mathgenerator/README.md

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	31+18=	49	addition
1	Subtraction	6-2=	4	subtraction
2	Multiplication	5*17=	85	multiplication
3	Division	38/33=	1.1515151515151516	division
4	Binary Complement 1s	0000010101=	1111101010	binary_complement_1s
5	Modulo Division	55%0=	0	modulo_division
6	Square Root	sqrt(4)=	2	square_root
7	Power Rule Differentiation	6x^9	54x^8	power_rule_differentiation
8	Square	12^2=	144	square
9	LCM (Least Common Multiple)	LCM of 11 and 11 =	11	lcm
10	GCD (Greatest Common Denominator)	GCD of 15 and 14 =	1	gcd
11	Basic Algebra	5x + 6 = 6	0	basic_algebra
12	Logarithm	log2(256)	8	log
13	Easy Division	315/15 =	21	int_division
14	Decimal to Binary	Binary of 93=	1011101	decimal_to_binary
15	Binary to Decimal	111	7	binary_to_decimal
16	Fraction Division	(10/5)/(6/9)	3	divide_fractions
17	Integer Multiplication with 2x2 Matrix	6 * 10, 9], [10, 1 =	60,54],[60,6	multiply_int_to_22_matrix
18	Area of Triangle	Area of triangle with side lengths: 18 4 19 =	35.6151302117513	area_of_triangle
19	Triangle exists check	Does triangle with sides 24, 16 and 17 exist?	Yes	valid_triangle
20	Midpoint of the two point	(10,-8),(1,-1)=	(5.5,-4.5)	midpoint_of_two_points
21	Factoring Quadratic	x^2+5x+4	(x+4)(x+1)	factoring
22	Third Angle of Triangle	Third angle of triangle with angles 65 and 24 =	91	third_angle_of_triangle
23	Solve a System of Equations in R^2	-4x - 2y = -42, 3x + 6y = 45	x = 9, y = 3	system_of_equations
24	Distance between 2 points	Find the distance between (-2, -19) and (-10, 8)	sqrt(793)	distance_two_points
25	Pythagorean Theorem	The hypotenuse of a right triangle given the other two lengths 10 and 5 =	11.18	pythagorean_theorem
26	Linear Equations	12x + -15y = -288, 17x + -4y = -270	x = -14, y = 8	linear_equations
27	Prime Factorisation	Find prime factors of 162	[2, 3, 3, 3, 3]	prime_factors
28	Fraction Multiplication	(8/5)*(6/3)	16/5	fraction_multiplication
29	Angle of a Regular Polygon	Find the angle of a regular polygon with 19 sides	161.05	angle_regular_polygon
30	Combinations of Objects	Number of combinations from 15 objects picked 9 at a time	5005	combinations
31	Factorial	1! =	1	factorial
32	Surface Area of Cube	Surface area of cube with side = 16m is	1536 m^2	surface_area_cube
33	Surface Area of Cuboid	Surface area of cuboid with sides = 9m, 13m, 11m is	718 m^2	surface_area_cuboid
34	Surface Area of Cylinder	Surface area of cylinder with height = 34m and radius = 12m is	3468 m^2	surface_area_cylinder
35	Volum of Cube	Volume of cube with side = 10m is	1000 m^3	volume_cube
36	Volume of Cuboid	Volume of cuboid with sides = 19m, 12m, 5m is	1140 m^3	volume_cuboid
37	Volume of cylinder	Volume of cylinder with height = 50m and radius = 7m is	7696 m^3	volume_cylinder
38	Surface Area of cone	Surface area of cone with height = 14m and radius = 18m is	2307 m^2	surface_area_cone
39	Volume of cone	Volume of cone with height = 34m and radius = 5m is	890 m^3	volume_cone
40	Common Factors	Common Factors of 32 and 73 =	[1]	common_factors
41	Intersection of Two Lines	Find the point of intersection of the two lines: y = 8/5x - 1 and y = 2/4x - 3	(-20/11, -43/11)	intersection_of_two_lines
42	Permutations	Number of Permutations from 19 objects picked 9 at a time =	33522128640	permutation
43	Cross Product of 2 Vectors	[-5, -11, -7] X [-11, -9, 17] =	[-250, 162, -76]	vector_cross
44	Compare Fractions	Which symbol represents the comparison between 9/3 and 1/8?	>	compare_fractions
45	Simple Interest	Simple interest for a principle amount of 9909 dollars, 9% rate of interest and for a time period of 3 years is =	2675.43	simple_interest
46	Multiplication of two matrices	Multiply -4 0 1 -9 8 3 and -2 4 -5 -8 -4 9 8 1	8 -16 20 32 34 -77 -77 -17 -28 59 -16 -61	matrix_multiplication
47	Cube Root	cuberoot of 681 upto 2 decimal places is:	8.8	cube_root
48	Power Rule Integration	8x^9 + 2x^3	(8/9)x^10 + (2/3)x^4 + c	power_rule_integration
49	Fourth Angle of Quadrilateral	Fourth angle of quadrilateral with angles 155 , 8, 53 =	144	fourth_angle_of_quadrilateral
50	Quadratic Equation	Zeros of the Quadratic Equation 29x^2+151x+87=0	[-0.66, -4.55]	quadratic_equation
51	HCF (Highest Common Factor)	HCF of 2 and 7 =	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 18 =	1/216	dice_sum_probability
53	Exponentiation	6^1 =	6	exponentiation
54	Confidence interval For sample S	The confidence interval for sample [276, 270, 278, 269, 201, 297, 206, 249, 202, 256, 231, 257, 294, 218, 245, 287, 212, 240, 290, 224, 237, 283, 216, 272, 281, 210, 207, 253, 258, 239, 233, 252, 259, 291] with 95% confidence is	(259.6528701903449, 239.93536510377274)	confidence_interval
55	Comparing surds	Fill in the blanks 56^(1/8) _ 24^(1/4)	<	surds_comparison
56	Fibonacci Series	The Fibonacci Series of the first 17 numbers is ?	[0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987]	fibonacci_series
57	Trigonometric Values	What is tan(90)?	∞	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[39, 7, 46, 21, 41, 29, 27, 44, 47, 25, 42, 46, 36, 14, 20]	The Mean is 32.266666666666666 , Standard Deviation is 153.5288888888889, Variance is 12.390677499188206	data_summary
60	Surface Area of Sphere	Surface area of Sphere with radius = 20m is	5026.548245743669 m^2	surface_area_sphere
61	Volume of Sphere	Volume of sphere with radius 14 m =	11494.040321933857 m^3	volume_sphere
62	nth Fibonacci number	What is the 97th Fibonacci number?	83621143489848688640	nth_fibonacci_number
63	Profit or Loss Percent	Loss percent when CP = 534 and SP = 142 is:	73.40823970037454	profit_loss_percent
64	Binary to Hexidecimal	100101000	0x128	binary_to_hex
65	Multiplication of 2 complex numbers	(-12+12j) * (-13-18j) =	(372+60j)	multiply_complex_numbers
66	Geometric Progression	For the given GP [3, 33, 363, 3993, 43923, 483153] ,Find the value of a,common ratio,6th term value, sum upto 10th term	The value of a is 3, common ratio is 11 , 6th term is 483153 , sum upto 10th term is 7781227380.0	geometric_progression
67	Geometric Mean of N Numbers	Geometric mean of 2 numbers 71 and 22 =	(71*22)^(1/2) = 39.52214569073901	geometric_mean
68	Harmonic Mean of N Numbers	Harmonic mean of 2 numbers 67 and 68 =	2/((1/67) + (1/68)) = 67.49629629629631	harmonic_mean
69	Euclidian norm or L2 norm of a vector	Euclidian norm or L2 norm of the vector[989.7678494916759, 897.0852535908015, 478.723813700917, 262.3640311459466, 3.9396467807750746, 807.7450450578759, 631.0200102495029, 231.8997162556714, 7.832244619406126, 986.8740956956434, 764.8397716335004, 156.12003232583328, 859.4725406552614, 658.9347671527104, 146.78083360953374, 799.2621622325604, 930.4734264992945, 779.3457539450127] is:	2841.934815032343	euclidian_norm
70	Angle between 2 vectors	angle between the vectors [54.78, 647.84, 558.26, 220.69, 895.33, 874.45, 614.25] and [245.71, 329.9, 763.1, 443.48, 56.7, 28.8, 820.93] is:	0.89 radians	angle_btw_vectors
71	Absolute difference between two numbers	Absolute difference between numbers -52 and -30 =	22	absolute_difference
72	Dot Product of 2 Vectors	[-18, 20, 1] . [-14, 6, 7] =	379	vector_dot
73	Binary 2's Complement	2's complement of 1110011011 =	1100101	binary_2s_complement
74	Inverse of a Matrix	Inverse of Matrix Matrix(29, 41, 11], [47, 59, 43], [31, 79, 83) is:	Matrix(-125/3422, 1267/20532, -557/20532], [107/1711, -1033/20532, 365/20532], [-157/3422, 85/3422, 9/1711)	invert_matrix
75	Area of a Sector	Given radius, 6 and angle, 133. Find the area of the sector.	Area of sector = 41.78318	sector_area
76	Mean and Median	Given the series of numbers [51, 66, 3, 85, 46, 45, 31, 93, 95, 7]. find the arithmatic mean and mdian of the series	Arithmetic mean of the series is 52.2 and Arithmetic median of this series is 48.5	mean_median
77	Determinant to 2x2 Matrix	Det(70, 9], [23, 30) =	1893	int_matrix_22_determinant
78	Compound Interest	Compound interest for a principle amount of 5669 dollars, 7% rate of interest and for a time period of 5 year is =	7951.07	compound_interest
79	Decimal to Hexadecimal	Binary of 906=	0x38a	decimal_to_hexadeci
80	Percentage of a number	What is 41% of 37?	Required percentage = 15.17%	percentage
81	Celsius To Fahrenheit	Convert -21 degrees Celsius to degrees Fahrenheit =	-5.800000000000004	celsius_to_fahrenheit
82	AP Term Calculation	Find the term number 44 of the AP series: -12, 23, 58 ...	1493	arithmetic_progression_term
83	AP Sum Calculation	Find the sum of first 14 terms of the AP series: 15, -18, -51 ...	-2793.0	arithmetic_progression_sum
84	Converts decimal to octal	The decimal number 1517 in Octal is:	0o2755	decimal_to_octal
85	Converts decimal to Roman Numerals	The number 3971 in Roman Numerals is:	MMMCMLXXI	decimal_to_roman_numerals
86	Degrees to Radians	Angle 292 in radians is =	5.1	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(exp(x)+3*x^2)/dx	6*x + exp(x)	differentiation
89	Definite Integral of Quadratic Equation	The definite integral within limits 0 to 1 of the equation 35x^2 + 35x + 12 is =	41.1667	definite_integral
90	isprime	98	False	is_prime
91	Binary Coded Decimal to Integer	Integer of Binary Coded Decimal 6 is =	25496	bcd_to_decimal
92	Complex To Polar Form	rexp(itheta) =	22.2exp(i2.52)	complex_to_polar
93	Union,Intersection,Difference of Two Sets	Given the two sets a={8, 9, 2, 7} ,b={1, 4}.Find the Union,intersection,a-b,b-a and symmetric difference	Union is {1, 2, 4, 7, 8, 9},Intersection is set(), a-b is {8, 9, 2, 7},b-a is {1, 4}, Symmetric difference is {1, 2, 4, 7, 8, 9}	set_operation
94	Base Conversion	Convert 38238 from base 10 to base 2.	1001010101011110	base_conversion
95	Curved surface area of a cylinder	What is the curved surface area of a cylinder of radius, 30 and height, 20?	CSA of cylinder = 3769.91	curved_surface_area_cylinder
96	Perimeter of Polygons	The perimeter of a 9 sided polygon with lengths of [90, 21, 55, 45, 23, 95, 62, 15, 111]cm is:	517	perimeter_of_polygons
97	Power of Powers	The 28^9^5 = 28^(9*5) = 28^45	132468131465955881734001738124033446011491012025292784170872864768	power_of_powers
98	Quotient of Powers with Same Base	The Quotient of 17^2 and 17^2 = 17^(2-2) = 17^0	1	quotient_of_power_same_base
99	Quotient of Powers with Same Power	The Quotient of 33^8 and 33^8 = (33/33)^8 = 1.0^8	1.0	quotient_of_power_same_power
100	complex Quadratic Equation	Find the roots of given Quadratic Equation 3x^2 + 7x + 4 = 0	simplified solution : ((-1.0, -1.333)), generalized solution : ((-7 + 1)/23, (-7 - 1)/23)	complex_quadratic
101	Leap Year or Not	Year 1950	is not a leap year	is_leap_year
102	Minute to Hour conversion	Convert 659 minutes to Hours & Minutes	10 hours and 59 minutes	minutes_to_hours
103	Decimal to Binary Coded Decimal	BCD of Decimal Number 5285 is =	14105	decimal_to_bcd
104	Circumference	Circumference of circle with radius 31	194.85714285714286	circumference
105	Combine Like terms	3x^8 + 10x^8 + 9x^3 + 4x^5 + 7x^7 + 3x^8 + 1x^2 + 9x^1 + 5x^2 + 3x^9	9x^1 + 6x^2 + 9x^3 + 4x^5 + 7x^7 + 16x^8 + 3x^9	combine_like_terms
105	Conditional Probability	Someone tested positive for a nasty disease which only 0.55% of population have. Test sensitivity (true positive) is equal to SN= 96.72% whereas test specificity (true negative) SP= 93.78%. What is the probability that this guy really has that disease?	7.92%	conditional_probability