mathgenerator/README.md

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 https://todarith.ml/generate/

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

pip install mathgenerator

Here is an example of how you would generate an addition problem:

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	Multiply 5 -3 6 6 7 -2 5 5 -2 and -6 4 -5 -2 -5 1	-45 32 -61 8 -45 8	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)/29, (-9 - 3)/29)	complex_quadratic