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 |
|---|---|---|---|---|---|---|
11,501 | roots | easy | What is the square root of 400? | 20 | Find number that when squared gives 400. 20*20=400, so sqrt(400)=20. | square_roots |
11,502 | 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 |
11,503 | arithmetic | easy | What is 1 + 25 * 61? Remember order of operations. | 1526 | Order of operations (PEMDAS): first 25*61=1525, then 1+1525=1526. | basic_operations |
11,504 | arithmetic | easy | What is 34692 divided by 85? Give answer to 2 decimal places. | 408.14 | Calculate 34692/ 85 = 408.1412, rounded to 2 decimals is 408.14. | division |
11,505 | calculus | medium | What is the derivative of 8x^2 with respect to x? | 16x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^2] = 8*2*x^1 = 16x. | derivative |
11,506 | arithmetic | easy | What is 5 + 15 * 27? Remember order of operations. | 410 | Order of operations (PEMDAS): first 15*27=405, then 5+405=410. | basic_operations |
11,507 | algebra | easy | Solve for x: 15x - 23 = 187 | 14 | Add 23 to both sides: 15x = 187+23=210. Then x = 210/15 = 14. | linear_equation |
11,508 | percentages | easy | What is 12% of 681? | 81.72 | Calculate 12/100 * 681 = 0.12*681 = 81.72. | percentages |
11,509 | arithmetic | easy | What is 466 + 167? | 633 | Add the two numbers: 466 + 167 = 633. | basic_operations |
11,510 | statistics | easy | What is the mean (average) of 49, 46, 55, 34, 2? | 37.2 | Mean = sum/count. Sum = 49+46+55+34+2=186. Count=5. Mean=186/5=37.2. | mean |
11,511 | arithmetic | easy | What is 100 * 84? | 8400 | Multiply: 100 * 84 = 8400. | basic_operations |
11,512 | roots | easy | What is the square root of 361? | 19 | Find number that when squared gives 361. 19*19=361, so sqrt(361)=19. | square_roots |
11,513 | algebra | easy | Solve for x: 13x + 42 = -179 | -17 | Subtract 42 from both sides: 13x = -179-42=-221. Then divide by 13: x = -221/13 = -17. | linear_equation |
11,514 | word_problems | easy | If you have 75 dollars and you buy 10 more dollars, how many dollars do you have in total? | 85 | Add initial 75 plus bought 10: 75+10=85. | addition_word |
11,515 | arithmetic | easy | What is 126 + 432 * 36? Remember order of operations. | 15678 | Order of operations (PEMDAS): first 432*36=15552, then 126+15552=15678. | basic_operations |
11,516 | algebra | medium | Solve for x: x^2 + 9x + 8 = 0 | x = -1, -8 | Factor: (x - -1)(x - -8) = x^2 -(-9)x + 8 = 0. So x = -1 or -8. Check sum = -9, product = 8. | quadratic |
11,517 | arithmetic | easy | What is 15300 / 34? | 450 | Divide: 15300 ÷ 34 = 450 because 34*450=15300. | division |
11,518 | exponents | easy | What is 12^5? | 248832 | 12^5 means multiply 12 by itself 5 times: 12*12*12*12*12 = 248832. | exponents |
11,519 | 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 |
11,520 | geometry | easy | Find the area of a triangle with base 19 and height 17. | 161.5 | Area = 0.5*base*height = 0.5*19*17 = 161.5. | triangle_area |
11,521 | percentages | easy | What is 8% of 660? | 52.8 | Calculate 8/100 * 660 = 0.08*660 = 52.8. | percentages |
11,522 | 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 |
11,523 | algebra | easy | Solve for x: 3x - 40 = -19 | 7 | Add 40 to both sides: 3x = -19+40=21. Then x = 21/3 = 7. | linear_equation |
11,524 | geometry | easy | Find the circumference of a circle with radius 4. Use pi=3.14159, round to 2 decimals. | 25.13 | Circumference = 2*pi*r = 2*3.14159*4 = 25.13. | circle_circum |
11,525 | percentages | easy | What is 67% of 827? | 554.09 | Calculate 67/100 * 827 = 0.67*827 = 554.09. | percentages |
11,526 | number_theory | medium | What is the LCM (least common multiple) of 13 and 81? | 1053 | LCM = |13*81| / GCD(13,81). GCD=1, so LCM=1053/1=1053. | lcm |
11,527 | algebra | easy | Solve for x: 8x - 15 = 41 | 7 | Add 15 to both sides: 8x = 41+15=56. Then x = 56/8 = 7. | linear_equation |
11,528 | calculus | medium | What is the derivative of 3x^4 with respect to x? | 12x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^4] = 3*4*x^3 = 12x^3. | derivative |
11,529 | arithmetic | easy | What is 866 - 772? | 94 | Subtract: 866 - 772 = 94. | basic_operations |
11,530 | 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 |
11,531 | percentages | easy | What is 13% of 970? | 126.1 | Calculate 13/100 * 970 = 0.13*970 = 126.1. | percentages |
11,532 | 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 |
11,533 | geometry | easy | Find the area of a triangle with base 41 and height 2. | 41 | Area = 0.5*base*height = 0.5*41*2 = 41. | triangle_area |
11,534 | 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 |
11,535 | 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 |
11,536 | exponents | easy | What is 3^2? | 9 | 3^2 means multiply 3 by itself 2 times: 3*3 = 9. | exponents |
11,537 | fractions | medium | What is 16/5 * 8/11? Give as simplified fraction. | 128/55 | Multiply numerators: 16*8=128. Denominators: 5*11=55. Simplify by gcd 1 to get 128/55. | fraction_operations |
11,538 | 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 |
11,539 | percentages | easy | What is 81% of 108? | 87.48 | Calculate 81/100 * 108 = 0.81*108 = 87.48. | percentages |
11,540 | arithmetic | easy | What is 88 * 6? | 528 | Multiply: 88 * 6 = 528. | basic_operations |
11,541 | 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 |
11,542 | roots | easy | What is the square root of 841? | 29 | Find number that when squared gives 841. 29*29=841, so sqrt(841)=29. | square_roots |
11,543 | calculus | medium | What is the derivative of 2x^2 with respect to x? | 4x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^2] = 2*2*x^1 = 4x. | derivative |
11,544 | percentages | easy | What is 2% of 281? | 5.62 | Calculate 2/100 * 281 = 0.02*281 = 5.62. | percentages |
11,545 | arithmetic | easy | What is 31395 / 91? | 345 | Divide: 31395 ÷ 91 = 345 because 91*345=31395. | division |
11,546 | exponents | easy | What is 9^4? | 6561 | 9^4 means multiply 9 by itself 4 times: 9*9*9*9 = 6561. | exponents |
11,547 | statistics | easy | What is the mean (average) of 31, 35, 90? | 52 | Mean = sum/count. Sum = 31+35+90=156. Count=3. Mean=156/3=52.0. | mean |
11,548 | percentages | easy | What is 48% of 671? | 322.08 | Calculate 48/100 * 671 = 0.48*671 = 322.08. | percentages |
11,549 | statistics | easy | What is the mean (average) of 56, 98, 78? | 77.33 | Mean = sum/count. Sum = 56+98+78=232. Count=3. Mean=232/3=77.33. | mean |
11,550 | statistics | easy | What is the mean (average) of 13, 86, 55? | 51.33 | Mean = sum/count. Sum = 13+86+55=154. Count=3. Mean=154/3=51.33. | mean |
11,551 | number_theory | medium | What is the GCD (greatest common divisor) of 20 and 47? | 1 | Find greatest number dividing both 20 and 47. Divisors common, greatest is 1. | gcd |
11,552 | arithmetic | easy | What is 829 - 682? | 147 | Subtract: 829 - 682 = 147. | basic_operations |
11,553 | roots | easy | What is the square root of 16? | 4 | Find number that when squared gives 16. 4*4=16, so sqrt(16)=4. | square_roots |
11,554 | geometry | easy | Find the area of a rectangle with length 73 and width 28. | 2044 | Area = length * width = 73*28 = 2044. | rectangle_area |
11,555 | statistics | easy | What is the mean (average) of 11, 96, 15? | 40.67 | Mean = sum/count. Sum = 11+96+15=122. Count=3. Mean=122/3=40.67. | mean |
11,556 | roots | easy | What is the square root of 1600? | 40 | Find number that when squared gives 1600. 40*40=1600, so sqrt(1600)=40. | square_roots |
11,557 | 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 |
11,558 | word_problems | easy | If you have 39 apples and you buy 42 more apples, how many apples do you have in total? | 81 | Add initial 39 plus bought 42: 39+42=81. | addition_word |
11,559 | number_theory | medium | What is the GCD (greatest common divisor) of 22 and 73? | 1 | Find greatest number dividing both 22 and 73. Divisors common, greatest is 1. | gcd |
11,560 | roots | easy | What is the square root of 2209? | 47 | Find number that when squared gives 2209. 47*47=2209, so sqrt(2209)=47. | square_roots |
11,561 | number_theory | medium | What is the LCM (least common multiple) of 5 and 77? | 385 | LCM = |5*77| / GCD(5,77). GCD=1, so LCM=385/1=385. | lcm |
11,562 | statistics | easy | What is the mean (average) of 20, 65, 9, 68, 35? | 39.4 | Mean = sum/count. Sum = 20+65+9+68+35=197. Count=5. Mean=197/5=39.4. | mean |
11,563 | word_problems | easy | If you have 98 candies and you buy 10 more candies, how many candies do you have in total? | 108 | Add initial 98 plus bought 10: 98+10=108. | addition_word |
11,564 | 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 |
11,565 | 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 |
11,566 | algebra | medium | Solve for x: x^2 + 9x + 8 = 0 | x = -1, -8 | Factor: (x - -1)(x - -8) = x^2 -(-9)x + 8 = 0. So x = -1 or -8. Check sum = -9, product = 8. | quadratic |
11,567 | 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 |
11,568 | arithmetic | easy | What is 3978 / 13? | 306 | Divide: 3978 ÷ 13 = 306 because 13*306=3978. | division |
11,569 | arithmetic | easy | What is 82 + 49 * 93? Remember order of operations. | 4639 | Order of operations (PEMDAS): first 49*93=4557, then 82+4557=4639. | basic_operations |
11,570 | statistics | easy | What is the mean (average) of 83, 79, 4, 66, 69? | 60.2 | Mean = sum/count. Sum = 83+79+4+66+69=301. Count=5. Mean=301/5=60.2. | mean |
11,571 | arithmetic | easy | What is 404 + 515? | 919 | Add the two numbers: 404 + 515 = 919. | basic_operations |
11,572 | algebra | easy | Solve for x: 4x + 8 = 76 | 17 | Subtract 8 from both sides: 4x = 76-8=68. Then divide by 4: x = 68/4 = 17. | linear_equation |
11,573 | roots | easy | What is the square root of 1521? | 39 | Find number that when squared gives 1521. 39*39=1521, so sqrt(1521)=39. | square_roots |
11,574 | algebra | easy | Solve for x: 18x - 31 = -211 | -10 | Add 31 to both sides: 18x = -211+31=-180. Then x = -180/18 = -10. | linear_equation |
11,575 | fractions | medium | What is 8/4 - 6/12? Give as simplified fraction. | 3/2 | Common denominator 48. Numerator 96-24=72. So 72/48 simplifies to 3/2. | fraction_operations |
11,576 | statistics | easy | What is the mean (average) of 18, 45, 1, 89? | 38.25 | Mean = sum/count. Sum = 18+45+1+89=153. Count=4. Mean=153/4=38.25. | mean |
11,577 | fractions | medium | What is 17/13 - 14/5? Give as simplified fraction. | -97/65 | Common denominator 65. Numerator 85-182=-97. So -97/65 simplifies to -97/65. | fraction_operations |
11,578 | 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 |
11,579 | geometry | easy | Find the area of a rectangle with length 25 and width 36. | 900 | Area = length * width = 25*36 = 900. | rectangle_area |
11,580 | algebra | medium | Solve for x: x^2 - 15x + 50 = 0 | x = 5, 10 | Factor: (x - 5)(x - 10) = x^2 -(15)x + 50 = 0. So x = 5 or 10. Check sum = 15, product = 50. | quadratic |
11,581 | statistics | easy | What is the mean (average) of 19, 26, 41? | 28.67 | Mean = sum/count. Sum = 19+26+41=86. Count=3. Mean=86/3=28.67. | mean |
11,582 | statistics | easy | What is the mean (average) of 90, 63, 33? | 62 | Mean = sum/count. Sum = 90+63+33=186. Count=3. Mean=186/3=62.0. | mean |
11,583 | algebra | medium | Solve for x: x^2 + 8x + 7 = 0 | x = -7, -1 | Factor: (x - -7)(x - -1) = x^2 -(-8)x + 7 = 0. So x = -7 or -1. Check sum = -8, product = 7. | quadratic |
11,584 | algebra | easy | Solve for x: 1x + 27 = 23 | -4 | Subtract 27 from both sides: 1x = 23-27=-4. Then divide by 1: x = -4/1 = -4. | linear_equation |
11,585 | algebra | medium | Solve for x: x^2 + 5x - 36 = 0 | x = -9, 4 | Factor: (x - -9)(x - 4) = x^2 -(-5)x + -36 = 0. So x = -9 or 4. Check sum = -5, product = -36. | quadratic |
11,586 | percentages | easy | What is 62% of 268? | 166.16 | Calculate 62/100 * 268 = 0.62*268 = 166.16. | percentages |
11,587 | arithmetic | easy | What is 16350 divided by 49? Give answer to 2 decimal places. | 333.67 | Calculate 16350/ 49 = 333.6735, rounded to 2 decimals is 333.67. | division |
11,588 | arithmetic | easy | What is 726 + 633 * 79? Remember order of operations. | 50733 | Order of operations (PEMDAS): first 633*79=50007, then 726+50007=50733. | basic_operations |
11,589 | arithmetic | easy | What is 18 * 85? | 1530 | Multiply: 18 * 85 = 1530. | basic_operations |
11,590 | 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 |
11,591 | arithmetic | easy | What is 885 - 785? | 100 | Subtract: 885 - 785 = 100. | basic_operations |
11,592 | statistics | easy | What is the mean (average) of 78, 91, 78, 29? | 69 | Mean = sum/count. Sum = 78+91+78+29=276. Count=4. Mean=276/4=69.0. | mean |
11,593 | calculus | medium | What is the derivative of 3x^4 with respect to x? | 12x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^4] = 3*4*x^3 = 12x^3. | derivative |
11,594 | statistics | easy | What is the mean (average) of 59, 75, 45? | 59.67 | Mean = sum/count. Sum = 59+75+45=179. Count=3. Mean=179/3=59.67. | mean |
11,595 | word_problems | easy | If you have 24 pencils and you buy 15 more pencils, how many pencils do you have in total? | 39 | Add initial 24 plus bought 15: 24+15=39. | addition_word |
11,596 | arithmetic | easy | What is 27552 / 56? | 492 | Divide: 27552 ÷ 56 = 492 because 56*492=27552. | division |
11,597 | algebra | easy | Solve for x: 19x - 31 = -316 | -15 | Add 31 to both sides: 19x = -316+31=-285. Then x = -285/19 = -15. | linear_equation |
11,598 | percentages | easy | What is 42% of 107? | 44.94 | Calculate 42/100 * 107 = 0.42*107 = 44.94. | percentages |
11,599 | arithmetic | easy | What is 39130 / 86? | 455 | Divide: 39130 ÷ 86 = 455 because 86*455=39130. | division |
11,600 | percentages | easy | What is 84% of 213? | 178.92 | Calculate 84/100 * 213 = 0.84*213 = 178.92. | percentages |
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