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 |
|---|---|---|---|---|---|---|
6,501 | word_problems | easy | If you have 20 apples and you buy 37 more apples, how many apples do you have in total? | 57 | Add initial 20 plus bought 37: 20+37=57. | addition_word |
6,502 | 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 |
6,503 | calculus | medium | What is the derivative of 4x^6 with respect to x? | 24x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^6] = 4*6*x^5 = 24x^5. | derivative |
6,504 | 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 |
6,505 | calculus | medium | What is the derivative of 9x^2 with respect to x? | 18x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^2] = 9*2*x^1 = 18x. | derivative |
6,506 | percentages | easy | What is 25% of 903? | 225.75 | Calculate 25/100 * 903 = 0.25*903 = 225.75. | percentages |
6,507 | 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 |
6,508 | statistics | easy | What is the mean (average) of 81, 86, 72, 59? | 74.5 | Mean = sum/count. Sum = 81+86+72+59=298. Count=4. Mean=298/4=74.5. | mean |
6,509 | calculus | medium | What is the derivative of 1x^6 with respect to x? | 6x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^6] = 1*6*x^5 = 6x^5. | derivative |
6,510 | number_theory | medium | What is the GCD (greatest common divisor) of 88 and 60? | 4 | Find greatest number dividing both 88 and 60. Divisors common, greatest is 4. | gcd |
6,511 | algebra | medium | Solve for x: x^2 - 2x - 15 = 0 | x = -3, 5 | Factor: (x - -3)(x - 5) = x^2 -(2)x + -15 = 0. So x = -3 or 5. Check sum = 2, product = -15. | quadratic |
6,512 | statistics | easy | What is the mean (average) of 12, 70, 34, 32, 1? | 29.8 | Mean = sum/count. Sum = 12+70+34+32+1=149. Count=5. Mean=149/5=29.8. | mean |
6,513 | arithmetic | easy | What is 7104 / 74? | 96 | Divide: 7104 ÷ 74 = 96 because 74*96=7104. | division |
6,514 | number_theory | medium | What is the GCD (greatest common divisor) of 56 and 63? | 7 | Find greatest number dividing both 56 and 63. Divisors common, greatest is 7. | gcd |
6,515 | fractions | medium | What is 7/6 + 20/17? Give as simplified fraction. | 239/102 | Common denominator 6*17=102. 7/6=119/102, 20/17=120/102. Sum = 239/102 = 239/102 simplified. | fraction_operations |
6,516 | algebra | easy | Solve for x: 7x + 22 = 57 | 5 | Subtract 22 from both sides: 7x = 57-22=35. Then divide by 7: x = 35/7 = 5. | linear_equation |
6,517 | exponents | easy | What is 6^2? | 36 | 6^2 means multiply 6 by itself 2 times: 6*6 = 36. | exponents |
6,518 | 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 |
6,519 | 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 |
6,520 | algebra | medium | Solve for x: x^2 - 6x + 8 = 0 | x = 2, 4 | Factor: (x - 2)(x - 4) = x^2 -(6)x + 8 = 0. So x = 2 or 4. Check sum = 6, product = 8. | quadratic |
6,521 | calculus | medium | What is the derivative of 10x^6 with respect to x? | 60x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^6] = 10*6*x^5 = 60x^5. | derivative |
6,522 | algebra | medium | Solve for x: x^2 + 7x + 10 = 0 | x = -2, -5 | Factor: (x - -2)(x - -5) = x^2 -(-7)x + 10 = 0. So x = -2 or -5. Check sum = -7, product = 10. | quadratic |
6,523 | word_problems | easy | If you have 65 pencils and you buy 16 more pencils, how many pencils do you have in total? | 81 | Add initial 65 plus bought 16: 65+16=81. | addition_word |
6,524 | algebra | medium | Solve for x: x^2 - 4x - 21 = 0 | x = -3, 7 | Factor: (x - -3)(x - 7) = x^2 -(4)x + -21 = 0. So x = -3 or 7. Check sum = 4, product = -21. | quadratic |
6,525 | roots | easy | What is the square root of 1764? | 42 | Find number that when squared gives 1764. 42*42=1764, so sqrt(1764)=42. | square_roots |
6,526 | algebra | easy | Solve for x: 2x - 33 = -43 | -5 | Add 33 to both sides: 2x = -43+33=-10. Then x = -10/2 = -5. | linear_equation |
6,527 | algebra | medium | Solve for x: x^2 + 2x - 80 = 0 | x = -10, 8 | Factor: (x - -10)(x - 8) = x^2 -(-2)x + -80 = 0. So x = -10 or 8. Check sum = -2, product = -80. | quadratic |
6,528 | arithmetic | easy | What is 12002 / 34? | 353 | Divide: 12002 ÷ 34 = 353 because 34*353=12002. | division |
6,529 | 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 |
6,530 | fractions | medium | What is 8/7 - 17/10? Give as simplified fraction. | -39/70 | Common denominator 70. Numerator 80-119=-39. So -39/70 simplifies to -39/70. | fraction_operations |
6,531 | algebra | easy | Solve for x: 7x - 12 = 65 | 11 | Add 12 to both sides: 7x = 65+12=77. Then x = 77/7 = 11. | linear_equation |
6,532 | arithmetic | easy | What is 620 + 606? | 1226 | Add the two numbers: 620 + 606 = 1226. | basic_operations |
6,533 | arithmetic | easy | What is 819 - 689? | 130 | Subtract: 819 - 689 = 130. | basic_operations |
6,534 | arithmetic | easy | What is 44 * 17? | 748 | Multiply: 44 * 17 = 748. | basic_operations |
6,535 | arithmetic | easy | What is 949 - 937? | 12 | Subtract: 949 - 937 = 12. | basic_operations |
6,536 | arithmetic | easy | What is 207 + 565 * 29? Remember order of operations. | 16592 | Order of operations (PEMDAS): first 565*29=16385, then 207+16385=16592. | basic_operations |
6,537 | 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 |
6,538 | percentages | easy | What is 28% of 690? | 193.2 | Calculate 28/100 * 690 = 0.28*690 = 193.2. | percentages |
6,539 | algebra | easy | Solve for x: 6x + 49 = 91 | 7 | Subtract 49 from both sides: 6x = 91-49=42. Then divide by 6: x = 42/6 = 7. | linear_equation |
6,540 | algebra | easy | Solve for x: 5x + 13 = 53 | 8 | Subtract 13 from both sides: 5x = 53-13=40. Then divide by 5: x = 40/5 = 8. | linear_equation |
6,541 | word_problems | easy | If you have 64 books and you buy 14 more books, how many books do you have in total? | 78 | Add initial 64 plus bought 14: 64+14=78. | addition_word |
6,542 | arithmetic | easy | What is 90 * 5? | 450 | Multiply: 90 * 5 = 450. | basic_operations |
6,543 | calculus | medium | What is the derivative of 8x^4 with respect to x? | 32x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^4] = 8*4*x^3 = 32x^3. | derivative |
6,544 | arithmetic | easy | What is 948 + 822 * 57? Remember order of operations. | 47802 | Order of operations (PEMDAS): first 822*57=46854, then 948+46854=47802. | basic_operations |
6,545 | number_theory | medium | What is the LCM (least common multiple) of 7 and 31? | 217 | LCM = |7*31| / GCD(7,31). GCD=1, so LCM=217/1=217. | lcm |
6,546 | arithmetic | easy | What is 344 + 630? | 974 | Add the two numbers: 344 + 630 = 974. | basic_operations |
6,547 | exponents | easy | What is 4^4? | 256 | 4^4 means multiply 4 by itself 4 times: 4*4*4*4 = 256. | exponents |
6,548 | arithmetic | easy | What is 61 + 91 * 5? Remember order of operations. | 516 | Order of operations (PEMDAS): first 91*5=455, then 61+455=516. | basic_operations |
6,549 | arithmetic | easy | What is 920 + 136 * 64? Remember order of operations. | 9624 | Order of operations (PEMDAS): first 136*64=8704, then 920+8704=9624. | basic_operations |
6,550 | 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 |
6,551 | number_theory | medium | What is the LCM (least common multiple) of 65 and 22? | 1430 | LCM = |65*22| / GCD(65,22). GCD=1, so LCM=1430/1=1430. | lcm |
6,552 | word_problems | easy | If you have 58 dollars and you buy 9 more dollars, how many dollars do you have in total? | 67 | Add initial 58 plus bought 9: 58+9=67. | addition_word |
6,553 | arithmetic | easy | What is 863 + 949 * 56? Remember order of operations. | 54007 | Order of operations (PEMDAS): first 949*56=53144, then 863+53144=54007. | basic_operations |
6,554 | arithmetic | easy | What is 251 + 724? | 975 | Add the two numbers: 251 + 724 = 975. | basic_operations |
6,555 | number_theory | medium | What is the LCM (least common multiple) of 82 and 52? | 2132 | LCM = |82*52| / GCD(82,52). GCD=2, so LCM=4264/2=2132. | lcm |
6,556 | 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 |
6,557 | arithmetic | easy | What is 588 - 290? | 298 | Subtract: 588 - 290 = 298. | basic_operations |
6,558 | statistics | easy | What is the mean (average) of 76, 27, 14, 67, 28? | 42.4 | Mean = sum/count. Sum = 76+27+14+67+28=212. Count=5. Mean=212/5=42.4. | mean |
6,559 | statistics | easy | What is the mean (average) of 74, 70, 91, 36, 77? | 69.6 | Mean = sum/count. Sum = 74+70+91+36+77=348. Count=5. Mean=348/5=69.6. | mean |
6,560 | arithmetic | easy | What is 55 * 5? | 275 | Multiply: 55 * 5 = 275. | basic_operations |
6,561 | 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 |
6,562 | arithmetic | easy | What is 85 + 27 * 77? Remember order of operations. | 2164 | Order of operations (PEMDAS): first 27*77=2079, then 85+2079=2164. | basic_operations |
6,563 | 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 |
6,564 | 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 |
6,565 | fractions | medium | What is 5/6 - 8/20? Give as simplified fraction. | 13/30 | Common denominator 120. Numerator 100-48=52. So 52/120 simplifies to 13/30. | fraction_operations |
6,566 | calculus | medium | What is the derivative of 3x^2 with respect to x? | 6x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^2] = 3*2*x^1 = 6x. | derivative |
6,567 | arithmetic | easy | What is 8096 / 22? | 368 | Divide: 8096 ÷ 22 = 368 because 22*368=8096. | division |
6,568 | arithmetic | easy | What is 13904 / 44? | 316 | Divide: 13904 ÷ 44 = 316 because 44*316=13904. | division |
6,569 | percentages | easy | What is 33% of 17? | 5.61 | Calculate 33/100 * 17 = 0.33*17 = 5.61. | percentages |
6,570 | arithmetic | easy | What is 58 * 56? | 3248 | Multiply: 58 * 56 = 3248. | basic_operations |
6,571 | algebra | medium | Solve for x: x^2 + 10x + 24 = 0 | x = -6, -4 | Factor: (x - -6)(x - -4) = x^2 -(-10)x + 24 = 0. So x = -6 or -4. Check sum = -10, product = 24. | quadratic |
6,572 | exponents | easy | What is 9^4? | 6561 | 9^4 means multiply 9 by itself 4 times: 9*9*9*9 = 6561. | exponents |
6,573 | algebra | medium | Solve for x: x^2 - 5x - 50 = 0 | x = 10, -5 | Factor: (x - 10)(x - -5) = x^2 -(5)x + -50 = 0. So x = 10 or -5. Check sum = 5, product = -50. | quadratic |
6,574 | roots | easy | What is the square root of 676? | 26 | Find number that when squared gives 676. 26*26=676, so sqrt(676)=26. | square_roots |
6,575 | word_problems | easy | If you have 100 candies and you buy 33 more candies, how many candies do you have in total? | 133 | Add initial 100 plus bought 33: 100+33=133. | addition_word |
6,576 | arithmetic | easy | What is 68 * 19? | 1292 | Multiply: 68 * 19 = 1292. | basic_operations |
6,577 | algebra | easy | Solve for x: 7x + 7 = 98 | 13 | Subtract 7 from both sides: 7x = 98-7=91. Then divide by 7: x = 91/7 = 13. | linear_equation |
6,578 | statistics | easy | What is the mean (average) of 43, 85, 70? | 66 | Mean = sum/count. Sum = 43+85+70=198. Count=3. Mean=198/3=66.0. | mean |
6,579 | exponents | easy | What is 3^5? | 243 | 3^5 means multiply 3 by itself 5 times: 3*3*3*3*3 = 243. | exponents |
6,580 | arithmetic | easy | What is 26 * 90? | 2340 | Multiply: 26 * 90 = 2340. | basic_operations |
6,581 | number_theory | medium | What is the LCM (least common multiple) of 52 and 40? | 520 | LCM = |52*40| / GCD(52,40). GCD=4, so LCM=2080/4=520. | lcm |
6,582 | geometry | easy | Find the circumference of a circle with radius 2. Use pi=3.14159, round to 2 decimals. | 12.57 | Circumference = 2*pi*r = 2*3.14159*2 = 12.57. | circle_circum |
6,583 | 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 |
6,584 | 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 |
6,585 | word_problems | easy | If you have 84 pencils and you buy 18 more pencils, how many pencils do you have in total? | 102 | Add initial 84 plus bought 18: 84+18=102. | addition_word |
6,586 | calculus | medium | What is the derivative of 9x^3 with respect to x? | 27x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^3] = 9*3*x^2 = 27x^2. | derivative |
6,587 | percentages | easy | What is 1% of 877? | 8.77 | Calculate 1/100 * 877 = 0.01*877 = 8.77. | percentages |
6,588 | word_problems | easy | If you have 24 candies and you buy 13 more candies, how many candies do you have in total? | 37 | Add initial 24 plus bought 13: 24+13=37. | addition_word |
6,589 | arithmetic | easy | What is 3440 / 8? | 430 | Divide: 3440 ÷ 8 = 430 because 8*430=3440. | division |
6,590 | algebra | easy | Solve for x: 14x - 40 = 16 | 4 | Add 40 to both sides: 14x = 16+40=56. Then x = 56/14 = 4. | linear_equation |
6,591 | calculus | medium | What is the derivative of 1x^3 with respect to x? | 3x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^3] = 1*3*x^2 = 3x^2. | derivative |
6,592 | arithmetic | easy | What is 9130 / 55? | 166 | Divide: 9130 ÷ 55 = 166 because 55*166=9130. | division |
6,593 | word_problems | easy | If you have 92 candies and you buy 33 more candies, how many candies do you have in total? | 125 | Add initial 92 plus bought 33: 92+33=125. | addition_word |
6,594 | geometry | easy | Find the area of a circle with radius 32. Use pi=3.14159, round to 2 decimals. | 3216.99 | Area = pi*r^2 = 3.14159*32^2 = 3.14159*1024 = 3216.99. | circle_area |
6,595 | 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 |
6,596 | number_theory | medium | What is the GCD (greatest common divisor) of 64 and 46? | 2 | Find greatest number dividing both 64 and 46. Divisors common, greatest is 2. | gcd |
6,597 | algebra | medium | Solve for x: x^2 - 3x - 10 = 0 | x = -2, 5 | Factor: (x - -2)(x - 5) = x^2 -(3)x + -10 = 0. So x = -2 or 5. Check sum = 3, product = -10. | quadratic |
6,598 | 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 |
6,599 | arithmetic | easy | What is 58 * 44? | 2552 | Multiply: 58 * 44 = 2552. | basic_operations |
6,600 | 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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