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+12=	18	addition
1	Subtraction	17-11=	6	subtraction
2	Multiplication	99*1=	99	multiplication
3	Division	23/29=	0.7931034482758621	division
4	Binary Complement 1s	1000=	0111	binary_complement_1s
5	Modulo Division	80%49=	31	modulo_division
6	Square Root	sqrt(49)=	7	square_root
7	Power Rule Differentiation	10x^9	90x^8	power_rule_differentiation
8	Square	13^2=	169	square
9	LCM (Least Common Multiple)	LCM of 14 and 12 =	84	lcm
10	GCD (Greatest Common Denominator)	GCD of 5 and 19 =	1	gcd
11	Basic Algebra	4x + 1 = 2	1/4	basic_algebra
12	Logarithm	log2(128)	7	log
13	Easy Division	264/11 =	24	int_division
14	Decimal to Binary	Binary of 96=	1100000	decimal_to_binary
15	Binary to Decimal	1011	11	binary_to_decimal
16	Fraction Division	(8/6)/(8/1)	1/6	divide_fractions
17	Integer Multiplication with 2x2 Matrix	2 * 9, 9], [6, 5 =	18,18],[12,10	multiply_int_to_22_matrix
18	Area of Triangle	Area of triangle with side lengths: 16 9 3 =	(2.402930536500827e-15+39.242833740697165j)	area_of_triangle
19	Triangle exists check	Does triangle with sides 37, 37 and 44 exist?	Yes	valid_triangle
20	Midpoint of the two point	(-16,19),(-4,10)=	(-10.0,14.5)	midpoint_of_two_points
21	Factoring Quadratic	x^2+x-42	(x+7)(x-6)	factoring
22	Third Angle of Triangle	Third angle of triangle with angles 8 and 77 =	95	third_angle_of_triangle
23	Solve a System of Equations in R^2	-3x - 2y = 23, 7x + 8y = -87	x = -1, y = -10	system_of_equations
24	Distance between 2 points	Find the distance between (17, 10) and (15, 9)	sqrt(5)	distance_two_points
25	Pythagorean Theorem	The hypotenuse of a right triangle given the other two lengths 7 and 13 =	14.76	pythagorean_theorem
26	Linear Equations	-10x + -17y = 373
17x + -17y = 238	x = -5, y = -19	linear_equations
27	Prime Factorisation	Find prime factors of 76	[2, 2, 19]	prime_factors
28	Fraction Multiplication	(8/3)*(10/1)	80/3	fraction_multiplication
29	Angle of a Regular Polygon	Find the angle of a regular polygon with 3 sides	60.0	angle_regular_polygon
30	Combinations of Objects	Number of combinations from 17 objects picked 2 at a time	136	combinations
31	Factorial	0! =	1	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 = 20m, 13m, 15m is	1510 m^2	surface_area_cuboid
34	Surface Area of Cylinder	Surface area of cylinder with height = 18m and radius = 12m is	2261 m^2	surface_area_cylinder
35	Volum of Cube	Volume of cube with side = 11m is	1331 m^3	volume_cube
36	Volume of Cuboid	Volume of cuboid with sides = 14m, 8m, 8m is	896 m^3	volume_cuboid
37	Volume of cylinder	Volume of cylinder with height = 33m and radius = 9m is	8397 m^3	volume_cylinder
38	Surface Area of cone	Surface area of cone with height = 3m and radius = 9m is	522 m^2	surface_area_cone
39	Volume of cone	Volume of cone with height = 31m and radius = 1m is	32 m^3	volume_cone
40	Common Factors	Common Factors of 5 and 90 =	[1, 5]	common_factors
41	Intersection of Two Lines	Find the point of intersection of the two lines: y = 9/6x - 4 and y = -8/6x + 1	(30/17, -23/17)	intersection_of_two_lines
42	Permutations	Number of Permutations from 19 objects picked 1 at a time =	19	permutation
43	Cross Product of 2 Vectors	[-3, -11, -6] X [2, 18, 11] =	[-13, 21, -32]	vector_cross
44	Compare Fractions	Which symbol represents the comparison between 10/4 and 6/9?	>	compare_fractions
45	Simple Interest	Simple interest for a principle amount of 9924 dollars, 2% rate of interest and for a time period of 2 years is =	396.96	simple_interest
46	Multiplication of two matrices	Multiply 8 3 -7 -3 3 -10 -9 4 4 and 8 8 -3 9 4 1 -2 -7 -7	105 125 28 23 58 82 -44 -84 3	matrix_multiplication
47	Cube Root	cuberoot of 194 upto 2 decimal places is:	5.79	cube_root
48	Power Rule Integration	8x^1 + 2x^1 + 8x^8 + 3x^3	(8/1)x^2 + (2/1)x^2 + (8/8)x^9 + (3/3)x^4 + c	power_rule_integration
49	Fourth Angle of Quadrilateral	Fourth angle of quadrilateral with angles 179 , 29, 29 =	123	fourth_angle_of_quadrilateral
50	Quadratic Equation	Zeros of the Quadratic Equation 77x^2+91x+14=0	[-0.18, -1.0]	quadratic_equation
51	HCF (Highest Common Factor)	HCF of 11 and 1 =	1	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	16^8 =	4294967296	exponentiation
54	Confidence interval For sample S	The confidence interval for sample [208, 221, 294, 275, 252, 253, 236, 216, 290, 296, 227, 251, 266, 277, 263, 268, 260, 248, 214, 298, 284, 293, 213, 264, 206, 238, 211, 203, 276, 279, 285, 220, 222, 299] with 90% confidence is	(261.88480835505726, 244.3504857625898)	confidence_interval
55	Comparing surds	Fill in the blanks 68^(1/3) _ 84^(1/8)	>	surds_comparison
56	Fibonacci Series	The Fibonacci Series of the first 9 numbers is ?	[0, 1, 1, 2, 3, 5, 8, 13, 21]	fibonacci_series
57	Trigonometric Values	What is sin(90)?	1	basic_trigonometry
58	Sum of Angles of Polygon	Sum of angles of polygon with 8 sides =	1080	sum_of_polygon_angles
59	Mean,Standard Deviation,Variance	Find the mean,standard deviation and variance for the data[35, 18, 28, 21, 50, 17, 30, 33, 14, 41, 35, 31, 7, 28, 8]	The Mean is 26.4 , Standard Deviation is 137.17333333333335, Variance is 11.7121020031988	data_summary
60	Surface Area of Sphere	Surface area of Sphere with radius = 12m is	1809.5573684677208 m^2	surface_area_sphere
61	Volume of Sphere	Volume of sphere with radius 61 m =	950775.7894726198 m^3	volume_sphere
62	nth Fibonacci number	What is the 98th Fibonacci number?	135301852344707186688	nth_fibonacci_number
63	Profit or Loss Percent	Loss percent when CP = 948 and SP = 729 is:	23.10126582278481	profit_loss_percent
64	Binary to Hexidecimal	10101010	0xaa	binary_to_hex
65	Multiplication of 2 complex numbers	(-16+11j) * (7+19j) =	(-321-227j)	multiply_complex_numbers
66	Geometric Progression	For the given GP [8, 56, 392, 2744, 19208, 134456] ,Find the value of a,common ratio,9th term value, sum upto 8th term	The value of a is 8, common ratio is 7 , 9th term is 46118408 , sum upto 8th term is 7686400.0	geometric_progression
67	Geometric Mean of N Numbers	Geometric mean of 4 numbers 24 , 6 , 17 , 34 =	(24617*34)^(1/4) = 16.985274997011718	geometric_mean
68	Harmonic Mean of N Numbers	Harmonic mean of 3 numbers 72 , 17 and 14 =	3/((1/72) + (1/17) + (1/14)) = 20.812955465587045	harmonic_mean
69	Euclidian norm or L2 norm of a vector	Euclidian norm or L2 norm of the vector[959.2746467619136, 621.8392214146113, 922.8483095629905, 386.90198896263786, 998.2816134301269, 924.4767901166847, 526.4451342917619, 540.6365528762716, 921.5612942821017, 507.86794502436186] is:	2415.8011015687784	euclidian_norm
70	Angle between 2 vectors	angle between the vectors [828.7073706479772, 912.8938227679938, 154.5891010528101, 789.3839240933659, 470.5951408141951, 365.0311186930294, 492.5244778860853, 433.2880676781922, 498.50124161369234] and [209.0406231603238, 64.7709335985529, 413.202808762719, 1.9226444773620122, 215.67348315298196, 668.6663275149825, 99.38710508880888, 74.18515931735026, 384.83132929263707] is:	NaN	angle_btw_vectors
71	Absolute difference between two numbers	Absolute difference between numbers 18 and 88 =	70	absolute_difference
72	Dot Product of 2 Vectors	[5, 9, -5] . [11, 19, -16] =	306	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(37, 41, 67], [47, 57, 55], [73, 23, 22) is:	Matrix(1/7686, -71/9394, 782/42273], [-271/7686, 453/9394, -557/42273], [20/549, -17/671, -13/6039)	invert_matrix
75	Area of a Sector	Given radius, 39 and angle, 299. Find the area of the sector.	Area of sector = 3968.69546	sector_area
76	Mean and Median	Given the series of numbers [2, 78, 43, 59, 84, 10, 17, 62, 44, 94]. find the arithmatic mean and mdian of the series	Arithmetic mean of the series is 49.3 and Arithmetic median of this series is 51.5	mean_median
77	Determinant to 2x2 Matrix	Det(74, 66], [92, 76) =	-448	int_matrix_22_determinant
78	Compound Interest	Compound Interest for a principle amount of 8675 dollars, 10% rate of interest and for a time period of 3 compounded monthly is =	8675.0	compound_interest
79	Decimal to Hexadecimal	Binary of 533=	0x215	decimal_to_hexadeci
80	Percentage of a number	What is 46% of 69?	Required percentage = 31.74%	percentage
81	Celsius To Fahrenheit	Convert -43 degrees Celsius to degrees Fahrenheit =	-45.400000000000006	celsius_to_fahrenheit
82	AP Term Calculation	Find the term number 67 of the AP series: 3, 99, 195 ...	6339	arithmetic_progression_term
83	AP Sum Calculation	Find the sum of first 16 terms of the AP series: 60, -36, -132 ...	-10560.0	arithmetic_progression_sum
84	Converts decimal to octal	The decimal number 3881 in Octal is:	0o7451	decimal_to_octal
85	Converts decimal to Roman Numerals	The number 2606 in Roman Numerals is:	MMDCVI	decimal_to_roman_numerals
86	Degrees to Radians	Angle 55 in radians is =	0.96	degree_to_rad
87	Radians to Degrees	Angle 2 in degrees is =	114.59	radian_to_deg