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 |
|---|---|---|---|---|---|---|
733,901 | exponents | easy | What is 11^4? | 14641 | 11^4 means multiply 11 by itself 4 times: 11*11*11*11 = 14641. | exponents |
733,902 | percentages | easy | What is 92% of 378? | 347.76 | Calculate 92/100 * 378 = 0.92*378 = 347.76. | percentages |
733,903 | geometry | easy | Find the area of a circle with radius 23. Use pi=3.14159, round to 2 decimals. | 1661.9 | Area = pi*r^2 = 3.14159*23^2 = 3.14159*529 = 1661.9. | circle_area |
733,904 | arithmetic | easy | What is 522 / 29? | 18 | Divide: 522 ÷ 29 = 18 because 29*18=522. | division |
733,905 | algebra | easy | Solve for x: 10x + 42 = 102 | 6 | Subtract 42 from both sides: 10x = 102-42=60. Then divide by 10: x = 60/10 = 6. | linear_equation |
733,906 | arithmetic | easy | What is 309 + 201 * 85? Remember order of operations. | 17394 | Order of operations (PEMDAS): first 201*85=17085, then 309+17085=17394. | basic_operations |
733,907 | algebra | easy | Solve for x: 7x + 37 = 156 | 17 | Subtract 37 from both sides: 7x = 156-37=119. Then divide by 7: x = 119/7 = 17. | linear_equation |
733,908 | algebra | easy | Solve for x: 7x + 35 = 112 | 11 | Subtract 35 from both sides: 7x = 112-35=77. Then divide by 7: x = 77/7 = 11. | linear_equation |
733,909 | 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 |
733,910 | geometry | easy | Find the circumference of a circle with radius 7. Use pi=3.14159, round to 2 decimals. | 43.98 | Circumference = 2*pi*r = 2*3.14159*7 = 43.98. | circle_circum |
733,911 | fractions | medium | What is 5/4 * 3/2? Give as simplified fraction. | 15/8 | Multiply numerators: 5*3=15. Denominators: 4*2=8. Simplify by gcd 1 to get 15/8. | fraction_operations |
733,912 | arithmetic | easy | What is 770 - 437? | 333 | Subtract: 770 - 437 = 333. | basic_operations |
733,913 | algebra | easy | Solve for x: 6x + 15 = 111 | 16 | Subtract 15 from both sides: 6x = 111-15=96. Then divide by 6: x = 96/6 = 16. | linear_equation |
733,914 | 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 |
733,915 | arithmetic | easy | What is 193 + 23? | 216 | Add the two numbers: 193 + 23 = 216. | basic_operations |
733,916 | algebra | easy | Solve for x: 8x + 30 = 110 | 10 | Subtract 30 from both sides: 8x = 110-30=80. Then divide by 8: x = 80/8 = 10. | linear_equation |
733,917 | 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 |
733,918 | arithmetic | easy | What is 379 - 188? | 191 | Subtract: 379 - 188 = 191. | basic_operations |
733,919 | arithmetic | easy | What is 88 + 542 * 8? Remember order of operations. | 4424 | Order of operations (PEMDAS): first 542*8=4336, then 88+4336=4424. | basic_operations |
733,920 | calculus | medium | What is the derivative of 5x^2 with respect to x? | 10x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^2] = 5*2*x^1 = 10x. | derivative |
733,921 | arithmetic | easy | What is 955 - 528? | 427 | Subtract: 955 - 528 = 427. | basic_operations |
733,922 | 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 |
733,923 | arithmetic | easy | What is 28804 divided by 75? Give answer to 2 decimal places. | 384.05 | Calculate 28804/ 75 = 384.0533, rounded to 2 decimals is 384.05. | division |
733,924 | algebra | easy | Solve for x: 17x - 14 = 139 | 9 | Add 14 to both sides: 17x = 139+14=153. Then x = 153/17 = 9. | linear_equation |
733,925 | arithmetic | easy | What is 500 + 91 * 83? Remember order of operations. | 8053 | Order of operations (PEMDAS): first 91*83=7553, then 500+7553=8053. | basic_operations |
733,926 | statistics | easy | What is the mean (average) of 41, 62, 34, 37, 53? | 45.4 | Mean = sum/count. Sum = 41+62+34+37+53=227. Count=5. Mean=227/5=45.4. | mean |
733,927 | geometry | easy | Find the perimeter of a rectangle with length 8 and width 18. | 52 | Perimeter = 2*(length+width) = 2*(8+18) = 2*26 = 52. | rectangle_perim |
733,928 | statistics | easy | What is the mean (average) of 7, 1, 29, 37, 2? | 15.2 | Mean = sum/count. Sum = 7+1+29+37+2=76. Count=5. Mean=76/5=15.2. | mean |
733,929 | roots | easy | What is the square root of 1521? | 39 | Find number that when squared gives 1521. 39*39=1521, so sqrt(1521)=39. | square_roots |
733,930 | fractions | medium | What is 7/2 * 1/11? Give as simplified fraction. | 7/22 | Multiply numerators: 7*1=7. Denominators: 2*11=22. Simplify by gcd 1 to get 7/22. | fraction_operations |
733,931 | algebra | easy | Solve for x: 13x + 6 = -46 | -4 | Subtract 6 from both sides: 13x = -46-6=-52. Then divide by 13: x = -52/13 = -4. | linear_equation |
733,932 | roots | easy | What is the square root of 324? | 18 | Find number that when squared gives 324. 18*18=324, so sqrt(324)=18. | square_roots |
733,933 | algebra | medium | Solve for x: x^2 + 7x - 8 = 0 | x = 1, -8 | Factor: (x - 1)(x - -8) = x^2 -(-7)x + -8 = 0. So x = 1 or -8. Check sum = -7, product = -8. | quadratic |
733,934 | exponents | easy | What is 5^5? | 3125 | 5^5 means multiply 5 by itself 5 times: 5*5*5*5*5 = 3125. | exponents |
733,935 | roots | easy | What is the square root of 529? | 23 | Find number that when squared gives 529. 23*23=529, so sqrt(529)=23. | square_roots |
733,936 | 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 |
733,937 | fractions | medium | What is 9/20 - 14/10? Give as simplified fraction. | -19/20 | Common denominator 200. Numerator 90-280=-190. So -190/200 simplifies to -19/20. | fraction_operations |
733,938 | exponents | easy | What is 6^3? | 216 | 6^3 means multiply 6 by itself 3 times: 6*6*6 = 216. | exponents |
733,939 | algebra | medium | Solve for x: x^2 + 11x + 30 = 0 | x = -5, -6 | Factor: (x - -5)(x - -6) = x^2 -(-11)x + 30 = 0. So x = -5 or -6. Check sum = -11, product = 30. | quadratic |
733,940 | exponents | easy | What is 3^4? | 81 | 3^4 means multiply 3 by itself 4 times: 3*3*3*3 = 81. | exponents |
733,941 | roots | easy | What is the square root of 1936? | 44 | Find number that when squared gives 1936. 44*44=1936, so sqrt(1936)=44. | square_roots |
733,942 | exponents | easy | What is 11^3? | 1331 | 11^3 means multiply 11 by itself 3 times: 11*11*11 = 1331. | exponents |
733,943 | exponents | easy | What is 7^3? | 343 | 7^3 means multiply 7 by itself 3 times: 7*7*7 = 343. | exponents |
733,944 | number_theory | medium | What is the GCD (greatest common divisor) of 68 and 24? | 4 | Find greatest number dividing both 68 and 24. Divisors common, greatest is 4. | gcd |
733,945 | 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 |
733,946 | percentages | easy | What is 48% of 416? | 199.68 | Calculate 48/100 * 416 = 0.48*416 = 199.68. | percentages |
733,947 | word_problems | easy | If you have 22 candies and you buy 14 more candies, how many candies do you have in total? | 36 | Add initial 22 plus bought 14: 22+14=36. | addition_word |
733,948 | exponents | easy | What is 9^4? | 6561 | 9^4 means multiply 9 by itself 4 times: 9*9*9*9 = 6561. | exponents |
733,949 | arithmetic | easy | What is 13 * 40? | 520 | Multiply: 13 * 40 = 520. | basic_operations |
733,950 | arithmetic | easy | What is 212 + 575 * 20? Remember order of operations. | 11712 | Order of operations (PEMDAS): first 575*20=11500, then 212+11500=11712. | basic_operations |
733,951 | arithmetic | easy | What is 10336 / 76? | 136 | Divide: 10336 ÷ 76 = 136 because 76*136=10336. | division |
733,952 | arithmetic | easy | What is 929 + 434 * 2? Remember order of operations. | 1797 | Order of operations (PEMDAS): first 434*2=868, then 929+868=1797. | basic_operations |
733,953 | 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 |
733,954 | arithmetic | easy | What is 113 + 889? | 1002 | Add the two numbers: 113 + 889 = 1002. | basic_operations |
733,955 | statistics | easy | What is the mean (average) of 69, 11, 11? | 30.33 | Mean = sum/count. Sum = 69+11+11=91. Count=3. Mean=91/3=30.33. | mean |
733,956 | number_theory | medium | What is the GCD (greatest common divisor) of 6 and 1? | 1 | Find greatest number dividing both 6 and 1. Divisors common, greatest is 1. | gcd |
733,957 | arithmetic | easy | What is 604 + 895 * 26? Remember order of operations. | 23874 | Order of operations (PEMDAS): first 895*26=23270, then 604+23270=23874. | basic_operations |
733,958 | percentages | easy | What is 46% of 477? | 219.42 | Calculate 46/100 * 477 = 0.46*477 = 219.42. | percentages |
733,959 | statistics | easy | What is the mean (average) of 39, 28, 67? | 44.67 | Mean = sum/count. Sum = 39+28+67=134. Count=3. Mean=134/3=44.67. | mean |
733,960 | number_theory | medium | What is the GCD (greatest common divisor) of 58 and 13? | 1 | Find greatest number dividing both 58 and 13. Divisors common, greatest is 1. | gcd |
733,961 | word_problems | easy | If you have 6 pencils and you buy 16 more pencils, how many pencils do you have in total? | 22 | Add initial 6 plus bought 16: 6+16=22. | addition_word |
733,962 | 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 |
733,963 | percentages | easy | What is 75% of 463? | 347.25 | Calculate 75/100 * 463 = 0.75*463 = 347.25. | percentages |
733,964 | roots | easy | What is the square root of 1936? | 44 | Find number that when squared gives 1936. 44*44=1936, so sqrt(1936)=44. | square_roots |
733,965 | arithmetic | easy | What is 327 + 431 * 74? Remember order of operations. | 32221 | Order of operations (PEMDAS): first 431*74=31894, then 327+31894=32221. | basic_operations |
733,966 | 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 |
733,967 | algebra | easy | Solve for x: 17x - 33 = -33 | 0 | Add 33 to both sides: 17x = -33+33=0. Then x = 0/17 = 0. | linear_equation |
733,968 | 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 |
733,969 | algebra | easy | Solve for x: 15x + 49 = -221 | -18 | Subtract 49 from both sides: 15x = -221-49=-270. Then divide by 15: x = -270/15 = -18. | linear_equation |
733,970 | statistics | easy | What is the mean (average) of 78, 6, 50? | 44.67 | Mean = sum/count. Sum = 78+6+50=134. Count=3. Mean=134/3=44.67. | mean |
733,971 | 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 |
733,972 | geometry | easy | Find the area of a circle with radius 46. Use pi=3.14159, round to 2 decimals. | 6647.61 | Area = pi*r^2 = 3.14159*46^2 = 3.14159*2116 = 6647.61. | circle_area |
733,973 | 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 |
733,974 | fractions | medium | What is 20/15 + 11/12? Give as simplified fraction. | 9/4 | Common denominator 15*12=180. 20/15=240/180, 11/12=165/180. Sum = 405/180 = 9/4 simplified. | fraction_operations |
733,975 | algebra | easy | Solve for x: 3x + 3 = -15 | -6 | Subtract 3 from both sides: 3x = -15-3=-18. Then divide by 3: x = -18/3 = -6. | linear_equation |
733,976 | 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 |
733,977 | calculus | medium | What is the derivative of 9x^6 with respect to x? | 54x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^6] = 9*6*x^5 = 54x^5. | derivative |
733,978 | arithmetic | easy | What is 2 * 63? | 126 | Multiply: 2 * 63 = 126. | basic_operations |
733,979 | number_theory | medium | What is the LCM (least common multiple) of 59 and 6? | 354 | LCM = |59*6| / GCD(59,6). GCD=1, so LCM=354/1=354. | lcm |
733,980 | arithmetic | easy | What is 9100 / 25? | 364 | Divide: 9100 ÷ 25 = 364 because 25*364=9100. | division |
733,981 | number_theory | medium | What is the LCM (least common multiple) of 73 and 73? | 73 | LCM = |73*73| / GCD(73,73). GCD=73, so LCM=5329/73=73. | lcm |
733,982 | algebra | easy | Solve for x: 17x + 12 = -175 | -11 | Subtract 12 from both sides: 17x = -175-12=-187. Then divide by 17: x = -187/17 = -11. | linear_equation |
733,983 | roots | easy | What is the square root of 16? | 4 | Find number that when squared gives 16. 4*4=16, so sqrt(16)=4. | square_roots |
733,984 | arithmetic | easy | What is 89 * 24? | 2136 | Multiply: 89 * 24 = 2136. | basic_operations |
733,985 | algebra | medium | Solve for x: x^2 - 4x - 5 = 0 | x = 5, -1 | Factor: (x - 5)(x - -1) = x^2 -(4)x + -5 = 0. So x = 5 or -1. Check sum = 4, product = -5. | quadratic |
733,986 | geometry | easy | Find the perimeter of a rectangle with length 2 and width 90. | 184 | Perimeter = 2*(length+width) = 2*(2+90) = 2*92 = 184. | rectangle_perim |
733,987 | algebra | easy | Solve for x: 9x + 18 = -99 | -13 | Subtract 18 from both sides: 9x = -99-18=-117. Then divide by 9: x = -117/9 = -13. | linear_equation |
733,988 | word_problems | easy | If you have 20 books and you buy 15 more books, how many books do you have in total? | 35 | Add initial 20 plus bought 15: 20+15=35. | addition_word |
733,989 | number_theory | medium | What is the LCM (least common multiple) of 53 and 47? | 2491 | LCM = |53*47| / GCD(53,47). GCD=1, so LCM=2491/1=2491. | lcm |
733,990 | exponents | easy | What is 11^4? | 14641 | 11^4 means multiply 11 by itself 4 times: 11*11*11*11 = 14641. | exponents |
733,991 | arithmetic | easy | What is 1364 / 4? | 341 | Divide: 1364 ÷ 4 = 341 because 4*341=1364. | division |
733,992 | arithmetic | easy | What is 677 + 371 * 24? Remember order of operations. | 9581 | Order of operations (PEMDAS): first 371*24=8904, then 677+8904=9581. | basic_operations |
733,993 | algebra | medium | Solve for x: x^2 + 2x = 0 | x = -2, 0 | Factor: (x - -2)(x - 0) = x^2 -(-2)x + 0 = 0. So x = -2 or 0. Check sum = -2, product = 0. | quadratic |
733,994 | fractions | medium | What is 6/4 * 12/11? Give as simplified fraction. | 18/11 | Multiply numerators: 6*12=72. Denominators: 4*11=44. Simplify by gcd 4 to get 18/11. | fraction_operations |
733,995 | exponents | easy | What is 9^4? | 6561 | 9^4 means multiply 9 by itself 4 times: 9*9*9*9 = 6561. | exponents |
733,996 | arithmetic | easy | What is 914 + 351 * 81? Remember order of operations. | 29345 | Order of operations (PEMDAS): first 351*81=28431, then 914+28431=29345. | basic_operations |
733,997 | roots | easy | What is the square root of 256? | 16 | Find number that when squared gives 256. 16*16=256, so sqrt(256)=16. | square_roots |
733,998 | statistics | easy | What is the mean (average) of 27, 18, 74, 3, 25? | 29.4 | Mean = sum/count. Sum = 27+18+74+3+25=147. Count=5. Mean=147/5=29.4. | mean |
733,999 | fractions | medium | What is 1/8 - 8/9? Give as simplified fraction. | -55/72 | Common denominator 72. Numerator 9-64=-55. So -55/72 simplifies to -55/72. | fraction_operations |
734,000 | arithmetic | easy | What is 976 - 513? | 463 | Subtract: 976 - 513 = 463. | basic_operations |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.