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 |
|---|---|---|---|---|---|---|
731,401 | statistics | easy | What is the mean (average) of 31, 39, 84, 64? | 54.5 | Mean = sum/count. Sum = 31+39+84+64=218. Count=4. Mean=218/4=54.5. | mean |
731,402 | arithmetic | easy | What is 21021 / 77? | 273 | Divide: 21021 ÷ 77 = 273 because 77*273=21021. | division |
731,403 | algebra | medium | Solve for x: x^2 - 3x - 40 = 0 | x = 8, -5 | Factor: (x - 8)(x - -5) = x^2 -(3)x + -40 = 0. So x = 8 or -5. Check sum = 3, product = -40. | quadratic |
731,404 | geometry | easy | Find the perimeter of a rectangle with length 38 and width 22. | 120 | Perimeter = 2*(length+width) = 2*(38+22) = 2*60 = 120. | rectangle_perim |
731,405 | calculus | medium | What is the derivative of 5x^5 with respect to x? | 25x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^5] = 5*5*x^4 = 25x^4. | derivative |
731,406 | algebra | easy | Solve for x: 18x + 13 = -275 | -16 | Subtract 13 from both sides: 18x = -275-13=-288. Then divide by 18: x = -288/18 = -16. | linear_equation |
731,407 | arithmetic | easy | What is 21840 / 48? | 455 | Divide: 21840 ÷ 48 = 455 because 48*455=21840. | division |
731,408 | percentages | easy | What is 34% of 942? | 320.28 | Calculate 34/100 * 942 = 0.34*942 = 320.28. | percentages |
731,409 | number_theory | medium | What is the GCD (greatest common divisor) of 13 and 84? | 1 | Find greatest number dividing both 13 and 84. Divisors common, greatest is 1. | gcd |
731,410 | algebra | medium | Solve for x: x^2 + 8x + 7 = 0 | x = -1, -7 | Factor: (x - -1)(x - -7) = x^2 -(-8)x + 7 = 0. So x = -1 or -7. Check sum = -8, product = 7. | quadratic |
731,411 | fractions | medium | What is 17/11 - 7/12? Give as simplified fraction. | 127/132 | Common denominator 132. Numerator 204-77=127. So 127/132 simplifies to 127/132. | fraction_operations |
731,412 | algebra | medium | Solve for x: x^2 - 25 = 0 | x = 5, -5 | Factor: (x - 5)(x - -5) = x^2 -(0)x + -25 = 0. So x = 5 or -5. Check sum = 0, product = -25. | quadratic |
731,413 | algebra | easy | Solve for x: 2x - 36 = -16 | 10 | Add 36 to both sides: 2x = -16+36=20. Then x = 20/2 = 10. | linear_equation |
731,414 | statistics | easy | What is the mean (average) of 22, 69, 16, 37? | 36 | Mean = sum/count. Sum = 22+69+16+37=144. Count=4. Mean=144/4=36.0. | mean |
731,415 | arithmetic | easy | What is 19963 divided by 85? Give answer to 2 decimal places. | 234.86 | Calculate 19963/ 85 = 234.8588, rounded to 2 decimals is 234.86. | division |
731,416 | percentages | easy | What is 94% of 262? | 246.28 | Calculate 94/100 * 262 = 0.94*262 = 246.28. | percentages |
731,417 | word_problems | easy | If you have 92 pencils and you buy 29 more pencils, how many pencils do you have in total? | 121 | Add initial 92 plus bought 29: 92+29=121. | addition_word |
731,418 | arithmetic | easy | What is 54 + 396 * 28? Remember order of operations. | 11142 | Order of operations (PEMDAS): first 396*28=11088, then 54+11088=11142. | basic_operations |
731,419 | percentages | easy | What is 54% of 806? | 435.24 | Calculate 54/100 * 806 = 0.54*806 = 435.24. | percentages |
731,420 | 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 |
731,421 | arithmetic | easy | What is 765 - 685? | 80 | Subtract: 765 - 685 = 80. | basic_operations |
731,422 | arithmetic | easy | What is 55 * 53? | 2915 | Multiply: 55 * 53 = 2915. | basic_operations |
731,423 | statistics | easy | What is the mean (average) of 70, 76, 50, 13, 98? | 61.4 | Mean = sum/count. Sum = 70+76+50+13+98=307. Count=5. Mean=307/5=61.4. | mean |
731,424 | arithmetic | easy | What is 899 + 230 * 62? Remember order of operations. | 15159 | Order of operations (PEMDAS): first 230*62=14260, then 899+14260=15159. | basic_operations |
731,425 | arithmetic | easy | What is 68 + 82 * 85? Remember order of operations. | 7038 | Order of operations (PEMDAS): first 82*85=6970, then 68+6970=7038. | basic_operations |
731,426 | fractions | medium | What is 3/13 * 19/12? Give as simplified fraction. | 19/52 | Multiply numerators: 3*19=57. Denominators: 13*12=156. Simplify by gcd 3 to get 19/52. | fraction_operations |
731,427 | algebra | medium | Solve for x: x^2 - 1x - 42 = 0 | x = 7, -6 | Factor: (x - 7)(x - -6) = x^2 -(1)x + -42 = 0. So x = 7 or -6. Check sum = 1, product = -42. | quadratic |
731,428 | algebra | medium | Solve for x: x^2 - 8x + 16 = 0 | x = 4 | Factor as (x - 4)^2 = 0, so root is 4 (double root). Sum of roots = 8, product = 16. | quadratic |
731,429 | fractions | medium | What is 2/17 - 15/4? Give as simplified fraction. | -247/68 | Common denominator 68. Numerator 8-255=-247. So -247/68 simplifies to -247/68. | fraction_operations |
731,430 | arithmetic | easy | What is 971 - 586? | 385 | Subtract: 971 - 586 = 385. | basic_operations |
731,431 | calculus | medium | What is the derivative of 8x^6 with respect to x? | 48x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^6] = 8*6*x^5 = 48x^5. | derivative |
731,432 | arithmetic | easy | What is 6530 divided by 58? Give answer to 2 decimal places. | 112.59 | Calculate 6530/ 58 = 112.5862, rounded to 2 decimals is 112.59. | division |
731,433 | algebra | medium | Solve for x: x^2 - 100 = 0 | x = 10, -10 | Factor: (x - 10)(x - -10) = x^2 -(0)x + -100 = 0. So x = 10 or -10. Check sum = 0, product = -100. | quadratic |
731,434 | fractions | medium | What is 9/12 + 10/5? Give as simplified fraction. | 11/4 | Common denominator 12*5=60. 9/12=45/60, 10/5=120/60. Sum = 165/60 = 11/4 simplified. | fraction_operations |
731,435 | 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 |
731,436 | 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 |
731,437 | word_problems | easy | If you have 63 pencils and you buy 40 more pencils, how many pencils do you have in total? | 103 | Add initial 63 plus bought 40: 63+40=103. | addition_word |
731,438 | exponents | easy | What is 12^4? | 20736 | 12^4 means multiply 12 by itself 4 times: 12*12*12*12 = 20736. | exponents |
731,439 | algebra | easy | Solve for x: 1x - 7 = -9 | -2 | Add 7 to both sides: 1x = -9+7=-2. Then x = -2/1 = -2. | linear_equation |
731,440 | fractions | medium | What is 3/15 + 8/7? Give as simplified fraction. | 47/35 | Common denominator 15*7=105. 3/15=21/105, 8/7=120/105. Sum = 141/105 = 47/35 simplified. | fraction_operations |
731,441 | fractions | medium | What is 10/14 - 11/20? Give as simplified fraction. | 23/140 | Common denominator 280. Numerator 200-154=46. So 46/280 simplifies to 23/140. | fraction_operations |
731,442 | arithmetic | easy | What is 580 - 382? | 198 | Subtract: 580 - 382 = 198. | basic_operations |
731,443 | arithmetic | easy | What is 448 - 134? | 314 | Subtract: 448 - 134 = 314. | basic_operations |
731,444 | statistics | easy | What is the mean (average) of 82, 31, 57, 25? | 48.75 | Mean = sum/count. Sum = 82+31+57+25=195. Count=4. Mean=195/4=48.75. | mean |
731,445 | algebra | easy | Solve for x: 8x + 50 = 202 | 19 | Subtract 50 from both sides: 8x = 202-50=152. Then divide by 8: x = 152/8 = 19. | linear_equation |
731,446 | word_problems | easy | If you have 67 pencils and you buy 21 more pencils, how many pencils do you have in total? | 88 | Add initial 67 plus bought 21: 67+21=88. | addition_word |
731,447 | 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 |
731,448 | 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 |
731,449 | algebra | medium | Solve for x: x^2 - 14x + 45 = 0 | x = 5, 9 | Factor: (x - 5)(x - 9) = x^2 -(14)x + 45 = 0. So x = 5 or 9. Check sum = 14, product = 45. | quadratic |
731,450 | arithmetic | easy | What is 85 * 5? | 425 | Multiply: 85 * 5 = 425. | basic_operations |
731,451 | statistics | easy | What is the mean (average) of 26, 52, 19, 15? | 28 | Mean = sum/count. Sum = 26+52+19+15=112. Count=4. Mean=112/4=28.0. | mean |
731,452 | 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 |
731,453 | arithmetic | easy | What is 12025 / 25? | 481 | Divide: 12025 ÷ 25 = 481 because 25*481=12025. | division |
731,454 | exponents | easy | What is 9^3? | 729 | 9^3 means multiply 9 by itself 3 times: 9*9*9 = 729. | exponents |
731,455 | arithmetic | easy | What is 4478 divided by 93? Give answer to 2 decimal places. | 48.15 | Calculate 4478/ 93 = 48.1505, rounded to 2 decimals is 48.15. | division |
731,456 | fractions | medium | What is 11/10 * 19/7? Give as simplified fraction. | 209/70 | Multiply numerators: 11*19=209. Denominators: 10*7=70. Simplify by gcd 1 to get 209/70. | fraction_operations |
731,457 | statistics | easy | What is the mean (average) of 51, 78, 69, 73, 51? | 64.4 | Mean = sum/count. Sum = 51+78+69+73+51=322. Count=5. Mean=322/5=64.4. | mean |
731,458 | arithmetic | easy | What is 21 + 714? | 735 | Add the two numbers: 21 + 714 = 735. | basic_operations |
731,459 | geometry | easy | Find the area of a triangle with base 32 and height 53. | 848 | Area = 0.5*base*height = 0.5*32*53 = 848. | triangle_area |
731,460 | algebra | medium | Solve for x: x^2 + 9x + 20 = 0 | x = -4, -5 | Factor: (x - -4)(x - -5) = x^2 -(-9)x + 20 = 0. So x = -4 or -5. Check sum = -9, product = 20. | quadratic |
731,461 | number_theory | medium | What is the LCM (least common multiple) of 20 and 87? | 1740 | LCM = |20*87| / GCD(20,87). GCD=1, so LCM=1740/1=1740. | lcm |
731,462 | geometry | easy | Find the perimeter of a rectangle with length 56 and width 91. | 294 | Perimeter = 2*(length+width) = 2*(56+91) = 2*147 = 294. | rectangle_perim |
731,463 | arithmetic | easy | What is 34 * 7? | 238 | Multiply: 34 * 7 = 238. | basic_operations |
731,464 | exponents | easy | What is 7^4? | 2401 | 7^4 means multiply 7 by itself 4 times: 7*7*7*7 = 2401. | exponents |
731,465 | arithmetic | easy | What is 75 / 25? | 3 | Divide: 75 ÷ 25 = 3 because 25*3=75. | division |
731,466 | 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 |
731,467 | statistics | easy | What is the mean (average) of 81, 84, 99? | 88 | Mean = sum/count. Sum = 81+84+99=264. Count=3. Mean=264/3=88.0. | mean |
731,468 | roots | easy | What is the square root of 1936? | 44 | Find number that when squared gives 1936. 44*44=1936, so sqrt(1936)=44. | square_roots |
731,469 | 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 |
731,470 | statistics | easy | What is the mean (average) of 3, 76, 63, 52, 13? | 41.4 | Mean = sum/count. Sum = 3+76+63+52+13=207. Count=5. Mean=207/5=41.4. | mean |
731,471 | exponents | easy | What is 6^5? | 7776 | 6^5 means multiply 6 by itself 5 times: 6*6*6*6*6 = 7776. | exponents |
731,472 | calculus | medium | What is the derivative of 4x^2 with respect to x? | 8x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^2] = 4*2*x^1 = 8x. | derivative |
731,473 | algebra | easy | Solve for x: 5x - 29 = 31 | 12 | Add 29 to both sides: 5x = 31+29=60. Then x = 60/5 = 12. | linear_equation |
731,474 | number_theory | medium | What is the GCD (greatest common divisor) of 54 and 6? | 6 | Find greatest number dividing both 54 and 6. Divisors common, greatest is 6. | gcd |
731,475 | arithmetic | easy | What is 768 - 25? | 743 | Subtract: 768 - 25 = 743. | basic_operations |
731,476 | arithmetic | easy | What is 891 + 801? | 1692 | Add the two numbers: 891 + 801 = 1692. | basic_operations |
731,477 | arithmetic | easy | What is 842 + 998? | 1840 | Add the two numbers: 842 + 998 = 1840. | basic_operations |
731,478 | exponents | easy | What is 10^2? | 100 | 10^2 means multiply 10 by itself 2 times: 10*10 = 100. | exponents |
731,479 | 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 |
731,480 | percentages | easy | What is 40% of 89? | 35.6 | Calculate 40/100 * 89 = 0.4*89 = 35.6. | percentages |
731,481 | 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 |
731,482 | 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 |
731,483 | arithmetic | easy | What is 51 * 13? | 663 | Multiply: 51 * 13 = 663. | basic_operations |
731,484 | arithmetic | easy | What is 954 + 406? | 1360 | Add the two numbers: 954 + 406 = 1360. | basic_operations |
731,485 | percentages | easy | What is 42% of 4? | 1.68 | Calculate 42/100 * 4 = 0.42*4 = 1.68. | percentages |
731,486 | 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 |
731,487 | algebra | easy | Solve for x: 17x - 13 = 55 | 4 | Add 13 to both sides: 17x = 55+13=68. Then x = 68/17 = 4. | linear_equation |
731,488 | arithmetic | easy | What is 999 + 678? | 1677 | Add the two numbers: 999 + 678 = 1677. | basic_operations |
731,489 | percentages | easy | What is 67% of 415? | 278.05 | Calculate 67/100 * 415 = 0.67*415 = 278.05. | percentages |
731,490 | algebra | easy | Solve for x: 19x + 0 = -171 | -9 | Subtract 0 from both sides: 19x = -171-0=-171. Then divide by 19: x = -171/19 = -9. | linear_equation |
731,491 | 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 |
731,492 | word_problems | easy | If you have 89 candies and you buy 41 more candies, how many candies do you have in total? | 130 | Add initial 89 plus bought 41: 89+41=130. | addition_word |
731,493 | 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 |
731,494 | statistics | easy | What is the mean (average) of 77, 2, 42, 45? | 41.5 | Mean = sum/count. Sum = 77+2+42+45=166. Count=4. Mean=166/4=41.5. | mean |
731,495 | arithmetic | easy | What is 73 * 83? | 6059 | Multiply: 73 * 83 = 6059. | basic_operations |
731,496 | arithmetic | easy | What is 479 + 704? | 1183 | Add the two numbers: 479 + 704 = 1183. | basic_operations |
731,497 | fractions | medium | What is 9/9 + 6/5? Give as simplified fraction. | 11/5 | Common denominator 9*5=45. 9/9=45/45, 6/5=54/45. Sum = 99/45 = 11/5 simplified. | fraction_operations |
731,498 | statistics | easy | What is the mean (average) of 69, 21, 13, 6, 90? | 39.8 | Mean = sum/count. Sum = 69+21+13+6+90=199. Count=5. Mean=199/5=39.8. | mean |
731,499 | number_theory | medium | What is the GCD (greatest common divisor) of 12 and 91? | 1 | Find greatest number dividing both 12 and 91. Divisors common, greatest is 1. | gcd |
731,500 | algebra | easy | Solve for x: 14x + 20 = -204 | -16 | Subtract 20 from both sides: 14x = -204-20=-224. Then divide by 14: x = -224/14 = -16. | linear_equation |
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