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@@ -31,100 +31,104 @@ 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 | 13+0= | 13 | addition | | 0 | Addition | 20+38= | 58 | addition |
| 1 | Subtraction | 95-6= | 89 | subtraction | | 1 | Subtraction | 2-0= | 2 | subtraction |
| 2 | Multiplication | 66*0= | 0 | multiplication | | 2 | Multiplication | 31*1= | 31 | multiplication |
| 3 | Division | 15/42= | 0.35714285714285715 | division | | 3 | Division | 53/7= | 7.571428571428571 | division |
| 4 | Binary Complement 1s | 01= | 10 | binary_complement_1s | | 4 | Binary Complement 1s | 111= | 000 | binary_complement_1s |
| 5 | Modulo Division | 59%11= | 4 | modulo_division | | 5 | Modulo Division | 90%6= | 0 | modulo_division |
| 6 | Square Root | sqrt(81)= | 9 | square_root | | 6 | Square Root | sqrt(16)= | 4 | square_root |
| 7 | Power Rule Differentiation | 8x^2 + 3x^3 + 1x^9 | 16x^1 + 9x^2 + 9x^8 | power_rule_differentiation | | 7 | Power Rule Differentiation | 7x^5 + 8x^10 + 4x^1 + 4x^5 + 7x^3 | 35x^4 + 80x^9 + 4x^0 + 20x^4 + 21x^2 | power_rule_differentiation |
| 8 | Square | 3^2= | 9 | square | | 8 | Square | 9^2= | 81 | square |
| 9 | LCM (Least Common Multiple) | LCM of 8 and 4 = | 8 | lcm | | 9 | LCM (Least Common Multiple) | LCM of 20 and 5 = | 20 | lcm |
| 10 | GCD (Greatest Common Denominator) | GCD of 12 and 12 = | 12 | gcd | | 10 | GCD (Greatest Common Denominator) | GCD of 11 and 2 = | 1 | gcd |
| 11 | Basic Algebra | 8x + 10 = 10 | 0 | basic_algebra | | 11 | Basic Algebra | 10x + 4 = 8 | 2/5 | basic_algebra |
| 12 | Logarithm | log2(128) | 7 | log | | 12 | Logarithm | log3(2187) | 7 | log |
| 13 | Easy Division | 230/10 = | 23 | int_division | | 13 | Easy Division | 247/19 = | 13 | int_division |
| 14 | Decimal to Binary | Binary of 93= | 1011101 | decimal_to_binary | | 14 | Decimal to Binary | Binary of 13= | 1101 | decimal_to_binary |
| 15 | Binary to Decimal | 10001 | 17 | binary_to_decimal | | 15 | Binary to Decimal | 001 | 1 | binary_to_decimal |
| 16 | Fraction Division | (4/3)/(4/8) | 8/3 | divide_fractions | | 16 | Fraction Division | (6/9)/(4/2) | 1/3 | divide_fractions |
| 17 | Integer Multiplication with 2x2 Matrix | 11 * [[6, 2], [0, 8]] = | [[66,22],[0,88]] | multiply_int_to_22_matrix | | 17 | Integer Multiplication with 2x2 Matrix | 11 * [[5, 2], [0, 8]] = | [[55,22],[0,88]] | multiply_int_to_22_matrix |
| 18 | Area of Triangle | Area of triangle with side lengths: 10 17 7 = | 0.0 | area_of_triangle | | 18 | Area of Triangle | Area of triangle with side lengths: 10 2 11 = | 9.051933495115836 | area_of_triangle |
| 19 | Triangle exists check | Does triangle with sides 13, 40 and 7 exist? | No | valid_triangle | | 19 | Triangle exists check | Does triangle with sides 35, 7 and 11 exist? | No | valid_triangle |
| 20 | Midpoint of the two point | (-16,-17),(7,11)= | (-4.5,-3.0) | midpoint_of_two_points | | 20 | Midpoint of the two point | (12,-4),(-4,9)= | (4.0,2.5) | midpoint_of_two_points |
| 21 | Factoring Quadratic | x^2-3x-18 | (x-6)(x+3) | factoring | | 21 | Factoring Quadratic | x^2-3x-28 | (x-7)(x+4) | factoring |
| 22 | Third Angle of Triangle | Third angle of triangle with angles 49 and 13 = | 118 | third_angle_of_triangle | | 22 | Third Angle of Triangle | Third angle of triangle with angles 50 and 19 = | 111 | third_angle_of_triangle |
| 23 | Solve a System of Equations in R^2 | 3x + y = 18, 4x + 10y = 102 | x = 3, y = 9 | system_of_equations | | 23 | Solve a System of Equations in R^2 | -6x - 4y = -2, x + 10y = 47 | x = -3, y = 5 | system_of_equations |
| 24 | Distance between 2 points | Find the distance between (-15, -13) and (-5, -10) | sqrt(109) | distance_two_points | | 24 | Distance between 2 points | Find the distance between (16, 20) and (-9, 14) | sqrt(661) | distance_two_points |
| 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 14 and 13 = | 19.10 | pythagorean_theorem | | 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 7 and 3 = | 7.62 | pythagorean_theorem |
| 26 | Linear Equations | -9x + -17y = 417, -1x + -4y = 78 | x = -18, y = -15 | linear_equations | | 26 | Linear Equations | 14x + -10y = -26, 15x + -11y = -29 | x = 1, y = 4 | linear_equations |
| 27 | Prime Factorisation | Find prime factors of 196 | [2, 2, 7, 7] | prime_factors | | 27 | Prime Factorisation | Find prime factors of 29 | [29] | prime_factors |
| 28 | Fraction Multiplication | (8/1)*(9/6) | 12 | fraction_multiplication | | 28 | Fraction Multiplication | (3/7)*(10/3) | 10/7 | fraction_multiplication |
| 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 8 sides | 135.0 | angle_regular_polygon | | 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 18 sides | 160.0 | angle_regular_polygon |
| 30 | Combinations of Objects | Number of combinations from 12 objects picked 2 at a time | 66 | combinations | | 30 | Combinations of Objects | Number of combinations from 12 objects picked 5 at a time | 792 | combinations |
| 31 | Factorial | 4! = | 24 | factorial | | 31 | Factorial | 2! = | 2 | factorial |
| 32 | Surface Area of Cube | Surface area of cube with side = 14m is | 1176 m^2 | surface_area_cube | | 32 | Surface Area of Cube | Surface area of cube with side = 9m is | 486 m^2 | surface_area_cube |
| 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 16m, 4m, 12m is | 608 m^2 | surface_area_cuboid | | 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 19m, 9m, 6m is | 678 m^2 | surface_area_cuboid |
| 34 | Surface Area of Cylinder | Surface area of cylinder with height = 8m and radius = 13m is | 1715 m^2 | surface_area_cylinder | | 34 | Surface Area of Cylinder | Surface area of cylinder with height = 39m and radius = 6m is | 1696 m^2 | surface_area_cylinder |
| 35 | Volum of Cube | Volume of cube with side = 14m is | 2744 m^3 | volume_cube | | 35 | Volum of Cube | Volume of cube with side = 14m is | 2744 m^3 | volume_cube |
| 36 | Volume of Cuboid | Volume of cuboid with sides = 5m, 19m, 11m is | 1045 m^3 | volume_cuboid | | 36 | Volume of Cuboid | Volume of cuboid with sides = 4m, 19m, 20m is | 1520 m^3 | volume_cuboid |
| 37 | Volume of cylinder | Volume of cylinder with height = 26m and radius = 12m is | 11762 m^3 | volume_cylinder | | 37 | Volume of cylinder | Volume of cylinder with height = 27m and radius = 4m is | 1357 m^3 | volume_cylinder |
| 38 | Surface Area of cone | Surface area of cone with height = 13m and radius = 8m is | 584 m^2 | surface_area_cone | | 38 | Surface Area of cone | Surface area of cone with height = 47m and radius = 15m is | 3031 m^2 | surface_area_cone |
| 39 | Volume of cone | Volume of cone with height = 45m and radius = 12m is | 6785 m^3 | volume_cone | | 39 | Volume of cone | Volume of cone with height = 46m and radius = 1m is | 48 m^3 | volume_cone |
| 40 | Common Factors | Common Factors of 53 and 11 = | [1] | common_factors | | 40 | Common Factors | Common Factors of 5 and 89 = | [1] | common_factors |
| 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = -9/6x + 2 and y = 5/4x - 6 | (32/11, -26/11) | intersection_of_two_lines | | 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = -10x - 3 and y = -10/5x - 4 | (1/8, -17/4) | intersection_of_two_lines |
| 42 | Permutations | Number of Permutations from 12 objects picked 5 at a time = | 95040 | permutation | | 42 | Permutations | Number of Permutations from 17 objects picked 6 at a time = | 8910720 | permutation |
| 43 | Cross Product of 2 Vectors | [-19, 13, 14] X [7, 17, -11] = | [-381, -111, -414] | vector_cross | | 43 | Cross Product of 2 Vectors | [14, -7, -18] X [3, -16, 12] = | [-372, -222, -203] | vector_cross |
| 44 | Compare Fractions | Which symbol represents the comparison between 7/8 and 3/4? | > | compare_fractions | | 44 | Compare Fractions | Which symbol represents the comparison between 6/7 and 2/1? | < | compare_fractions |
| 45 | Simple Interest | Simple interest for a principle amount of 4874 dollars, 10% rate of interest and for a time period of 1 years is = | 487.4 | simple_interest | | 45 | Simple Interest | Simple interest for a principle amount of 1752 dollars, 10% rate of interest and for a time period of 5 years is = | 876.0 | simple_interest |
| 46 | Multiplication of two matrices | Multiply<table><tr><td>7</td><td>4</td><td>-5</td><td>4</td></tr><tr><td>0</td><td>-8</td><td>-1</td><td>-5</td></tr></table>and<table><tr><td>-10</td><td>-6</td></tr><tr><td>-3</td><td>-6</td></tr><tr><td>1</td><td>8</td></tr><tr><td>0</td><td>-1</td></tr></table> | <table><tr><td>-87</td><td>-110</td></tr><tr><td>23</td><td>45</td></tr></table> | matrix_multiplication | | 46 | Multiplication of two matrices | Multiply<table><tr><td>-2</td><td>7</td><td>-10</td></tr><tr><td>0</td><td>-4</td><td>-9</td></tr><tr><td>2</td><td>10</td><td>10</td></tr></table>and<table><tr><td>6</td><td>-6</td></tr><tr><td>-5</td><td>3</td></tr><tr><td>6</td><td>10</td></tr></table> | <table><tr><td>-107</td><td>-67</td></tr><tr><td>-34</td><td>-102</td></tr><tr><td>22</td><td>118</td></tr></table> | matrix_multiplication |
| 47 | Cube Root | cuberoot of 190 upto 2 decimal places is: | 5.75 | cube_root | | 47 | Cube Root | cuberoot of 212 upto 2 decimal places is: | 5.96 | cube_root |
| 48 | Power Rule Integration | 3x^2 + 7x^7 + 1x^6 + 9x^1 | (3/2)x^3 + (7/7)x^8 + (1/6)x^7 + (9/1)x^2 + c | power_rule_integration | | 48 | Power Rule Integration | 4x^4 | (4/4)x^5 + c | power_rule_integration |
| 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 126 , 81, 61 = | 92 | fourth_angle_of_quadrilateral | | 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 81 , 131, 8 = | 140 | fourth_angle_of_quadrilateral |
| 50 | Quadratic Equation | Zeros of the Quadratic Equation 6x^2+139x+34=0 | [-0.25, -22.92] | quadratic_equation | | 50 | Quadratic Equation | Zeros of the Quadratic Equation 66x^2+177x+45=0 | [-0.28, -2.4] | quadratic_equation |
| 51 | HCF (Highest Common Factor) | HCF of 19 and 12 = | 1 | hcf | | 51 | HCF (Highest Common Factor) | HCF of 8 and 10 = | 2 | hcf |
| 52 | Probability of a certain sum appearing on faces of dice | If 2 dice are rolled at the same time, the probability of getting a sum of 5 = | 4/36 | dice_sum_probability | | 52 | Probability of a certain sum appearing on faces of dice | If 2 dice are rolled at the same time, the probability of getting a sum of 7 = | 6/36 | dice_sum_probability |
| 53 | Exponentiation | 15^7 = | 170859375 | exponentiation | | 53 | Exponentiation | 16^3 = | 4096 | exponentiation |
| 54 | Confidence interval For sample S | The confidence interval for sample [204, 279, 272, 203, 275, 286, 253, 237, 271, 222, 297, 265, 242, 239, 259, 241, 261, 254, 217, 219, 298, 273, 238, 209, 268] with 80% confidence is | (258.3266706388717, 244.23332936112834) | confidence_interval | | 54 | Confidence interval For sample S | The confidence interval for sample [240, 211, 206, 296, 223, 220, 264, 251, 245, 248, 207, 215, 277, 274, 297, 243, 278, 292, 256, 233, 266, 236, 270, 227, 209, 258, 298] with 99% confidence is | (263.9293815733304, 235.32987768592884) | confidence_interval |
| 55 | Comparing surds | Fill in the blanks 95^(1/7) _ 67^(1/6) | < | surds_comparison | | 55 | Comparing surds | Fill in the blanks 63^(1/2) _ 37^(1/4) | > | surds_comparison |
| 56 | Fibonacci Series | The Fibonacci Series of the first 18 numbers is ? | [0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597] | 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 cos(45)? | 1/√2 | basic_trigonometry | | 57 | Trigonometric Values | What is sin(0)? | 0 | basic_trigonometry |
| 58 | Sum of Angles of Polygon | Sum of angles of polygon with 7 sides = | 900 | sum_of_polygon_angles | | 58 | Sum of Angles of Polygon | Sum of angles of polygon with 7 sides = | 900 | sum_of_polygon_angles |
| 59 | Mean,Standard Deviation,Variance | Find the mean,standard deviation and variance for the data[41, 44, 15, 26, 15, 50, 27, 22, 11, 32, 14, 8, 23, 50, 9] | The Mean is 25.8 , Standard Deviation is 199.0933333333333, Variance is 14.110043704160994 | data_summary | | 59 | Mean,Standard Deviation,Variance | Find the mean,standard deviation and variance for the data[30, 21, 26, 36, 34, 7, 46, 21, 15, 29, 9, 33, 16, 28, 43] | The Mean is 26.266666666666666 , Standard Deviation is 123.39555555555556, Variance is 11.108355213781902 | data_summary |
| 60 | Surface Area of Sphere | Surface area of Sphere with radius = 18m is | 4071.5040790523717 m^2 | surface_area_sphere | | 60 | Surface Area of Sphere | Surface area of Sphere with radius = 6m is | 452.3893421169302 m^2 | surface_area_sphere |
| 61 | Volume of Sphere | Volume of sphere with radius 88 m = | 2854543.2384361913 m^3 | volume_sphere | | 61 | Volume of Sphere | Volume of sphere with radius 10 m = | 4188.790204786391 m^3 | volume_sphere |
| 62 | nth Fibonacci number | What is the 5th Fibonacci number? | 5 | nth_fibonacci_number | | 62 | nth Fibonacci number | What is the 41th Fibonacci number? | 165580141 | nth_fibonacci_number |
| 63 | Profit or Loss Percent | Profit percent when CP = 190 and SP = 653 is: | 243.68421052631578 | profit_loss_percent | | 63 | Profit or Loss Percent | Profit percent when CP = 411 and SP = 499 is: | 21.41119221411192 | profit_loss_percent |
| 64 | Binary to Hexidecimal | 000 | 0x0 | binary_to_hex | | 64 | Binary to Hexidecimal | 00010 | 0x2 | binary_to_hex |
| 65 | Multiplication of 2 complex numbers | (1+11j) * (14-20j) = | (234+134j) | multiply_complex_numbers | | 65 | Multiplication of 2 complex numbers | (-2-6j) * (-10+2j) = | (32+56j) | multiply_complex_numbers |
| 66 | Geometric Progression | For the given GP [2, 14, 98, 686, 4802, 33614] ,Find the value of a,common ratio,11th term value, sum upto 10th term | The value of a is 2, common ratio is 7 , 11th term is 564950498 , sum upto 10th term is 94158416.0 | geometric_progression | | 66 | Geometric Progression | For the given GP [7, 77, 847, 9317, 102487, 1127357] ,Find the value of a,common ratio,8th term value, sum upto 7th term | The value of a is 7, common ratio is 11 , 8th term is 136410197 , sum upto 7th term is 13641019.0 | geometric_progression |
| 67 | Geometric Mean of N Numbers | Geometric mean of 4 numbers 5 , 36 , 46 , 11 = | (5*36*46*11)^(1/4) = 17.372237396461717 | geometric_mean | | 67 | Geometric Mean of N Numbers | Geometric mean of 4 numbers 76 , 98 , 2 , 58 = | (76*98*2*58)^(1/4) = 30.487682589384825 | geometric_mean |
| 68 | Harmonic Mean of N Numbers | Harmonic mean of 4 numbers 2 , 69 , 40 , 85 = | 4/((1/2) + (1/69) + (1/40) + (1/85)) = 7.256137637734391 | harmonic_mean | | 68 | Harmonic Mean of N Numbers | Harmonic mean of 3 numbers 77 , 98 and 69 = | 3/((1/77) + (1/98) + (1/69)) = 79.60970388869067 | harmonic_mean |
| 69 | Euclidian norm or L2 norm of a vector | Euclidian norm or L2 norm of the vector[964.0224705098824, 282.67364534639074, 10.524202601537414, 361.644358207216, 691.8214421455904, 573.8396623606926, 972.293614400242, 140.0274501909099, 590.7302519633489, 797.8763197329738, 726.1188608418418, 597.5706485157848, 241.28898511522024, 694.0267219296932, 32.85273313007875, 187.58082258543695, 452.179970384704, 964.184342568536, 589.6017896365979, 936.6845704453358] is: | 2778.1660192850186 | euclidian_norm | | 69 | Euclidian norm or L2 norm of a vector | Euclidian norm or L2 norm of the vector[229.4364953887822, 570.6032154600009, 199.52328312454694, 658.3975413255898, 605.9566521345233, 616.6627240713517, 572.9546490919761, 508.8683987353998, 666.172347641998, 865.2735159823208, 594.8620516188639, 418.8436115273115, 69.46437421671337, 385.84806581739593] is: | 2015.3622923166513 | euclidian_norm |
| 70 | Angle between 2 vectors | angle between the vectors [682.87, 786.47, 315.92, 912.87, 542.62, 602.89, 747.77, 437.42, 3.35, 225.43, 63.6, 535.22, 871.05, 33.58] and [625.58, 654.32, 738.64, 670.61, 575.02, 237.12, 220.81, 78.57, 298.55, 427.21, 396.95, 159.78, 574.71, 847.07] is: | 0.69 radians | angle_btw_vectors | | 70 | Angle between 2 vectors | angle between the vectors [954.08, 488.66, 694.46, 127.67, 912.65, 462.11, 713.4, 179.41, 728.87, 811.04, 760.22, 688.68, 444.93, 237.29, 485.89, 565.71, 520.56, 44.1, 684.62, 665.12] and [736.88, 60.8, 240.61, 677.58, 887.06, 73.3, 470.5, 884.06, 453.97, 168.97, 921.73, 538.36, 967.82, 236.94, 51.62, 402.46, 57.88, 166.91, 676.47, 708.47] is: | 0.63 radians | angle_btw_vectors |
| 71 | Absolute difference between two numbers | Absolute difference between numbers -14 and 27 = | 41 | absolute_difference | | 71 | Absolute difference between two numbers | Absolute difference between numbers -87 and 69 = | 156 | absolute_difference |
| 72 | Dot Product of 2 Vectors | [13, -5, -16] . [-6, 11, -2] = | -101 | vector_dot | | 72 | Dot Product of 2 Vectors | [14, -1, 7] . [-12, 15, -9] = | -246 | vector_dot |
| 73 | Binary 2's Complement | 2's complement of 10 = | 10 | binary_2s_complement | | 73 | Binary 2's Complement | 2's complement of 11010 = | 110 | binary_2s_complement |
| 74 | Inverse of a Matrix | Inverse of Matrix Matrix([[73, 79, 98], [11, 18, 14], [41, 47, 26]]) is: | Matrix([[95/6388, -319/1597, 329/6388], [-36/1597, 265/1597, -7/1597], [221/12776, 24/1597, -445/12776]]) | invert_matrix | | 74 | Inverse of a Matrix | Inverse of Matrix Matrix([[17, 31, 76], [3, 65, 91], [42, 2, 28]]) is: | Matrix([[-273/10550, 179/15825, 2119/63300], [-623/10550, 679/15825, 1319/63300], [227/5275, -317/15825, -253/15825]]) | invert_matrix |
| 75 | Area of a Sector | Given radius, 7 and angle, 271. Find the area of the sector. | Area of sector = 115.88114 | sector_area | | 75 | Area of a Sector | Given radius, 4 and angle, 2. Find the area of the sector. | Area of sector = 0.27925 | sector_area |
| 76 | Mean and Median | Given the series of numbers [17, 84, 55, 4, 28, 41, 50, 54, 35, 14]. find the arithmatic mean and mdian of the series | Arithmetic mean of the series is 38.2 and Arithmetic median of this series is 38.0 | mean_median | | 76 | Mean and Median | Given the series of numbers [87, 97, 75, 27, 91, 31, 15, 40, 73, 74]. find the arithmatic mean and mdian of the series | Arithmetic mean of the series is 61.0 and Arithmetic median of this series is 73.5 | mean_median |
| 77 | Determinant to 2x2 Matrix | Det([[0, 38], [92, 69]]) = | -3496 | int_matrix_22_determinant | | 77 | Determinant to 2x2 Matrix | Det([[83, 41], [15, 13]]) = | 464 | int_matrix_22_determinant |
| 78 | Compound Interest | Compound interest for a principle amount of 6315 dollars, 4% rate of interest and for a time period of 8 year is = | 8642.51 | compound_interest | | 78 | Compound Interest | Compound interest for a principle amount of 2702 dollars, 7% rate of interest and for a time period of 2 year is = | 3093.52 | compound_interest |
| 79 | Decimal to Hexadecimal | Binary of 222= | 0xde | decimal_to_hexadeci | | 79 | Decimal to Hexadecimal | Binary of 386= | 0x182 | decimal_to_hexadeci |
| 80 | Percentage of a number | What is 16% of 10? | Required percentage = 1.60% | percentage | | 80 | Percentage of a number | What is 64% of 8? | Required percentage = 5.12% | percentage |
| 81 | Celsius To Fahrenheit | Convert -30 degrees Celsius to degrees Fahrenheit = | -22.0 | celsius_to_fahrenheit | | 81 | Celsius To Fahrenheit | Convert 50 degrees Celsius to degrees Fahrenheit = | 122.0 | celsius_to_fahrenheit |
| 82 | AP Term Calculation | Find the term number 23 of the AP series: -14, 86, 186 ... | 2186 | arithmetic_progression_term | | 82 | AP Term Calculation | Find the term number 89 of the AP series: -35, -98, -161 ... | -5579 | arithmetic_progression_term |
| 83 | AP Sum Calculation | Find the sum of first 70 terms of the AP series: 55, -34, -123 ... | -211085.0 | arithmetic_progression_sum | | 83 | AP Sum Calculation | Find the sum of first 63 terms of the AP series: 7, 100, 193 ... | 182070.0 | arithmetic_progression_sum |
| 84 | Converts decimal to octal | The decimal number 2801 in Octal is: | 0o5361 | decimal_to_octal | | 84 | Converts decimal to octal | The decimal number 265 in Octal is: | 0o411 | decimal_to_octal |
| 85 | Converts decimal to Roman Numerals | The number 1366 in Roman Numerals is: | MCCCLXVI | decimal_to_roman_numerals | | 85 | Converts decimal to Roman Numerals | The number 1439 in Roman Numerals is: | MCDXXXIX | decimal_to_roman_numerals |
| 86 | Degrees to Radians | Angle 213 in radians is = | 3.72 | degree_to_rad | | 86 | Degrees to Radians | Angle 68 in radians is = | 1.19 | degree_to_rad |
| 87 | Radians to Degrees | Angle 0 in degrees is = | 0.0 | radian_to_deg | | 87 | Radians to Degrees | Angle 3 in degrees is = | 171.89 | radian_to_deg |
| 88 | Differentiation | differentiate w.r.t x : d(ln(x)+5*x^3)/dx | 15*x^2 + 1/x | differentiation | | 88 | Differentiation | differentiate w.r.t x : d(ln(x)+2*x^3)/dx | 6*x^2 + 1/x | differentiation |
| 89 | Definite Integral of Quadratic Equation | The definite integral within limits 0 to 1 of the equation 18x^2 + 37x + 1 is = | 25.5 | definite_integral | | 89 | Definite Integral of Quadratic Equation | The definite integral within limits 0 to 1 of the equation 74x^2 + 55x + 86 is = | 138.1667 | definite_integral |
| 90 | isprime | 53 | True | is_prime | | 90 | isprime | 32 | False | is_prime |
| 91 | Binary Coded Decimal to Integer | Integer of Binary Coded Decimal 1 is = | 5202 | bcd_to_decimal | | 91 | Binary Coded Decimal to Integer | Integer of Binary Coded Decimal 1 is = | 5461 | bcd_to_decimal |
| 92 | Complex To Polar Form | rexp(itheta) = | 10.3exp(i0.51) | complex_to_polar | | 92 | Complex To Polar Form | rexp(itheta) = | 27.59exp(i-2.38) | complex_to_polar |
| 93 | Union,Intersection,Difference of Two Sets | Given the two sets a={1, 2, 6, 7, 9, 10} ,b={9, 3, 5, 6}.Find the Union,intersection,a-b,b-a and symmetric difference | Union is {1, 2, 3, 5, 6, 7, 9, 10},Intersection is {9, 6}, a-b is {1, 2, 10, 7},b-a is {3, 5}, Symmetric difference is {1, 2, 3, 5, 7, 10} | set_operation | | 93 | Union,Intersection,Difference of Two Sets | Given the two sets a={1, 2, 3, 5, 6, 8} ,b={1, 10, 2, 9}.Find the Union,intersection,a-b,b-a and symmetric difference | Union is {1, 2, 3, 5, 6, 8, 9, 10},Intersection is {1, 2}, a-b is {8, 3, 5, 6},b-a is {9, 10}, Symmetric difference is {3, 5, 6, 8, 9, 10} | set_operation |
| 94 | Base Conversion | Convert 137673 from base 8 to base 10. | 49083 | base_conversion | | 94 | Base Conversion | Convert 131222 from base 6 to base 2. | 10111010111110 | base_conversion |
| 95 | Curved surface area of a cylinder | What is the curved surface area of a cylinder of radius, 20 and height, 96? | CSA of cylinder = 12063.72 | curved_surface_area_cylinder | | 95 | Curved surface area of a cylinder | What is the curved surface area of a cylinder of radius, 27 and height, 94? | CSA of cylinder = 15946.72 | curved_surface_area_cylinder |
| 96 | Perimeter of Polygons | The perimeter of a 10 sided polygon with lengths of [106, 31, 107, 44, 44, 81, 108, 92, 75, 103]cm is: | 791 | perimeter_of_polygons | | 96 | Perimeter of Polygons | The perimeter of a 9 sided polygon with lengths of [48, 30, 110, 95, 10, 33, 87, 70, 78]cm is: | 561 | perimeter_of_polygons |
| 97 | Power of Powers | The 24^1^3 = 24^(1*3) = 24^3 | 13824 | power_of_powers |
| 98 | Quotient of Powers with Same Base | The Quotient of 41^2 and 41^3 = 41^(2-3) = 41^-1 | 0.024390243902439025 | quotient_of_power_same_base |
| 99 | Quotient of Powers with Same Power | The Quotient of 30^5 and 35^5 = (30/35)^5 = 0.8571428571428571^5 | 0.46266436603796024 | quotient_of_power_same_power |
| 100 | complex Quadratic Equation | Find the roots of given Quadratic Equation 5x^2 + 8x + 2 = 0 | simplified solution : ((-0.31, -1.29)), generalized solution : ((-8 + sqrt(24))/2*5, (-8 - sqrt(24))/2*5) | complex_quadratic |