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	48+19=	67	addition
1	Subtraction	31-0=	31	subtraction
2	Multiplication	44*1=	44	multiplication
3	Division	19/73=	0.2602739726027397	division
4	Binary Complement 1s	001110110=	110001001	binary_complement_1s
5	Modulo Division	99%80=	19	modulo_division
6	Square Root	sqrt(144)=	12	square_root
7	Power Rule Differentiation	7x^8 + 9x^3	56x^7 + 27x^2	power_rule_differentiation
8	Square	15^2=	225	square
9	LCM (Least Common Multiple)	LCM of 18 and 10 =	90	lcm
10	GCD (Greatest Common Denominator)	GCD of 9 and 8 =	1	gcd
11	Basic Algebra	9x + 10 = 10	0	basic_algebra
12	Logarithm	log2(32)	5	log
13	Easy Division	475/19 =	25	int_division
14	Decimal to Binary	Binary of 97=	1100001	decimal_to_binary
15	Binary to Decimal	0110	6	binary_to_decimal
16	Fraction Division	(3/6)/(7/1)	1/14	divide_fractions
17	Integer Multiplication with 2x2 Matrix	12 * 2, 6], [3, 3 =	24,72],[36,36	multiply_int_to_22_matrix
18	Area of Triangle	Area of triangle with side lengths: 12 2 2 =	(2.0782945349651837e-15+33.94112549695428j)	area_of_triangle
19	Triangle exists check	Does triangle with sides 40, 5 and 39 exist?	Yes	valid_triangle
20	Midpoint of the two point	(-14,11),(-2,9)=	(-8.0,10.0)	midpoint_of_two_points
21	Factoring Quadratic	x^2-5x-14	(x+2)(x-7)	factoring
22	Third Angle of Triangle	Third angle of triangle with angles 27 and 88 =	65	third_angle_of_triangle
23	Solve a System of Equations in R^2	-7x - 7y = -14, -7x - 8y = -18	x = -2, y = 4	system_of_equations
24	Distance between 2 points	Find the distance between (5, 9) and (5, 8)	sqrt(1)	distance_two_points
25	Pythagorean Theorem	The hypotenuse of a right triangle given the other two lengths 13 and 17 =	21.40	pythagorean_theorem
26	Linear Equations	2x + -1y = -19, -14x + -9y = 149	x = -10, y = -1	linear_equations
27	Prime Factorisation	Find prime factors of 8	[2, 2, 2]	prime_factors
28	Fraction Multiplication	(3/1)*(2/10)	3/5	fraction_multiplication
29	Angle of a Regular Polygon	Find the angle of a regular polygon with 20 sides	162.0	angle_regular_polygon
30	Combinations of Objects	Number of combinations from 16 objects picked 5 at a time	4368	combinations
31	Factorial	0! =	1	factorial
32	Surface Area of Cube	Surface area of cube with side = 4m is	96 m^2	surface_area_cube
33	Surface Area of Cuboid	Surface area of cuboid with sides = 19m, 10m, 16m is	1308 m^2	surface_area_cuboid
34	Surface Area of Cylinder	Surface area of cylinder with height = 32m and radius = 5m is	1162 m^2	surface_area_cylinder
35	Volum of Cube	Volume of cube with side = 20m is	8000 m^3	volume_cube
36	Volume of Cuboid	Volume of cuboid with sides = 11m, 17m, 1m is	187 m^3	volume_cuboid
37	Volume of cylinder	Volume of cylinder with height = 16m and radius = 17m is	14526 m^3	volume_cylinder
38	Surface Area of cone	Surface area of cone with height = 36m and radius = 1m is	116 m^2	surface_area_cone
39	Volume of cone	Volume of cone with height = 17m and radius = 17m is	5144 m^3	volume_cone
40	Common Factors	Common Factors of 80 and 59 =	[1]	common_factors
41	Intersection of Two Lines	Find the point of intersection of the two lines: y = 10/6x + 6 and y = 5x + 7	(-3/10, 11/2)	intersection_of_two_lines
42	Permutations	Number of Permutations from 15 objects picked 1 at a time =	15	permutation
43	Cross Product of 2 Vectors	[16, -8, 0] X [11, -6, -13] =	[104, 208, -8]	vector_cross
44	Compare Fractions	Which symbol represents the comparison between 4/6 and 7/9?	<	compare_fractions
45	Simple Interest	Simple interest for a principle amount of 1857 dollars, 8% rate of interest and for a time period of 7 years is =	1039.92	simple_interest
46	Multiplication of two matrices	Multiply 5 -3 0 3 -6 -6 -9 8 -4 -2 -8 -2 and -10 -10 -2 10 -6 -9 -5 -9 2 7 -8 -8 -2 6 10 0	-38 -5 35 77 62 99 194 66 40 -10 62 42	matrix_multiplication
47	Cube Root	cuberoot of 616 upto 2 decimal places is:	8.51	cube_root
48	Power Rule Integration	4x^1	(4/1)x^2 + c	power_rule_integration
49	Fourth Angle of Quadrilateral	Fourth angle of quadrilateral with angles 72 , 42, 103 =	143	fourth_angle_of_quadrilateral
50	Quadratic Equation	Zeros of the Quadratic Equation 88x^2+181x+68=0	[-0.49, -1.56]	quadratic_equation
51	HCF (Highest Common Factor)	HCF of 2 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 16 =	6/216	dice_sum_probability
53	Exponentiation	17^10 =	2015993900449	exponentiation
54	Confidence interval For sample S	The confidence interval for sample [289, 211, 294, 290, 264, 258, 229, 265, 272, 228, 257, 262, 210, 259, 246, 224, 266, 283, 273, 222, 250, 241, 225, 237] with 99% confidence is	(265.1917573633045, 239.39157597002884)	confidence_interval
55	Comparing surds	Fill in the blanks 81^(1/7) _ 54^(1/9)	>	surds_comparison
56	Fibonacci Series	The Fibonacci Series of the first 20 numbers is ?	[0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181]	fibonacci_series
57	Trigonometric Values	What is cos(90)?	0	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[43, 23, 43, 13, 16, 40, 36, 19, 17, 39, 45, 26, 12, 17, 12]	The Mean is 26.733333333333334 , Standard Deviation is 151.79555555555555, Variance is 12.3205338989654	data_summary
60	Surface Area of Sphere	Surface area of Sphere with radius = 10m is	1256.6370614359173 m^2	surface_area_sphere
61	Volume of Sphere	Volume of sphere with radius 93 m =	3369282.722751367 m^3	volume_sphere
62	nth Fibonacci number	What is the 52th Fibonacci number?	32951280099	nth_fibonacci_number
63	Profit or Loss Percent	Loss percent when CP = 798 and SP = 713 is:	10.651629072681704	profit_loss_percent
64	Binary to Hexidecimal	0000	0x0	binary_to_hex
65	Multiplication of 2 complex numbers	(14-1j) * (-15+4j) =	(-206+71j)	multiply_complex_numbers
66	Geometric Progression	For the given GP [8, 24, 72, 216, 648, 1944] ,Find the value of a,common ratio,11th term value, sum upto 8th term	The value of a is 8, common ratio is 3 , 11th term is 472392 , sum upto 8th term is 26240.0	geometric_progression
67	Geometric Mean of N Numbers	Geometric mean of 4 numbers 65 , 75 , 65 , 23 =	(657565*23)^(1/4) = 51.95818275737109	geometric_mean
68	Harmonic Mean of N Numbers	Harmonic mean of 2 numbers 2 and 12 =	2/((1/2) + (1/12)) = 3.4285714285714284	harmonic_mean
69	Euclidian norm or L2 norm of a vector	Euclidian norm or L2 norm of the vector[488.10260237588165, 438.9926997215375, 481.4248776631771, 480.58824363943177, 509.73053046857785, 268.09288505668803, 410.3732502610836, 318.6216647891933, 296.4238196042428, 808.0996438115192, 121.7211186065138, 615.1986904309553, 380.29841107431093, 195.23491823519456, 81.69943837555405, 155.69629311805645, 97.46954246782546, 634.0953876946306, 199.72352388042535, 568.2278203619796] is:	1901.9741243296269	euclidian_norm
70	Angle between 2 vectors	angle between the vectors [955.8351549798066, 177.1594811522551, 900.6055058476991, 712.0208070601419, 601.3956854892953, 628.8267644026017, 893.2727217464875, 492.4340309181726] and [668.7008663033757, 138.7169080640255, 515.5875138676224, 230.03917249114247, 51.099523634880015, 894.1460097286858, 313.47733623460283, 837.2412043583688] is:	NaN	angle_btw_vectors
71	Absolute difference between two numbers	Absolute difference between numbers -63 and 84 =	147	absolute_difference
72	Dot Product of 2 Vectors	[7, -9, 12] . [6, 12, 14] =	102	vector_dot
73	Binary 2's Complement	2's complement of 11101 =	11	binary_2s_complement
74	Inverse of a Matrix	Inverse of Matrix Matrix(61, 90, 56], [2, 74, 38], [29, 91, 7) is:	Matrix(735/47851, -2233/95702, 181/47851], [-272/47851, 1197/191404, 1103/95702], [491/47851, 2941/191404, -2167/95702)	invert_matrix
75	Area of a Sector	Given radius, 17 and angle, 98. Find the area of the sector.	Area of sector = 247.15608	sector_area
76	Mean and Median	Given the series of numbers [13, 89, 68, 53, 61, 3, 17, 66, 63, 48]. find the arithmatic mean and mdian of the series	Arithmetic mean of the series is 48.1 and Arithmetic median of this series is 57.0	mean_median
77	Determinant to 2x2 Matrix	Det(49, 6], [62, 19) =	559	int_matrix_22_determinant
78	Compound Interest	Compound interest for a principle amount of 7750 dollars, 9% rate of interest and for a time period of 7 year is =	14167.3	compound_interest
79	Decimal to Hexadecimal	Binary of 972=	0x3cc	decimal_to_hexadeci
80	Percentage of a number	What is 38% of 82?	Required percentage = 31.16%	percentage
81	Celsius To Fahrenheit	Convert -49 degrees Celsius to degrees Fahrenheit =	-56.2	celsius_to_fahrenheit
82	AP Term Calculation	Find the term number 83 of the AP series: -41, -110, -179 ...	-5699	arithmetic_progression_term
83	AP Sum Calculation	Find the sum of first 99 terms of the AP series: 20, -59, -138 ...	-381249.0	arithmetic_progression_sum
84	Converts decimal to octal	The decimal number 1424 in Octal is:	0o2620	decimal_to_octal
85	Converts decimal to Roman Numerals	The number 3563 in Roman Numerals is:	MMMDLXIII	decimal_to_roman_numerals
86	Degrees to Radians	Angle 286 in radians is =	4.99	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(exp(x)+6*x^(-3))/dx	exp(x) - 18/x^4	differentiation
89	Definite Integral of Quadratic Equation	The definite integral within limits 0 to 1 of the equation 94x^2 + 86x + 97 is =	171.3333	definite_integral
90	isprime	28	False	is_prime
91	Binary Coded Decimal to Integer	Integer of Binary Coded Decimal 9 is =	37408	bcd_to_decimal
92	Complex To Polar Form	rexp(itheta) =	15.65exp(i-2.68)	complex_to_polar
93	Union,Intersection,Difference of Two Sets	Given the two sets a={2, 3, 5} ,b={2, 3, 6, 7}.Find the Union,intersection,a-b,b-a and symmetric difference	Union is {2, 3, 5, 6, 7},Intersection is {2, 3}, a-b is {5},b-a is {6, 7}, Symmetric difference is {5, 6, 7}	set_operation
94	Base Conversion	Convert E656 from base 16 to base 12.	2A15A	base_conversion
95	Curved surface area of a cylinder	What is the curved surface area of a cylinder of radius, 43 and height, 85?	CSA of cylinder = 22965.04	curved_surface_area_cylinder