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 |
|---|---|---|---|---|---|---|
8,401 | arithmetic | easy | What is 448 + 699? | 1147 | Add the two numbers: 448 + 699 = 1147. | basic_operations |
8,402 | 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 |
8,403 | fractions | medium | What is 13/12 * 3/7? Give as simplified fraction. | 13/28 | Multiply numerators: 13*3=39. Denominators: 12*7=84. Simplify by gcd 3 to get 13/28. | fraction_operations |
8,404 | roots | easy | What is the square root of 529? | 23 | Find number that when squared gives 529. 23*23=529, so sqrt(529)=23. | square_roots |
8,405 | roots | easy | What is the square root of 36? | 6 | Find number that when squared gives 36. 6*6=36, so sqrt(36)=6. | square_roots |
8,406 | arithmetic | easy | What is 19 + 980 * 47? Remember order of operations. | 46079 | Order of operations (PEMDAS): first 980*47=46060, then 19+46060=46079. | basic_operations |
8,407 | arithmetic | easy | What is 12636 / 81? | 156 | Divide: 12636 ÷ 81 = 156 because 81*156=12636. | division |
8,408 | algebra | easy | Solve for x: 5x + 4 = -41 | -9 | Subtract 4 from both sides: 5x = -41-4=-45. Then divide by 5: x = -45/5 = -9. | linear_equation |
8,409 | fractions | medium | What is 2/2 + 7/15? Give as simplified fraction. | 22/15 | Common denominator 2*15=30. 2/2=30/30, 7/15=14/30. Sum = 44/30 = 22/15 simplified. | fraction_operations |
8,410 | word_problems | easy | If you have 22 books and you buy 9 more books, how many books do you have in total? | 31 | Add initial 22 plus bought 9: 22+9=31. | addition_word |
8,411 | roots | easy | What is the square root of 9? | 3 | Find number that when squared gives 9. 3*3=9, so sqrt(9)=3. | square_roots |
8,412 | algebra | easy | Solve for x: 17x - 21 = -361 | -20 | Add 21 to both sides: 17x = -361+21=-340. Then x = -340/17 = -20. | linear_equation |
8,413 | fractions | medium | What is 9/6 - 9/8? Give as simplified fraction. | 3/8 | Common denominator 48. Numerator 72-54=18. So 18/48 simplifies to 3/8. | fraction_operations |
8,414 | 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 |
8,415 | arithmetic | easy | What is 22401 / 57? | 393 | Divide: 22401 ÷ 57 = 393 because 57*393=22401. | division |
8,416 | arithmetic | easy | What is 886 - 621? | 265 | Subtract: 886 - 621 = 265. | basic_operations |
8,417 | percentages | easy | What is 16% of 433? | 69.28 | Calculate 16/100 * 433 = 0.16*433 = 69.28. | percentages |
8,418 | 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 |
8,419 | calculus | medium | What is the derivative of 9x^8 with respect to x? | 72x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^8] = 9*8*x^7 = 72x^7. | derivative |
8,420 | statistics | easy | What is the mean (average) of 87, 40, 2, 32, 27? | 37.6 | Mean = sum/count. Sum = 87+40+2+32+27=188. Count=5. Mean=188/5=37.6. | mean |
8,421 | arithmetic | easy | What is 383 + 261 * 36? Remember order of operations. | 9779 | Order of operations (PEMDAS): first 261*36=9396, then 383+9396=9779. | basic_operations |
8,422 | arithmetic | easy | What is 399 + 102 * 56? Remember order of operations. | 6111 | Order of operations (PEMDAS): first 102*56=5712, then 399+5712=6111. | basic_operations |
8,423 | word_problems | easy | If you have 5 pencils and you buy 2 more pencils, how many pencils do you have in total? | 7 | Add initial 5 plus bought 2: 5+2=7. | addition_word |
8,424 | exponents | easy | What is 6^4? | 1296 | 6^4 means multiply 6 by itself 4 times: 6*6*6*6 = 1296. | exponents |
8,425 | arithmetic | easy | What is 13 * 63? | 819 | Multiply: 13 * 63 = 819. | basic_operations |
8,426 | algebra | easy | Solve for x: 19x + 2 = -188 | -10 | Subtract 2 from both sides: 19x = -188-2=-190. Then divide by 19: x = -190/19 = -10. | linear_equation |
8,427 | arithmetic | easy | What is 601 + 133 * 38? Remember order of operations. | 5655 | Order of operations (PEMDAS): first 133*38=5054, then 601+5054=5655. | basic_operations |
8,428 | arithmetic | easy | What is 79 * 53? | 4187 | Multiply: 79 * 53 = 4187. | basic_operations |
8,429 | 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 |
8,430 | fractions | medium | What is 4/12 - 6/12? Give as simplified fraction. | -1/6 | Common denominator 144. Numerator 48-72=-24. So -24/144 simplifies to -1/6. | fraction_operations |
8,431 | algebra | medium | Solve for x: x^2 + 8x + 15 = 0 | x = -3, -5 | Factor: (x - -3)(x - -5) = x^2 -(-8)x + 15 = 0. So x = -3 or -5. Check sum = -8, product = 15. | quadratic |
8,432 | algebra | easy | Solve for x: 18x - 44 = -44 | 0 | Add 44 to both sides: 18x = -44+44=0. Then x = 0/18 = 0. | linear_equation |
8,433 | fractions | medium | What is 15/16 - 10/9? Give as simplified fraction. | -25/144 | Common denominator 144. Numerator 135-160=-25. So -25/144 simplifies to -25/144. | fraction_operations |
8,434 | geometry | easy | Find the area of a rectangle with length 90 and width 92. | 8280 | Area = length * width = 90*92 = 8280. | rectangle_area |
8,435 | exponents | easy | What is 9^5? | 59049 | 9^5 means multiply 9 by itself 5 times: 9*9*9*9*9 = 59049. | exponents |
8,436 | algebra | medium | Solve for x: x^2 + 4x = 0 | x = 0, -4 | Factor: (x - 0)(x - -4) = x^2 -(-4)x + 0 = 0. So x = 0 or -4. Check sum = -4, product = 0. | quadratic |
8,437 | number_theory | medium | What is the GCD (greatest common divisor) of 6 and 99? | 3 | Find greatest number dividing both 6 and 99. Divisors common, greatest is 3. | gcd |
8,438 | arithmetic | easy | What is 119 + 937? | 1056 | Add the two numbers: 119 + 937 = 1056. | basic_operations |
8,439 | roots | easy | What is the square root of 1089? | 33 | Find number that when squared gives 1089. 33*33=1089, so sqrt(1089)=33. | square_roots |
8,440 | 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 |
8,441 | 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 |
8,442 | algebra | medium | Solve for x: x^2 + 7x - 18 = 0 | x = 2, -9 | Factor: (x - 2)(x - -9) = x^2 -(-7)x + -18 = 0. So x = 2 or -9. Check sum = -7, product = -18. | quadratic |
8,443 | percentages | easy | What is 11% of 456? | 50.16 | Calculate 11/100 * 456 = 0.11*456 = 50.16. | percentages |
8,444 | geometry | easy | Find the area of a triangle with base 76 and height 3. | 114 | Area = 0.5*base*height = 0.5*76*3 = 114. | triangle_area |
8,445 | percentages | easy | What is 3% of 261? | 7.83 | Calculate 3/100 * 261 = 0.03*261 = 7.83. | percentages |
8,446 | number_theory | medium | What is the GCD (greatest common divisor) of 69 and 65? | 1 | Find greatest number dividing both 69 and 65. Divisors common, greatest is 1. | gcd |
8,447 | statistics | easy | What is the mean (average) of 70, 56, 9? | 45 | Mean = sum/count. Sum = 70+56+9=135. Count=3. Mean=135/3=45.0. | mean |
8,448 | exponents | easy | What is 4^3? | 64 | 4^3 means multiply 4 by itself 3 times: 4*4*4 = 64. | exponents |
8,449 | percentages | easy | What is 48% of 981? | 470.88 | Calculate 48/100 * 981 = 0.48*981 = 470.88. | percentages |
8,450 | roots | easy | What is the square root of 2025? | 45 | Find number that when squared gives 2025. 45*45=2025, so sqrt(2025)=45. | square_roots |
8,451 | exponents | easy | What is 12^4? | 20736 | 12^4 means multiply 12 by itself 4 times: 12*12*12*12 = 20736. | exponents |
8,452 | algebra | medium | Solve for x: x^2 + 9x = 0 | x = -9, 0 | Factor: (x - -9)(x - 0) = x^2 -(-9)x + 0 = 0. So x = -9 or 0. Check sum = -9, product = 0. | quadratic |
8,453 | number_theory | medium | What is the LCM (least common multiple) of 73 and 53? | 3869 | LCM = |73*53| / GCD(73,53). GCD=1, so LCM=3869/1=3869. | lcm |
8,454 | roots | easy | What is the square root of 841? | 29 | Find number that when squared gives 841. 29*29=841, so sqrt(841)=29. | square_roots |
8,455 | statistics | easy | What is the mean (average) of 78, 12, 14, 88, 25? | 43.4 | Mean = sum/count. Sum = 78+12+14+88+25=217. Count=5. Mean=217/5=43.4. | mean |
8,456 | word_problems | easy | If you have 80 books and you buy 36 more books, how many books do you have in total? | 116 | Add initial 80 plus bought 36: 80+36=116. | addition_word |
8,457 | arithmetic | easy | What is 726 - 313? | 413 | Subtract: 726 - 313 = 413. | basic_operations |
8,458 | algebra | easy | Solve for x: 15x - 18 = -18 | 0 | Add 18 to both sides: 15x = -18+18=0. Then x = 0/15 = 0. | linear_equation |
8,459 | arithmetic | easy | What is 2600 / 13? | 200 | Divide: 2600 ÷ 13 = 200 because 13*200=2600. | division |
8,460 | word_problems | easy | If you have 9 apples and you buy 49 more apples, how many apples do you have in total? | 58 | Add initial 9 plus bought 49: 9+49=58. | addition_word |
8,461 | number_theory | medium | What is the GCD (greatest common divisor) of 85 and 22? | 1 | Find greatest number dividing both 85 and 22. Divisors common, greatest is 1. | gcd |
8,462 | arithmetic | easy | What is 2925 divided by 28? Give answer to 2 decimal places. | 104.46 | Calculate 2925/ 28 = 104.4643, rounded to 2 decimals is 104.46. | division |
8,463 | arithmetic | easy | What is 8 + 938 * 66? Remember order of operations. | 61916 | Order of operations (PEMDAS): first 938*66=61908, then 8+61908=61916. | basic_operations |
8,464 | 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 |
8,465 | arithmetic | easy | What is 74 * 67? | 4958 | Multiply: 74 * 67 = 4958. | basic_operations |
8,466 | percentages | easy | What is 1% of 704? | 7.04 | Calculate 1/100 * 704 = 0.01*704 = 7.04. | percentages |
8,467 | statistics | easy | What is the mean (average) of 50, 14, 95, 15? | 43.5 | Mean = sum/count. Sum = 50+14+95+15=174. Count=4. Mean=174/4=43.5. | mean |
8,468 | percentages | easy | What is 94% of 858? | 806.52 | Calculate 94/100 * 858 = 0.94*858 = 806.52. | percentages |
8,469 | statistics | easy | What is the mean (average) of 77, 17, 60, 14, 82? | 50 | Mean = sum/count. Sum = 77+17+60+14+82=250. Count=5. Mean=250/5=50.0. | mean |
8,470 | roots | easy | What is the square root of 2025? | 45 | Find number that when squared gives 2025. 45*45=2025, so sqrt(2025)=45. | square_roots |
8,471 | 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 |
8,472 | fractions | medium | What is 17/17 * 18/18? Give as simplified fraction. | 1 | Multiply numerators: 17*18=306. Denominators: 17*18=306. Simplify by gcd 306 to get 1. | fraction_operations |
8,473 | number_theory | medium | What is the LCM (least common multiple) of 19 and 66? | 1254 | LCM = |19*66| / GCD(19,66). GCD=1, so LCM=1254/1=1254. | lcm |
8,474 | calculus | medium | What is the derivative of 2x^6 with respect to x? | 12x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^6] = 2*6*x^5 = 12x^5. | derivative |
8,475 | geometry | easy | Find the perimeter of a rectangle with length 74 and width 60. | 268 | Perimeter = 2*(length+width) = 2*(74+60) = 2*134 = 268. | rectangle_perim |
8,476 | calculus | medium | What is the derivative of 4x^7 with respect to x? | 28x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^7] = 4*7*x^6 = 28x^6. | derivative |
8,477 | arithmetic | easy | What is 729 + 932? | 1661 | Add the two numbers: 729 + 932 = 1661. | basic_operations |
8,478 | statistics | easy | What is the mean (average) of 64, 76, 37? | 59 | Mean = sum/count. Sum = 64+76+37=177. Count=3. Mean=177/3=59.0. | mean |
8,479 | exponents | easy | What is 6^4? | 1296 | 6^4 means multiply 6 by itself 4 times: 6*6*6*6 = 1296. | exponents |
8,480 | word_problems | easy | If you have 92 dollars and you buy 42 more dollars, how many dollars do you have in total? | 134 | Add initial 92 plus bought 42: 92+42=134. | addition_word |
8,481 | exponents | easy | What is 6^2? | 36 | 6^2 means multiply 6 by itself 2 times: 6*6 = 36. | exponents |
8,482 | arithmetic | easy | What is 463 + 413? | 876 | Add the two numbers: 463 + 413 = 876. | basic_operations |
8,483 | algebra | easy | Solve for x: 13x + 31 = 44 | 1 | Subtract 31 from both sides: 13x = 44-31=13. Then divide by 13: x = 13/13 = 1. | linear_equation |
8,484 | exponents | easy | What is 12^3? | 1728 | 12^3 means multiply 12 by itself 3 times: 12*12*12 = 1728. | exponents |
8,485 | exponents | easy | What is 9^4? | 6561 | 9^4 means multiply 9 by itself 4 times: 9*9*9*9 = 6561. | exponents |
8,486 | arithmetic | easy | What is 18090 / 90? | 201 | Divide: 18090 ÷ 90 = 201 because 90*201=18090. | division |
8,487 | percentages | easy | What is 44% of 594? | 261.36 | Calculate 44/100 * 594 = 0.44*594 = 261.36. | percentages |
8,488 | fractions | medium | What is 20/18 * 11/20? Give as simplified fraction. | 11/18 | Multiply numerators: 20*11=220. Denominators: 18*20=360. Simplify by gcd 20 to get 11/18. | fraction_operations |
8,489 | arithmetic | easy | What is 74 * 55? | 4070 | Multiply: 74 * 55 = 4070. | basic_operations |
8,490 | roots | easy | What is the square root of 841? | 29 | Find number that when squared gives 841. 29*29=841, so sqrt(841)=29. | square_roots |
8,491 | percentages | easy | What is 87% of 509? | 442.83 | Calculate 87/100 * 509 = 0.87*509 = 442.83. | percentages |
8,492 | 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 |
8,493 | arithmetic | easy | What is 489 - 388? | 101 | Subtract: 489 - 388 = 101. | basic_operations |
8,494 | fractions | medium | What is 10/3 + 16/8? Give as simplified fraction. | 16/3 | Common denominator 3*8=24. 10/3=80/24, 16/8=48/24. Sum = 128/24 = 16/3 simplified. | fraction_operations |
8,495 | word_problems | easy | If you have 88 apples and you buy 43 more apples, how many apples do you have in total? | 131 | Add initial 88 plus bought 43: 88+43=131. | addition_word |
8,496 | word_problems | easy | If you have 64 apples and you buy 25 more apples, how many apples do you have in total? | 89 | Add initial 64 plus bought 25: 64+25=89. | addition_word |
8,497 | fractions | medium | What is 11/2 * 1/17? Give as simplified fraction. | 11/34 | Multiply numerators: 11*1=11. Denominators: 2*17=34. Simplify by gcd 1 to get 11/34. | fraction_operations |
8,498 | fractions | medium | What is 13/20 + 6/6? Give as simplified fraction. | 33/20 | Common denominator 20*6=120. 13/20=78/120, 6/6=120/120. Sum = 198/120 = 33/20 simplified. | fraction_operations |
8,499 | fractions | medium | What is 17/12 + 10/2? Give as simplified fraction. | 77/12 | Common denominator 12*2=24. 17/12=34/24, 10/2=120/24. Sum = 154/24 = 77/12 simplified. | fraction_operations |
8,500 | fractions | medium | What is 14/20 + 19/12? Give as simplified fraction. | 137/60 | Common denominator 20*12=240. 14/20=168/240, 19/12=380/240. Sum = 548/240 = 137/60 simplified. | fraction_operations |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.