question_id int64 2 5k | category stringclasses 12
values | difficulty stringclasses 3
values | question stringlengths 10 89 | correct_answer stringclasses 370
values | option_a stringclasses 545
values | option_b stringclasses 544
values | option_c stringclasses 546
values | option_d stringclasses 550
values | explanation stringclasses 12
values |
|---|---|---|---|---|---|---|---|---|---|
3,004 | probability | easy | How many outcomes when rolling a six-sided die? | 6 | 6 | 7 | 8 | 5 | Probability calculation and expected value |
2,248 | calculus | medium | What is d/dx(3x^3 - 3x + 1)? | 9x^2 - 3 | 9x^2 - 3 | 9x^2 - 1 | 9x^3 - 3 | 3x^2 - 3 | Calculus differentiation and integration |
363 | arithmetic | hard | Calculate (3^4 × 4) ÷ 9 | 36 | 36 | 44 | 31 | 39 | Standard arithmetic calculation |
4,986 | combinatorics | hard | In how many ways can 5 books be arranged on a shelf if 2 specific books must be together? | 48 | 120 | 48 | 24 | 60 | Permutations and combinations |
2,222 | calculus | easy | Find d/dx(x^5) | 5x^4 | x^5 | x^4 | 5x^5 | 5x^4 | Calculus differentiation and integration |
379 | arithmetic | hard | Calculate (4^4 × 2) ÷ 9 | 56 | 64 | 56 | 51 | 59 | Standard arithmetic calculation |
3,684 | number_theory | hard | What is 7³ mod 11? | 2 | 3 | 2 | 1 | 4 | Number theory and modular arithmetic |
3,559 | number_theory | medium | Find LCM of 15 and 20 | 60 | 75 | 60 | 65 | 50 | Number theory and modular arithmetic |
339 | arithmetic | hard | Calculate (6^4 × 3) ÷ 3 | 1296 | 1304 | 1299 | 1291 | 1296 | Standard arithmetic calculation |
2,415 | calculus | hard | Find the derivative of sin(x²) | 2x cos(x²) | 2x sin(x²) | cos(x²) | 2x cos(x²) | cos(2x) | Calculus differentiation and integration |
932 | geometry | easy | What is the area of a rectangle with length 9 and width 8? | 72 | 80 | 75 | 72 | 67 | Geometric calculation and spatial reasoning |
3,331 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 4.5 | 4 | 3 | 3.5 | Probability calculation and expected value |
4,954 | combinatorics | hard | In how many ways can 5 books be arranged on a shelf if 2 specific books must be together? | 48 | 120 | 60 | 48 | 24 | Permutations and combinations |
2,554 | trigonometry | easy | What is tan(45°)? | 1 | √3 | 1 | 0 | √2 | Trigonometric functions and identities |
3,771 | logic | easy | True or False: 5 > 3 AND 2 < 4 | True | Depends on context | True | Cannot determine | False | Logical reasoning and boolean operations |
4,840 | combinatorics | medium | How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition? | 60 | 60 | 125 | 50 | 75 | Permutations and combinations |
3,548 | number_theory | medium | How many factors does 30 have? | 8 | 6 | 8 | 7 | 9 | Number theory and modular arithmetic |
4,908 | combinatorics | hard | In how many ways can 5 books be arranged on a shelf if 2 specific books must be together? | 48 | 120 | 60 | 24 | 48 | Permutations and combinations |
2,139 | calculus | easy | Find ∫x dx | x²/2 + C | x² | x²/2 + C | x³/3 + C | x + C | Calculus differentiation and integration |
3,156 | probability | medium | Probability of drawing an ace from a standard deck | 1/13 | 1/13 | 1/14 | 1/15 | 1/12 | Probability calculation and expected value |
1,671 | fractions | easy | Simplify 9/15 | 3/5 | 10/16 | 3/5 | 4/7 | 8/14 | Fraction arithmetic and simplification |
645 | algebra | medium | Find x: x² = 36 | 6 | 7 | 4 | 9 | 6 | Algebraic manipulation and solving |
3,538 | number_theory | medium | Find LCM of 9 and 15 | 45 | 45 | 50 | 60 | 35 | Number theory and modular arithmetic |
4,691 | combinatorics | easy | How many ways to choose 2 items from 4 items? | 6 | 4 | 5 | 8 | 6 | Permutations and combinations |
747 | algebra | hard | Solve: x² + -12x + 32 = 0 | x = 8 or x = 4 | x = 7 or x = 5 | x = 8 or x = 4 | x = -8 or x = -4 | x = 9 or x = 3 | Algebraic manipulation and solving |
459 | algebra | easy | Solve for x: x + 9 = 18 | 9 | 7 | 9 | 12 | 10 | Algebraic manipulation and solving |
852 | geometry | easy | What is the area of a rectangle with length 8 and width 7? | 56 | 56 | 59 | 51 | 64 | Geometric calculation and spatial reasoning |
4,803 | combinatorics | medium | How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition? | 60 | 50 | 60 | 125 | 75 | Permutations and combinations |
962 | geometry | easy | How many sides does a pentagon have? | 5 | 5 | 4 | 6 | 7 | Geometric calculation and spatial reasoning |
863 | geometry | easy | How many sides does a octagon have? | 8 | 7 | 8 | 10 | 9 | Geometric calculation and spatial reasoning |
4,299 | linear_algebra | easy | Add vectors [2, 3] + [1, 4] | [3, 7] | [4, 7] | [2, 7] | [3, 6] | [3, 7] | Vector operations and matrix calculations |
2,817 | trigonometry | hard | Solve sin(x) = 1/2 for 0° ≤ x ≤ 360° | x = 30° or 150° | x = 30° or 60° | x = 30° or 150° | x = 60° or 120° | x = 45° or 135° | Trigonometric functions and identities |
4,558 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 6 | 5 | 3 | 4 | Vector operations and matrix calculations |
4,923 | combinatorics | hard | In how many ways can 5 books be arranged on a shelf if 2 specific books must be together? | 48 | 24 | 120 | 48 | 60 | Permutations and combinations |
4,738 | combinatorics | medium | How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition? | 60 | 75 | 50 | 60 | 125 | Permutations and combinations |
632 | algebra | medium | Solve: 3x - 10 = 10 | 6 | 9 | 4 | 7 | 6 | Algebraic manipulation and solving |
2,733 | trigonometry | medium | Calculate sin²(x) + cos²(x) | 1 | 1 | sin(2x) | 0 | 2 | Trigonometric functions and identities |
3,400 | number_theory | easy | Is 13 a prime number? | Yes | Only if x>0 | Yes | No | Cannot determine | Number theory and modular arithmetic |
2,873 | trigonometry | hard | Solve sin(x) = 1/2 for 0° ≤ x ≤ 360° | x = 30° or 150° | x = 30° or 60° | x = 30° or 150° | x = 60° or 120° | x = 45° or 135° | Trigonometric functions and identities |
1,792 | fractions | easy | What is 1/2 + 1/4? | 3/4 | 2/4 | 3/4 | 4/4 | 3/5 | Fraction arithmetic and simplification |
4,573 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 6 | 4 | 5 | 3 | Vector operations and matrix calculations |
886 | geometry | easy | How many sides does a pentagon have? | 5 | 4 | 7 | 6 | 5 | Geometric calculation and spatial reasoning |
3,531 | number_theory | medium | How many factors does 24 have? | 8 | 7 | 6 | 8 | 9 | Number theory and modular arithmetic |
802 | algebra | hard | Solve: x² + -6x + 8 = 0 | x = 4 or x = 2 | x = 3 or x = 3 | x = 4 or x = 2 | x = -4 or x = -2 | x = 5 or x = 1 | Algebraic manipulation and solving |
790 | algebra | hard | Solve: x² + -10x + 16 = 0 | x = 8 or x = 2 | x = 7 or x = 3 | x = 8 or x = 2 | x = -8 or x = -2 | x = 9 or x = 1 | Algebraic manipulation and solving |
2,830 | trigonometry | hard | Solve sin(x) = 1/2 for 0° ≤ x ≤ 360° | x = 30° or 150° | x = 30° or 60° | x = 30° or 150° | x = 60° or 120° | x = 45° or 135° | Trigonometric functions and identities |
3,564 | number_theory | medium | How many factors does 30 have? | 8 | 8 | 7 | 6 | 9 | Number theory and modular arithmetic |
494 | algebra | easy | What is 3x when x = 8? | 24 | 26 | 21 | 29 | 24 | Algebraic manipulation and solving |
2,719 | trigonometry | medium | Calculate sin²(x) + cos²(x) | 1 | 1 | sin(2x) | 0 | 2 | Trigonometric functions and identities |
2,889 | trigonometry | hard | Solve sin(x) = 1/2 for 0° ≤ x ≤ 360° | x = 30° or 150° | x = 30° or 60° | x = 30° or 150° | x = 60° or 120° | x = 45° or 135° | Trigonometric functions and identities |
4,043 | logic | hard | Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True | True | Cannot determine | False | True | Depends on other variables | Logical reasoning and boolean operations |
2,474 | calculus | hard | Find the derivative of sin(x²) | 2x cos(x²) | 2x sin(x²) | 2x cos(x²) | cos(x²) | cos(2x) | Calculus differentiation and integration |
1,621 | statistics | hard | Find the standard deviation of 2 4 6 8 (population) | 2.24 | 2.94 | 2.54 | 2.24 | 1.74 | Statistical measure calculation |
3,925 | logic | medium | What is NOT(True AND False)? | True | False | True | Cannot determine | Depends on values | Logical reasoning and boolean operations |
862 | geometry | easy | How many sides does a octagon have? | 8 | 8 | 9 | 10 | 7 | Geometric calculation and spatial reasoning |
512 | algebra | easy | Solve for x: x + 7 = 15 | 8 | 6 | 9 | 11 | 8 | Algebraic manipulation and solving |
2,718 | trigonometry | medium | Calculate sin²(x) + cos²(x) | 1 | sin(2x) | 2 | 1 | 0 | Trigonometric functions and identities |
1,251 | geometry | hard | Find the hypotenuse of a right triangle with legs 7 and 24 | 25 | 26 | 24 | 25 | 23 | Geometric calculation and spatial reasoning |
2,140 | calculus | easy | Evaluate ∫x^4 dx | x^5/5 + C | x^5/5 + C | x^6/6 + C | x^4 + C | 4x^3 + C | Calculus differentiation and integration |
168 | arithmetic | medium | Calculate 180 ÷ 12 | 15 | 13 | 15 | 16 | 18 | Standard arithmetic calculation |
3,239 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 4.5 | 4 | 3 | 3.5 | Probability calculation and expected value |
1,868 | fractions | medium | Calculate 2/3 × 4/7 | 8/21 | 21/8 | 8/21 | 9/21 | 8/22 | Fraction arithmetic and simplification |
266 | arithmetic | medium | What is 8²? | 64 | 79 | 72 | 54 | 64 | Standard arithmetic calculation |
4,154 | logic | hard | Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True | True | Depends on other variables | False | Cannot determine | True | Logical reasoning and boolean operations |
2,824 | trigonometry | hard | Solve sin(x) = 1/2 for 0° ≤ x ≤ 360° | x = 30° or 150° | x = 30° or 60° | x = 30° or 150° | x = 60° or 120° | x = 45° or 135° | Trigonometric functions and identities |
2,095 | calculus | easy | Evaluate ∫x^4 dx | x^5/5 + C | x^5/5 + C | 4x^3 + C | x^4 + C | x^6/6 + C | Calculus differentiation and integration |
4,104 | logic | hard | Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True | True | False | True | Depends on other variables | Cannot determine | Logical reasoning and boolean operations |
2,793 | trigonometry | hard | Solve sin(x) = 1/2 for 0° ≤ x ≤ 360° | x = 30° or 150° | x = 30° or 60° | x = 30° or 150° | x = 60° or 120° | x = 45° or 135° | Trigonometric functions and identities |
2,388 | calculus | hard | Find the derivative of sin(x²) | 2x cos(x²) | 2x sin(x²) | 2x cos(x²) | cos(x²) | cos(2x) | Calculus differentiation and integration |
3,503 | number_theory | medium | How many factors does 30 have? | 8 | 7 | 9 | 8 | 6 | Number theory and modular arithmetic |
2,342 | calculus | medium | What is d/dx(5x^3 - 5x + 1)? | 15x^2 - 5 | 5x^2 - 5 | 15x^2 - 1 | 15x^3 - 5 | 15x^2 - 5 | Calculus differentiation and integration |
1,624 | statistics | hard | Find the standard deviation of 2 4 6 8 (population) | 2.24 | 1.74 | 2.54 | 2.24 | 2.94 | Statistical measure calculation |
3,710 | number_theory | hard | What is 7³ mod 11? | 2 | 2 | 3 | 4 | 1 | Number theory and modular arithmetic |
52 | arithmetic | easy | Calculate 89 - 56 | 33 | 33 | 32 | 34 | 35 | Standard arithmetic calculation |
3,902 | logic | medium | If P implies Q and P is true, what can we conclude about Q? | Q is true | Cannot determine | Q is true | P is false | Q is false | Logical reasoning and boolean operations |
567 | algebra | medium | Find x: x² = 25 | 5 | 6 | 8 | 3 | 5 | Algebraic manipulation and solving |
4,407 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 10 | 8 | 11 | 9 | Vector operations and matrix calculations |
1,633 | statistics | hard | Find the standard deviation of 2 4 6 8 (population) | 2.24 | 2.94 | 2.24 | 2.54 | 1.74 | Statistical measure calculation |
3,760 | logic | easy | True or False: 5 > 3 AND 2 < 4 | True | False | True | Depends on context | Cannot determine | Logical reasoning and boolean operations |
706 | algebra | hard | Solve: x² + -11x + 28 = 0 | x = 7 or x = 4 | x = 6 or x = 5 | x = 7 or x = 4 | x = -7 or x = -4 | x = 8 or x = 3 | Algebraic manipulation and solving |
4,848 | combinatorics | medium | How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition? | 60 | 125 | 60 | 50 | 75 | Permutations and combinations |
1,614 | statistics | hard | Find the standard deviation of 2 4 6 8 (population) | 2.24 | 2.24 | 2.54 | 1.74 | 2.94 | Statistical measure calculation |
294 | arithmetic | hard | Calculate (6^3 × 2) ÷ 4 | 108 | 103 | 116 | 111 | 108 | Standard arithmetic calculation |
2,237 | calculus | medium | What is d/dx(4x^4 - 3x + 1)? | 16x^3 - 3 | 4x^3 - 3 | 16x^4 - 3 | 16x^3 - 3 | 16x^3 - 1 | Calculus differentiation and integration |
4,447 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 3 | 6 | 5 | 4 | Vector operations and matrix calculations |
3,589 | number_theory | medium | Find LCM of 9 and 15 | 45 | 60 | 50 | 35 | 45 | Number theory and modular arithmetic |
3,271 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 4.5 | 3 | 3.5 | 4 | Probability calculation and expected value |
2,355 | calculus | medium | What is d/dx(5x^2 - 2x + 1)? | 10x^1 - 2 | 10x^1 - 2 | 10x^1 - 1 | 5x^1 - 2 | 10x^2 - 2 | Calculus differentiation and integration |
1,561 | statistics | hard | Find the standard deviation of 2 4 6 8 (population) | 2.24 | 2.24 | 2.54 | 2.94 | 1.74 | Statistical measure calculation |
2,257 | calculus | medium | What is d/dx(3x^3 - 8x + 1)? | 9x^2 - 8 | 9x^3 - 8 | 9x^2 - 8 | 9x^2 - 1 | 3x^2 - 8 | Calculus differentiation and integration |
1,173 | geometry | hard | Find the hypotenuse of a right triangle with legs 8 and 15 | 17 | 17 | 16 | 18 | 15 | Geometric calculation and spatial reasoning |
2,455 | calculus | hard | Find the derivative of sin(x²) | 2x cos(x²) | 2x sin(x²) | cos(x²) | 2x cos(x²) | cos(2x) | Calculus differentiation and integration |
3,522 | number_theory | medium | Find LCM of 9 and 15 | 45 | 50 | 60 | 35 | 45 | Number theory and modular arithmetic |
2,323 | calculus | medium | What is d/dx(5x^4 - 2x + 1)? | 20x^3 - 2 | 20x^3 - 2 | 5x^3 - 2 | 20x^3 - 1 | 20x^4 - 2 | Calculus differentiation and integration |
72 | arithmetic | easy | What is 43 + 61? | 104 | 107 | 104 | 105 | 102 | Standard arithmetic calculation |
3,340 | number_theory | easy | What is the GCD of 15 and 25? | 5 | 4 | 6 | 5 | 3 | Number theory and modular arithmetic |
1,626 | statistics | hard | Find the standard deviation of 2 4 6 8 (population) | 2.24 | 1.74 | 2.94 | 2.24 | 2.54 | Statistical measure calculation |
2,663 | trigonometry | medium | Calculate sin²(x) + cos²(x) | 1 | 0 | sin(2x) | 2 | 1 | Trigonometric functions and identities |
3,769 | logic | easy | If all cats are mammals and Fluffy is a cat, then Fluffy is a: | mammal | cat | mammal | pet | animal | Logical reasoning and boolean operations |
2,080 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 0/2 | 2/2 | 1/3 | 1/2 | Fraction arithmetic and simplification |
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