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 |
|---|---|---|---|---|---|---|
9,501 | statistics | easy | What is the mean (average) of 53, 91, 27, 24? | 48.75 | Mean = sum/count. Sum = 53+91+27+24=195. Count=4. Mean=195/4=48.75. | mean |
9,502 | statistics | easy | What is the mean (average) of 76, 89, 92, 7, 100? | 72.8 | Mean = sum/count. Sum = 76+89+92+7+100=364. Count=5. Mean=364/5=72.8. | mean |
9,503 | geometry | easy | Find the perimeter of a rectangle with length 27 and width 27. | 108 | Perimeter = 2*(length+width) = 2*(27+27) = 2*54 = 108. | rectangle_perim |
9,504 | arithmetic | easy | What is 412 / 2? | 206 | Divide: 412 ÷ 2 = 206 because 2*206=412. | division |
9,505 | statistics | easy | What is the mean (average) of 5, 47, 20? | 24 | Mean = sum/count. Sum = 5+47+20=72. Count=3. Mean=72/3=24.0. | mean |
9,506 | algebra | easy | Solve for x: 20x - 40 = 220 | 13 | Add 40 to both sides: 20x = 220+40=260. Then x = 260/20 = 13. | linear_equation |
9,507 | geometry | easy | Find the area of a circle with radius 30. Use pi=3.14159, round to 2 decimals. | 2827.43 | Area = pi*r^2 = 3.14159*30^2 = 3.14159*900 = 2827.43. | circle_area |
9,508 | exponents | easy | What is 11^5? | 161051 | 11^5 means multiply 11 by itself 5 times: 11*11*11*11*11 = 161051. | exponents |
9,509 | number_theory | medium | What is the GCD (greatest common divisor) of 80 and 77? | 1 | Find greatest number dividing both 80 and 77. Divisors common, greatest is 1. | gcd |
9,510 | roots | easy | What is the square root of 81? | 9 | Find number that when squared gives 81. 9*9=81, so sqrt(81)=9. | square_roots |
9,511 | statistics | easy | What is the mean (average) of 91, 24, 45? | 53.33 | Mean = sum/count. Sum = 91+24+45=160. Count=3. Mean=160/3=53.33. | mean |
9,512 | 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 |
9,513 | arithmetic | easy | What is 4329 / 39? | 111 | Divide: 4329 ÷ 39 = 111 because 39*111=4329. | division |
9,514 | arithmetic | easy | What is 62 * 62? | 3844 | Multiply: 62 * 62 = 3844. | basic_operations |
9,515 | number_theory | medium | What is the GCD (greatest common divisor) of 16 and 29? | 1 | Find greatest number dividing both 16 and 29. Divisors common, greatest is 1. | gcd |
9,516 | 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 |
9,517 | arithmetic | easy | What is 610 + 770 * 20? Remember order of operations. | 16010 | Order of operations (PEMDAS): first 770*20=15400, then 610+15400=16010. | basic_operations |
9,518 | word_problems | easy | If you have 41 books and you buy 22 more books, how many books do you have in total? | 63 | Add initial 41 plus bought 22: 41+22=63. | addition_word |
9,519 | word_problems | easy | If you have 19 candies and you buy 19 more candies, how many candies do you have in total? | 38 | Add initial 19 plus bought 19: 19+19=38. | addition_word |
9,520 | percentages | easy | What is 20% of 45? | 9 | Calculate 20/100 * 45 = 0.2*45 = 9. | percentages |
9,521 | exponents | easy | What is 5^2? | 25 | 5^2 means multiply 5 by itself 2 times: 5*5 = 25. | exponents |
9,522 | algebra | easy | Solve for x: 15x - 14 = -89 | -5 | Add 14 to both sides: 15x = -89+14=-75. Then x = -75/15 = -5. | linear_equation |
9,523 | arithmetic | easy | What is 424 - 184? | 240 | Subtract: 424 - 184 = 240. | basic_operations |
9,524 | arithmetic | easy | What is 227 + 180 * 26? Remember order of operations. | 4907 | Order of operations (PEMDAS): first 180*26=4680, then 227+4680=4907. | basic_operations |
9,525 | 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 |
9,526 | 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 |
9,527 | arithmetic | easy | What is 782 - 429? | 353 | Subtract: 782 - 429 = 353. | basic_operations |
9,528 | roots | easy | What is the square root of 484? | 22 | Find number that when squared gives 484. 22*22=484, so sqrt(484)=22. | square_roots |
9,529 | algebra | easy | Solve for x: 14x + 8 = -160 | -12 | Subtract 8 from both sides: 14x = -160-8=-168. Then divide by 14: x = -168/14 = -12. | linear_equation |
9,530 | arithmetic | easy | What is 61 + 96 * 52? Remember order of operations. | 5053 | Order of operations (PEMDAS): first 96*52=4992, then 61+4992=5053. | basic_operations |
9,531 | word_problems | easy | If you have 97 apples and you buy 21 more apples, how many apples do you have in total? | 118 | Add initial 97 plus bought 21: 97+21=118. | addition_word |
9,532 | arithmetic | easy | What is 88 * 56? | 4928 | Multiply: 88 * 56 = 4928. | basic_operations |
9,533 | arithmetic | easy | What is 593 - 437? | 156 | Subtract: 593 - 437 = 156. | basic_operations |
9,534 | arithmetic | easy | What is 792 + 73? | 865 | Add the two numbers: 792 + 73 = 865. | basic_operations |
9,535 | arithmetic | easy | What is 77 * 26? | 2002 | Multiply: 77 * 26 = 2002. | basic_operations |
9,536 | percentages | easy | What is 47% of 819? | 384.93 | Calculate 47/100 * 819 = 0.47*819 = 384.93. | percentages |
9,537 | fractions | medium | What is 19/9 * 8/2? Give as simplified fraction. | 76/9 | Multiply numerators: 19*8=152. Denominators: 9*2=18. Simplify by gcd 2 to get 76/9. | fraction_operations |
9,538 | number_theory | medium | What is the LCM (least common multiple) of 35 and 68? | 2380 | LCM = |35*68| / GCD(35,68). GCD=1, so LCM=2380/1=2380. | lcm |
9,539 | 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 |
9,540 | 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 |
9,541 | statistics | easy | What is the mean (average) of 57, 75, 38? | 56.67 | Mean = sum/count. Sum = 57+75+38=170. Count=3. Mean=170/3=56.67. | mean |
9,542 | fractions | medium | What is 5/5 + 17/9? Give as simplified fraction. | 26/9 | Common denominator 5*9=45. 5/5=45/45, 17/9=85/45. Sum = 130/45 = 26/9 simplified. | fraction_operations |
9,543 | algebra | easy | Solve for x: 9x - 28 = 17 | 5 | Add 28 to both sides: 9x = 17+28=45. Then x = 45/9 = 5. | linear_equation |
9,544 | geometry | easy | Find the circumference of a circle with radius 48. Use pi=3.14159, round to 2 decimals. | 301.59 | Circumference = 2*pi*r = 2*3.14159*48 = 301.59. | circle_circum |
9,545 | roots | easy | What is the square root of 1681? | 41 | Find number that when squared gives 1681. 41*41=1681, so sqrt(1681)=41. | square_roots |
9,546 | roots | easy | What is the square root of 2304? | 48 | Find number that when squared gives 2304. 48*48=2304, so sqrt(2304)=48. | square_roots |
9,547 | arithmetic | easy | What is 975 / 75? | 13 | Divide: 975 ÷ 75 = 13 because 75*13=975. | division |
9,548 | exponents | easy | What is 3^2? | 9 | 3^2 means multiply 3 by itself 2 times: 3*3 = 9. | exponents |
9,549 | 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 |
9,550 | exponents | easy | What is 10^2? | 100 | 10^2 means multiply 10 by itself 2 times: 10*10 = 100. | exponents |
9,551 | roots | easy | What is the square root of 49? | 7 | Find number that when squared gives 49. 7*7=49, so sqrt(49)=7. | square_roots |
9,552 | arithmetic | easy | What is 622 - 227? | 395 | Subtract: 622 - 227 = 395. | basic_operations |
9,553 | number_theory | medium | What is the GCD (greatest common divisor) of 93 and 32? | 1 | Find greatest number dividing both 93 and 32. Divisors common, greatest is 1. | gcd |
9,554 | 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 |
9,555 | percentages | easy | What is 1% of 324? | 3.24 | Calculate 1/100 * 324 = 0.01*324 = 3.24. | percentages |
9,556 | statistics | easy | What is the mean (average) of 99, 48, 90, 39, 25? | 60.2 | Mean = sum/count. Sum = 99+48+90+39+25=301. Count=5. Mean=301/5=60.2. | mean |
9,557 | word_problems | easy | If you have 94 apples and you buy 4 more apples, how many apples do you have in total? | 98 | Add initial 94 plus bought 4: 94+4=98. | addition_word |
9,558 | exponents | easy | What is 3^5? | 243 | 3^5 means multiply 3 by itself 5 times: 3*3*3*3*3 = 243. | exponents |
9,559 | geometry | easy | Find the perimeter of a rectangle with length 58 and width 58. | 232 | Perimeter = 2*(length+width) = 2*(58+58) = 2*116 = 232. | rectangle_perim |
9,560 | arithmetic | easy | What is 656 + 663? | 1319 | Add the two numbers: 656 + 663 = 1319. | basic_operations |
9,561 | arithmetic | easy | What is 990 - 849? | 141 | Subtract: 990 - 849 = 141. | basic_operations |
9,562 | arithmetic | easy | What is 4375 / 25? | 175 | Divide: 4375 ÷ 25 = 175 because 25*175=4375. | division |
9,563 | percentages | easy | What is 28% of 943? | 264.04 | Calculate 28/100 * 943 = 0.28*943 = 264.04. | percentages |
9,564 | statistics | easy | What is the mean (average) of 58, 83, 70? | 70.33 | Mean = sum/count. Sum = 58+83+70=211. Count=3. Mean=211/3=70.33. | mean |
9,565 | number_theory | medium | What is the GCD (greatest common divisor) of 49 and 68? | 1 | Find greatest number dividing both 49 and 68. Divisors common, greatest is 1. | gcd |
9,566 | word_problems | easy | If you have 53 candies and you buy 39 more candies, how many candies do you have in total? | 92 | Add initial 53 plus bought 39: 53+39=92. | addition_word |
9,567 | number_theory | medium | What is the GCD (greatest common divisor) of 5 and 46? | 1 | Find greatest number dividing both 5 and 46. Divisors common, greatest is 1. | gcd |
9,568 | statistics | easy | What is the mean (average) of 31, 89, 100, 73, 31? | 64.8 | Mean = sum/count. Sum = 31+89+100+73+31=324. Count=5. Mean=324/5=64.8. | mean |
9,569 | arithmetic | easy | What is 782 + 719? | 1501 | Add the two numbers: 782 + 719 = 1501. | basic_operations |
9,570 | number_theory | medium | What is the LCM (least common multiple) of 76 and 11? | 836 | LCM = |76*11| / GCD(76,11). GCD=1, so LCM=836/1=836. | lcm |
9,571 | fractions | medium | What is 8/4 + 16/20? Give as simplified fraction. | 14/5 | Common denominator 4*20=80. 8/4=160/80, 16/20=64/80. Sum = 224/80 = 14/5 simplified. | fraction_operations |
9,572 | 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 |
9,573 | arithmetic | easy | What is 617 - 532? | 85 | Subtract: 617 - 532 = 85. | basic_operations |
9,574 | arithmetic | easy | What is 81 * 38? | 3078 | Multiply: 81 * 38 = 3078. | basic_operations |
9,575 | number_theory | medium | What is the LCM (least common multiple) of 20 and 95? | 380 | LCM = |20*95| / GCD(20,95). GCD=5, so LCM=1900/5=380. | lcm |
9,576 | fractions | medium | What is 12/16 - 1/17? Give as simplified fraction. | 47/68 | Common denominator 272. Numerator 204-16=188. So 188/272 simplifies to 47/68. | fraction_operations |
9,577 | number_theory | medium | What is the LCM (least common multiple) of 1 and 74? | 74 | LCM = |1*74| / GCD(1,74). GCD=1, so LCM=74/1=74. | lcm |
9,578 | 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 |
9,579 | statistics | easy | What is the mean (average) of 83, 42, 55, 19, 84? | 56.6 | Mean = sum/count. Sum = 83+42+55+19+84=283. Count=5. Mean=283/5=56.6. | mean |
9,580 | algebra | medium | Solve for x: x^2 + 3x - 28 = 0 | x = 4, -7 | Factor: (x - 4)(x - -7) = x^2 -(-3)x + -28 = 0. So x = 4 or -7. Check sum = -3, product = -28. | quadratic |
9,581 | algebra | medium | Solve for x: x^2 + 7x - 30 = 0 | x = 3, -10 | Factor: (x - 3)(x - -10) = x^2 -(-7)x + -30 = 0. So x = 3 or -10. Check sum = -7, product = -30. | quadratic |
9,582 | algebra | easy | Solve for x: 13x + 50 = -158 | -16 | Subtract 50 from both sides: 13x = -158-50=-208. Then divide by 13: x = -208/13 = -16. | linear_equation |
9,583 | arithmetic | easy | What is 16352 / 73? | 224 | Divide: 16352 ÷ 73 = 224 because 73*224=16352. | division |
9,584 | arithmetic | easy | What is 1557 divided by 5? Give answer to 2 decimal places. | 311.4 | Calculate 1557/ 5 = 311.4000, rounded to 2 decimals is 311.4. | division |
9,585 | arithmetic | easy | What is 36 + 74 * 9? Remember order of operations. | 702 | Order of operations (PEMDAS): first 74*9=666, then 36+666=702. | basic_operations |
9,586 | arithmetic | easy | What is 670 + 479? | 1149 | Add the two numbers: 670 + 479 = 1149. | basic_operations |
9,587 | algebra | easy | Solve for x: 16x + 38 = 118 | 5 | Subtract 38 from both sides: 16x = 118-38=80. Then divide by 16: x = 80/16 = 5. | linear_equation |
9,588 | algebra | medium | Solve for x: x^2 + 4x - 60 = 0 | x = 6, -10 | Factor: (x - 6)(x - -10) = x^2 -(-4)x + -60 = 0. So x = 6 or -10. Check sum = -4, product = -60. | quadratic |
9,589 | number_theory | medium | What is the LCM (least common multiple) of 86 and 86? | 86 | LCM = |86*86| / GCD(86,86). GCD=86, so LCM=7396/86=86. | lcm |
9,590 | word_problems | easy | If you have 67 apples and you buy 32 more apples, how many apples do you have in total? | 99 | Add initial 67 plus bought 32: 67+32=99. | addition_word |
9,591 | arithmetic | easy | What is 688 + 285 * 76? Remember order of operations. | 22348 | Order of operations (PEMDAS): first 285*76=21660, then 688+21660=22348. | basic_operations |
9,592 | 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 |
9,593 | arithmetic | easy | What is 4341 divided by 15? Give answer to 2 decimal places. | 289.4 | Calculate 4341/ 15 = 289.4000, rounded to 2 decimals is 289.4. | division |
9,594 | calculus | medium | What is the derivative of 7x^4 with respect to x? | 28x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^4] = 7*4*x^3 = 28x^3. | derivative |
9,595 | arithmetic | easy | What is 988 + 503? | 1491 | Add the two numbers: 988 + 503 = 1491. | basic_operations |
9,596 | number_theory | medium | What is the GCD (greatest common divisor) of 50 and 90? | 10 | Find greatest number dividing both 50 and 90. Divisors common, greatest is 10. | gcd |
9,597 | algebra | medium | Solve for x: x^2 + 15x + 54 = 0 | x = -6, -9 | Factor: (x - -6)(x - -9) = x^2 -(-15)x + 54 = 0. So x = -6 or -9. Check sum = -15, product = 54. | quadratic |
9,598 | number_theory | medium | What is the LCM (least common multiple) of 16 and 27? | 432 | LCM = |16*27| / GCD(16,27). GCD=1, so LCM=432/1=432. | lcm |
9,599 | calculus | medium | What is the derivative of 10x^3 with respect to x? | 30x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^3] = 10*3*x^2 = 30x^2. | derivative |
9,600 | word_problems | easy | If you have 41 pencils and you buy 47 more pencils, how many pencils do you have in total? | 88 | Add initial 41 plus bought 47: 41+47=88. | addition_word |
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