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lukew3
2020-10-23 13:38:16 -04:00
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@@ -31,104 +31,106 @@ 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 | 20+9= | 29 | addition | | 0 | Addition | 16+2= | 18 | addition |
| 1 | Subtraction | 52-50= | 2 | subtraction | | 1 | Subtraction | 9-6= | 3 | subtraction |
| 2 | Multiplication | 53*1= | 53 | multiplication | | 2 | Multiplication | 3*0= | 0 | multiplication |
| 3 | Division | 35/79= | 0.4430379746835443 | division | | 3 | Division | 80/88= | 0.9090909090909091 | division |
| 4 | Binary Complement 1s | 011011= | 100100 | binary_complement_1s | | 4 | Binary Complement 1s | 0000100= | 1111011 | binary_complement_1s |
| 5 | Modulo Division | 27%39= | 27 | modulo_division | | 5 | Modulo Division | 99%94= | 5 | modulo_division |
| 6 | Square Root | sqrt(16)= | 4 | square_root | | 6 | Square Root | sqrt(16)= | 4 | square_root |
| 7 | Power Rule Differentiation | 7x^5 | 35x^4 | power_rule_differentiation | | 7 | Power Rule Differentiation | 7x^8 + 4x^10 + 9x^9 + 4x^10 | 56x^7 + 40x^9 + 81x^8 + 40x^9 | power_rule_differentiation |
| 8 | Square | 10^2= | 100 | square | | 8 | Square | 17^2= | 289 | square |
| 9 | LCM (Least Common Multiple) | LCM of 14 and 14 = | 14 | lcm | | 9 | LCM (Least Common Multiple) | LCM of 1 and 8 = | 8 | lcm |
| 10 | GCD (Greatest Common Denominator) | GCD of 17 and 7 = | 1 | gcd | | 10 | GCD (Greatest Common Denominator) | GCD of 11 and 7 = | 1 | gcd |
| 11 | Basic Algebra | 6x + 5 = 5 | 0 | basic_algebra | | 11 | Basic Algebra | 8x + 4 = 4 | 0 | basic_algebra |
| 12 | Logarithm | log2(64) | 6 | log | | 12 | Logarithm | log3(729) | 6 | log |
| 13 | Easy Division | 252/12 = | 21 | int_division | | 13 | Easy Division | 575/25 = | 23 | int_division |
| 14 | Decimal to Binary | Binary of 19= | 10011 | decimal_to_binary | | 14 | Decimal to Binary | Binary of 55= | 110111 | decimal_to_binary |
| 15 | Binary to Decimal | 1000010100 | 532 | binary_to_decimal | | 15 | Binary to Decimal | 01101001 | 105 | binary_to_decimal |
| 16 | Fraction Division | (10/9)/(10/8) | 8/9 | divide_fractions | | 16 | Fraction Division | (1/2)/(7/10) | 5/7 | divide_fractions |
| 17 | Integer Multiplication with 2x2 Matrix | 15 * [[5, 3], [3, 2]] = | [[75,45],[45,30]] | multiply_int_to_22_matrix | | 17 | Integer Multiplication with 2x2 Matrix | 7 * [[4, 2], [5, 0]] = | [[28,14],[35,0]] | multiply_int_to_22_matrix |
| 18 | Area of Triangle | Area of triangle with side lengths: 3 17 2 = | (4.221036154550547e-15+68.93475175845634j) | area_of_triangle | | 18 | Area of Triangle | Area of triangle with side lengths: 15 12 8 = | 47.811478747263195 | area_of_triangle |
| 19 | Triangle exists check | Does triangle with sides 24, 20 and 17 exist? | Yes | valid_triangle | | 19 | Triangle exists check | Does triangle with sides 23, 29 and 35 exist? | Yes | valid_triangle |
| 20 | Midpoint of the two point | (4,-10),(2,4)= | (3.0,-3.0) | midpoint_of_two_points | | 20 | Midpoint of the two point | (8,-2),(-11,-1)= | (-1.5,-1.5) | midpoint_of_two_points |
| 21 | Factoring Quadratic | x^2-3x-54 | (x+6)(x-9) | factoring | | 21 | Factoring Quadratic | x^2+6x+5 | (x+5)(x+1) | factoring |
| 22 | Third Angle of Triangle | Third angle of triangle with angles 6 and 29 = | 145 | third_angle_of_triangle | | 22 | Third Angle of Triangle | Third angle of triangle with angles 39 and 12 = | 129 | third_angle_of_triangle |
| 23 | Solve a System of Equations in R^2 | - 5y = -20, 3x + 9y = 9 | x = -9, y = 4 | system_of_equations | | 23 | Solve a System of Equations in R^2 | 9x + 7y = 14, -6x - 2y = -28 | x = 7, y = -7 | system_of_equations |
| 24 | Distance between 2 points | Find the distance between (-2, -4) and (21, -13) | sqrt(610) | distance_two_points | | 24 | Distance between 2 points | Find the distance between (3, -6) and (3, -5) | sqrt(1) | distance_two_points |
| 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 16 and 11 = | 19.42 | pythagorean_theorem | | 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 7 and 8 = | 10.63 | pythagorean_theorem |
| 26 | Linear Equations | 11x + 4y = -72, 17x + -18y = -208 | x = -8, y = 4 | linear_equations | | 26 | Linear Equations | -5x + -5y = 90, -7x + 4y = 137 | x = -19, y = 1 | linear_equations |
| 27 | Prime Factorisation | Find prime factors of 88 | [2, 2, 2, 11] | prime_factors | | 27 | Prime Factorisation | Find prime factors of 10 | [2, 5] | prime_factors |
| 28 | Fraction Multiplication | (7/3)*(2/10) | 7/15 | fraction_multiplication | | 28 | Fraction Multiplication | (2/9)*(8/10) | 8/45 | fraction_multiplication |
| 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 9 sides | 140.0 | angle_regular_polygon | | 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 14 sides | 154.29 | angle_regular_polygon |
| 30 | Combinations of Objects | Number of combinations from 16 objects picked 6 at a time | 8008 | combinations | | 30 | Combinations of Objects | Number of combinations from 18 objects picked 6 at a time | 18564 | combinations |
| 31 | Factorial | 2! = | 2 | factorial | | 31 | Factorial | 3! = | 6 | factorial |
| 32 | Surface Area of Cube | Surface area of cube with side = 3m is | 54 m^2 | surface_area_cube | | 32 | Surface Area of Cube | Surface area of cube with side = 18m is | 1944 m^2 | surface_area_cube |
| 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 9m, 1m, 14m is | 298 m^2 | surface_area_cuboid | | 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 12m, 13m, 1m is | 362 m^2 | surface_area_cuboid |
| 34 | Surface Area of Cylinder | Surface area of cylinder with height = 30m and radius = 3m is | 622 m^2 | surface_area_cylinder | | 34 | Surface Area of Cylinder | Surface area of cylinder with height = 17m and radius = 17m is | 3631 m^2 | surface_area_cylinder |
| 35 | Volum of Cube | Volume of cube with side = 16m is | 4096 m^3 | volume_cube | | 35 | Volum of Cube | Volume of cube with side = 16m is | 4096 m^3 | volume_cube |
| 36 | Volume of Cuboid | Volume of cuboid with sides = 4m, 12m, 11m is | 528 m^3 | volume_cuboid | | 36 | Volume of Cuboid | Volume of cuboid with sides = 7m, 13m, 14m is | 1274 m^3 | volume_cuboid |
| 37 | Volume of cylinder | Volume of cylinder with height = 32m and radius = 17m is | 29053 m^3 | volume_cylinder | | 37 | Volume of cylinder | Volume of cylinder with height = 2m and radius = 1m is | 6 m^3 | volume_cylinder |
| 38 | Surface Area of cone | Surface area of cone with height = 18m and radius = 16m is | 2014 m^2 | surface_area_cone | | 38 | Surface Area of cone | Surface area of cone with height = 4m and radius = 6m is | 249 m^2 | surface_area_cone |
| 39 | Volume of cone | Volume of cone with height = 24m and radius = 6m is | 904 m^3 | volume_cone | | 39 | Volume of cone | Volume of cone with height = 39m and radius = 15m is | 9189 m^3 | volume_cone |
| 40 | Common Factors | Common Factors of 73 and 75 = | [1] | common_factors | | 40 | Common Factors | Common Factors of 30 and 61 = | [1] | common_factors |
| 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = -10/4x - 6 and y = -2/5x + 2 | (-80/21, 74/21) | intersection_of_two_lines | | 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = 6/6x + 7 and y = 4x + 9 | (-2/3, 19/3) | intersection_of_two_lines |
| 42 | Permutations | Number of Permutations from 18 objects picked 5 at a time = | 1028160 | permutation | | 42 | Permutations | Number of Permutations from 15 objects picked 9 at a time = | 1816214400 | permutation |
| 43 | Cross Product of 2 Vectors | [-19, -17, 16] X [-3, -10, 19] = | [-163, 313, 139] | vector_cross | | 43 | Cross Product of 2 Vectors | [-10, 6, 12] X [-6, 4, 1] = | [-42, -62, -4] | vector_cross |
| 44 | Compare Fractions | Which symbol represents the comparison between 10/8 and 4/7? | > | compare_fractions | | 44 | Compare Fractions | Which symbol represents the comparison between 10/1 and 4/6? | > | compare_fractions |
| 45 | Simple Interest | Simple interest for a principle amount of 8277 dollars, 8% rate of interest and for a time period of 8 years is = | 5297.28 | simple_interest | | 45 | Simple Interest | Simple interest for a principle amount of 9743 dollars, 1% rate of interest and for a time period of 5 years is = | 487.15 | simple_interest |
| 46 | Multiplication of two matrices | Multiply<table><tr><td>5</td><td>-3</td><td>6</td></tr><tr><td>6</td><td>7</td><td>-2</td></tr><tr><td>5</td><td>5</td><td>-2</td></tr></table>and<table><tr><td>-6</td><td>4</td></tr><tr><td>-5</td><td>-2</td></tr><tr><td>-5</td><td>1</td></tr></table> | <table><tr><td>-45</td><td>32</td></tr><tr><td>-61</td><td>8</td></tr><tr><td>-45</td><td>8</td></tr></table> | matrix_multiplication | | 46 | Multiplication of two matrices | Multiply<table><tr><td>-4</td><td>-8</td></tr><tr><td>-4</td><td>-10</td></tr></table>and<table><tr><td>-5</td><td>9</td></tr><tr><td>7</td><td>-6</td></tr></table> | <table><tr><td>-36</td><td>12</td></tr><tr><td>-50</td><td>24</td></tr></table> | matrix_multiplication |
| 47 | Cube Root | cuberoot of 725 upto 2 decimal places is: | 8.98 | cube_root | | 47 | Cube Root | cuberoot of 439 upto 2 decimal places is: | 7.6 | cube_root |
| 48 | Power Rule Integration | 6x^8 + 10x^3 + 2x^8 + 8x^8 + 6x^9 | (6/8)x^9 + (10/3)x^4 + (2/8)x^9 + (8/8)x^9 + (6/9)x^10 + c | power_rule_integration | | 48 | Power Rule Integration | 2x^1 + 7x^4 + 10x^9 + 6x^10 | (2/1)x^2 + (7/4)x^5 + (10/9)x^10 + (6/10)x^11 + c | power_rule_integration |
| 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 34 , 200, 57 = | 69 | fourth_angle_of_quadrilateral | | 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 148 , 57, 12 = | 143 | fourth_angle_of_quadrilateral |
| 50 | Quadratic Equation | Zeros of the Quadratic Equation 28x^2+105x+65=0 | [-0.78, -2.97] | quadratic_equation | | 50 | Quadratic Equation | Zeros of the Quadratic Equation 72x^2+137x+32=0 | [-0.27, -1.63] | quadratic_equation |
| 51 | HCF (Highest Common Factor) | HCF of 14 and 7 = | 7 | hcf | | 51 | HCF (Highest Common Factor) | HCF of 17 and 1 = | 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 3 = | 1/6 | 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 2 = | 1/36 | dice_sum_probability |
| 53 | Exponentiation | 2^2 = | 4 | exponentiation | | 53 | Exponentiation | 18^1 = | 18 | exponentiation |
| 54 | Confidence interval For sample S | The confidence interval for sample [271, 209, 205, 219, 291, 221, 226, 217, 230, 272, 276, 293, 237, 252, 283, 253, 266, 240, 234, 207, 279] with 80% confidence is | (254.68568495447266, 238.74288647409878) | confidence_interval | | 54 | Confidence interval For sample S | The confidence interval for sample [268, 237, 275, 264, 256, 215, 225, 294, 286, 283, 239, 219, 287, 262, 241, 223, 273, 279, 206, 274, 228, 236, 252, 285, 212, 229, 254, 295, 244, 232, 211, 213, 210, 227, 255, 280] with 95% confidence is | (258.07181132546515, 240.20596645231262) | confidence_interval |
| 55 | Comparing surds | Fill in the blanks 8^(1/2) _ 55^(1/6) | > | surds_comparison | | 55 | Comparing surds | Fill in the blanks 95^(1/2) _ 45^(1/5) | > | 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 | | 56 | Fibonacci Series | The Fibonacci Series of the first 2 numbers is ? | [0, 1] | fibonacci_series |
| 57 | Trigonometric Values | What is cos(45)? | 1/√2 | basic_trigonometry | | 57 | Trigonometric Values | What is cos(90)? | 0 | basic_trigonometry |
| 58 | Sum of Angles of Polygon | Sum of angles of polygon with 6 sides = | 720 | sum_of_polygon_angles | | 58 | Sum of Angles of Polygon | Sum of angles of polygon with 4 sides = | 360 | sum_of_polygon_angles |
| 59 | Mean,Standard Deviation,Variance | Find the mean,standard deviation and variance for the data[25, 45, 11, 49, 43, 21, 18, 22, 46, 41, 48, 45, 47, 46, 22] | The Mean is 35.266666666666666 , Standard Deviation is 169.9288888888889, Variance is 13.035677538543553 | data_summary | | 59 | Mean,Standard Deviation,Variance | Find the mean,standard deviation and variance for the data[30, 16, 18, 10, 10, 21, 8, 27, 37, 8, 12, 25, 20, 9, 24] | The Mean is 18.333333333333332 , Standard Deviation is 75.42222222222222, Variance is 8.684596837057102 | data_summary |
| 60 | Surface Area of Sphere | Surface area of Sphere with radius = 20m is | 5026.548245743669 m^2 | surface_area_sphere | | 60 | Surface Area of Sphere | Surface area of Sphere with radius = 8m is | 804.247719318987 m^2 | surface_area_sphere |
| 61 | Volume of Sphere | Volume of sphere with radius 6 m = | 904.7786842338604 m^3 | volume_sphere | | 61 | Volume of Sphere | Volume of sphere with radius 42 m = | 310339.08869221417 m^3 | volume_sphere |
| 62 | nth Fibonacci number | What is the 98th Fibonacci number? | 135301852344707186688 | nth_fibonacci_number | | 62 | nth Fibonacci number | What is the 92th Fibonacci number? | 7540113804746369024 | nth_fibonacci_number |
| 63 | Profit or Loss Percent | Profit percent when CP = 88 and SP = 155 is: | 76.13636363636364 | profit_loss_percent | | 63 | Profit or Loss Percent | Profit percent when CP = 923 and SP = 973 is: | 5.417118093174431 | profit_loss_percent |
| 64 | Binary to Hexidecimal | 0111100 | 0x3c | binary_to_hex | | 64 | Binary to Hexidecimal | 011010110 | 0xd6 | binary_to_hex |
| 65 | Multiplication of 2 complex numbers | (6+15j) * (-11+14j) = | (-276-81j) | multiply_complex_numbers | | 65 | Multiplication of 2 complex numbers | (7+3j) * (9-10j) = | (93-43j) | multiply_complex_numbers |
| 66 | Geometric Progression | For the given GP [4, 8, 16, 32, 64, 128] ,Find the value of a,common ratio,10th term value, sum upto 7th term | The value of a is 4, common ratio is 2 , 10th term is 2048 , sum upto 7th term is 508.0 | geometric_progression | | 66 | Geometric Progression | For the given GP [9, 36, 144, 576, 2304, 9216] ,Find the value of a,common ratio,8th term value, sum upto 7th term | The value of a is 9, common ratio is 4 , 8th term is 147456 , sum upto 7th term is 49149.0 | geometric_progression |
| 67 | Geometric Mean of N Numbers | Geometric mean of 2 numbers 15 and 89 = | (15*89)^(1/2) = 36.53765181289022 | geometric_mean | | 67 | Geometric Mean of N Numbers | Geometric mean of 3 numbers 96 , 22 and 75 = | (96*22*75)^(1/3) = 54.1067845799048 | geometric_mean |
| 68 | Harmonic Mean of N Numbers | Harmonic mean of 4 numbers 57 , 38 , 60 , 25 = | 4/((1/57) + (1/38) + (1/60) + (1/25)) = 39.79057591623037 | harmonic_mean | | 68 | Harmonic Mean of N Numbers | Harmonic mean of 2 numbers 14 and 99 = | 2/((1/14) + (1/99)) = 24.530973451327437 | harmonic_mean |
| 69 | Euclidian norm or L2 norm of a vector | Euclidian norm or L2 norm of the vector[987.2988424731678, 717.1306649026507, 239.90848831697863, 979.8627407501484, 102.29066104606976, 458.7906478877879, 275.5546983244834, 225.6916602424589, 26.12527792643693, 366.7028959774343, 752.5264100654856] is: | 1885.7336411802055 | euclidian_norm | | 69 | Euclidian norm or L2 norm of a vector | Euclidian norm or L2 norm of the vector[13.74350761660692, 579.8164944254971, 343.9004348023842, 447.91085049813904, 242.73436069826982, 677.824056340719, 908.0309446289546, 143.65153181819267, 268.05852693335817, 63.42979841101859] is: | 1447.2967158340782 | euclidian_norm |
| 70 | Angle between 2 vectors | angle between the vectors [204.34, 989.9, 769.23, 587.22, 313.6, 598.75, 907.67, 221.31, 7.76, 716.11, 697.58, 26.04, 416.61, 562.5, 818.67, 197.06, 492.85, 507.85, 609.86, 475.4] and [877.86, 605.89, 409.16, 650.41, 32.59, 244.04, 903.77, 499.35, 438.81, 709.82, 656.49, 745.17, 497.04, 832.24, 195.85, 37.89, 851.83, 608.87, 119.84, 17.96] is: | 0.66 radians | angle_btw_vectors | | 70 | Angle between 2 vectors | angle between the vectors [554.45, 891.65, 845.2, 235.2, 741.43, 734.84, 92.76, 941.97, 885.6, 436.2, 476.49, 836.42, 743.03, 728.97, 963.3, 802.39] and [980.7, 745.14, 384.18, 452.88, 815.24, 725.39, 887.21, 828.72, 786.58, 990.6, 496.01, 439.13, 947.39, 737.59, 293.98, 880.62] is: | 0.5 radians | angle_btw_vectors |
| 71 | Absolute difference between two numbers | Absolute difference between numbers -40 and -6 = | 34 | absolute_difference | | 71 | Absolute difference between two numbers | Absolute difference between numbers 88 and -73 = | 161 | absolute_difference |
| 72 | Dot Product of 2 Vectors | [-17, 12, 6] . [-2, -9, 9] = | -20 | vector_dot | | 72 | Dot Product of 2 Vectors | [-14, -2, 13] . [0, -18, -2] = | 10 | vector_dot |
| 73 | Binary 2's Complement | 2's complement of 10100110 = | 1011010 | binary_2s_complement | | 73 | Binary 2's Complement | 2's complement of = | | binary_2s_complement |
| 74 | Inverse of a Matrix | Inverse of Matrix Matrix([[54, 47, 44], [59, 41, 7], [86, 33, 5]]) is: | Matrix([[26/56451, -1217/56451, 1475/56451], [-307/56451, 3514/56451, -2218/56451], [1579/56451, -2260/56451, 559/56451]]) | invert_matrix | | 74 | Inverse of a Matrix | Inverse of Matrix Matrix([[53, 17, 67], [59, 72, 87], [2, 51, 61]]) is: | Matrix([[-9/26269, 476/26269, -669/26269], [-685/26269, 3099/131345, -658/131345], [573/26269, -2669/131345, 2813/131345]]) | invert_matrix |
| 75 | Area of a Sector | Given radius, 23 and angle, 4. Find the area of the sector. | Area of sector = 18.46558 | sector_area | | 75 | Area of a Sector | Given radius, 44 and angle, 279. Find the area of the sector. | Area of sector = 4713.64562 | sector_area |
| 76 | Mean and Median | Given the series of numbers [19, 93, 45, 37, 39, 8, 48, 44, 12, 10]. find the arithmatic mean and mdian of the series | Arithmetic mean of the series is 35.5 and Arithmetic median of this series is 38.0 | mean_median | | 76 | Mean and Median | Given the series of numbers [67, 20, 53, 42, 74, 89, 54, 4, 37, 49]. find the arithmatic mean and mdian of the series | Arithmetic mean of the series is 48.9 and Arithmetic median of this series is 51.0 | mean_median |
| 77 | Determinant to 2x2 Matrix | Det([[73, 67], [64, 58]]) = | -54 | int_matrix_22_determinant | | 77 | Determinant to 2x2 Matrix | Det([[44, 92], [88, 57]]) = | -5588 | int_matrix_22_determinant |
| 78 | Compound Interest | Compound interest for a principle amount of 2095 dollars, 6% rate of interest and for a time period of 3 year is = | 2495.18 | compound_interest | | 78 | Compound Interest | Compound interest for a principle amount of 3765 dollars, 5% rate of interest and for a time period of 1 year is = | 3953.25 | compound_interest |
| 79 | Decimal to Hexadecimal | Binary of 494= | 0x1ee | decimal_to_hexadeci | | 79 | Decimal to Hexadecimal | Binary of 324= | 0x144 | decimal_to_hexadeci |
| 80 | Percentage of a number | What is 14% of 51? | Required percentage = 7.14% | percentage | | 80 | Percentage of a number | What is 45% of 71? | Required percentage = 31.95% | percentage |
| 81 | Celsius To Fahrenheit | Convert -22 degrees Celsius to degrees Fahrenheit = | -7.600000000000001 | celsius_to_fahrenheit | | 81 | Celsius To Fahrenheit | Convert 0 degrees Celsius to degrees Fahrenheit = | 32.0 | celsius_to_fahrenheit |
| 82 | AP Term Calculation | Find the term number 39 of the AP series: -42, -102, -162 ... | -2322 | arithmetic_progression_term | | 82 | AP Term Calculation | Find the term number 6 of the AP series: 29, -38, -105 ... | -306 | arithmetic_progression_term |
| 83 | AP Sum Calculation | Find the sum of first 49 terms of the AP series: 18, -50, -118 ... | -79086.0 | arithmetic_progression_sum | | 83 | AP Sum Calculation | Find the sum of first 50 terms of the AP series: -90, -141, -192 ... | -66975.0 | arithmetic_progression_sum |
| 84 | Converts decimal to octal | The decimal number 3746 in Octal is: | 0o7242 | decimal_to_octal | | 84 | Converts decimal to octal | The decimal number 84 in Octal is: | 0o124 | decimal_to_octal |
| 85 | Converts decimal to Roman Numerals | The number 2967 in Roman Numerals is: | MMCMLXVII | decimal_to_roman_numerals | | 85 | Converts decimal to Roman Numerals | The number 1646 in Roman Numerals is: | MDCXLVI | decimal_to_roman_numerals |
| 86 | Degrees to Radians | Angle 109 in radians is = | 1.9 | degree_to_rad | | 86 | Degrees to Radians | Angle 294 in radians is = | 5.13 | degree_to_rad |
| 87 | Radians to Degrees | Angle 3 in degrees is = | 171.89 | 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(sin(x)+9*x^3)/dx | 27*x^2 + cos(x) | differentiation | | 88 | Differentiation | differentiate w.r.t x : d(exp(x)+2*x^(-4))/dx | exp(x) - 8/x^5 | differentiation |
| 89 | Definite Integral of Quadratic Equation | The definite integral within limits 0 to 1 of the equation 50x^2 + 38x + 41 is = | 76.6667 | definite_integral | | 89 | Definite Integral of Quadratic Equation | The definite integral within limits 0 to 1 of the equation 100x^2 + 44x + 23 is = | 78.3333 | definite_integral |
| 90 | isprime | 11 | True | is_prime | | 90 | isprime | 99 | False | is_prime |
| 91 | Binary Coded Decimal to Integer | Integer of Binary Coded Decimal 7 is = | 29331 | bcd_to_decimal | | 91 | Binary Coded Decimal to Integer | Integer of Binary Coded Decimal 7 is = | 29969 | bcd_to_decimal |
| 92 | Complex To Polar Form | rexp(itheta) = | 14.42exp(i-2.55) | complex_to_polar | | 92 | Complex To Polar Form | rexp(itheta) = | 22.67exp(i2.42) | complex_to_polar |
| 93 | Union,Intersection,Difference of Two Sets | Given the two sets a={2, 3, 4, 5, 6, 8, 10} ,b={4, 5, 6, 7}.Find the Union,intersection,a-b,b-a and symmetric difference | Union is {2, 3, 4, 5, 6, 7, 8, 10},Intersection is {4, 5, 6}, a-b is {8, 10, 2, 3},b-a is {7}, Symmetric difference is {2, 3, 7, 8, 10} | set_operation | | 93 | Union,Intersection,Difference of Two Sets | Given the two sets a={8, 1, 4, 7} ,b={1, 2, 4, 7}.Find the Union,intersection,a-b,b-a and symmetric difference | Union is {1, 2, 4, 7, 8},Intersection is {1, 4, 7}, a-b is {8},b-a is {2}, Symmetric difference is {2, 8} | set_operation |
| 94 | Base Conversion | Convert 33210 from base 10 to base 11. | 22A51 | base_conversion | | 94 | Base Conversion | Convert 344333 from base 6 to base 4. | 13031001 | base_conversion |
| 95 | Curved surface area of a cylinder | What is the curved surface area of a cylinder of radius, 3 and height, 21? | CSA of cylinder = 395.84 | curved_surface_area_cylinder | | 95 | Curved surface area of a cylinder | What is the curved surface area of a cylinder of radius, 1 and height, 69? | CSA of cylinder = 433.54 | curved_surface_area_cylinder |
| 96 | Perimeter of Polygons | The perimeter of a 10 sided polygon with lengths of [11, 117, 72, 120, 46, 96, 40, 76, 15, 19]cm is: | 612 | perimeter_of_polygons | | 96 | Perimeter of Polygons | The perimeter of a 8 sided polygon with lengths of [88, 89, 103, 89, 98, 88, 114, 70]cm is: | 739 | perimeter_of_polygons |
| 97 | Power of Powers | The 41^3^4 = 41^(3*4) = 41^12 | 22563490300366186081 | power_of_powers | | 97 | Power of Powers | The 44^6^10 = 44^(6*10) = 44^60 | 404725519480944371837890113388236472786198610068547182641046982530192155481830472108593384496562176 | power_of_powers |
| 98 | Quotient of Powers with Same Base | The Quotient of 19^2 and 19^2 = 19^(2-2) = 19^0 | 1 | quotient_of_power_same_base | | 98 | Quotient of Powers with Same Base | The Quotient of 26^7 and 26^10 = 26^(7-10) = 26^-3 | 5.689576695493855e-05 | quotient_of_power_same_base |
| 99 | Quotient of Powers with Same Power | The Quotient of 29^3 and 22^3 = (29/22)^3 = 1.3181818181818181^3 | 2.2904770848985723 | quotient_of_power_same_power | | 99 | Quotient of Powers with Same Power | The Quotient of 3^10 and 5^10 = (3/5)^10 = 0.6^10 | 0.006046617599999997 | quotient_of_power_same_power |
| 100 | complex Quadratic Equation | Find the roots of given Quadratic Equation 9x^2 + 9x + 2 = 0 | simplified solution : ((-0.333, -0.667)), generalized solution : ((-9 + 3)/2*9, (-9 - 3)/2*9) | complex_quadratic | | 100 | complex Quadratic Equation | Find the roots of given Quadratic Equation x^2 + 8x + 1 = 0 | simplified solution : ((-0.127, -7.873)), generalized solution : ((-8 + sqrt(60))/2*1, (-8 - sqrt(60))/2*1) | complex_quadratic |
| 101 | Leap Year or Not | Year 1932 | is a leap year | is_leap_year |
| 102 | Minute to Hour conversion | Convert 751 minutes to Hours & Minutes | 12 hours and 31 minutes | minutes_to_hours |

2
mathgenerator/funcs/__init__.py
View File

@@ -106,4 +106,4 @@ from .quotient_of_power_same_base import *
from .quotient_of_power_same_power import * from .quotient_of_power_same_power import *
from .complex_quadratic import * from .complex_quadratic import *
from .is_leap_year import * from .is_leap_year import *
from .minutesToHours import * from .minutes_to_hours import *

13
mathgenerator/funcs/minutesToHoursFunc.py
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@@ -1,13 +0,0 @@
from .__init__ import *
def minutesToHoursFunc(maxMinutes=999):
minutes = random.randint(1, maxMinutes)
hours1 = int(minutes/60)
hours2 = minutes%60
problem = f"Convert {minutes} minutes to Hours & Minutes"
solution = f"minutes_to_hours(230) = {hours1}h:{hours2}m"
return problem, solution
minutesToHours = Generator("Minute to Hour conversion", 96 , "Convert minutes to Hours & Minutes", "hours:minutes", minutesToHoursFunc)

14
mathgenerator/funcs/minutes_to_hours.py Normal file
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@@ -0,0 +1,14 @@
from .__init__ import *
def minutesToHoursFunc(maxMinutes=999):
minutes = random.randint(1, maxMinutes)
hours1 = int(minutes / 60)
hours2 = minutes % 60
problem = f"Convert {minutes} minutes to Hours & Minutes"
solution = f"{hours1} hours and {hours2} minutes"
return problem, solution
minutes_to_hours = Generator("Minute to Hour conversion", 102,
"Convert minutes to Hours & Minutes", "hours:minutes", minutesToHoursFunc)

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(101)) print(mathgen.genById(102))