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 |
|---|---|---|---|---|---|---|
732,401 | algebra | easy | Solve for x: 11x - 45 = -232 | -17 | Add 45 to both sides: 11x = -232+45=-187. Then x = -187/11 = -17. | linear_equation |
732,402 | exponents | easy | What is 9^2? | 81 | 9^2 means multiply 9 by itself 2 times: 9*9 = 81. | exponents |
732,403 | 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 |
732,404 | 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 |
732,405 | 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 |
732,406 | algebra | easy | Solve for x: 17x - 23 = -74 | -3 | Add 23 to both sides: 17x = -74+23=-51. Then x = -51/17 = -3. | linear_equation |
732,407 | arithmetic | easy | What is 896 - 427? | 469 | Subtract: 896 - 427 = 469. | basic_operations |
732,408 | arithmetic | easy | What is 6014 / 97? | 62 | Divide: 6014 ÷ 97 = 62 because 97*62=6014. | division |
732,409 | word_problems | easy | If you have 74 candies and you buy 34 more candies, how many candies do you have in total? | 108 | Add initial 74 plus bought 34: 74+34=108. | addition_word |
732,410 | calculus | medium | What is the derivative of 8x^3 with respect to x? | 24x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^3] = 8*3*x^2 = 24x^2. | derivative |
732,411 | statistics | easy | What is the mean (average) of 28, 22, 50, 91, 22? | 42.6 | Mean = sum/count. Sum = 28+22+50+91+22=213. Count=5. Mean=213/5=42.6. | mean |
732,412 | number_theory | medium | What is the LCM (least common multiple) of 45 and 5? | 45 | LCM = |45*5| / GCD(45,5). GCD=5, so LCM=225/5=45. | lcm |
732,413 | number_theory | medium | What is the GCD (greatest common divisor) of 9 and 99? | 9 | Find greatest number dividing both 9 and 99. Divisors common, greatest is 9. | gcd |
732,414 | percentages | easy | What is 49% of 973? | 476.77 | Calculate 49/100 * 973 = 0.49*973 = 476.77. | percentages |
732,415 | algebra | easy | Solve for x: 10x - 25 = -45 | -2 | Add 25 to both sides: 10x = -45+25=-20. Then x = -20/10 = -2. | linear_equation |
732,416 | 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 |
732,417 | algebra | easy | Solve for x: 19x + 50 = 240 | 10 | Subtract 50 from both sides: 19x = 240-50=190. Then divide by 19: x = 190/19 = 10. | linear_equation |
732,418 | arithmetic | easy | What is 34416 / 72? | 478 | Divide: 34416 ÷ 72 = 478 because 72*478=34416. | division |
732,419 | arithmetic | easy | What is 86 + 87 * 61? Remember order of operations. | 5393 | Order of operations (PEMDAS): first 87*61=5307, then 86+5307=5393. | basic_operations |
732,420 | geometry | easy | Find the area of a rectangle with length 22 and width 44. | 968 | Area = length * width = 22*44 = 968. | rectangle_area |
732,421 | number_theory | medium | What is the GCD (greatest common divisor) of 94 and 87? | 1 | Find greatest number dividing both 94 and 87. Divisors common, greatest is 1. | gcd |
732,422 | algebra | easy | Solve for x: 20x + 29 = 289 | 13 | Subtract 29 from both sides: 20x = 289-29=260. Then divide by 20: x = 260/20 = 13. | linear_equation |
732,423 | arithmetic | easy | What is 20841 divided by 91? Give answer to 2 decimal places. | 229.02 | Calculate 20841/ 91 = 229.0220, rounded to 2 decimals is 229.02. | division |
732,424 | 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 |
732,425 | arithmetic | easy | What is 265 + 192 * 93? Remember order of operations. | 18121 | Order of operations (PEMDAS): first 192*93=17856, then 265+17856=18121. | basic_operations |
732,426 | percentages | easy | What is 1% of 832? | 8.32 | Calculate 1/100 * 832 = 0.01*832 = 8.32. | percentages |
732,427 | 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 |
732,428 | number_theory | medium | What is the GCD (greatest common divisor) of 53 and 76? | 1 | Find greatest number dividing both 53 and 76. Divisors common, greatest is 1. | gcd |
732,429 | word_problems | easy | If you have 44 books and you buy 4 more books, how many books do you have in total? | 48 | Add initial 44 plus bought 4: 44+4=48. | addition_word |
732,430 | exponents | easy | What is 7^4? | 2401 | 7^4 means multiply 7 by itself 4 times: 7*7*7*7 = 2401. | exponents |
732,431 | arithmetic | easy | What is 40 + 73 * 18? Remember order of operations. | 1354 | Order of operations (PEMDAS): first 73*18=1314, then 40+1314=1354. | basic_operations |
732,432 | roots | easy | What is the square root of 25? | 5 | Find number that when squared gives 25. 5*5=25, so sqrt(25)=5. | square_roots |
732,433 | arithmetic | easy | What is 931 + 31? | 962 | Add the two numbers: 931 + 31 = 962. | basic_operations |
732,434 | 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 |
732,435 | percentages | easy | What is 59% of 892? | 526.28 | Calculate 59/100 * 892 = 0.59*892 = 526.28. | percentages |
732,436 | calculus | medium | What is the indefinite integral of x^2 dx? | x^3/3 + C | Power rule for integration: integral x^n dx = x^(n+1)/(n+1) + C. So integral x^2 = x^3/3 + C. | integral |
732,437 | algebra | medium | Solve for x: x^2 + 6x + 5 = 0 | x = -1, -5 | Factor: (x - -1)(x - -5) = x^2 -(-6)x + 5 = 0. So x = -1 or -5. Check sum = -6, product = 5. | quadratic |
732,438 | algebra | easy | Solve for x: 5x - 9 = 41 | 10 | Add 9 to both sides: 5x = 41+9=50. Then x = 50/5 = 10. | linear_equation |
732,439 | fractions | medium | What is 16/6 * 2/15? Give as simplified fraction. | 16/45 | Multiply numerators: 16*2=32. Denominators: 6*15=90. Simplify by gcd 2 to get 16/45. | fraction_operations |
732,440 | 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 |
732,441 | percentages | easy | What is 18% of 808? | 145.44 | Calculate 18/100 * 808 = 0.18*808 = 145.44. | percentages |
732,442 | word_problems | easy | If you have 75 dollars and you buy 42 more dollars, how many dollars do you have in total? | 117 | Add initial 75 plus bought 42: 75+42=117. | addition_word |
732,443 | fractions | medium | What is 9/15 * 5/8? Give as simplified fraction. | 3/8 | Multiply numerators: 9*5=45. Denominators: 15*8=120. Simplify by gcd 15 to get 3/8. | fraction_operations |
732,444 | roots | easy | What is the square root of 2500? | 50 | Find number that when squared gives 2500. 50*50=2500, so sqrt(2500)=50. | square_roots |
732,445 | algebra | medium | Solve for x: x^2 - 4x + 3 = 0 | x = 1, 3 | Factor: (x - 1)(x - 3) = x^2 -(4)x + 3 = 0. So x = 1 or 3. Check sum = 4, product = 3. | quadratic |
732,446 | 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 |
732,447 | fractions | medium | What is 13/20 - 2/11? Give as simplified fraction. | 103/220 | Common denominator 220. Numerator 143-40=103. So 103/220 simplifies to 103/220. | fraction_operations |
732,448 | arithmetic | easy | What is 799 - 116? | 683 | Subtract: 799 - 116 = 683. | basic_operations |
732,449 | algebra | easy | Solve for x: 6x + 44 = 104 | 10 | Subtract 44 from both sides: 6x = 104-44=60. Then divide by 6: x = 60/6 = 10. | linear_equation |
732,450 | arithmetic | easy | What is 19110 / 42? | 455 | Divide: 19110 ÷ 42 = 455 because 42*455=19110. | division |
732,451 | 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 |
732,452 | algebra | easy | Solve for x: 1x - 11 = 9 | 20 | Add 11 to both sides: 1x = 9+11=20. Then x = 20/1 = 20. | linear_equation |
732,453 | arithmetic | easy | What is 12225 / 75? | 163 | Divide: 12225 ÷ 75 = 163 because 75*163=12225. | division |
732,454 | 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 |
732,455 | 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 |
732,456 | exponents | easy | What is 12^4? | 20736 | 12^4 means multiply 12 by itself 4 times: 12*12*12*12 = 20736. | exponents |
732,457 | number_theory | medium | What is the GCD (greatest common divisor) of 13 and 5? | 1 | Find greatest number dividing both 13 and 5. Divisors common, greatest is 1. | gcd |
732,458 | fractions | medium | What is 7/18 * 7/3? Give as simplified fraction. | 49/54 | Multiply numerators: 7*7=49. Denominators: 18*3=54. Simplify by gcd 1 to get 49/54. | fraction_operations |
732,459 | calculus | medium | What is the derivative of 5x^6 with respect to x? | 30x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^6] = 5*6*x^5 = 30x^5. | derivative |
732,460 | geometry | easy | Find the area of a triangle with base 81 and height 34. | 1377 | Area = 0.5*base*height = 0.5*81*34 = 1377. | triangle_area |
732,461 | arithmetic | easy | What is 39 + 783 * 62? Remember order of operations. | 48585 | Order of operations (PEMDAS): first 783*62=48546, then 39+48546=48585. | basic_operations |
732,462 | percentages | easy | What is 4% of 581? | 23.24 | Calculate 4/100 * 581 = 0.04*581 = 23.24. | percentages |
732,463 | exponents | easy | What is 2^3? | 8 | 2^3 means multiply 2 by itself 3 times: 2*2*2 = 8. | exponents |
732,464 | algebra | medium | Solve for x: x^2 - 11x + 30 = 0 | x = 6, 5 | Factor: (x - 6)(x - 5) = x^2 -(11)x + 30 = 0. So x = 6 or 5. Check sum = 11, product = 30. | quadratic |
732,465 | word_problems | easy | If you have 58 pencils and you buy 14 more pencils, how many pencils do you have in total? | 72 | Add initial 58 plus bought 14: 58+14=72. | addition_word |
732,466 | arithmetic | easy | What is 7932 divided by 17? Give answer to 2 decimal places. | 466.59 | Calculate 7932/ 17 = 466.5882, rounded to 2 decimals is 466.59. | division |
732,467 | percentages | easy | What is 62% of 36? | 22.32 | Calculate 62/100 * 36 = 0.62*36 = 22.32. | percentages |
732,468 | arithmetic | easy | What is 96 + 562? | 658 | Add the two numbers: 96 + 562 = 658. | basic_operations |
732,469 | geometry | easy | Find the area of a rectangle with length 90 and width 31. | 2790 | Area = length * width = 90*31 = 2790. | rectangle_area |
732,470 | arithmetic | easy | What is 11 * 48? | 528 | Multiply: 11 * 48 = 528. | basic_operations |
732,471 | number_theory | medium | What is the LCM (least common multiple) of 29 and 34? | 986 | LCM = |29*34| / GCD(29,34). GCD=1, so LCM=986/1=986. | lcm |
732,472 | arithmetic | easy | What is 845 + 165 * 30? Remember order of operations. | 5795 | Order of operations (PEMDAS): first 165*30=4950, then 845+4950=5795. | basic_operations |
732,473 | fractions | medium | What is 18/4 * 3/2? Give as simplified fraction. | 27/4 | Multiply numerators: 18*3=54. Denominators: 4*2=8. Simplify by gcd 2 to get 27/4. | fraction_operations |
732,474 | arithmetic | easy | What is 17 * 5? | 85 | Multiply: 17 * 5 = 85. | basic_operations |
732,475 | fractions | medium | What is 12/8 - 20/3? Give as simplified fraction. | -31/6 | Common denominator 24. Numerator 36-160=-124. So -124/24 simplifies to -31/6. | fraction_operations |
732,476 | percentages | easy | What is 98% of 106? | 103.88 | Calculate 98/100 * 106 = 0.98*106 = 103.88. | percentages |
732,477 | arithmetic | easy | What is 537 + 34 * 66? Remember order of operations. | 2781 | Order of operations (PEMDAS): first 34*66=2244, then 537+2244=2781. | basic_operations |
732,478 | roots | easy | What is the square root of 196? | 14 | Find number that when squared gives 196. 14*14=196, so sqrt(196)=14. | square_roots |
732,479 | fractions | medium | What is 2/18 * 4/8? Give as simplified fraction. | 1/18 | Multiply numerators: 2*4=8. Denominators: 18*8=144. Simplify by gcd 8 to get 1/18. | fraction_operations |
732,480 | statistics | easy | What is the mean (average) of 48, 65, 24, 32, 56? | 45 | Mean = sum/count. Sum = 48+65+24+32+56=225. Count=5. Mean=225/5=45.0. | mean |
732,481 | 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 |
732,482 | roots | easy | What is the square root of 100? | 10 | Find number that when squared gives 100. 10*10=100, so sqrt(100)=10. | square_roots |
732,483 | number_theory | medium | What is the LCM (least common multiple) of 38 and 12? | 228 | LCM = |38*12| / GCD(38,12). GCD=2, so LCM=456/2=228. | lcm |
732,484 | geometry | easy | Find the area of a circle with radius 19. Use pi=3.14159, round to 2 decimals. | 1134.11 | Area = pi*r^2 = 3.14159*19^2 = 3.14159*361 = 1134.11. | circle_area |
732,485 | algebra | easy | Solve for x: 17x - 16 = -67 | -3 | Add 16 to both sides: 17x = -67+16=-51. Then x = -51/17 = -3. | linear_equation |
732,486 | statistics | easy | What is the mean (average) of 74, 57, 87? | 72.67 | Mean = sum/count. Sum = 74+57+87=218. Count=3. Mean=218/3=72.67. | mean |
732,487 | statistics | easy | What is the mean (average) of 89, 22, 37, 88? | 59 | Mean = sum/count. Sum = 89+22+37+88=236. Count=4. Mean=236/4=59.0. | mean |
732,488 | calculus | medium | What is the indefinite integral of x^2 dx? | x^3/3 + C | Power rule for integration: integral x^n dx = x^(n+1)/(n+1) + C. So integral x^2 = x^3/3 + C. | integral |
732,489 | algebra | easy | Solve for x: 20x - 6 = 334 | 17 | Add 6 to both sides: 20x = 334+6=340. Then x = 340/20 = 17. | linear_equation |
732,490 | number_theory | medium | What is the LCM (least common multiple) of 26 and 56? | 728 | LCM = |26*56| / GCD(26,56). GCD=2, so LCM=1456/2=728. | lcm |
732,491 | algebra | medium | Solve for x: x^2 - 4x - 21 = 0 | x = -3, 7 | Factor: (x - -3)(x - 7) = x^2 -(4)x + -21 = 0. So x = -3 or 7. Check sum = 4, product = -21. | quadratic |
732,492 | arithmetic | easy | What is 25370 / 86? | 295 | Divide: 25370 ÷ 86 = 295 because 86*295=25370. | division |
732,493 | arithmetic | easy | What is 16492 / 76? | 217 | Divide: 16492 ÷ 76 = 217 because 76*217=16492. | division |
732,494 | arithmetic | easy | What is 212 + 257 * 70? Remember order of operations. | 18202 | Order of operations (PEMDAS): first 257*70=17990, then 212+17990=18202. | basic_operations |
732,495 | fractions | medium | What is 4/6 * 18/17? Give as simplified fraction. | 12/17 | Multiply numerators: 4*18=72. Denominators: 6*17=102. Simplify by gcd 6 to get 12/17. | fraction_operations |
732,496 | 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 |
732,497 | statistics | easy | What is the mean (average) of 48, 77, 70? | 65 | Mean = sum/count. Sum = 48+77+70=195. Count=3. Mean=195/3=65.0. | mean |
732,498 | arithmetic | easy | What is 85 + 71 * 14? Remember order of operations. | 1079 | Order of operations (PEMDAS): first 71*14=994, then 85+994=1079. | basic_operations |
732,499 | arithmetic | easy | What is 955 + 754 * 28? Remember order of operations. | 22067 | Order of operations (PEMDAS): first 754*28=21112, then 955+21112=22067. | basic_operations |
732,500 | statistics | easy | What is the mean (average) of 82, 48, 9, 96? | 58.75 | Mean = sum/count. Sum = 82+48+9+96=235. Count=4. Mean=235/4=58.75. | mean |
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