nasty disease which only 1.53% of population have. Test sensitivity (true positive) is equal to SN= 90.63% whereas test specificity (true negative) SP= 95.99%. What is the probability that this guy really has that disease? | 25.99% | conditional_probability |
| 108 | Arc length of Angle | Given radius, 4 and angle, 18. Find the arc length of the angle. | Arc length of the angle = 1.25664 | arc_length |