diff --git a/README.md b/README.md index 30f9247..160c266 100644 --- a/README.md +++ b/README.md @@ -31,113 +31,114 @@ problem, solution = mathgen.genById(0) | Id | Skill | Example problem | Example Solution | Function Name | |------|-----------------------------------|--------------------|-----------------------|--------------------------| [//]: # list start -| 0 | Addition | 10+48= | 58 | addition | -| 1 | Subtraction | 92-21= | 71 | subtraction | -| 2 | Multiplication | 89*0= | 0 | multiplication | -| 3 | Division | 9/11= | 0.8181818181818182 | division | -| 4 | Binary Complement 1s | 11001= | 00110 | binary_complement_1s | -| 5 | Modulo Division | 45%50= | 45 | modulo_division | -| 6 | Square Root | sqrt(25)= | 5 | square_root | -| 7 | Power Rule Differentiation | 3x^8 + 3x^3 + 8x^4 + 8x^8 + 8x^5 | 24x^7 + 9x^2 + 32x^3 + 64x^7 + 40x^4 | power_rule_differentiation | -| 8 | Square | 3^2= | 9 | square | -| 9 | LCM (Least Common Multiple) | LCM of 13 and 16 = | 208 | lcm | -| 10 | GCD (Greatest Common Denominator) | GCD of 1 and 20 = | 1 | gcd | -| 11 | Basic Algebra | 4x + 2 = 9 | 7/4 | basic_algebra | -| 12 | Logarithm | log2(8) | 3 | log | -| 13 | Easy Division | 10/5 = | 2 | int_division | -| 14 | Decimal to Binary | Binary of 89= | 1011001 | decimal_to_binary | -| 15 | Binary to Decimal | 00011010 | 26 | binary_to_decimal | -| 16 | Fraction Division | (5/9)/(5/1) | 1/9 | divide_fractions | -| 17 | Integer Multiplication with 2x2 Matrix | 9 * [[7, 6], [0, 3]] = | [[63,54],[0,27]] | multiply_int_to_22_matrix | -| 18 | Area of Triangle | Area of triangle with side lengths: 7 6 9 = | 20.97617696340303 | area_of_triangle | -| 19 | Triangle exists check | Does triangle with sides 1, 9 and 28 exist? | No | valid_triangle | -| 20 | Midpoint of the two point | (11,-12),(-16,-17)= | (-2.5,-14.5) | midpoint_of_two_points | -| 21 | Factoring Quadratic | x^2+6x-7 | (x-1)(x+7) | factoring | -| 22 | Third Angle of Triangle | Third angle of triangle with angles 76 and 64 = | 40 | third_angle_of_triangle | -| 23 | Solve a System of Equations in R^2 | -3x - 7y = -56, -8x + 5y = 40 | x = 0, y = 8 | system_of_equations | -| 24 | Distance between 2 points | Find the distance between (-14, 5) and (9, -4) | sqrt(610) | distance_two_points | -| 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 9 and 9 = | 12.73 | pythagorean_theorem | -| 26 | Linear Equations | 15x = -75, 15x + -10y = -35 | x = -5, y = -4 | linear_equations | -| 27 | Prime Factorisation | Find prime factors of 101 | [101] | prime_factors | -| 28 | Fraction Multiplication | (6/2)*(10/4) | 15/2 | fraction_multiplication | -| 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 12 sides | 150.0 | angle_regular_polygon | -| 30 | Combinations of Objects | Number of combinations from 13 objects picked 6 at a time | 1716 | combinations | -| 31 | Factorial | 6! = | 720 | factorial | +| 0 | Addition | 27+1= | 28 | addition | +| 1 | Subtraction | 32-27= | 5 | subtraction | +| 2 | Multiplication | 15*3= | 45 | multiplication | +| 3 | Division | 22/52= | 0.4230769230769231 | division | +| 4 | Binary Complement 1s | 000= | 111 | binary_complement_1s | +| 5 | Modulo Division | 36%44= | 36 | modulo_division | +| 6 | Square Root | sqrt(9)= | 3 | square_root | +| 7 | Power Rule Differentiation | 4x^4 + 4x^8 + 3x^2 + 4x^1 | 16x^3 + 32x^7 + 6x^1 + 4x^0 | power_rule_differentiation | +| 8 | Square | 10^2= | 100 | square | +| 9 | LCM (Least Common Multiple) | LCM of 5 and 7 = | 35 | lcm | +| 10 | GCD (Greatest Common Denominator) | GCD of 9 and 2 = | 1 | gcd | +| 11 | Basic Algebra | 2x + 1 = 10 | 9/2 | basic_algebra | +| 12 | Logarithm | log2(2) | 1 | log | +| 13 | Easy Division | 154/7 = | 22 | int_division | +| 14 | Decimal to Binary | Binary of 81= | 1010001 | decimal_to_binary | +| 15 | Binary to Decimal | 10010 | 18 | binary_to_decimal | +| 16 | Fraction Division | (2/10)/(6/10) | 1/3 | divide_fractions | +| 17 | Integer Multiplication with 2x2 Matrix | 4 * [[8, 2], [10, 5]] = | [[32,8],[40,20]] | multiply_int_to_22_matrix | +| 18 | Area of Triangle | Area of triangle with side lengths: 15 17 7 = | 52.36590016413353 | area_of_triangle | +| 19 | Triangle exists check | Does triangle with sides 14, 12 and 40 exist? | No | valid_triangle | +| 20 | Midpoint of the two point | (20,-15),(3,-16)= | (11.5,-15.5) | midpoint_of_two_points | +| 21 | Factoring Quadratic | x^2-16x+63 | (x-7)(x-9) | factoring | +| 22 | Third Angle of Triangle | Third angle of triangle with angles 39 and 55 = | 86 | third_angle_of_triangle | +| 23 | Solve a System of Equations in R^2 | 3x + 2y = -16, 3x + 2y = -16 | x = -6, y = 1 | system_of_equations | +| 24 | Distance between 2 points | Find the distance between (17, 17) and (16, 0) | sqrt(290) | distance_two_points | +| 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 3 and 6 = | 6.71 | pythagorean_theorem | +| 26 | Linear Equations | -9x + -4y = 44, -20x + -9y = 97 | x = -8, y = 7 | linear_equations | +| 27 | Prime Factorisation | Find prime factors of 199 | [199] | prime_factors | +| 28 | Fraction Multiplication | (6/4)*(1/5) | 3/10 | fraction_multiplication | +| 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 20 sides | 162.0 | angle_regular_polygon | +| 30 | Combinations of Objects | Number of combinations from 19 objects picked 5 at a time | 11628 | combinations | +| 31 | Factorial | 5! = | 120 | factorial | | 32 | Surface Area of Cube | Surface area of cube with side = 11m is | 726 m^2 | surface_area_cube | -| 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 18m, 14m, 3m is | 696 m^2 | surface_area_cuboid | -| 34 | Surface Area of Cylinder | Surface area of cylinder with height = 28m and radius = 16m is | 4423 m^2 | surface_area_cylinder | +| 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 14m, 15m, 11m is | 1058 m^2 | surface_area_cuboid | +| 34 | Surface Area of Cylinder | Surface area of cylinder with height = 30m and radius = 1m is | 194 m^2 | surface_area_cylinder | | 35 | Volum of Cube | Volume of cube with side = 8m is | 512 m^3 | volume_cube | -| 36 | Volume of Cuboid | Volume of cuboid with sides = 17m, 11m, 18m is | 3366 m^3 | volume_cuboid | -| 37 | Volume of cylinder | Volume of cylinder with height = 45m and radius = 7m is | 6927 m^3 | volume_cylinder | -| 38 | Surface Area of cone | Surface area of cone with height = 19m and radius = 8m is | 719 m^2 | surface_area_cone | -| 39 | Volume of cone | Volume of cone with height = 44m and radius = 11m is | 5575 m^3 | volume_cone | -| 40 | Common Factors | Common Factors of 51 and 44 = | [1] | common_factors | -| 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = -7/3x - 5 and y = -1/2x - 8 | (18/11, -97/11) | intersection_of_two_lines | -| 42 | Permutations | Number of Permutations from 14 objects picked 3 at a time = | 2184 | permutation | -| 43 | Cross Product of 2 Vectors | [-12, 13, 1] X [-19, 11, 14] = | [171, 149, 115] | vector_cross | -| 44 | Compare Fractions | Which symbol represents the comparison between 3/8 and 6/9? | < | compare_fractions | -| 45 | Simple Interest | Simple interest for a principle amount of 8192 dollars, 2% rate of interest and for a time period of 2 years is = | 327.68 | simple_interest | -| 46 | Multiplication of two matrices | Multiply
25
-10-5
99
and
4-5
-10-3
|
-42-25
1065
-54-72
| matrix_multiplication | -| 47 | Cube Root | cuberoot of 694 upto 2 decimal places is: | 8.85 | cube_root | -| 48 | Power Rule Integration | 1x^3 + 9x^3 | (1/3)x^4 + (9/3)x^4 + c | power_rule_integration | -| 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 18 , 32, 236 = | 74 | fourth_angle_of_quadrilateral | -| 50 | Quadratic Equation | Zeros of the Quadratic Equation 75x^2+121x+43=0 | [-0.53, -1.08] | quadratic_equation | -| 51 | HCF (Highest Common Factor) | HCF of 19 and 10 = | 1 | 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 9 = | 4/36 | dice_sum_probability | -| 53 | Exponentiation | 2^10 = | 1024 | exponentiation | -| 54 | Confidence interval For sample S | The confidence interval for sample [235, 266, 205, 259, 244, 267, 261, 275, 248, 210, 287, 297, 212, 272, 228, 271, 249, 225, 280, 298, 237] with 90% confidence is | (263.3453075787769, 243.89278765931834) | confidence_interval | -| 55 | Comparing surds | Fill in the blanks 29^(1/8) _ 89^(1/9) | < | surds_comparison | -| 56 | Fibonacci Series | The Fibonacci Series of the first 6 numbers is ? | [0, 1, 1, 2, 3, 5] | fibonacci_series | -| 57 | Trigonometric Values | What is tan(60)? | √3 | basic_trigonometry | +| 36 | Volume of Cuboid | Volume of cuboid with sides = 10m, 9m, 9m is | 810 m^3 | volume_cuboid | +| 37 | Volume of cylinder | Volume of cylinder with height = 20m and radius = 4m is | 1005 m^3 | volume_cylinder | +| 38 | Surface Area of cone | Surface area of cone with height = 10m and radius = 4m is | 185 m^2 | surface_area_cone | +| 39 | Volume of cone | Volume of cone with height = 34m and radius = 1m is | 35 m^3 | volume_cone | +| 40 | Common Factors | Common Factors of 57 and 77 = | [1] | common_factors | +| 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = -10/6x - 4 and y = -4/2x + 10 | (42, -74) | intersection_of_two_lines | +| 42 | Permutations | Number of Permutations from 20 objects picked 9 at a time = | 60949324800 | permutation | +| 43 | Cross Product of 2 Vectors | [4, -19, -17] X [-15, -1, -7] = | [116, 283, -289] | vector_cross | +| 44 | Compare Fractions | Which symbol represents the comparison between 2/7 and 5/2? | < | compare_fractions | +| 45 | Simple Interest | Simple interest for a principle amount of 3557 dollars, 3% rate of interest and for a time period of 5 years is = | 533.55 | simple_interest | +| 46 | Multiplication of two matrices | Multiply
4700
35-35
-9-8-94
10-45-7
and
1051
-4-1-3
334
-1098
|
1213-17
-494616
-125-2811
2016-14
| matrix_multiplication | +| 47 | Cube Root | cuberoot of 493 upto 2 decimal places is: | 7.9 | cube_root | +| 48 | Power Rule Integration | 4x^1 + 3x^8 + 10x^2 + 2x^2 + 10x^2 | (4/1)x^2 + (3/8)x^9 + (10/2)x^3 + (2/2)x^3 + (10/2)x^3 + c | power_rule_integration | +| 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 50 , 99, 150 = | 61 | fourth_angle_of_quadrilateral | +| 50 | Quadratic Equation | Zeros of the Quadratic Equation 48x^2+108x+4=0 | [-0.04, -2.21] | quadratic_equation | +| 51 | HCF (Highest Common Factor) | HCF of 10 and 9 = | 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 5 = | 1/6 | dice_sum_probability | +| 53 | Exponentiation | 8^3 = | 512 | exponentiation | +| 54 | Confidence interval For sample S | The confidence interval for sample [280, 285, 226, 201, 281, 267, 200, 219, 239, 208, 235, 291, 262, 223, 248, 292, 269, 263, 206, 256, 252, 222, 221, 237] with 80% confidence is | (252.67446369260804, 237.57553630739196) | confidence_interval | +| 55 | Comparing surds | Fill in the blanks 35^(1/8) _ 23^(1/1) | < | surds_comparison | +| 56 | Fibonacci Series | The Fibonacci Series of the first 4 numbers is ? | [0, 1, 1, 2] | fibonacci_series | +| 57 | Trigonometric Values | What is sin(0)? | 0 | basic_trigonometry | | 58 | Sum of Angles of Polygon | Sum of angles of polygon with 3 sides = | 180 | sum_of_polygon_angles | -| 59 | Mean,Standard Deviation,Variance | Find the mean,standard deviation and variance for the data[27, 39, 33, 10, 44, 14, 37, 17, 40, 35, 19, 11, 17, 6, 13] | The Mean is 24.133333333333333 , Standard Deviation is 152.91555555555553, Variance is 12.365902941376968 | data_summary | -| 60 | Surface Area of Sphere | Surface area of Sphere with radius = 11m is | 1520.5308443374597 m^2 | surface_area_sphere | -| 61 | Volume of Sphere | Volume of sphere with radius 66 m = | 1204260.4287152681 m^3 | volume_sphere | -| 62 | nth Fibonacci number | What is the 69th Fibonacci number? | 117669030460994 | nth_fibonacci_number | -| 63 | Profit or Loss Percent | Profit percent when CP = 652 and SP = 967 is: | 48.31288343558282 | profit_loss_percent | -| 64 | Binary to Hexidecimal | 011011000 | 0xd8 | binary_to_hex | -| 65 | Multiplication of 2 complex numbers | (17+16j) * (-3-3j) = | (-3-99j) | multiply_complex_numbers | -| 66 | Geometric Progression | For the given GP [10, 70, 490, 3430, 24010, 168070] ,Find the value of a,common ratio,9th term value, sum upto 9th term | The value of a is 10, common ratio is 7 , 9th term is 57648010 , sum upto 9th term is 67256010.0 | geometric_progression | -| 67 | Geometric Mean of N Numbers | Geometric mean of 3 numbers 58 , 73 and 52 = | (58*73*52)^(1/3) = 60.383469885511204 | geometric_mean | -| 68 | Harmonic Mean of N Numbers | Harmonic mean of 2 numbers 91 and 18 = | 2/((1/91) + (1/18)) = 30.055045871559635 | harmonic_mean | -| 69 | Euclidian norm or L2 norm of a vector | Euclidian norm or L2 norm of the vector[974.3536143874146, 686.168356481633, 586.22520680975] is: | 1328.1008893926917 | euclidian_norm | -| 70 | Angle between 2 vectors | angle between the vectors [700.08, 521.5, 513.19, 926.02, 781.96, 37.1, 485.31, 966.82, 811.5, 183.45, 703.93, 628.34, 756.44, 387.15, 771.41, 169.39, 48.66, 615.09] and [768.58, 809.43, 824.23, 109.11, 557.91, 3.33, 483.09, 188.14, 557.91, 655.56, 760.95, 864.19, 470.75, 149.17, 541.68, 615.69, 53.59, 859.28] is: | 0.6 radians | angle_btw_vectors | -| 71 | Absolute difference between two numbers | Absolute difference between numbers 15 and -2 = | 17 | absolute_difference | -| 72 | Dot Product of 2 Vectors | [17, -6, 10] . [-15, 17, -2] = | -377 | vector_dot | -| 73 | Binary 2's Complement | 2's complement of 1001 = | 111 | binary_2s_complement | -| 74 | Inverse of a Matrix | Inverse of Matrix Matrix([[70, 89, 73], [36, 43, 66], [96, 99, 13]]) is: | Matrix([[-1195/12566, 607/6283, 547/12566], [2934/31415, -3049/31415, -996/31415], [-282/31415, 807/31415, -97/31415]]) | invert_matrix | -| 75 | Area of a Sector | Given radius, 32 and angle, 157. Find the area of the sector. | Area of sector = 1402.96547 | sector_area | -| 76 | Mean and Median | Given the series of numbers [81, 67, 6, 16, 98, 69, 28, 60, 56, 20]. find the arithmatic mean and mdian of the series | Arithmetic mean of the series is 50.1 and Arithmetic median of this series is 58.0 | mean_median | -| 77 | Determinant to 2x2 Matrix | Det([[88, 11], [75, 32]]) = | 1991 | int_matrix_22_determinant | -| 78 | Compound Interest | Compound interest for a principle amount of 7240 dollars, 10% rate of interest and for a time period of 7 year is = | 14108.71 | compound_interest | -| 79 | Decimal to Hexadecimal | Binary of 181= | 0xb5 | decimal_to_hexadeci | -| 80 | Percentage of a number | What is 93% of 67? | Required percentage = 62.31% | percentage | -| 81 | Celsius To Fahrenheit | Convert -9 degrees Celsius to degrees Fahrenheit = | 15.8 | celsius_to_fahrenheit | -| 82 | AP Term Calculation | Find the term number 93 of the AP series: 16, -72, -160 ... | -8080 | arithmetic_progression_term | -| 83 | AP Sum Calculation | Find the sum of first 40 terms of the AP series: 79, 111, 143 ... | 28120.0 | arithmetic_progression_sum | -| 84 | Converts decimal to octal | The decimal number 453 in Octal is: | 0o705 | decimal_to_octal | -| 85 | Converts decimal to Roman Numerals | The number 492 in Roman Numerals is: | CDXCII | decimal_to_roman_numerals | -| 86 | Degrees to Radians | Angle 146 in radians is = | 2.55 | degree_to_rad | +| 59 | Mean,Standard Deviation,Variance | Find the mean,standard deviation and variance for the data[48, 43, 34, 18, 44, 36, 13, 40, 35, 35, 38, 11, 10, 11, 24] | The Mean is 29.333333333333332 , Standard Deviation is 169.28888888888886, Variance is 13.011106366827107 | data_summary | +| 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 83 m = | 2395095.784824196 m^3 | volume_sphere | +| 62 | nth Fibonacci number | What is the 35th Fibonacci number? | 9227465 | nth_fibonacci_number | +| 63 | Profit or Loss Percent | Profit percent when CP = 27 and SP = 823 is: | 2948.1481481481483 | profit_loss_percent | +| 64 | Binary to Hexidecimal | 11000111 | 0xc7 | binary_to_hex | +| 65 | Multiplication of 2 complex numbers | (1-18j) * (-8+0j) = | (-8+144j) | multiply_complex_numbers | +| 66 | Geometric Progression | For the given GP [9, 99, 1089, 11979, 131769, 1449459] ,Find the value of a,common ratio,10th term value, sum upto 7th term | The value of a is 9, common ratio is 11 , 10th term is 21221529219 , sum upto 7th term is 17538453.0 | geometric_progression | +| 67 | Geometric Mean of N Numbers | Geometric mean of 3 numbers 31 , 76 and 15 = | (31*76*15)^(1/3) = 32.816242203578014 | geometric_mean | +| 68 | Harmonic Mean of N Numbers | Harmonic mean of 4 numbers 92 , 58 , 23 , 83 = | 4/((1/92) + (1/58) + (1/23) + (1/83)) = 47.825495383618595 | harmonic_mean | +| 69 | Euclidian norm or L2 norm of a vector | Euclidian norm or L2 norm of the vector[36.38067725666217, 442.61220631149655, 502.3274860206511, 192.63540485685093, 984.9063401399998, 160.78033823501792, 236.70055274694923, 723.3837994746971, 54.940314755713146, 712.042190068723] is: | 1603.712888554928 | euclidian_norm | +| 70 | Angle between 2 vectors | angle between the vectors [651.44, 836.06, 559.59, 874.73, 707.25, 374.4, 229.28, 274.43, 158.51, 86.58, 600.24, 829.38, 64.41, 726.78, 215.5, 518.68, 659.02, 711.32, 726.21] and [231.22, 461.9, 619.6, 776.56, 266.04, 392.15, 830.34, 47.13, 373.1, 113.63, 30.84, 917.3, 532.78, 187.05, 172.89, 836.61, 882.82, 128.56, 285.96] is: | 0.67 radians | angle_btw_vectors | +| 71 | Absolute difference between two numbers | Absolute difference between numbers -25 and -49 = | 24 | absolute_difference | +| 72 | Dot Product of 2 Vectors | [7, 5, -15] . [8, -8, 16] = | -224 | vector_dot | +| 73 | Binary 2's Complement | 2's complement of 10011101 = | 1100011 | binary_2s_complement | +| 74 | Inverse of a Matrix | Inverse of Matrix Matrix([[13, 16, 78], [21, 84, 31], [85, 6, 43]]) is: | Matrix([[-1713/237421, 110/237421, 3028/237421], [-866/237421, 6071/474842, -1235/474842], [3507/237421, -641/237421, -378/237421]]) | invert_matrix | +| 75 | Area of a Sector | Given radius, 22 and angle, 287. Find the area of the sector. | Area of sector = 1212.20098 | sector_area | +| 76 | Mean and Median | Given the series of numbers [33, 62, 91, 64, 77, 75, 82, 19, 26, 50]. find the arithmatic mean and mdian of the series | Arithmetic mean of the series is 57.9 and Arithmetic median of this series is 63.0 | mean_median | +| 77 | Determinant to 2x2 Matrix | Det([[34, 100], [81, 93]]) = | -4938 | int_matrix_22_determinant | +| 78 | Compound Interest | Compound interest for a principle amount of 1090 dollars, 5% rate of interest and for a time period of 5 year is = | 1391.15 | compound_interest | +| 79 | Decimal to Hexadecimal | Binary of 153= | 0x99 | decimal_to_hexadeci | +| 80 | Percentage of a number | What is 68% of 77? | Required percentage = 52.36% | percentage | +| 81 | Celsius To Fahrenheit | Convert 21 degrees Celsius to degrees Fahrenheit = | 69.80000000000001 | celsius_to_fahrenheit | +| 82 | AP Term Calculation | Find the term number 68 of the AP series: -11, -79, -147 ... | -4567 | arithmetic_progression_term | +| 83 | AP Sum Calculation | Find the sum of first 17 terms of the AP series: -91, -183, -275 ... | -14059.0 | arithmetic_progression_sum | +| 84 | Converts decimal to octal | The decimal number 2197 in Octal is: | 0o4225 | decimal_to_octal | +| 85 | Converts decimal to Roman Numerals | The number 3620 in Roman Numerals is: | MMMDCXX | decimal_to_roman_numerals | +| 86 | Degrees to Radians | Angle 355 in radians is = | 6.2 | degree_to_rad | | 87 | Radians to Degrees | Angle 3 in degrees is = | 171.89 | radian_to_deg | -| 88 | Differentiation | differentiate w.r.t x : d(ln(x)+6*x^(-2))/dx | 1/x - 12/x^3 | differentiation | -| 89 | Definite Integral of Quadratic Equation | The definite integral within limits 0 to 1 of the equation 97x^2 + 21x + 68 is = | 110.8333 | definite_integral | -| 90 | isprime | 100 | False | is_prime | -| 91 | Binary Coded Decimal to Integer | Integer of Binary Coded Decimal 4 is = | 18071 | bcd_to_decimal | -| 92 | Complex To Polar Form | rexp(itheta) = | 20.25exp(i-1.22) | complex_to_polar | -| 93 | Union,Intersection,Difference of Two Sets | Given the two sets a={1, 3, 4, 6, 7, 8} ,b={8, 1, 3, 5}.Find the Union,intersection,a-b,b-a and symmetric difference | Union is {1, 3, 4, 5, 6, 7, 8},Intersection is {8, 1, 3}, a-b is {4, 6, 7},b-a is {5}, Symmetric difference is {4, 5, 6, 7} | set_operation | -| 94 | Base Conversion | Convert 33792 from base 10 to base 8. | 102000 | base_conversion | -| 95 | Curved surface area of a cylinder | What is the curved surface area of a cylinder of radius, 12 and height, 87? | CSA of cylinder = 6559.65 | curved_surface_area_cylinder | -| 96 | Perimeter of Polygons | The perimeter of a 11 sided polygon with lengths of [82, 107, 53, 3, 14, 47, 106, 22, 90, 87, 22]cm is: | 633 | perimeter_of_polygons | -| 97 | Power of Powers | The 37^1^5 = 37^(1*5) = 37^5 | 69343957 | power_of_powers | -| 98 | Quotient of Powers with Same Base | The Quotient of 46^3 and 46^7 = 46^(3-7) = 46^-4 | 2.2334111155977858e-07 | quotient_of_power_same_base | -| 99 | Quotient of Powers with Same Power | The Quotient of 40^3 and 20^3 = (40/20)^3 = 2.0^3 | 8.0 | quotient_of_power_same_power | -| 100 | complex Quadratic Equation | Find the roots of given Quadratic Equation 2x^2 + 6x + 1 = 0 | simplified solution : ((-0.177, -2.823)), generalized solution : ((-6 + sqrt(28))/2*2, (-6 - sqrt(28))/2*2) | complex_quadratic | -| 101 | Leap Year or Not | Year 1929 | is not a leap year | is_leap_year | -| 102 | Minute to Hour conversion | Convert 793 minutes to Hours & Minutes | 13 hours and 13 minutes | minutes_to_hours | -| 103 | Decimal to Binary Coded Decimal | BCD of Decimal Number 9170 is = | 23132 | decimal_to_bcd | -| 104 | Circumference | Circumference of circle with radius 10 | 62.83185307179586 | circumference | -| 105 | Combine Like terms | 6x^1 + 3x^2 + 6x^2 | 6x^1 + 9x^2 | combine_like_terms | -| 106 | signum function | signum of 281 is = | 1 | signum_function | -| 107 | Conditional Probability | Someone tested positive for a nasty disease which only 1.44% of population have. Test sensitivity (true positive) is equal to SN= 93.49% whereas test specificity (true negative) SP= 94.85%. What is the probability that this guy really has that disease? | 20.96% | conditional_probability | -| 108 | Arc length of Angle | Given radius, 42 and angle, 114. Find the arc length of the angle. | Arc length of the angle = 83.56636 | arc_length | -| 109 | Binomial distribution | A manufacturer of metal pistons finds that, on average, 40.72% of the pistons they manufacture are rejected because they are incorrectly sized. What is the probability that a batch of 13 pistons will contain no more than 7 rejected pistons? | 89.26 | binomial_distribution | +| 88 | Differentiation | differentiate w.r.t x : d(cot(x)+9*x^4)/dx | 36*x^3 - cot(x)^2 - 1 | differentiation | +| 89 | Definite Integral of Quadratic Equation | The definite integral within limits 0 to 1 of the equation 24x^2 + 41x + 61 is = | 89.5 | definite_integral | +| 90 | isprime | 84 | False | is_prime | +| 91 | Binary Coded Decimal to Integer | Integer of Binary Coded Decimal 4 is = | 18064 | bcd_to_decimal | +| 92 | Complex To Polar Form | rexp(itheta) = | 18.97exp(i-1.25) | complex_to_polar | +| 93 | Union,Intersection,Difference of Two Sets | Given the two sets a={1, 5, 6, 7} ,b={8, 3, 6, 7}.Find the Union,intersection,a-b,b-a and symmetric difference | Union is {1, 3, 5, 6, 7, 8},Intersection is {6, 7}, a-b is {1, 5},b-a is {8, 3}, Symmetric difference is {1, 3, 5, 8} | set_operation | +| 94 | Base Conversion | Convert 1101101111100 from base 2 to base 10. | 7036 | base_conversion | +| 95 | Curved surface area of a cylinder | What is the curved surface area of a cylinder of radius, 39 and height, 61? | CSA of cylinder = 14947.7 | curved_surface_area_cylinder | +| 96 | Perimeter of Polygons | The perimeter of a 10 sided polygon with lengths of [110, 4, 55, 93, 68, 82, 30, 35, 45, 72]cm is: | 594 | perimeter_of_polygons | +| 97 | Power of Powers | The 15^2^4 = 15^(2*4) = 15^8 | 2562890625 | power_of_powers | +| 98 | Quotient of Powers with Same Base | The Quotient of 2^3 and 2^5 = 2^(3-5) = 2^-2 | 0.25 | quotient_of_power_same_base | +| 99 | Quotient of Powers with Same Power | The Quotient of 30^1 and 31^1 = (30/31)^1 = 0.967741935483871^1 | 0.967741935483871 | quotient_of_power_same_power | +| 100 | complex Quadratic Equation | Find the roots of given Quadratic Equation 2x^2 + 9x + 3 = 0 | simplified solution : ((-0.363, -4.137)), generalized solution : ((-9 + sqrt(57))/2*2, (-9 - sqrt(57))/2*2) | complex_quadratic | +| 101 | Leap Year or Not | Year 1924 | is a leap year | is_leap_year | +| 102 | Minute to Hour conversion | Convert 292 minutes to Hours & Minutes | 4 hours and 52 minutes | minutes_to_hours | +| 103 | Decimal to Binary Coded Decimal | BCD of Decimal Number 2596 is = | 1024 | decimal_to_bcd | +| 104 | Circumference | Circumference of circle with radius 17 | 106.81415022205297 | circumference | +| 105 | Combine Like terms | 9x^2 | 9x^2 | combine_like_terms | +| 106 | signum function | signum of -885 is = | -1 | signum_function | +| 107 | Conditional Probability | Someone tested positive for a nasty disease which only 1.53% of population have. Test sensitivity (true positive) is equal to SN= 93.62% whereas test specificity (true negative) SP= 93.01%. What is the probability that this guy really has that disease? | 17.23% | conditional_probability | +| 108 | Arc length of Angle | Given radius, 22 and angle, 345. Find the arc length of the angle. | Arc length of the angle = 132.47049 | arc_length | +| 109 | Binomial distribution | A manufacturer of metal pistons finds that, on average, 31.04% of the pistons they manufacture are rejected because they are incorrectly sized. What is the probability that a batch of 20 pistons will contain no more than 6 rejected pistons? | 56.79 | binomial_distribution | +| 110 | Stationary Points | f(x)=5*x^2 + 4 | (0,4) | stationary_points |