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 |
|---|---|---|---|---|---|---|
5,501 | percentages | easy | What is 69% of 894? | 616.86 | Calculate 69/100 * 894 = 0.69*894 = 616.86. | percentages |
5,502 | word_problems | easy | If you have 24 candies and you buy 44 more candies, how many candies do you have in total? | 68 | Add initial 24 plus bought 44: 24+44=68. | addition_word |
5,503 | algebra | easy | Solve for x: 11x + 14 = -162 | -16 | Subtract 14 from both sides: 11x = -162-14=-176. Then divide by 11: x = -176/11 = -16. | linear_equation |
5,504 | algebra | medium | Solve for x: x^2 + 6x = 0 | x = -6, 0 | Factor: (x - -6)(x - 0) = x^2 -(-6)x + 0 = 0. So x = -6 or 0. Check sum = -6, product = 0. | quadratic |
5,505 | arithmetic | easy | What is 44 * 50? | 2200 | Multiply: 44 * 50 = 2200. | basic_operations |
5,506 | exponents | easy | What is 6^3? | 216 | 6^3 means multiply 6 by itself 3 times: 6*6*6 = 216. | exponents |
5,507 | percentages | easy | What is 63% of 256? | 161.28 | Calculate 63/100 * 256 = 0.63*256 = 161.28. | percentages |
5,508 | fractions | medium | What is 15/20 + 3/7? Give as simplified fraction. | 33/28 | Common denominator 20*7=140. 15/20=105/140, 3/7=60/140. Sum = 165/140 = 33/28 simplified. | fraction_operations |
5,509 | algebra | easy | Solve for x: 3x - 39 = -90 | -17 | Add 39 to both sides: 3x = -90+39=-51. Then x = -51/3 = -17. | linear_equation |
5,510 | arithmetic | easy | What is 16215 / 69? | 235 | Divide: 16215 ÷ 69 = 235 because 69*235=16215. | division |
5,511 | percentages | easy | What is 90% of 355? | 319.5 | Calculate 90/100 * 355 = 0.9*355 = 319.5. | percentages |
5,512 | 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 |
5,513 | arithmetic | easy | What is 939 - 686? | 253 | Subtract: 939 - 686 = 253. | basic_operations |
5,514 | statistics | easy | What is the mean (average) of 89, 5, 81, 29? | 51 | Mean = sum/count. Sum = 89+5+81+29=204. Count=4. Mean=204/4=51.0. | mean |
5,515 | algebra | easy | Solve for x: 12x - 37 = 167 | 17 | Add 37 to both sides: 12x = 167+37=204. Then x = 204/12 = 17. | linear_equation |
5,516 | geometry | easy | Find the area of a circle with radius 12. Use pi=3.14159, round to 2 decimals. | 452.39 | Area = pi*r^2 = 3.14159*12^2 = 3.14159*144 = 452.39. | circle_area |
5,517 | 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 |
5,518 | arithmetic | easy | What is 3445 / 65? | 53 | Divide: 3445 ÷ 65 = 53 because 65*53=3445. | division |
5,519 | algebra | easy | Solve for x: 16x - 1 = -65 | -4 | Add 1 to both sides: 16x = -65+1=-64. Then x = -64/16 = -4. | linear_equation |
5,520 | percentages | easy | What is 29% of 571? | 165.59 | Calculate 29/100 * 571 = 0.29*571 = 165.59. | percentages |
5,521 | word_problems | easy | If you have 28 apples and you buy 11 more apples, how many apples do you have in total? | 39 | Add initial 28 plus bought 11: 28+11=39. | addition_word |
5,522 | number_theory | medium | What is the GCD (greatest common divisor) of 38 and 20? | 2 | Find greatest number dividing both 38 and 20. Divisors common, greatest is 2. | gcd |
5,523 | arithmetic | easy | What is 4550 / 50? | 91 | Divide: 4550 ÷ 50 = 91 because 50*91=4550. | division |
5,524 | geometry | easy | Find the area of a triangle with base 83 and height 49. | 2033.5 | Area = 0.5*base*height = 0.5*83*49 = 2033.5. | triangle_area |
5,525 | fractions | medium | What is 7/2 + 18/8? Give as simplified fraction. | 23/4 | Common denominator 2*8=16. 7/2=56/16, 18/8=36/16. Sum = 92/16 = 23/4 simplified. | fraction_operations |
5,526 | exponents | easy | What is 6^4? | 1296 | 6^4 means multiply 6 by itself 4 times: 6*6*6*6 = 1296. | exponents |
5,527 | word_problems | easy | If you have 7 pencils and you buy 20 more pencils, how many pencils do you have in total? | 27 | Add initial 7 plus bought 20: 7+20=27. | addition_word |
5,528 | statistics | easy | What is the mean (average) of 77, 75, 43, 2, 35? | 46.4 | Mean = sum/count. Sum = 77+75+43+2+35=232. Count=5. Mean=232/5=46.4. | mean |
5,529 | word_problems | easy | If you have 7 apples and you buy 11 more apples, how many apples do you have in total? | 18 | Add initial 7 plus bought 11: 7+11=18. | addition_word |
5,530 | number_theory | medium | What is the LCM (least common multiple) of 79 and 88? | 6952 | LCM = |79*88| / GCD(79,88). GCD=1, so LCM=6952/1=6952. | lcm |
5,531 | number_theory | medium | What is the LCM (least common multiple) of 10 and 79? | 790 | LCM = |10*79| / GCD(10,79). GCD=1, so LCM=790/1=790. | lcm |
5,532 | fractions | medium | What is 15/17 - 9/7? Give as simplified fraction. | -48/119 | Common denominator 119. Numerator 105-153=-48. So -48/119 simplifies to -48/119. | fraction_operations |
5,533 | 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 |
5,534 | fractions | medium | What is 6/12 - 14/9? Give as simplified fraction. | -19/18 | Common denominator 108. Numerator 54-168=-114. So -114/108 simplifies to -19/18. | fraction_operations |
5,535 | algebra | medium | Solve for x: x^2 - 9x + 20 = 0 | x = 4, 5 | Factor: (x - 4)(x - 5) = x^2 -(9)x + 20 = 0. So x = 4 or 5. Check sum = 9, product = 20. | quadratic |
5,536 | statistics | easy | What is the mean (average) of 22, 21, 46, 73? | 40.5 | Mean = sum/count. Sum = 22+21+46+73=162. Count=4. Mean=162/4=40.5. | mean |
5,537 | algebra | easy | Solve for x: 1x + 3 = -12 | -15 | Subtract 3 from both sides: 1x = -12-3=-15. Then divide by 1: x = -15/1 = -15. | linear_equation |
5,538 | calculus | medium | What is the derivative of 9x^4 with respect to x? | 36x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^4] = 9*4*x^3 = 36x^3. | derivative |
5,539 | arithmetic | easy | What is 146 + 829 * 78? Remember order of operations. | 64808 | Order of operations (PEMDAS): first 829*78=64662, then 146+64662=64808. | basic_operations |
5,540 | number_theory | medium | What is the GCD (greatest common divisor) of 74 and 93? | 1 | Find greatest number dividing both 74 and 93. Divisors common, greatest is 1. | gcd |
5,541 | algebra | easy | Solve for x: 19x - 14 = -261 | -13 | Add 14 to both sides: 19x = -261+14=-247. Then x = -247/19 = -13. | linear_equation |
5,542 | arithmetic | easy | What is 947 + 331 * 99? Remember order of operations. | 33716 | Order of operations (PEMDAS): first 331*99=32769, then 947+32769=33716. | basic_operations |
5,543 | algebra | easy | Solve for x: 19x - 10 = -10 | 0 | Add 10 to both sides: 19x = -10+10=0. Then x = 0/19 = 0. | linear_equation |
5,544 | calculus | medium | What is the derivative of 7x^3 with respect to x? | 21x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^3] = 7*3*x^2 = 21x^2. | derivative |
5,545 | percentages | easy | What is 60% of 685? | 411 | Calculate 60/100 * 685 = 0.6*685 = 411. | percentages |
5,546 | algebra | easy | Solve for x: 14x - 28 = 238 | 19 | Add 28 to both sides: 14x = 238+28=266. Then x = 266/14 = 19. | linear_equation |
5,547 | exponents | easy | What is 12^3? | 1728 | 12^3 means multiply 12 by itself 3 times: 12*12*12 = 1728. | exponents |
5,548 | arithmetic | easy | What is 442 - 387? | 55 | Subtract: 442 - 387 = 55. | basic_operations |
5,549 | arithmetic | easy | What is 685 + 662 * 71? Remember order of operations. | 47687 | Order of operations (PEMDAS): first 662*71=47002, then 685+47002=47687. | basic_operations |
5,550 | fractions | medium | What is 4/9 + 18/3? Give as simplified fraction. | 58/9 | Common denominator 9*3=27. 4/9=12/27, 18/3=162/27. Sum = 174/27 = 58/9 simplified. | fraction_operations |
5,551 | geometry | easy | Find the area of a triangle with base 69 and height 29. | 1000.5 | Area = 0.5*base*height = 0.5*69*29 = 1000.5. | triangle_area |
5,552 | algebra | medium | Solve for x: x^2 - 2x - 80 = 0 | x = -8, 10 | Factor: (x - -8)(x - 10) = x^2 -(2)x + -80 = 0. So x = -8 or 10. Check sum = 2, product = -80. | quadratic |
5,553 | arithmetic | easy | What is 182 + 871? | 1053 | Add the two numbers: 182 + 871 = 1053. | basic_operations |
5,554 | algebra | medium | Solve for x: x^2 + 7x - 8 = 0 | x = -8, 1 | Factor: (x - -8)(x - 1) = x^2 -(-7)x + -8 = 0. So x = -8 or 1. Check sum = -7, product = -8. | quadratic |
5,555 | exponents | easy | What is 10^2? | 100 | 10^2 means multiply 10 by itself 2 times: 10*10 = 100. | exponents |
5,556 | number_theory | medium | What is the LCM (least common multiple) of 69 and 20? | 1380 | LCM = |69*20| / GCD(69,20). GCD=1, so LCM=1380/1=1380. | lcm |
5,557 | 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 |
5,558 | statistics | easy | What is the mean (average) of 39, 2, 14, 98? | 38.25 | Mean = sum/count. Sum = 39+2+14+98=153. Count=4. Mean=153/4=38.25. | mean |
5,559 | arithmetic | easy | What is 11592 / 69? | 168 | Divide: 11592 ÷ 69 = 168 because 69*168=11592. | division |
5,560 | calculus | medium | What is the derivative of 5x^4 with respect to x? | 20x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^4] = 5*4*x^3 = 20x^3. | derivative |
5,561 | algebra | easy | Solve for x: 1x - 45 = -41 | 4 | Add 45 to both sides: 1x = -41+45=4. Then x = 4/1 = 4. | linear_equation |
5,562 | algebra | medium | Solve for x: x^2 - 14x + 48 = 0 | x = 8, 6 | Factor: (x - 8)(x - 6) = x^2 -(14)x + 48 = 0. So x = 8 or 6. Check sum = 14, product = 48. | quadratic |
5,563 | statistics | easy | What is the mean (average) of 82, 68, 62, 32? | 61 | Mean = sum/count. Sum = 82+68+62+32=244. Count=4. Mean=244/4=61.0. | mean |
5,564 | roots | easy | What is the square root of 1156? | 34 | Find number that when squared gives 1156. 34*34=1156, so sqrt(1156)=34. | square_roots |
5,565 | roots | easy | What is the square root of 2500? | 50 | Find number that when squared gives 2500. 50*50=2500, so sqrt(2500)=50. | square_roots |
5,566 | 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 |
5,567 | exponents | easy | What is 8^4? | 4096 | 8^4 means multiply 8 by itself 4 times: 8*8*8*8 = 4096. | exponents |
5,568 | arithmetic | easy | What is 17394 / 78? | 223 | Divide: 17394 ÷ 78 = 223 because 78*223=17394. | division |
5,569 | exponents | easy | What is 12^3? | 1728 | 12^3 means multiply 12 by itself 3 times: 12*12*12 = 1728. | exponents |
5,570 | arithmetic | easy | What is 5840 / 80? | 73 | Divide: 5840 ÷ 80 = 73 because 80*73=5840. | division |
5,571 | algebra | medium | Solve for x: x^2 + 12x + 32 = 0 | x = -8, -4 | Factor: (x - -8)(x - -4) = x^2 -(-12)x + 32 = 0. So x = -8 or -4. Check sum = -12, product = 32. | quadratic |
5,572 | algebra | medium | Solve for x: x^2 + 11x + 10 = 0 | x = -10, -1 | Factor: (x - -10)(x - -1) = x^2 -(-11)x + 10 = 0. So x = -10 or -1. Check sum = -11, product = 10. | quadratic |
5,573 | arithmetic | easy | What is 33 + 69 * 21? Remember order of operations. | 1482 | Order of operations (PEMDAS): first 69*21=1449, then 33+1449=1482. | basic_operations |
5,574 | arithmetic | easy | What is 14288 / 38? | 376 | Divide: 14288 ÷ 38 = 376 because 38*376=14288. | division |
5,575 | arithmetic | easy | What is 884 + 483 * 79? Remember order of operations. | 39041 | Order of operations (PEMDAS): first 483*79=38157, then 884+38157=39041. | basic_operations |
5,576 | 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 |
5,577 | geometry | easy | Find the area of a triangle with base 89 and height 68. | 3026 | Area = 0.5*base*height = 0.5*89*68 = 3026. | triangle_area |
5,578 | arithmetic | easy | What is 7055 / 85? | 83 | Divide: 7055 ÷ 85 = 83 because 85*83=7055. | division |
5,579 | arithmetic | easy | What is 27072 / 96? | 282 | Divide: 27072 ÷ 96 = 282 because 96*282=27072. | division |
5,580 | percentages | easy | What is 56% of 433? | 242.48 | Calculate 56/100 * 433 = 0.56*433 = 242.48. | percentages |
5,581 | 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 |
5,582 | algebra | medium | Solve for x: x^2 + 19x + 90 = 0 | x = -10, -9 | Factor: (x - -10)(x - -9) = x^2 -(-19)x + 90 = 0. So x = -10 or -9. Check sum = -19, product = 90. | quadratic |
5,583 | arithmetic | easy | What is 21 * 70? | 1470 | Multiply: 21 * 70 = 1470. | basic_operations |
5,584 | calculus | medium | What is the derivative of 2x^3 with respect to x? | 6x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^3] = 2*3*x^2 = 6x^2. | derivative |
5,585 | arithmetic | easy | What is 647 - 330? | 317 | Subtract: 647 - 330 = 317. | basic_operations |
5,586 | geometry | easy | Find the perimeter of a rectangle with length 68 and width 31. | 198 | Perimeter = 2*(length+width) = 2*(68+31) = 2*99 = 198. | rectangle_perim |
5,587 | arithmetic | easy | What is 21 * 54? | 1134 | Multiply: 21 * 54 = 1134. | basic_operations |
5,588 | algebra | medium | Solve for x: x^2 - 17x + 72 = 0 | x = 8, 9 | Factor: (x - 8)(x - 9) = x^2 -(17)x + 72 = 0. So x = 8 or 9. Check sum = 17, product = 72. | quadratic |
5,589 | arithmetic | easy | What is 90 + 56 * 51? Remember order of operations. | 2946 | Order of operations (PEMDAS): first 56*51=2856, then 90+2856=2946. | basic_operations |
5,590 | word_problems | easy | If you have 60 books and you buy 16 more books, how many books do you have in total? | 76 | Add initial 60 plus bought 16: 60+16=76. | addition_word |
5,591 | algebra | medium | Solve for x: x^2 - 3x - 28 = 0 | x = 7, -4 | Factor: (x - 7)(x - -4) = x^2 -(3)x + -28 = 0. So x = 7 or -4. Check sum = 3, product = -28. | quadratic |
5,592 | 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 |
5,593 | fractions | medium | What is 16/15 - 3/18? Give as simplified fraction. | 9/10 | Common denominator 270. Numerator 288-45=243. So 243/270 simplifies to 9/10. | fraction_operations |
5,594 | arithmetic | easy | What is 40578 divided by 82? Give answer to 2 decimal places. | 494.85 | Calculate 40578/ 82 = 494.8537, rounded to 2 decimals is 494.85. | division |
5,595 | 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 |
5,596 | arithmetic | easy | What is 7359 / 33? | 223 | Divide: 7359 ÷ 33 = 223 because 33*223=7359. | division |
5,597 | arithmetic | easy | What is 997 + 77? | 1074 | Add the two numbers: 997 + 77 = 1074. | basic_operations |
5,598 | algebra | medium | Solve for x: x^2 + 7x + 12 = 0 | x = -4, -3 | Factor: (x - -4)(x - -3) = x^2 -(-7)x + 12 = 0. So x = -4 or -3. Check sum = -7, product = 12. | quadratic |
5,599 | algebra | easy | Solve for x: 4x + 36 = 92 | 14 | Subtract 36 from both sides: 4x = 92-36=56. Then divide by 4: x = 56/4 = 14. | linear_equation |
5,600 | percentages | easy | What is 45% of 920? | 414 | Calculate 45/100 * 920 = 0.45*920 = 414. | percentages |
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