id int64 1 735k | topic stringclasses 11
values | difficulty stringclasses 2
values | question stringlengths 12 91 | answer stringlengths 1 11 | reasoning stringlengths 20 98 | category stringclasses 19
values |
|---|---|---|---|---|---|---|
12,601 | number_theory | medium | What is the LCM (least common multiple) of 41 and 61? | 2501 | LCM = |41*61| / GCD(41,61). GCD=1, so LCM=2501/1=2501. | lcm |
12,602 | calculus | medium | What is the derivative of 3x^3 with respect to x? | 9x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^3] = 3*3*x^2 = 9x^2. | derivative |
12,603 | arithmetic | easy | What is 64 * 86? | 5504 | Multiply: 64 * 86 = 5504. | basic_operations |
12,604 | arithmetic | easy | What is 804 + 350? | 1154 | Add the two numbers: 804 + 350 = 1154. | basic_operations |
12,605 | roots | easy | What is the square root of 441? | 21 | Find number that when squared gives 441. 21*21=441, so sqrt(441)=21. | square_roots |
12,606 | statistics | easy | What is the mean (average) of 67, 92, 81? | 80 | Mean = sum/count. Sum = 67+92+81=240. Count=3. Mean=240/3=80.0. | mean |
12,607 | exponents | easy | What is 3^2? | 9 | 3^2 means multiply 3 by itself 2 times: 3*3 = 9. | exponents |
12,608 | calculus | medium | What is the derivative of 1x^2 with respect to x? | 2x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^2] = 1*2*x^1 = 2x. | derivative |
12,609 | calculus | medium | What is the indefinite integral of x^4 dx? | x^5/5 + C | Power rule for integration: integral x^n dx = x^(n+1)/(n+1) + C. So integral x^4 = x^5/5 + C. | integral |
12,610 | arithmetic | easy | What is 24300 / 54? | 450 | Divide: 24300 ÷ 54 = 450 because 54*450=24300. | division |
12,611 | roots | easy | What is the square root of 169? | 13 | Find number that when squared gives 169. 13*13=169, so sqrt(169)=13. | square_roots |
12,612 | arithmetic | easy | What is 452 + 388? | 840 | Add the two numbers: 452 + 388 = 840. | basic_operations |
12,613 | algebra | medium | Solve for x: x^2 + 2x + 1 = 0 | x = -1 | Factor as (x - -1)^2 = 0, so root is -1 (double root). Sum of roots = -2, product = 1. | quadratic |
12,614 | number_theory | medium | What is the LCM (least common multiple) of 49 and 77? | 539 | LCM = |49*77| / GCD(49,77). GCD=7, so LCM=3773/7=539. | lcm |
12,615 | arithmetic | easy | What is 523 + 87 * 38? Remember order of operations. | 3829 | Order of operations (PEMDAS): first 87*38=3306, then 523+3306=3829. | basic_operations |
12,616 | calculus | medium | What is the derivative of 10x^8 with respect to x? | 80x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^8] = 10*8*x^7 = 80x^7. | derivative |
12,617 | word_problems | easy | If you have 47 dollars and you buy 30 more dollars, how many dollars do you have in total? | 77 | Add initial 47 plus bought 30: 47+30=77. | addition_word |
12,618 | number_theory | medium | What is the GCD (greatest common divisor) of 34 and 51? | 17 | Find greatest number dividing both 34 and 51. Divisors common, greatest is 17. | gcd |
12,619 | calculus | medium | What is the derivative of 4x^6 with respect to x? | 24x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^6] = 4*6*x^5 = 24x^5. | derivative |
12,620 | geometry | easy | Find the perimeter of a rectangle with length 54 and width 3. | 114 | Perimeter = 2*(length+width) = 2*(54+3) = 2*57 = 114. | rectangle_perim |
12,621 | number_theory | medium | What is the GCD (greatest common divisor) of 25 and 31? | 1 | Find greatest number dividing both 25 and 31. Divisors common, greatest is 1. | gcd |
12,622 | exponents | easy | What is 11^5? | 161051 | 11^5 means multiply 11 by itself 5 times: 11*11*11*11*11 = 161051. | exponents |
12,623 | calculus | medium | What is the derivative of 1x^5 with respect to x? | 5x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^5] = 1*5*x^4 = 5x^4. | derivative |
12,624 | arithmetic | easy | What is 16013 / 67? | 239 | Divide: 16013 ÷ 67 = 239 because 67*239=16013. | division |
12,625 | exponents | easy | What is 3^4? | 81 | 3^4 means multiply 3 by itself 4 times: 3*3*3*3 = 81. | exponents |
12,626 | arithmetic | easy | What is 430 - 198? | 232 | Subtract: 430 - 198 = 232. | basic_operations |
12,627 | geometry | easy | Find the area of a circle with radius 7. Use pi=3.14159, round to 2 decimals. | 153.94 | Area = pi*r^2 = 3.14159*7^2 = 3.14159*49 = 153.94. | circle_area |
12,628 | algebra | easy | Solve for x: 13x - 35 = 173 | 16 | Add 35 to both sides: 13x = 173+35=208. Then x = 208/13 = 16. | linear_equation |
12,629 | percentages | easy | What is 58% of 628? | 364.24 | Calculate 58/100 * 628 = 0.58*628 = 364.24. | percentages |
12,630 | arithmetic | easy | What is 96 + 78 * 21? Remember order of operations. | 1734 | Order of operations (PEMDAS): first 78*21=1638, then 96+1638=1734. | basic_operations |
12,631 | arithmetic | easy | What is 663 + 616 * 89? Remember order of operations. | 55487 | Order of operations (PEMDAS): first 616*89=54824, then 663+54824=55487. | basic_operations |
12,632 | arithmetic | easy | What is 703 + 168 * 11? Remember order of operations. | 2551 | Order of operations (PEMDAS): first 168*11=1848, then 703+1848=2551. | basic_operations |
12,633 | roots | easy | What is the square root of 484? | 22 | Find number that when squared gives 484. 22*22=484, so sqrt(484)=22. | square_roots |
12,634 | word_problems | easy | If you have 82 pencils and you buy 40 more pencils, how many pencils do you have in total? | 122 | Add initial 82 plus bought 40: 82+40=122. | addition_word |
12,635 | arithmetic | easy | What is 942 + 42? | 984 | Add the two numbers: 942 + 42 = 984. | basic_operations |
12,636 | calculus | medium | What is the derivative of 9x^8 with respect to x? | 72x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^8] = 9*8*x^7 = 72x^7. | derivative |
12,637 | statistics | easy | What is the mean (average) of 32, 8, 49? | 29.67 | Mean = sum/count. Sum = 32+8+49=89. Count=3. Mean=89/3=29.67. | mean |
12,638 | fractions | medium | What is 14/13 + 15/18? Give as simplified fraction. | 149/78 | Common denominator 13*18=234. 14/13=252/234, 15/18=195/234. Sum = 447/234 = 149/78 simplified. | fraction_operations |
12,639 | word_problems | easy | If you have 94 dollars and you buy 5 more dollars, how many dollars do you have in total? | 99 | Add initial 94 plus bought 5: 94+5=99. | addition_word |
12,640 | arithmetic | easy | What is 1168 / 8? | 146 | Divide: 1168 ÷ 8 = 146 because 8*146=1168. | division |
12,641 | calculus | medium | What is the derivative of 8x^5 with respect to x? | 40x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^5] = 8*5*x^4 = 40x^4. | derivative |
12,642 | statistics | easy | What is the mean (average) of 63, 78, 47, 75? | 65.75 | Mean = sum/count. Sum = 63+78+47+75=263. Count=4. Mean=263/4=65.75. | mean |
12,643 | fractions | medium | What is 5/6 - 9/14? Give as simplified fraction. | 4/21 | Common denominator 84. Numerator 70-54=16. So 16/84 simplifies to 4/21. | fraction_operations |
12,644 | fractions | medium | What is 15/4 - 19/15? Give as simplified fraction. | 149/60 | Common denominator 60. Numerator 225-76=149. So 149/60 simplifies to 149/60. | fraction_operations |
12,645 | roots | easy | What is the square root of 484? | 22 | Find number that when squared gives 484. 22*22=484, so sqrt(484)=22. | square_roots |
12,646 | word_problems | easy | If you have 79 books and you buy 8 more books, how many books do you have in total? | 87 | Add initial 79 plus bought 8: 79+8=87. | addition_word |
12,647 | arithmetic | easy | What is 858 + 620 * 40? Remember order of operations. | 25658 | Order of operations (PEMDAS): first 620*40=24800, then 858+24800=25658. | basic_operations |
12,648 | arithmetic | easy | What is 80 + 89 * 69? Remember order of operations. | 6221 | Order of operations (PEMDAS): first 89*69=6141, then 80+6141=6221. | basic_operations |
12,649 | exponents | easy | What is 5^3? | 125 | 5^3 means multiply 5 by itself 3 times: 5*5*5 = 125. | exponents |
12,650 | calculus | medium | What is the derivative of 10x^8 with respect to x? | 80x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^8] = 10*8*x^7 = 80x^7. | derivative |
12,651 | word_problems | easy | If you have 56 dollars and you buy 37 more dollars, how many dollars do you have in total? | 93 | Add initial 56 plus bought 37: 56+37=93. | addition_word |
12,652 | arithmetic | easy | What is 11085 divided by 32? Give answer to 2 decimal places. | 346.41 | Calculate 11085/ 32 = 346.4062, rounded to 2 decimals is 346.41. | division |
12,653 | statistics | easy | What is the mean (average) of 99, 70, 67, 55? | 72.75 | Mean = sum/count. Sum = 99+70+67+55=291. Count=4. Mean=291/4=72.75. | mean |
12,654 | calculus | medium | What is the derivative of 1x^6 with respect to x? | 6x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^6] = 1*6*x^5 = 6x^5. | derivative |
12,655 | statistics | easy | What is the mean (average) of 55, 30, 73, 11, 39? | 41.6 | Mean = sum/count. Sum = 55+30+73+11+39=208. Count=5. Mean=208/5=41.6. | mean |
12,656 | arithmetic | easy | What is 25205 / 71? | 355 | Divide: 25205 ÷ 71 = 355 because 71*355=25205. | division |
12,657 | arithmetic | easy | What is 764 - 743? | 21 | Subtract: 764 - 743 = 21. | basic_operations |
12,658 | exponents | easy | What is 6^4? | 1296 | 6^4 means multiply 6 by itself 4 times: 6*6*6*6 = 1296. | exponents |
12,659 | word_problems | easy | If you have 40 candies and you buy 12 more candies, how many candies do you have in total? | 52 | Add initial 40 plus bought 12: 40+12=52. | addition_word |
12,660 | arithmetic | easy | What is 464 + 142 * 47? Remember order of operations. | 7138 | Order of operations (PEMDAS): first 142*47=6674, then 464+6674=7138. | basic_operations |
12,661 | algebra | easy | Solve for x: 16x + 21 = 117 | 6 | Subtract 21 from both sides: 16x = 117-21=96. Then divide by 16: x = 96/16 = 6. | linear_equation |
12,662 | arithmetic | easy | What is 617 - 63? | 554 | Subtract: 617 - 63 = 554. | basic_operations |
12,663 | algebra | medium | Solve for x: x^2 - 12x + 35 = 0 | x = 7, 5 | Factor: (x - 7)(x - 5) = x^2 -(12)x + 35 = 0. So x = 7 or 5. Check sum = 12, product = 35. | quadratic |
12,664 | geometry | easy | Find the area of a rectangle with length 59 and width 41. | 2419 | Area = length * width = 59*41 = 2419. | rectangle_area |
12,665 | arithmetic | easy | What is 16 * 33? | 528 | Multiply: 16 * 33 = 528. | basic_operations |
12,666 | arithmetic | easy | What is 245 + 460? | 705 | Add the two numbers: 245 + 460 = 705. | basic_operations |
12,667 | arithmetic | easy | What is 77 * 78? | 6006 | Multiply: 77 * 78 = 6006. | basic_operations |
12,668 | arithmetic | easy | What is 668 - 574? | 94 | Subtract: 668 - 574 = 94. | basic_operations |
12,669 | statistics | easy | What is the mean (average) of 1, 93, 61, 46? | 50.25 | Mean = sum/count. Sum = 1+93+61+46=201. Count=4. Mean=201/4=50.25. | mean |
12,670 | arithmetic | easy | What is 87 + 80 * 74? Remember order of operations. | 6007 | Order of operations (PEMDAS): first 80*74=5920, then 87+5920=6007. | basic_operations |
12,671 | algebra | medium | Solve for x: x^2 - 2x = 0 | x = 0, 2 | Factor: (x - 0)(x - 2) = x^2 -(2)x + 0 = 0. So x = 0 or 2. Check sum = 2, product = 0. | quadratic |
12,672 | word_problems | easy | If you have 83 dollars and you buy 31 more dollars, how many dollars do you have in total? | 114 | Add initial 83 plus bought 31: 83+31=114. | addition_word |
12,673 | calculus | medium | What is the derivative of 4x^8 with respect to x? | 32x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^8] = 4*8*x^7 = 32x^7. | derivative |
12,674 | arithmetic | easy | What is 782 + 491 * 100? Remember order of operations. | 49882 | Order of operations (PEMDAS): first 491*100=49100, then 782+49100=49882. | basic_operations |
12,675 | calculus | medium | What is the derivative of 7x^3 with respect to x? | 21x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^3] = 7*3*x^2 = 21x^2. | derivative |
12,676 | calculus | medium | What is the indefinite integral of x^6 dx? | x^7/7 + C | Power rule for integration: integral x^n dx = x^(n+1)/(n+1) + C. So integral x^6 = x^7/7 + C. | integral |
12,677 | word_problems | easy | If you have 99 pencils and you buy 49 more pencils, how many pencils do you have in total? | 148 | Add initial 99 plus bought 49: 99+49=148. | addition_word |
12,678 | calculus | medium | What is the indefinite integral of x^1 dx? | x^2/2 + C | Power rule for integration: integral x^n dx = x^(n+1)/(n+1) + C. So integral x^1 = x^2/2 + C. | integral |
12,679 | calculus | medium | What is the derivative of 4x^3 with respect to x? | 12x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^3] = 4*3*x^2 = 12x^2. | derivative |
12,680 | calculus | medium | What is the derivative of 9x^3 with respect to x? | 27x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^3] = 9*3*x^2 = 27x^2. | derivative |
12,681 | arithmetic | easy | What is 192 / 32? | 6 | Divide: 192 ÷ 32 = 6 because 32*6=192. | division |
12,682 | algebra | easy | Solve for x: 14x - 34 = -48 | -1 | Add 34 to both sides: 14x = -48+34=-14. Then x = -14/14 = -1. | linear_equation |
12,683 | calculus | medium | What is the indefinite integral of x^3 dx? | x^4/4 + C | Power rule for integration: integral x^n dx = x^(n+1)/(n+1) + C. So integral x^3 = x^4/4 + C. | integral |
12,684 | arithmetic | easy | What is 625 - 259? | 366 | Subtract: 625 - 259 = 366. | basic_operations |
12,685 | geometry | easy | Find the area of a triangle with base 63 and height 58. | 1827 | Area = 0.5*base*height = 0.5*63*58 = 1827. | triangle_area |
12,686 | arithmetic | easy | What is 797 + 321 * 29? Remember order of operations. | 10106 | Order of operations (PEMDAS): first 321*29=9309, then 797+9309=10106. | basic_operations |
12,687 | percentages | easy | What is 33% of 989? | 326.37 | Calculate 33/100 * 989 = 0.33*989 = 326.37. | percentages |
12,688 | roots | easy | What is the square root of 361? | 19 | Find number that when squared gives 361. 19*19=361, so sqrt(361)=19. | square_roots |
12,689 | arithmetic | easy | What is 1023 divided by 18? Give answer to 2 decimal places. | 56.83 | Calculate 1023/ 18 = 56.8333, rounded to 2 decimals is 56.83. | division |
12,690 | algebra | medium | Solve for x: x^2 + 2x - 63 = 0 | x = -9, 7 | Factor: (x - -9)(x - 7) = x^2 -(-2)x + -63 = 0. So x = -9 or 7. Check sum = -2, product = -63. | quadratic |
12,691 | arithmetic | easy | What is 869 + 79? | 948 | Add the two numbers: 869 + 79 = 948. | basic_operations |
12,692 | percentages | easy | What is 33% of 940? | 310.2 | Calculate 33/100 * 940 = 0.33*940 = 310.2. | percentages |
12,693 | algebra | medium | Solve for x: x^2 + 3x - 70 = 0 | x = 7, -10 | Factor: (x - 7)(x - -10) = x^2 -(-3)x + -70 = 0. So x = 7 or -10. Check sum = -3, product = -70. | quadratic |
12,694 | arithmetic | easy | What is 809 + 691? | 1500 | Add the two numbers: 809 + 691 = 1500. | basic_operations |
12,695 | number_theory | medium | What is the LCM (least common multiple) of 32 and 50? | 800 | LCM = |32*50| / GCD(32,50). GCD=2, so LCM=1600/2=800. | lcm |
12,696 | arithmetic | easy | What is 649 - 296? | 353 | Subtract: 649 - 296 = 353. | basic_operations |
12,697 | calculus | medium | What is the indefinite integral of x^5 dx? | x^6/6 + C | Power rule for integration: integral x^n dx = x^(n+1)/(n+1) + C. So integral x^5 = x^6/6 + C. | integral |
12,698 | arithmetic | easy | What is 22 + 28 * 11? Remember order of operations. | 330 | Order of operations (PEMDAS): first 28*11=308, then 22+308=330. | basic_operations |
12,699 | roots | easy | What is the square root of 81? | 9 | Find number that when squared gives 81. 9*9=81, so sqrt(81)=9. | square_roots |
12,700 | exponents | easy | What is 2^4? | 16 | 2^4 means multiply 2 by itself 4 times: 2*2*2*2 = 16. | exponents |
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