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 |
|---|---|---|---|---|---|---|
9,901 | 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 |
9,902 | word_problems | easy | If you have 51 books and you buy 24 more books, how many books do you have in total? | 75 | Add initial 51 plus bought 24: 51+24=75. | addition_word |
9,903 | statistics | easy | What is the mean (average) of 76, 30, 72, 46? | 56 | Mean = sum/count. Sum = 76+30+72+46=224. Count=4. Mean=224/4=56.0. | mean |
9,904 | exponents | easy | What is 12^5? | 248832 | 12^5 means multiply 12 by itself 5 times: 12*12*12*12*12 = 248832. | exponents |
9,905 | arithmetic | easy | What is 597 + 104 * 18? Remember order of operations. | 2469 | Order of operations (PEMDAS): first 104*18=1872, then 597+1872=2469. | basic_operations |
9,906 | geometry | easy | Find the area of a rectangle with length 60 and width 21. | 1260 | Area = length * width = 60*21 = 1260. | rectangle_area |
9,907 | number_theory | medium | What is the GCD (greatest common divisor) of 33 and 46? | 1 | Find greatest number dividing both 33 and 46. Divisors common, greatest is 1. | gcd |
9,908 | 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 |
9,909 | arithmetic | easy | What is 79 + 29 * 8? Remember order of operations. | 311 | Order of operations (PEMDAS): first 29*8=232, then 79+232=311. | basic_operations |
9,910 | 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 |
9,911 | word_problems | easy | If you have 77 candies and you buy 10 more candies, how many candies do you have in total? | 87 | Add initial 77 plus bought 10: 77+10=87. | addition_word |
9,912 | algebra | easy | Solve for x: 12x + 35 = -133 | -14 | Subtract 35 from both sides: 12x = -133-35=-168. Then divide by 12: x = -168/12 = -14. | linear_equation |
9,913 | statistics | easy | What is the mean (average) of 26, 16, 88, 51? | 45.25 | Mean = sum/count. Sum = 26+16+88+51=181. Count=4. Mean=181/4=45.25. | mean |
9,914 | arithmetic | easy | What is 223 + 135? | 358 | Add the two numbers: 223 + 135 = 358. | basic_operations |
9,915 | percentages | easy | What is 96% of 697? | 669.12 | Calculate 96/100 * 697 = 0.96*697 = 669.12. | percentages |
9,916 | exponents | easy | What is 5^4? | 625 | 5^4 means multiply 5 by itself 4 times: 5*5*5*5 = 625. | exponents |
9,917 | geometry | easy | Find the perimeter of a rectangle with length 59 and width 72. | 262 | Perimeter = 2*(length+width) = 2*(59+72) = 2*131 = 262. | rectangle_perim |
9,918 | number_theory | medium | What is the GCD (greatest common divisor) of 20 and 88? | 4 | Find greatest number dividing both 20 and 88. Divisors common, greatest is 4. | gcd |
9,919 | 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 |
9,920 | statistics | easy | What is the mean (average) of 34, 73, 54, 93, 34? | 57.6 | Mean = sum/count. Sum = 34+73+54+93+34=288. Count=5. Mean=288/5=57.6. | mean |
9,921 | roots | easy | What is the square root of 400? | 20 | Find number that when squared gives 400. 20*20=400, so sqrt(400)=20. | square_roots |
9,922 | number_theory | medium | What is the LCM (least common multiple) of 92 and 80? | 1840 | LCM = |92*80| / GCD(92,80). GCD=4, so LCM=7360/4=1840. | lcm |
9,923 | word_problems | easy | If you have 98 apples and you buy 33 more apples, how many apples do you have in total? | 131 | Add initial 98 plus bought 33: 98+33=131. | addition_word |
9,924 | algebra | medium | Solve for x: x^2 - 16 = 0 | x = 4, -4 | Factor: (x - 4)(x - -4) = x^2 -(0)x + -16 = 0. So x = 4 or -4. Check sum = 0, product = -16. | quadratic |
9,925 | arithmetic | easy | What is 23660 / 65? | 364 | Divide: 23660 ÷ 65 = 364 because 65*364=23660. | division |
9,926 | word_problems | easy | If you have 98 pencils and you buy 7 more pencils, how many pencils do you have in total? | 105 | Add initial 98 plus bought 7: 98+7=105. | addition_word |
9,927 | percentages | easy | What is 17% of 871? | 148.07 | Calculate 17/100 * 871 = 0.17*871 = 148.07. | percentages |
9,928 | algebra | easy | Solve for x: 9x - 47 = -137 | -10 | Add 47 to both sides: 9x = -137+47=-90. Then x = -90/9 = -10. | linear_equation |
9,929 | fractions | medium | What is 20/8 - 13/6? Give as simplified fraction. | 1/3 | Common denominator 48. Numerator 120-104=16. So 16/48 simplifies to 1/3. | fraction_operations |
9,930 | 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 |
9,931 | 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 |
9,932 | geometry | easy | Find the area of a rectangle with length 99 and width 86. | 8514 | Area = length * width = 99*86 = 8514. | rectangle_area |
9,933 | geometry | easy | Find the area of a rectangle with length 36 and width 94. | 3384 | Area = length * width = 36*94 = 3384. | rectangle_area |
9,934 | calculus | medium | What is the derivative of 6x^4 with respect to x? | 24x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^4] = 6*4*x^3 = 24x^3. | derivative |
9,935 | arithmetic | easy | What is 1017 divided by 12? Give answer to 2 decimal places. | 84.75 | Calculate 1017/ 12 = 84.7500, rounded to 2 decimals is 84.75. | division |
9,936 | percentages | easy | What is 65% of 82? | 53.3 | Calculate 65/100 * 82 = 0.65*82 = 53.3. | percentages |
9,937 | arithmetic | easy | What is 720 / 4? | 180 | Divide: 720 ÷ 4 = 180 because 4*180=720. | division |
9,938 | algebra | easy | Solve for x: 18x + 41 = 365 | 18 | Subtract 41 from both sides: 18x = 365-41=324. Then divide by 18: x = 324/18 = 18. | linear_equation |
9,939 | 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 |
9,940 | exponents | easy | What is 12^4? | 20736 | 12^4 means multiply 12 by itself 4 times: 12*12*12*12 = 20736. | exponents |
9,941 | number_theory | medium | What is the GCD (greatest common divisor) of 22 and 68? | 2 | Find greatest number dividing both 22 and 68. Divisors common, greatest is 2. | gcd |
9,942 | word_problems | easy | If you have 58 candies and you buy 32 more candies, how many candies do you have in total? | 90 | Add initial 58 plus bought 32: 58+32=90. | addition_word |
9,943 | geometry | easy | Find the perimeter of a rectangle with length 27 and width 80. | 214 | Perimeter = 2*(length+width) = 2*(27+80) = 2*107 = 214. | rectangle_perim |
9,944 | fractions | medium | What is 11/10 * 7/9? Give as simplified fraction. | 77/90 | Multiply numerators: 11*7=77. Denominators: 10*9=90. Simplify by gcd 1 to get 77/90. | fraction_operations |
9,945 | word_problems | easy | If you have 29 books and you buy 47 more books, how many books do you have in total? | 76 | Add initial 29 plus bought 47: 29+47=76. | addition_word |
9,946 | word_problems | easy | If you have 71 pencils and you buy 14 more pencils, how many pencils do you have in total? | 85 | Add initial 71 plus bought 14: 71+14=85. | addition_word |
9,947 | 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 |
9,948 | 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 |
9,949 | arithmetic | easy | What is 51 divided by 7? Give answer to 2 decimal places. | 7.29 | Calculate 51/ 7 = 7.2857, rounded to 2 decimals is 7.29. | division |
9,950 | arithmetic | easy | What is 502 + 452 * 97? Remember order of operations. | 44346 | Order of operations (PEMDAS): first 452*97=43844, then 502+43844=44346. | basic_operations |
9,951 | fractions | medium | What is 9/18 * 13/20? Give as simplified fraction. | 13/40 | Multiply numerators: 9*13=117. Denominators: 18*20=360. Simplify by gcd 9 to get 13/40. | fraction_operations |
9,952 | calculus | medium | What is the derivative of 6x^8 with respect to x? | 48x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^8] = 6*8*x^7 = 48x^7. | derivative |
9,953 | fractions | medium | What is 16/4 - 12/13? Give as simplified fraction. | 40/13 | Common denominator 52. Numerator 208-48=160. So 160/52 simplifies to 40/13. | fraction_operations |
9,954 | percentages | easy | What is 15% of 993? | 148.95 | Calculate 15/100 * 993 = 0.15*993 = 148.95. | percentages |
9,955 | arithmetic | easy | What is 73 + 72 * 1? Remember order of operations. | 145 | Order of operations (PEMDAS): first 72*1=72, then 73+72=145. | basic_operations |
9,956 | word_problems | easy | If you have 33 pencils and you buy 2 more pencils, how many pencils do you have in total? | 35 | Add initial 33 plus bought 2: 33+2=35. | addition_word |
9,957 | number_theory | medium | What is the GCD (greatest common divisor) of 7 and 61? | 1 | Find greatest number dividing both 7 and 61. Divisors common, greatest is 1. | gcd |
9,958 | percentages | easy | What is 60% of 461? | 276.6 | Calculate 60/100 * 461 = 0.6*461 = 276.6. | percentages |
9,959 | percentages | easy | What is 14% of 134? | 18.76 | Calculate 14/100 * 134 = 0.14*134 = 18.76. | percentages |
9,960 | statistics | easy | What is the mean (average) of 36, 11, 95? | 47.33 | Mean = sum/count. Sum = 36+11+95=142. Count=3. Mean=142/3=47.33. | mean |
9,961 | exponents | easy | What is 10^4? | 10000 | 10^4 means multiply 10 by itself 4 times: 10*10*10*10 = 10000. | exponents |
9,962 | arithmetic | easy | What is 89 * 59? | 5251 | Multiply: 89 * 59 = 5251. | basic_operations |
9,963 | number_theory | medium | What is the GCD (greatest common divisor) of 78 and 82? | 2 | Find greatest number dividing both 78 and 82. Divisors common, greatest is 2. | gcd |
9,964 | algebra | easy | Solve for x: 14x + 19 = -247 | -19 | Subtract 19 from both sides: 14x = -247-19=-266. Then divide by 14: x = -266/14 = -19. | linear_equation |
9,965 | arithmetic | easy | What is 623 + 61 * 61? Remember order of operations. | 4344 | Order of operations (PEMDAS): first 61*61=3721, then 623+3721=4344. | basic_operations |
9,966 | statistics | easy | What is the mean (average) of 21, 97, 16? | 44.67 | Mean = sum/count. Sum = 21+97+16=134. Count=3. Mean=134/3=44.67. | mean |
9,967 | 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 |
9,968 | percentages | easy | What is 77% of 659? | 507.43 | Calculate 77/100 * 659 = 0.77*659 = 507.43. | percentages |
9,969 | roots | easy | What is the square root of 1369? | 37 | Find number that when squared gives 1369. 37*37=1369, so sqrt(1369)=37. | square_roots |
9,970 | 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 |
9,971 | arithmetic | easy | What is 135 + 241? | 376 | Add the two numbers: 135 + 241 = 376. | basic_operations |
9,972 | word_problems | easy | If you have 49 candies and you buy 8 more candies, how many candies do you have in total? | 57 | Add initial 49 plus bought 8: 49+8=57. | addition_word |
9,973 | number_theory | medium | What is the GCD (greatest common divisor) of 58 and 80? | 2 | Find greatest number dividing both 58 and 80. Divisors common, greatest is 2. | gcd |
9,974 | fractions | medium | What is 6/8 * 1/19? Give as simplified fraction. | 3/76 | Multiply numerators: 6*1=6. Denominators: 8*19=152. Simplify by gcd 2 to get 3/76. | fraction_operations |
9,975 | arithmetic | easy | What is 37 * 9? | 333 | Multiply: 37 * 9 = 333. | basic_operations |
9,976 | arithmetic | easy | What is 978 + 174 * 94? Remember order of operations. | 17334 | Order of operations (PEMDAS): first 174*94=16356, then 978+16356=17334. | basic_operations |
9,977 | percentages | easy | What is 4% of 49? | 1.96 | Calculate 4/100 * 49 = 0.04*49 = 1.96. | percentages |
9,978 | word_problems | easy | If you have 70 pencils and you buy 41 more pencils, how many pencils do you have in total? | 111 | Add initial 70 plus bought 41: 70+41=111. | addition_word |
9,979 | 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 |
9,980 | number_theory | medium | What is the LCM (least common multiple) of 67 and 90? | 6030 | LCM = |67*90| / GCD(67,90). GCD=1, so LCM=6030/1=6030. | lcm |
9,981 | roots | easy | What is the square root of 484? | 22 | Find number that when squared gives 484. 22*22=484, so sqrt(484)=22. | square_roots |
9,982 | 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 |
9,983 | roots | easy | What is the square root of 1369? | 37 | Find number that when squared gives 1369. 37*37=1369, so sqrt(1369)=37. | square_roots |
9,984 | arithmetic | easy | What is 6880 / 40? | 172 | Divide: 6880 ÷ 40 = 172 because 40*172=6880. | division |
9,985 | word_problems | easy | If you have 27 candies and you buy 16 more candies, how many candies do you have in total? | 43 | Add initial 27 plus bought 16: 27+16=43. | addition_word |
9,986 | 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 |
9,987 | exponents | easy | What is 12^5? | 248832 | 12^5 means multiply 12 by itself 5 times: 12*12*12*12*12 = 248832. | exponents |
9,988 | algebra | easy | Solve for x: 15x - 28 = 152 | 12 | Add 28 to both sides: 15x = 152+28=180. Then x = 180/15 = 12. | linear_equation |
9,989 | 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 |
9,990 | arithmetic | easy | What is 33157 / 71? | 467 | Divide: 33157 ÷ 71 = 467 because 71*467=33157. | division |
9,991 | algebra | easy | Solve for x: 2x - 11 = -23 | -6 | Add 11 to both sides: 2x = -23+11=-12. Then x = -12/2 = -6. | linear_equation |
9,992 | 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 |
9,993 | geometry | easy | Find the circumference of a circle with radius 10. Use pi=3.14159, round to 2 decimals. | 62.83 | Circumference = 2*pi*r = 2*3.14159*10 = 62.83. | circle_circum |
9,994 | arithmetic | easy | What is 28736 / 64? | 449 | Divide: 28736 ÷ 64 = 449 because 64*449=28736. | division |
9,995 | fractions | medium | What is 10/8 + 19/11? Give as simplified fraction. | 131/44 | Common denominator 8*11=88. 10/8=110/88, 19/11=152/88. Sum = 262/88 = 131/44 simplified. | fraction_operations |
9,996 | 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 |
9,997 | calculus | medium | What is the derivative of 5x^5 with respect to x? | 25x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^5] = 5*5*x^4 = 25x^4. | derivative |
9,998 | arithmetic | easy | What is 87 * 89? | 7743 | Multiply: 87 * 89 = 7743. | basic_operations |
9,999 | number_theory | medium | What is the LCM (least common multiple) of 69 and 41? | 2829 | LCM = |69*41| / GCD(69,41). GCD=1, so LCM=2829/1=2829. | lcm |
10,000 | geometry | easy | Find the area of a triangle with base 10 and height 97. | 485 | Area = 0.5*base*height = 0.5*10*97 = 485. | triangle_area |
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