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	38+43=	81	addition
1	Subtraction	58-47=	11	subtraction
2	Multiplication	59*0=	0	multiplication
3	Division	10/27=	0.37037037037037035	division
4	Binary Complement 1s	0001=	1110	binary_complement_1s
5	Modulo Division	52%59=	52	modulo_division
6	Square Root	sqrt(25)=	5	square_root
7	Power Rule Differentiation	5x^9 + 8x^9 + 9x^7 + 1x^7 + 6x^6	45x^8 + 72x^8 + 63x^6 + 7x^6 + 36x^5	power_rule_differentiation
8	Square	16^2=	256	square
9	LCM (Least Common Multiple)	LCM of 19 and 11 =	209	lcm
10	GCD (Greatest Common Denominator)	GCD of 13 and 3 =	1	gcd
11	Basic Algebra	9x + 2 = 2	0	basic_algebra
12	Logarithm	log3(81)	4	log
13	Easy Division	525/25 =	21	int_division
14	Decimal to Binary	Binary of 31=	11111	decimal_to_binary
15	Binary to Decimal	0101100100	356	binary_to_decimal
16	Fraction Division	(8/1)/(8/5)	5	divide_fractions
17	Integer Multiplication with 2x2 Matrix	10 * 5, 6], [0, 3 =	50,60],[0,30	multiply_int_to_22_matrix
18	Area of Triangle	Area of triangle with side lengths: 20 14 20 =	131.14495796636635	area_of_triangle
19	Triangle exists check	Does triangle with sides 46, 37 and 27 exist?	Yes	valid_triangle
20	Midpoint of the two point	(-12,13),(15,-19)=	(1.5,-3.0)	midpoint_of_two_points
21	Factoring Quadratic	x^2+6x+5	(x+5)(x+1)	factoring
22	Third Angle of Triangle	Third angle of triangle with angles 16 and 76 =	88	third_angle_of_triangle
23	Solve a System of Equations in R^2	-8x + 7y = -63, 6x - 7y = 49	x = 7, y = -1	system_of_equations
24	Distance between 2 points	Find the distance between (-1, -19) and (16, 19)	sqrt(1733)	distance_two_points
25	Pythagorean Theorem	The hypotenuse of a right triangle given the other two lengths 17 and 20 =	26.25	pythagorean_theorem
26	Linear Equations	-20x + -2y = -58, -16x + -13y = -149	x = 2, y = 9	linear_equations
27	Prime Factorisation	Find prime factors of 25	[5, 5]	prime_factors
28	Fraction Multiplication	(1/5)*(5/2)	1/2	fraction_multiplication
29	Angle of a Regular Polygon	Find the angle of a regular polygon with 18 sides	160.0	angle_regular_polygon
30	Combinations of Objects	Number of combinations from 13 objects picked 0 at a time	1	combinations
31	Factorial	2! =	2	factorial
32	Surface Area of Cube	Surface area of cube with side = 15m is	1350 m^2	surface_area_cube
33	Surface Area of Cuboid	Surface area of cuboid with sides = 9m, 7m, 20m is	766 m^2	surface_area_cuboid
34	Surface Area of Cylinder	Surface area of cylinder with height = 41m and radius = 20m is	7665 m^2	surface_area_cylinder
35	Volum of Cube	Volume of cube with side = 2m is	8 m^3	volume_cube
36	Volume of Cuboid	Volume of cuboid with sides = 6m, 8m, 18m is	864 m^3	volume_cuboid
37	Volume of cylinder	Volume of cylinder with height = 24m and radius = 13m is	12742 m^3	volume_cylinder
38	Surface Area of cone	Surface area of cone with height = 33m and radius = 20m is	3681 m^2	surface_area_cone
39	Volume of cone	Volume of cone with height = 9m and radius = 6m is	339 m^3	volume_cone
40	Common Factors	Common Factors of 32 and 64 =	[1, 2, 4, 8, 16, 32]	common_factors
41	Intersection of Two Lines	Find the point of intersection of the two lines: y = -5/5x - 10 and y = 6x + 5	(-15/7, -55/7)	intersection_of_two_lines
42	Permutations	Number of Permutations from 13 objects picked 6 at a time =	1235520	permutation
43	Cross Product of 2 Vectors	[-8, -17, -14] X [18, -14, -16] =	[76, -380, 418]	vector_cross
44	Compare Fractions	Which symbol represents the comparison between 5/2 and 7/9?	>	compare_fractions
45	Simple Interest	Simple interest for a principle amount of 3209 dollars, 8% rate of interest and for a time period of 1 years is =	256.72	simple_interest
46	Multiplication of two matrices	Multiply 4 -5 1 -10 -4 -9 6 6 -10 -4 7 9 10 7 2 6 and 8 4 -8 -2 -8 0 -3 -2	94 46 -26 -10 -131 -50 -10 14	matrix_multiplication
47	Cube Root	cuberoot of 722 upto 2 decimal places is:	8.97	cube_root
48	Power Rule Integration	9x^6 + 6x^2 + 1x^6	(9/6)x^7 + (6/2)x^3 + (1/6)x^7 + c	power_rule_integration
49	Fourth Angle of Quadrilateral	Fourth angle of quadrilateral with angles 159 , 23, 7 =	171	fourth_angle_of_quadrilateral
50	Quadratic Equation	Zeros of the Quadratic Equation 54x^2+188x+92=0	[-0.59, -2.89]	quadratic_equation
51	HCF (Highest Common Factor)	HCF of 7 and 2 =	1	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 4 =	1/6	dice_sum_probability
53	Exponentiation	19^6 =	47045881	exponentiation
54	Confidence interval For sample S	The confidence interval for sample [251, 210, 218, 219, 213, 250, 270, 206, 229, 289, 265, 277, 271, 282, 291, 239, 290, 217, 256, 254, 234, 268] with 90% confidence is	(259.6447431593175, 240.2643477497734)	confidence_interval
55	Comparing surds	Fill in the blanks 48^(1/9) _ 22^(1/3)	<	surds_comparison
56	Fibonacci Series	The Fibonacci Series of the first 8 numbers is ?	[0, 1, 1, 2, 3, 5, 8, 13]	fibonacci_series
57	Trigonometric Values	What is tan(60)?	√3	basic_trigonometry
58	Sum of Angles of Polygon	Sum of angles of polygon with 5 sides =	540	sum_of_polygon_angles
59	Mean,Standard Deviation,Variance	Find the mean,standard deviation and variance for the data[31, 24, 39, 33, 38, 19, 25, 27, 44, 42, 41, 46, 42, 23, 40]	The Mean is 34.266666666666666 , Standard Deviation is 72.19555555555556, Variance is 8.496796782055904	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 15 m =	14137.166941154068 m^3	volume_sphere
62	nth Fibonacci number	What is the 67th Fibonacci number?	44945570212853	nth_fibonacci_number
63	Profit or Loss Percent	Profit percent when CP = 265 and SP = 414 is:	56.22641509433962	profit_loss_percent
64	Binary to Hexidecimal	01011010	0x5a	binary_to_hex
65	Multiplication of 2 complex numbers	(16+6j) * (16-1j) =	(262+80j)	multiply_complex_numbers
66	Geometric Progression	For the given GP [6, 66, 726, 7986, 87846, 966306] ,Find the value of a,common ratio,7th term value, sum upto 9th term	The value of a is 6, common ratio is 11 , 7th term is 10629366 , sum upto 9th term is 1414768614.0	geometric_progression
67	Geometric Mean of N Numbers	Geometric mean of 4 numbers 2 , 89 , 20 , 28 =	(28920*28)^(1/4) = 17.76855076168954	geometric_mean
68	Harmonic Mean of N Numbers	Harmonic mean of 4 numbers 87 , 71 , 16 , 70 =	4/((1/87) + (1/71) + (1/16) + (1/70)) = 39.07605671988274	harmonic_mean
69	Euclidian norm or L2 norm of a vector	Euclidian norm or L2 norm of the vector[253.2276484990589, 544.0394196945418, 597.5968973121911, 717.9622962318546, 957.6520745649788, 708.5846670633276, 239.4894009576103, 228.68124684005775, 265.32483186305046, 796.0656747554028, 766.9152459101839, 713.2680222516796, 524.3978484738747] is:	2199.444531958941	euclidian_norm
70	Angle between 2 vectors	angle between the vectors [246.46961093317077, 412.8494069125837, 106.09642846104339, 23.89765614826034, 130.68657183702646, 183.13041820744112] and [225.49849035856806, 61.54856418679755, 699.5445055934789, 611.9211383202619, 482.6151709173074, 938.6436827654591] is:	NaN	angle_btw_vectors
71	Absolute difference between two numbers	Absolute difference between numbers 2 and -65 =	67	absolute_difference
72	Dot Product of 2 Vectors	[11, 9, 20] . [19, 5, 18] =	614	vector_dot
73	Binary 2's Complement	2's complement of 10 =	10	binary_2s_complement
74	Inverse of a Matrix	Inverse of Matrix Matrix(65, 37, 5], [41, 27, 97], [0, 95, 3) is:	Matrix(4567/289393, -14/22261, -1727/289393], [123/578786, -15/44522, 3050/289393], [-3895/578786, 475/44522, -119/289393)	invert_matrix
75	Area of a Sector	Given radius, 19 and angle, 313. Find the area of the sector.	Area of sector = 986.04994	sector_area
76	Mean and Median	Given the series of numbers [49, 95, 98, 93, 53, 59, 47, 80, 56, 85]. find the arithmatic mean and mdian of the series	Arithmetic mean of the series is 71.5 and Arithmetic median of this series is 69.5	mean_median
77	Determinant to 2x2 Matrix	Det(91, 9], [56, 75) =	6321	int_matrix_22_determinant
78	Compound Interest	Compound interest for a principle amount of 6617 dollars, 1% rate of interest and for a time period of 7 year is =	7094.32	compound_interest
79	Decimal to Hexadecimal	Binary of 908=	0x38c	decimal_to_hexadeci
80	Percentage of a number	What is 11% of 98?	Required percentage = 10.78%	percentage
81	Celsius To Fahrenheit	Convert -16 degrees Celsius to degrees Fahrenheit =	3.1999999999999993	celsius_to_fahrenheit
82	AP Term Calculation	Find the term number 46 of the AP series: -66, -141, -216 ...	-3441	arithmetic_progression_term
83	AP Sum Calculation	Find the sum of first 20 terms of the AP series: 25, -30, -85 ...	-9950.0	arithmetic_progression_sum
84	Converts decimal to octal	The decimal number 2270 in Octal is:	0o4336	decimal_to_octal
85	Converts decimal to Roman Numerals	The number 766 in Roman Numerals is:	DCCLXVI	decimal_to_roman_numerals
86	Degrees to Radians	Angle 203 in radians is =	3.54	degree_to_rad
87	Radians to Degrees	Angle 2 in degrees is =	114.59	radian_to_deg
88	Differentiation	differentiate w.r.t x : d(tan(x)+7*x^3)/dx	21*x^2 + tan(x)^2 + 1	differentiation
89	Definite Integral of Quadratic Equation	The definite integral within limits 0 to 1 of the equation 85x^2 + 48x + 44 is =	96.3333	definite_integral
90	isprime	93	False	is_prime
91	Binary Coded Decimal to Integer	Integer of Binary Coded Decimal 2 is =	10065	bcd_to_decimal
92	Complex To Polar Form	rexp(itheta) =	7.62exp(i1.17)	complex_to_polar
93	Union,Intersection,Difference of Two Sets	Given the two sets a={2, 5} ,b={8, 9, 4, 1}.Find the Union,intersection,a-b,b-a and symmetric difference	Union is {1, 2, 4, 5, 8, 9},Intersection is set(), a-b is {2, 5},b-a is {8, 9, 4, 1}, Symmetric difference is {1, 2, 4, 5, 8, 9}	set_operation