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	6+34=	40	addition
1	Subtraction	66-1=	65	subtraction
2	Multiplication	69*1=	69	multiplication
3	Division	19/52=	0.36538461538461536	division
4	Binary Complement 1s	10000=	01111	binary_complement_1s
5	Modulo Division	79%84=	79	modulo_division
6	Square Root	sqrt(64)=	8	square_root
7	Power Rule Differentiation	2x^8 + 6x^2 + 10x^7	16x^7 + 12x^1 + 70x^6	power_rule_differentiation
8	Square	18^2=	324	square
9	LCM (Least Common Multiple)	LCM of 1 and 14 =	14	lcm
10	GCD (Greatest Common Denominator)	GCD of 5 and 7 =	1	gcd
11	Basic Algebra	8x + 1 = 9	8	basic_algebra
12	Logarithm	log2(32)	5	log
13	Easy Division	165/11 =	15	int_division
14	Decimal to Binary	Binary of 95=	1011111	decimal_to_binary
15	Binary to Decimal	1111001000	968	binary_to_decimal
16	Fraction Division	(3/8)/(1/3)	9/8	divide_fractions
17	Integer Multiplication with 2x2 Matrix	11 * 9, 6], [9, 9 =	99,66],[99,99	multiply_int_to_22_matrix
18	Area of Triangle	Area of triangle with side lengths: 2 3 9 =	(1.0246130234694952e-15+16.73320053068151j)	area_of_triangle
19	Triangle exists check	Does triangle with sides 15, 24 and 22 exist?	Yes	valid_triangle
20	Midpoint of the two point	(8,-11),(8,-6)=	(8.0,-8.5)	midpoint_of_two_points
21	Factoring Quadratic	x^2+7x+10	(x+5)(x+2)	factoring
22	Third Angle of Triangle	Third angle of triangle with angles 53 and 11 =	116	third_angle_of_triangle
23	Solve a System of Equations in R^2	-8x - 2y = 78, -8x + 3y = 63	x = -9, y = -3	system_of_equations
24	Distance between 2 points	Find the distance between (-9, -20) and (17, -19)	sqrt(677)	distance_two_points
25	Pythagorean Theorem	The hypotenuse of a right triangle given the other two lengths 17 and 10 =	19.72	pythagorean_theorem
26	Linear Equations	20x + -5y = -240, -8x + -9y = -36	x = -9, y = 12	linear_equations
27	Prime Factorisation	Find prime factors of 60	[2, 2, 3, 5]	prime_factors
28	Fraction Multiplication	(10/8)*(2/8)	5/16	fraction_multiplication
29	Angle of a Regular Polygon	Find the angle of a regular polygon with 4 sides	90.0	angle_regular_polygon
30	Combinations of Objects	Number of combinations from 10 objects picked 1 at a time	10	combinations
31	Factorial	3! =	6	factorial
32	Surface Area of Cube	Surface area of cube with side = 5m is	150 m^2	surface_area_cube
33	Surface Area of Cuboid	Surface area of cuboid with sides = 20m, 2m, 4m is	256 m^2	surface_area_cuboid
34	Surface Area of Cylinder	Surface area of cylinder with height = 4m and radius = 6m is	376 m^2	surface_area_cylinder
35	Volum of Cube	Volume of cube with side = 20m is	8000 m^3	volume_cube
36	Volume of Cuboid	Volume of cuboid with sides = 10m, 6m, 17m is	1020 m^3	volume_cuboid
37	Volume of cylinder	Volume of cylinder with height = 50m and radius = 14m is	30787 m^3	volume_cylinder
38	Surface Area of cone	Surface area of cone with height = 9m and radius = 5m is	240 m^2	surface_area_cone
39	Volume of cone	Volume of cone with height = 26m and radius = 9m is	2205 m^3	volume_cone
40	Common Factors	Common Factors of 85 and 23 =	[1]	common_factors
41	Intersection of Two Lines	Find the point of intersection of the two lines: y = -8/2x + 6 and y = -7/5x + 5	(5/13, 58/13)	intersection_of_two_lines
42	Permutations	Number of Permutations from 18 objects picked 9 at a time =	17643225600	permutation
43	Cross Product of 2 Vectors	[-9, -11, -7] X [-6, -14, 4] =	[-142, 78, 60]	vector_cross
44	Compare Fractions	Which symbol represents the comparison between 9/1 and 9/4?	>	compare_fractions
45	Simple Interest	Simple interest for a principle amount of 6270 dollars, 4% rate of interest and for a time period of 8 years is =	2006.4	simple_interest
46	Multiplication of two matrices	Multiply 8 -4 1 2 2 -1 and 3 -5 -4 2 -10 -7 8 -8 7	24 -8 3 2 -22 -29	matrix_multiplication
47	Cube Root	cuberoot of 462 upto 2 decimal places is:	7.73	cube_root
48	Power Rule Integration	3x^5	(3/5)x^6 + c	power_rule_integration
49	Fourth Angle of Quadrilateral	Fourth angle of quadrilateral with angles 173 , 63, 34 =	90	fourth_angle_of_quadrilateral
50	Quadratic Equation	Zeros of the Quadratic Equation 64x^2+175x+26=0	[-0.16, -2.58]	quadratic_equation
51	HCF (Highest Common Factor)	HCF of 15 and 3 =	3	hcf
52	Probability of a certain sum appearing on faces of dice	If 3 dice are rolled at the same time, the probability of getting a sum of 13 =	21/216	dice_sum_probability
53	Exponentiation	11^9 =	2357947691	exponentiation
54	Confidence interval For sample S	The confidence interval for sample [234, 272, 289, 255, 291, 219, 225, 282, 266, 288, 259, 269, 275, 260, 262, 250, 270, 241, 287, 294, 200, 210, 298, 273] with 90% confidence is	(270.221486487058, 252.19518017960863)	confidence_interval
55	Comparing surds	Fill in the blanks 22^(1/2) _ 74^(1/6)	>	surds_comparison
56	Fibonacci Series	The Fibonacci Series of the first 14 numbers is ?	[0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233]	fibonacci_series
57	Trigonometric Values	What is sin(90)?	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[29, 50, 21, 44, 44, 17, 34, 47, 7, 10, 26, 7, 6, 49, 21]	The Mean is 27.466666666666665 , Standard Deviation is 249.5822222222222, Variance is 15.798171483504735	data_summary
60	Surface Area of Sphere	Surface area of Sphere with radius = 8m is	804.247719318987 m^2	surface_area_sphere
61	Volume of Sphere	Volume of sphere with radius 80 m =	2144660.584850632 m^3	volume_sphere
62	nth Fibonacci number	What is the 4th Fibonacci number?	3	nth_fibonacci_number
63	Profit or Loss Percent	Profit percent when CP = 37 and SP = 447 is:	1108.1081081081081	profit_loss_percent
64	Binary to Hexidecimal	01100001	0x61	binary_to_hex
65	Multiplication of 2 complex numbers	(17+7j) * (7+14j) =	(21+287j)	multiply_complex_numbers
66	Geometric Progression	For the given GP [12, 60, 300, 1500, 7500, 37500] ,Find the value of a,common ratio,8th term value, sum upto 6th term	The value of a is 12, common ratio is 5 , 8th term is 937500 , sum upto 6th term is 46872.0	geometric_progression
67	Geometric Mean of N Numbers	Geometric mean of 2 numbers 46 and 20 =	(46*20)^(1/2) = 30.331501776206203	geometric_mean
68	Harmonic Mean of N Numbers	Harmonic mean of 2 numbers 35 and 3 =	2/((1/35) + (1/3)) = 5.526315789473684	harmonic_mean
69	Euclidian norm or L2 norm of a vector	Euclidian norm or L2 norm of the vector[653.9717397584312, 689.1069921882294, 19.887404949723187, 17.33889409833278, 762.6266577725075, 189.70375690805275, 673.7332899787874] is:	1405.2569550674714	euclidian_norm
70	Angle between 2 vectors	angle between the vectors [638.9, 178.91, 936.86, 859.08, 27.18, 730.15, 513.96, 244.4, 698.55] and [546.02, 51.57, 631.8, 932.17, 558.58, 598.42, 537.63, 334.25, 289.47] is:	0.43 radians	angle_btw_vectors
71	Absolute difference between two numbers	Absolute difference between numbers -98 and 73 =	171	absolute_difference
72	Dot Product of 2 Vectors	[11, -12, -15] . [1, -1, 3] =	-22	vector_dot
73	Binary 2's Complement	2's complement of 1 =	1	binary_2s_complement
74	Inverse of a Matrix	Inverse of Matrix Matrix(75, 30, 13], [5, 89, 16], [74, 48, 59) is:	Matrix(4483/280397, -1146/280397, -677/280397], [889/280397, 3463/280397, -1135/280397], [-6346/280397, -1380/280397, 6525/280397)	invert_matrix
75	Area of a Sector	Given radius, 18 and angle, 137. Find the area of the sector.	Area of sector = 387.35837	sector_area
76	Mean and Median	Given the series of numbers [80, 93, 16, 39, 48, 88, 7, 95, 40, 2]. find the arithmatic mean and mdian of the series	Arithmetic mean of the series is 50.8 and Arithmetic median of this series is 44.0	mean_median
77	Determinant to 2x2 Matrix	Det(68, 11], [22, 34) =	2070	int_matrix_22_determinant
78	Compound Interest	Compound interest for a principle amount of 6075 dollars, 8% rate of interest and for a time period of 9 year is =	12143.95	compound_interest
79	Decimal to Hexadecimal	Binary of 716=	0x2cc	decimal_to_hexadeci
80	Percentage of a number	What is 13% of 5?	Required percentage = 0.65%	percentage
81	Celsius To Fahrenheit	Convert -42 degrees Celsius to degrees Fahrenheit =	-43.60000000000001	celsius_to_fahrenheit
82	AP Term Calculation	Find the term number 11 of the AP series: -17, 71, 159 ...	863	arithmetic_progression_term
83	AP Sum Calculation	Find the sum of first 80 terms of the AP series: 2, 86, 170 ...	265600.0	arithmetic_progression_sum
84	Converts decimal to octal	The decimal number 3350 in Octal is:	0o6426	decimal_to_octal
85	Converts decimal to Roman Numerals	The number 1203 in Roman Numerals is:	MCCIII	decimal_to_roman_numerals
86	Degrees to Radians	Angle 313 in radians is =	5.46	degree_to_rad
87	Radians to Degrees	Angle 1 in degrees is =	57.3	radian_to_deg
88	Differentiation	differentiate w.r.t x : d(cos(x)+6*x^(-2))/dx	-sin(x) - 12/x^3	differentiation
89	Definite Integral of Quadratic Equation	The definite integral within limits 0 to 1 of the equation 24x^2 + 13x + 13 is =	27.5	definite_integral
90	isprime	84	False	is_prime
91	Binary Coded Decimal to Integer	Integer of Binary Coded Decimal 1 is =	5458	bcd_to_decimal
92	Complex To Polar Form	rexp(itheta) =	12.21exp(i0.61)	complex_to_polar
93	Union,Intersection,Difference of Two Sets	Given the two sets a={10, 3, 4, 7} ,b={2, 5, 6, 7}.Find the Union,intersection,a-b,b-a and symmetric difference	Union is {2, 3, 4, 5, 6, 7, 10},Intersection is {7}, a-b is {10, 3, 4},b-a is {2, 5, 6}, Symmetric difference is {2, 3, 4, 5, 6, 10}	set_operation
94	Base Conversion	Convert 44854 from base 10 to base 2.	1010111100110110	base_conversion
95	Curved surface area of a cylinder	What is the curved surface area of a cylinder of radius, 1 and height, 20?	CSA of cylinder = 125.66	curved_surface_area_cylinder
96	Perimeter of Polygons	The perimeter of a 9 sided polygon with lengths of [35, 114, 106, 106, 66, 53, 18, 96, 27]cm is:	621	perimeter_of_polygons
97	Power of Powers	The 15^7^6 = 15^(7*6) = 15^42	24878997722115027320114677422679960727691650390625	power_of_powers
98	Quotient of Powers with Same Base	The Quotient of 47^3 and 47^10 = 47^(3-10) = 47^-7	1.973853856267171e-12	quotient_of_power_same_base
99	Quotient of Powers with Same Power	The Quotient of 34^1 and 17^1 = (34/17)^1 = 2.0^1	2.0	quotient_of_power_same_power
100	complex Quadratic Equation	Find the roots of given Quadratic Equation 4x^2 + 8x + 3 = 0	simplified solution : ((-0.5, -1.5)), generalized solution : ((-8 + 4)/24, (-8 - 4)/24)	complex_quadratic
101	Conditional Probability	Someone tested positive for a nasty disease which only 1.61% of population have. Test sensitivity (true positive) is equal to SN= 93.28% whereas test specificity (true negative) SP= 92.26%. What is the probability that this guy really has that disease?	16.47%	conditionalProbability