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 |
|---|---|---|---|---|---|---|
7,501 | percentages | easy | What is 24% of 752? | 180.48 | Calculate 24/100 * 752 = 0.24*752 = 180.48. | percentages |
7,502 | percentages | easy | What is 56% of 321? | 179.76 | Calculate 56/100 * 321 = 0.56*321 = 179.76. | percentages |
7,503 | exponents | easy | What is 2^2? | 4 | 2^2 means multiply 2 by itself 2 times: 2*2 = 4. | exponents |
7,504 | arithmetic | easy | What is 34425 / 85? | 405 | Divide: 34425 ÷ 85 = 405 because 85*405=34425. | division |
7,505 | geometry | easy | Find the perimeter of a rectangle with length 38 and width 98. | 272 | Perimeter = 2*(length+width) = 2*(38+98) = 2*136 = 272. | rectangle_perim |
7,506 | geometry | easy | Find the perimeter of a rectangle with length 86 and width 86. | 344 | Perimeter = 2*(length+width) = 2*(86+86) = 2*172 = 344. | rectangle_perim |
7,507 | arithmetic | easy | What is 162 + 710? | 872 | Add the two numbers: 162 + 710 = 872. | basic_operations |
7,508 | number_theory | medium | What is the LCM (least common multiple) of 1 and 90? | 90 | LCM = |1*90| / GCD(1,90). GCD=1, so LCM=90/1=90. | lcm |
7,509 | word_problems | easy | If you have 57 apples and you buy 23 more apples, how many apples do you have in total? | 80 | Add initial 57 plus bought 23: 57+23=80. | addition_word |
7,510 | arithmetic | easy | What is 32865 divided by 87? Give answer to 2 decimal places. | 377.76 | Calculate 32865/ 87 = 377.7586, rounded to 2 decimals is 377.76. | division |
7,511 | arithmetic | easy | What is 345 + 427? | 772 | Add the two numbers: 345 + 427 = 772. | basic_operations |
7,512 | exponents | easy | What is 3^4? | 81 | 3^4 means multiply 3 by itself 4 times: 3*3*3*3 = 81. | exponents |
7,513 | statistics | easy | What is the mean (average) of 25, 80, 70, 80? | 63.75 | Mean = sum/count. Sum = 25+80+70+80=255. Count=4. Mean=255/4=63.75. | mean |
7,514 | arithmetic | easy | What is 919 + 198? | 1117 | Add the two numbers: 919 + 198 = 1117. | basic_operations |
7,515 | algebra | easy | Solve for x: 10x - 9 = -159 | -15 | Add 9 to both sides: 10x = -159+9=-150. Then x = -150/10 = -15. | linear_equation |
7,516 | arithmetic | easy | What is 932 - 521? | 411 | Subtract: 932 - 521 = 411. | basic_operations |
7,517 | arithmetic | easy | What is 659 - 28? | 631 | Subtract: 659 - 28 = 631. | basic_operations |
7,518 | geometry | easy | Find the perimeter of a rectangle with length 96 and width 74. | 340 | Perimeter = 2*(length+width) = 2*(96+74) = 2*170 = 340. | rectangle_perim |
7,519 | algebra | medium | Solve for x: x^2 - 1x - 90 = 0 | x = -9, 10 | Factor: (x - -9)(x - 10) = x^2 -(1)x + -90 = 0. So x = -9 or 10. Check sum = 1, product = -90. | quadratic |
7,520 | 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 |
7,521 | calculus | medium | What is the derivative of 7x^7 with respect to x? | 49x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^7] = 7*7*x^6 = 49x^6. | derivative |
7,522 | 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 |
7,523 | 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 |
7,524 | algebra | medium | Solve for x: x^2 - 3x - 40 = 0 | x = -5, 8 | Factor: (x - -5)(x - 8) = x^2 -(3)x + -40 = 0. So x = -5 or 8. Check sum = 3, product = -40. | quadratic |
7,525 | number_theory | medium | What is the LCM (least common multiple) of 30 and 30? | 30 | LCM = |30*30| / GCD(30,30). GCD=30, so LCM=900/30=30. | lcm |
7,526 | arithmetic | easy | What is 583 + 257? | 840 | Add the two numbers: 583 + 257 = 840. | basic_operations |
7,527 | fractions | medium | What is 20/2 - 20/9? Give as simplified fraction. | 70/9 | Common denominator 18. Numerator 180-40=140. So 140/18 simplifies to 70/9. | fraction_operations |
7,528 | algebra | easy | Solve for x: 9x + 33 = 213 | 20 | Subtract 33 from both sides: 9x = 213-33=180. Then divide by 9: x = 180/9 = 20. | linear_equation |
7,529 | algebra | easy | Solve for x: 10x - 50 = -10 | 4 | Add 50 to both sides: 10x = -10+50=40. Then x = 40/10 = 4. | linear_equation |
7,530 | 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 |
7,531 | algebra | medium | Solve for x: x^2 - 2x - 24 = 0 | x = 6, -4 | Factor: (x - 6)(x - -4) = x^2 -(2)x + -24 = 0. So x = 6 or -4. Check sum = 2, product = -24. | quadratic |
7,532 | geometry | easy | Find the circumference of a circle with radius 13. Use pi=3.14159, round to 2 decimals. | 81.68 | Circumference = 2*pi*r = 2*3.14159*13 = 81.68. | circle_circum |
7,533 | fractions | medium | What is 10/18 + 18/9? Give as simplified fraction. | 23/9 | Common denominator 18*9=162. 10/18=90/162, 18/9=324/162. Sum = 414/162 = 23/9 simplified. | fraction_operations |
7,534 | geometry | easy | Find the perimeter of a rectangle with length 61 and width 48. | 218 | Perimeter = 2*(length+width) = 2*(61+48) = 2*109 = 218. | rectangle_perim |
7,535 | arithmetic | easy | What is 25969 divided by 96? Give answer to 2 decimal places. | 270.51 | Calculate 25969/ 96 = 270.5104, rounded to 2 decimals is 270.51. | division |
7,536 | geometry | easy | Find the area of a rectangle with length 65 and width 56. | 3640 | Area = length * width = 65*56 = 3640. | rectangle_area |
7,537 | number_theory | medium | What is the LCM (least common multiple) of 37 and 23? | 851 | LCM = |37*23| / GCD(37,23). GCD=1, so LCM=851/1=851. | lcm |
7,538 | percentages | easy | What is 94% of 576? | 541.44 | Calculate 94/100 * 576 = 0.94*576 = 541.44. | percentages |
7,539 | algebra | medium | Solve for x: x^2 - 11x + 18 = 0 | x = 2, 9 | Factor: (x - 2)(x - 9) = x^2 -(11)x + 18 = 0. So x = 2 or 9. Check sum = 11, product = 18. | quadratic |
7,540 | algebra | easy | Solve for x: 18x - 8 = 10 | 1 | Add 8 to both sides: 18x = 10+8=18. Then x = 18/18 = 1. | linear_equation |
7,541 | arithmetic | easy | What is 461 - 276? | 185 | Subtract: 461 - 276 = 185. | basic_operations |
7,542 | arithmetic | easy | What is 592 + 883? | 1475 | Add the two numbers: 592 + 883 = 1475. | basic_operations |
7,543 | number_theory | medium | What is the LCM (least common multiple) of 78 and 35? | 2730 | LCM = |78*35| / GCD(78,35). GCD=1, so LCM=2730/1=2730. | lcm |
7,544 | arithmetic | easy | What is 55 * 37? | 2035 | Multiply: 55 * 37 = 2035. | basic_operations |
7,545 | 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 |
7,546 | arithmetic | easy | What is 12896 / 62? | 208 | Divide: 12896 ÷ 62 = 208 because 62*208=12896. | division |
7,547 | geometry | easy | Find the circumference of a circle with radius 8. Use pi=3.14159, round to 2 decimals. | 50.27 | Circumference = 2*pi*r = 2*3.14159*8 = 50.27. | circle_circum |
7,548 | fractions | medium | What is 1/3 - 19/20? Give as simplified fraction. | -37/60 | Common denominator 60. Numerator 20-57=-37. So -37/60 simplifies to -37/60. | fraction_operations |
7,549 | geometry | easy | Find the perimeter of a rectangle with length 71 and width 66. | 274 | Perimeter = 2*(length+width) = 2*(71+66) = 2*137 = 274. | rectangle_perim |
7,550 | word_problems | easy | If you have 32 dollars and you buy 18 more dollars, how many dollars do you have in total? | 50 | Add initial 32 plus bought 18: 32+18=50. | addition_word |
7,551 | calculus | medium | What is the derivative of 7x^7 with respect to x? | 49x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^7] = 7*7*x^6 = 49x^6. | derivative |
7,552 | 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 |
7,553 | word_problems | easy | If you have 80 pencils and you buy 35 more pencils, how many pencils do you have in total? | 115 | Add initial 80 plus bought 35: 80+35=115. | addition_word |
7,554 | 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 |
7,555 | 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 |
7,556 | arithmetic | easy | What is 21540 / 60? | 359 | Divide: 21540 ÷ 60 = 359 because 60*359=21540. | division |
7,557 | 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 |
7,558 | arithmetic | easy | What is 57 + 11 * 34? Remember order of operations. | 431 | Order of operations (PEMDAS): first 11*34=374, then 57+374=431. | basic_operations |
7,559 | fractions | medium | What is 17/10 - 15/5? Give as simplified fraction. | -13/10 | Common denominator 50. Numerator 85-150=-65. So -65/50 simplifies to -13/10. | fraction_operations |
7,560 | calculus | medium | What is the derivative of 6x^5 with respect to x? | 30x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^5] = 6*5*x^4 = 30x^4. | derivative |
7,561 | 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 |
7,562 | roots | easy | What is the square root of 1? | 1 | Find number that when squared gives 1. 1*1=1, so sqrt(1)=1. | square_roots |
7,563 | roots | easy | What is the square root of 25? | 5 | Find number that when squared gives 25. 5*5=25, so sqrt(25)=5. | square_roots |
7,564 | 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 |
7,565 | arithmetic | easy | What is 12852 / 51? | 252 | Divide: 12852 ÷ 51 = 252 because 51*252=12852. | division |
7,566 | geometry | easy | Find the area of a triangle with base 93 and height 88. | 4092 | Area = 0.5*base*height = 0.5*93*88 = 4092. | triangle_area |
7,567 | 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 |
7,568 | fractions | medium | What is 12/15 - 19/18? Give as simplified fraction. | -23/90 | Common denominator 270. Numerator 216-285=-69. So -69/270 simplifies to -23/90. | fraction_operations |
7,569 | arithmetic | easy | What is 1000 - 905? | 95 | Subtract: 1000 - 905 = 95. | basic_operations |
7,570 | arithmetic | easy | What is 662 - 344? | 318 | Subtract: 662 - 344 = 318. | basic_operations |
7,571 | percentages | easy | What is 63% of 352? | 221.76 | Calculate 63/100 * 352 = 0.63*352 = 221.76. | percentages |
7,572 | exponents | easy | What is 2^3? | 8 | 2^3 means multiply 2 by itself 3 times: 2*2*2 = 8. | exponents |
7,573 | geometry | easy | Find the perimeter of a rectangle with length 72 and width 56. | 256 | Perimeter = 2*(length+width) = 2*(72+56) = 2*128 = 256. | rectangle_perim |
7,574 | arithmetic | easy | What is 76 * 22? | 1672 | Multiply: 76 * 22 = 1672. | basic_operations |
7,575 | word_problems | easy | If you have 20 apples and you buy 20 more apples, how many apples do you have in total? | 40 | Add initial 20 plus bought 20: 20+20=40. | addition_word |
7,576 | algebra | easy | Solve for x: 11x - 43 = -98 | -5 | Add 43 to both sides: 11x = -98+43=-55. Then x = -55/11 = -5. | linear_equation |
7,577 | 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 |
7,578 | statistics | easy | What is the mean (average) of 96, 23, 97, 49? | 66.25 | Mean = sum/count. Sum = 96+23+97+49=265. Count=4. Mean=265/4=66.25. | mean |
7,579 | exponents | easy | What is 10^2? | 100 | 10^2 means multiply 10 by itself 2 times: 10*10 = 100. | exponents |
7,580 | 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 |
7,581 | percentages | easy | What is 67% of 663? | 444.21 | Calculate 67/100 * 663 = 0.67*663 = 444.21. | percentages |
7,582 | exponents | easy | What is 11^3? | 1331 | 11^3 means multiply 11 by itself 3 times: 11*11*11 = 1331. | exponents |
7,583 | 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 |
7,584 | arithmetic | easy | What is 688 - 395? | 293 | Subtract: 688 - 395 = 293. | basic_operations |
7,585 | percentages | easy | What is 3% of 738? | 22.14 | Calculate 3/100 * 738 = 0.03*738 = 22.14. | percentages |
7,586 | arithmetic | easy | What is 23 + 789? | 812 | Add the two numbers: 23 + 789 = 812. | basic_operations |
7,587 | calculus | medium | What is the derivative of 6x^6 with respect to x? | 36x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^6] = 6*6*x^5 = 36x^5. | derivative |
7,588 | arithmetic | easy | What is 27 * 1? | 27 | Multiply: 27 * 1 = 27. | basic_operations |
7,589 | number_theory | medium | What is the LCM (least common multiple) of 19 and 91? | 1729 | LCM = |19*91| / GCD(19,91). GCD=1, so LCM=1729/1=1729. | lcm |
7,590 | word_problems | easy | If you have 49 candies and you buy 34 more candies, how many candies do you have in total? | 83 | Add initial 49 plus bought 34: 49+34=83. | addition_word |
7,591 | statistics | easy | What is the mean (average) of 28, 50, 42? | 40 | Mean = sum/count. Sum = 28+50+42=120. Count=3. Mean=120/3=40.0. | mean |
7,592 | 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 |
7,593 | arithmetic | easy | What is 969 + 199 * 96? Remember order of operations. | 20073 | Order of operations (PEMDAS): first 199*96=19104, then 969+19104=20073. | basic_operations |
7,594 | exponents | easy | What is 12^4? | 20736 | 12^4 means multiply 12 by itself 4 times: 12*12*12*12 = 20736. | exponents |
7,595 | fractions | medium | What is 20/10 * 13/18? Give as simplified fraction. | 13/9 | Multiply numerators: 20*13=260. Denominators: 10*18=180. Simplify by gcd 20 to get 13/9. | fraction_operations |
7,596 | 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 |
7,597 | percentages | easy | What is 14% of 551? | 77.14 | Calculate 14/100 * 551 = 0.14*551 = 77.14. | percentages |
7,598 | arithmetic | easy | What is 691 + 987 * 20? Remember order of operations. | 20431 | Order of operations (PEMDAS): first 987*20=19740, then 691+19740=20431. | basic_operations |
7,599 | word_problems | easy | If you have 91 apples and you buy 27 more apples, how many apples do you have in total? | 118 | Add initial 91 plus bought 27: 91+27=118. | addition_word |
7,600 | statistics | easy | What is the mean (average) of 96, 7, 58, 29, 16? | 41.2 | Mean = sum/count. Sum = 96+7+58+29+16=206. Count=5. Mean=206/5=41.2. | mean |
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