NarayanAdithya / mathgenerator

A math problem generator, created for the purpose of giving self-studying students and teaching organizations the means to easily get access to high-quality, generated math problems to suit their needs.

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	33+23=	56	addition
1	Subtraction	14-1=	13	subtraction
2	Multiplication	52*1=	52	multiplication
3	Division	14/26=	0.5384615384615384	division
4	Binary Complement 1s	0110111=	1001000	binaryComplement1s
5	Modulo Division	23%70=	23	moduloDivision
6	Square Root	sqrt(121)=	11	squareRoot
7	Power Rule Differentiation	3x^2 + 3x^5 + 1x^2 + 6x^4 + 6x^3	6x^1 + 15x^4 + 2x^1 + 24x^3 + 18x^2	powerRuleDifferentiation
8	Square	18^2=	324	square
9	LCM (Least Common Multiple)	LCM of 17 and 11 =	187	lcm
10	GCD (Greatest Common Denominator)	GCD of 15 and 12 =	3	gcd
11	Basic Algebra	2x + 3 = 10	7/2	basicAlgebra
12	Logarithm	log2(32)	5	log
13	Easy Division	196/14 =	14	intDivision
14	Decimal to Binary	Binary of 61=	111101	decimalToBinary
15	Binary to Decimal	1	1	binaryToDecimal
16	Fraction Division	(2/1)/(10/5)	1	fractionDivision
17	Integer Multiplication with 2x2 Matrix	16 * [[4, 1], [1, 2]] =	[[64,16],[16,32]]	intMatrix22Multiplication
18	Area of Triangle	Area of triangle with side lengths: 15 13 11 =	69.62892717829278	areaOfTriangle
19	Triangle exists check	Does triangle with sides 35, 14 and 37 exist?	Yes	doesTriangleExist
20	Midpoint of the two point	(15,5),(9,10)=	(12.0,7.5)	midPointOfTwoPoint
21	Factoring Quadratic	x^2-12x+35	(x-7)(x-5)	factoring
22	Third Angle of Triangle	Third angle of triangle with angles 37 and 54 =	89	thirdAngleOfTriangle
23	Solve a System of Equations in R^2	-4x - 8y = 60, -9x + 10y = 51	x = -9, y = -3	systemOfEquations
24	Distance between 2 points	Find the distance between (16, 7) and (19, 14)	sqrt(58)	distance2Point
25	Pythagorean Theorem	The hypotenuse of a right triangle given the other two lengths 18 and 8 =	19.70	pythagoreanTheorem
26	Linear Equations	-8x + 15y = -109
6x + -14y = 90	x = 8, y = -3	linearEquations
27	Prime Factorisation	Find prime factors of 130	[2, 5, 13]	primeFactors
28	Fraction Multiplication	(8/9)*(3/2)	4/3	fractionMultiplication
29	Angle of a Regular Polygon	Find the angle of a regular polygon with 8 sides	135.0	angleRegularPolygon
30	Combinations of Objects	Number of combinations from 11 objects picked 9 at a time	55	combinations
31	Factorial	2! =	2	factorial
32	Surface Area of Cube	Surface area of cube with side = 17m is	1734 m^2	surfaceAreaCubeGen
33	Surface Area of Cuboid	Surface area of cuboid with sides = 8m, 4m, 17m is	472 m^2	surfaceAreaCuboidGen
34	Surface Area of Cylinder	Surface area of cylinder with height = 32m and radius = 18m is	5654 m^2	surfaceAreaCylinderGen
35	Volum of Cube	Volume of cube with side = 11m is	1331 m^3	volumeCubeGen
36	Volume of Cuboid	Volume of cuboid with sides = 14m, 19m, 1m is	266 m^3	volumeCuboidGen
37	Volume of cylinder	Volume of cylinder with height = 16m and radius = 18m is	16286 m^3	volumeCylinderGen
38	Surface Area of cone	Surface area of cone with height = 48m and radius = 20m is	4523 m^2	surfaceAreaConeGen
39	Volume of cone	Volume of cone with height = 29m and radius = 6m is	1093 m^3	volumeConeGen
40	Common Factors	Common Factors of 59 and 57 =	[1]	commonFactors
41	Intersection of Two Lines	Find the point of intersection of the two lines: y = -1/4x - 2 and y = 4/5x + 3	(-100/21, -17/21)	intersectionOfTwoLines
42	Permutations	Number of Permutations from 13 objects picked 8 at a time =	51891840	permutations
43	Cross Product of 2 Vectors	[4, -11, 9] X [-8, -19, -5] =	[226, -52, -164]	vectorCross
44	Compare Fractions	Which symbol represents the comparison between 3/7 and 2/4?	<	compareFractions
45	Simple Interest	Simple interest for a principle amount of 2398 dollars, 9% rate of interest and for a time period of 5 years is =	1079.1	simpleInterest
46	Multiplication of two matrices	Multiply -50 36 7 -26 -2 63 88 -37 60 -19 61 -56 48 -5 69 -87 -64 -92 -84 -50 -79 -19 86 -13 0 28 12 -14 73 -49 94 -90 2 26 -38 19 2 -11 79 -77 98 -77 -87 70 72 -32 64 -99 and 34 32 -6 -32 46 -23 78 -81 -18 -17 24 49 -62 -50 77 38 -98 -64 -23 -78 43 5 -83 -5 4 -92 -16 46 -47 -92 52 -25 -37 44 51 -7 20 26 70 37 96 -73 49 84 42 -72 -15 -80 -24 58 -47 -41 45 -69	-8245 -1057 -423 -3535 -569 2034 -6329 1219 -5765 6619 567 10737 2391 4001 -6291 10147 -7387 6383 1472 -161 13318 -5565 -12574 10381 638 -23699 2621 1593 5598 3465 7899 13170 -6487 -4857 24642 10618 3592 3027 12206 1473 2120 -412 6082 -635 4561 3748 -1803 -11460 2072 5462 -8183 2423 11 947 2400 960 22950 2483 952 -1974 4625 -5512 9372 1132 -2067 22392 1884 -12276 8196 1949 -7148 5677	matrixMultiplication
[ 10584, 13902, 11916, -7446, 4430, 554]
[ -1800, 6587, 14343, 6224, 4525, 4853]
[-12452, -10675, -8693, 427, 2955, 17691]]	matrixMultiplication
47	Cube Root	cuberoot of 221 upto 2 decimal places is:	6.05	CubeRoot
48	Power Rule Integration	4x^5 + 2x^5 + 9x^8 + 9x^5	(4/5)x^6 + (2/5)x^6 + (9/8)x^9 + (9/5)x^6 + c	powerRuleIntegration
49	Fourth Angle of Quadrilateral	Fourth angle of quadrilateral with angles 27 , 155, 116 =	62	fourthAngleOfQuadrilateral
50	Quadratic Equation	Zeros of the Quadratic Equation 53x^2+200x+78=0	[-0.44, -3.33]	quadraticEquationSolve
51	HCF (Highest Common Factor)	HCF of 7 and 4 =	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 11 =	2/36	diceSumProbability
53	Exponentiation	9^10 =	3486784401	exponentiation
54	Confidence interval For sample S	The confidence interval for sample [266, 201, 278, 209, 229, 275, 216, 234, 219, 276, 282, 281, 208, 247, 265, 273, 286, 202, 231, 207, 251, 203, 259, 288, 291, 260, 210, 263, 222] with 99% confidence is	(260.5668079141175, 231.29526105139982)	confidenceInterval
55	Comparing surds	Fill in the blanks 15^(1/9) _ 55^(1/1)	<	surdsComparison
56	Fibonacci Series	The Fibonacci Series of the first 10 numbers is ?	[0, 1, 1, 2, 3, 5, 8, 13, 21, 34]	fibonacciSeries
57	Trigonometric Values	What is tan(30)?	1/√3	basicTrigonometry
58	Sum of Angles of Polygon	Sum of angles of polygon with 3 sides =	180	sumOfAnglesOfPolygon
59	Mean,Standard Deviation,Variance	Find the mean,standard deviation and variance for the data[36, 13, 31, 23, 38, 34, 24, 20, 41, 14, 19, 31, 11, 49, 49]	The Mean is 28.866666666666667 , Standard Deviation is 143.5822222222222, Variance is 11.982579948501167	dataSummary
59	Surface Area of Sphere	Surface area of Sphere with radius = 11m is	1520.5308443374597 m^2	surfaceAreaSphereGen
60	Volume of Sphere	Volume of sphere with radius 73 m =	1629510.5990953872 m^3	volumeSphere
61	nth Fibonacci number	What is the 68th Fibonacci number?	72723460248141	nthFibonacciNumberGen
62	Profit or Loss Percent	Profit percent when CP = 825 and SP = 972 is:	17.81818181818182	profitLossPercent
63	Binary to Hexidecimal	100000	0x20	binaryToHex
64	Multiplication of 2 complex numbers	(3+14j) * (-3+16j) =	(-233+6j)	complexNumMultiply
65	Geometric Progression	For the given GP [4, 16, 64, 256, 1024, 4096] ,Find the value of a,common ratio,8th term value, sum upto 7th term	The value of a is 4, common ratio is 4 , 8th term is 65536 , sum upto 7th term is 21844.0	geometricprogression
66	Geometric Mean of N Numbers	Geometric mean of 3 numbers 81 , 35 and 99 =	(813599)^(1/3) = 65.47307713912309	geometricMean
67	Harmonic Mean of N Numbers	Harmonic mean of 2 numbers 99 and 25 =	2/((1/99) + (1/25)) = 39.91935483870967	harmonicMean