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	29+29=	58	addition
1	Subtraction	10-8=	2	subtraction
2	Multiplication	96*0=	0	multiplication
3	Division	25/95=	0.2631578947368421	division
4	Binary Complement 1s	100101100=	011010011	binary_complement_1s
5	Modulo Division	74%50=	24	modulo_division
6	Square Root	sqrt(49)=	7	square_root
7	Power Rule Differentiation	10x^7 + 7x^5 + 5x^8	70x^6 + 35x^4 + 40x^7	power_rule_differentiation
8	Square	9^2=	81	square
9	LCM (Least Common Multiple)	LCM of 19 and 7 =	133	lcm
10	GCD (Greatest Common Denominator)	GCD of 1 and 7 =	1	gcd
11	Basic Algebra	3x + 2 = 8	6	basic_algebra
12	Logarithm	log2(128)	7	log
13	Easy Division	228/12 =	19	int_division
14	Decimal to Binary	Binary of 37=	100101	decimal_to_binary
15	Binary to Decimal	10100001	161	binary_to_decimal
16	Fraction Division	(8/2)/(8/2)	1	divide_fractions
17	Integer Multiplication with 2x2 Matrix	6 * 3, 7], [10, 6 =	18,42],[60,36	multiply_int_to_22_matrix
18	Area of Triangle	Area of triangle with side lengths: 2 1 19 =	(5.449334243437888e-15+88.99438184514796j)	area_of_triangle
19	Triangle exists check	Does triangle with sides 48, 16 and 30 exist?	No	valid_triangle
20	Midpoint of the two point	(2,-5),(12,-7)=	(7.0,-6.0)	midpoint_of_two_points
21	Factoring Quadratic	x^2-18x+81	(x-9)(x-9)	factoring
22	Third Angle of Triangle	Third angle of triangle with angles 45 and 1 =	134	third_angle_of_triangle
23	Solve a System of Equations in R^2	-7x - 10y = -133, 7x - 2y = 49	x = 9, y = 7	system_of_equations
24	Distance between 2 points	Find the distance between (-10, 7) and (16, 6)	sqrt(677)	distance_two_points
25	Pythagorean Theorem	The hypotenuse of a right triangle given the other two lengths 10 and 8 =	12.81	pythagorean_theorem
26	Linear Equations	18x + -2y = -174, -13x + 6y = 194	x = -8, y = 15	linear_equations
27	Prime Factorisation	Find prime factors of 16	[2, 2, 2, 2]	prime_factors
28	Fraction Multiplication	(6/8)*(2/5)	3/10	fraction_multiplication
29	Angle of a Regular Polygon	Find the angle of a regular polygon with 17 sides	158.82	angle_regular_polygon
30	Combinations of Objects	Number of combinations from 17 objects picked 3 at a time	680	combinations
31	Factorial	1! =	1	factorial
32	Surface Area of Cube	Surface area of cube with side = 17m is	1734 m^2	surface_area_cube
33	Surface Area of Cuboid	Surface area of cuboid with sides = 12m, 11m, 1m is	310 m^2	surface_area_cuboid
34	Surface Area of Cylinder	Surface area of cylinder with height = 38m and radius = 16m is	5428 m^2	surface_area_cylinder
35	Volum of Cube	Volume of cube with side = 11m is	1331 m^3	volume_cube
36	Volume of Cuboid	Volume of cuboid with sides = 17m, 19m, 8m is	2584 m^3	volume_cuboid
37	Volume of cylinder	Volume of cylinder with height = 35m and radius = 19m is	39694 m^3	volume_cylinder
38	Surface Area of cone	Surface area of cone with height = 8m and radius = 19m is	2364 m^2	surface_area_cone
39	Volume of cone	Volume of cone with height = 43m and radius = 13m is	7609 m^3	volume_cone
40	Common Factors	Common Factors of 21 and 65 =	[1]	common_factors
41	Intersection of Two Lines	Find the point of intersection of the two lines: y = 5/4x - 1 and y = 0/4x - 5	(-16/5, -5)	intersection_of_two_lines
42	Permutations	Number of Permutations from 10 objects picked 5 at a time =	30240	permutation
43	Cross Product of 2 Vectors	[12, -16, 4] X [-14, 10, -9] =	[104, 52, -104]	vector_cross
44	Compare Fractions	Which symbol represents the comparison between 7/10 and 7/5?	<	compare_fractions
45	Simple Interest	Simple interest for a principle amount of 6138 dollars, 9% rate of interest and for a time period of 8 years is =	4419.36	simple_interest
46	Multiplication of two matrices	Multiply -8 -8 -2 -9 and -10 -8 9 -9	8 136 -61 97	matrix_multiplication
47	Cube Root	cuberoot of 633 upto 2 decimal places is:	8.59	cube_root
48	Power Rule Integration	2x^5 + 3x^3 + 4x^7 + 9x^1 + 6x^9	(2/5)x^6 + (3/3)x^4 + (4/7)x^8 + (9/1)x^2 + (6/9)x^10 + c	power_rule_integration
49	Fourth Angle of Quadrilateral	Fourth angle of quadrilateral with angles 79 , 44, 37 =	200	fourth_angle_of_quadrilateral
50	Quadratic Equation	Zeros of the Quadratic Equation 79x^2+182x+98=0	[-0.86, -1.45]	quadratic_equation
51	HCF (Highest Common Factor)	HCF of 1 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 2 =	1/6	dice_sum_probability
53	Exponentiation	6^9 =	10077696	exponentiation
54	Confidence interval For sample S	The confidence interval for sample [260, 249, 281, 261, 236, 237, 275, 229, 256, 242, 277, 240, 278, 293, 271, 255, 216, 292, 200, 298, 282, 223] with 99% confidence is	(271.2437114485249, 242.48356127874783)	confidence_interval
55	Comparing surds	Fill in the blanks 71^(1/5) _ 31^(1/8)	>	surds_comparison
56	Fibonacci Series	The Fibonacci Series of the first 19 numbers is ?	[0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584]	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 10 sides =	1440	sum_of_polygon_angles
59	Mean,Standard Deviation,Variance	Find the mean,standard deviation and variance for the data[13, 22, 36, 17, 9, 39, 50, 14, 32, 40, 37, 48, 47, 28, 47]	The Mean is 31.933333333333334 , Standard Deviation is 182.59555555555553, Variance is 13.51279229306643	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 61 m =	950775.7894726198 m^3	volume_sphere
62	nth Fibonacci number	What is the 85th Fibonacci number?	259695496911123328	nth_fibonacci_number
63	Profit or Loss Percent	Profit percent when CP = 353 and SP = 752 is:	113.03116147308782	profit_loss_percent
64	Binary to Hexidecimal	111101011	0x1eb	binary_to_hex
65	Multiplication of 2 complex numbers	(-19-9j) * (-17-2j) =	(305+191j)	multiply_complex_numbers
66	Geometric Progression	For the given GP [7, 77, 847, 9317, 102487, 1127357] ,Find the value of a,common ratio,6th term value, sum upto 7th term	The value of a is 7, common ratio is 11 , 6th term is 1127357 , sum upto 7th term is 13641019.0	geometric_progression
67	Geometric Mean of N Numbers	Geometric mean of 3 numbers 32 , 5 and 18 =	(32518)^(1/3) = 14.227573217960249	geometric_mean
68	Harmonic Mean of N Numbers	Harmonic mean of 3 numbers 48 , 85 and 79 =	3/((1/48) + (1/85) + (1/79)) = 66.28916158223076	harmonic_mean
69	Euclidian norm or L2 norm of a vector	Euclidian norm or L2 norm of the vector[743.1109024649227, 951.2861991520674, 821.2679183199273, 831.5922742303677, 972.3005129207023, 775.1712986008336, 869.5254070360901, 34.05779748860371, 495.5299489221041, 516.2458991121815, 620.0871728488738, 12.438787805084894, 967.8138977993306, 627.6791615554401, 129.81896901435886, 566.4442009627315, 521.5300881726977, 741.5947979192599] is:	2917.827115551868	euclidian_norm
70	Angle between 2 vectors	angle between the vectors [341.1766244080324, 386.90517658729595, 306.3074773969527, 542.1138441520038, 149.80203485453225, 85.6719016065689, 875.0827941729921, 292.0422074695527, 312.8929536855103, 408.95388654647445, 119.81564007869672, 177.5529661884936, 360.30983184002406, 111.71502530193955, 29.528755078141455, 478.2846569662712, 855.8978282979257] and [230.45166329807688, 922.2895458023412, 219.89492715268733, 375.8793126730714, 731.2614314505195, 277.5554009411926, 329.1490487358273, 477.7600322879586, 168.93745868538923, 423.6897582803929, 724.5555882496458, 519.6421532094823, 158.0479000313908, 679.3674240323584, 496.6795371750926, 853.4421897526636, 715.2567898992207] is:	NaN	angle_btw_vectors
71	Absolute difference between two numbers	Absolute difference between numbers 53 and -70 =	123	absolute_difference
72	Dot Product of 2 Vectors	[-8, -4, -10] . [-9, -6, -9] =	186	vector_dot
73	Binary 2's Complement	2's complement of =		binary_2s_complement
74	Inverse of a Matrix	Inverse of Matrix Matrix(43, 95, 41], [46, 80, 67], [57, 75, 71) is:	Matrix(131/7038, -367/3519, 617/7038], [553/35190, 358/17595, -199/7038], [-37/1173, 73/1173, -31/1173)	invert_matrix
75	Area of a Sector	Given radius, 40 and angle, 199. Find the area of the sector.	Area of sector = 2778.56417	sector_area
76	Mean and Median	Given the series of numbers [44, 64, 22, 37, 63, 56, 27, 62, 98, 72]. find the arithmatic mean and mdian of the series	Arithmetic mean of the series is 54.5 and Arithmetic median of this series is 59.0	mean_median
77	Determinant to 2x2 Matrix	Det(73, 52], [55, 80) =	2980	int_matrix_22_determinant
78	Compound Interest	Compound Interest for a principle amount of 8506 dollars, 8% rate of interest and for a time period of 10 compounded monthly is =	8506.0	compound_interest
79	Decimal to Hexadecimal	Binary of 293=	0x125	decimal_to_hexadeci
80	Percentage of a number	What is 57% of 4?	Required percentage = 2.28%	percentage
81	Celsius To Fahrenheit	Convert 57 degrees Celsius to degrees Fahrenheit =	134.60000000000002	celsius_to_fahrenheit
82	AP Term Calculation	Find the term number 89 of the AP series: 20, 115, 210 ...	8380	arithmetic_progression_term
83	AP Sum Calculation	Find the sum of first 98 terms of the AP series: -58, -106, -154 ...	-233828.0	arithmetic_progression_sum
84	Converts decimal to octal	The decimal number 1716 in Octal is:	0o3264	decimal_to_octal
85	Converts decimal to Roman Numerals	The number 587 in Roman Numerals is:	DLXXXVII	decimal_to_roman_numerals
86	Degrees to Radians	Angle 245 in radians is =	4.28	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(exp(x)+5*x^(-2))/dx	exp(x) - 10/x^3	differentiation
89	Definite Integral of Quadratic Equation	The definite integral within limits 0 to 1 of the equation 39x^2 + 72x + 74 is =	123.0	definite_integral