# 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 | |------|-----------------------------------|--------------------|-----------------------|--------------------------| | 0 | Addition | 39+50= | 89 | addition | | 1 | Subtraction | 91-37= | 54 | subtraction | | 2 | Multiplication | 39*1= | 39 | multiplication | | 3 | Division | 67/85= | 0.788235294117647 | division | | 4 | Binary Complement 1s | 1101100101= | 0010011010 | binary_complement_1s | | 5 | Modulo Division | 72%26= | 20 | modulo_division | | 6 | Square Root | sqrt(16)= | 4 | square_root | | 7 | Power Rule Differentiation | 4x^1 | 4x^0 | power_rule_differentiation | | 8 | Square | 20^2= | 400 | square | | 9 | LCM (Least Common Multiple) | LCM of 5 and 2 = | 10 | lcm | | 10 | GCD (Greatest Common Denominator) | GCD of 17 and 20 = | 1 | gcd | | 11 | Basic Algebra | 10x + 8 = 8 | 0 | basic_algebra | | 12 | Logarithm | log2(64) | 6 | log | | 13 | Easy Division | 147/7 = | 21 | int_division | | 14 | Decimal to Binary | Binary of 4= | 100 | decimal_to_binary | | 15 | Binary to Decimal | 010111110 | 190 | binary_to_decimal | | 16 | Fraction Division | (2/10)/(8/4) | 1/10 | divide_fractions | | 17 | Integer Multiplication with 2x2 Matrix | 9 * [[6, 1], [1, 3]] = | [[54,9],[9,27]] | multiply_int_to_22_matrix | | 18 | Area of Triangle | Area of triangle with side lengths: 19 17 10 = | 84.71127433818948 | area_of_triangle | | 19 | Triangle exists check | Does triangle with sides 29, 13 and 3 exist? | No | valid_triangle | | 20 | Midpoint of the two point | (10,-14),(-4,-1)= | (3.0,-7.5) | midpoint_of_two_points | | 21 | Factoring Quadratic | x^2-18x+81 | (x-9)(x-9) | factoring | | 22 | Third Angle of Triangle | Third angle of triangle with angles 68 and 78 = | 34 | third_angle_of_triangle | | 23 | Solve a System of Equations in R^2 | -4x - 10y = 24, -4x - 3y = -4 | x = 4, y = -4 | system_of_equations | | 24 | Distance between 2 points | Find the distance between (8, 5) and (13, 9) | sqrt(41) | distance_two_points | | 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 12 and 2 = | 12.17 | pythagorean_theorem | | 26 | Linear Equations | 19x + -13y = -450, 10x + 10y = 100 | x = -10, y = 20 | linear_equations | | 27 | Prime Factorisation | Find prime factors of 59 | [59] | prime_factors | | 28 | Fraction Multiplication | (6/1)*(3/10) | 9/5 | fraction_multiplication | | 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 16 sides | 157.5 | angle_regular_polygon | | 30 | Combinations of Objects | Number of combinations from 18 objects picked 6 at a time | 18564 | combinations | | 31 | Factorial | 3! = | 6 | factorial | | 32 | Surface Area of Cube | Surface area of cube with side = 19m is | 2166 m^2 | surface_area_cube | | 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 5m, 1m, 6m is | 82 m^2 | surface_area_cuboid | | 34 | Surface Area of Cylinder | Surface area of cylinder with height = 15m and radius = 17m is | 3418 m^2 | surface_area_cylinder | | 35 | Volum of Cube | Volume of cube with side = 10m is | 1000 m^3 | volume_cube | | 36 | Volume of Cuboid | Volume of cuboid with sides = 10m, 16m, 1m is | 160 m^3 | volume_cuboid | | 37 | Volume of cylinder | Volume of cylinder with height = 34m and radius = 16m is | 27344 m^3 | volume_cylinder | | 38 | Surface Area of cone | Surface area of cone with height = 15m and radius = 2m is | 107 m^2 | surface_area_cone | | 39 | Volume of cone | Volume of cone with height = 19m and radius = 9m is | 1611 m^3 | volume_cone | | 40 | Common Factors | Common Factors of 56 and 69 = | [1] | common_factors | | 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = -2x - 10 and y = -8/5x - 5 | (-25/2, 15) | intersection_of_two_lines | | 42 | Permutations | Number of Permutations from 17 objects picked 4 at a time = | 57120 | permutation | | 43 | Cross Product of 2 Vectors | [-16, 6, -14] X [-17, -6, -5] = | [-114, 158, 198] | vector_cross | | 44 | Compare Fractions | Which symbol represents the comparison between 1/10 and 8/7? | < | compare_fractions | | 45 | Simple Interest | Simple interest for a principle amount of 8073 dollars, 8% rate of interest and for a time period of 3 years is = | 1937.52 | simple_interest | | 46 | Multiplication of two matrices | Multiply
-1-7
-72
-82
-82
and
9-43
-9-8-1
|
54604
-8112-23
-9016-26
-9016-26
| matrix_multiplication | | 47 | Cube Root | cuberoot of 440 upto 2 decimal places is: | 7.61 | cube_root | | 48 | Power Rule Integration | 8x^5 + 1x^9 + 9x^9 + 5x^6 + 7x^7 | (8/5)x^6 + (1/9)x^10 + (9/9)x^10 + (5/6)x^7 + (7/7)x^8 + c | power_rule_integration | | 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 11 , 199, 1 = | 149 | fourth_angle_of_quadrilateral | | 50 | Quadratic Equation | Zeros of the Quadratic Equation 95x^2+190x+55=0 | [-0.35, -1.65] | quadratic_equation | | 51 | HCF (Highest Common Factor) | HCF of 5 and 13 = | 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 12 = | 1/36 | dice_sum_probability | | 53 | Exponentiation | 20^6 = | 64000000 | exponentiation | | 54 | Confidence interval For sample S | The confidence interval for sample [232, 260, 277, 253, 223, 287, 243, 240, 218, 271, 237, 276, 258, 250, 246, 226, 239, 295, 235, 247, 213, 210, 207, 236, 261, 211, 205, 284, 256, 299, 228, 267, 293, 200, 215] with 99% confidence is | (257.6870590779175, 233.6272266363682) | confidence_interval | | 55 | Comparing surds | Fill in the blanks 75^(1/8) _ 68^(1/1) | < | 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 tan(30)? | 1/√3 | basic_trigonometry | | 58 | Sum of Angles of Polygon | Sum of angles of polygon with 8 sides = | 1080 | sum_of_polygon_angles | | 59 | Mean,Standard Deviation,Variance | Find the mean,standard deviation and variance for the data[48, 33, 41, 29, 9, 50, 43, 11, 16, 21, 23, 35, 45, 35, 19] | The Mean is 30.533333333333335 , Standard Deviation is 169.5822222222222, Variance is 13.022373908862479 | data_summary | | 60 | Surface Area of Sphere | Surface area of Sphere with radius = 2m is | 50.26548245743669 m^2 | surface_area_sphere | | 61 | Volume of Sphere | Volume of sphere with radius 76 m = | 1838778.3689363108 m^3 | volume_sphere | | 62 | nth Fibonacci number | What is the 27th Fibonacci number? | 196418 | nth_fibonacci_number | | 63 | Profit or Loss Percent | Loss percent when CP = 459 and SP = 294 is: | 35.947712418300654 | profit_loss_percent | | 64 | Binary to Hexidecimal | 110 | 0x6 | binary_to_hex | | 65 | Multiplication of 2 complex numbers | (20-11j) * (3+19j) = | (269+347j) | multiply_complex_numbers | | 66 | Geometric Progression | For the given GP [4, 40, 400, 4000, 40000, 400000] ,Find the value of a,common ratio,9th term value, sum upto 11th term | The value of a is 4, common ratio is 10 , 9th term is 400000000 , sum upto 11th term is 44444444444.0 | geometric_progression | | 67 | Geometric Mean of N Numbers | Geometric mean of 2 numbers 65 and 22 = | (65*22)^(1/2) = 37.815340802378074 | geometric_mean | | 68 | Harmonic Mean of N Numbers | Harmonic mean of 4 numbers 9 , 8 , 47 , 73 = | 4/((1/9) + (1/8) + (1/47) + (1/73)) = 14.75544671255992 | harmonic_mean | | 69 | Euclidian norm or L2 norm of a vector | Euclidian norm or L2 norm of the vector[820.7491392802318, 209.6794919301974, 225.59292753758044, 537.8783420147682, 40.14693897510357, 648.8940804515304, 277.0690883822212, 741.9271329359917, 807.1036732602864, 608.7427632578269, 625.6879783489085, 834.4512357524056, 423.2785583193275, 709.5606560098445, 493.29922694432196, 903.1151397634669, 605.6380116528376] is: | 2515.129484208976 | euclidian_norm | | 70 | Angle between 2 vectors | angle between the vectors [559.07, 674.48, 425.75, 871.89, 260.89, 31.64, 377.38, 818.43, 787.57, 616.13, 636.31, 369.24, 340.6, 670.85, 840.37, 865.02, 481.69, 803.47] and [93.25, 398.41, 530.05, 68.46, 241.04, 539.93, 983.85, 872.27, 426.31, 231.65, 657.98, 928.56, 347.83, 329.71, 693.94, 916.86, 144.78, 199.82] is: | 0.67 radians | angle_btw_vectors | | 71 | Absolute difference between two numbers | Absolute difference between numbers -26 and 18 = | 44 | absolute_difference | | 72 | Dot Product of 2 Vectors | [19, -13, -8] . [6, 13, -19] = | 97 | vector_dot | | 73 | Binary 2's Complement | 2's complement of 100 = | 100 | binary_2s_complement | | 74 | Inverse of a Matrix | Inverse of Matrix Matrix([[36, 69, 83], [67, 9, 47], [4, 79, 11]]) is: | Matrix([[-139/10321, 223/10321, 96/10321], [-549/268346, 32/134173, 3869/268346], [5257/268346, -1284/134173, -4299/268346]]) | invert_matrix | | 75 | Area of a Sector | Given radius, 10 and angle, 349. Find the area of the sector. | Area of sector = 304.55995 | sector_area | | 76 | Mean and Median | Given the series of numbers [3, 58, 55, 75, 53, 28, 68, 48, 42, 38]. find the arithmatic mean and mdian of the series | Arithmetic mean of the series is 46.8 and Arithmetic median of this series is 50.5 | mean_median | | 77 | Determinant to 2x2 Matrix | Det([[72, 10], [43, 23]]) = | 1226 | int_matrix_22_determinant | | 78 | Compound Interest | Compound interest for a principle amount of 2783 dollars, 5% rate of interest and for a time period of 1 year is = | 2922.15 | compound_interest | | 79 | Decimal to Hexadecimal | Binary of 762= | 0x2fa | decimal_to_hexadeci | | 80 | Percentage of a number | What is 70% of 55? | Required percentage = 38.50% | percentage | | 81 | Celsius To Fahrenheit | Convert 67 degrees Celsius to degrees Fahrenheit = | 152.60000000000002 | celsius_to_fahrenheit | | 82 | AP Term Calculation | Find the term number 79 of the AP series: -79, -103, -127 ... | -1951 | arithmetic_progression_term | | 83 | AP Sum Calculation | Find the sum of first 79 terms of the AP series: 10, 39, 68 ... | 90139.0 | arithmetic_progression_sum | | 84 | Converts decimal to octal | The decimal number 2575 in Octal is: | 0o5017 | decimal_to_octal | | 85 | Converts decimal to Roman Numerals | The number 1746 in Roman Numerals is: | MDCCXLVI | decimal_to_roman_numerals | | 86 | Degrees to Radians | Angle 92 in radians is = | 1.61 | 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)+8*x^(-2))/dx | cos(x) - 16/x^3 | differentiation | | 89 | Definite Integral of Quadratic Equation | The definite integral within limits 0 to 1 of the equation 45x^2 + 27x + 1 is = | 29.5 | definite_integral | | 90 | isprime | 67 | True | is_prime | | 91 | Binary Coded Decimal to Integer | Integer of Binary Coded Decimal 9 is = | 37382 | bcd_to_decimal | | 92 | Complex To Polar Form | rexp(itheta) = | 13.89exp(i-1.04) | complex_to_polar | | 93 | Union,Intersection,Difference of Two Sets | Given the two sets a={3, 4, 5, 7, 9} ,b={10, 3, 6}.Find the Union,intersection,a-b,b-a and symmetric difference | Union is {3, 4, 5, 6, 7, 9, 10},Intersection is {3}, a-b is {9, 4, 5, 7},b-a is {10, 6}, Symmetric difference is {4, 5, 6, 7, 9, 10} | set_operation | | 94 | Base Conversion | Convert 6322 from base 16 to base 4. | 12030202 | base_conversion | | 95 | Curved surface area of a cylinder | What is the curved surface area of a cylinder of radius, 6 and height, 31? | CSA of cylinder = 1168.67 | curved_surface_area_cylinder | | 96 | Perimeter of Polygons | The perimeter of a 3 sided polygon with lengths of [82, 14, 110]cm is: | 206 | perimeter_of_polygons | | 97 | Power of Powers | The 5^9^1 = 5^(9*1) = 5^9 | 1953125 | power_of_powers | | 98 | Quotient of Powers with Same Base | The Quotient of 23^9 and 23^6 = 23^(9-6) = 23^3 | 12167 | quotient_of_power_same_base | | 99 | Quotient of Powers with Same Power | The Quotient of 22^3 and 27^3 = (22/27)^3 = 0.8148148148148148^3 | 0.540974444952497 | quotient_of_power_same_power | | 100 | complex Quadratic Equation | Find the roots of given Quadratic Equation 5x^2 + 8x + 2 = 0 | simplified solution : ((-0.31, -1.29)), generalized solution : ((-8 + sqrt(24))/2*5, (-8 - sqrt(24))/2*5) | complex_quadratic | | 101 | Leap Year or Not | Year 2088 | is a leap year | is_leap_year | | 102 | Minute to Hour conversion | Convert 262 minutes to Hours & Minutes | 4 hours and 22 minutes | minutes_to_hours | | 103 | Decimal to Binary Coded Decimal | BCD of Decimal Number 3356 is = | 13112 | decimal_to_bcd | | 104 | Circumference | Circumference of circle with radius 32 | 201.06192982974676 | circumference | | 105 | Combine Like terms | 8x^2 | 8x^2 | combine_like_terms | | 106 | signum function | signum of -285 is = | -1 | signum_function | | 107 | Conditional Probability | Someone tested positive for a nasty disease which only 0.30% of population have. Test sensitivity (true positive) is equal to SN= 94.82% whereas test specificity (true negative) SP= 96.80%. What is the probability that this guy really has that disease? | 8.19% | conditional_probability | | 108 | Arc length of Angle | Given radius, 40 and angle, 184. Find the arc length of the angle. | Arc length of the angle = 128.45623 | arc_length | | 109 | Binomial distribution | A manufacturer of metal pistons finds that, on average, 34.81% of the pistons they manufacture are rejected because they are incorrectly sized. What is the probability that a batch of 18 pistons will contain no more than 3 rejected pistons? | 8.07 | binomial_distribution | | 110 | Stationary Points | f(x)=2*x^3 + 4*x^2 + x + 1 | (-2/3 - sqrt(10)/6,2*(-2/3 - sqrt(10)/6)**3 - sqrt(10)/6 + 1/3 + 4*(-2/3 - sqrt(10)/6)**2),(-2/3 + sqrt(10)/6,2*(-2/3 + sqrt(10)/6)**3 + 4*(-2/3 + sqrt(10)/6)**2 + 1/3 + sqrt(10)/6) | stationary_points | | 111 | Expanding Factored Binomial | (-8x-1)(-4x+6) | 32*x^2-44*x-6 | expanding | | 112 | Area of Circle | Area of circle with radius 48 | 7241.142857142857 | area_of_circle |