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	42+24=	66	addition
1	Subtraction	3-0=	3	subtraction
2	Multiplication	69*0=	0	multiplication
3	Division	98/90=	1.0888888888888888	division
4	Binary Complement 1s	100=	011	binary_complement_1s
5	Modulo Division	37%49=	37	modulo_division
6	Square Root	sqrt(25)=	5	square_root
7	Power Rule Differentiation	3x^10 + 1x^10 + 3x^9 + 4x^3 + 8x^7	30x^9 + 10x^9 + 27x^8 + 12x^2 + 56x^6	power_rule_differentiation
8	Square	6^2=	36	square
9	LCM (Least Common Multiple)	LCM of 8 and 12 =	24	lcm
10	GCD (Greatest Common Denominator)	GCD of 11 and 19 =	1	gcd
11	Basic Algebra	1x + 4 = 7	3	basic_algebra
12	Logarithm	log2(64)	6	log
13	Easy Division	240/15 =	16	int_division
14	Decimal to Binary	Binary of 46=	101110	decimal_to_binary
15	Binary to Decimal	110101	53	binary_to_decimal
16	Fraction Division	(3/5)/(6/10)	1	divide_fractions
17	Integer Multiplication with 2x2 Matrix	7 * 6, 9], [0, 9 =	42,63],[0,63	multiply_int_to_22_matrix
18	Area of Triangle	Area of triangle with side lengths: 18 12 5 =	(1.5018315853130168e-15+24.526771087935728j)	area_of_triangle
19	Triangle exists check	Does triangle with sides 43, 37 and 16 exist?	Yes	valid_triangle
20	Midpoint of the two point	(0,10),(3,-19)=	(1.5,-4.5)	midpoint_of_two_points
21	Factoring Quadratic	x^2+4x-5	(x+5)(x-1)	factoring
22	Third Angle of Triangle	Third angle of triangle with angles 37 and 88 =	55	third_angle_of_triangle
23	Solve a System of Equations in R^2	-4x - 7y = -63, x - y = 2	x = 7, y = 5	system_of_equations
24	Distance between 2 points	Find the distance between (18, -18) and (14, 0)	sqrt(340)	distance_two_points
25	Pythagorean Theorem	The hypotenuse of a right triangle given the other two lengths 3 and 14 =	14.32	pythagorean_theorem
26	Linear Equations	-20x + 5y = 200, 3x + -1y = -32	x = -8, y = 8	linear_equations
27	Prime Factorisation	Find prime factors of 70	[2, 5, 7]	prime_factors
28	Fraction Multiplication	(8/3)*(8/4)	16/3	fraction_multiplication
29	Angle of a Regular Polygon	Find the angle of a regular polygon with 19 sides	161.05	angle_regular_polygon
30	Combinations of Objects	Number of combinations from 14 objects picked 9 at a time	2002	combinations
31	Factorial	2! =	2	factorial
32	Surface Area of Cube	Surface area of cube with side = 6m is	216 m^2	surface_area_cube
33	Surface Area of Cuboid	Surface area of cuboid with sides = 6m, 19m, 8m is	628 m^2	surface_area_cuboid
34	Surface Area of Cylinder	Surface area of cylinder with height = 35m and radius = 4m is	980 m^2	surface_area_cylinder
35	Volum of Cube	Volume of cube with side = 6m is	216 m^3	volume_cube
36	Volume of Cuboid	Volume of cuboid with sides = 16m, 8m, 7m is	896 m^3	volume_cuboid
37	Volume of cylinder	Volume of cylinder with height = 37m and radius = 16m is	29757 m^3	volume_cylinder
38	Surface Area of cone	Surface area of cone with height = 5m and radius = 11m is	797 m^2	surface_area_cone
39	Volume of cone	Volume of cone with height = 50m and radius = 13m is	8848 m^3	volume_cone
40	Common Factors	Common Factors of 93 and 71 =	[1]	common_factors
41	Intersection of Two Lines	Find the point of intersection of the two lines: y = -1/5x - 3 and y = -4/6x - 10	(-15, 0)	intersection_of_two_lines
42	Permutations	Number of Permutations from 14 objects picked 4 at a time =	24024	permutation
43	Cross Product of 2 Vectors	[4, 7, -12] X [5, -9, -17] =	[-227, 8, -71]	vector_cross
44	Compare Fractions	Which symbol represents the comparison between 4/6 and 10/9?	<	compare_fractions
45	Simple Interest	Simple interest for a principle amount of 9253 dollars, 9% rate of interest and for a time period of 5 years is =	4163.85	simple_interest
46	Multiplication of two matrices	Multiply 2 0 1 10 5 -8 -7 5 3 1 -7 -6 6 10 4 -1 and -4 1 -2 -10 -2 9 -4 -1 -5 -5 5 -8	-62 51 -89 63 53 -87 36 -22 86 -135 -23 66	matrix_multiplication
47	Cube Root	cuberoot of 556 upto 2 decimal places is:	8.22	cube_root
48	Power Rule Integration	2x^3 + 4x^3	(2/3)x^4 + (4/3)x^4 + c	power_rule_integration
49	Fourth Angle of Quadrilateral	Fourth angle of quadrilateral with angles 69 , 60, 101 =	130	fourth_angle_of_quadrilateral
50	Quadratic Equation	Zeros of the Quadratic Equation 91x^2+183x+84=0	[-0.71, -1.3]	quadratic_equation
51	HCF (Highest Common Factor)	HCF of 4 and 16 =	4	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	dice_sum_probability
53	Exponentiation	7^1 =	7	exponentiation
54	Confidence interval For sample S	The confidence interval for sample [203, 201, 267, 239, 272, 283, 281, 298, 207, 265, 204, 261, 243, 235, 270, 284, 230, 222, 285, 266] with 80% confidence is	(259.5540983014814, 242.04590169851858)	confidence_interval
55	Comparing surds	Fill in the blanks 73^(1/8) _ 4^(1/5)	>	surds_comparison
56	Fibonacci Series	The Fibonacci Series of the first 17 numbers is ?	[0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987]	fibonacci_series
57	Trigonometric Values	What is tan(90)?	∞	basic_trigonometry
58	Sum of Angles of Polygon	Sum of angles of polygon with 9 sides =	1260	sum_of_polygon_angles
59	Mean,Standard Deviation,Variance	Find the mean,standard deviation and variance for the data[35, 27, 43, 8, 30, 14, 16, 35, 29, 17, 6, 19, 5, 34, 40]	The Mean is 23.866666666666667 , Standard Deviation is 147.18222222222218, Variance is 12.13186804338978	data_summary
60	Surface Area of Sphere	Surface area of Sphere with radius = 20m is	5026.548245743669 m^2	surface_area_sphere
61	Volume of Sphere	Volume of sphere with radius 48 m =	463246.68632773653 m^3	volume_sphere
62	nth Fibonacci number	What is the 59th Fibonacci number?	956722026041	nth_fibonacci_number
63	Profit or Loss Percent	Loss percent when CP = 992 and SP = 888 is:	10.483870967741936	profit_loss_percent
64	Binary to Hexidecimal	1001	0x9	binary_to_hex
65	Multiplication of 2 complex numbers	(6+5j) * (19-20j) =	(214-25j)	multiply_complex_numbers
66	Geometric Progression	For the given GP [10, 70, 490, 3430, 24010, 168070] ,Find the value of a,common ratio,6th term value, sum upto 11th term	The value of a is 10, common ratio is 7 , 6th term is 168070 , sum upto 11th term is 3295544570.0	geometric_progression
67	Geometric Mean of N Numbers	Geometric mean of 2 numbers 41 and 89 =	(41*89)^(1/2) = 60.40695324215582	geometric_mean
68	Harmonic Mean of N Numbers	Harmonic mean of 4 numbers 69 , 15 , 41 , 67 =	4/((1/69) + (1/15) + (1/41) + (1/67)) = 33.20189882286996	harmonic_mean
69	Euclidian norm or L2 norm of a vector	Euclidian norm or L2 norm of the vector[956.6848004224083, 711.3170367487223, 320.15804509062485, 424.1248983996525, 721.5190124346516, 94.2612318602214, 995.8301076180039, 80.46895520905917, 797.0886057296584, 923.9911613599512, 511.29812416326956, 358.730114740062, 2.3571520022257486, 218.67122157401798, 506.1431432680296, 413.8900730468059] is:	2363.4212638753684	euclidian_norm
70	Angle between 2 vectors	angle between the vectors [232.30943307265463, 306.39298862783016, 623.8368964487579, 808.2182550343807, 837.7902135238608, 194.4689016385932, 369.28549948572345] and [951.1858436627766, 293.2247329611225, 274.2885808744876, 590.5739827721277, 148.45211877240538, 867.5139830165438, 563.3907757868716] is:	NaN	angle_btw_vectors
71	Absolute difference between two numbers	Absolute difference between numbers 24 and 42 =	18	absolute_difference
72	Dot Product of 2 Vectors	[-8, 10, 0] . [20, 15, -17] =	-10	vector_dot
73	Binary 2's Complement	2's complement of 1110011110 =	1100010	binary_2s_complement
74	Inverse of a Matrix	Inverse of Matrix Matrix(32, 97, 28], [31, 73, 53], [42, 33, 47) is:	Matrix(1682/71213, -3635/71213, 3097/71213], [769/71213, 328/71213, -828/71213], [-2043/71213, 3018/71213, -671/71213)	invert_matrix
75	Area of a Sector	Given radius, 4 and angle, 17. Find the area of the sector.	Area of sector = 2.37365	sector_area
76	Mean and Median	Given the series of numbers [83, 16, 72, 60, 34, 73, 3, 68, 31, 79]. find the arithmatic mean and mdian of the series	Arithmetic mean of the series is 51.9 and Arithmetic median of this series is 64.0	mean_median
77	Determinant to 2x2 Matrix	Det(88, 47], [82, 8) =	-3150	int_matrix_22_determinant
78	Compound Interest	Compound interest for a principle amount of 2841 dollars, 7% rate of interest and for a time period of 5 year is =	3984.65	compound_interest
79	Decimal to Hexadecimal	Binary of 756=	0x2f4	decimal_to_hexadeci
80	Percentage of a number	What is 32% of 78?	Required percentage = 24.96%	percentage
81	Celsius To Fahrenheit	Convert 63 degrees Celsius to degrees Fahrenheit =	145.4	celsius_to_fahrenheit
82	AP Term Calculation	Find the term number 41 of the AP series: -52, -109, -166 ...	-2332	arithmetic_progression_term
83	AP Sum Calculation	Find the sum of first 21 terms of the AP series: -29, 47, 123 ...	15351.0	arithmetic_progression_sum
84	Converts decimal to octal	The decimal number 4008 in Octal is:	0o7650	decimal_to_octal
85	Converts decimal to Roman Numerals	The number 2529 in Roman Numerals is:	MMDXXIX	decimal_to_roman_numerals
86	Degrees to Radians	Angle 174 in radians is =	3.04	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^(-2))/dx	tan(x)*sec(x) - 12/x^3	differentiation
89	Definite Integral of Quadratic Equation	The definite integral within limits 0 to 1 of the equation 5x^2 + 58x + 38 is =	68.6667	definite_integral
90	isprime	83	True	is_prime
91	Binary Coded Decimal to Integer	Integer of Binary Coded Decimal 2 is =	9224	bcd_to_decimal
92	Complex To Polar Form	rexp(itheta) =	27.59exp(i0.81)	complex_to_polar