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 |
|---|---|---|---|---|---|---|
4,501 | geometry | easy | Find the area of a circle with radius 47. Use pi=3.14159, round to 2 decimals. | 6939.78 | Area = pi*r^2 = 3.14159*47^2 = 3.14159*2209 = 6939.78. | circle_area |
4,502 | algebra | easy | Solve for x: 15x + 28 = -227 | -17 | Subtract 28 from both sides: 15x = -227-28=-255. Then divide by 15: x = -255/15 = -17. | linear_equation |
4,503 | 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 |
4,504 | exponents | easy | What is 12^2? | 144 | 12^2 means multiply 12 by itself 2 times: 12*12 = 144. | exponents |
4,505 | exponents | easy | What is 5^3? | 125 | 5^3 means multiply 5 by itself 3 times: 5*5*5 = 125. | exponents |
4,506 | fractions | medium | What is 7/13 - 7/18? Give as simplified fraction. | 35/234 | Common denominator 234. Numerator 126-91=35. So 35/234 simplifies to 35/234. | fraction_operations |
4,507 | roots | easy | What is the square root of 2116? | 46 | Find number that when squared gives 2116. 46*46=2116, so sqrt(2116)=46. | square_roots |
4,508 | arithmetic | easy | What is 19396 / 52? | 373 | Divide: 19396 ÷ 52 = 373 because 52*373=19396. | division |
4,509 | arithmetic | easy | What is 649 divided by 13? Give answer to 2 decimal places. | 49.92 | Calculate 649/ 13 = 49.9231, rounded to 2 decimals is 49.92. | division |
4,510 | word_problems | easy | If you have 97 pencils and you buy 8 more pencils, how many pencils do you have in total? | 105 | Add initial 97 plus bought 8: 97+8=105. | addition_word |
4,511 | arithmetic | easy | What is 622 + 1000? | 1622 | Add the two numbers: 622 + 1000 = 1622. | basic_operations |
4,512 | fractions | medium | What is 16/8 * 5/14? Give as simplified fraction. | 5/7 | Multiply numerators: 16*5=80. Denominators: 8*14=112. Simplify by gcd 16 to get 5/7. | fraction_operations |
4,513 | 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 |
4,514 | arithmetic | easy | What is 10 * 11? | 110 | Multiply: 10 * 11 = 110. | basic_operations |
4,515 | statistics | easy | What is the mean (average) of 50, 13, 60, 65? | 47 | Mean = sum/count. Sum = 50+13+60+65=188. Count=4. Mean=188/4=47.0. | mean |
4,516 | 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 |
4,517 | arithmetic | easy | What is 11 + 934? | 945 | Add the two numbers: 11 + 934 = 945. | basic_operations |
4,518 | arithmetic | easy | What is 601 + 110 * 43? Remember order of operations. | 5331 | Order of operations (PEMDAS): first 110*43=4730, then 601+4730=5331. | basic_operations |
4,519 | algebra | easy | Solve for x: 20x + 17 = -383 | -20 | Subtract 17 from both sides: 20x = -383-17=-400. Then divide by 20: x = -400/20 = -20. | linear_equation |
4,520 | percentages | easy | What is 89% of 387? | 344.43 | Calculate 89/100 * 387 = 0.89*387 = 344.43. | percentages |
4,521 | 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 |
4,522 | statistics | easy | What is the mean (average) of 94, 37, 77, 16? | 56 | Mean = sum/count. Sum = 94+37+77+16=224. Count=4. Mean=224/4=56.0. | mean |
4,523 | 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 |
4,524 | fractions | medium | What is 13/13 + 20/13? Give as simplified fraction. | 33/13 | Common denominator 13*13=169. 13/13=169/169, 20/13=260/169. Sum = 429/169 = 33/13 simplified. | fraction_operations |
4,525 | arithmetic | easy | What is 79 + 319? | 398 | Add the two numbers: 79 + 319 = 398. | basic_operations |
4,526 | exponents | easy | What is 3^4? | 81 | 3^4 means multiply 3 by itself 4 times: 3*3*3*3 = 81. | exponents |
4,527 | percentages | easy | What is 30% of 407? | 122.1 | Calculate 30/100 * 407 = 0.3*407 = 122.1. | percentages |
4,528 | statistics | easy | What is the mean (average) of 4, 76, 18, 97? | 48.75 | Mean = sum/count. Sum = 4+76+18+97=195. Count=4. Mean=195/4=48.75. | mean |
4,529 | 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 |
4,530 | algebra | medium | Solve for x: x^2 + 9x + 20 = 0 | x = -5, -4 | Factor: (x - -5)(x - -4) = x^2 -(-9)x + 20 = 0. So x = -5 or -4. Check sum = -9, product = 20. | quadratic |
4,531 | algebra | easy | Solve for x: 3x - 20 = 4 | 8 | Add 20 to both sides: 3x = 4+20=24. Then x = 24/3 = 8. | linear_equation |
4,532 | geometry | easy | Find the area of a circle with radius 22. Use pi=3.14159, round to 2 decimals. | 1520.53 | Area = pi*r^2 = 3.14159*22^2 = 3.14159*484 = 1520.53. | circle_area |
4,533 | 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 |
4,534 | arithmetic | easy | What is 96 + 94 * 5? Remember order of operations. | 566 | Order of operations (PEMDAS): first 94*5=470, then 96+470=566. | basic_operations |
4,535 | 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 |
4,536 | arithmetic | easy | What is 850 + 376? | 1226 | Add the two numbers: 850 + 376 = 1226. | basic_operations |
4,537 | roots | easy | What is the square root of 256? | 16 | Find number that when squared gives 256. 16*16=256, so sqrt(256)=16. | square_roots |
4,538 | statistics | easy | What is the mean (average) of 55, 56, 96, 6? | 53.25 | Mean = sum/count. Sum = 55+56+96+6=213. Count=4. Mean=213/4=53.25. | mean |
4,539 | arithmetic | easy | What is 6131 divided by 16? Give answer to 2 decimal places. | 383.19 | Calculate 6131/ 16 = 383.1875, rounded to 2 decimals is 383.19. | division |
4,540 | arithmetic | easy | What is 962 + 44? | 1006 | Add the two numbers: 962 + 44 = 1006. | basic_operations |
4,541 | fractions | medium | What is 12/14 + 13/4? Give as simplified fraction. | 115/28 | Common denominator 14*4=56. 12/14=48/56, 13/4=182/56. Sum = 230/56 = 115/28 simplified. | fraction_operations |
4,542 | calculus | medium | What is the derivative of 8x^3 with respect to x? | 24x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^3] = 8*3*x^2 = 24x^2. | derivative |
4,543 | arithmetic | easy | What is 329 + 963 * 96? Remember order of operations. | 92777 | Order of operations (PEMDAS): first 963*96=92448, then 329+92448=92777. | basic_operations |
4,544 | algebra | medium | Solve for x: x^2 + 6x + 8 = 0 | x = -4, -2 | Factor: (x - -4)(x - -2) = x^2 -(-6)x + 8 = 0. So x = -4 or -2. Check sum = -6, product = 8. | quadratic |
4,545 | 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 |
4,546 | arithmetic | easy | What is 24 * 56? | 1344 | Multiply: 24 * 56 = 1344. | basic_operations |
4,547 | statistics | easy | What is the mean (average) of 63, 55, 98, 72, 83? | 74.2 | Mean = sum/count. Sum = 63+55+98+72+83=371. Count=5. Mean=371/5=74.2. | mean |
4,548 | algebra | easy | Solve for x: 20x - 24 = 236 | 13 | Add 24 to both sides: 20x = 236+24=260. Then x = 260/20 = 13. | linear_equation |
4,549 | geometry | easy | Find the area of a circle with radius 48. Use pi=3.14159, round to 2 decimals. | 7238.23 | Area = pi*r^2 = 3.14159*48^2 = 3.14159*2304 = 7238.23. | circle_area |
4,550 | arithmetic | easy | What is 1 * 68? | 68 | Multiply: 1 * 68 = 68. | basic_operations |
4,551 | fractions | medium | What is 11/11 * 8/17? Give as simplified fraction. | 8/17 | Multiply numerators: 11*8=88. Denominators: 11*17=187. Simplify by gcd 11 to get 8/17. | fraction_operations |
4,552 | algebra | easy | Solve for x: 14x - 45 = -143 | -7 | Add 45 to both sides: 14x = -143+45=-98. Then x = -98/14 = -7. | linear_equation |
4,553 | percentages | easy | What is 83% of 384? | 318.72 | Calculate 83/100 * 384 = 0.83*384 = 318.72. | percentages |
4,554 | arithmetic | easy | What is 424 / 8? | 53 | Divide: 424 ÷ 8 = 53 because 8*53=424. | division |
4,555 | word_problems | easy | If you have 93 apples and you buy 45 more apples, how many apples do you have in total? | 138 | Add initial 93 plus bought 45: 93+45=138. | addition_word |
4,556 | arithmetic | easy | What is 91 * 9? | 819 | Multiply: 91 * 9 = 819. | basic_operations |
4,557 | exponents | easy | What is 11^3? | 1331 | 11^3 means multiply 11 by itself 3 times: 11*11*11 = 1331. | exponents |
4,558 | arithmetic | easy | What is 22 * 52? | 1144 | Multiply: 22 * 52 = 1144. | basic_operations |
4,559 | 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 |
4,560 | 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 |
4,561 | word_problems | easy | If you have 16 dollars and you buy 34 more dollars, how many dollars do you have in total? | 50 | Add initial 16 plus bought 34: 16+34=50. | addition_word |
4,562 | algebra | easy | Solve for x: 18x + 50 = 104 | 3 | Subtract 50 from both sides: 18x = 104-50=54. Then divide by 18: x = 54/18 = 3. | linear_equation |
4,563 | calculus | medium | What is the derivative of 10x^7 with respect to x? | 70x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^7] = 10*7*x^6 = 70x^6. | derivative |
4,564 | percentages | easy | What is 19% of 339? | 64.41 | Calculate 19/100 * 339 = 0.19*339 = 64.41. | percentages |
4,565 | arithmetic | easy | What is 429 / 39? | 11 | Divide: 429 ÷ 39 = 11 because 39*11=429. | division |
4,566 | fractions | medium | What is 6/8 + 4/7? Give as simplified fraction. | 37/28 | Common denominator 8*7=56. 6/8=42/56, 4/7=32/56. Sum = 74/56 = 37/28 simplified. | fraction_operations |
4,567 | exponents | easy | What is 4^5? | 1024 | 4^5 means multiply 4 by itself 5 times: 4*4*4*4*4 = 1024. | exponents |
4,568 | calculus | medium | What is the derivative of 9x^6 with respect to x? | 54x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^6] = 9*6*x^5 = 54x^5. | derivative |
4,569 | arithmetic | easy | What is 418 + 638? | 1056 | Add the two numbers: 418 + 638 = 1056. | basic_operations |
4,570 | statistics | easy | What is the mean (average) of 51, 82, 16? | 49.67 | Mean = sum/count. Sum = 51+82+16=149. Count=3. Mean=149/3=49.67. | mean |
4,571 | word_problems | easy | If you have 58 candies and you buy 2 more candies, how many candies do you have in total? | 60 | Add initial 58 plus bought 2: 58+2=60. | addition_word |
4,572 | algebra | medium | Solve for x: x^2 + 5x + 4 = 0 | x = -4, -1 | Factor: (x - -4)(x - -1) = x^2 -(-5)x + 4 = 0. So x = -4 or -1. Check sum = -5, product = 4. | quadratic |
4,573 | percentages | easy | What is 67% of 622? | 416.74 | Calculate 67/100 * 622 = 0.67*622 = 416.74. | percentages |
4,574 | percentages | easy | What is 42% of 687? | 288.54 | Calculate 42/100 * 687 = 0.42*687 = 288.54. | percentages |
4,575 | number_theory | medium | What is the GCD (greatest common divisor) of 84 and 32? | 4 | Find greatest number dividing both 84 and 32. Divisors common, greatest is 4. | gcd |
4,576 | arithmetic | easy | What is 857 + 839? | 1696 | Add the two numbers: 857 + 839 = 1696. | basic_operations |
4,577 | 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 |
4,578 | arithmetic | easy | What is 9259 divided by 20? Give answer to 2 decimal places. | 462.95 | Calculate 9259/ 20 = 462.9500, rounded to 2 decimals is 462.95. | division |
4,579 | roots | easy | What is the square root of 4? | 2 | Find number that when squared gives 4. 2*2=4, so sqrt(4)=2. | square_roots |
4,580 | algebra | easy | Solve for x: 13x + 25 = 51 | 2 | Subtract 25 from both sides: 13x = 51-25=26. Then divide by 13: x = 26/13 = 2. | linear_equation |
4,581 | algebra | easy | Solve for x: 14x + 34 = -8 | -3 | Subtract 34 from both sides: 14x = -8-34=-42. Then divide by 14: x = -42/14 = -3. | linear_equation |
4,582 | arithmetic | easy | What is 49 * 45? | 2205 | Multiply: 49 * 45 = 2205. | basic_operations |
4,583 | arithmetic | easy | What is 946 + 850? | 1796 | Add the two numbers: 946 + 850 = 1796. | basic_operations |
4,584 | 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 |
4,585 | algebra | easy | Solve for x: 7x + 17 = 17 | 0 | Subtract 17 from both sides: 7x = 17-17=0. Then divide by 7: x = 0/7 = 0. | linear_equation |
4,586 | roots | easy | What is the square root of 2401? | 49 | Find number that when squared gives 2401. 49*49=2401, so sqrt(2401)=49. | square_roots |
4,587 | arithmetic | easy | What is 14688 / 34? | 432 | Divide: 14688 ÷ 34 = 432 because 34*432=14688. | division |
4,588 | 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 |
4,589 | percentages | easy | What is 76% of 816? | 620.16 | Calculate 76/100 * 816 = 0.76*816 = 620.16. | percentages |
4,590 | exponents | easy | What is 10^4? | 10000 | 10^4 means multiply 10 by itself 4 times: 10*10*10*10 = 10000. | exponents |
4,591 | arithmetic | easy | What is 876 - 31? | 845 | Subtract: 876 - 31 = 845. | basic_operations |
4,592 | arithmetic | easy | What is 684 - 7? | 677 | Subtract: 684 - 7 = 677. | basic_operations |
4,593 | calculus | medium | What is the derivative of 1x^2 with respect to x? | 2x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^2] = 1*2*x^1 = 2x. | derivative |
4,594 | arithmetic | easy | What is 19701 / 99? | 199 | Divide: 19701 ÷ 99 = 199 because 99*199=19701. | division |
4,595 | arithmetic | easy | What is 43 + 4 * 25? Remember order of operations. | 143 | Order of operations (PEMDAS): first 4*25=100, then 43+100=143. | basic_operations |
4,596 | arithmetic | easy | What is 83 + 36 * 8? Remember order of operations. | 371 | Order of operations (PEMDAS): first 36*8=288, then 83+288=371. | basic_operations |
4,597 | arithmetic | easy | What is 879 + 756? | 1635 | Add the two numbers: 879 + 756 = 1635. | basic_operations |
4,598 | algebra | medium | Solve for x: x^2 - 16x + 60 = 0 | x = 10, 6 | Factor: (x - 10)(x - 6) = x^2 -(16)x + 60 = 0. So x = 10 or 6. Check sum = 16, product = 60. | quadratic |
4,599 | fractions | medium | What is 19/16 + 14/6? Give as simplified fraction. | 169/48 | Common denominator 16*6=96. 19/16=114/96, 14/6=224/96. Sum = 338/96 = 169/48 simplified. | fraction_operations |
4,600 | number_theory | medium | What is the LCM (least common multiple) of 29 and 82? | 2378 | LCM = |29*82| / GCD(29,82). GCD=1, so LCM=2378/1=2378. | lcm |
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