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 |
|---|---|---|---|---|---|---|
6,001 | arithmetic | easy | What is 840 / 56? | 15 | Divide: 840 ÷ 56 = 15 because 56*15=840. | division |
6,002 | statistics | easy | What is the mean (average) of 17, 26, 87? | 43.33 | Mean = sum/count. Sum = 17+26+87=130. Count=3. Mean=130/3=43.33. | mean |
6,003 | 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 |
6,004 | statistics | easy | What is the mean (average) of 69, 26, 63? | 52.67 | Mean = sum/count. Sum = 69+26+63=158. Count=3. Mean=158/3=52.67. | mean |
6,005 | 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 |
6,006 | arithmetic | easy | What is 14 + 1 * 54? Remember order of operations. | 68 | Order of operations (PEMDAS): first 1*54=54, then 14+54=68. | basic_operations |
6,007 | exponents | easy | What is 10^2? | 100 | 10^2 means multiply 10 by itself 2 times: 10*10 = 100. | exponents |
6,008 | number_theory | medium | What is the GCD (greatest common divisor) of 46 and 60? | 2 | Find greatest number dividing both 46 and 60. Divisors common, greatest is 2. | gcd |
6,009 | arithmetic | easy | What is 38 * 25? | 950 | Multiply: 38 * 25 = 950. | basic_operations |
6,010 | algebra | easy | Solve for x: 7x + 0 = -63 | -9 | Subtract 0 from both sides: 7x = -63-0=-63. Then divide by 7: x = -63/7 = -9. | linear_equation |
6,011 | algebra | medium | Solve for x: x^2 + 5x - 14 = 0 | x = -7, 2 | Factor: (x - -7)(x - 2) = x^2 -(-5)x + -14 = 0. So x = -7 or 2. Check sum = -5, product = -14. | quadratic |
6,012 | arithmetic | easy | What is 98 * 49? | 4802 | Multiply: 98 * 49 = 4802. | basic_operations |
6,013 | word_problems | easy | If you have 38 candies and you buy 26 more candies, how many candies do you have in total? | 64 | Add initial 38 plus bought 26: 38+26=64. | addition_word |
6,014 | arithmetic | easy | What is 88 + 46 * 57? Remember order of operations. | 2710 | Order of operations (PEMDAS): first 46*57=2622, then 88+2622=2710. | basic_operations |
6,015 | arithmetic | easy | What is 9768 / 33? | 296 | Divide: 9768 ÷ 33 = 296 because 33*296=9768. | division |
6,016 | arithmetic | easy | What is 330 + 57? | 387 | Add the two numbers: 330 + 57 = 387. | basic_operations |
6,017 | exponents | easy | What is 4^5? | 1024 | 4^5 means multiply 4 by itself 5 times: 4*4*4*4*4 = 1024. | exponents |
6,018 | arithmetic | easy | What is 5 + 492 * 2? Remember order of operations. | 989 | Order of operations (PEMDAS): first 492*2=984, then 5+984=989. | basic_operations |
6,019 | arithmetic | easy | What is 99 * 34? | 3366 | Multiply: 99 * 34 = 3366. | basic_operations |
6,020 | algebra | medium | Solve for x: x^2 + 5x + 4 = 0 | x = -1, -4 | Factor: (x - -1)(x - -4) = x^2 -(-5)x + 4 = 0. So x = -1 or -4. Check sum = -5, product = 4. | quadratic |
6,021 | arithmetic | easy | What is 22356 / 81? | 276 | Divide: 22356 ÷ 81 = 276 because 81*276=22356. | division |
6,022 | exponents | easy | What is 10^4? | 10000 | 10^4 means multiply 10 by itself 4 times: 10*10*10*10 = 10000. | exponents |
6,023 | arithmetic | easy | What is 226 - 25? | 201 | Subtract: 226 - 25 = 201. | basic_operations |
6,024 | 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 |
6,025 | arithmetic | easy | What is 834 + 16 * 41? Remember order of operations. | 1490 | Order of operations (PEMDAS): first 16*41=656, then 834+656=1490. | basic_operations |
6,026 | arithmetic | easy | What is 22888 divided by 49? Give answer to 2 decimal places. | 467.1 | Calculate 22888/ 49 = 467.1020, rounded to 2 decimals is 467.1. | division |
6,027 | statistics | easy | What is the mean (average) of 47, 98, 92, 71, 50? | 71.6 | Mean = sum/count. Sum = 47+98+92+71+50=358. Count=5. Mean=358/5=71.6. | mean |
6,028 | exponents | easy | What is 8^3? | 512 | 8^3 means multiply 8 by itself 3 times: 8*8*8 = 512. | exponents |
6,029 | percentages | easy | What is 86% of 889? | 764.54 | Calculate 86/100 * 889 = 0.86*889 = 764.54. | percentages |
6,030 | 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 |
6,031 | exponents | easy | What is 10^2? | 100 | 10^2 means multiply 10 by itself 2 times: 10*10 = 100. | exponents |
6,032 | arithmetic | easy | What is 4 + 334? | 338 | Add the two numbers: 4 + 334 = 338. | basic_operations |
6,033 | geometry | easy | Find the circumference of a circle with radius 27. Use pi=3.14159, round to 2 decimals. | 169.65 | Circumference = 2*pi*r = 2*3.14159*27 = 169.65. | circle_circum |
6,034 | geometry | easy | Find the perimeter of a rectangle with length 63 and width 65. | 256 | Perimeter = 2*(length+width) = 2*(63+65) = 2*128 = 256. | rectangle_perim |
6,035 | 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 |
6,036 | arithmetic | easy | What is 10164 / 42? | 242 | Divide: 10164 ÷ 42 = 242 because 42*242=10164. | division |
6,037 | 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 |
6,038 | arithmetic | easy | What is 5323 divided by 19? Give answer to 2 decimal places. | 280.16 | Calculate 5323/ 19 = 280.1579, rounded to 2 decimals is 280.16. | division |
6,039 | statistics | easy | What is the mean (average) of 13, 18, 30, 76? | 34.25 | Mean = sum/count. Sum = 13+18+30+76=137. Count=4. Mean=137/4=34.25. | mean |
6,040 | number_theory | medium | What is the LCM (least common multiple) of 98 and 73? | 7154 | LCM = |98*73| / GCD(98,73). GCD=1, so LCM=7154/1=7154. | lcm |
6,041 | arithmetic | easy | What is 8370 / 45? | 186 | Divide: 8370 ÷ 45 = 186 because 45*186=8370. | division |
6,042 | calculus | medium | What is the derivative of 1x^8 with respect to x? | 8x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^8] = 1*8*x^7 = 8x^7. | derivative |
6,043 | word_problems | easy | If you have 25 candies and you buy 15 more candies, how many candies do you have in total? | 40 | Add initial 25 plus bought 15: 25+15=40. | addition_word |
6,044 | arithmetic | easy | What is 303 - 158? | 145 | Subtract: 303 - 158 = 145. | basic_operations |
6,045 | number_theory | medium | What is the LCM (least common multiple) of 99 and 36? | 396 | LCM = |99*36| / GCD(99,36). GCD=9, so LCM=3564/9=396. | lcm |
6,046 | word_problems | easy | If you have 64 apples and you buy 10 more apples, how many apples do you have in total? | 74 | Add initial 64 plus bought 10: 64+10=74. | addition_word |
6,047 | number_theory | medium | What is the GCD (greatest common divisor) of 9 and 57? | 3 | Find greatest number dividing both 9 and 57. Divisors common, greatest is 3. | gcd |
6,048 | arithmetic | easy | What is 60 * 16? | 960 | Multiply: 60 * 16 = 960. | basic_operations |
6,049 | geometry | easy | Find the circumference of a circle with radius 35. Use pi=3.14159, round to 2 decimals. | 219.91 | Circumference = 2*pi*r = 2*3.14159*35 = 219.91. | circle_circum |
6,050 | percentages | easy | What is 62% of 681? | 422.22 | Calculate 62/100 * 681 = 0.62*681 = 422.22. | percentages |
6,051 | arithmetic | easy | What is 222 - 101? | 121 | Subtract: 222 - 101 = 121. | basic_operations |
6,052 | percentages | easy | What is 68% of 17? | 11.56 | Calculate 68/100 * 17 = 0.68*17 = 11.56. | percentages |
6,053 | algebra | medium | Solve for x: x^2 - 3x - 4 = 0 | x = 4, -1 | Factor: (x - 4)(x - -1) = x^2 -(3)x + -4 = 0. So x = 4 or -1. Check sum = 3, product = -4. | quadratic |
6,054 | arithmetic | easy | What is 861 - 309? | 552 | Subtract: 861 - 309 = 552. | basic_operations |
6,055 | algebra | medium | Solve for x: x^2 + 7x - 18 = 0 | x = 2, -9 | Factor: (x - 2)(x - -9) = x^2 -(-7)x + -18 = 0. So x = 2 or -9. Check sum = -7, product = -18. | quadratic |
6,056 | algebra | medium | Solve for x: x^2 - 3x - 40 = 0 | x = 8, -5 | Factor: (x - 8)(x - -5) = x^2 -(3)x + -40 = 0. So x = 8 or -5. Check sum = 3, product = -40. | quadratic |
6,057 | roots | easy | What is the square root of 289? | 17 | Find number that when squared gives 289. 17*17=289, so sqrt(289)=17. | square_roots |
6,058 | calculus | medium | What is the derivative of 9x^7 with respect to x? | 63x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^7] = 9*7*x^6 = 63x^6. | derivative |
6,059 | calculus | medium | What is the derivative of 8x^3 with respect to x? | 24x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^3] = 8*3*x^2 = 24x^2. | derivative |
6,060 | algebra | medium | Solve for x: x^2 - 13x + 42 = 0 | x = 7, 6 | Factor: (x - 7)(x - 6) = x^2 -(13)x + 42 = 0. So x = 7 or 6. Check sum = 13, product = 42. | quadratic |
6,061 | exponents | easy | What is 2^5? | 32 | 2^5 means multiply 2 by itself 5 times: 2*2*2*2*2 = 32. | exponents |
6,062 | 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 |
6,063 | geometry | easy | Find the perimeter of a rectangle with length 2 and width 58. | 120 | Perimeter = 2*(length+width) = 2*(2+58) = 2*60 = 120. | rectangle_perim |
6,064 | 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 |
6,065 | algebra | easy | Solve for x: 16x - 42 = -154 | -7 | Add 42 to both sides: 16x = -154+42=-112. Then x = -112/16 = -7. | linear_equation |
6,066 | roots | easy | What is the square root of 196? | 14 | Find number that when squared gives 196. 14*14=196, so sqrt(196)=14. | square_roots |
6,067 | calculus | medium | What is the derivative of 7x^5 with respect to x? | 35x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^5] = 7*5*x^4 = 35x^4. | derivative |
6,068 | algebra | easy | Solve for x: 12x + 27 = -117 | -12 | Subtract 27 from both sides: 12x = -117-27=-144. Then divide by 12: x = -144/12 = -12. | linear_equation |
6,069 | fractions | medium | What is 17/15 * 17/17? Give as simplified fraction. | 17/15 | Multiply numerators: 17*17=289. Denominators: 15*17=255. Simplify by gcd 17 to get 17/15. | fraction_operations |
6,070 | arithmetic | easy | What is 4 * 34? | 136 | Multiply: 4 * 34 = 136. | basic_operations |
6,071 | calculus | medium | What is the derivative of 4x^6 with respect to x? | 24x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^6] = 4*6*x^5 = 24x^5. | derivative |
6,072 | algebra | medium | Solve for x: x^2 + 9x = 0 | x = -9, 0 | Factor: (x - -9)(x - 0) = x^2 -(-9)x + 0 = 0. So x = -9 or 0. Check sum = -9, product = 0. | quadratic |
6,073 | number_theory | medium | What is the LCM (least common multiple) of 100 and 31? | 3100 | LCM = |100*31| / GCD(100,31). GCD=1, so LCM=3100/1=3100. | lcm |
6,074 | arithmetic | easy | What is 68 * 78? | 5304 | Multiply: 68 * 78 = 5304. | basic_operations |
6,075 | statistics | easy | What is the mean (average) of 74, 54, 96? | 74.67 | Mean = sum/count. Sum = 74+54+96=224. Count=3. Mean=224/3=74.67. | mean |
6,076 | arithmetic | easy | What is 58 * 55? | 3190 | Multiply: 58 * 55 = 3190. | basic_operations |
6,077 | arithmetic | easy | What is 95 * 42? | 3990 | Multiply: 95 * 42 = 3990. | basic_operations |
6,078 | arithmetic | easy | What is 60 * 64? | 3840 | Multiply: 60 * 64 = 3840. | basic_operations |
6,079 | number_theory | medium | What is the LCM (least common multiple) of 33 and 21? | 231 | LCM = |33*21| / GCD(33,21). GCD=3, so LCM=693/3=231. | lcm |
6,080 | arithmetic | easy | What is 601 + 722? | 1323 | Add the two numbers: 601 + 722 = 1323. | basic_operations |
6,081 | geometry | easy | Find the perimeter of a rectangle with length 24 and width 62. | 172 | Perimeter = 2*(length+width) = 2*(24+62) = 2*86 = 172. | rectangle_perim |
6,082 | fractions | medium | What is 13/6 + 15/8? Give as simplified fraction. | 97/24 | Common denominator 6*8=48. 13/6=104/48, 15/8=90/48. Sum = 194/48 = 97/24 simplified. | fraction_operations |
6,083 | arithmetic | easy | What is 19 + 62 * 23? Remember order of operations. | 1445 | Order of operations (PEMDAS): first 62*23=1426, then 19+1426=1445. | basic_operations |
6,084 | arithmetic | easy | What is 63 * 55? | 3465 | Multiply: 63 * 55 = 3465. | basic_operations |
6,085 | statistics | easy | What is the mean (average) of 55, 22, 8? | 28.33 | Mean = sum/count. Sum = 55+22+8=85. Count=3. Mean=85/3=28.33. | mean |
6,086 | exponents | easy | What is 4^4? | 256 | 4^4 means multiply 4 by itself 4 times: 4*4*4*4 = 256. | exponents |
6,087 | arithmetic | easy | What is 5280 divided by 38? Give answer to 2 decimal places. | 138.95 | Calculate 5280/ 38 = 138.9474, rounded to 2 decimals is 138.95. | division |
6,088 | percentages | easy | What is 5% of 384? | 19.2 | Calculate 5/100 * 384 = 0.05*384 = 19.2. | percentages |
6,089 | algebra | medium | Solve for x: x^2 + 4x - 21 = 0 | x = -7, 3 | Factor: (x - -7)(x - 3) = x^2 -(-4)x + -21 = 0. So x = -7 or 3. Check sum = -4, product = -21. | quadratic |
6,090 | arithmetic | easy | What is 213 + 599 * 23? Remember order of operations. | 13990 | Order of operations (PEMDAS): first 599*23=13777, then 213+13777=13990. | basic_operations |
6,091 | algebra | medium | Solve for x: x^2 - 11x + 24 = 0 | x = 3, 8 | Factor: (x - 3)(x - 8) = x^2 -(11)x + 24 = 0. So x = 3 or 8. Check sum = 11, product = 24. | quadratic |
6,092 | arithmetic | easy | What is 98 + 912? | 1010 | Add the two numbers: 98 + 912 = 1010. | basic_operations |
6,093 | geometry | easy | Find the circumference of a circle with radius 5. Use pi=3.14159, round to 2 decimals. | 31.42 | Circumference = 2*pi*r = 2*3.14159*5 = 31.42. | circle_circum |
6,094 | arithmetic | easy | What is 433 + 560? | 993 | Add the two numbers: 433 + 560 = 993. | basic_operations |
6,095 | arithmetic | easy | What is 944 - 222? | 722 | Subtract: 944 - 222 = 722. | basic_operations |
6,096 | word_problems | easy | If you have 10 apples and you buy 22 more apples, how many apples do you have in total? | 32 | Add initial 10 plus bought 22: 10+22=32. | addition_word |
6,097 | arithmetic | easy | What is 299 + 598 * 26? Remember order of operations. | 15847 | Order of operations (PEMDAS): first 598*26=15548, then 299+15548=15847. | basic_operations |
6,098 | word_problems | easy | If you have 28 dollars and you buy 17 more dollars, how many dollars do you have in total? | 45 | Add initial 28 plus bought 17: 28+17=45. | addition_word |
6,099 | calculus | medium | What is the derivative of 4x^6 with respect to x? | 24x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^6] = 4*6*x^5 = 24x^5. | derivative |
6,100 | arithmetic | easy | What is 4756 / 58? | 82 | Divide: 4756 ÷ 58 = 82 because 58*82=4756. | division |
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