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+42=	84	addition
1	Subtraction	6-3=	3	subtraction
2	Multiplication	5*10=	50	multiplication
3	Division	48/95=	0.5052631578947369	division
4	Binary Complement 1s	0110000=	1001111	binary_complement_1s
5	Modulo Division	92%7=	1	modulo_division
6	Square Root	sqrt(1)=	1	square_root
7	Power Rule Differentiation	3x^8 + 7x^6 + 3x^7 + 1x^3	24x^7 + 42x^5 + 21x^6 + 3x^2	power_rule_differentiation
8	Square	19^2=	361	square
9	LCM (Least Common Multiple)	LCM of 14 and 16 =	112	lcm
10	GCD (Greatest Common Denominator)	GCD of 7 and 18 =	1	gcd
11	Basic Algebra	10x + 1 = 2	1/10	basic_algebra
12	Logarithm	log3(6561)	8	log
13	Easy Division	198/18 =	11	int_division
14	Decimal to Binary	Binary of 17=	10001	decimal_to_binary
15	Binary to Decimal	100111010	314	binary_to_decimal
16	Fraction Division	(9/7)/(4/9)	81/28	divide_fractions
17	Integer Multiplication with 2x2 Matrix	15 * 6, 6], [1, 1 =	90,90],[15,15	multiply_int_to_22_matrix
18	Area of Triangle	Area of triangle with side lengths: 18 17 13 =	105.29957264870546	area_of_triangle
19	Triangle exists check	Does triangle with sides 12, 33 and 30 exist?	Yes	valid_triangle
20	Midpoint of the two point	(-7,-12),(-1,6)=	(-4.0,-3.0)	midpoint_of_two_points
21	Factoring Quadratic	x^2-9x+8	(x-8)(x-1)	factoring
22	Third Angle of Triangle	Third angle of triangle with angles 55 and 17 =	108	third_angle_of_triangle
23	Solve a System of Equations in R^2	10x - 6y = 46, 9x + 5y = -21	x = 1, y = -6	system_of_equations
24	Distance between 2 points	Find the distance between (14, 8) and (1, -11)	sqrt(530)	distance_two_points
25	Pythagorean Theorem	The hypotenuse of a right triangle given the other two lengths 20 and 14 =	24.41	pythagorean_theorem
26	Linear Equations	-2x + 14y = 154
-10x + -8y = -166	x = 7, y = 12	linear_equations
27	Prime Factorisation	Find prime factors of 189	[3, 3, 3, 7]	prime_factors
28	Fraction Multiplication	(9/4)*(5/9)	5/4	fraction_multiplication
29	Angle of a Regular Polygon	Find the angle of a regular polygon with 14 sides	154.29	angle_regular_polygon
30	Combinations of Objects	Number of combinations from 17 objects picked 9 at a time	24310	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 = 6m, 3m, 9m is	198 m^2	surface_area_cuboid
34	Surface Area of Cylinder	Surface area of cylinder with height = 25m and radius = 17m is	4486 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 = 12m, 8m, 20m is	1920 m^3	volume_cuboid
37	Volume of cylinder	Volume of cylinder with height = 35m and radius = 13m is	18582 m^3	volume_cylinder
38	Surface Area of cone	Surface area of cone with height = 45m and radius = 1m is	144 m^2	surface_area_cone
39	Volume of cone	Volume of cone with height = 25m and radius = 16m is	6702 m^3	volume_cone
40	Common Factors	Common Factors of 52 and 89 =	[1]	common_factors
41	Intersection of Two Lines	Find the point of intersection of the two lines: y = -3/5x + 10 and y = -3/4x - 5	(-100, 70)	intersection_of_two_lines
42	Permutations	Number of Permutations from 14 objects picked 8 at a time =	121080960	permutation
43	Cross Product of 2 Vectors	[-16, -2, -1] X [-16, -7, 19] =	[-45, 320, 80]	vector_cross
44	Compare Fractions	Which symbol represents the comparison between 9/2 and 9/10?	>	compare_fractions
45	Simple Interest	Simple interest for a principle amount of 4736 dollars, 1% rate of interest and for a time period of 7 years is =	331.52	simple_interest
46	Multiplication of two matrices	Multiply 4 -2 -2 4 6 -4 -1 1 -5 -10 8 3 and 6 3 9 -4 -4 -6 -3 0 -10 -3 -7 -7	52 30 56 -2 40 -12 46 12 40 6 23 39 -122 -87 -135 19	matrix_multiplication
47	Cube Root	cuberoot of 744 upto 2 decimal places is:	9.06	cube_root
48	Power Rule Integration	9x^1	(9/1)x^2 + c	power_rule_integration
49	Fourth Angle of Quadrilateral	Fourth angle of quadrilateral with angles 96 , 118, 81 =	65	fourth_angle_of_quadrilateral
50	Quadratic Equation	Zeros of the Quadratic Equation 88x^2+193x+32=0	[-0.18, -2.01]	quadratic_equation
51	HCF (Highest Common Factor)	HCF of 16 and 3 =	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 5 =	1/6	dice_sum_probability
53	Exponentiation	6^5 =	7776	exponentiation
54	Confidence interval For sample S	The confidence interval for sample [202, 227, 233, 291, 294, 242, 247, 283, 251, 228, 216, 240, 289, 243, 282, 238, 257, 255, 203, 276, 293, 214, 207, 210, 265, 212, 236, 297, 256, 280, 288] with 99% confidence is	(264.1616033070315, 236.1609773381298)	confidence_interval
55	Comparing surds	Fill in the blanks 27^(1/4) _ 87^(1/1)	<	surds_comparison
56	Fibonacci Series	The Fibonacci Series of the first 5 numbers is ?	[0, 1, 1, 2, 3]	fibonacci_series
57	Trigonometric Values	What is tan(45)?	1	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[11, 22, 9, 8, 12, 36, 39, 19, 12, 11, 49, 27, 22, 27, 26]	The Mean is 22.0 , Standard Deviation is 139.73333333333332, Variance is 11.820885471627467	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 69 m =	1376055.2813841724 m^3	volume_sphere
62	nth Fibonacci number	What is the 33th Fibonacci number?	3524578	nth_fibonacci_number
63	Profit or Loss Percent	Loss percent when CP = 883 and SP = 393 is:	55.492638731596834	profit_loss_percent
64	Binary to Hexidecimal	00010100	0x14	binary_to_hex
65	Multiplication of 2 complex numbers	(-3+0j) * 16j =	(-0-48j)	multiply_complex_numbers
66	Geometric Progression	For the given GP [4, 20, 100, 500, 2500, 12500] ,Find the value of a,common ratio,6th term value, sum upto 8th term	The value of a is 4, common ratio is 5 , 6th term is 12500 , sum upto 8th term is 390624.0	geometric_progression
67	Geometric Mean of N Numbers	Geometric mean of 2 numbers 41 and 54 =	(41*54)^(1/2) = 47.05316142407437	geometric_mean
68	Harmonic Mean of N Numbers	Harmonic mean of 3 numbers 8 , 71 and 68 =	3/((1/8) + (1/71) + (1/68)) = 19.507070707070707	harmonic_mean
69	Euclidian norm or L2 norm of a vector	Euclidian norm or L2 norm of the vector[865.7151963569839, 226.4057036465874, 14.824800248170567, 706.1262882326861, 865.8569268338141, 559.1781356802616, 756.7052133079868, 164.9216239520549, 609.9900978280176, 697.4174107118105, 486.57415492429044, 993.1670184061886, 640.1534234049134, 368.9654609248786] is:	2364.168521129801	euclidian_norm
70	Angle between 2 vectors	angle between the vectors [275.27222370228554, 360.4704403955723, 828.9475033885524, 339.2072270059939, 233.95550521713915, 887.4530688219838, 390.16238631557763, 351.47764321737054, 103.32257528086953, 867.8009318330934, 525.3164032492849] and [886.3103662444178, 562.6461993125878, 190.16362305272116, 909.6771690252709, 555.7134133875247, 553.903105904929, 828.5687817542065, 208.31947038854025, 388.8973006974784, 424.9452146134446, 460.00088587027324] is:	NaN	angle_btw_vectors
71	Absolute difference between two numbers	Absolute difference between numbers 25 and -64 =	89	absolute_difference
72	Dot Product of 2 Vectors	[-20, -4, 9] . [4, -19, -3] =	-31	vector_dot
73	Binary 2's Complement	2's complement of 110000 =	10000	binary_2s_complement
74	Inverse of a Matrix	Inverse of Matrix Matrix(43, 31, 88], [96, 41, 11], [68, 89, 13) is:	Matrix(-223/235925, 7429/471850, -3267/471850], [-10/9437, -217/18874, 319/18874], [2878/235925, -1719/471850, -1213/471850)	invert_matrix
75	Area of a Sector	Given radius, 45 and angle, 191. Find the area of the sector.	Area of sector = 3375.24861	sector_area
76	Mean and Median	Given the series of numbers [44, 90, 6, 3, 25, 67, 76, 86, 51, 69]. find the arithmatic mean and mdian of the series	Arithmetic mean of the series is 51.7 and Arithmetic median of this series is 59.0	mean_median
77	Determinant to 2x2 Matrix	Det(51, 51], [15, 83) =	3468	int_matrix_22_determinant
78	Compound Interest	Compound Interest for a principle amount of 2506 dollars, 5% rate of interest and for a time period of 10 compounded monthly is =	2506.0	compound_interest
79	Decimal to Hexadecimal	Binary of 588=	0x24c	decimal_to_hexadeci
80	Percentage of a number	What is 21% of 84?	Required percentage = 17.64%	percentage
81	Celsius To Fahrenheit	Convert 62 degrees Celsius to degrees Fahrenheit =	143.60000000000002	celsius_to_fahrenheit
82	AP Term Calculation	Find the term number 76 of the AP series: 94, 46, -2 ...	-3506	arithmetic_progression_term
83	AP Sum Calculation	Find the sum of first 20 terms of the AP series: -69, -146, -223 ...	-16010.0	arithmetic_progression_sum
84	Converts decimal to octal	The decimal number 1829 in Octal is:	0o3445	decimal_to_octal
85	Converts decimal to Roman Numerals	The number 1938 in Roman Numerals is:	MCMXXXVIII	decimal_to_roman_numerals
86	Degrees to Radians	Angle 197 in radians is =	3.44	degree_to_rad
87	Radians to Degrees	Angle 3 in degrees is =	171.89	radian_to_deg