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 |
|---|---|---|---|---|---|---|
11,301 | arithmetic | easy | What is 809 - 479? | 330 | Subtract: 809 - 479 = 330. | basic_operations |
11,302 | arithmetic | easy | What is 10335 / 53? | 195 | Divide: 10335 ÷ 53 = 195 because 53*195=10335. | division |
11,303 | 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 |
11,304 | arithmetic | easy | What is 2288 / 13? | 176 | Divide: 2288 ÷ 13 = 176 because 13*176=2288. | division |
11,305 | calculus | medium | What is the derivative of 2x^5 with respect to x? | 10x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^5] = 2*5*x^4 = 10x^4. | derivative |
11,306 | percentages | easy | What is 83% of 292? | 242.36 | Calculate 83/100 * 292 = 0.83*292 = 242.36. | percentages |
11,307 | arithmetic | easy | What is 84 + 46 * 57? Remember order of operations. | 2706 | Order of operations (PEMDAS): first 46*57=2622, then 84+2622=2706. | basic_operations |
11,308 | arithmetic | easy | What is 893 - 850? | 43 | Subtract: 893 - 850 = 43. | basic_operations |
11,309 | arithmetic | easy | What is 18 * 17? | 306 | Multiply: 18 * 17 = 306. | basic_operations |
11,310 | arithmetic | easy | What is 88 * 5? | 440 | Multiply: 88 * 5 = 440. | basic_operations |
11,311 | calculus | medium | What is the derivative of 10x^4 with respect to x? | 40x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^4] = 10*4*x^3 = 40x^3. | derivative |
11,312 | exponents | easy | What is 11^3? | 1331 | 11^3 means multiply 11 by itself 3 times: 11*11*11 = 1331. | exponents |
11,313 | roots | easy | What is the square root of 784? | 28 | Find number that when squared gives 784. 28*28=784, so sqrt(784)=28. | square_roots |
11,314 | number_theory | medium | What is the GCD (greatest common divisor) of 95 and 90? | 5 | Find greatest number dividing both 95 and 90. Divisors common, greatest is 5. | gcd |
11,315 | percentages | easy | What is 84% of 404? | 339.36 | Calculate 84/100 * 404 = 0.84*404 = 339.36. | percentages |
11,316 | fractions | medium | What is 18/8 - 13/11? Give as simplified fraction. | 47/44 | Common denominator 88. Numerator 198-104=94. So 94/88 simplifies to 47/44. | fraction_operations |
11,317 | algebra | easy | Solve for x: 6x - 12 = 6 | 3 | Add 12 to both sides: 6x = 6+12=18. Then x = 18/6 = 3. | linear_equation |
11,318 | 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 |
11,319 | arithmetic | easy | What is 1280 / 64? | 20 | Divide: 1280 ÷ 64 = 20 because 64*20=1280. | division |
11,320 | percentages | easy | What is 45% of 67? | 30.15 | Calculate 45/100 * 67 = 0.45*67 = 30.15. | percentages |
11,321 | exponents | easy | What is 12^3? | 1728 | 12^3 means multiply 12 by itself 3 times: 12*12*12 = 1728. | exponents |
11,322 | 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 |
11,323 | 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 |
11,324 | percentages | easy | What is 86% of 623? | 535.78 | Calculate 86/100 * 623 = 0.86*623 = 535.78. | percentages |
11,325 | arithmetic | easy | What is 789 + 42 * 94? Remember order of operations. | 4737 | Order of operations (PEMDAS): first 42*94=3948, then 789+3948=4737. | basic_operations |
11,326 | fractions | medium | What is 19/19 * 1/10? Give as simplified fraction. | 1/10 | Multiply numerators: 19*1=19. Denominators: 19*10=190. Simplify by gcd 19 to get 1/10. | fraction_operations |
11,327 | 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 |
11,328 | algebra | medium | Solve for x: x^2 + 7x = 0 | x = 0, -7 | Factor: (x - 0)(x - -7) = x^2 -(-7)x + 0 = 0. So x = 0 or -7. Check sum = -7, product = 0. | quadratic |
11,329 | exponents | easy | What is 2^5? | 32 | 2^5 means multiply 2 by itself 5 times: 2*2*2*2*2 = 32. | exponents |
11,330 | arithmetic | easy | What is 21607 divided by 96? Give answer to 2 decimal places. | 225.07 | Calculate 21607/ 96 = 225.0729, rounded to 2 decimals is 225.07. | division |
11,331 | fractions | medium | What is 3/17 * 1/20? Give as simplified fraction. | 3/340 | Multiply numerators: 3*1=3. Denominators: 17*20=340. Simplify by gcd 1 to get 3/340. | fraction_operations |
11,332 | arithmetic | easy | What is 25844 / 52? | 497 | Divide: 25844 ÷ 52 = 497 because 52*497=25844. | division |
11,333 | percentages | easy | What is 3% of 236? | 7.08 | Calculate 3/100 * 236 = 0.03*236 = 7.08. | percentages |
11,334 | exponents | easy | What is 8^2? | 64 | 8^2 means multiply 8 by itself 2 times: 8*8 = 64. | exponents |
11,335 | algebra | medium | Solve for x: x^2 - 49 = 0 | x = 7, -7 | Factor: (x - 7)(x - -7) = x^2 -(0)x + -49 = 0. So x = 7 or -7. Check sum = 0, product = -49. | quadratic |
11,336 | number_theory | medium | What is the LCM (least common multiple) of 7 and 13? | 91 | LCM = |7*13| / GCD(7,13). GCD=1, so LCM=91/1=91. | lcm |
11,337 | geometry | easy | Find the area of a circle with radius 17. Use pi=3.14159, round to 2 decimals. | 907.92 | Area = pi*r^2 = 3.14159*17^2 = 3.14159*289 = 907.92. | circle_area |
11,338 | 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 |
11,339 | algebra | easy | Solve for x: 12x + 6 = -66 | -6 | Subtract 6 from both sides: 12x = -66-6=-72. Then divide by 12: x = -72/12 = -6. | linear_equation |
11,340 | arithmetic | easy | What is 9324 / 21? | 444 | Divide: 9324 ÷ 21 = 444 because 21*444=9324. | division |
11,341 | 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 |
11,342 | algebra | easy | Solve for x: 15x + 1 = 256 | 17 | Subtract 1 from both sides: 15x = 256-1=255. Then divide by 15: x = 255/15 = 17. | linear_equation |
11,343 | word_problems | easy | If you have 55 books and you buy 12 more books, how many books do you have in total? | 67 | Add initial 55 plus bought 12: 55+12=67. | addition_word |
11,344 | number_theory | medium | What is the LCM (least common multiple) of 64 and 96? | 192 | LCM = |64*96| / GCD(64,96). GCD=32, so LCM=6144/32=192. | lcm |
11,345 | statistics | easy | What is the mean (average) of 47, 5, 72, 8? | 33 | Mean = sum/count. Sum = 47+5+72+8=132. Count=4. Mean=132/4=33.0. | mean |
11,346 | word_problems | easy | If you have 20 books and you buy 30 more books, how many books do you have in total? | 50 | Add initial 20 plus bought 30: 20+30=50. | addition_word |
11,347 | percentages | easy | What is 12% of 777? | 93.24 | Calculate 12/100 * 777 = 0.12*777 = 93.24. | percentages |
11,348 | 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 |
11,349 | statistics | easy | What is the mean (average) of 55, 5, 36? | 32 | Mean = sum/count. Sum = 55+5+36=96. Count=3. Mean=96/3=32.0. | mean |
11,350 | algebra | medium | Solve for x: x^2 + 6x - 16 = 0 | x = 2, -8 | Factor: (x - 2)(x - -8) = x^2 -(-6)x + -16 = 0. So x = 2 or -8. Check sum = -6, product = -16. | quadratic |
11,351 | geometry | easy | Find the area of a circle with radius 29. Use pi=3.14159, round to 2 decimals. | 2642.08 | Area = pi*r^2 = 3.14159*29^2 = 3.14159*841 = 2642.08. | circle_area |
11,352 | arithmetic | easy | What is 919 + 428? | 1347 | Add the two numbers: 919 + 428 = 1347. | basic_operations |
11,353 | geometry | easy | Find the area of a rectangle with length 48 and width 24. | 1152 | Area = length * width = 48*24 = 1152. | rectangle_area |
11,354 | 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 |
11,355 | exponents | easy | What is 7^3? | 343 | 7^3 means multiply 7 by itself 3 times: 7*7*7 = 343. | exponents |
11,356 | 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 |
11,357 | exponents | easy | What is 7^4? | 2401 | 7^4 means multiply 7 by itself 4 times: 7*7*7*7 = 2401. | exponents |
11,358 | arithmetic | easy | What is 676 + 690? | 1366 | Add the two numbers: 676 + 690 = 1366. | basic_operations |
11,359 | word_problems | easy | If you have 76 dollars and you buy 3 more dollars, how many dollars do you have in total? | 79 | Add initial 76 plus bought 3: 76+3=79. | addition_word |
11,360 | statistics | easy | What is the mean (average) of 18, 3, 78, 25? | 31 | Mean = sum/count. Sum = 18+3+78+25=124. Count=4. Mean=124/4=31.0. | mean |
11,361 | fractions | medium | What is 15/9 - 20/14? Give as simplified fraction. | 5/21 | Common denominator 126. Numerator 210-180=30. So 30/126 simplifies to 5/21. | fraction_operations |
11,362 | 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 |
11,363 | statistics | easy | What is the mean (average) of 54, 1, 91, 63, 37? | 49.2 | Mean = sum/count. Sum = 54+1+91+63+37=246. Count=5. Mean=246/5=49.2. | mean |
11,364 | arithmetic | easy | What is 9184 / 41? | 224 | Divide: 9184 ÷ 41 = 224 because 41*224=9184. | division |
11,365 | arithmetic | easy | What is 16 * 25? | 400 | Multiply: 16 * 25 = 400. | basic_operations |
11,366 | exponents | easy | What is 4^4? | 256 | 4^4 means multiply 4 by itself 4 times: 4*4*4*4 = 256. | exponents |
11,367 | number_theory | medium | What is the GCD (greatest common divisor) of 44 and 50? | 2 | Find greatest number dividing both 44 and 50. Divisors common, greatest is 2. | gcd |
11,368 | fractions | medium | What is 5/15 + 5/4? Give as simplified fraction. | 19/12 | Common denominator 15*4=60. 5/15=20/60, 5/4=75/60. Sum = 95/60 = 19/12 simplified. | fraction_operations |
11,369 | geometry | easy | Find the area of a rectangle with length 89 and width 47. | 4183 | Area = length * width = 89*47 = 4183. | rectangle_area |
11,370 | number_theory | medium | What is the LCM (least common multiple) of 10 and 2? | 10 | LCM = |10*2| / GCD(10,2). GCD=2, so LCM=20/2=10. | lcm |
11,371 | geometry | easy | Find the perimeter of a rectangle with length 81 and width 47. | 256 | Perimeter = 2*(length+width) = 2*(81+47) = 2*128 = 256. | rectangle_perim |
11,372 | algebra | easy | Solve for x: 16x - 7 = -327 | -20 | Add 7 to both sides: 16x = -327+7=-320. Then x = -320/16 = -20. | linear_equation |
11,373 | number_theory | medium | What is the GCD (greatest common divisor) of 52 and 70? | 2 | Find greatest number dividing both 52 and 70. Divisors common, greatest is 2. | gcd |
11,374 | geometry | easy | Find the area of a triangle with base 23 and height 90. | 1035 | Area = 0.5*base*height = 0.5*23*90 = 1035. | triangle_area |
11,375 | arithmetic | easy | What is 450 + 161 * 61? Remember order of operations. | 10271 | Order of operations (PEMDAS): first 161*61=9821, then 450+9821=10271. | basic_operations |
11,376 | fractions | medium | What is 7/11 * 2/7? Give as simplified fraction. | 2/11 | Multiply numerators: 7*2=14. Denominators: 11*7=77. Simplify by gcd 7 to get 2/11. | fraction_operations |
11,377 | fractions | medium | What is 16/18 + 4/9? Give as simplified fraction. | 4/3 | Common denominator 18*9=162. 16/18=144/162, 4/9=72/162. Sum = 216/162 = 4/3 simplified. | fraction_operations |
11,378 | 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 |
11,379 | 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 |
11,380 | percentages | easy | What is 20% of 900? | 180 | Calculate 20/100 * 900 = 0.2*900 = 180. | percentages |
11,381 | 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 |
11,382 | word_problems | easy | If you have 62 candies and you buy 47 more candies, how many candies do you have in total? | 109 | Add initial 62 plus bought 47: 62+47=109. | addition_word |
11,383 | word_problems | easy | If you have 42 pencils and you buy 28 more pencils, how many pencils do you have in total? | 70 | Add initial 42 plus bought 28: 42+28=70. | addition_word |
11,384 | 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 |
11,385 | arithmetic | easy | What is 24738 divided by 76? Give answer to 2 decimal places. | 325.5 | Calculate 24738/ 76 = 325.5000, rounded to 2 decimals is 325.5. | division |
11,386 | word_problems | easy | If you have 86 candies and you buy 46 more candies, how many candies do you have in total? | 132 | Add initial 86 plus bought 46: 86+46=132. | addition_word |
11,387 | exponents | easy | What is 11^3? | 1331 | 11^3 means multiply 11 by itself 3 times: 11*11*11 = 1331. | exponents |
11,388 | exponents | easy | What is 6^3? | 216 | 6^3 means multiply 6 by itself 3 times: 6*6*6 = 216. | exponents |
11,389 | arithmetic | easy | What is 428 - 207? | 221 | Subtract: 428 - 207 = 221. | basic_operations |
11,390 | statistics | easy | What is the mean (average) of 94, 97, 52? | 81 | Mean = sum/count. Sum = 94+97+52=243. Count=3. Mean=243/3=81.0. | mean |
11,391 | 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 |
11,392 | geometry | easy | Find the area of a triangle with base 1 and height 88. | 44 | Area = 0.5*base*height = 0.5*1*88 = 44. | triangle_area |
11,393 | roots | easy | What is the square root of 225? | 15 | Find number that when squared gives 225. 15*15=225, so sqrt(225)=15. | square_roots |
11,394 | calculus | medium | What is the derivative of 7x^7 with respect to x? | 49x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^7] = 7*7*x^6 = 49x^6. | derivative |
11,395 | word_problems | easy | If you have 87 books and you buy 33 more books, how many books do you have in total? | 120 | Add initial 87 plus bought 33: 87+33=120. | addition_word |
11,396 | algebra | medium | Solve for x: x^2 + 13x + 36 = 0 | x = -9, -4 | Factor: (x - -9)(x - -4) = x^2 -(-13)x + 36 = 0. So x = -9 or -4. Check sum = -13, product = 36. | quadratic |
11,397 | arithmetic | easy | What is 100 * 27? | 2700 | Multiply: 100 * 27 = 2700. | basic_operations |
11,398 | statistics | easy | What is the mean (average) of 77, 2, 44, 32? | 38.75 | Mean = sum/count. Sum = 77+2+44+32=155. Count=4. Mean=155/4=38.75. | mean |
11,399 | exponents | easy | What is 2^3? | 8 | 2^3 means multiply 2 by itself 3 times: 2*2*2 = 8. | exponents |
11,400 | percentages | easy | What is 25% of 205? | 51.25 | Calculate 25/100 * 205 = 0.25*205 = 51.25. | percentages |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.