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	27+1=	28	addition
1	Subtraction	32-27=	5	subtraction
2	Multiplication	15*3=	45	multiplication
3	Division	22/52=	0.4230769230769231	division
4	Binary Complement 1s	000=	111	binary_complement_1s
5	Modulo Division	36%44=	36	modulo_division
6	Square Root	sqrt(9)=	3	square_root
7	Power Rule Differentiation	4x^4 + 4x^8 + 3x^2 + 4x^1	16x^3 + 32x^7 + 6x^1 + 4x^0	power_rule_differentiation
8	Square	10^2=	100	square
9	LCM (Least Common Multiple)	LCM of 5 and 7 =	35	lcm
10	GCD (Greatest Common Denominator)	GCD of 9 and 2 =	1	gcd
11	Basic Algebra	2x + 1 = 10	9/2	basic_algebra
12	Logarithm	log2(2)	1	log
13	Easy Division	154/7 =	22	int_division
14	Decimal to Binary	Binary of 81=	1010001	decimal_to_binary
15	Binary to Decimal	10010	18	binary_to_decimal
16	Fraction Division	(2/10)/(6/10)	1/3	divide_fractions
17	Integer Multiplication with 2x2 Matrix	4 * 8, 2], [10, 5 =	32,8],[40,20	multiply_int_to_22_matrix
18	Area of Triangle	Area of triangle with side lengths: 15 17 7 =	52.36590016413353	area_of_triangle
19	Triangle exists check	Does triangle with sides 14, 12 and 40 exist?	No	valid_triangle
20	Midpoint of the two point	(20,-15),(3,-16)=	(11.5,-15.5)	midpoint_of_two_points
21	Factoring Quadratic	x^2-16x+63	(x-7)(x-9)	factoring
22	Third Angle of Triangle	Third angle of triangle with angles 39 and 55 =	86	third_angle_of_triangle
23	Solve a System of Equations in R^2	3x + 2y = -16, 3x + 2y = -16	x = -6, y = 1	system_of_equations
24	Distance between 2 points	Find the distance between (17, 17) and (16, 0)	sqrt(290)	distance_two_points
25	Pythagorean Theorem	The hypotenuse of a right triangle given the other two lengths 3 and 6 =	6.71	pythagorean_theorem
26	Linear Equations	-9x + -4y = 44, -20x + -9y = 97	x = -8, y = 7	linear_equations
27	Prime Factorisation	Find prime factors of 199	[199]	prime_factors
28	Fraction Multiplication	(6/4)*(1/5)	3/10	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 19 objects picked 5 at a time	11628	combinations
31	Factorial	5! =	120	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 = 14m, 15m, 11m is	1058 m^2	surface_area_cuboid
34	Surface Area of Cylinder	Surface area of cylinder with height = 30m and radius = 1m is	194 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 = 10m, 9m, 9m is	810 m^3	volume_cuboid
37	Volume of cylinder	Volume of cylinder with height = 20m and radius = 4m is	1005 m^3	volume_cylinder
38	Surface Area of cone	Surface area of cone with height = 10m and radius = 4m is	185 m^2	surface_area_cone
39	Volume of cone	Volume of cone with height = 34m and radius = 1m is	35 m^3	volume_cone
40	Common Factors	Common Factors of 57 and 77 =	[1]	common_factors
41	Intersection of Two Lines	Find the point of intersection of the two lines: y = -10/6x - 4 and y = -4/2x + 10	(42, -74)	intersection_of_two_lines
42	Permutations	Number of Permutations from 20 objects picked 9 at a time =	60949324800	permutation
43	Cross Product of 2 Vectors	[4, -19, -17] X [-15, -1, -7] =	[116, 283, -289]	vector_cross
44	Compare Fractions	Which symbol represents the comparison between 2/7 and 5/2?	<	compare_fractions
45	Simple Interest	Simple interest for a principle amount of 3557 dollars, 3% rate of interest and for a time period of 5 years is =	533.55	simple_interest
46	Multiplication of two matrices	Multiply 4 7 0 0 3 5 -3 5 -9 -8 -9 4 10 -4 5 -7 and 10 5 1 -4 -1 -3 3 3 4 -10 9 8	12 13 -17 -49 46 16 -125 -28 11 201 6 -14	matrix_multiplication
47	Cube Root	cuberoot of 493 upto 2 decimal places is:	7.9	cube_root
48	Power Rule Integration	4x^1 + 3x^8 + 10x^2 + 2x^2 + 10x^2	(4/1)x^2 + (3/8)x^9 + (10/2)x^3 + (2/2)x^3 + (10/2)x^3 + c	power_rule_integration
49	Fourth Angle of Quadrilateral	Fourth angle of quadrilateral with angles 50 , 99, 150 =	61	fourth_angle_of_quadrilateral
50	Quadratic Equation	Zeros of the Quadratic Equation 48x^2+108x+4=0	[-0.04, -2.21]	quadratic_equation
51	HCF (Highest Common Factor)	HCF of 10 and 9 =	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	8^3 =	512	exponentiation
54	Confidence interval For sample S	The confidence interval for sample [280, 285, 226, 201, 281, 267, 200, 219, 239, 208, 235, 291, 262, 223, 248, 292, 269, 263, 206, 256, 252, 222, 221, 237] with 80% confidence is	(252.67446369260804, 237.57553630739196)	confidence_interval
55	Comparing surds	Fill in the blanks 35^(1/8) _ 23^(1/1)	<	surds_comparison
56	Fibonacci Series	The Fibonacci Series of the first 4 numbers is ?	[0, 1, 1, 2]	fibonacci_series
57	Trigonometric Values	What is sin(0)?	0	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[48, 43, 34, 18, 44, 36, 13, 40, 35, 35, 38, 11, 10, 11, 24]	The Mean is 29.333333333333332 , Standard Deviation is 169.28888888888886, Variance is 13.011106366827107	data_summary
60	Surface Area of Sphere	Surface area of Sphere with radius = 8m is	804.247719318987 m^2	surface_area_sphere
61	Volume of Sphere	Volume of sphere with radius 83 m =	2395095.784824196 m^3	volume_sphere
62	nth Fibonacci number	What is the 35th Fibonacci number?	9227465	nth_fibonacci_number
63	Profit or Loss Percent	Profit percent when CP = 27 and SP = 823 is:	2948.1481481481483	profit_loss_percent
64	Binary to Hexidecimal	11000111	0xc7	binary_to_hex
65	Multiplication of 2 complex numbers	(1-18j) * (-8+0j) =	(-8+144j)	multiply_complex_numbers
66	Geometric Progression	For the given GP [9, 99, 1089, 11979, 131769, 1449459] ,Find the value of a,common ratio,10th term value, sum upto 7th term	The value of a is 9, common ratio is 11 , 10th term is 21221529219 , sum upto 7th term is 17538453.0	geometric_progression
67	Geometric Mean of N Numbers	Geometric mean of 3 numbers 31 , 76 and 15 =	(317615)^(1/3) = 32.816242203578014	geometric_mean
68	Harmonic Mean of N Numbers	Harmonic mean of 4 numbers 92 , 58 , 23 , 83 =	4/((1/92) + (1/58) + (1/23) + (1/83)) = 47.825495383618595	harmonic_mean
69	Euclidian norm or L2 norm of a vector	Euclidian norm or L2 norm of the vector[36.38067725666217, 442.61220631149655, 502.3274860206511, 192.63540485685093, 984.9063401399998, 160.78033823501792, 236.70055274694923, 723.3837994746971, 54.940314755713146, 712.042190068723] is:	1603.712888554928	euclidian_norm
70	Angle between 2 vectors	angle between the vectors [651.44, 836.06, 559.59, 874.73, 707.25, 374.4, 229.28, 274.43, 158.51, 86.58, 600.24, 829.38, 64.41, 726.78, 215.5, 518.68, 659.02, 711.32, 726.21] and [231.22, 461.9, 619.6, 776.56, 266.04, 392.15, 830.34, 47.13, 373.1, 113.63, 30.84, 917.3, 532.78, 187.05, 172.89, 836.61, 882.82, 128.56, 285.96] is:	0.67 radians	angle_btw_vectors
71	Absolute difference between two numbers	Absolute difference between numbers -25 and -49 =	24	absolute_difference
72	Dot Product of 2 Vectors	[7, 5, -15] . [8, -8, 16] =	-224	vector_dot
73	Binary 2's Complement	2's complement of 10011101 =	1100011	binary_2s_complement
74	Inverse of a Matrix	Inverse of Matrix Matrix(13, 16, 78], [21, 84, 31], [85, 6, 43) is:	Matrix(-1713/237421, 110/237421, 3028/237421], [-866/237421, 6071/474842, -1235/474842], [3507/237421, -641/237421, -378/237421)	invert_matrix
75	Area of a Sector	Given radius, 22 and angle, 287. Find the area of the sector.	Area of sector = 1212.20098	sector_area
76	Mean and Median	Given the series of numbers [33, 62, 91, 64, 77, 75, 82, 19, 26, 50]. find the arithmatic mean and mdian of the series	Arithmetic mean of the series is 57.9 and Arithmetic median of this series is 63.0	mean_median
77	Determinant to 2x2 Matrix	Det(34, 100], [81, 93) =	-4938	int_matrix_22_determinant
78	Compound Interest	Compound interest for a principle amount of 1090 dollars, 5% rate of interest and for a time period of 5 year is =	1391.15	compound_interest
79	Decimal to Hexadecimal	Binary of 153=	0x99	decimal_to_hexadeci
80	Percentage of a number	What is 68% of 77?	Required percentage = 52.36%	percentage
81	Celsius To Fahrenheit	Convert 21 degrees Celsius to degrees Fahrenheit =	69.80000000000001	celsius_to_fahrenheit
82	AP Term Calculation	Find the term number 68 of the AP series: -11, -79, -147 ...	-4567	arithmetic_progression_term
83	AP Sum Calculation	Find the sum of first 17 terms of the AP series: -91, -183, -275 ...	-14059.0	arithmetic_progression_sum
84	Converts decimal to octal	The decimal number 2197 in Octal is:	0o4225	decimal_to_octal
85	Converts decimal to Roman Numerals	The number 3620 in Roman Numerals is:	MMMDCXX	decimal_to_roman_numerals
86	Degrees to Radians	Angle 355 in radians is =	6.2	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(cot(x)+9*x^4)/dx	36*x^3 - cot(x)^2 - 1	differentiation
89	Definite Integral of Quadratic Equation	The definite integral within limits 0 to 1 of the equation 24x^2 + 41x + 61 is =	89.5	definite_integral
90	isprime	84	False	is_prime
91	Binary Coded Decimal to Integer	Integer of Binary Coded Decimal 4 is =	18064	bcd_to_decimal
92	Complex To Polar Form	rexp(itheta) =	18.97exp(i-1.25)	complex_to_polar
93	Union,Intersection,Difference of Two Sets	Given the two sets a={1, 5, 6, 7} ,b={8, 3, 6, 7}.Find the Union,intersection,a-b,b-a and symmetric difference	Union is {1, 3, 5, 6, 7, 8},Intersection is {6, 7}, a-b is {1, 5},b-a is {8, 3}, Symmetric difference is {1, 3, 5, 8}	set_operation
94	Base Conversion	Convert 1101101111100 from base 2 to base 10.	7036	base_conversion
95	Curved surface area of a cylinder	What is the curved surface area of a cylinder of radius, 39 and height, 61?	CSA of cylinder = 14947.7	curved_surface_area_cylinder
96	Perimeter of Polygons	The perimeter of a 10 sided polygon with lengths of [110, 4, 55, 93, 68, 82, 30, 35, 45, 72]cm is:	594	perimeter_of_polygons
97	Power of Powers	The 15^2^4 = 15^(2*4) = 15^8	2562890625	power_of_powers
98	Quotient of Powers with Same Base	The Quotient of 2^3 and 2^5 = 2^(3-5) = 2^-2	0.25	quotient_of_power_same_base
99	Quotient of Powers with Same Power	The Quotient of 30^1 and 31^1 = (30/31)^1 = 0.967741935483871^1	0.967741935483871	quotient_of_power_same_power
100	complex Quadratic Equation	Find the roots of given Quadratic Equation 2x^2 + 9x + 3 = 0	simplified solution : ((-0.363, -4.137)), generalized solution : ((-9 + sqrt(57))/22, (-9 - sqrt(57))/22)	complex_quadratic
101	Leap Year or Not	Year 1924	is a leap year	is_leap_year
102	Minute to Hour conversion	Convert 292 minutes to Hours & Minutes	4 hours and 52 minutes	minutes_to_hours
103	Decimal to Binary Coded Decimal	BCD of Decimal Number 2596 is =	1024	decimal_to_bcd
104	Circumference	Circumference of circle with radius 17	106.81415022205297	circumference
105	Combine Like terms	9x^2	9x^2	combine_like_terms
106	signum function	signum of -885 is =	-1	signum_function
107	Conditional Probability	Someone tested positive for a nasty disease which only 1.53% of population have. Test sensitivity (true positive) is equal to SN= 93.62% whereas test specificity (true negative) SP= 93.01%. What is the probability that this guy really has that disease?	17.23%	conditional_probability
108	Arc length of Angle	Given radius, 22 and angle, 345. Find the arc length of the angle.	Arc length of the angle = 132.47049	arc_length
109	Binomial distribution	A manufacturer of metal pistons finds that, on average, 31.04% of the pistons they manufacture are rejected because they are incorrectly sized. What is the probability that a batch of 20 pistons will contain no more than 6 rejected pistons?	56.79	binomial_distribution
110	Stationary Points	f(x)=5*x^2 + 4	(0,4)	stationary_points