# 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 | 10+48= | 58 | addition |
| 1 | Subtraction | 92-21= | 71 | subtraction |
| 2 | Multiplication | 89*0= | 0 | multiplication |
| 3 | Division | 9/11= | 0.8181818181818182 | division |
| 4 | Binary Complement 1s | 11001= | 00110 | binary_complement_1s |
| 5 | Modulo Division | 45%50= | 45 | modulo_division |
| 6 | Square Root | sqrt(25)= | 5 | square_root |
| 7 | Power Rule Differentiation | 3x^8 + 3x^3 + 8x^4 + 8x^8 + 8x^5 | 24x^7 + 9x^2 + 32x^3 + 64x^7 + 40x^4 | power_rule_differentiation |
| 8 | Square | 3^2= | 9 | square |
| 9 | LCM (Least Common Multiple) | LCM of 13 and 16 = | 208 | lcm |
| 10 | GCD (Greatest Common Denominator) | GCD of 1 and 20 = | 1 | gcd |
| 11 | Basic Algebra | 4x + 2 = 9 | 7/4 | basic_algebra |
| 12 | Logarithm | log2(8) | 3 | log |
| 13 | Easy Division | 10/5 = | 2 | int_division |
| 14 | Decimal to Binary | Binary of 89= | 1011001 | decimal_to_binary |
| 15 | Binary to Decimal | 00011010 | 26 | binary_to_decimal |
| 16 | Fraction Division | (5/9)/(5/1) | 1/9 | divide_fractions |
| 17 | Integer Multiplication with 2x2 Matrix | 9 * [[7, 6], [0, 3]] = | [[63,54],[0,27]] | multiply_int_to_22_matrix |
| 18 | Area of Triangle | Area of triangle with side lengths: 7 6 9 = | 20.97617696340303 | area_of_triangle |
| 19 | Triangle exists check | Does triangle with sides 1, 9 and 28 exist? | No | valid_triangle |
| 20 | Midpoint of the two point | (11,-12),(-16,-17)= | (-2.5,-14.5) | midpoint_of_two_points |
| 21 | Factoring Quadratic | x^2+6x-7 | (x-1)(x+7) | factoring |
| 22 | Third Angle of Triangle | Third angle of triangle with angles 76 and 64 = | 40 | third_angle_of_triangle |
| 23 | Solve a System of Equations in R^2 | -3x - 7y = -56, -8x + 5y = 40 | x = 0, y = 8 | system_of_equations |
| 24 | Distance between 2 points | Find the distance between (-14, 5) and (9, -4) | sqrt(610) | distance_two_points |
| 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 9 and 9 = | 12.73 | pythagorean_theorem |
| 26 | Linear Equations | 15x = -75, 15x + -10y = -35 | x = -5, y = -4 | linear_equations |
| 27 | Prime Factorisation | Find prime factors of 101 | [101] | prime_factors |
| 28 | Fraction Multiplication | (6/2)*(10/4) | 15/2 | fraction_multiplication |
| 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 12 sides | 150.0 | angle_regular_polygon |
| 30 | Combinations of Objects | Number of combinations from 13 objects picked 6 at a time | 1716 | combinations |
| 31 | Factorial | 6! = | 720 | factorial |
| 32 | Surface Area of Cube | Surface area of cube with side = 11m is | 726 m^2 | surface_area_cube |
| 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 18m, 14m, 3m is | 696 m^2 | surface_area_cuboid |
| 34 | Surface Area of Cylinder | Surface area of cylinder with height = 28m and radius = 16m is | 4423 m^2 | surface_area_cylinder |
| 35 | Volum of Cube | Volume of cube with side = 8m is | 512 m^3 | volume_cube |
| 36 | Volume of Cuboid | Volume of cuboid with sides = 17m, 11m, 18m is | 3366 m^3 | volume_cuboid |
| 37 | Volume of cylinder | Volume of cylinder with height = 45m and radius = 7m is | 6927 m^3 | volume_cylinder |
| 38 | Surface Area of cone | Surface area of cone with height = 19m and radius = 8m is | 719 m^2 | surface_area_cone |
| 39 | Volume of cone | Volume of cone with height = 44m and radius = 11m is | 5575 m^3 | volume_cone |
| 40 | Common Factors | Common Factors of 51 and 44 = | [1] | common_factors |
| 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = -7/3x - 5 and y = -1/2x - 8 | (18/11, -97/11) | intersection_of_two_lines |
| 42 | Permutations | Number of Permutations from 14 objects picked 3 at a time = | 2184 | permutation |
| 43 | Cross Product of 2 Vectors | [-12, 13, 1] X [-19, 11, 14] = | [171, 149, 115] | vector_cross |
| 44 | Compare Fractions | Which symbol represents the comparison between 3/8 and 6/9? | < | compare_fractions |
| 45 | Simple Interest | Simple interest for a principle amount of 8192 dollars, 2% rate of interest and for a time period of 2 years is = | 327.68 | simple_interest |
| 46 | Multiplication of two matrices | Multiplyand | | matrix_multiplication |
| 47 | Cube Root | cuberoot of 694 upto 2 decimal places is: | 8.85 | cube_root |
| 48 | Power Rule Integration | 1x^3 + 9x^3 | (1/3)x^4 + (9/3)x^4 + c | power_rule_integration |
| 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 18 , 32, 236 = | 74 | fourth_angle_of_quadrilateral |
| 50 | Quadratic Equation | Zeros of the Quadratic Equation 75x^2+121x+43=0 | [-0.53, -1.08] | quadratic_equation |
| 51 | HCF (Highest Common Factor) | HCF of 19 and 10 = | 1 | 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 9 = | 4/36 | dice_sum_probability |
| 53 | Exponentiation | 2^10 = | 1024 | exponentiation |
| 54 | Confidence interval For sample S | The confidence interval for sample [235, 266, 205, 259, 244, 267, 261, 275, 248, 210, 287, 297, 212, 272, 228, 271, 249, 225, 280, 298, 237] with 90% confidence is | (263.3453075787769, 243.89278765931834) | confidence_interval |
| 55 | Comparing surds | Fill in the blanks 29^(1/8) _ 89^(1/9) | < | surds_comparison |
| 56 | Fibonacci Series | The Fibonacci Series of the first 6 numbers is ? | [0, 1, 1, 2, 3, 5] | fibonacci_series |
| 57 | Trigonometric Values | What is tan(60)? | √3 | basic_trigonometry |
| 58 | Sum of Angles of Polygon | Sum of angles of polygon with 3 sides = | 180 | sum_of_polygon_angles |
| 59 | Mean,Standard Deviation,Variance | Find the mean,standard deviation and variance for the data[27, 39, 33, 10, 44, 14, 37, 17, 40, 35, 19, 11, 17, 6, 13] | The Mean is 24.133333333333333 , Standard Deviation is 152.91555555555553, Variance is 12.365902941376968 | data_summary |
| 60 | Surface Area of Sphere | Surface area of Sphere with radius = 11m is | 1520.5308443374597 m^2 | surface_area_sphere |
| 61 | Volume of Sphere | Volume of sphere with radius 66 m = | 1204260.4287152681 m^3 | volume_sphere |
| 62 | nth Fibonacci number | What is the 69th Fibonacci number? | 117669030460994 | nth_fibonacci_number |
| 63 | Profit or Loss Percent | Profit percent when CP = 652 and SP = 967 is: | 48.31288343558282 | profit_loss_percent |
| 64 | Binary to Hexidecimal | 011011000 | 0xd8 | binary_to_hex |
| 65 | Multiplication of 2 complex numbers | (17+16j) * (-3-3j) = | (-3-99j) | multiply_complex_numbers |
| 66 | Geometric Progression | For the given GP [10, 70, 490, 3430, 24010, 168070] ,Find the value of a,common ratio,9th term value, sum upto 9th term | The value of a is 10, common ratio is 7 , 9th term is 57648010 , sum upto 9th term is 67256010.0 | geometric_progression |
| 67 | Geometric Mean of N Numbers | Geometric mean of 3 numbers 58 , 73 and 52 = | (58*73*52)^(1/3) = 60.383469885511204 | geometric_mean |
| 68 | Harmonic Mean of N Numbers | Harmonic mean of 2 numbers 91 and 18 = | 2/((1/91) + (1/18)) = 30.055045871559635 | harmonic_mean |
| 69 | Euclidian norm or L2 norm of a vector | Euclidian norm or L2 norm of the vector[974.3536143874146, 686.168356481633, 586.22520680975] is: | 1328.1008893926917 | euclidian_norm |
| 70 | Angle between 2 vectors | angle between the vectors [700.08, 521.5, 513.19, 926.02, 781.96, 37.1, 485.31, 966.82, 811.5, 183.45, 703.93, 628.34, 756.44, 387.15, 771.41, 169.39, 48.66, 615.09] and [768.58, 809.43, 824.23, 109.11, 557.91, 3.33, 483.09, 188.14, 557.91, 655.56, 760.95, 864.19, 470.75, 149.17, 541.68, 615.69, 53.59, 859.28] is: | 0.6 radians | angle_btw_vectors |
| 71 | Absolute difference between two numbers | Absolute difference between numbers 15 and -2 = | 17 | absolute_difference |
| 72 | Dot Product of 2 Vectors | [17, -6, 10] . [-15, 17, -2] = | -377 | vector_dot |
| 73 | Binary 2's Complement | 2's complement of 1001 = | 111 | binary_2s_complement |
| 74 | Inverse of a Matrix | Inverse of Matrix Matrix([[70, 89, 73], [36, 43, 66], [96, 99, 13]]) is: | Matrix([[-1195/12566, 607/6283, 547/12566], [2934/31415, -3049/31415, -996/31415], [-282/31415, 807/31415, -97/31415]]) | invert_matrix |
| 75 | Area of a Sector | Given radius, 32 and angle, 157. Find the area of the sector. | Area of sector = 1402.96547 | sector_area |
| 76 | Mean and Median | Given the series of numbers [81, 67, 6, 16, 98, 69, 28, 60, 56, 20]. find the arithmatic mean and mdian of the series | Arithmetic mean of the series is 50.1 and Arithmetic median of this series is 58.0 | mean_median |
| 77 | Determinant to 2x2 Matrix | Det([[88, 11], [75, 32]]) = | 1991 | int_matrix_22_determinant |
| 78 | Compound Interest | Compound interest for a principle amount of 7240 dollars, 10% rate of interest and for a time period of 7 year is = | 14108.71 | compound_interest |
| 79 | Decimal to Hexadecimal | Binary of 181= | 0xb5 | decimal_to_hexadeci |
| 80 | Percentage of a number | What is 93% of 67? | Required percentage = 62.31% | percentage |
| 81 | Celsius To Fahrenheit | Convert -9 degrees Celsius to degrees Fahrenheit = | 15.8 | celsius_to_fahrenheit |
| 82 | AP Term Calculation | Find the term number 93 of the AP series: 16, -72, -160 ... | -8080 | arithmetic_progression_term |
| 83 | AP Sum Calculation | Find the sum of first 40 terms of the AP series: 79, 111, 143 ... | 28120.0 | arithmetic_progression_sum |
| 84 | Converts decimal to octal | The decimal number 453 in Octal is: | 0o705 | decimal_to_octal |
| 85 | Converts decimal to Roman Numerals | The number 492 in Roman Numerals is: | CDXCII | decimal_to_roman_numerals |
| 86 | Degrees to Radians | Angle 146 in radians is = | 2.55 | 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(ln(x)+6*x^(-2))/dx | 1/x - 12/x^3 | differentiation |
| 89 | Definite Integral of Quadratic Equation | The definite integral within limits 0 to 1 of the equation 97x^2 + 21x + 68 is = | 110.8333 | definite_integral |
| 90 | isprime | 100 | False | is_prime |
| 91 | Binary Coded Decimal to Integer | Integer of Binary Coded Decimal 4 is = | 18071 | bcd_to_decimal |
| 92 | Complex To Polar Form | rexp(itheta) = | 20.25exp(i-1.22) | complex_to_polar |
| 93 | Union,Intersection,Difference of Two Sets | Given the two sets a={1, 3, 4, 6, 7, 8} ,b={8, 1, 3, 5}.Find the Union,intersection,a-b,b-a and symmetric difference | Union is {1, 3, 4, 5, 6, 7, 8},Intersection is {8, 1, 3}, a-b is {4, 6, 7},b-a is {5}, Symmetric difference is {4, 5, 6, 7} | set_operation |
| 94 | Base Conversion | Convert 33792 from base 10 to base 8. | 102000 | base_conversion |
| 95 | Curved surface area of a cylinder | What is the curved surface area of a cylinder of radius, 12 and height, 87? | CSA of cylinder = 6559.65 | curved_surface_area_cylinder |
| 96 | Perimeter of Polygons | The perimeter of a 11 sided polygon with lengths of [82, 107, 53, 3, 14, 47, 106, 22, 90, 87, 22]cm is: | 633 | perimeter_of_polygons |
| 97 | Power of Powers | The 37^1^5 = 37^(1*5) = 37^5 | 69343957 | power_of_powers |
| 98 | Quotient of Powers with Same Base | The Quotient of 46^3 and 46^7 = 46^(3-7) = 46^-4 | 2.2334111155977858e-07 | quotient_of_power_same_base |
| 99 | Quotient of Powers with Same Power | The Quotient of 40^3 and 20^3 = (40/20)^3 = 2.0^3 | 8.0 | quotient_of_power_same_power |
| 100 | complex Quadratic Equation | Find the roots of given Quadratic Equation 2x^2 + 6x + 1 = 0 | simplified solution : ((-0.177, -2.823)), generalized solution : ((-6 + sqrt(28))/2*2, (-6 - sqrt(28))/2*2) | complex_quadratic |
| 101 | Leap Year or Not | Year 1929 | is not a leap year | is_leap_year |
| 102 | Minute to Hour conversion | Convert 793 minutes to Hours & Minutes | 13 hours and 13 minutes | minutes_to_hours |
| 103 | Decimal to Binary Coded Decimal | BCD of Decimal Number 9170 is = | 23132 | decimal_to_bcd |
| 104 | Circumference | Circumference of circle with radius 10 | 62.83185307179586 | circumference |
| 105 | Combine Like terms | 6x^1 + 3x^2 + 6x^2 | 6x^1 + 9x^2 | combine_like_terms |
| 106 | signum function | signum of 281 is = | 1 | signum_function |
| 107 | Conditional Probability | Someone tested positive for a nasty disease which only 1.44% of population have. Test sensitivity (true positive) is equal to SN= 93.49% whereas test specificity (true negative) SP= 94.85%. What is the probability that this guy really has that disease? | 20.96% | conditional_probability |
| 108 | Arc length of Angle | Given radius, 42 and angle, 114. Find the arc length of the angle. | Arc length of the angle = 83.56636 | arc_length |
| 109 | Binomial distribution | A manufacturer of metal pistons finds that, on average, 40.72% of the pistons they manufacture are rejected because they are incorrectly sized. What is the probability that a batch of 13 pistons will contain no more than 7 rejected pistons? | 89.26 | binomial_distribution |