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 |
|---|---|---|---|---|---|---|
11,401 | arithmetic | easy | What is 13940 / 85? | 164 | Divide: 13940 ÷ 85 = 164 because 85*164=13940. | division |
11,402 | arithmetic | easy | What is 10764 / 52? | 207 | Divide: 10764 ÷ 52 = 207 because 52*207=10764. | division |
11,403 | algebra | medium | Solve for x: x^2 - 9 = 0 | x = -3, 3 | Factor: (x - -3)(x - 3) = x^2 -(0)x + -9 = 0. So x = -3 or 3. Check sum = 0, product = -9. | quadratic |
11,404 | algebra | easy | Solve for x: 18x - 43 = -277 | -13 | Add 43 to both sides: 18x = -277+43=-234. Then x = -234/18 = -13. | linear_equation |
11,405 | percentages | easy | What is 65% of 542? | 352.3 | Calculate 65/100 * 542 = 0.65*542 = 352.3. | percentages |
11,406 | number_theory | medium | What is the GCD (greatest common divisor) of 25 and 10? | 5 | Find greatest number dividing both 25 and 10. Divisors common, greatest is 5. | gcd |
11,407 | number_theory | medium | What is the GCD (greatest common divisor) of 36 and 100? | 4 | Find greatest number dividing both 36 and 100. Divisors common, greatest is 4. | gcd |
11,408 | statistics | easy | What is the mean (average) of 13, 47, 63, 32, 34? | 37.8 | Mean = sum/count. Sum = 13+47+63+32+34=189. Count=5. Mean=189/5=37.8. | mean |
11,409 | arithmetic | easy | What is 881 + 326 * 75? Remember order of operations. | 25331 | Order of operations (PEMDAS): first 326*75=24450, then 881+24450=25331. | basic_operations |
11,410 | calculus | medium | What is the derivative of 7x^8 with respect to x? | 56x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^8] = 7*8*x^7 = 56x^7. | derivative |
11,411 | arithmetic | easy | What is 513 + 431? | 944 | Add the two numbers: 513 + 431 = 944. | basic_operations |
11,412 | number_theory | medium | What is the LCM (least common multiple) of 8 and 38? | 152 | LCM = |8*38| / GCD(8,38). GCD=2, so LCM=304/2=152. | lcm |
11,413 | arithmetic | easy | What is 23 * 19? | 437 | Multiply: 23 * 19 = 437. | basic_operations |
11,414 | statistics | easy | What is the mean (average) of 82, 78, 17, 19, 44? | 48 | Mean = sum/count. Sum = 82+78+17+19+44=240. Count=5. Mean=240/5=48.0. | mean |
11,415 | arithmetic | easy | What is 33283 / 83? | 401 | Divide: 33283 ÷ 83 = 401 because 83*401=33283. | division |
11,416 | 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 |
11,417 | arithmetic | easy | What is 5712 divided by 33? Give answer to 2 decimal places. | 173.09 | Calculate 5712/ 33 = 173.0909, rounded to 2 decimals is 173.09. | division |
11,418 | algebra | easy | Solve for x: 3x - 43 = -4 | 13 | Add 43 to both sides: 3x = -4+43=39. Then x = 39/3 = 13. | linear_equation |
11,419 | exponents | easy | What is 2^2? | 4 | 2^2 means multiply 2 by itself 2 times: 2*2 = 4. | exponents |
11,420 | roots | easy | What is the square root of 961? | 31 | Find number that when squared gives 961. 31*31=961, so sqrt(961)=31. | square_roots |
11,421 | statistics | easy | What is the mean (average) of 3, 51, 18, 91, 79? | 48.4 | Mean = sum/count. Sum = 3+51+18+91+79=242. Count=5. Mean=242/5=48.4. | mean |
11,422 | arithmetic | easy | What is 578 - 39? | 539 | Subtract: 578 - 39 = 539. | basic_operations |
11,423 | algebra | medium | Solve for x: x^2 - 9x + 18 = 0 | x = 3, 6 | Factor: (x - 3)(x - 6) = x^2 -(9)x + 18 = 0. So x = 3 or 6. Check sum = 9, product = 18. | quadratic |
11,424 | 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 |
11,425 | arithmetic | easy | What is 12 * 98? | 1176 | Multiply: 12 * 98 = 1176. | basic_operations |
11,426 | algebra | medium | Solve for x: x^2 + 8x + 7 = 0 | x = -7, -1 | Factor: (x - -7)(x - -1) = x^2 -(-8)x + 7 = 0. So x = -7 or -1. Check sum = -8, product = 7. | quadratic |
11,427 | arithmetic | easy | What is 977 - 454? | 523 | Subtract: 977 - 454 = 523. | basic_operations |
11,428 | arithmetic | easy | What is 539 + 703? | 1242 | Add the two numbers: 539 + 703 = 1242. | basic_operations |
11,429 | fractions | medium | What is 19/2 * 7/2? Give as simplified fraction. | 133/4 | Multiply numerators: 19*7=133. Denominators: 2*2=4. Simplify by gcd 1 to get 133/4. | fraction_operations |
11,430 | algebra | easy | Solve for x: 1x - 44 = -43 | 1 | Add 44 to both sides: 1x = -43+44=1. Then x = 1/1 = 1. | linear_equation |
11,431 | 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 |
11,432 | arithmetic | easy | What is 494 + 8? | 502 | Add the two numbers: 494 + 8 = 502. | basic_operations |
11,433 | exponents | easy | What is 9^4? | 6561 | 9^4 means multiply 9 by itself 4 times: 9*9*9*9 = 6561. | exponents |
11,434 | roots | easy | What is the square root of 1764? | 42 | Find number that when squared gives 1764. 42*42=1764, so sqrt(1764)=42. | square_roots |
11,435 | word_problems | easy | If you have 84 pencils and you buy 34 more pencils, how many pencils do you have in total? | 118 | Add initial 84 plus bought 34: 84+34=118. | addition_word |
11,436 | algebra | medium | Solve for x: x^2 + 11x + 24 = 0 | x = -8, -3 | Factor: (x - -8)(x - -3) = x^2 -(-11)x + 24 = 0. So x = -8 or -3. Check sum = -11, product = 24. | quadratic |
11,437 | 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 |
11,438 | arithmetic | easy | What is 21164 / 44? | 481 | Divide: 21164 ÷ 44 = 481 because 44*481=21164. | division |
11,439 | fractions | medium | What is 6/6 * 19/16? Give as simplified fraction. | 19/16 | Multiply numerators: 6*19=114. Denominators: 6*16=96. Simplify by gcd 6 to get 19/16. | fraction_operations |
11,440 | 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 |
11,441 | arithmetic | easy | What is 87 * 32? | 2784 | Multiply: 87 * 32 = 2784. | basic_operations |
11,442 | exponents | easy | What is 9^4? | 6561 | 9^4 means multiply 9 by itself 4 times: 9*9*9*9 = 6561. | exponents |
11,443 | exponents | easy | What is 5^2? | 25 | 5^2 means multiply 5 by itself 2 times: 5*5 = 25. | exponents |
11,444 | calculus | medium | What is the derivative of 5x^8 with respect to x? | 40x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^8] = 5*8*x^7 = 40x^7. | derivative |
11,445 | number_theory | medium | What is the LCM (least common multiple) of 77 and 35? | 385 | LCM = |77*35| / GCD(77,35). GCD=7, so LCM=2695/7=385. | lcm |
11,446 | arithmetic | easy | What is 23 * 95? | 2185 | Multiply: 23 * 95 = 2185. | basic_operations |
11,447 | 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 |
11,448 | 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 |
11,449 | percentages | easy | What is 62% of 863? | 535.06 | Calculate 62/100 * 863 = 0.62*863 = 535.06. | percentages |
11,450 | number_theory | medium | What is the LCM (least common multiple) of 47 and 82? | 3854 | LCM = |47*82| / GCD(47,82). GCD=1, so LCM=3854/1=3854. | lcm |
11,451 | arithmetic | easy | What is 32 * 70? | 2240 | Multiply: 32 * 70 = 2240. | basic_operations |
11,452 | arithmetic | easy | What is 896 - 14? | 882 | Subtract: 896 - 14 = 882. | basic_operations |
11,453 | arithmetic | easy | What is 25 * 15? | 375 | Multiply: 25 * 15 = 375. | basic_operations |
11,454 | algebra | easy | Solve for x: 4x + 30 = -34 | -16 | Subtract 30 from both sides: 4x = -34-30=-64. Then divide by 4: x = -64/4 = -16. | linear_equation |
11,455 | percentages | easy | What is 99% of 372? | 368.28 | Calculate 99/100 * 372 = 0.99*372 = 368.28. | percentages |
11,456 | arithmetic | easy | What is 290 + 198 * 27? Remember order of operations. | 5636 | Order of operations (PEMDAS): first 198*27=5346, then 290+5346=5636. | basic_operations |
11,457 | number_theory | medium | What is the LCM (least common multiple) of 87 and 54? | 1566 | LCM = |87*54| / GCD(87,54). GCD=3, so LCM=4698/3=1566. | lcm |
11,458 | geometry | easy | Find the area of a rectangle with length 15 and width 7. | 105 | Area = length * width = 15*7 = 105. | rectangle_area |
11,459 | arithmetic | easy | What is 320 + 416? | 736 | Add the two numbers: 320 + 416 = 736. | basic_operations |
11,460 | fractions | medium | What is 7/12 - 6/2? Give as simplified fraction. | -29/12 | Common denominator 24. Numerator 14-72=-58. So -58/24 simplifies to -29/12. | fraction_operations |
11,461 | algebra | medium | Solve for x: x^2 + 3x - 10 = 0 | x = -5, 2 | Factor: (x - -5)(x - 2) = x^2 -(-3)x + -10 = 0. So x = -5 or 2. Check sum = -3, product = -10. | quadratic |
11,462 | arithmetic | easy | What is 704 + 581? | 1285 | Add the two numbers: 704 + 581 = 1285. | basic_operations |
11,463 | geometry | easy | Find the perimeter of a rectangle with length 98 and width 50. | 296 | Perimeter = 2*(length+width) = 2*(98+50) = 2*148 = 296. | rectangle_perim |
11,464 | 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 |
11,465 | percentages | easy | What is 15% of 389? | 58.35 | Calculate 15/100 * 389 = 0.15*389 = 58.35. | percentages |
11,466 | arithmetic | easy | What is 1053 / 39? | 27 | Divide: 1053 ÷ 39 = 27 because 39*27=1053. | division |
11,467 | fractions | medium | What is 4/2 + 3/17? Give as simplified fraction. | 37/17 | Common denominator 2*17=34. 4/2=68/34, 3/17=6/34. Sum = 74/34 = 37/17 simplified. | fraction_operations |
11,468 | word_problems | easy | If you have 20 pencils and you buy 39 more pencils, how many pencils do you have in total? | 59 | Add initial 20 plus bought 39: 20+39=59. | addition_word |
11,469 | exponents | easy | What is 7^5? | 16807 | 7^5 means multiply 7 by itself 5 times: 7*7*7*7*7 = 16807. | exponents |
11,470 | geometry | easy | Find the area of a rectangle with length 43 and width 98. | 4214 | Area = length * width = 43*98 = 4214. | rectangle_area |
11,471 | arithmetic | easy | What is 26939 / 79? | 341 | Divide: 26939 ÷ 79 = 341 because 79*341=26939. | division |
11,472 | arithmetic | easy | What is 2 * 1? | 2 | Multiply: 2 * 1 = 2. | basic_operations |
11,473 | roots | easy | What is the square root of 729? | 27 | Find number that when squared gives 729. 27*27=729, so sqrt(729)=27. | square_roots |
11,474 | word_problems | easy | If you have 34 dollars and you buy 41 more dollars, how many dollars do you have in total? | 75 | Add initial 34 plus bought 41: 34+41=75. | addition_word |
11,475 | algebra | medium | Solve for x: x^2 - 9 = 0 | x = 3, -3 | Factor: (x - 3)(x - -3) = x^2 -(0)x + -9 = 0. So x = 3 or -3. Check sum = 0, product = -9. | quadratic |
11,476 | number_theory | medium | What is the GCD (greatest common divisor) of 77 and 48? | 1 | Find greatest number dividing both 77 and 48. Divisors common, greatest is 1. | gcd |
11,477 | statistics | easy | What is the mean (average) of 31, 47, 24, 34? | 34 | Mean = sum/count. Sum = 31+47+24+34=136. Count=4. Mean=136/4=34.0. | mean |
11,478 | arithmetic | easy | What is 10688 / 32? | 334 | Divide: 10688 ÷ 32 = 334 because 32*334=10688. | division |
11,479 | algebra | easy | Solve for x: 6x + 17 = 41 | 4 | Subtract 17 from both sides: 6x = 41-17=24. Then divide by 6: x = 24/6 = 4. | linear_equation |
11,480 | statistics | easy | What is the mean (average) of 7, 51, 54? | 37.33 | Mean = sum/count. Sum = 7+51+54=112. Count=3. Mean=112/3=37.33. | mean |
11,481 | 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 |
11,482 | 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 |
11,483 | algebra | medium | Solve for x: x^2 - 7x - 8 = 0 | x = -1, 8 | Factor: (x - -1)(x - 8) = x^2 -(7)x + -8 = 0. So x = -1 or 8. Check sum = 7, product = -8. | quadratic |
11,484 | algebra | medium | Solve for x: x^2 + 3x - 4 = 0 | x = -4, 1 | Factor: (x - -4)(x - 1) = x^2 -(-3)x + -4 = 0. So x = -4 or 1. Check sum = -3, product = -4. | quadratic |
11,485 | word_problems | easy | If you have 61 dollars and you buy 29 more dollars, how many dollars do you have in total? | 90 | Add initial 61 plus bought 29: 61+29=90. | addition_word |
11,486 | arithmetic | easy | What is 681 + 309? | 990 | Add the two numbers: 681 + 309 = 990. | basic_operations |
11,487 | arithmetic | easy | What is 511 + 346 * 25? Remember order of operations. | 9161 | Order of operations (PEMDAS): first 346*25=8650, then 511+8650=9161. | basic_operations |
11,488 | statistics | easy | What is the mean (average) of 80, 80, 64, 89, 87? | 80 | Mean = sum/count. Sum = 80+80+64+89+87=400. Count=5. Mean=400/5=80.0. | mean |
11,489 | number_theory | medium | What is the GCD (greatest common divisor) of 21 and 51? | 3 | Find greatest number dividing both 21 and 51. Divisors common, greatest is 3. | gcd |
11,490 | roots | easy | What is the square root of 1156? | 34 | Find number that when squared gives 1156. 34*34=1156, so sqrt(1156)=34. | square_roots |
11,491 | word_problems | easy | If you have 71 pencils and you buy 40 more pencils, how many pencils do you have in total? | 111 | Add initial 71 plus bought 40: 71+40=111. | addition_word |
11,492 | arithmetic | easy | What is 22154 / 53? | 418 | Divide: 22154 ÷ 53 = 418 because 53*418=22154. | division |
11,493 | arithmetic | easy | What is 31374 / 63? | 498 | Divide: 31374 ÷ 63 = 498 because 63*498=31374. | division |
11,494 | arithmetic | easy | What is 455 / 13? | 35 | Divide: 455 ÷ 13 = 35 because 13*35=455. | division |
11,495 | geometry | easy | Find the area of a rectangle with length 21 and width 38. | 798 | Area = length * width = 21*38 = 798. | rectangle_area |
11,496 | exponents | easy | What is 7^4? | 2401 | 7^4 means multiply 7 by itself 4 times: 7*7*7*7 = 2401. | exponents |
11,497 | 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 |
11,498 | fractions | medium | What is 3/8 * 15/4? Give as simplified fraction. | 45/32 | Multiply numerators: 3*15=45. Denominators: 8*4=32. Simplify by gcd 1 to get 45/32. | fraction_operations |
11,499 | statistics | easy | What is the mean (average) of 34, 12, 74, 1, 88? | 41.8 | Mean = sum/count. Sum = 34+12+74+1+88=209. Count=5. Mean=209/5=41.8. | mean |
11,500 | 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 |
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