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 |
|---|---|---|---|---|---|---|
2,401 | geometry | easy | Find the area of a circle with radius 42. Use pi=3.14159, round to 2 decimals. | 5541.77 | Area = pi*r^2 = 3.14159*42^2 = 3.14159*1764 = 5541.77. | circle_area |
2,402 | arithmetic | easy | What is 37 + 97 * 54? Remember order of operations. | 5275 | Order of operations (PEMDAS): first 97*54=5238, then 37+5238=5275. | basic_operations |
2,403 | 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 |
2,404 | percentages | easy | What is 27% of 553? | 149.31 | Calculate 27/100 * 553 = 0.27*553 = 149.31. | percentages |
2,405 | arithmetic | easy | What is 929 + 940? | 1869 | Add the two numbers: 929 + 940 = 1869. | basic_operations |
2,406 | percentages | easy | What is 78% of 894? | 697.32 | Calculate 78/100 * 894 = 0.78*894 = 697.32. | percentages |
2,407 | calculus | medium | What is the derivative of 6x^6 with respect to x? | 36x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^6] = 6*6*x^5 = 36x^5. | derivative |
2,408 | algebra | medium | Solve for x: x^2 - 14x + 40 = 0 | x = 4, 10 | Factor: (x - 4)(x - 10) = x^2 -(14)x + 40 = 0. So x = 4 or 10. Check sum = 14, product = 40. | quadratic |
2,409 | arithmetic | easy | What is 67 + 891? | 958 | Add the two numbers: 67 + 891 = 958. | basic_operations |
2,410 | arithmetic | easy | What is 650 + 145 * 27? Remember order of operations. | 4565 | Order of operations (PEMDAS): first 145*27=3915, then 650+3915=4565. | basic_operations |
2,411 | fractions | medium | What is 8/18 * 3/15? Give as simplified fraction. | 4/45 | Multiply numerators: 8*3=24. Denominators: 18*15=270. Simplify by gcd 6 to get 4/45. | fraction_operations |
2,412 | word_problems | easy | If you have 44 books and you buy 11 more books, how many books do you have in total? | 55 | Add initial 44 plus bought 11: 44+11=55. | addition_word |
2,413 | percentages | easy | What is 55% of 181? | 99.55 | Calculate 55/100 * 181 = 0.55*181 = 99.55. | percentages |
2,414 | percentages | easy | What is 39% of 293? | 114.27 | Calculate 39/100 * 293 = 0.39*293 = 114.27. | percentages |
2,415 | word_problems | easy | If you have 86 dollars and you buy 13 more dollars, how many dollars do you have in total? | 99 | Add initial 86 plus bought 13: 86+13=99. | addition_word |
2,416 | statistics | easy | What is the mean (average) of 47, 51, 49? | 49 | Mean = sum/count. Sum = 47+51+49=147. Count=3. Mean=147/3=49.0. | mean |
2,417 | algebra | medium | Solve for x: x^2 - 9x + 20 = 0 | x = 5, 4 | Factor: (x - 5)(x - 4) = x^2 -(9)x + 20 = 0. So x = 5 or 4. Check sum = 9, product = 20. | quadratic |
2,418 | 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 |
2,419 | 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 |
2,420 | algebra | easy | Solve for x: 16x - 48 = 16 | 4 | Add 48 to both sides: 16x = 16+48=64. Then x = 64/16 = 4. | linear_equation |
2,421 | 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 |
2,422 | arithmetic | easy | What is 69 * 20? | 1380 | Multiply: 69 * 20 = 1380. | basic_operations |
2,423 | algebra | medium | Solve for x: x^2 - 4 = 0 | x = -2, 2 | Factor: (x - -2)(x - 2) = x^2 -(0)x + -4 = 0. So x = -2 or 2. Check sum = 0, product = -4. | quadratic |
2,424 | word_problems | easy | If you have 44 dollars and you buy 30 more dollars, how many dollars do you have in total? | 74 | Add initial 44 plus bought 30: 44+30=74. | addition_word |
2,425 | calculus | medium | What is the derivative of 10x^6 with respect to x? | 60x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^6] = 10*6*x^5 = 60x^5. | derivative |
2,426 | statistics | easy | What is the mean (average) of 43, 18, 92? | 51 | Mean = sum/count. Sum = 43+18+92=153. Count=3. Mean=153/3=51.0. | mean |
2,427 | statistics | easy | What is the mean (average) of 20, 25, 1? | 15.33 | Mean = sum/count. Sum = 20+25+1=46. Count=3. Mean=46/3=15.33. | mean |
2,428 | arithmetic | easy | What is 48 * 63? | 3024 | Multiply: 48 * 63 = 3024. | basic_operations |
2,429 | 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 |
2,430 | number_theory | medium | What is the LCM (least common multiple) of 50 and 63? | 3150 | LCM = |50*63| / GCD(50,63). GCD=1, so LCM=3150/1=3150. | lcm |
2,431 | arithmetic | easy | What is 419 + 907? | 1326 | Add the two numbers: 419 + 907 = 1326. | basic_operations |
2,432 | algebra | medium | Solve for x: x^2 + 1x - 12 = 0 | x = -4, 3 | Factor: (x - -4)(x - 3) = x^2 -(-1)x + -12 = 0. So x = -4 or 3. Check sum = -1, product = -12. | quadratic |
2,433 | geometry | easy | Find the area of a circle with radius 33. Use pi=3.14159, round to 2 decimals. | 3421.19 | Area = pi*r^2 = 3.14159*33^2 = 3.14159*1089 = 3421.19. | circle_area |
2,434 | statistics | easy | What is the mean (average) of 89, 48, 90, 8, 84? | 63.8 | Mean = sum/count. Sum = 89+48+90+8+84=319. Count=5. Mean=319/5=63.8. | mean |
2,435 | calculus | medium | What is the derivative of 4x^5 with respect to x? | 20x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^5] = 4*5*x^4 = 20x^4. | derivative |
2,436 | percentages | easy | What is 62% of 36? | 22.32 | Calculate 62/100 * 36 = 0.62*36 = 22.32. | percentages |
2,437 | number_theory | medium | What is the GCD (greatest common divisor) of 81 and 91? | 1 | Find greatest number dividing both 81 and 91. Divisors common, greatest is 1. | gcd |
2,438 | algebra | easy | Solve for x: 9x + 27 = 108 | 9 | Subtract 27 from both sides: 9x = 108-27=81. Then divide by 9: x = 81/9 = 9. | linear_equation |
2,439 | algebra | easy | Solve for x: 9x - 19 = 143 | 18 | Add 19 to both sides: 9x = 143+19=162. Then x = 162/9 = 18. | linear_equation |
2,440 | algebra | medium | Solve for x: x^2 + 17x + 70 = 0 | x = -10, -7 | Factor: (x - -10)(x - -7) = x^2 -(-17)x + 70 = 0. So x = -10 or -7. Check sum = -17, product = 70. | quadratic |
2,441 | arithmetic | easy | What is 729 - 660? | 69 | Subtract: 729 - 660 = 69. | basic_operations |
2,442 | arithmetic | easy | What is 932 + 531 * 25? Remember order of operations. | 14207 | Order of operations (PEMDAS): first 531*25=13275, then 932+13275=14207. | basic_operations |
2,443 | 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 |
2,444 | exponents | easy | What is 10^5? | 100000 | 10^5 means multiply 10 by itself 5 times: 10*10*10*10*10 = 100000. | exponents |
2,445 | exponents | easy | What is 8^2? | 64 | 8^2 means multiply 8 by itself 2 times: 8*8 = 64. | exponents |
2,446 | arithmetic | easy | What is 24402 / 83? | 294 | Divide: 24402 ÷ 83 = 294 because 83*294=24402. | division |
2,447 | geometry | easy | Find the perimeter of a rectangle with length 96 and width 51. | 294 | Perimeter = 2*(length+width) = 2*(96+51) = 2*147 = 294. | rectangle_perim |
2,448 | exponents | easy | What is 2^3? | 8 | 2^3 means multiply 2 by itself 3 times: 2*2*2 = 8. | exponents |
2,449 | statistics | easy | What is the mean (average) of 13, 9, 100? | 40.67 | Mean = sum/count. Sum = 13+9+100=122. Count=3. Mean=122/3=40.67. | mean |
2,450 | 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 |
2,451 | 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 |
2,452 | exponents | easy | What is 8^3? | 512 | 8^3 means multiply 8 by itself 3 times: 8*8*8 = 512. | exponents |
2,453 | algebra | medium | Solve for x: x^2 + 4x - 5 = 0 | x = 1, -5 | Factor: (x - 1)(x - -5) = x^2 -(-4)x + -5 = 0. So x = 1 or -5. Check sum = -4, product = -5. | quadratic |
2,454 | algebra | easy | Solve for x: 7x + 12 = -51 | -9 | Subtract 12 from both sides: 7x = -51-12=-63. Then divide by 7: x = -63/7 = -9. | linear_equation |
2,455 | arithmetic | easy | What is 17169 / 59? | 291 | Divide: 17169 ÷ 59 = 291 because 59*291=17169. | division |
2,456 | algebra | medium | Solve for x: x^2 + 13x + 36 = 0 | x = -4, -9 | Factor: (x - -4)(x - -9) = x^2 -(-13)x + 36 = 0. So x = -4 or -9. Check sum = -13, product = 36. | quadratic |
2,457 | algebra | medium | Solve for x: x^2 + 6x + 8 = 0 | x = -4, -2 | Factor: (x - -4)(x - -2) = x^2 -(-6)x + 8 = 0. So x = -4 or -2. Check sum = -6, product = 8. | quadratic |
2,458 | 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 |
2,459 | arithmetic | easy | What is 7138 / 83? | 86 | Divide: 7138 ÷ 83 = 86 because 83*86=7138. | division |
2,460 | arithmetic | easy | What is 387 + 128? | 515 | Add the two numbers: 387 + 128 = 515. | basic_operations |
2,461 | percentages | easy | What is 62% of 497? | 308.14 | Calculate 62/100 * 497 = 0.62*497 = 308.14. | percentages |
2,462 | arithmetic | easy | What is 96 / 3? | 32 | Divide: 96 ÷ 3 = 32 because 3*32=96. | division |
2,463 | arithmetic | easy | What is 100 + 217? | 317 | Add the two numbers: 100 + 217 = 317. | basic_operations |
2,464 | geometry | easy | Find the circumference of a circle with radius 31. Use pi=3.14159, round to 2 decimals. | 194.78 | Circumference = 2*pi*r = 2*3.14159*31 = 194.78. | circle_circum |
2,465 | roots | easy | What is the square root of 1521? | 39 | Find number that when squared gives 1521. 39*39=1521, so sqrt(1521)=39. | square_roots |
2,466 | 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 |
2,467 | number_theory | medium | What is the LCM (least common multiple) of 88 and 44? | 88 | LCM = |88*44| / GCD(88,44). GCD=44, so LCM=3872/44=88. | lcm |
2,468 | percentages | easy | What is 47% of 682? | 320.54 | Calculate 47/100 * 682 = 0.47*682 = 320.54. | percentages |
2,469 | calculus | medium | What is the derivative of 10x^5 with respect to x? | 50x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^5] = 10*5*x^4 = 50x^4. | derivative |
2,470 | arithmetic | easy | What is 999 + 365 * 43? Remember order of operations. | 16694 | Order of operations (PEMDAS): first 365*43=15695, then 999+15695=16694. | basic_operations |
2,471 | calculus | medium | What is the derivative of 3x^7 with respect to x? | 21x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^7] = 3*7*x^6 = 21x^6. | derivative |
2,472 | arithmetic | easy | What is 617 - 126? | 491 | Subtract: 617 - 126 = 491. | basic_operations |
2,473 | percentages | easy | What is 48% of 463? | 222.24 | Calculate 48/100 * 463 = 0.48*463 = 222.24. | percentages |
2,474 | statistics | easy | What is the mean (average) of 53, 85, 25, 1, 82? | 49.2 | Mean = sum/count. Sum = 53+85+25+1+82=246. Count=5. Mean=246/5=49.2. | mean |
2,475 | roots | easy | What is the square root of 4? | 2 | Find number that when squared gives 4. 2*2=4, so sqrt(4)=2. | square_roots |
2,476 | number_theory | medium | What is the LCM (least common multiple) of 6 and 95? | 570 | LCM = |6*95| / GCD(6,95). GCD=1, so LCM=570/1=570. | lcm |
2,477 | word_problems | easy | If you have 34 candies and you buy 39 more candies, how many candies do you have in total? | 73 | Add initial 34 plus bought 39: 34+39=73. | addition_word |
2,478 | calculus | medium | What is the derivative of 10x^7 with respect to x? | 70x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^7] = 10*7*x^6 = 70x^6. | derivative |
2,479 | arithmetic | easy | What is 90 * 13? | 1170 | Multiply: 90 * 13 = 1170. | basic_operations |
2,480 | exponents | easy | What is 11^3? | 1331 | 11^3 means multiply 11 by itself 3 times: 11*11*11 = 1331. | exponents |
2,481 | algebra | easy | Solve for x: 17x + 23 = 227 | 12 | Subtract 23 from both sides: 17x = 227-23=204. Then divide by 17: x = 204/17 = 12. | linear_equation |
2,482 | arithmetic | easy | What is 510 - 131? | 379 | Subtract: 510 - 131 = 379. | basic_operations |
2,483 | word_problems | easy | If you have 26 apples and you buy 29 more apples, how many apples do you have in total? | 55 | Add initial 26 plus bought 29: 26+29=55. | addition_word |
2,484 | statistics | easy | What is the mean (average) of 70, 31, 32, 28, 22? | 36.6 | Mean = sum/count. Sum = 70+31+32+28+22=183. Count=5. Mean=183/5=36.6. | mean |
2,485 | arithmetic | easy | What is 109 + 446 * 92? Remember order of operations. | 41141 | Order of operations (PEMDAS): first 446*92=41032, then 109+41032=41141. | basic_operations |
2,486 | roots | easy | What is the square root of 625? | 25 | Find number that when squared gives 625. 25*25=625, so sqrt(625)=25. | square_roots |
2,487 | geometry | easy | Find the perimeter of a rectangle with length 93 and width 33. | 252 | Perimeter = 2*(length+width) = 2*(93+33) = 2*126 = 252. | rectangle_perim |
2,488 | statistics | easy | What is the mean (average) of 16, 86, 18, 69, 82? | 54.2 | Mean = sum/count. Sum = 16+86+18+69+82=271. Count=5. Mean=271/5=54.2. | mean |
2,489 | statistics | easy | What is the mean (average) of 89, 43, 29? | 53.67 | Mean = sum/count. Sum = 89+43+29=161. Count=3. Mean=161/3=53.67. | mean |
2,490 | arithmetic | easy | What is 96 * 95? | 9120 | Multiply: 96 * 95 = 9120. | basic_operations |
2,491 | 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 |
2,492 | percentages | easy | What is 29% of 266? | 77.14 | Calculate 29/100 * 266 = 0.29*266 = 77.14. | percentages |
2,493 | arithmetic | easy | What is 1755 / 39? | 45 | Divide: 1755 ÷ 39 = 45 because 39*45=1755. | division |
2,494 | roots | easy | What is the square root of 2304? | 48 | Find number that when squared gives 2304. 48*48=2304, so sqrt(2304)=48. | square_roots |
2,495 | fractions | medium | What is 4/20 - 12/6? Give as simplified fraction. | -9/5 | Common denominator 120. Numerator 24-240=-216. So -216/120 simplifies to -9/5. | fraction_operations |
2,496 | 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 |
2,497 | exponents | easy | What is 2^3? | 8 | 2^3 means multiply 2 by itself 3 times: 2*2*2 = 8. | exponents |
2,498 | calculus | medium | What is the derivative of 6x^5 with respect to x? | 30x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^5] = 6*5*x^4 = 30x^4. | derivative |
2,499 | number_theory | medium | What is the GCD (greatest common divisor) of 87 and 17? | 1 | Find greatest number dividing both 87 and 17. Divisors common, greatest is 1. | gcd |
2,500 | arithmetic | easy | What is 295 divided by 52? Give answer to 2 decimal places. | 5.67 | Calculate 295/ 52 = 5.6731, rounded to 2 decimals is 5.67. | division |
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