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circumference of circle fixes

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lukew3
2020-10-23 13:45:51 -04:00
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@@ -31,107 +31,108 @@ problem, solution = mathgen.genById(0)
| Id | Skill | Example problem | Example Solution | Function Name | | Id | Skill | Example problem | Example Solution | Function Name |
|------|-----------------------------------|--------------------|-----------------------|--------------------------| |------|-----------------------------------|--------------------|-----------------------|--------------------------|
[//]: # list start [//]: # list start
| 0 | Addition | 7+40= | 47 | addition | | 0 | Addition | 15+24= | 39 | addition |
| 1 | Subtraction | 52-51= | 1 | subtraction | | 1 | Subtraction | 25-1= | 24 | subtraction |
| 2 | Multiplication | 3*21= | 63 | multiplication | | 2 | Multiplication | 1*88= | 88 | multiplication |
| 3 | Division | 46/50= | 0.92 | division | | 3 | Division | 42/80= | 0.525 | division |
| 4 | Binary Complement 1s | 1011= | 0100 | binary_complement_1s | | 4 | Binary Complement 1s | 00100011= | 11011100 | binary_complement_1s |
| 5 | Modulo Division | 17%78= | 17 | modulo_division | | 5 | Modulo Division | 27%18= | 9 | modulo_division |
| 6 | Square Root | sqrt(36)= | 6 | square_root | | 6 | Square Root | sqrt(36)= | 6 | square_root |
| 7 | Power Rule Differentiation | 8x^8 + 1x^4 | 64x^7 + 4x^3 | power_rule_differentiation | | 7 | Power Rule Differentiation | 1x^7 | 7x^6 | power_rule_differentiation |
| 8 | Square | 14^2= | 196 | square | | 8 | Square | 15^2= | 225 | square |
| 9 | LCM (Least Common Multiple) | LCM of 10 and 17 = | 170 | lcm | | 9 | LCM (Least Common Multiple) | LCM of 19 and 6 = | 114 | lcm |
| 10 | GCD (Greatest Common Denominator) | GCD of 8 and 8 = | 8 | gcd | | 10 | GCD (Greatest Common Denominator) | GCD of 14 and 17 = | 1 | gcd |
| 11 | Basic Algebra | 1x + 2 = 3 | 1 | basic_algebra | | 11 | Basic Algebra | 8x + 10 = 10 | 0 | basic_algebra |
| 12 | Logarithm | log3(9) | 2 | log | | 12 | Logarithm | log3(3) | 1 | log |
| 13 | Easy Division | 17/1 = | 17 | int_division | | 13 | Easy Division | 169/13 = | 13 | int_division |
| 14 | Decimal to Binary | Binary of 23= | 10111 | decimal_to_binary | | 14 | Decimal to Binary | Binary of 55= | 110111 | decimal_to_binary |
| 15 | Binary to Decimal | 100 | 4 | binary_to_decimal | | 15 | Binary to Decimal | 0 | 0 | binary_to_decimal |
| 16 | Fraction Division | (10/1)/(2/7) | 35 | divide_fractions | | 16 | Fraction Division | (1/3)/(8/4) | 1/6 | divide_fractions |
| 17 | Integer Multiplication with 2x2 Matrix | 1 * [[8, 4], [9, 3]] = | [[8,4],[9,3]] | multiply_int_to_22_matrix | | 17 | Integer Multiplication with 2x2 Matrix | 2 * [[6, 1], [9, 2]] = | [[12,2],[18,4]] | multiply_int_to_22_matrix |
| 18 | Area of Triangle | Area of triangle with side lengths: 16 5 7 = | (2.5717582782094417e-15+42j) | area_of_triangle | | 18 | Area of Triangle | Area of triangle with side lengths: 10 12 1 = | (5.827134701491688e-16+9.51643315533714j) | area_of_triangle |
| 19 | Triangle exists check | Does triangle with sides 13, 45 and 45 exist? | Yes | valid_triangle | | 19 | Triangle exists check | Does triangle with sides 24, 11 and 22 exist? | Yes | valid_triangle |
| 20 | Midpoint of the two point | (17,11),(7,9)= | (12.0,10.0) | midpoint_of_two_points | | 20 | Midpoint of the two point | (-1,6),(4,13)= | (1.5,9.5) | midpoint_of_two_points |
| 21 | Factoring Quadratic | x^2-1x-6 | (x+2)(x-3) | factoring | | 21 | Factoring Quadratic | x^2-15x+54 | (x-6)(x-9) | factoring |
| 22 | Third Angle of Triangle | Third angle of triangle with angles 20 and 30 = | 130 | third_angle_of_triangle | | 22 | Third Angle of Triangle | Third angle of triangle with angles 30 and 49 = | 101 | third_angle_of_triangle |
| 23 | Solve a System of Equations in R^2 | 9x - 9y = -54, 4x + 9y = -11 | x = -5, y = 1 | system_of_equations | | 23 | Solve a System of Equations in R^2 | -x + 3y = 23, 2x + 6y = 74 | x = 7, y = 10 | system_of_equations |
| 24 | Distance between 2 points | Find the distance between (21, 19) and (16, -5) | sqrt(601) | distance_two_points | | 24 | Distance between 2 points | Find the distance between (-2, -1) and (9, 21) | sqrt(605) | distance_two_points |
| 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 20 and 19 = | 27.59 | pythagorean_theorem | | 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 1 and 2 = | 2.24 | pythagorean_theorem |
| 26 | Linear Equations | -3x + -4y = -23, 20x + -8y = -540 | x = -19, y = 20 | linear_equations | | 26 | Linear Equations | -3x + 5y = 47, -2x + 5y = 63 | x = 16, y = 19 | linear_equations |
| 27 | Prime Factorisation | Find prime factors of 77 | [7, 11] | prime_factors | | 27 | Prime Factorisation | Find prime factors of 58 | [2, 29] | prime_factors |
| 28 | Fraction Multiplication | (10/6)*(1/8) | 5/24 | fraction_multiplication | | 28 | Fraction Multiplication | (3/5)*(5/9) | 1/3 | fraction_multiplication |
| 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 15 sides | 156.0 | angle_regular_polygon | | 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 6 sides | 120.0 | angle_regular_polygon |
| 30 | Combinations of Objects | Number of combinations from 11 objects picked 8 at a time | 165 | combinations | | 30 | Combinations of Objects | Number of combinations from 14 objects picked 8 at a time | 3003 | combinations |
| 31 | Factorial | 4! = | 24 | factorial | | 31 | Factorial | 1! = | 1 | factorial |
| 32 | Surface Area of Cube | Surface area of cube with side = 8m is | 384 m^2 | surface_area_cube | | 32 | Surface Area of Cube | Surface area of cube with side = 10m is | 600 m^2 | surface_area_cube |
| 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 4m, 4m, 3m is | 80 m^2 | surface_area_cuboid | | 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 7m, 20m, 12m is | 928 m^2 | surface_area_cuboid |
| 34 | Surface Area of Cylinder | Surface area of cylinder with height = 47m and radius = 3m is | 942 m^2 | surface_area_cylinder | | 34 | Surface Area of Cylinder | Surface area of cylinder with height = 33m and radius = 6m is | 1470 m^2 | surface_area_cylinder |
| 35 | Volum of Cube | Volume of cube with side = 10m is | 1000 m^3 | volume_cube | | 35 | Volum of Cube | Volume of cube with side = 18m is | 5832 m^3 | volume_cube |
| 36 | Volume of Cuboid | Volume of cuboid with sides = 6m, 7m, 11m is | 462 m^3 | volume_cuboid | | 36 | Volume of Cuboid | Volume of cuboid with sides = 3m, 20m, 20m is | 1200 m^3 | volume_cuboid |
| 37 | Volume of cylinder | Volume of cylinder with height = 41m and radius = 12m is | 18547 m^3 | volume_cylinder | | 37 | Volume of cylinder | Volume of cylinder with height = 14m and radius = 10m is | 4398 m^3 | volume_cylinder |
| 38 | Surface Area of cone | Surface area of cone with height = 11m and radius = 9m is | 656 m^2 | surface_area_cone | | 38 | Surface Area of cone | Surface area of cone with height = 19m and radius = 1m is | 62 m^2 | surface_area_cone |
| 39 | Volume of cone | Volume of cone with height = 50m and radius = 18m is | 16964 m^3 | volume_cone | | 39 | Volume of cone | Volume of cone with height = 17m and radius = 13m is | 3008 m^3 | volume_cone |
| 40 | Common Factors | Common Factors of 6 and 51 = | [1, 3] | common_factors | | 40 | Common Factors | Common Factors of 81 and 74 = | [1] | common_factors |
| 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = 2x + 7 and y = -8/2x - 1 | (-4/3, 13/3) | intersection_of_two_lines | | 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = -7/2x - 5 and y = -10/4x + 6 | (-11, 67/2) | intersection_of_two_lines |
| 42 | Permutations | Number of Permutations from 18 objects picked 3 at a time = | 4896 | permutation | | 42 | Permutations | Number of Permutations from 17 objects picked 8 at a time = | 980179200 | permutation |
| 43 | Cross Product of 2 Vectors | [-18, 10, 2] X [-13, 16, 16] = | [128, 262, -158] | vector_cross | | 43 | Cross Product of 2 Vectors | [3, -10, 2] X [8, 8, -9] = | [74, 43, 104] | vector_cross |
| 44 | Compare Fractions | Which symbol represents the comparison between 9/5 and 10/7? | > | compare_fractions | | 44 | Compare Fractions | Which symbol represents the comparison between 5/6 and 10/7? | < | compare_fractions |
| 45 | Simple Interest | Simple interest for a principle amount of 7207 dollars, 3% rate of interest and for a time period of 7 years is = | 1513.47 | simple_interest | | 45 | Simple Interest | Simple interest for a principle amount of 1332 dollars, 7% rate of interest and for a time period of 8 years is = | 745.92 | simple_interest |
| 46 | Multiplication of two matrices | Multiply<table><tr><td>-1</td><td>-3</td></tr><tr><td>8</td><td>4</td></tr><tr><td>-9</td><td>0</td></tr><tr><td>-5</td><td>-7</td></tr></table>and<table><tr><td>4</td><td>-9</td><td>10</td><td>7</td></tr><tr><td>-8</td><td>5</td><td>-3</td><td>-5</td></tr></table> | <table><tr><td>20</td><td>-6</td><td>-1</td><td>8</td></tr><tr><td>0</td><td>-52</td><td>68</td><td>36</td></tr><tr><td>-36</td><td>81</td><td>-90</td><td>-63</td></tr><tr><td>36</td><td>10</td><td>-29</td><td>0</td></tr></table> | matrix_multiplication | | 46 | Multiplication of two matrices | Multiply<table><tr><td>2</td><td>-10</td><td>-8</td></tr><tr><td>-10</td><td>6</td><td>0</td></tr><tr><td>0</td><td>0</td><td>-2</td></tr><tr><td>6</td><td>-1</td><td>-2</td></tr></table>and<table><tr><td>-1</td><td>7</td><td>-3</td></tr><tr><td>-10</td><td>-8</td><td>10</td></tr><tr><td>7</td><td>7</td><td>3</td></tr></table> | <table><tr><td>42</td><td>38</td><td>-130</td></tr><tr><td>-50</td><td>-118</td><td>90</td></tr><tr><td>-14</td><td>-14</td><td>-6</td></tr><tr><td>-10</td><td>36</td><td>-34</td></tr></table> | matrix_multiplication |
| 47 | Cube Root | cuberoot of 388 upto 2 decimal places is: | 7.29 | cube_root | | 47 | Cube Root | cuberoot of 845 upto 2 decimal places is: | 9.45 | cube_root |
| 48 | Power Rule Integration | 7x^5 + 2x^8 | (7/5)x^6 + (2/8)x^9 + c | power_rule_integration | | 48 | Power Rule Integration | 10x^7 + 7x^2 + 1x^10 + 9x^10 + 6x^1 | (10/7)x^8 + (7/2)x^3 + (1/10)x^11 + (9/10)x^11 + (6/1)x^2 + c | power_rule_integration |
| 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 133 , 16, 122 = | 89 | fourth_angle_of_quadrilateral | | 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 24 , 205, 108 = | 23 | fourth_angle_of_quadrilateral |
| 50 | Quadratic Equation | Zeros of the Quadratic Equation 14x^2+149x+5=0 | [-0.03, -10.61] | quadratic_equation | | 50 | Quadratic Equation | Zeros of the Quadratic Equation 4x^2+38x+53=0 | [-1.7, -7.8] | quadratic_equation |
| 51 | HCF (Highest Common Factor) | HCF of 15 and 3 = | 3 | hcf | | 51 | HCF (Highest Common Factor) | HCF of 3 and 5 = | 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 7 = | 15/216 | dice_sum_probability | | 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 6 = | 1/6 | dice_sum_probability |
| 53 | Exponentiation | 13^3 = | 2197 | exponentiation | | 53 | Exponentiation | 13^7 = | 62748517 | exponentiation |
| 54 | Confidence interval For sample S | The confidence interval for sample [205, 274, 277, 258, 211, 242, 213, 228, 253, 294, 276, 210, 247, 229, 206, 204, 290, 231, 208, 264, 243, 267, 215, 282, 216, 233, 251, 203, 292, 278, 226] with 99% confidence is | (256.4847632648058, 229.06362383196844) | confidence_interval | | 54 | Confidence interval For sample S | The confidence interval for sample [246, 234, 252, 233, 250, 229, 272, 299, 214, 287, 263, 237, 209, 279, 230, 244, 265, 284, 266, 260] with 90% confidence is | (261.450577042693, 243.849422957307) | confidence_interval |
| 55 | Comparing surds | Fill in the blanks 9^(1/9) _ 85^(1/2) | < | surds_comparison | | 55 | Comparing surds | Fill in the blanks 61^(1/3) _ 54^(1/6) | > | surds_comparison |
| 56 | Fibonacci Series | The Fibonacci Series of the first 20 numbers is ? | [0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181] | fibonacci_series | | 56 | Fibonacci Series | The Fibonacci Series of the first 12 numbers is ? | [0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89] | fibonacci_series |
| 57 | Trigonometric Values | What is sin(45)? | 1/√2 | basic_trigonometry | | 57 | Trigonometric Values | What is tan(60)? | √3 | basic_trigonometry |
| 58 | Sum of Angles of Polygon | Sum of angles of polygon with 9 sides = | 1260 | sum_of_polygon_angles | | 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[27, 42, 37, 26, 30, 22, 32, 7, 36, 15, 6, 10, 17, 16, 12] | The Mean is 22.333333333333332 , Standard Deviation is 123.95555555555556, Variance is 11.133532932342526 | data_summary | | 59 | Mean,Standard Deviation,Variance | Find the mean,standard deviation and variance for the data[48, 15, 20, 21, 30, 17, 8, 13, 27, 7, 41, 34, 50, 18, 19] | The Mean is 24.533333333333335 , Standard Deviation is 170.91555555555558, Variance is 13.073467617872298 | data_summary |
| 60 | Surface Area of Sphere | Surface area of Sphere with radius = 13m is | 2123.7166338267 m^2 | surface_area_sphere | | 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 4 m = | 268.082573106329 m^3 | volume_sphere | | 61 | Volume of Sphere | Volume of sphere with radius 32 m = | 137258.27743044044 m^3 | volume_sphere |
| 62 | nth Fibonacci number | What is the 15th Fibonacci number? | 610 | nth_fibonacci_number | | 62 | nth Fibonacci number | What is the 67th Fibonacci number? | 44945570212853 | nth_fibonacci_number |
| 63 | Profit or Loss Percent | Profit percent when CP = 291 and SP = 468 is: | 60.824742268041234 | profit_loss_percent | | 63 | Profit or Loss Percent | Profit percent when CP = 15 and SP = 981 is: | 6440.000000000001 | profit_loss_percent |
| 64 | Binary to Hexidecimal | 0010 | 0x2 | binary_to_hex | | 64 | Binary to Hexidecimal | 1011 | 0xb | binary_to_hex |
| 65 | Multiplication of 2 complex numbers | (19+1j) * (10+19j) = | (171+371j) | multiply_complex_numbers | | 65 | Multiplication of 2 complex numbers | (-13-6j) * (-13-17j) = | (67+299j) | multiply_complex_numbers |
| 66 | Geometric Progression | For the given GP [4, 12, 36, 108, 324, 972] ,Find the value of a,common ratio,7th term value, sum upto 6th term | The value of a is 4, common ratio is 3 , 7th term is 2916 , sum upto 6th term is 1456.0 | geometric_progression | | 66 | Geometric Progression | For the given GP [7, 49, 343, 2401, 16807, 117649] ,Find the value of a,common ratio,6th term value, sum upto 9th term | The value of a is 7, common ratio is 7 , 6th term is 117649 , sum upto 9th term is 47079207.0 | geometric_progression |
| 67 | Geometric Mean of N Numbers | Geometric mean of 4 numbers 38 , 66 , 80 , 24 = | (38*66*80*24)^(1/4) = 46.84434709254888 | geometric_mean | | 67 | Geometric Mean of N Numbers | Geometric mean of 3 numbers 67 , 39 and 61 = | (67*39*61)^(1/3) = 54.2196131865444 | geometric_mean |
| 68 | Harmonic Mean of N Numbers | Harmonic mean of 4 numbers 19 , 3 , 94 , 47 = | 4/((1/19) + (1/3) + (1/94) + (1/47)) = 9.572130415364002 | harmonic_mean | | 68 | Harmonic Mean of N Numbers | Harmonic mean of 2 numbers 51 and 18 = | 2/((1/51) + (1/18)) = 26.608695652173914 | harmonic_mean |
| 69 | Euclidian norm or L2 norm of a vector | Euclidian norm or L2 norm of the vector[88.65597674656611, 513.1160127304324] is: | 520.7186617870201 | euclidian_norm | | 69 | Euclidian norm or L2 norm of a vector | Euclidian norm or L2 norm of the vector[475.73215854843386, 666.5961230551579, 318.8322922614731, 347.0393782548222, 132.48630879767597, 29.71776575489249, 241.27251126475247, 183.2591565913506, 829.9340763816024, 450.0454983692942, 227.01770730801584, 543.7951344512942, 704.1995480202837, 416.40405265214866] is: | 1706.1257272861317 | euclidian_norm |
| 70 | Angle between 2 vectors | angle between the vectors [247.81, 715.31, 324.88, 189.51, 331.72, 625.64, 723.42] and [393.64, 599.63, 109.53, 333.49, 979.47, 489.72, 878.62] is: | 0.48 radians | angle_btw_vectors | | 70 | Angle between 2 vectors | angle between the vectors [520.47, 629.68, 925.7, 911.2, 727.7, 843.94, 808.55, 80.4, 157.49, 661.37, 877.4, 196.54, 283.16, 69.83] and [840.19, 459.69, 241.22, 334.45, 5.59, 696.72, 776.19, 223.28, 414.7, 875.6, 837.18, 68.45, 863.78, 961.51] is: | 0.72 radians | angle_btw_vectors |
| 71 | Absolute difference between two numbers | Absolute difference between numbers 30 and 30 = | 0 | absolute_difference | | 71 | Absolute difference between two numbers | Absolute difference between numbers 6 and -66 = | 72 | absolute_difference |
| 72 | Dot Product of 2 Vectors | [10, -6, 8] . [12, 4, 18] = | 240 | vector_dot | | 72 | Dot Product of 2 Vectors | [-7, -13, -11] . [0, -3, -17] = | 226 | vector_dot |
| 73 | Binary 2's Complement | 2's complement of 1101100 = | 10100 | binary_2s_complement | | 73 | Binary 2's Complement | 2's complement of 10110 = | 1010 | binary_2s_complement |
| 74 | Inverse of a Matrix | Inverse of Matrix Matrix([[56, 89, 27], [19, 5, 14], [3, 80, 35]]) is: | Matrix([[135/9676, 955/67732, -1111/67732], [89/9676, -1879/67732, 271/67732], [-215/9676, 4213/67732, 1411/67732]]) | invert_matrix | | 74 | Inverse of a Matrix | Inverse of Matrix Matrix([[1, 94, 7], [25, 90, 5], [73, 43, 60]]) is: | Matrix([[-1037/27994, 5339/139970, 16/13997], [227/27994, 451/139970, -17/13997], [1099/27994, -6819/139970, 226/13997]]) | invert_matrix |
| 75 | Area of a Sector | Given radius, 22 and angle, 249. Find the area of the sector. | Area of sector = 1051.70050 | sector_area | | 75 | Area of a Sector | Given radius, 21 and angle, 2. Find the area of the sector. | Area of sector = 7.69690 | sector_area |
| 76 | Mean and Median | Given the series of numbers [3, 97, 58, 14, 19, 54, 29, 24, 25, 91]. find the arithmatic mean and mdian of the series | Arithmetic mean of the series is 41.4 and Arithmetic median of this series is 27.0 | mean_median | | 76 | Mean and Median | Given the series of numbers [96, 45, 60, 15, 20, 4, 29, 36, 69, 47]. find the arithmatic mean and mdian of the series | Arithmetic mean of the series is 42.1 and Arithmetic median of this series is 40.5 | mean_median |
| 77 | Determinant to 2x2 Matrix | Det([[19, 45], [76, 73]]) = | -2033 | int_matrix_22_determinant | | 77 | Determinant to 2x2 Matrix | Det([[59, 81], [33, 79]]) = | 1988 | int_matrix_22_determinant |
| 78 | Compound Interest | Compound interest for a principle amount of 4831 dollars, 4% rate of interest and for a time period of 9 year is = | 6876.02 | compound_interest | | 78 | Compound Interest | Compound interest for a principle amount of 8179 dollars, 7% rate of interest and for a time period of 1 year is = | 8751.53 | compound_interest |
| 79 | Decimal to Hexadecimal | Binary of 180= | 0xb4 | decimal_to_hexadeci | | 79 | Decimal to Hexadecimal | Binary of 106= | 0x6a | decimal_to_hexadeci |
| 80 | Percentage of a number | What is 11% of 69? | Required percentage = 7.59% | percentage | | 80 | Percentage of a number | What is 5% of 98? | Required percentage = 4.90% | percentage |
| 81 | Celsius To Fahrenheit | Convert 95 degrees Celsius to degrees Fahrenheit = | 203.0 | celsius_to_fahrenheit | | 81 | Celsius To Fahrenheit | Convert 67 degrees Celsius to degrees Fahrenheit = | 152.60000000000002 | celsius_to_fahrenheit |
| 82 | AP Term Calculation | Find the term number 40 of the AP series: 79, 113, 147 ... | 1405 | arithmetic_progression_term | | 82 | AP Term Calculation | Find the term number 56 of the AP series: -55, -142, -229 ... | -4840 | arithmetic_progression_term |
| 83 | AP Sum Calculation | Find the sum of first 81 terms of the AP series: 68, -9, -86 ... | -243972.0 | arithmetic_progression_sum | | 83 | AP Sum Calculation | Find the sum of first 46 terms of the AP series: 96, 169, 242 ... | 79971.0 | arithmetic_progression_sum |
| 84 | Converts decimal to octal | The decimal number 2985 in Octal is: | 0o5651 | decimal_to_octal | | 84 | Converts decimal to octal | The decimal number 7 in Octal is: | 0o7 | decimal_to_octal |
| 85 | Converts decimal to Roman Numerals | The number 1752 in Roman Numerals is: | MDCCLII | decimal_to_roman_numerals | | 85 | Converts decimal to Roman Numerals | The number 2558 in Roman Numerals is: | MMDLVIII | decimal_to_roman_numerals |
| 86 | Degrees to Radians | Angle 206 in radians is = | 3.6 | degree_to_rad | | 86 | Degrees to Radians | Angle 313 in radians is = | 5.46 | degree_to_rad |
| 87 | Radians to Degrees | Angle 0 in degrees is = | 0.0 | radian_to_deg | | 87 | Radians to Degrees | Angle 0 in degrees is = | 0.0 | radian_to_deg |
| 88 | Differentiation | differentiate w.r.t x : d(cot(x)+4*x^(-3))/dx | -cot(x)^2 - 1 - 12/x^4 | differentiation | | 88 | Differentiation | differentiate w.r.t x : d(sin(x)+2*x^(-3))/dx | cos(x) - 6/x^4 | differentiation |
| 89 | Definite Integral of Quadratic Equation | The definite integral within limits 0 to 1 of the equation 43x^2 + 13x + 29 is = | 49.8333 | definite_integral | | 89 | Definite Integral of Quadratic Equation | The definite integral within limits 0 to 1 of the equation 22x^2 + 32x + 88 is = | 111.3333 | definite_integral |
| 90 | isprime | 86 | False | is_prime | | 90 | isprime | 28 | False | is_prime |
| 91 | Binary Coded Decimal to Integer | Integer of Binary Coded Decimal 5 is = | 21620 | bcd_to_decimal | | 91 | Binary Coded Decimal to Integer | Integer of Binary Coded Decimal 6 is = | 25632 | bcd_to_decimal |
| 92 | Complex To Polar Form | rexp(itheta) = | 22.47exp(i-2.58) | complex_to_polar | | 92 | Complex To Polar Form | rexp(itheta) = | 23.85exp(i-2.15) | complex_to_polar |
| 93 | Union,Intersection,Difference of Two Sets | Given the two sets a={9, 3, 1, 6} ,b={2, 4, 5, 9, 10}.Find the Union,intersection,a-b,b-a and symmetric difference | Union is {1, 2, 3, 4, 5, 6, 9, 10},Intersection is {9}, a-b is {1, 3, 6},b-a is {2, 10, 4, 5}, Symmetric difference is {1, 2, 3, 4, 5, 6, 10} | set_operation | | 93 | Union,Intersection,Difference of Two Sets | Given the two sets a={1, 2, 5, 6, 7, 9} ,b={9, 3, 6, 7}.Find the Union,intersection,a-b,b-a and symmetric difference | Union is {1, 2, 3, 5, 6, 7, 9},Intersection is {9, 6, 7}, a-b is {1, 2, 5},b-a is {3}, Symmetric difference is {1, 2, 3, 5} | set_operation |
| 94 | Base Conversion | Convert 111122000 from base 3 to base 16. | 26D0 | base_conversion | | 94 | Base Conversion | Convert 215 from base 16 to base 2. | 1000010101 | base_conversion |
| 95 | Curved surface area of a cylinder | What is the curved surface area of a cylinder of radius, 9 and height, 34? | CSA of cylinder = 1922.65 | curved_surface_area_cylinder | | 95 | Curved surface area of a cylinder | What is the curved surface area of a cylinder of radius, 3 and height, 33? | CSA of cylinder = 622.04 | curved_surface_area_cylinder |
| 96 | Perimeter of Polygons | The perimeter of a 3 sided polygon with lengths of [4, 30, 88]cm is: | 122 | perimeter_of_polygons | | 96 | Perimeter of Polygons | The perimeter of a 5 sided polygon with lengths of [21, 36, 107, 101, 15]cm is: | 280 | perimeter_of_polygons |
| 97 | Power of Powers | The 20^3^7 = 20^(3*7) = 20^21 | 2097152000000000000000000000 | power_of_powers | | 97 | Power of Powers | The 47^10^9 = 47^(10*9) = 47^90 | 3081819609348702575993710664086973378213775077494296491025662508716527867059742510518129558368670228609205866092648641076825215755720847840202232380449 | power_of_powers |
| 98 | Quotient of Powers with Same Base | The Quotient of 10^7 and 10^3 = 10^(7-3) = 10^4 | 10000 | quotient_of_power_same_base | | 98 | Quotient of Powers with Same Base | The Quotient of 21^2 and 21^9 = 21^(2-9) = 21^-7 | 5.552197891641574e-10 | quotient_of_power_same_base |
| 99 | Quotient of Powers with Same Power | The Quotient of 30^1 and 40^1 = (30/40)^1 = 0.75^1 | 0.75 | quotient_of_power_same_power | | 99 | Quotient of Powers with Same Power | The Quotient of 25^1 and 3^1 = (25/3)^1 = 8.333333333333334^1 | 8.333333333333334 | quotient_of_power_same_power |
| 100 | complex Quadratic Equation | Find the roots of given Quadratic Equation 2x^2 + 7x + 1 = 0 | simplified solution : ((-0.149, -3.351)), generalized solution : ((-7 + sqrt(41))/2*2, (-7 - sqrt(41))/2*2) | complex_quadratic | | 100 | complex Quadratic Equation | Find the roots of given Quadratic Equation 3x^2 + 5x + 2 = 0 | simplified solution : ((-0.667, -1.0)), generalized solution : ((-5 + 1)/2*3, (-5 - 1)/2*3) | complex_quadratic |
| 101 | Leap Year or Not | Year 1972 | is a leap year | is_leap_year | | 101 | Leap Year or Not | Year 2049 | is not a leap year | is_leap_year |
| 102 | Minute to Hour conversion | Convert 908 minutes to Hours & Minutes | 15 hours and 8 minutes | minutes_to_hours | | 102 | Minute to Hour conversion | Convert 960 minutes to Hours & Minutes | 16 hours and 0 minutes | minutes_to_hours |
| 103 | Decimal to Binary Coded Decimal | BCD of Decimal Number 3603 is = | 1413 | decimal_to_bcd | | 103 | Decimal to Binary Coded Decimal | BCD of Decimal Number 6561 is = | 19101 | decimal_to_bcd |
| 104 | Circumference | Circumference of circle with radius 11 | 69.14285714285714 | circumference |

1
mathgenerator/funcs/__init__.py
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@@ -108,3 +108,4 @@ from .complex_quadratic import *
from .is_leap_year import * from .is_leap_year import *
from .minutes_to_hours import * from .minutes_to_hours import *
from .decimal_to_bcd import * from .decimal_to_bcd import *
from .circumference import *

5
mathgenerator/funcs/circumference.py
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@@ -1,14 +1,13 @@
from .__init__ import * from .__init__ import *
def circumferenceCircle(maxRadius=100): def circumferenceCircle(maxRadius=100):
r = random.randint(0, maxRadius) r = random.randint(0, maxRadius)
pi = 22/7 pi = 22/7
circumference = 2*pi*r circumference = 2*pi*r
problem = f"Circumference of circle with radius {r}" problem = f"Circumference of circle with radius {r}"
solution = circumference solution = circumference
return problem, solution return problem, solution
circumferenceCircle = Generator("Circumference", 62, "2*pi*r=", "circumference", circumferenceCircle) circumference = Generator("Circumference", 104, "2*pi*r=", "circumference", circumferenceCircle)

2
mathgenerator/funcs/decimal_to_bcd.py
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@@ -19,5 +19,3 @@ def DecimalToBCDFunc(maxNumber=10000):
decimal_to_bcd = Generator("Decimal to Binary Coded Decimal", 103, decimal_to_bcd = Generator("Decimal to Binary Coded Decimal", 103,
"Binary Coded Decimal of Decimal n is ", "b", "Binary Coded Decimal of Decimal n is ", "b",
DecimalToBCDFunc) DecimalToBCDFunc)
# for readme ## | 101 | Decimal to Binary Coded Decimal | Binary Coded Decimal of Decimal 34 is = | 22 | decimal_to_bcd |

2
test.py
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@@ -11,4 +11,4 @@ for item in list:
# print(mathgen.getGenList()) # print(mathgen.getGenList())
print(mathgen.decimal_to_roman_numerals()) print(mathgen.decimal_to_roman_numerals())
print(mathgen.genById(103)) print(mathgen.genById(104))