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 |
|---|---|---|---|---|---|---|
3,501 | statistics | easy | What is the mean (average) of 73, 2, 75, 56? | 51.5 | Mean = sum/count. Sum = 73+2+75+56=206. Count=4. Mean=206/4=51.5. | mean |
3,502 | arithmetic | easy | What is 42676 / 94? | 454 | Divide: 42676 ÷ 94 = 454 because 94*454=42676. | division |
3,503 | word_problems | easy | If you have 5 candies and you buy 17 more candies, how many candies do you have in total? | 22 | Add initial 5 plus bought 17: 5+17=22. | addition_word |
3,504 | geometry | easy | Find the circumference of a circle with radius 41. Use pi=3.14159, round to 2 decimals. | 257.61 | Circumference = 2*pi*r = 2*3.14159*41 = 257.61. | circle_circum |
3,505 | algebra | medium | Solve for x: x^2 - 6x = 0 | x = 0, 6 | Factor: (x - 0)(x - 6) = x^2 -(6)x + 0 = 0. So x = 0 or 6. Check sum = 6, product = 0. | quadratic |
3,506 | statistics | easy | What is the mean (average) of 37, 83, 39, 34, 69? | 52.4 | Mean = sum/count. Sum = 37+83+39+34+69=262. Count=5. Mean=262/5=52.4. | mean |
3,507 | percentages | easy | What is 44% of 282? | 124.08 | Calculate 44/100 * 282 = 0.44*282 = 124.08. | percentages |
3,508 | exponents | easy | What is 12^5? | 248832 | 12^5 means multiply 12 by itself 5 times: 12*12*12*12*12 = 248832. | exponents |
3,509 | arithmetic | easy | What is 47554 divided by 98? Give answer to 2 decimal places. | 485.24 | Calculate 47554/ 98 = 485.2449, rounded to 2 decimals is 485.24. | division |
3,510 | arithmetic | easy | What is 915 - 327? | 588 | Subtract: 915 - 327 = 588. | basic_operations |
3,511 | algebra | medium | Solve for x: x^2 + 5x - 24 = 0 | x = -8, 3 | Factor: (x - -8)(x - 3) = x^2 -(-5)x + -24 = 0. So x = -8 or 3. Check sum = -5, product = -24. | quadratic |
3,512 | exponents | easy | What is 3^5? | 243 | 3^5 means multiply 3 by itself 5 times: 3*3*3*3*3 = 243. | exponents |
3,513 | 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 |
3,514 | algebra | medium | Solve for x: x^2 + 11x + 28 = 0 | x = -4, -7 | Factor: (x - -4)(x - -7) = x^2 -(-11)x + 28 = 0. So x = -4 or -7. Check sum = -11, product = 28. | quadratic |
3,515 | percentages | easy | What is 28% of 315? | 88.2 | Calculate 28/100 * 315 = 0.28*315 = 88.2. | percentages |
3,516 | exponents | easy | What is 7^5? | 16807 | 7^5 means multiply 7 by itself 5 times: 7*7*7*7*7 = 16807. | exponents |
3,517 | arithmetic | easy | What is 13706 / 89? | 154 | Divide: 13706 ÷ 89 = 154 because 89*154=13706. | division |
3,518 | algebra | easy | Solve for x: 11x - 30 = -118 | -8 | Add 30 to both sides: 11x = -118+30=-88. Then x = -88/11 = -8. | linear_equation |
3,519 | calculus | medium | What is the derivative of 3x^8 with respect to x? | 24x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^8] = 3*8*x^7 = 24x^7. | derivative |
3,520 | algebra | medium | Solve for x: x^2 - 4x - 45 = 0 | x = 9, -5 | Factor: (x - 9)(x - -5) = x^2 -(4)x + -45 = 0. So x = 9 or -5. Check sum = 4, product = -45. | quadratic |
3,521 | 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 |
3,522 | statistics | easy | What is the mean (average) of 77, 54, 100, 93, 35? | 71.8 | Mean = sum/count. Sum = 77+54+100+93+35=359. Count=5. Mean=359/5=71.8. | mean |
3,523 | percentages | easy | What is 34% of 484? | 164.56 | Calculate 34/100 * 484 = 0.34*484 = 164.56. | percentages |
3,524 | exponents | easy | What is 7^3? | 343 | 7^3 means multiply 7 by itself 3 times: 7*7*7 = 343. | exponents |
3,525 | exponents | easy | What is 7^4? | 2401 | 7^4 means multiply 7 by itself 4 times: 7*7*7*7 = 2401. | exponents |
3,526 | 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 |
3,527 | exponents | easy | What is 8^5? | 32768 | 8^5 means multiply 8 by itself 5 times: 8*8*8*8*8 = 32768. | exponents |
3,528 | 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 |
3,529 | calculus | medium | What is the derivative of 7x^2 with respect to x? | 14x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^2] = 7*2*x^1 = 14x. | derivative |
3,530 | number_theory | medium | What is the LCM (least common multiple) of 83 and 18? | 1494 | LCM = |83*18| / GCD(83,18). GCD=1, so LCM=1494/1=1494. | lcm |
3,531 | geometry | easy | Find the area of a rectangle with length 91 and width 26. | 2366 | Area = length * width = 91*26 = 2366. | rectangle_area |
3,532 | fractions | medium | What is 9/11 - 12/2? Give as simplified fraction. | -57/11 | Common denominator 22. Numerator 18-132=-114. So -114/22 simplifies to -57/11. | fraction_operations |
3,533 | 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 |
3,534 | 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 |
3,535 | fractions | medium | What is 7/18 + 15/10? Give as simplified fraction. | 17/9 | Common denominator 18*10=180. 7/18=70/180, 15/10=270/180. Sum = 340/180 = 17/9 simplified. | fraction_operations |
3,536 | arithmetic | easy | What is 62 * 93? | 5766 | Multiply: 62 * 93 = 5766. | basic_operations |
3,537 | arithmetic | easy | What is 91 + 63 * 50? Remember order of operations. | 3241 | Order of operations (PEMDAS): first 63*50=3150, then 91+3150=3241. | basic_operations |
3,538 | 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 |
3,539 | arithmetic | easy | What is 48 * 57? | 2736 | Multiply: 48 * 57 = 2736. | basic_operations |
3,540 | arithmetic | easy | What is 4278 / 62? | 69 | Divide: 4278 ÷ 62 = 69 because 62*69=4278. | division |
3,541 | 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 |
3,542 | 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 |
3,543 | algebra | easy | Solve for x: 5x + 25 = 20 | -1 | Subtract 25 from both sides: 5x = 20-25=-5. Then divide by 5: x = -5/5 = -1. | linear_equation |
3,544 | fractions | medium | What is 18/4 - 15/9? Give as simplified fraction. | 17/6 | Common denominator 36. Numerator 162-60=102. So 102/36 simplifies to 17/6. | fraction_operations |
3,545 | geometry | easy | Find the area of a triangle with base 68 and height 38. | 1292 | Area = 0.5*base*height = 0.5*68*38 = 1292. | triangle_area |
3,546 | arithmetic | easy | What is 144 + 791? | 935 | Add the two numbers: 144 + 791 = 935. | basic_operations |
3,547 | roots | easy | What is the square root of 576? | 24 | Find number that when squared gives 576. 24*24=576, so sqrt(576)=24. | square_roots |
3,548 | word_problems | easy | If you have 100 books and you buy 14 more books, how many books do you have in total? | 114 | Add initial 100 plus bought 14: 100+14=114. | addition_word |
3,549 | roots | easy | What is the square root of 900? | 30 | Find number that when squared gives 900. 30*30=900, so sqrt(900)=30. | square_roots |
3,550 | percentages | easy | What is 59% of 371? | 218.89 | Calculate 59/100 * 371 = 0.59*371 = 218.89. | percentages |
3,551 | 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 |
3,552 | geometry | easy | Find the area of a circle with radius 39. Use pi=3.14159, round to 2 decimals. | 4778.36 | Area = pi*r^2 = 3.14159*39^2 = 3.14159*1521 = 4778.36. | circle_area |
3,553 | arithmetic | easy | What is 144 - 123? | 21 | Subtract: 144 - 123 = 21. | basic_operations |
3,554 | statistics | easy | What is the mean (average) of 68, 8, 66? | 47.33 | Mean = sum/count. Sum = 68+8+66=142. Count=3. Mean=142/3=47.33. | mean |
3,555 | number_theory | medium | What is the LCM (least common multiple) of 3 and 73? | 219 | LCM = |3*73| / GCD(3,73). GCD=1, so LCM=219/1=219. | lcm |
3,556 | arithmetic | easy | What is 63 * 37? | 2331 | Multiply: 63 * 37 = 2331. | basic_operations |
3,557 | arithmetic | easy | What is 753 + 78? | 831 | Add the two numbers: 753 + 78 = 831. | basic_operations |
3,558 | arithmetic | easy | What is 5740 / 70? | 82 | Divide: 5740 ÷ 70 = 82 because 70*82=5740. | division |
3,559 | word_problems | easy | If you have 83 books and you buy 42 more books, how many books do you have in total? | 125 | Add initial 83 plus bought 42: 83+42=125. | addition_word |
3,560 | arithmetic | easy | What is 786 - 701? | 85 | Subtract: 786 - 701 = 85. | basic_operations |
3,561 | algebra | easy | Solve for x: 11x - 41 = -140 | -9 | Add 41 to both sides: 11x = -140+41=-99. Then x = -99/11 = -9. | linear_equation |
3,562 | roots | easy | What is the square root of 900? | 30 | Find number that when squared gives 900. 30*30=900, so sqrt(900)=30. | square_roots |
3,563 | 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 |
3,564 | calculus | medium | What is the derivative of 5x^6 with respect to x? | 30x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^6] = 5*6*x^5 = 30x^5. | derivative |
3,565 | arithmetic | easy | What is 639 + 849 * 50? Remember order of operations. | 43089 | Order of operations (PEMDAS): first 849*50=42450, then 639+42450=43089. | basic_operations |
3,566 | roots | easy | What is the square root of 784? | 28 | Find number that when squared gives 784. 28*28=784, so sqrt(784)=28. | square_roots |
3,567 | algebra | easy | Solve for x: 9x - 22 = 131 | 17 | Add 22 to both sides: 9x = 131+22=153. Then x = 153/9 = 17. | linear_equation |
3,568 | roots | easy | What is the square root of 1225? | 35 | Find number that when squared gives 1225. 35*35=1225, so sqrt(1225)=35. | square_roots |
3,569 | word_problems | easy | If you have 88 books and you buy 43 more books, how many books do you have in total? | 131 | Add initial 88 plus bought 43: 88+43=131. | addition_word |
3,570 | number_theory | medium | What is the GCD (greatest common divisor) of 92 and 74? | 2 | Find greatest number dividing both 92 and 74. Divisors common, greatest is 2. | gcd |
3,571 | fractions | medium | What is 5/8 + 10/7? Give as simplified fraction. | 115/56 | Common denominator 8*7=56. 5/8=35/56, 10/7=80/56. Sum = 115/56 = 115/56 simplified. | fraction_operations |
3,572 | arithmetic | easy | What is 547 + 617? | 1164 | Add the two numbers: 547 + 617 = 1164. | basic_operations |
3,573 | arithmetic | easy | What is 336 + 892? | 1228 | Add the two numbers: 336 + 892 = 1228. | basic_operations |
3,574 | fractions | medium | What is 10/7 + 14/10? Give as simplified fraction. | 99/35 | Common denominator 7*10=70. 10/7=100/70, 14/10=98/70. Sum = 198/70 = 99/35 simplified. | fraction_operations |
3,575 | fractions | medium | What is 12/2 + 5/16? Give as simplified fraction. | 101/16 | Common denominator 2*16=32. 12/2=192/32, 5/16=10/32. Sum = 202/32 = 101/16 simplified. | fraction_operations |
3,576 | 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 |
3,577 | fractions | medium | What is 13/3 - 15/16? Give as simplified fraction. | 163/48 | Common denominator 48. Numerator 208-45=163. So 163/48 simplifies to 163/48. | fraction_operations |
3,578 | fractions | medium | What is 7/14 + 19/5? Give as simplified fraction. | 43/10 | Common denominator 14*5=70. 7/14=35/70, 19/5=266/70. Sum = 301/70 = 43/10 simplified. | fraction_operations |
3,579 | algebra | medium | Solve for x: x^2 - 14x + 48 = 0 | x = 6, 8 | Factor: (x - 6)(x - 8) = x^2 -(14)x + 48 = 0. So x = 6 or 8. Check sum = 14, product = 48. | quadratic |
3,580 | arithmetic | easy | What is 8536 / 22? | 388 | Divide: 8536 ÷ 22 = 388 because 22*388=8536. | division |
3,581 | statistics | easy | What is the mean (average) of 78, 46, 96, 41, 54? | 63 | Mean = sum/count. Sum = 78+46+96+41+54=315. Count=5. Mean=315/5=63.0. | mean |
3,582 | fractions | medium | What is 7/4 - 17/13? Give as simplified fraction. | 23/52 | Common denominator 52. Numerator 91-68=23. So 23/52 simplifies to 23/52. | fraction_operations |
3,583 | geometry | easy | Find the area of a triangle with base 15 and height 59. | 442.5 | Area = 0.5*base*height = 0.5*15*59 = 442.5. | triangle_area |
3,584 | arithmetic | easy | What is 390 - 8? | 382 | Subtract: 390 - 8 = 382. | basic_operations |
3,585 | arithmetic | easy | What is 8695 / 47? | 185 | Divide: 8695 ÷ 47 = 185 because 47*185=8695. | division |
3,586 | 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 |
3,587 | exponents | easy | What is 5^2? | 25 | 5^2 means multiply 5 by itself 2 times: 5*5 = 25. | exponents |
3,588 | calculus | medium | What is the derivative of 1x^5 with respect to x? | 5x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^5] = 1*5*x^4 = 5x^4. | derivative |
3,589 | geometry | easy | Find the area of a circle with radius 3. Use pi=3.14159, round to 2 decimals. | 28.27 | Area = pi*r^2 = 3.14159*3^2 = 3.14159*9 = 28.27. | circle_area |
3,590 | algebra | easy | Solve for x: 8x - 28 = 100 | 16 | Add 28 to both sides: 8x = 100+28=128. Then x = 128/8 = 16. | linear_equation |
3,591 | arithmetic | easy | What is 132 + 532? | 664 | Add the two numbers: 132 + 532 = 664. | basic_operations |
3,592 | arithmetic | easy | What is 85 * 38? | 3230 | Multiply: 85 * 38 = 3230. | basic_operations |
3,593 | 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 |
3,594 | 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 |
3,595 | algebra | medium | Solve for x: x^2 - 36 = 0 | x = 6, -6 | Factor: (x - 6)(x - -6) = x^2 -(0)x + -36 = 0. So x = 6 or -6. Check sum = 0, product = -36. | quadratic |
3,596 | algebra | medium | Solve for x: x^2 + 6x - 7 = 0 | x = 1, -7 | Factor: (x - 1)(x - -7) = x^2 -(-6)x + -7 = 0. So x = 1 or -7. Check sum = -6, product = -7. | quadratic |
3,597 | 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 |
3,598 | fractions | medium | What is 10/14 * 12/10? Give as simplified fraction. | 6/7 | Multiply numerators: 10*12=120. Denominators: 14*10=140. Simplify by gcd 20 to get 6/7. | fraction_operations |
3,599 | roots | easy | What is the square root of 4? | 2 | Find number that when squared gives 4. 2*2=4, so sqrt(4)=2. | square_roots |
3,600 | arithmetic | easy | What is 340 + 30? | 370 | Add the two numbers: 340 + 30 = 370. | basic_operations |
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