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 |
|---|---|---|---|---|---|---|
1,501 | arithmetic | easy | What is 85 + 20 * 43? Remember order of operations. | 945 | Order of operations (PEMDAS): first 20*43=860, then 85+860=945. | basic_operations |
1,502 | algebra | easy | Solve for x: 6x + 48 = -54 | -17 | Subtract 48 from both sides: 6x = -54-48=-102. Then divide by 6: x = -102/6 = -17. | linear_equation |
1,503 | 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 |
1,504 | exponents | easy | What is 9^4? | 6561 | 9^4 means multiply 9 by itself 4 times: 9*9*9*9 = 6561. | exponents |
1,505 | algebra | medium | Solve for x: x^2 + 13x + 42 = 0 | x = -7, -6 | Factor: (x - -7)(x - -6) = x^2 -(-13)x + 42 = 0. So x = -7 or -6. Check sum = -13, product = 42. | quadratic |
1,506 | fractions | medium | What is 1/10 - 1/16? Give as simplified fraction. | 3/80 | Common denominator 160. Numerator 16-10=6. So 6/160 simplifies to 3/80. | fraction_operations |
1,507 | statistics | easy | What is the mean (average) of 1, 78, 64, 31, 28? | 40.4 | Mean = sum/count. Sum = 1+78+64+31+28=202. Count=5. Mean=202/5=40.4. | mean |
1,508 | statistics | easy | What is the mean (average) of 53, 57, 11, 77? | 49.5 | Mean = sum/count. Sum = 53+57+11+77=198. Count=4. Mean=198/4=49.5. | mean |
1,509 | arithmetic | easy | What is 904 - 251? | 653 | Subtract: 904 - 251 = 653. | basic_operations |
1,510 | fractions | medium | What is 2/7 * 5/3? Give as simplified fraction. | 10/21 | Multiply numerators: 2*5=10. Denominators: 7*3=21. Simplify by gcd 1 to get 10/21. | fraction_operations |
1,511 | number_theory | medium | What is the GCD (greatest common divisor) of 5 and 19? | 1 | Find greatest number dividing both 5 and 19. Divisors common, greatest is 1. | gcd |
1,512 | exponents | easy | What is 7^2? | 49 | 7^2 means multiply 7 by itself 2 times: 7*7 = 49. | exponents |
1,513 | arithmetic | easy | What is 112 + 427? | 539 | Add the two numbers: 112 + 427 = 539. | basic_operations |
1,514 | algebra | medium | Solve for x: x^2 - 12x + 32 = 0 | x = 4, 8 | Factor: (x - 4)(x - 8) = x^2 -(12)x + 32 = 0. So x = 4 or 8. Check sum = 12, product = 32. | quadratic |
1,515 | number_theory | medium | What is the LCM (least common multiple) of 5 and 12? | 60 | LCM = |5*12| / GCD(5,12). GCD=1, so LCM=60/1=60. | lcm |
1,516 | roots | easy | What is the square root of 576? | 24 | Find number that when squared gives 576. 24*24=576, so sqrt(576)=24. | square_roots |
1,517 | calculus | medium | What is the derivative of 2x^8 with respect to x? | 16x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^8] = 2*8*x^7 = 16x^7. | derivative |
1,518 | calculus | medium | What is the indefinite integral of x^7 dx? | x^8/8 + C | Power rule for integration: integral x^n dx = x^(n+1)/(n+1) + C. So integral x^7 = x^8/8 + C. | integral |
1,519 | arithmetic | easy | What is 300 + 483? | 783 | Add the two numbers: 300 + 483 = 783. | basic_operations |
1,520 | geometry | easy | Find the area of a circle with radius 34. Use pi=3.14159, round to 2 decimals. | 3631.68 | Area = pi*r^2 = 3.14159*34^2 = 3.14159*1156 = 3631.68. | circle_area |
1,521 | 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 |
1,522 | fractions | medium | What is 7/3 * 4/20? Give as simplified fraction. | 7/15 | Multiply numerators: 7*4=28. Denominators: 3*20=60. Simplify by gcd 4 to get 7/15. | fraction_operations |
1,523 | arithmetic | easy | What is 91 * 37? | 3367 | Multiply: 91 * 37 = 3367. | basic_operations |
1,524 | roots | easy | What is the square root of 289? | 17 | Find number that when squared gives 289. 17*17=289, so sqrt(289)=17. | square_roots |
1,525 | number_theory | medium | What is the LCM (least common multiple) of 17 and 79? | 1343 | LCM = |17*79| / GCD(17,79). GCD=1, so LCM=1343/1=1343. | lcm |
1,526 | statistics | easy | What is the mean (average) of 24, 79, 30, 91? | 56 | Mean = sum/count. Sum = 24+79+30+91=224. Count=4. Mean=224/4=56.0. | mean |
1,527 | exponents | easy | What is 5^2? | 25 | 5^2 means multiply 5 by itself 2 times: 5*5 = 25. | exponents |
1,528 | arithmetic | easy | What is 1195 / 5? | 239 | Divide: 1195 ÷ 5 = 239 because 5*239=1195. | division |
1,529 | 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 |
1,530 | arithmetic | easy | What is 28 * 2? | 56 | Multiply: 28 * 2 = 56. | basic_operations |
1,531 | exponents | easy | What is 6^2? | 36 | 6^2 means multiply 6 by itself 2 times: 6*6 = 36. | exponents |
1,532 | exponents | easy | What is 6^4? | 1296 | 6^4 means multiply 6 by itself 4 times: 6*6*6*6 = 1296. | exponents |
1,533 | arithmetic | easy | What is 703 - 117? | 586 | Subtract: 703 - 117 = 586. | basic_operations |
1,534 | arithmetic | easy | What is 853 - 180? | 673 | Subtract: 853 - 180 = 673. | basic_operations |
1,535 | statistics | easy | What is the mean (average) of 5, 83, 18, 62? | 42 | Mean = sum/count. Sum = 5+83+18+62=168. Count=4. Mean=168/4=42.0. | mean |
1,536 | algebra | easy | Solve for x: 15x + 18 = 33 | 1 | Subtract 18 from both sides: 15x = 33-18=15. Then divide by 15: x = 15/15 = 1. | linear_equation |
1,537 | word_problems | easy | If you have 57 apples and you buy 48 more apples, how many apples do you have in total? | 105 | Add initial 57 plus bought 48: 57+48=105. | addition_word |
1,538 | exponents | easy | What is 11^4? | 14641 | 11^4 means multiply 11 by itself 4 times: 11*11*11*11 = 14641. | exponents |
1,539 | arithmetic | easy | What is 592 - 214? | 378 | Subtract: 592 - 214 = 378. | basic_operations |
1,540 | number_theory | medium | What is the LCM (least common multiple) of 9 and 20? | 180 | LCM = |9*20| / GCD(9,20). GCD=1, so LCM=180/1=180. | lcm |
1,541 | arithmetic | easy | What is 22 * 74? | 1628 | Multiply: 22 * 74 = 1628. | basic_operations |
1,542 | 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 |
1,543 | exponents | easy | What is 7^2? | 49 | 7^2 means multiply 7 by itself 2 times: 7*7 = 49. | exponents |
1,544 | geometry | easy | Find the circumference of a circle with radius 6. Use pi=3.14159, round to 2 decimals. | 37.7 | Circumference = 2*pi*r = 2*3.14159*6 = 37.7. | circle_circum |
1,545 | statistics | easy | What is the mean (average) of 48, 58, 39? | 48.33 | Mean = sum/count. Sum = 48+58+39=145. Count=3. Mean=145/3=48.33. | mean |
1,546 | fractions | medium | What is 17/11 - 6/5? Give as simplified fraction. | 19/55 | Common denominator 55. Numerator 85-66=19. So 19/55 simplifies to 19/55. | fraction_operations |
1,547 | arithmetic | easy | What is 797 - 207? | 590 | Subtract: 797 - 207 = 590. | basic_operations |
1,548 | statistics | easy | What is the mean (average) of 20, 25, 44, 62, 94? | 49 | Mean = sum/count. Sum = 20+25+44+62+94=245. Count=5. Mean=245/5=49.0. | mean |
1,549 | exponents | easy | What is 7^3? | 343 | 7^3 means multiply 7 by itself 3 times: 7*7*7 = 343. | exponents |
1,550 | arithmetic | easy | What is 23596 / 68? | 347 | Divide: 23596 ÷ 68 = 347 because 68*347=23596. | division |
1,551 | arithmetic | easy | What is 15 * 1? | 15 | Multiply: 15 * 1 = 15. | basic_operations |
1,552 | arithmetic | easy | What is 704 + 869? | 1573 | Add the two numbers: 704 + 869 = 1573. | basic_operations |
1,553 | arithmetic | easy | What is 96 + 40 * 99? Remember order of operations. | 4056 | Order of operations (PEMDAS): first 40*99=3960, then 96+3960=4056. | basic_operations |
1,554 | exponents | easy | What is 12^3? | 1728 | 12^3 means multiply 12 by itself 3 times: 12*12*12 = 1728. | exponents |
1,555 | 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 |
1,556 | fractions | medium | What is 10/10 - 18/12? Give as simplified fraction. | -1/2 | Common denominator 120. Numerator 120-180=-60. So -60/120 simplifies to -1/2. | fraction_operations |
1,557 | arithmetic | easy | What is 2772 / 36? | 77 | Divide: 2772 ÷ 36 = 77 because 36*77=2772. | division |
1,558 | arithmetic | easy | What is 1473 / 3? | 491 | Divide: 1473 ÷ 3 = 491 because 3*491=1473. | division |
1,559 | number_theory | medium | What is the LCM (least common multiple) of 71 and 41? | 2911 | LCM = |71*41| / GCD(71,41). GCD=1, so LCM=2911/1=2911. | lcm |
1,560 | algebra | easy | Solve for x: 10x + 23 = -27 | -5 | Subtract 23 from both sides: 10x = -27-23=-50. Then divide by 10: x = -50/10 = -5. | linear_equation |
1,561 | algebra | medium | Solve for x: x^2 + 9x + 8 = 0 | x = -8, -1 | Factor: (x - -8)(x - -1) = x^2 -(-9)x + 8 = 0. So x = -8 or -1. Check sum = -9, product = 8. | quadratic |
1,562 | roots | easy | What is the square root of 1225? | 35 | Find number that when squared gives 1225. 35*35=1225, so sqrt(1225)=35. | square_roots |
1,563 | word_problems | easy | If you have 11 apples and you buy 9 more apples, how many apples do you have in total? | 20 | Add initial 11 plus bought 9: 11+9=20. | addition_word |
1,564 | statistics | easy | What is the mean (average) of 7, 14, 50, 7, 12? | 18 | Mean = sum/count. Sum = 7+14+50+7+12=90. Count=5. Mean=90/5=18.0. | mean |
1,565 | 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 |
1,566 | algebra | medium | Solve for x: x^2 - 17x + 72 = 0 | x = 9, 8 | Factor: (x - 9)(x - 8) = x^2 -(17)x + 72 = 0. So x = 9 or 8. Check sum = 17, product = 72. | quadratic |
1,567 | word_problems | easy | If you have 83 dollars and you buy 23 more dollars, how many dollars do you have in total? | 106 | Add initial 83 plus bought 23: 83+23=106. | addition_word |
1,568 | 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 |
1,569 | arithmetic | easy | What is 998 - 945? | 53 | Subtract: 998 - 945 = 53. | basic_operations |
1,570 | arithmetic | easy | What is 833 + 822 * 90? Remember order of operations. | 74813 | Order of operations (PEMDAS): first 822*90=73980, then 833+73980=74813. | basic_operations |
1,571 | exponents | easy | What is 12^5? | 248832 | 12^5 means multiply 12 by itself 5 times: 12*12*12*12*12 = 248832. | exponents |
1,572 | statistics | easy | What is the mean (average) of 29, 19, 79? | 42.33 | Mean = sum/count. Sum = 29+19+79=127. Count=3. Mean=127/3=42.33. | mean |
1,573 | geometry | easy | Find the area of a circle with radius 26. Use pi=3.14159, round to 2 decimals. | 2123.72 | Area = pi*r^2 = 3.14159*26^2 = 3.14159*676 = 2123.72. | circle_area |
1,574 | algebra | medium | Solve for x: x^2 = 0 | x = 0 | Factor as (x - 0)^2 = 0, so root is 0 (double root). Sum of roots = 0, product = 0. | quadratic |
1,575 | word_problems | easy | If you have 67 apples and you buy 2 more apples, how many apples do you have in total? | 69 | Add initial 67 plus bought 2: 67+2=69. | addition_word |
1,576 | statistics | easy | What is the mean (average) of 45, 62, 60? | 55.67 | Mean = sum/count. Sum = 45+62+60=167. Count=3. Mean=167/3=55.67. | mean |
1,577 | algebra | medium | Solve for x: x^2 - 1 = 0 | x = -1, 1 | Factor: (x - -1)(x - 1) = x^2 -(0)x + -1 = 0. So x = -1 or 1. Check sum = 0, product = -1. | quadratic |
1,578 | algebra | easy | Solve for x: 17x - 37 = 48 | 5 | Add 37 to both sides: 17x = 48+37=85. Then x = 85/17 = 5. | linear_equation |
1,579 | arithmetic | easy | What is 12255 / 43? | 285 | Divide: 12255 ÷ 43 = 285 because 43*285=12255. | division |
1,580 | exponents | easy | What is 10^5? | 100000 | 10^5 means multiply 10 by itself 5 times: 10*10*10*10*10 = 100000. | exponents |
1,581 | calculus | medium | What is the derivative of 7x^6 with respect to x? | 42x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^6] = 7*6*x^5 = 42x^5. | derivative |
1,582 | percentages | easy | What is 80% of 250? | 200 | Calculate 80/100 * 250 = 0.8*250 = 200. | percentages |
1,583 | algebra | medium | Solve for x: x^2 - 7x + 10 = 0 | x = 5, 2 | Factor: (x - 5)(x - 2) = x^2 -(7)x + 10 = 0. So x = 5 or 2. Check sum = 7, product = 10. | quadratic |
1,584 | arithmetic | easy | What is 56 * 56? | 3136 | Multiply: 56 * 56 = 3136. | basic_operations |
1,585 | roots | easy | What is the square root of 1225? | 35 | Find number that when squared gives 1225. 35*35=1225, so sqrt(1225)=35. | square_roots |
1,586 | percentages | easy | What is 23% of 679? | 156.17 | Calculate 23/100 * 679 = 0.23*679 = 156.17. | percentages |
1,587 | arithmetic | easy | What is 63 * 15? | 945 | Multiply: 63 * 15 = 945. | basic_operations |
1,588 | word_problems | easy | If you have 46 apples and you buy 36 more apples, how many apples do you have in total? | 82 | Add initial 46 plus bought 36: 46+36=82. | addition_word |
1,589 | word_problems | easy | If you have 27 candies and you buy 20 more candies, how many candies do you have in total? | 47 | Add initial 27 plus bought 20: 27+20=47. | addition_word |
1,590 | arithmetic | easy | What is 99 * 49? | 4851 | Multiply: 99 * 49 = 4851. | basic_operations |
1,591 | arithmetic | easy | What is 97 * 82? | 7954 | Multiply: 97 * 82 = 7954. | basic_operations |
1,592 | algebra | easy | Solve for x: 5x + 7 = 77 | 14 | Subtract 7 from both sides: 5x = 77-7=70. Then divide by 5: x = 70/5 = 14. | linear_equation |
1,593 | exponents | easy | What is 8^5? | 32768 | 8^5 means multiply 8 by itself 5 times: 8*8*8*8*8 = 32768. | exponents |
1,594 | fractions | medium | What is 7/12 * 10/20? Give as simplified fraction. | 7/24 | Multiply numerators: 7*10=70. Denominators: 12*20=240. Simplify by gcd 10 to get 7/24. | fraction_operations |
1,595 | exponents | easy | What is 8^4? | 4096 | 8^4 means multiply 8 by itself 4 times: 8*8*8*8 = 4096. | exponents |
1,596 | arithmetic | easy | What is 52 * 17? | 884 | Multiply: 52 * 17 = 884. | basic_operations |
1,597 | arithmetic | easy | What is 379 + 923 * 71? Remember order of operations. | 65912 | Order of operations (PEMDAS): first 923*71=65533, then 379+65533=65912. | basic_operations |
1,598 | number_theory | medium | What is the GCD (greatest common divisor) of 15 and 37? | 1 | Find greatest number dividing both 15 and 37. Divisors common, greatest is 1. | gcd |
1,599 | percentages | easy | What is 56% of 720? | 403.2 | Calculate 56/100 * 720 = 0.56*720 = 403.2. | percentages |
1,600 | calculus | medium | What is the derivative of 6x^7 with respect to x? | 42x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^7] = 6*7*x^6 = 42x^6. | derivative |
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