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 |
|---|---|---|---|---|---|---|
9,001 | number_theory | medium | What is the GCD (greatest common divisor) of 47 and 100? | 1 | Find greatest number dividing both 47 and 100. Divisors common, greatest is 1. | gcd |
9,002 | arithmetic | easy | What is 340 - 131? | 209 | Subtract: 340 - 131 = 209. | basic_operations |
9,003 | calculus | medium | What is the derivative of 1x^7 with respect to x? | 7x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^7] = 1*7*x^6 = 7x^6. | derivative |
9,004 | calculus | medium | What is the derivative of 8x^7 with respect to x? | 56x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^7] = 8*7*x^6 = 56x^6. | derivative |
9,005 | percentages | easy | What is 39% of 507? | 197.73 | Calculate 39/100 * 507 = 0.39*507 = 197.73. | percentages |
9,006 | 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 |
9,007 | arithmetic | easy | What is 87 * 69? | 6003 | Multiply: 87 * 69 = 6003. | basic_operations |
9,008 | algebra | easy | Solve for x: 18x + 24 = 60 | 2 | Subtract 24 from both sides: 18x = 60-24=36. Then divide by 18: x = 36/18 = 2. | linear_equation |
9,009 | arithmetic | easy | What is 912 + 749? | 1661 | Add the two numbers: 912 + 749 = 1661. | basic_operations |
9,010 | algebra | medium | Solve for x: x^2 + 7x + 6 = 0 | x = -1, -6 | Factor: (x - -1)(x - -6) = x^2 -(-7)x + 6 = 0. So x = -1 or -6. Check sum = -7, product = 6. | quadratic |
9,011 | statistics | easy | What is the mean (average) of 22, 20, 14, 42? | 24.5 | Mean = sum/count. Sum = 22+20+14+42=98. Count=4. Mean=98/4=24.5. | mean |
9,012 | number_theory | medium | What is the LCM (least common multiple) of 73 and 98? | 7154 | LCM = |73*98| / GCD(73,98). GCD=1, so LCM=7154/1=7154. | lcm |
9,013 | percentages | easy | What is 87% of 453? | 394.11 | Calculate 87/100 * 453 = 0.87*453 = 394.11. | percentages |
9,014 | exponents | easy | What is 5^5? | 3125 | 5^5 means multiply 5 by itself 5 times: 5*5*5*5*5 = 3125. | exponents |
9,015 | percentages | easy | What is 77% of 619? | 476.63 | Calculate 77/100 * 619 = 0.77*619 = 476.63. | percentages |
9,016 | geometry | easy | Find the area of a triangle with base 44 and height 77. | 1694 | Area = 0.5*base*height = 0.5*44*77 = 1694. | triangle_area |
9,017 | exponents | easy | What is 2^3? | 8 | 2^3 means multiply 2 by itself 3 times: 2*2*2 = 8. | exponents |
9,018 | number_theory | medium | What is the LCM (least common multiple) of 42 and 96? | 672 | LCM = |42*96| / GCD(42,96). GCD=6, so LCM=4032/6=672. | lcm |
9,019 | 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 |
9,020 | 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 |
9,021 | number_theory | medium | What is the LCM (least common multiple) of 26 and 10? | 130 | LCM = |26*10| / GCD(26,10). GCD=2, so LCM=260/2=130. | lcm |
9,022 | arithmetic | easy | What is 526 + 503 * 28? Remember order of operations. | 14610 | Order of operations (PEMDAS): first 503*28=14084, then 526+14084=14610. | basic_operations |
9,023 | arithmetic | easy | What is 60 * 27? | 1620 | Multiply: 60 * 27 = 1620. | basic_operations |
9,024 | calculus | medium | What is the derivative of 3x^3 with respect to x? | 9x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^3] = 3*3*x^2 = 9x^2. | derivative |
9,025 | number_theory | medium | What is the LCM (least common multiple) of 95 and 50? | 950 | LCM = |95*50| / GCD(95,50). GCD=5, so LCM=4750/5=950. | lcm |
9,026 | fractions | medium | What is 6/7 * 7/11? Give as simplified fraction. | 6/11 | Multiply numerators: 6*7=42. Denominators: 7*11=77. Simplify by gcd 7 to get 6/11. | fraction_operations |
9,027 | word_problems | easy | If you have 39 books and you buy 37 more books, how many books do you have in total? | 76 | Add initial 39 plus bought 37: 39+37=76. | addition_word |
9,028 | arithmetic | easy | What is 437 + 684? | 1121 | Add the two numbers: 437 + 684 = 1121. | basic_operations |
9,029 | arithmetic | easy | What is 1854 / 6? | 309 | Divide: 1854 ÷ 6 = 309 because 6*309=1854. | division |
9,030 | 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 |
9,031 | arithmetic | easy | What is 20 * 53? | 1060 | Multiply: 20 * 53 = 1060. | basic_operations |
9,032 | word_problems | easy | If you have 76 books and you buy 37 more books, how many books do you have in total? | 113 | Add initial 76 plus bought 37: 76+37=113. | addition_word |
9,033 | statistics | easy | What is the mean (average) of 46, 79, 47, 81, 36? | 57.8 | Mean = sum/count. Sum = 46+79+47+81+36=289. Count=5. Mean=289/5=57.8. | mean |
9,034 | arithmetic | easy | What is 86 * 3? | 258 | Multiply: 86 * 3 = 258. | basic_operations |
9,035 | statistics | easy | What is the mean (average) of 54, 38, 99? | 63.67 | Mean = sum/count. Sum = 54+38+99=191. Count=3. Mean=191/3=63.67. | mean |
9,036 | number_theory | medium | What is the GCD (greatest common divisor) of 82 and 72? | 2 | Find greatest number dividing both 82 and 72. Divisors common, greatest is 2. | gcd |
9,037 | arithmetic | easy | What is 359 - 293? | 66 | Subtract: 359 - 293 = 66. | basic_operations |
9,038 | geometry | easy | Find the circumference of a circle with radius 28. Use pi=3.14159, round to 2 decimals. | 175.93 | Circumference = 2*pi*r = 2*3.14159*28 = 175.93. | circle_circum |
9,039 | exponents | easy | What is 6^5? | 7776 | 6^5 means multiply 6 by itself 5 times: 6*6*6*6*6 = 7776. | exponents |
9,040 | fractions | medium | What is 8/19 + 15/19? Give as simplified fraction. | 23/19 | Common denominator 19*19=361. 8/19=152/361, 15/19=285/361. Sum = 437/361 = 23/19 simplified. | fraction_operations |
9,041 | roots | easy | What is the square root of 81? | 9 | Find number that when squared gives 81. 9*9=81, so sqrt(81)=9. | square_roots |
9,042 | arithmetic | easy | What is 676 - 340? | 336 | Subtract: 676 - 340 = 336. | basic_operations |
9,043 | arithmetic | easy | What is 39 * 95? | 3705 | Multiply: 39 * 95 = 3705. | basic_operations |
9,044 | arithmetic | easy | What is 65 * 31? | 2015 | Multiply: 65 * 31 = 2015. | basic_operations |
9,045 | geometry | easy | Find the perimeter of a rectangle with length 34 and width 46. | 160 | Perimeter = 2*(length+width) = 2*(34+46) = 2*80 = 160. | rectangle_perim |
9,046 | arithmetic | easy | What is 41 + 80 * 52? Remember order of operations. | 4201 | Order of operations (PEMDAS): first 80*52=4160, then 41+4160=4201. | basic_operations |
9,047 | arithmetic | easy | What is 405 + 162 * 96? Remember order of operations. | 15957 | Order of operations (PEMDAS): first 162*96=15552, then 405+15552=15957. | basic_operations |
9,048 | percentages | easy | What is 6% of 524? | 31.44 | Calculate 6/100 * 524 = 0.06*524 = 31.44. | percentages |
9,049 | calculus | medium | What is the derivative of 7x^4 with respect to x? | 28x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^4] = 7*4*x^3 = 28x^3. | derivative |
9,050 | algebra | medium | Solve for x: x^2 + 5x + 6 = 0 | x = -2, -3 | Factor: (x - -2)(x - -3) = x^2 -(-5)x + 6 = 0. So x = -2 or -3. Check sum = -5, product = 6. | quadratic |
9,051 | exponents | easy | What is 5^4? | 625 | 5^4 means multiply 5 by itself 4 times: 5*5*5*5 = 625. | exponents |
9,052 | geometry | easy | Find the area of a triangle with base 52 and height 77. | 2002 | Area = 0.5*base*height = 0.5*52*77 = 2002. | triangle_area |
9,053 | roots | easy | What is the square root of 144? | 12 | Find number that when squared gives 144. 12*12=144, so sqrt(144)=12. | square_roots |
9,054 | arithmetic | easy | What is 10500 / 25? | 420 | Divide: 10500 ÷ 25 = 420 because 25*420=10500. | division |
9,055 | calculus | medium | What is the derivative of 4x^2 with respect to x? | 8x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^2] = 4*2*x^1 = 8x. | derivative |
9,056 | word_problems | easy | If you have 13 pencils and you buy 1 more pencils, how many pencils do you have in total? | 14 | Add initial 13 plus bought 1: 13+1=14. | addition_word |
9,057 | arithmetic | easy | What is 339 - 215? | 124 | Subtract: 339 - 215 = 124. | basic_operations |
9,058 | 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 |
9,059 | exponents | easy | What is 11^2? | 121 | 11^2 means multiply 11 by itself 2 times: 11*11 = 121. | exponents |
9,060 | fractions | medium | What is 16/14 - 9/16? Give as simplified fraction. | 65/112 | Common denominator 224. Numerator 256-126=130. So 130/224 simplifies to 65/112. | fraction_operations |
9,061 | word_problems | easy | If you have 60 pencils and you buy 48 more pencils, how many pencils do you have in total? | 108 | Add initial 60 plus bought 48: 60+48=108. | addition_word |
9,062 | arithmetic | easy | What is 32691 divided by 86? Give answer to 2 decimal places. | 380.13 | Calculate 32691/ 86 = 380.1279, rounded to 2 decimals is 380.13. | division |
9,063 | arithmetic | easy | What is 191 + 182 * 15? Remember order of operations. | 2921 | Order of operations (PEMDAS): first 182*15=2730, then 191+2730=2921. | basic_operations |
9,064 | percentages | easy | What is 94% of 589? | 553.66 | Calculate 94/100 * 589 = 0.94*589 = 553.66. | percentages |
9,065 | calculus | medium | What is the derivative of 6x^7 with respect to x? | 42x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^7] = 6*7*x^6 = 42x^6. | derivative |
9,066 | number_theory | medium | What is the GCD (greatest common divisor) of 71 and 53? | 1 | Find greatest number dividing both 71 and 53. Divisors common, greatest is 1. | gcd |
9,067 | arithmetic | easy | What is 44 + 807? | 851 | Add the two numbers: 44 + 807 = 851. | basic_operations |
9,068 | percentages | easy | What is 28% of 222? | 62.16 | Calculate 28/100 * 222 = 0.28*222 = 62.16. | percentages |
9,069 | number_theory | medium | What is the LCM (least common multiple) of 17 and 70? | 1190 | LCM = |17*70| / GCD(17,70). GCD=1, so LCM=1190/1=1190. | lcm |
9,070 | 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 |
9,071 | percentages | easy | What is 66% of 322? | 212.52 | Calculate 66/100 * 322 = 0.66*322 = 212.52. | percentages |
9,072 | 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 |
9,073 | arithmetic | easy | What is 785 + 884? | 1669 | Add the two numbers: 785 + 884 = 1669. | basic_operations |
9,074 | statistics | easy | What is the mean (average) of 67, 2, 14? | 27.67 | Mean = sum/count. Sum = 67+2+14=83. Count=3. Mean=83/3=27.67. | mean |
9,075 | arithmetic | easy | What is 189 - 71? | 118 | Subtract: 189 - 71 = 118. | basic_operations |
9,076 | arithmetic | easy | What is 3408 / 71? | 48 | Divide: 3408 ÷ 71 = 48 because 71*48=3408. | division |
9,077 | calculus | medium | What is the derivative of 2x^7 with respect to x? | 14x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^7] = 2*7*x^6 = 14x^6. | derivative |
9,078 | exponents | easy | What is 11^2? | 121 | 11^2 means multiply 11 by itself 2 times: 11*11 = 121. | exponents |
9,079 | fractions | medium | What is 13/13 - 2/13? Give as simplified fraction. | 11/13 | Common denominator 169. Numerator 169-26=143. So 143/169 simplifies to 11/13. | fraction_operations |
9,080 | arithmetic | easy | What is 3704 divided by 75? Give answer to 2 decimal places. | 49.39 | Calculate 3704/ 75 = 49.3867, rounded to 2 decimals is 49.39. | division |
9,081 | word_problems | easy | If you have 15 candies and you buy 33 more candies, how many candies do you have in total? | 48 | Add initial 15 plus bought 33: 15+33=48. | addition_word |
9,082 | statistics | easy | What is the mean (average) of 62, 1, 69? | 44 | Mean = sum/count. Sum = 62+1+69=132. Count=3. Mean=132/3=44.0. | mean |
9,083 | arithmetic | easy | What is 658 + 319? | 977 | Add the two numbers: 658 + 319 = 977. | basic_operations |
9,084 | fractions | medium | What is 6/19 - 12/2? Give as simplified fraction. | -108/19 | Common denominator 38. Numerator 12-228=-216. So -216/38 simplifies to -108/19. | fraction_operations |
9,085 | arithmetic | easy | What is 16926 / 78? | 217 | Divide: 16926 ÷ 78 = 217 because 78*217=16926. | division |
9,086 | percentages | easy | What is 27% of 833? | 224.91 | Calculate 27/100 * 833 = 0.27*833 = 224.91. | percentages |
9,087 | algebra | easy | Solve for x: 3x + 47 = 23 | -8 | Subtract 47 from both sides: 3x = 23-47=-24. Then divide by 3: x = -24/3 = -8. | linear_equation |
9,088 | geometry | easy | Find the area of a triangle with base 46 and height 21. | 483 | Area = 0.5*base*height = 0.5*46*21 = 483. | triangle_area |
9,089 | algebra | easy | Solve for x: 2x + 22 = 14 | -4 | Subtract 22 from both sides: 2x = 14-22=-8. Then divide by 2: x = -8/2 = -4. | linear_equation |
9,090 | arithmetic | easy | What is 682 - 54? | 628 | Subtract: 682 - 54 = 628. | basic_operations |
9,091 | arithmetic | easy | What is 959 - 952? | 7 | Subtract: 959 - 952 = 7. | basic_operations |
9,092 | number_theory | medium | What is the LCM (least common multiple) of 50 and 20? | 100 | LCM = |50*20| / GCD(50,20). GCD=10, so LCM=1000/10=100. | lcm |
9,093 | geometry | easy | Find the area of a triangle with base 1 and height 50. | 25 | Area = 0.5*base*height = 0.5*1*50 = 25. | triangle_area |
9,094 | 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 |
9,095 | algebra | medium | Solve for x: x^2 + 3x - 18 = 0 | x = 3, -6 | Factor: (x - 3)(x - -6) = x^2 -(-3)x + -18 = 0. So x = 3 or -6. Check sum = -3, product = -18. | quadratic |
9,096 | arithmetic | easy | What is 666 - 236? | 430 | Subtract: 666 - 236 = 430. | basic_operations |
9,097 | number_theory | medium | What is the LCM (least common multiple) of 10 and 55? | 110 | LCM = |10*55| / GCD(10,55). GCD=5, so LCM=550/5=110. | lcm |
9,098 | statistics | easy | What is the mean (average) of 12, 22, 15, 16, 71? | 27.2 | Mean = sum/count. Sum = 12+22+15+16+71=136. Count=5. Mean=136/5=27.2. | mean |
9,099 | 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 |
9,100 | arithmetic | easy | What is 94 * 17? | 1598 | Multiply: 94 * 17 = 1598. | basic_operations |
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