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🤖 made makeReadme.py fully automated
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D-T-666
136
README.md
136
README.md
@@ -30,66 +30,80 @@ problem, solution = mathgen.genById(0)
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| Id | Skill | Example problem | Example Solution | Function Name |
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|------|-----------------------------------|--------------------|-----------------------|--------------------------|
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| 0 | Addition | 42+2= | 44 | addition |
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| 1 | Subtraction | 32-26= | 6 | subtraction |
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| 2 | Multiplication | 77*1= | 77 | multiplication |
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| 3 | Division | 66/9= | 7.333333333333333 | division |
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| 4 | Binary Complement 1s | 1010000 | 0101111 | binaryComplement1s |
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| 5 | Modulo Division | 61%35= | 26 | moduloDivision |
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| 6 | Square Root | sqrt(1)= | 1 | squareRoot |
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| 7 | Power Rule Differentiation | 5x^5 | 25x^4 | powerRuleDifferentiation |
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| 8 | Square | 20^2= | 400 | square |
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| 9 | LCM (Least Common Multiple) | LCM of 19 and 5 = | 95 | lcm |
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| 10 | GCD (Greatest Common Denominator) | GCD of 10 and 11 = | 1 | gcd |
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| 11 | Basic Algebra | 3x + 7 = 8 | 1/3 | basicAlgebra |
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| 12 | Logarithm | log2(128) | 7 | log |
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| 13 | Easy Division | 306/18 = | 17 | intDivision |
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| 14 | Decimal to Binary | Binary of 28= | 11100 | decimalToBinary |
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| 15 | Binary to Decimal | 10001101 | 141 | binaryToDecimal |
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| 16 | Fraction Division | (4/1)/(6/3) | 2 | fractionDivision |
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| 17 | Integer Multiplication with 2x2 Matrix | 5 * [[10, 3], [0, 1]] = | [[50,15],[0,5]] | intMatrix22Multiplication |
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| 18 | Area of Triangle | Area of triangle with side lengths: 13 2 14 = | 11.659223816361019 | areaOfTriangle |
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| 19 | Triangle exists check | Does triangle with sides 3, 4 and 25 exist? | No | doesTriangleExist |
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| 20 | Midpoint of the two point | (4,-11),(17,-5)= | (10.5,-8.0) | midPointOfTwoPoint |
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[//]: # list start
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| 0 | Addition | 33+23= | 56 | addition |
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| 1 | Subtraction | 14-1= | 13 | subtraction |
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| 2 | Multiplication | 52*1= | 52 | multiplication |
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| 3 | Division | 14/26= | 0.5384615384615384 | division |
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| 4 | Binary Complement 1s | 0110111= | 1001000 | binaryComplement1s |
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| 5 | Modulo Division | 23%70= | 23 | moduloDivision |
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| 6 | Square Root | sqrt(121)= | 11 | squareRoot |
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| 7 | Power Rule Differentiation | 3x^2 + 3x^5 + 1x^2 + 6x^4 + 6x^3 | 6x^1 + 15x^4 + 2x^1 + 24x^3 + 18x^2 | powerRuleDifferentiation |
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| 8 | Square | 18^2= | 324 | square |
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| 9 | LCM (Least Common Multiple) | LCM of 17 and 11 = | 187 | lcm |
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| 10 | GCD (Greatest Common Denominator) | GCD of 15 and 12 = | 3 | gcd |
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| 11 | Basic Algebra | 2x + 3 = 10 | 7/2 | basicAlgebra |
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| 12 | Logarithm | log2(32) | 5 | log |
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| 13 | Easy Division | 196/14 = | 14 | intDivision |
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| 14 | Decimal to Binary | Binary of 61= | 111101 | decimalToBinary |
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| 15 | Binary to Decimal | 1 | 1 | binaryToDecimal |
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| 16 | Fraction Division | (2/1)/(10/5) | 1 | fractionDivision |
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| 17 | Integer Multiplication with 2x2 Matrix | 16 * [[4, 1], [1, 2]] = | [[64,16],[16,32]] | intMatrix22Multiplication |
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| 18 | Area of Triangle | Area of triangle with side lengths: 15 13 11 = | 69.62892717829278 | areaOfTriangle |
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| 19 | Triangle exists check | Does triangle with sides 35, 14 and 37 exist? | Yes | doesTriangleExist |
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| 20 | Midpoint of the two point | (15,5),(9,10)= | (12.0,7.5) | midPointOfTwoPoint |
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| 21 | Factoring Quadratic | x^2-12x+35 | (x-7)(x-5) | factoring |
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| 22 | Third Angle of Triangle | Third angle of triangle with angles 20 and 62 = | 98 | thirdAngleOfTriangle |
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| 23 | Solve a System of Equations in R^2 | 5x - 7y = -84, 4x + 5y = 7 | x = -7, y = 7 | systemOfEquations |
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| 24 | Distance between 2 points | Find the distance between (5, -18) and (1, 19) | sqrt(1385) | distance2Point |
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| 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 15 and 5 = | 15.81 | pythagoreanTheorem |
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| 26 | Linear Equations | -6x + -17y = -220
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-13x + -19y = -120 | x = -20, y = 20 | linearEquations |
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| 27 | Prime Factorisation | Find prime factors of 62 | [2, 31] | primeFactors |
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| 28 | Fraction Multiplication | (8/4)*(1/2) | 1 | fractionMultiplication |
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| 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 19 sides | 161.05 | angleRegularPolygon |
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| 30 | Combinations of Objects | Number of combinations from 12 objects picked 1 at a time | 12 | combinations |
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| 31 | Factorial | 0! = | 1 | factorial |
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| 32 | Surface Area of Cube | Surface area of cube with side = 8m is | 384 m^2 | surfaceAreaCubeGen |
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| 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 18m, 17m, 1m is | 682 m^2 | surfaceAreaCuboidGen |
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| 34 | Surface Area of Cylinder | Surface area of cylinder with height = 31m and radius = 1m is | 201 m^2 | surfaceAreaCylinderGen |
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| 35 | Volum of Cube | Volume of cube with side = 9m is | 729 m^3 | volumeCubeGen |
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| 36 | Volume of Cuboid | Volume of cuboid with sides = 20m, 1m, 10m is | 200 m^3 | volumeCuboidGen |
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| 37 | Volume of cylinder | Volume of cylinder with height = 7m and radius = 7m is | 1077 m^3 | volumeCylinderGen |
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| 38 | Surface Area of cone | Surface area of cone with height = 47m and radius = 13m is | 2522 m^2 | surfaceAreaConeGen |
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| 39 | Volume of cone | Volume of cone with height = 4m and radius = 4m is | 67 m^3 | volumeConeGen |
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| 40 | Common Factors | Common Factors of 20 and 90 = | [1, 2, 5, 10] | commonFactors |
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| 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = -3/6x + 1 and y = 0/2x + 6 | (-10, 6) | intersectionOfTwoLines |
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| 42 | Permutations | Number of Permutations from 11 objects picked 2 at a time = | 110 | permutations |
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| 43 | Cross Product of 2 Vectors | [-19, -3, 2] X [-15, -12, 7] = | [3, 103, 183] | vectorCross |
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| 44 | Compare Fractions | Which symbol represents the comparison between 8/6 and 3/1? | < | compareFractions |
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| 45 | Simple Interest | Simple interest for a principle amount of 9862 dollars, 4% rate of interest and for a time period of 1 years is = | 394.48 | simpleInterest |
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| 46 | Multiplication of two matrices | Multiply <table><tr><td>-50</td><td>36</td><td>7</td><td>-26</td><td>-2</td><td>63</td></tr><tr><td>88</td><td>-37</td><td>60</td><td>-19</td><td>61</td><td>-56</td></tr><tr><td>48</td><td>-5</td><td>69</td><td>-87</td><td>-64</td><td>-92</td></tr><tr><td>-84</td><td>-50</td><td>-79</td><td>-19</td><td>86</td><td>-13</td></tr><tr><td>0</td><td>28</td><td>12</td><td>-14</td><td>73</td><td>-49</td></tr><tr><td>94</td><td>-90</td><td>2</td><td>26</td><td>-38</td><td>19</td></tr><tr><td>2</td><td>-11</td><td>79</td><td>-77</td><td>98</td><td>-77</td></tr><tr><td>-87</td><td>70</td><td>72</td><td>-32</td><td>64</td><td>-99</td></tr></table> and <table><tr><td>34</td><td>32</td><td>-6</td><td>-32</td><td>46</td><td>-23</td><td>78</td><td>-81</td><td>-18</td></tr><tr><td>-17</td><td>24</td><td>49</td><td>-62</td><td>-50</td><td>77</td><td>38</td><td>-98</td><td>-64</td></tr><tr><td>-23</td><td>-78</td><td>43</td><td> 5</td><td>-83</td><td>-5</td><td> 4</td><td>-92</td><td>-16</td></tr><tr><td> 46</td><td>-47</td><td>-92</td><td>52</td><td>-25</td><td>-37</td><td>44</td><td>51</td><td>-7</td></tr><tr><td> 20</td><td>26</td><td>70</td><td>37</td><td>96</td><td>-73</td><td>49</td><td>84</td><td>42</td></tr><tr><td>-72</td><td>-15</td><td>-80</td><td>-24</td><td>58</td><td>-47</td><td>-41</td><td>45</td><td>-69</td></tr></table>| <table><tr><td>-8245</td><td>-1057</td><td>-423</td><td>-3535</td><td>-569</td><td>2034</td><td>-6329</td><td>1219</td><td>-5765</td></tr><tr><td>6619</td><td> 567</td><td>10737</td><td>2391</td><td>4001</td><td>-6291</td><td>10147</td><td>-7387</td><td>6383</td></tr><tr><td>1472</td><td>-161</td><td>13318</td><td>-5565<td>-12574</td><td>10381</td><td> 638<td>-23699</td><td>2621</td></tr><tr><td>1593</td><td>5598</td><td>3465</td><td>7899</td><td>13170</td><td>-6487</td><td>-4857</td><td>24642</td><td>10618</td></tr><tr><td>3592</td><td>3027</td><td>12206</td><td>1473</td><td>2120</td><td>-412</td><td>6082</td><td>-635</td><td>4561</td></tr><tr><td>3748</td><td>-1803<td>-11460</td><td>2072</td><td>5462</td><td>-8183</td><td>2423</td><td>11</td><td> 947</td></tr><tr><td>2400</td><td> 960</td><td>22950</td><td>2483</td><td> 952</td><td>-1974</td><td>4625</td><td>-5512</td><td>9372</td></tr><tr><td>1132</td><td>-2067</td><td>22392</td><td>1884<td>-12276</td><td>8196</td><td>1949</td><td>-7148</td><td>5677</td></tr></table> | matrixMultiplication |
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| 47 | Cube Root | cuberoot of 771 upto 2 decimal places is: | 9.17 | CubeRoot |
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| 48 | Power Rule Integration | 1x^3 + 8x^8 + 10x^10 | (1/3)x^4 + (8/8)x^9 + (10/10)x^11 + c | powerRuleIntegration |
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| 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 52 , 84, 154 = | 70 | fourthAngleOfQuadrilateral |
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| 50 | Quadratic Equation | Zeros of the Quadratic Equation 51x^2+152x+80=0 | [-0.68, -2.3] | quadraticEquationSolve |
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| 51 | HCF (Highest Common Factor) | HCF of 11 and 7 = | 1 | hcf |
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| 22 | Third Angle of Triangle | Third angle of triangle with angles 37 and 54 = | 89 | thirdAngleOfTriangle |
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| 23 | Solve a System of Equations in R^2 | -4x - 8y = 60, -9x + 10y = 51 | x = -9, y = -3 | systemOfEquations |
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| 24 | Distance between 2 points | Find the distance between (16, 7) and (19, 14) | sqrt(58) | distance2Point |
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| 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 18 and 8 = | 19.70 | pythagoreanTheorem |
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| 26 | Linear Equations | -8x + 15y = -109
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6x + -14y = 90 | x = 8, y = -3 | linearEquations |
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| 27 | Prime Factorisation | Find prime factors of 130 | [2, 5, 13] | primeFactors |
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| 28 | Fraction Multiplication | (8/9)*(3/2) | 4/3 | fractionMultiplication |
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| 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 8 sides | 135.0 | angleRegularPolygon |
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| 30 | Combinations of Objects | Number of combinations from 11 objects picked 9 at a time | 55 | combinations |
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| 31 | Factorial | 2! = | 2 | factorial |
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| 32 | Surface Area of Cube | Surface area of cube with side = 17m is | 1734 m^2 | surfaceAreaCubeGen |
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| 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 8m, 4m, 17m is | 472 m^2 | surfaceAreaCuboidGen |
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| 34 | Surface Area of Cylinder | Surface area of cylinder with height = 32m and radius = 18m is | 5654 m^2 | surfaceAreaCylinderGen |
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| 35 | Volum of Cube | Volume of cube with side = 11m is | 1331 m^3 | volumeCubeGen |
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| 36 | Volume of Cuboid | Volume of cuboid with sides = 14m, 19m, 1m is | 266 m^3 | volumeCuboidGen |
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| 37 | Volume of cylinder | Volume of cylinder with height = 16m and radius = 18m is | 16286 m^3 | volumeCylinderGen |
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| 38 | Surface Area of cone | Surface area of cone with height = 48m and radius = 20m is | 4523 m^2 | surfaceAreaConeGen |
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| 39 | Volume of cone | Volume of cone with height = 29m and radius = 6m is | 1093 m^3 | volumeConeGen |
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| 40 | Common Factors | Common Factors of 59 and 57 = | [1] | commonFactors |
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| 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = -1/4x - 2 and y = 4/5x + 3 | (-100/21, -17/21) | intersectionOfTwoLines |
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| 42 | Permutations | Number of Permutations from 13 objects picked 8 at a time = | 51891840 | permutations |
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| 43 | Cross Product of 2 Vectors | [4, -11, 9] X [-8, -19, -5] = | [226, -52, -164] | vectorCross |
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| 44 | Compare Fractions | Which symbol represents the comparison between 3/7 and 2/4? | < | compareFractions |
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| 45 | Simple Interest | Simple interest for a principle amount of 2398 dollars, 9% rate of interest and for a time period of 5 years is = | 1079.1 | simpleInterest |
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| 46 | Multiplication of two matrices | Multiply
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<table><tr><td> -83</td><td> 6</td><td> 91</td><td> 4</td><td> -58</td><td> 91</td><td> -91</td><td> 47</td><td> -87</td></tr> <tr><td> 4</td><td> -2</td><td> 24</td><td> 66</td><td> -58</td><td> -58</td><td> -46</td><td> -96</td><td> 52</td></tr> <tr><td> -5</td><td> 5</td><td> -53</td><td> 74</td><td> 31</td><td> -67</td><td> 65</td><td> -31</td><td> 56</td></tr> <tr><td> 77</td><td> -16</td><td> -73</td><td> 50</td><td> 54</td><td> -46</td><td> -11</td><td> 91</td><td> 64</td></tr></table> and
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<table><tr><td> -59</td><td> -20</td><td> -50</td><td> -79</td><td> 75</td><td> 96</td></tr> <tr><td> -56</td><td> 36</td><td> 70</td><td> 47</td><td> -79</td><td> 64</td></tr> <tr><td> 6</td><td> 0</td><td> -8</td><td> -53</td><td> -23</td><td> -83</td></tr> <tr><td> -42</td><td> -84</td><td> 21</td><td> -10</td><td> -42</td><td> 98</td></tr> <tr><td> -9</td><td> -62</td><td> -15</td><td> -68</td><td> -49</td><td> -59</td></tr> <tr><td> -81</td><td> -84</td><td> 3</td><td> 58</td><td> -84</td><td> -59</td></tr> <tr><td> -56</td><td> 33</td><td> 73</td><td> 98</td><td> 51</td><td> -19</td></tr> <tr><td> -81</td><td> -96</td><td> -98</td><td> 61</td><td> -32</td><td> 73</td></tr> <tr><td> -43</td><td> 66</td><td> 83</td><td> 90</td><td> -22</td><td> -94]] | [[ 3120, -15765, -13401, -2683, -17993, -3354]
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[ 10584, 13902, 11916, -7446, 4430, 554]
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[ -1800, 6587, 14343, 6224, 4525, 4853]
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[-12452, -10675, -8693, 427, 2955, 17691]] | matrixMultiplication |
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| 47 | Cube Root | cuberoot of 221 upto 2 decimal places is: | 6.05 | CubeRoot |
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| 48 | Power Rule Integration | 4x^5 + 2x^5 + 9x^8 + 9x^5 | (4/5)x^6 + (2/5)x^6 + (9/8)x^9 + (9/5)x^6 + c | powerRuleIntegration |
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| 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 27 , 155, 116 = | 62 | fourthAngleOfQuadrilateral |
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| 50 | Quadratic Equation | Zeros of the Quadratic Equation 53x^2+200x+78=0 | [-0.44, -3.33] | quadraticEquationSolve |
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| 51 | HCF (Highest Common Factor) | HCF of 7 and 4 = | 1 | hcf |
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| 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 11 = | 2/36 | diceSumProbability |
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| 53 | Exponentiation | 9^9 = | 387420489 | exponentiation |
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| 54 | Confidence interval For sample S | The confidence interval for sample [291, 254, 274, 207, 253, 289, 268, 280, 225, 240, 278, 270, 247, 252, 211, 212, 295, 241, 290, 206, 222, 263, 264, 228, 229, 256, 209, 292] with 99% confidence is | (265.560249263099, 237.72546502261523) | confidenceInterval |
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| 55 | Comparing surds | Fill in the blanks 16^(1/7) _ 67^(1/6) | < | surdsComparison |
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| 56 | Fibonacci Series | The Fibonacci Series of the first 11 numbers is ? | [0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55] | fibonacciSeries |
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| 57 | Trigonometric Values | What is cos(60)? | 1/2 | basicTrigonometry |
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| 58 | Sum of Angles of Polygon | Sum of angles of polygon with 5 sides = | 540 | sumOfAnglesOfPolygon |
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| 59 | Mean,Standard Deviation,Variance | Find the mean,standard deviation and variance for the data[38, 29, 43, 25, 7, 10, 13, 14, 43, 44, 30, 42, 48, 48, 42] | The Mean is 31.733333333333334 , Standard Deviation is 199.26222222222222, Variance is 14.116027140177303 | dataSummary |
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| 59 | Surface Area of Sphere | Surface area of Sphere with radius = 13m is | 2123.7166338267 m^2 | surfaceAreaSphereGen |
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| 60 | Volume of Sphere | Volume of sphere with radius 84 m = | 2482712.7095377133 m^3 | volumeSphere |
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| 53 | Exponentiation | 9^10 = | 3486784401 | exponentiation |
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| 54 | Confidence interval For sample S | The confidence interval for sample [266, 201, 278, 209, 229, 275, 216, 234, 219, 276, 282, 281, 208, 247, 265, 273, 286, 202, 231, 207, 251, 203, 259, 288, 291, 260, 210, 263, 222] with 99% confidence is | (260.5668079141175, 231.29526105139982) | confidenceInterval |
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| 55 | Comparing surds | Fill in the blanks 15^(1/9) _ 55^(1/1) | < | surdsComparison |
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| 56 | Fibonacci Series | The Fibonacci Series of the first 10 numbers is ? | [0, 1, 1, 2, 3, 5, 8, 13, 21, 34] | fibonacciSeries |
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| 57 | Trigonometric Values | What is tan(30)? | 1/√3 | basicTrigonometry |
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| 58 | Sum of Angles of Polygon | Sum of angles of polygon with 3 sides = | 180 | sumOfAnglesOfPolygon |
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| 59 | Mean,Standard Deviation,Variance | Find the mean,standard deviation and variance for the data[36, 13, 31, 23, 38, 34, 24, 20, 41, 14, 19, 31, 11, 49, 49] | The Mean is 28.866666666666667 , Standard Deviation is 143.5822222222222, Variance is 11.982579948501167 | dataSummary |
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| 59 | Surface Area of Sphere | Surface area of Sphere with radius = 11m is | 1520.5308443374597 m^2 | surfaceAreaSphereGen |
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| 60 | Volume of Sphere | Volume of sphere with radius 73 m = | 1629510.5990953872 m^3 | volumeSphere |
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| 61 | nth Fibonacci number | What is the 68th Fibonacci number? | 72723460248141 | nthFibonacciNumberGen |
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| 62 | Profit or Loss Percent | Profit percent when CP = 825 and SP = 972 is: | 17.81818181818182 | profitLossPercent |
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| 63 | Binary to Hexidecimal | 100000 | 0x20 | binaryToHex |
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| 64 | Multiplication of 2 complex numbers | (3+14j) * (-3+16j) = | (-233+6j) | complexNumMultiply |
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| 65 | Geometric Progression | For the given GP [4, 16, 64, 256, 1024, 4096] ,Find the value of a,common ratio,8th term value, sum upto 7th term | The value of a is 4, common ratio is 4 , 8th term is 65536 , sum upto 7th term is 21844.0 | geometricprogression |
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| 66 | Geometric Mean of N Numbers | Geometric mean of 3 numbers 81 , 35 and 99 = | (81*35*99)^(1/3) = 65.47307713912309 | geometricMean |
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| 67 | Harmonic Mean of N Numbers | Harmonic mean of 2 numbers 99 and 25 = | 2/((1/99) + (1/25)) = 39.91935483870967 | harmonicMean |
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