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	15+31=	46	addition
1	Subtraction	43-14=	29	subtraction
2	Multiplication	45*1=	45	multiplication
3	Division	72/45=	1.6	division
4	Binary Complement 1s	0011=	1100	binary_complement_1s
5	Modulo Division	14%68=	14	modulo_division
6	Square Root	sqrt(9)=	3	square_root
7	Power Rule Differentiation	9x^8	72x^7	power_rule_differentiation
8	Square	5^2=	25	square
9	LCM (Least Common Multiple)	LCM of 18 and 10 =	90	lcm
10	GCD (Greatest Common Denominator)	GCD of 5 and 17 =	1	gcd
11	Basic Algebra	10x + 9 = 10	1/10	basic_algebra
12	Logarithm	log2(32)	5	log
13	Easy Division	80/16 =	5	int_division
14	Decimal to Binary	Binary of 66=	1000010	decimal_to_binary
15	Binary to Decimal	011001010	202	binary_to_decimal
16	Fraction Division	(3/8)/(10/7)	21/80	divide_fractions
17	Integer Multiplication with 2x2 Matrix	0 * 2, 6], [0, 4 =	0,0],[0,0	multiply_int_to_22_matrix
18	Area of Triangle	Area of triangle with side lengths: 13 2 10 =	(7.843059660345589e-16+12.808688457449499j)	area_of_triangle
19	Triangle exists check	Does triangle with sides 33, 10 and 7 exist?	No	valid_triangle
20	Midpoint of the two point	(-1,-7),(13,-13)=	(6.0,-10.0)	midpoint_of_two_points
21	Factoring Quadratic	x^2+8x+7	(x+1)(x+7)	factoring
22	Third Angle of Triangle	Third angle of triangle with angles 47 and 37 =	96	third_angle_of_triangle
23	Solve a System of Equations in R^2	3x - 5y = -74, -3x + 9y = 114	x = -8, y = 10	system_of_equations
24	Distance between 2 points	Find the distance between (7, 7) and (3, -3)	sqrt(116)	distance_two_points
25	Pythagorean Theorem	The hypotenuse of a right triangle given the other two lengths 20 and 9 =	21.93	pythagorean_theorem
26	Linear Equations	5x + -8y = -25, -12x + -1y = -243	x = 19, y = 15	linear_equations
27	Prime Factorisation	Find prime factors of 16	[2, 2, 2, 2]	prime_factors
28	Fraction Multiplication	(3/1)*(5/3)	5	fraction_multiplication
29	Angle of a Regular Polygon	Find the angle of a regular polygon with 5 sides	108.0	angle_regular_polygon
30	Combinations of Objects	Number of combinations from 19 objects picked 2 at a time	171	combinations
31	Factorial	2! =	2	factorial
32	Surface Area of Cube	Surface area of cube with side = 1m is	6 m^2	surface_area_cube
33	Surface Area of Cuboid	Surface area of cuboid with sides = 9m, 16m, 20m is	1288 m^2	surface_area_cuboid
34	Surface Area of Cylinder	Surface area of cylinder with height = 7m and radius = 16m is	2312 m^2	surface_area_cylinder
35	Volum of Cube	Volume of cube with side = 12m is	1728 m^3	volume_cube
36	Volume of Cuboid	Volume of cuboid with sides = 11m, 19m, 8m is	1672 m^3	volume_cuboid
37	Volume of cylinder	Volume of cylinder with height = 9m and radius = 15m is	6361 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 = 26m and radius = 15m is	6126 m^3	volume_cone
40	Common Factors	Common Factors of 64 and 17 =	[1]	common_factors
41	Intersection of Two Lines	Find the point of intersection of the two lines: y = 10/6x + 3 and y = -1/3x + 10	(7/2, 53/6)	intersection_of_two_lines
42	Permutations	Number of Permutations from 14 objects picked 1 at a time =	14	permutation
43	Cross Product of 2 Vectors	[-16, -17, -11] X [12, -19, 5] =	[-294, -52, 508]	vector_cross
44	Compare Fractions	Which symbol represents the comparison between 7/2 and 1/7?	>	compare_fractions
45	Simple Interest	Simple interest for a principle amount of 7256 dollars, 6% rate of interest and for a time period of 2 years is =	870.72	simple_interest
46	Multiplication of two matrices	Multiply -6 3 10 4 9 9 -3 7 and 10 -9 5 2 -10 -5 6 -3 -7 2 1 -8	14 -2 -147 104 -155 -35	matrix_multiplication
47	Cube Root	cuberoot of 723 upto 2 decimal places is:	8.98	cube_root
48	Power Rule Integration	1x^5 + 2x^8 + 1x^5 + 10x^7 + 1x^6	(1/5)x^6 + (2/8)x^9 + (1/5)x^6 + (10/7)x^8 + (1/6)x^7 + c	power_rule_integration
49	Fourth Angle of Quadrilateral	Fourth angle of quadrilateral with angles 58 , 157, 113 =	32	fourth_angle_of_quadrilateral
50	Quadratic Equation	Zeros of the Quadratic Equation 14x^2+92x+17=0	[-0.19, -6.38]	quadratic_equation
51	HCF (Highest Common Factor)	HCF of 13 and 20 =	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	5^10 =	9765625	exponentiation
54	Confidence interval For sample S	The confidence interval for sample [266, 244, 292, 288, 230, 251, 211, 272, 260, 257, 231, 234, 254, 277, 202, 206, 258, 298, 243, 213, 214, 239, 247, 232, 203, 296, 238, 282, 222, 283, 261, 253, 252, 278, 215, 267, 212] with 90% confidence is	(255.6152095323176, 240.65506073795265)	confidence_interval
55	Comparing surds	Fill in the blanks 29^(1/1) _ 37^(1/8)	>	surds_comparison
56	Fibonacci Series	The Fibonacci Series of the first 10 numbers is ?	[0, 1, 1, 2, 3, 5, 8, 13, 21, 34]	fibonacci_series
57	Trigonometric Values	What is sin(45)?	1/√2	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[22, 32, 15, 45, 40, 34, 40, 29, 33, 43, 34, 19, 43, 17, 42]	The Mean is 32.53333333333333 , Standard Deviation is 95.71555555555555, Variance is 9.783432708183541	data_summary
60	Surface Area of Sphere	Surface area of Sphere with radius = 7m is	615.7521601035994 m^2	surface_area_sphere
61	Volume of Sphere	Volume of sphere with radius 18 m =	24429.024474314232 m^3	volume_sphere
62	nth Fibonacci number	What is the 76th Fibonacci number?	3416454622906716	nth_fibonacci_number
63	Profit or Loss Percent	Profit percent when CP = 300 and SP = 745 is:	148.33333333333334	profit_loss_percent
64	Binary to Hexidecimal	0011110	0x1e	binary_to_hex
65	Multiplication of 2 complex numbers	(15+4j) * (13+6j) =	(171+142j)	multiply_complex_numbers
66	Geometric Progression	For the given GP [7, 42, 252, 1512, 9072, 54432] ,Find the value of a,common ratio,9th term value, sum upto 11th term	The value of a is 7, common ratio is 6 , 9th term is 11757312 , sum upto 11th term is 507915877.0	geometric_progression
67	Geometric Mean of N Numbers	Geometric mean of 3 numbers 22 , 15 and 25 =	(221525)^(1/3) = 20.206200103110948	geometric_mean
68	Harmonic Mean of N Numbers	Harmonic mean of 3 numbers 37 , 33 and 53 =	3/((1/37) + (1/33) + (1/53)) = 39.371121476373965	harmonic_mean
69	Euclidian norm or L2 norm of a vector	Euclidian norm or L2 norm of the vector[492.40786515780576, 983.9467887251965, 631.4868422143192, 867.3371448756883, 563.3456646686222, 708.0397121576655] is:	1783.3521007855009	euclidian_norm
70	Angle between 2 vectors	angle between the vectors [541.0289697890829, 573.3715402714977, 323.21175522813905, 134.3110759527537, 485.181412466299, 734.1757394805238, 632.1836650961008, 874.4930077772807, 392.3682318405426, 198.18533509253734, 259.3024324493266, 692.6808468046293, 983.0594493368139, 246.1431141764312, 169.47055701867663, 179.3769672014288, 653.3731083951614, 608.0069028185225] and [716.8150260194301, 661.3439350537182, 503.6201707807608, 922.7936933135436, 887.4562350809547, 764.2289969841399, 743.9308000789802, 604.6893588822073, 185.60578793368342, 335.83315817451984, 969.7123500771294, 181.4419381940483, 275.5957393468893, 228.41527442819876, 971.7792535281106, 0.79249601650766, 878.4199844485163, 888.9960985572237] is:	NaN	angle_btw_vectors
71	Absolute difference between two numbers	Absolute difference between numbers -9 and -91 =	82	absolute_difference
72	Dot Product of 2 Vectors	[14, -20, -3] . [-3, -18, 15] =	273	vector_dot
73	Binary 2's Complement	2's complement of 100 =	100	binary_2s_complement
74	Inverse of a Matrix	Inverse of Matrix Matrix(77, 3, 65], [46, 99, 23], [31, 83, 47) is:	Matrix(196/18259, 2627/127813, -3183/127813], [-207/36518, 802/127813, 1219/255626], [107/36518, -3149/127813, 7485/255626)	invert_matrix
75	Area of a Sector	Given radius, 15 and angle, 235. Find the area of the sector.	Area of sector = 461.42142	sector_area
76	Mean and Median	Given the series of numbers [41, 17, 55, 6, 9, 93, 97, 59, 45, 54]. find the arithmatic mean and mdian of the series	Arithmetic mean of the series is 47.6 and Arithmetic median of this series is 49.5	mean_median
77	Determinant to 2x2 Matrix	Det(55, 32], [27, 54) =	2106	int_matrix_22_determinant
78	Compound Interest	Compound interest for a principle amount of 4870 dollars, 3% rate of interest and for a time period of 8 year is =	6169.17	compound_interest
79	Decimal to Hexadecimal	Binary of 35=	0x23	decimal_to_hexadeci
80	Percentage of a number	What is 98% of 63?	Required percentage = 61.74%	percentage
81	Celsius To Fahrenheit	Convert -6 degrees Celsius to degrees Fahrenheit =	21.2	celsius_to_fahrenheit
82	AP Term Calculation	Find the term number 33 of the AP series: 72, 140, 208 ...	2248	arithmetic_progression_term
83	AP Sum Calculation	Find the sum of first 72 terms of the AP series: 41, 110, 179 ...	179316.0	arithmetic_progression_sum
84	Converts decimal to octal	The decimal number 406 in Octal is:	0o626	decimal_to_octal
85	Converts decimal to Roman Numerals	The number 397 in Roman Numerals is:	CCCXCVII	decimal_to_roman_numerals
86	Degrees to Radians	Angle 122 in radians is =	2.13	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(tan(x)+4*x^(-3))/dx	tan(x)^2 + 1 - 12/x^4	differentiation
89	Definite Integral of Quadratic Equation	The definite integral within limits 0 to 1 of the equation 54x^2 + 77x + 69 is =	125.5	definite_integral
90	isprime	95	False	is_prime
91	Binary Coded Decimal to Integer	Integer of Binary Coded Decimal 4 is =	16643	bcd_to_decimal
92	Complex To Polar Form	rexp(itheta) =	1.41exp(i-2.36)	complex_to_polar
93	Union,Intersection,Difference of Two Sets	Given the two sets a={9, 5, 6} ,b={8, 1, 6}.Find the Union,intersection,a-b,b-a and symmetric difference	Union is {1, 5, 6, 8, 9},Intersection is {6}, a-b is {9, 5},b-a is {8, 1}, Symmetric difference is {1, 5, 8, 9}	set_operation
94	Base Conversion	Convert 121143 from base 7 to base 8.	53020	base_conversion