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	39+28=	67	addition
1	Subtraction	46-1=	45	subtraction
2	Multiplication	70*1=	70	multiplication
3	Division	79/83=	0.9518072289156626	division
4	Binary Complement 1s	00=	11	binary_complement_1s
5	Modulo Division	7%99=	7	modulo_division
6	Square Root	sqrt(36)=	6	square_root
7	Power Rule Differentiation	1x^3 + 6x^9 + 4x^9 + 2x^3 + 7x^8	3x^2 + 54x^8 + 36x^8 + 6x^2 + 56x^7	power_rule_differentiation
8	Square	15^2=	225	square
9	LCM (Least Common Multiple)	LCM of 16 and 10 =	80	lcm
10	GCD (Greatest Common Denominator)	GCD of 14 and 13 =	1	gcd
11	Basic Algebra	7x + 2 = 6	4/7	basic_algebra
12	Logarithm	log2(16)	4	log
13	Easy Division	345/15 =	23	int_division
14	Decimal to Binary	Binary of 4=	100	decimal_to_binary
15	Binary to Decimal	0	0	binary_to_decimal
16	Fraction Division	(3/10)/(3/5)	1/2	divide_fractions
17	Integer Multiplication with 2x2 Matrix	5 * 8, 0], [7, 3 =	40,0],[35,15	multiply_int_to_22_matrix
18	Area of Triangle	Area of triangle with side lengths: 15 15 6 =	44.090815370097204	area_of_triangle
19	Triangle exists check	Does triangle with sides 15, 42 and 1 exist?	No	valid_triangle
20	Midpoint of the two point	(-10,19),(-11,-11)=	(-10.5,4.0)	midpoint_of_two_points
21	Factoring Quadratic	x^2-4x-12	(x-6)(x+2)	factoring
22	Third Angle of Triangle	Third angle of triangle with angles 71 and 59 =	50	third_angle_of_triangle
23	Solve a System of Equations in R^2	-5x - 7y = -66, -x + 5y = 6	x = 9, y = 3	system_of_equations
24	Distance between 2 points	Find the distance between (-8, -11) and (5, -4)	sqrt(218)	distance_two_points
25	Pythagorean Theorem	The hypotenuse of a right triangle given the other two lengths 17 and 19 =	25.50	pythagorean_theorem
26	Linear Equations	17x + -8y = -154
-15x + 13y = 23	x = -18, y = -19	linear_equations
27	Prime Factorisation	Find prime factors of 106	[2, 53]	prime_factors
28	Fraction Multiplication	(3/9)*(8/4)	2/3	fraction_multiplication
29	Angle of a Regular Polygon	Find the angle of a regular polygon with 20 sides	162.0	angle_regular_polygon
30	Combinations of Objects	Number of combinations from 14 objects picked 6 at a time	3003	combinations
31	Factorial	3! =	6	factorial
32	Surface Area of Cube	Surface area of cube with side = 16m is	1536 m^2	surface_area_cube
33	Surface Area of Cuboid	Surface area of cuboid with sides = 14m, 4m, 4m is	256 m^2	surface_area_cuboid
34	Surface Area of Cylinder	Surface area of cylinder with height = 15m and radius = 4m is	477 m^2	surface_area_cylinder
35	Volum of Cube	Volume of cube with side = 3m is	27 m^3	volume_cube
36	Volume of Cuboid	Volume of cuboid with sides = 6m, 1m, 4m is	24 m^3	volume_cuboid
37	Volume of cylinder	Volume of cylinder with height = 3m and radius = 11m is	1140 m^3	volume_cylinder
38	Surface Area of cone	Surface area of cone with height = 22m and radius = 14m is	1762 m^2	surface_area_cone
39	Volume of cone	Volume of cone with height = 10m and radius = 14m is	2052 m^3	volume_cone
40	Common Factors	Common Factors of 69 and 45 =	[1, 3]	common_factors
41	Intersection of Two Lines	Find the point of intersection of the two lines: y = 10x - 4 and y = 6/6x + 10	(14/9, 104/9)	intersection_of_two_lines
42	Permutations	Number of Permutations from 18 objects picked 3 at a time =	4896	permutation
43	Cross Product of 2 Vectors	[1, 3, 19] X [-1, 5, 4] =	[-83, -23, 8]	vector_cross
44	Compare Fractions	Which symbol represents the comparison between 1/10 and 9/6?	<	compare_fractions
45	Simple Interest	Simple interest for a principle amount of 3365 dollars, 8% rate of interest and for a time period of 2 years is =	538.4	simple_interest
46	Multiplication of two matrices	Multiply 1 2 -6 -10 -7 -4 and 10 -7 0 -8 -6 -8 4 4 -5	-30 -43 14 -60 96 76	matrix_multiplication
47	Cube Root	cuberoot of 353 upto 2 decimal places is:	7.07	cube_root
48	Power Rule Integration	7x^4 + 10x^3	(7/4)x^5 + (10/3)x^4 + c	power_rule_integration
49	Fourth Angle of Quadrilateral	Fourth angle of quadrilateral with angles 52 , 119, 98 =	91	fourth_angle_of_quadrilateral
50	Quadratic Equation	Zeros of the Quadratic Equation 71x^2+167x+59=0	[-0.43, -1.92]	quadratic_equation
51	HCF (Highest Common Factor)	HCF of 2 and 8 =	2	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 2 =	1/36	dice_sum_probability
53	Exponentiation	6^10 =	60466176	exponentiation
54	Confidence interval For sample S	The confidence interval for sample [241, 229, 246, 299, 220, 249, 289, 214, 280, 275, 276, 278, 202, 203, 256, 235, 294, 263, 233, 223, 206, 295, 216, 242] with 80% confidence is	(256.54200290575125, 240.45799709424878)	confidence_interval
55	Comparing surds	Fill in the blanks 8^(1/6) _ 38^(1/4)	<	surds_comparison
56	Fibonacci Series	The Fibonacci Series of the first 13 numbers is ?	[0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144]	fibonacci_series
57	Trigonometric Values	What is cos(0)?	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[40, 14, 47, 30, 6, 32, 25, 32, 42, 34, 34, 37, 22, 30, 31]	The Mean is 30.4 , Standard Deviation is 102.77333333333331, Variance is 10.137718349477526	data_summary
60	Surface Area of Sphere	Surface area of Sphere with radius = 1m is	12.566370614359172 m^2	surface_area_sphere
61	Volume of Sphere	Volume of sphere with radius 98 m =	3942455.8304233127 m^3	volume_sphere
62	nth Fibonacci number	What is the 26th Fibonacci number?	121393	nth_fibonacci_number
63	Profit or Loss Percent	Profit percent when CP = 171 and SP = 313 is:	83.04093567251462	profit_loss_percent
64	Binary to Hexidecimal	1011101	0x5d	binary_to_hex
65	Multiplication of 2 complex numbers	(11+3j) * (2+18j) =	(-32+204j)	multiply_complex_numbers
66	Geometric Progression	For the given GP [8, 56, 392, 2744, 19208, 134456] ,Find the value of a,common ratio,7th term value, sum upto 8th term	The value of a is 8, common ratio is 7 , 7th term is 941192 , sum upto 8th term is 7686400.0	geometric_progression
67	Geometric Mean of N Numbers	Geometric mean of 3 numbers 47 , 92 and 3 =	(47923)^(1/3) = 23.49645336547587	geometric_mean
68	Harmonic Mean of N Numbers	Harmonic mean of 3 numbers 94 , 92 and 59 =	3/((1/94) + (1/92) + (1/59)) = 78.00917337682192	harmonic_mean
69	Euclidian norm or L2 norm of a vector	Euclidian norm or L2 norm of the vector[304.9779176267893, 837.4224202657908] is:	891.228276146907	euclidian_norm
70	Angle between 2 vectors	angle between the vectors [673.5350704033146, 195.45799005765386, 92.93464829626352, 116.63589535434215, 594.8238225788838, 345.12804915831896, 421.4756162395643, 718.6449275827789, 134.11947817433213, 573.4174565052257, 96.96537158190588, 188.69415889717357] and [520.2618389520298, 141.25763773504042, 998.0680511901267, 88.96111274282836, 131.27448267605467, 196.35332202572542, 63.657368381112356, 58.100728119799825, 818.3595663049074, 910.4545383236834, 173.11410173656193, 517.355465521104] is:	NaN	angle_btw_vectors
71	Absolute difference between two numbers	Absolute difference between numbers 95 and 92 =	3	absolute_difference
72	Dot Product of 2 Vectors	[-4, 20, 2] . [8, -14, -14] =	-340	vector_dot
73	Binary 2's Complement	2's complement of 111101001 =	10111	binary_2s_complement
74	Inverse of a Matrix	Inverse of Matrix Matrix(65, 7, 75], [69, 31, 73], [67, 15, 8) is:	Matrix(847/102832, -1069/102832, 907/51416], [-4339/102832, 4505/102832, -215/51416], [521/51416, 253/51416, -383/25708)	invert_matrix
75	Area of a Sector	Given radius, 20 and angle, 72. Find the area of the sector.	Area of sector = 251.32741	sector_area
76	Mean and Median	Given the series of numbers [59, 80, 5, 46, 57, 30, 13, 3, 54, 48]. find the arithmatic mean and mdian of the series	Arithmetic mean of the series is 39.5 and Arithmetic median of this series is 47.0	mean_median
77	Determinant to 2x2 Matrix	Det(17, 94], [26, 42) =	-1730	int_matrix_22_determinant
78	Compound Interest	Compound Interest for a principle amount of 1069 dollars, 8% rate of interest and for a time period of 3 compounded monthly is =	1069.0	compound_interest
79	Decimal to Hexadecimal	Binary of 175=	0xaf	decimal_to_hexadeci
80	Percentage of a number	What is 30% of 26?	Required percentage = 7.80%	percentage
81	Celsius To Fahrenheit	Convert 51 degrees Celsius to degrees Fahrenheit =	123.8	celsius_to_fahrenheit
82	AP Term Calculation	Find the term number 13 of the AP series: -56, -129, -202 ...	-932	arithmetic_progression_term
83	AP Sum Calculation	Find the sum of first 93 terms of the AP series: -27, -72, -117 ...	-195021.0	arithmetic_progression_sum
84	Converts decimal to octal	The decimal number 1871 in Octal is:	0o3517	decimal_to_octal
85	Converts decimal to Roman Numerals	The number 3868 in Roman Numerals is:	MMMDCCCLXVIII	decimal_to_roman_numerals
86	Degrees to Radians	Angle 99 in radians is =	1.73	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(exp(x)+4*x^(-3))/dx	exp(x) - 12/x^4	differentiation