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	10+48=	58	addition
1	Subtraction	92-21=	71	subtraction
2	Multiplication	89*0=	0	multiplication
3	Division	9/11=	0.8181818181818182	division
4	Binary Complement 1s	11001=	00110	binary_complement_1s
5	Modulo Division	45%50=	45	modulo_division
6	Square Root	sqrt(25)=	5	square_root
7	Power Rule Differentiation	3x^8 + 3x^3 + 8x^4 + 8x^8 + 8x^5	24x^7 + 9x^2 + 32x^3 + 64x^7 + 40x^4	power_rule_differentiation
8	Square	3^2=	9	square
9	LCM (Least Common Multiple)	LCM of 13 and 16 =	208	lcm
10	GCD (Greatest Common Denominator)	GCD of 1 and 20 =	1	gcd
11	Basic Algebra	4x + 2 = 9	7/4	basic_algebra
12	Logarithm	log2(8)	3	log
13	Easy Division	10/5 =	2	int_division
14	Decimal to Binary	Binary of 89=	1011001	decimal_to_binary
15	Binary to Decimal	00011010	26	binary_to_decimal
16	Fraction Division	(5/9)/(5/1)	1/9	divide_fractions
17	Integer Multiplication with 2x2 Matrix	9 * 7, 6], [0, 3 =	63,54],[0,27	multiply_int_to_22_matrix
18	Area of Triangle	Area of triangle with side lengths: 7 6 9 =	20.97617696340303	area_of_triangle
19	Triangle exists check	Does triangle with sides 1, 9 and 28 exist?	No	valid_triangle
20	Midpoint of the two point	(11,-12),(-16,-17)=	(-2.5,-14.5)	midpoint_of_two_points
21	Factoring Quadratic	x^2+6x-7	(x-1)(x+7)	factoring
22	Third Angle of Triangle	Third angle of triangle with angles 76 and 64 =	40	third_angle_of_triangle
23	Solve a System of Equations in R^2	-3x - 7y = -56, -8x + 5y = 40	x = 0, y = 8	system_of_equations
24	Distance between 2 points	Find the distance between (-14, 5) and (9, -4)	sqrt(610)	distance_two_points
25	Pythagorean Theorem	The hypotenuse of a right triangle given the other two lengths 9 and 9 =	12.73	pythagorean_theorem
26	Linear Equations	15x = -75, 15x + -10y = -35	x = -5, y = -4	linear_equations
27	Prime Factorisation	Find prime factors of 101	[101]	prime_factors
28	Fraction Multiplication	(6/2)*(10/4)	15/2	fraction_multiplication
29	Angle of a Regular Polygon	Find the angle of a regular polygon with 12 sides	150.0	angle_regular_polygon
30	Combinations of Objects	Number of combinations from 13 objects picked 6 at a time	1716	combinations
31	Factorial	6! =	720	factorial
32	Surface Area of Cube	Surface area of cube with side = 11m is	726 m^2	surface_area_cube
33	Surface Area of Cuboid	Surface area of cuboid with sides = 18m, 14m, 3m is	696 m^2	surface_area_cuboid
34	Surface Area of Cylinder	Surface area of cylinder with height = 28m and radius = 16m is	4423 m^2	surface_area_cylinder
35	Volum of Cube	Volume of cube with side = 8m is	512 m^3	volume_cube
36	Volume of Cuboid	Volume of cuboid with sides = 17m, 11m, 18m is	3366 m^3	volume_cuboid
37	Volume of cylinder	Volume of cylinder with height = 45m and radius = 7m is	6927 m^3	volume_cylinder
38	Surface Area of cone	Surface area of cone with height = 19m and radius = 8m is	719 m^2	surface_area_cone
39	Volume of cone	Volume of cone with height = 44m and radius = 11m is	5575 m^3	volume_cone
40	Common Factors	Common Factors of 51 and 44 =	[1]	common_factors
41	Intersection of Two Lines	Find the point of intersection of the two lines: y = -7/3x - 5 and y = -1/2x - 8	(18/11, -97/11)	intersection_of_two_lines
42	Permutations	Number of Permutations from 14 objects picked 3 at a time =	2184	permutation
43	Cross Product of 2 Vectors	[-12, 13, 1] X [-19, 11, 14] =	[171, 149, 115]	vector_cross
44	Compare Fractions	Which symbol represents the comparison between 3/8 and 6/9?	<	compare_fractions
45	Simple Interest	Simple interest for a principle amount of 8192 dollars, 2% rate of interest and for a time period of 2 years is =	327.68	simple_interest
46	Multiplication of two matrices	Multiply 2 5 -10 -5 9 9 and 4 -5 -10 -3	-42 -25 10 65 -54 -72	matrix_multiplication
47	Cube Root	cuberoot of 694 upto 2 decimal places is:	8.85	cube_root
48	Power Rule Integration	1x^3 + 9x^3	(1/3)x^4 + (9/3)x^4 + c	power_rule_integration
49	Fourth Angle of Quadrilateral	Fourth angle of quadrilateral with angles 18 , 32, 236 =	74	fourth_angle_of_quadrilateral
50	Quadratic Equation	Zeros of the Quadratic Equation 75x^2+121x+43=0	[-0.53, -1.08]	quadratic_equation
51	HCF (Highest Common Factor)	HCF of 19 and 10 =	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 9 =	4/36	dice_sum_probability
53	Exponentiation	2^10 =	1024	exponentiation
54	Confidence interval For sample S	The confidence interval for sample [235, 266, 205, 259, 244, 267, 261, 275, 248, 210, 287, 297, 212, 272, 228, 271, 249, 225, 280, 298, 237] with 90% confidence is	(263.3453075787769, 243.89278765931834)	confidence_interval
55	Comparing surds	Fill in the blanks 29^(1/8) _ 89^(1/9)	<	surds_comparison
56	Fibonacci Series	The Fibonacci Series of the first 6 numbers is ?	[0, 1, 1, 2, 3, 5]	fibonacci_series
57	Trigonometric Values	What is tan(60)?	√3	basic_trigonometry
58	Sum of Angles of Polygon	Sum of angles of polygon with 3 sides =	180	sum_of_polygon_angles
59	Mean,Standard Deviation,Variance	Find the mean,standard deviation and variance for the data[27, 39, 33, 10, 44, 14, 37, 17, 40, 35, 19, 11, 17, 6, 13]	The Mean is 24.133333333333333 , Standard Deviation is 152.91555555555553, Variance is 12.365902941376968	data_summary
60	Surface Area of Sphere	Surface area of Sphere with radius = 11m is	1520.5308443374597 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 69th Fibonacci number?	117669030460994	nth_fibonacci_number
63	Profit or Loss Percent	Profit percent when CP = 652 and SP = 967 is:	48.31288343558282	profit_loss_percent
64	Binary to Hexidecimal	011011000	0xd8	binary_to_hex
65	Multiplication of 2 complex numbers	(17+16j) * (-3-3j) =	(-3-99j)	multiply_complex_numbers
66	Geometric Progression	For the given GP [10, 70, 490, 3430, 24010, 168070] ,Find the value of a,common ratio,9th term value, sum upto 9th term	The value of a is 10, common ratio is 7 , 9th term is 57648010 , sum upto 9th term is 67256010.0	geometric_progression
67	Geometric Mean of N Numbers	Geometric mean of 3 numbers 58 , 73 and 52 =	(587352)^(1/3) = 60.383469885511204	geometric_mean
68	Harmonic Mean of N Numbers	Harmonic mean of 2 numbers 91 and 18 =	2/((1/91) + (1/18)) = 30.055045871559635	harmonic_mean
69	Euclidian norm or L2 norm of a vector	Euclidian norm or L2 norm of the vector[974.3536143874146, 686.168356481633, 586.22520680975] is:	1328.1008893926917	euclidian_norm
70	Angle between 2 vectors	angle between the vectors [700.08, 521.5, 513.19, 926.02, 781.96, 37.1, 485.31, 966.82, 811.5, 183.45, 703.93, 628.34, 756.44, 387.15, 771.41, 169.39, 48.66, 615.09] and [768.58, 809.43, 824.23, 109.11, 557.91, 3.33, 483.09, 188.14, 557.91, 655.56, 760.95, 864.19, 470.75, 149.17, 541.68, 615.69, 53.59, 859.28] is:	0.6 radians	angle_btw_vectors
71	Absolute difference between two numbers	Absolute difference between numbers 15 and -2 =	17	absolute_difference
72	Dot Product of 2 Vectors	[17, -6, 10] . [-15, 17, -2] =	-377	vector_dot
73	Binary 2's Complement	2's complement of 1001 =	111	binary_2s_complement
74	Inverse of a Matrix	Inverse of Matrix Matrix(70, 89, 73], [36, 43, 66], [96, 99, 13) is:	Matrix(-1195/12566, 607/6283, 547/12566], [2934/31415, -3049/31415, -996/31415], [-282/31415, 807/31415, -97/31415)	invert_matrix
75	Area of a Sector	Given radius, 32 and angle, 157. Find the area of the sector.	Area of sector = 1402.96547	sector_area
76	Mean and Median	Given the series of numbers [81, 67, 6, 16, 98, 69, 28, 60, 56, 20]. find the arithmatic mean and mdian of the series	Arithmetic mean of the series is 50.1 and Arithmetic median of this series is 58.0	mean_median
77	Determinant to 2x2 Matrix	Det(88, 11], [75, 32) =	1991	int_matrix_22_determinant
78	Compound Interest	Compound interest for a principle amount of 7240 dollars, 10% rate of interest and for a time period of 7 year is =	14108.71	compound_interest
79	Decimal to Hexadecimal	Binary of 181=	0xb5	decimal_to_hexadeci
80	Percentage of a number	What is 93% of 67?	Required percentage = 62.31%	percentage
81	Celsius To Fahrenheit	Convert -9 degrees Celsius to degrees Fahrenheit =	15.8	celsius_to_fahrenheit
82	AP Term Calculation	Find the term number 93 of the AP series: 16, -72, -160 ...	-8080	arithmetic_progression_term
83	AP Sum Calculation	Find the sum of first 40 terms of the AP series: 79, 111, 143 ...	28120.0	arithmetic_progression_sum
84	Converts decimal to octal	The decimal number 453 in Octal is:	0o705	decimal_to_octal
85	Converts decimal to Roman Numerals	The number 492 in Roman Numerals is:	CDXCII	decimal_to_roman_numerals
86	Degrees to Radians	Angle 146 in radians is =	2.55	degree_to_rad
87	Radians to Degrees	Angle 3 in degrees is =	171.89	radian_to_deg
88	Differentiation	differentiate w.r.t x : d(ln(x)+6*x^(-2))/dx	1/x - 12/x^3	differentiation
89	Definite Integral of Quadratic Equation	The definite integral within limits 0 to 1 of the equation 97x^2 + 21x + 68 is =	110.8333	definite_integral
90	isprime	100	False	is_prime
91	Binary Coded Decimal to Integer	Integer of Binary Coded Decimal 4 is =	18071	bcd_to_decimal
92	Complex To Polar Form	rexp(itheta) =	20.25exp(i-1.22)	complex_to_polar
93	Union,Intersection,Difference of Two Sets	Given the two sets a={1, 3, 4, 6, 7, 8} ,b={8, 1, 3, 5}.Find the Union,intersection,a-b,b-a and symmetric difference	Union is {1, 3, 4, 5, 6, 7, 8},Intersection is {8, 1, 3}, a-b is {4, 6, 7},b-a is {5}, Symmetric difference is {4, 5, 6, 7}	set_operation
94	Base Conversion	Convert 33792 from base 10 to base 8.	102000	base_conversion
95	Curved surface area of a cylinder	What is the curved surface area of a cylinder of radius, 12 and height, 87?	CSA of cylinder = 6559.65	curved_surface_area_cylinder
96	Perimeter of Polygons	The perimeter of a 11 sided polygon with lengths of [82, 107, 53, 3, 14, 47, 106, 22, 90, 87, 22]cm is:	633	perimeter_of_polygons
97	Power of Powers	The 37^1^5 = 37^(1*5) = 37^5	69343957	power_of_powers
98	Quotient of Powers with Same Base	The Quotient of 46^3 and 46^7 = 46^(3-7) = 46^-4	2.2334111155977858e-07	quotient_of_power_same_base
99	Quotient of Powers with Same Power	The Quotient of 40^3 and 20^3 = (40/20)^3 = 2.0^3	8.0	quotient_of_power_same_power
100	complex Quadratic Equation	Find the roots of given Quadratic Equation 2x^2 + 6x + 1 = 0	simplified solution : ((-0.177, -2.823)), generalized solution : ((-6 + sqrt(28))/22, (-6 - sqrt(28))/22)	complex_quadratic
101	Leap Year or Not	Year 1929	is not a leap year	is_leap_year
102	Minute to Hour conversion	Convert 793 minutes to Hours & Minutes	13 hours and 13 minutes	minutes_to_hours
103	Decimal to Binary Coded Decimal	BCD of Decimal Number 9170 is =	23132	decimal_to_bcd
104	Circumference	Circumference of circle with radius 10	62.83185307179586	circumference
105	Combine Like terms	6x^1 + 3x^2 + 6x^2	6x^1 + 9x^2	combine_like_terms
106	signum function	signum of 281 is =	1	signum_function
107	Conditional Probability	Someone tested positive for a nasty disease which only 1.44% of population have. Test sensitivity (true positive) is equal to SN= 93.49% whereas test specificity (true negative) SP= 94.85%. What is the probability that this guy really has that disease?	20.96%	conditional_probability
108	Arc length of Angle	Given radius, 42 and angle, 114. Find the arc length of the angle.	Arc length of the angle = 83.56636	arc_length
109	Binomial distribution	A manufacturer of metal pistons finds that, on average, 40.72% of the pistons they manufacture are rejected because they are incorrectly sized. What is the probability that a batch of 13 pistons will contain no more than 7 rejected pistons?	89.26	binomial_distribution