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	31+3=	34	addition
1	Subtraction	69-64=	5	subtraction
2	Multiplication	88*1=	88	multiplication
3	Division	77/8=	9.625	division
4	Binary Complement 1s	11100=	00011	binary_complement_1s
5	Modulo Division	40%27=	13	modulo_division
6	Square Root	sqrt(121)=	11	square_root
7	Power Rule Differentiation	7x^3	21x^2	power_rule_differentiation
8	Square	13^2=	169	square
9	LCM (Least Common Multiple)	LCM of 15 and 9 =	45	lcm
10	GCD (Greatest Common Denominator)	GCD of 4 and 20 =	4	gcd
11	Basic Algebra	10x + 8 = 9	1/10	basic_algebra
12	Logarithm	log3(9)	2	log
13	Easy Division	54/3 =	18	int_division
14	Decimal to Binary	Binary of 82=	1010010	decimal_to_binary
15	Binary to Decimal	11	3	binary_to_decimal
16	Fraction Division	(7/9)/(9/8)	56/81	divide_fractions
17	Integer Multiplication with 2x2 Matrix	5 * 3, 8], [4, 7 =	15,40],[20,35	multiply_int_to_22_matrix
18	Area of Triangle	Area of triangle with side lengths: 4 10 12 =	18.734993995195193	area_of_triangle
19	Triangle exists check	Does triangle with sides 39, 48 and 2 exist?	No	valid_triangle
20	Midpoint of the two point	(-17,18),(-10,20)=	(-13.5,19.0)	midpoint_of_two_points
21	Factoring Quadratic	x^2-16x+60	(x-10)(x-6)	factoring
22	Third Angle of Triangle	Third angle of triangle with angles 35 and 52 =	93	third_angle_of_triangle
23	Solve a System of Equations in R^2	4x + 2y = -22, 5x + 6y = -31	x = -5, y = -1	system_of_equations
24	Distance between 2 points	Find the distance between (2, -19) and (7, -4)	sqrt(250)	distance_two_points
25	Pythagorean Theorem	The hypotenuse of a right triangle given the other two lengths 13 and 9 =	15.81	pythagorean_theorem
26	Linear Equations	18x + -12y = -42, 9x + 7y = 161	x = 7, y = 14	linear_equations
27	Prime Factorisation	Find prime factors of 45	[3, 3, 5]	prime_factors
28	Fraction Multiplication	(7/5)*(3/1)	21/5	fraction_multiplication
29	Angle of a Regular Polygon	Find the angle of a regular polygon with 16 sides	157.5	angle_regular_polygon
30	Combinations of Objects	Number of combinations from 14 objects picked 5 at a time	2002	combinations
31	Factorial	0! =	1	factorial
32	Surface Area of Cube	Surface area of cube with side = 3m is	54 m^2	surface_area_cube
33	Surface Area of Cuboid	Surface area of cuboid with sides = 7m, 2m, 4m is	100 m^2	surface_area_cuboid
34	Surface Area of Cylinder	Surface area of cylinder with height = 12m and radius = 3m is	282 m^2	surface_area_cylinder
35	Volum of Cube	Volume of cube with side = 19m is	6859 m^3	volume_cube
36	Volume of Cuboid	Volume of cuboid with sides = 8m, 9m, 10m is	720 m^3	volume_cuboid
37	Volume of cylinder	Volume of cylinder with height = 13m and radius = 4m is	653 m^3	volume_cylinder
38	Surface Area of cone	Surface area of cone with height = 46m and radius = 1m is	147 m^2	surface_area_cone
39	Volume of cone	Volume of cone with height = 35m and radius = 10m is	3665 m^3	volume_cone
40	Common Factors	Common Factors of 71 and 25 =	[1]	common_factors
41	Intersection of Two Lines	Find the point of intersection of the two lines: y = -7x + 9 and y = 0/3x - 10	(19/7, -10)	intersection_of_two_lines
42	Permutations	Number of Permutations from 20 objects picked 8 at a time =	5079110400	permutation
43	Cross Product of 2 Vectors	[-4, 4, -3] X [-6, 6, 14] =	[74, 74, 0]	vector_cross
44	Compare Fractions	Which symbol represents the comparison between 6/1 and 6/2?	>	compare_fractions
45	Simple Interest	Simple interest for a principle amount of 2266 dollars, 8% rate of interest and for a time period of 6 years is =	1087.68	simple_interest
46	Multiplication of two matrices	Multiply 6 9 -1 6 6 10 6 0 -8 -6 -7 -9 and 9 10 8 -2 -3 -4 -9 5 7 8 -8 -1	93 -20 -1 -20 60 50 -69 -25 -80	matrix_multiplication
47	Cube Root	cuberoot of 196 upto 2 decimal places is:	5.81	cube_root
48	Power Rule Integration	6x^4	(6/4)x^5 + c	power_rule_integration
49	Fourth Angle of Quadrilateral	Fourth angle of quadrilateral with angles 175 , 22, 60 =	103	fourth_angle_of_quadrilateral
50	Quadratic Equation	Zeros of the Quadratic Equation 64x^2+159x+78=0	[-0.67, -1.81]	quadratic_equation
51	HCF (Highest Common Factor)	HCF of 9 and 17 =	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 5 =	4/36	dice_sum_probability
53	Exponentiation	18^1 =	18	exponentiation
54	Confidence interval For sample S	The confidence interval for sample [277, 237, 229, 258, 291, 278, 274, 242, 267, 287, 288, 293, 208, 273, 255, 259, 263, 269, 265, 210, 281, 276, 256, 238, 271, 297, 202, 252] with 95% confidence is	(269.92602102647436, 251.21683611638275)	confidence_interval
55	Comparing surds	Fill in the blanks 58^(1/2) _ 44^(1/1)	<	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 cos(90)?	0	basic_trigonometry
58	Sum of Angles of Polygon	Sum of angles of polygon with 11 sides =	1620	sum_of_polygon_angles
59	Mean,Standard Deviation,Variance	Find the mean,standard deviation and variance for the data[11, 43, 11, 20, 7, 47, 42, 16, 37, 29, 39, 11, 36, 25, 49]	The Mean is 28.2 , Standard Deviation is 200.95999999999998, Variance is 14.17603611733548	data_summary
60	Surface Area of Sphere	Surface area of Sphere with radius = 4m is	201.06192982974676 m^2	surface_area_sphere
61	Volume of Sphere	Volume of sphere with radius 66 m =	1204260.4287152681 m^3	volume_sphere
62	nth Fibonacci number	What is the 96th Fibonacci number?	51680708854858489856	nth_fibonacci_number
63	Profit or Loss Percent	Profit percent when CP = 591 and SP = 796 is:	34.686971235194584	profit_loss_percent
64	Binary to Hexidecimal	101010111	0x157	binary_to_hex
65	Multiplication of 2 complex numbers	(6+16j) * (15-11j) =	(266+174j)	multiply_complex_numbers
66	Geometric Progression	For the given GP [5, 30, 180, 1080, 6480, 38880] ,Find the value of a,common ratio,6th term value, sum upto 8th term	The value of a is 5, common ratio is 6 , 6th term is 38880 , sum upto 8th term is 1679615.0	geometric_progression
67	Geometric Mean of N Numbers	Geometric mean of 4 numbers 64 , 71 , 42 , 69 =	(647142*69)^(1/4) = 60.239890804783805	geometric_mean
68	Harmonic Mean of N Numbers	Harmonic mean of 2 numbers 13 and 89 =	2/((1/13) + (1/89)) = 22.68627450980392	harmonic_mean
69	Euclidian norm or L2 norm of a vector	Euclidian norm or L2 norm of the vector[776.6691324098483, 606.5799343351656, 285.46422221982624, 372.01270687089004, 86.18433302762118, 939.355471377651, 202.1465319226168, 932.3553335024733, 275.1276478308532, 160.88380854198425] is:	1758.5739637031488	euclidian_norm
70	Angle between 2 vectors	angle between the vectors [601.4612452378941, 933.4356902778246, 438.03974725076324, 281.0471724516086] and [402.0844562515671, 707.7656850759612, 547.0834759350798, 897.3106790199977] is:	NaN	angle_btw_vectors
71	Absolute difference between two numbers	Absolute difference between numbers 67 and 24 =	43	absolute_difference
72	Dot Product of 2 Vectors	[12, -8, 13] . [16, -6, 19] =	487	vector_dot
73	Binary 2's Complement	2's complement of =		binary_2s_complement
74	Inverse of a Matrix	Inverse of Matrix Matrix(52, 89, 11], [44, 72, 61], [17, 87, 7) is:	Matrix(1601/52077, -334/156231, -4637/156231], [-81/17359, -59/52077, 896/52077], [-868/52077, 3011/156231, 172/156231)	invert_matrix
75	Area of a Sector	Given radius, 4 and angle, 16. Find the area of the sector.	Area of sector = 2.23402	sector_area
76	Mean and Median	Given the series of numbers [90, 44, 84, 5, 79, 31, 78, 89, 56, 34]. find the arithmatic mean and mdian of the series	Arithmetic mean of the series is 59.0 and Arithmetic median of this series is 67.0	mean_median
77	Determinant to 2x2 Matrix	Det(0, 19], [73, 25) =	-1387	int_matrix_22_determinant
78	Compound Interest	Compound Interest for a principle amount of 7422 dollars, 10% rate of interest and for a time period of 2 compounded monthly is =	7422.0	compound_interest
79	Decimal to Hexadecimal	Binary of 946=	0x3b2	decimal_to_hexadeci
80	Percentage of a number	What is 94% of 88?	Required percentage = 82.72%	percentage
81	Celsius To Fahrenheit	Convert 14 degrees Celsius to degrees Fahrenheit =	57.2	celsius_to_fahrenheit
82	AP Term Calculation	Find the term number 48 of the AP series: 33, 9, -15 ...	-1095	arithmetic_progression_term
83	AP Sum Calculation	Find the sum of first 12 terms of the AP series: 26, 67, 108 ...	3018.0	arithmetic_progression_sum
84	Converts decimal to octal	The decimal number 2394 in Octal is:	0o4532	decimal_to_octal
85	Converts decimal to Roman Numerals	The number 25 in Roman Numerals is:	XXV	decimal_to_roman_numerals
86	Degrees to Radians	Angle 9 in radians is =	0.16	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(sec(x)+6*x^4)/dx	24*x^3 + tan(x)*sec(x)	differentiation