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 |
|---|---|---|---|---|---|---|
732,301 | arithmetic | easy | What is 536 + 694? | 1230 | Add the two numbers: 536 + 694 = 1230. | basic_operations |
732,302 | number_theory | medium | What is the GCD (greatest common divisor) of 74 and 68? | 2 | Find greatest number dividing both 74 and 68. Divisors common, greatest is 2. | gcd |
732,303 | number_theory | medium | What is the GCD (greatest common divisor) of 5 and 5? | 5 | Find greatest number dividing both 5 and 5. Divisors common, greatest is 5. | gcd |
732,304 | calculus | medium | What is the derivative of 7x^5 with respect to x? | 35x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^5] = 7*5*x^4 = 35x^4. | derivative |
732,305 | word_problems | easy | If you have 13 candies and you buy 27 more candies, how many candies do you have in total? | 40 | Add initial 13 plus bought 27: 13+27=40. | addition_word |
732,306 | algebra | medium | Solve for x: x^2 + 3x - 18 = 0 | x = 3, -6 | Factor: (x - 3)(x - -6) = x^2 -(-3)x + -18 = 0. So x = 3 or -6. Check sum = -3, product = -18. | quadratic |
732,307 | arithmetic | easy | What is 29799 / 77? | 387 | Divide: 29799 ÷ 77 = 387 because 77*387=29799. | division |
732,308 | algebra | medium | Solve for x: x^2 + 12x + 20 = 0 | x = -10, -2 | Factor: (x - -10)(x - -2) = x^2 -(-12)x + 20 = 0. So x = -10 or -2. Check sum = -12, product = 20. | quadratic |
732,309 | percentages | easy | What is 20% of 917? | 183.4 | Calculate 20/100 * 917 = 0.2*917 = 183.4. | percentages |
732,310 | 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 |
732,311 | arithmetic | easy | What is 322 - 280? | 42 | Subtract: 322 - 280 = 42. | basic_operations |
732,312 | statistics | easy | What is the mean (average) of 67, 94, 13, 43, 51? | 53.6 | Mean = sum/count. Sum = 67+94+13+43+51=268. Count=5. Mean=268/5=53.6. | mean |
732,313 | statistics | easy | What is the mean (average) of 80, 19, 81? | 60 | Mean = sum/count. Sum = 80+19+81=180. Count=3. Mean=180/3=60.0. | mean |
732,314 | word_problems | easy | If you have 54 books and you buy 42 more books, how many books do you have in total? | 96 | Add initial 54 plus bought 42: 54+42=96. | addition_word |
732,315 | arithmetic | easy | What is 847 - 197? | 650 | Subtract: 847 - 197 = 650. | basic_operations |
732,316 | exponents | easy | What is 4^4? | 256 | 4^4 means multiply 4 by itself 4 times: 4*4*4*4 = 256. | exponents |
732,317 | fractions | medium | What is 18/20 + 8/10? Give as simplified fraction. | 17/10 | Common denominator 20*10=200. 18/20=180/200, 8/10=160/200. Sum = 340/200 = 17/10 simplified. | fraction_operations |
732,318 | 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 |
732,319 | algebra | easy | Solve for x: 19x + 35 = -79 | -6 | Subtract 35 from both sides: 19x = -79-35=-114. Then divide by 19: x = -114/19 = -6. | linear_equation |
732,320 | arithmetic | easy | What is 267 + 888? | 1155 | Add the two numbers: 267 + 888 = 1155. | basic_operations |
732,321 | percentages | easy | What is 21% of 664? | 139.44 | Calculate 21/100 * 664 = 0.21*664 = 139.44. | percentages |
732,322 | algebra | medium | Solve for x: x^2 + 1x - 20 = 0 | x = -5, 4 | Factor: (x - -5)(x - 4) = x^2 -(-1)x + -20 = 0. So x = -5 or 4. Check sum = -1, product = -20. | quadratic |
732,323 | word_problems | easy | If you have 46 dollars and you buy 48 more dollars, how many dollars do you have in total? | 94 | Add initial 46 plus bought 48: 46+48=94. | addition_word |
732,324 | algebra | easy | Solve for x: 8x - 42 = -186 | -18 | Add 42 to both sides: 8x = -186+42=-144. Then x = -144/8 = -18. | linear_equation |
732,325 | calculus | medium | What is the derivative of 6x^4 with respect to x? | 24x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^4] = 6*4*x^3 = 24x^3. | derivative |
732,326 | number_theory | medium | What is the LCM (least common multiple) of 5 and 37? | 185 | LCM = |5*37| / GCD(5,37). GCD=1, so LCM=185/1=185. | lcm |
732,327 | calculus | medium | What is the derivative of 10x^2 with respect to x? | 20x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^2] = 10*2*x^1 = 20x. | derivative |
732,328 | percentages | easy | What is 13% of 435? | 56.55 | Calculate 13/100 * 435 = 0.13*435 = 56.55. | percentages |
732,329 | 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 |
732,330 | arithmetic | easy | What is 262 + 31 * 25? Remember order of operations. | 1037 | Order of operations (PEMDAS): first 31*25=775, then 262+775=1037. | basic_operations |
732,331 | statistics | easy | What is the mean (average) of 99, 76, 23? | 66 | Mean = sum/count. Sum = 99+76+23=198. Count=3. Mean=198/3=66.0. | mean |
732,332 | 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 |
732,333 | statistics | easy | What is the mean (average) of 5, 17, 56, 70, 70? | 43.6 | Mean = sum/count. Sum = 5+17+56+70+70=218. Count=5. Mean=218/5=43.6. | mean |
732,334 | arithmetic | easy | What is 425 + 558? | 983 | Add the two numbers: 425 + 558 = 983. | basic_operations |
732,335 | arithmetic | easy | What is 3264 / 68? | 48 | Divide: 3264 ÷ 68 = 48 because 68*48=3264. | division |
732,336 | algebra | medium | Solve for x: x^2 - 5x - 14 = 0 | x = 7, -2 | Factor: (x - 7)(x - -2) = x^2 -(5)x + -14 = 0. So x = 7 or -2. Check sum = 5, product = -14. | quadratic |
732,337 | 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 |
732,338 | word_problems | easy | If you have 14 books and you buy 1 more books, how many books do you have in total? | 15 | Add initial 14 plus bought 1: 14+1=15. | addition_word |
732,339 | arithmetic | easy | What is 99 * 61? | 6039 | Multiply: 99 * 61 = 6039. | basic_operations |
732,340 | exponents | easy | What is 10^5? | 100000 | 10^5 means multiply 10 by itself 5 times: 10*10*10*10*10 = 100000. | exponents |
732,341 | geometry | easy | Find the area of a rectangle with length 100 and width 10. | 1000 | Area = length * width = 100*10 = 1000. | rectangle_area |
732,342 | fractions | medium | What is 8/9 + 19/11? Give as simplified fraction. | 259/99 | Common denominator 9*11=99. 8/9=88/99, 19/11=171/99. Sum = 259/99 = 259/99 simplified. | fraction_operations |
732,343 | roots | easy | What is the square root of 144? | 12 | Find number that when squared gives 144. 12*12=144, so sqrt(144)=12. | square_roots |
732,344 | geometry | easy | Find the area of a circle with radius 35. Use pi=3.14159, round to 2 decimals. | 3848.45 | Area = pi*r^2 = 3.14159*35^2 = 3.14159*1225 = 3848.45. | circle_area |
732,345 | algebra | easy | Solve for x: 9x - 34 = -196 | -18 | Add 34 to both sides: 9x = -196+34=-162. Then x = -162/9 = -18. | linear_equation |
732,346 | percentages | easy | What is 31% of 60? | 18.6 | Calculate 31/100 * 60 = 0.31*60 = 18.6. | percentages |
732,347 | arithmetic | easy | What is 30 * 17? | 510 | Multiply: 30 * 17 = 510. | basic_operations |
732,348 | 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 |
732,349 | statistics | easy | What is the mean (average) of 25, 28, 12? | 21.67 | Mean = sum/count. Sum = 25+28+12=65. Count=3. Mean=65/3=21.67. | mean |
732,350 | arithmetic | easy | What is 184 - 71? | 113 | Subtract: 184 - 71 = 113. | basic_operations |
732,351 | number_theory | medium | What is the LCM (least common multiple) of 25 and 89? | 2225 | LCM = |25*89| / GCD(25,89). GCD=1, so LCM=2225/1=2225. | lcm |
732,352 | exponents | easy | What is 5^3? | 125 | 5^3 means multiply 5 by itself 3 times: 5*5*5 = 125. | exponents |
732,353 | word_problems | easy | If you have 59 dollars and you buy 28 more dollars, how many dollars do you have in total? | 87 | Add initial 59 plus bought 28: 59+28=87. | addition_word |
732,354 | roots | easy | What is the square root of 169? | 13 | Find number that when squared gives 169. 13*13=169, so sqrt(169)=13. | square_roots |
732,355 | number_theory | medium | What is the GCD (greatest common divisor) of 57 and 62? | 1 | Find greatest number dividing both 57 and 62. Divisors common, greatest is 1. | gcd |
732,356 | exponents | easy | What is 8^5? | 32768 | 8^5 means multiply 8 by itself 5 times: 8*8*8*8*8 = 32768. | exponents |
732,357 | fractions | medium | What is 13/11 + 17/14? Give as simplified fraction. | 369/154 | Common denominator 11*14=154. 13/11=182/154, 17/14=187/154. Sum = 369/154 = 369/154 simplified. | fraction_operations |
732,358 | statistics | easy | What is the mean (average) of 83, 9, 92, 39? | 55.75 | Mean = sum/count. Sum = 83+9+92+39=223. Count=4. Mean=223/4=55.75. | mean |
732,359 | number_theory | medium | What is the GCD (greatest common divisor) of 92 and 14? | 2 | Find greatest number dividing both 92 and 14. Divisors common, greatest is 2. | gcd |
732,360 | 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 |
732,361 | 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 |
732,362 | 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 |
732,363 | arithmetic | easy | What is 836 + 319 * 63? Remember order of operations. | 20933 | Order of operations (PEMDAS): first 319*63=20097, then 836+20097=20933. | basic_operations |
732,364 | 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 |
732,365 | statistics | easy | What is the mean (average) of 81, 2, 53, 52, 91? | 55.8 | Mean = sum/count. Sum = 81+2+53+52+91=279. Count=5. Mean=279/5=55.8. | mean |
732,366 | 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 |
732,367 | arithmetic | easy | What is 637 - 597? | 40 | Subtract: 637 - 597 = 40. | basic_operations |
732,368 | word_problems | easy | If you have 53 dollars and you buy 7 more dollars, how many dollars do you have in total? | 60 | Add initial 53 plus bought 7: 53+7=60. | addition_word |
732,369 | statistics | easy | What is the mean (average) of 48, 4, 40? | 30.67 | Mean = sum/count. Sum = 48+4+40=92. Count=3. Mean=92/3=30.67. | mean |
732,370 | exponents | easy | What is 12^5? | 248832 | 12^5 means multiply 12 by itself 5 times: 12*12*12*12*12 = 248832. | exponents |
732,371 | arithmetic | easy | What is 18 * 57? | 1026 | Multiply: 18 * 57 = 1026. | basic_operations |
732,372 | arithmetic | easy | What is 69 / 23? | 3 | Divide: 69 ÷ 23 = 3 because 23*3=69. | division |
732,373 | fractions | medium | What is 8/7 - 6/11? Give as simplified fraction. | 46/77 | Common denominator 77. Numerator 88-42=46. So 46/77 simplifies to 46/77. | fraction_operations |
732,374 | algebra | easy | Solve for x: 7x - 26 = 9 | 5 | Add 26 to both sides: 7x = 9+26=35. Then x = 35/7 = 5. | linear_equation |
732,375 | statistics | easy | What is the mean (average) of 5, 79, 28, 100, 80? | 58.4 | Mean = sum/count. Sum = 5+79+28+100+80=292. Count=5. Mean=292/5=58.4. | mean |
732,376 | arithmetic | easy | What is 83 * 39? | 3237 | Multiply: 83 * 39 = 3237. | basic_operations |
732,377 | 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 |
732,378 | arithmetic | easy | What is 32 * 78? | 2496 | Multiply: 32 * 78 = 2496. | basic_operations |
732,379 | algebra | easy | Solve for x: 1x + 10 = -9 | -19 | Subtract 10 from both sides: 1x = -9-10=-19. Then divide by 1: x = -19/1 = -19. | linear_equation |
732,380 | statistics | easy | What is the mean (average) of 40, 98, 75, 88? | 75.25 | Mean = sum/count. Sum = 40+98+75+88=301. Count=4. Mean=301/4=75.25. | mean |
732,381 | arithmetic | easy | What is 719 + 41 * 92? Remember order of operations. | 4491 | Order of operations (PEMDAS): first 41*92=3772, then 719+3772=4491. | basic_operations |
732,382 | arithmetic | easy | What is 16008 / 92? | 174 | Divide: 16008 ÷ 92 = 174 because 92*174=16008. | division |
732,383 | exponents | easy | What is 8^2? | 64 | 8^2 means multiply 8 by itself 2 times: 8*8 = 64. | exponents |
732,384 | geometry | easy | Find the area of a circle with radius 6. Use pi=3.14159, round to 2 decimals. | 113.1 | Area = pi*r^2 = 3.14159*6^2 = 3.14159*36 = 113.1. | circle_area |
732,385 | geometry | easy | Find the area of a triangle with base 89 and height 57. | 2536.5 | Area = 0.5*base*height = 0.5*89*57 = 2536.5. | triangle_area |
732,386 | calculus | medium | What is the derivative of 3x^6 with respect to x? | 18x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^6] = 3*6*x^5 = 18x^5. | derivative |
732,387 | number_theory | medium | What is the LCM (least common multiple) of 45 and 63? | 315 | LCM = |45*63| / GCD(45,63). GCD=9, so LCM=2835/9=315. | lcm |
732,388 | 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 |
732,389 | 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 |
732,390 | 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 |
732,391 | calculus | medium | What is the derivative of 2x^3 with respect to x? | 6x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^3] = 2*3*x^2 = 6x^2. | derivative |
732,392 | 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 |
732,393 | 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 |
732,394 | algebra | medium | Solve for x: x^2 - 11x + 28 = 0 | x = 7, 4 | Factor: (x - 7)(x - 4) = x^2 -(11)x + 28 = 0. So x = 7 or 4. Check sum = 11, product = 28. | quadratic |
732,395 | geometry | easy | Find the area of a circle with radius 1. Use pi=3.14159, round to 2 decimals. | 3.14 | Area = pi*r^2 = 3.14159*1^2 = 3.14159*1 = 3.14. | circle_area |
732,396 | 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 |
732,397 | word_problems | easy | If you have 66 pencils and you buy 27 more pencils, how many pencils do you have in total? | 93 | Add initial 66 plus bought 27: 66+27=93. | addition_word |
732,398 | algebra | easy | Solve for x: 1x + 50 = 31 | -19 | Subtract 50 from both sides: 1x = 31-50=-19. Then divide by 1: x = -19/1 = -19. | linear_equation |
732,399 | 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 |
732,400 | 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 |
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