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	13+0=	13	addition
1	Subtraction	95-6=	89	subtraction
2	Multiplication	66*0=	0	multiplication
3	Division	15/42=	0.35714285714285715	division
4	Binary Complement 1s	01=	10	binary_complement_1s
5	Modulo Division	59%11=	4	modulo_division
6	Square Root	sqrt(81)=	9	square_root
7	Power Rule Differentiation	8x^2 + 3x^3 + 1x^9	16x^1 + 9x^2 + 9x^8	power_rule_differentiation
8	Square	3^2=	9	square
9	LCM (Least Common Multiple)	LCM of 8 and 4 =	8	lcm
10	GCD (Greatest Common Denominator)	GCD of 12 and 12 =	12	gcd
11	Basic Algebra	8x + 10 = 10	0	basic_algebra
12	Logarithm	log2(128)	7	log
13	Easy Division	230/10 =	23	int_division
14	Decimal to Binary	Binary of 93=	1011101	decimal_to_binary
15	Binary to Decimal	10001	17	binary_to_decimal
16	Fraction Division	(4/3)/(4/8)	8/3	divide_fractions
17	Integer Multiplication with 2x2 Matrix	11 * 6, 2], [0, 8 =	66,22],[0,88	multiply_int_to_22_matrix
18	Area of Triangle	Area of triangle with side lengths: 10 17 7 =	0.0	area_of_triangle
19	Triangle exists check	Does triangle with sides 13, 40 and 7 exist?	No	valid_triangle
20	Midpoint of the two point	(-16,-17),(7,11)=	(-4.5,-3.0)	midpoint_of_two_points
21	Factoring Quadratic	x^2-3x-18	(x-6)(x+3)	factoring
22	Third Angle of Triangle	Third angle of triangle with angles 49 and 13 =	118	third_angle_of_triangle
23	Solve a System of Equations in R^2	3x + y = 18, 4x + 10y = 102	x = 3, y = 9	system_of_equations
24	Distance between 2 points	Find the distance between (-15, -13) and (-5, -10)	sqrt(109)	distance_two_points
25	Pythagorean Theorem	The hypotenuse of a right triangle given the other two lengths 14 and 13 =	19.10	pythagorean_theorem
26	Linear Equations	-9x + -17y = 417, -1x + -4y = 78	x = -18, y = -15	linear_equations
27	Prime Factorisation	Find prime factors of 196	[2, 2, 7, 7]	prime_factors
28	Fraction Multiplication	(8/1)*(9/6)	12	fraction_multiplication
29	Angle of a Regular Polygon	Find the angle of a regular polygon with 8 sides	135.0	angle_regular_polygon
30	Combinations of Objects	Number of combinations from 12 objects picked 2 at a time	66	combinations
31	Factorial	4! =	24	factorial
32	Surface Area of Cube	Surface area of cube with side = 14m is	1176 m^2	surface_area_cube
33	Surface Area of Cuboid	Surface area of cuboid with sides = 16m, 4m, 12m is	608 m^2	surface_area_cuboid
34	Surface Area of Cylinder	Surface area of cylinder with height = 8m and radius = 13m is	1715 m^2	surface_area_cylinder
35	Volum of Cube	Volume of cube with side = 14m is	2744 m^3	volume_cube
36	Volume of Cuboid	Volume of cuboid with sides = 5m, 19m, 11m is	1045 m^3	volume_cuboid
37	Volume of cylinder	Volume of cylinder with height = 26m and radius = 12m is	11762 m^3	volume_cylinder
38	Surface Area of cone	Surface area of cone with height = 13m and radius = 8m is	584 m^2	surface_area_cone
39	Volume of cone	Volume of cone with height = 45m and radius = 12m is	6785 m^3	volume_cone
40	Common Factors	Common Factors of 53 and 11 =	[1]	common_factors
41	Intersection of Two Lines	Find the point of intersection of the two lines: y = -9/6x + 2 and y = 5/4x - 6	(32/11, -26/11)	intersection_of_two_lines
42	Permutations	Number of Permutations from 12 objects picked 5 at a time =	95040	permutation
43	Cross Product of 2 Vectors	[-19, 13, 14] X [7, 17, -11] =	[-381, -111, -414]	vector_cross
44	Compare Fractions	Which symbol represents the comparison between 7/8 and 3/4?	>	compare_fractions
45	Simple Interest	Simple interest for a principle amount of 4874 dollars, 10% rate of interest and for a time period of 1 years is =	487.4	simple_interest
46	Multiplication of two matrices	Multiply 7 4 -5 4 0 -8 -1 -5 and -10 -6 -3 -6 1 8 0 -1	-87 -110 23 45	matrix_multiplication
47	Cube Root	cuberoot of 190 upto 2 decimal places is:	5.75	cube_root
48	Power Rule Integration	3x^2 + 7x^7 + 1x^6 + 9x^1	(3/2)x^3 + (7/7)x^8 + (1/6)x^7 + (9/1)x^2 + c	power_rule_integration
49	Fourth Angle of Quadrilateral	Fourth angle of quadrilateral with angles 126 , 81, 61 =	92	fourth_angle_of_quadrilateral
50	Quadratic Equation	Zeros of the Quadratic Equation 6x^2+139x+34=0	[-0.25, -22.92]	quadratic_equation
51	HCF (Highest Common Factor)	HCF of 19 and 12 =	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	15^7 =	170859375	exponentiation
54	Confidence interval For sample S	The confidence interval for sample [204, 279, 272, 203, 275, 286, 253, 237, 271, 222, 297, 265, 242, 239, 259, 241, 261, 254, 217, 219, 298, 273, 238, 209, 268] with 80% confidence is	(258.3266706388717, 244.23332936112834)	confidence_interval
55	Comparing surds	Fill in the blanks 95^(1/7) _ 67^(1/6)	<	surds_comparison
56	Fibonacci Series	The Fibonacci Series of the first 18 numbers is ?	[0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597]	fibonacci_series
57	Trigonometric Values	What is cos(45)?	1/√2	basic_trigonometry
58	Sum of Angles of Polygon	Sum of angles of polygon with 7 sides =	900	sum_of_polygon_angles
59	Mean,Standard Deviation,Variance	Find the mean,standard deviation and variance for the data[41, 44, 15, 26, 15, 50, 27, 22, 11, 32, 14, 8, 23, 50, 9]	The Mean is 25.8 , Standard Deviation is 199.0933333333333, Variance is 14.110043704160994	data_summary
60	Surface Area of Sphere	Surface area of Sphere with radius = 18m is	4071.5040790523717 m^2	surface_area_sphere
61	Volume of Sphere	Volume of sphere with radius 88 m =	2854543.2384361913 m^3	volume_sphere
62	nth Fibonacci number	What is the 5th Fibonacci number?	5	nth_fibonacci_number
63	Profit or Loss Percent	Profit percent when CP = 190 and SP = 653 is:	243.68421052631578	profit_loss_percent
64	Binary to Hexidecimal	000	0x0	binary_to_hex
65	Multiplication of 2 complex numbers	(1+11j) * (14-20j) =	(234+134j)	multiply_complex_numbers
66	Geometric Progression	For the given GP [2, 14, 98, 686, 4802, 33614] ,Find the value of a,common ratio,11th term value, sum upto 10th term	The value of a is 2, common ratio is 7 , 11th term is 564950498 , sum upto 10th term is 94158416.0	geometric_progression
67	Geometric Mean of N Numbers	Geometric mean of 4 numbers 5 , 36 , 46 , 11 =	(53646*11)^(1/4) = 17.372237396461717	geometric_mean
68	Harmonic Mean of N Numbers	Harmonic mean of 4 numbers 2 , 69 , 40 , 85 =	4/((1/2) + (1/69) + (1/40) + (1/85)) = 7.256137637734391	harmonic_mean
69	Euclidian norm or L2 norm of a vector	Euclidian norm or L2 norm of the vector[964.0224705098824, 282.67364534639074, 10.524202601537414, 361.644358207216, 691.8214421455904, 573.8396623606926, 972.293614400242, 140.0274501909099, 590.7302519633489, 797.8763197329738, 726.1188608418418, 597.5706485157848, 241.28898511522024, 694.0267219296932, 32.85273313007875, 187.58082258543695, 452.179970384704, 964.184342568536, 589.6017896365979, 936.6845704453358] is:	2778.1660192850186	euclidian_norm
70	Angle between 2 vectors	angle between the vectors [682.87, 786.47, 315.92, 912.87, 542.62, 602.89, 747.77, 437.42, 3.35, 225.43, 63.6, 535.22, 871.05, 33.58] and [625.58, 654.32, 738.64, 670.61, 575.02, 237.12, 220.81, 78.57, 298.55, 427.21, 396.95, 159.78, 574.71, 847.07] is:	0.69 radians	angle_btw_vectors
71	Absolute difference between two numbers	Absolute difference between numbers -14 and 27 =	41	absolute_difference
72	Dot Product of 2 Vectors	[13, -5, -16] . [-6, 11, -2] =	-101	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(73, 79, 98], [11, 18, 14], [41, 47, 26) is:	Matrix(95/6388, -319/1597, 329/6388], [-36/1597, 265/1597, -7/1597], [221/12776, 24/1597, -445/12776)	invert_matrix
75	Area of a Sector	Given radius, 7 and angle, 271. Find the area of the sector.	Area of sector = 115.88114	sector_area
76	Mean and Median	Given the series of numbers [17, 84, 55, 4, 28, 41, 50, 54, 35, 14]. find the arithmatic mean and mdian of the series	Arithmetic mean of the series is 38.2 and Arithmetic median of this series is 38.0	mean_median
77	Determinant to 2x2 Matrix	Det(0, 38], [92, 69) =	-3496	int_matrix_22_determinant
78	Compound Interest	Compound interest for a principle amount of 6315 dollars, 4% rate of interest and for a time period of 8 year is =	8642.51	compound_interest
79	Decimal to Hexadecimal	Binary of 222=	0xde	decimal_to_hexadeci
80	Percentage of a number	What is 16% of 10?	Required percentage = 1.60%	percentage
81	Celsius To Fahrenheit	Convert -30 degrees Celsius to degrees Fahrenheit =	-22.0	celsius_to_fahrenheit
82	AP Term Calculation	Find the term number 23 of the AP series: -14, 86, 186 ...	2186	arithmetic_progression_term
83	AP Sum Calculation	Find the sum of first 70 terms of the AP series: 55, -34, -123 ...	-211085.0	arithmetic_progression_sum
84	Converts decimal to octal	The decimal number 2801 in Octal is:	0o5361	decimal_to_octal
85	Converts decimal to Roman Numerals	The number 1366 in Roman Numerals is:	MCCCLXVI	decimal_to_roman_numerals
86	Degrees to Radians	Angle 213 in radians is =	3.72	degree_to_rad
87	Radians to Degrees	Angle 0 in degrees is =	0.0	radian_to_deg
88	Differentiation	differentiate w.r.t x : d(ln(x)+5*x^3)/dx	15*x^2 + 1/x	differentiation
89	Definite Integral of Quadratic Equation	The definite integral within limits 0 to 1 of the equation 18x^2 + 37x + 1 is =	25.5	definite_integral
90	isprime	53	True	is_prime
91	Binary Coded Decimal to Integer	Integer of Binary Coded Decimal 1 is =	5202	bcd_to_decimal
92	Complex To Polar Form	rexp(itheta) =	10.3exp(i0.51)	complex_to_polar
93	Union,Intersection,Difference of Two Sets	Given the two sets a={1, 2, 6, 7, 9, 10} ,b={9, 3, 5, 6}.Find the Union,intersection,a-b,b-a and symmetric difference	Union is {1, 2, 3, 5, 6, 7, 9, 10},Intersection is {9, 6}, a-b is {1, 2, 10, 7},b-a is {3, 5}, Symmetric difference is {1, 2, 3, 5, 7, 10}	set_operation
94	Base Conversion	Convert 137673 from base 8 to base 10.	49083	base_conversion
95	Curved surface area of a cylinder	What is the curved surface area of a cylinder of radius, 20 and height, 96?	CSA of cylinder = 12063.72	curved_surface_area_cylinder
96	Perimeter of Polygons	The perimeter of a 10 sided polygon with lengths of [106, 31, 107, 44, 44, 81, 108, 92, 75, 103]cm is:	791	perimeter_of_polygons