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 |
|---|---|---|---|---|---|---|
8,001 | algebra | medium | Solve for x: x^2 + 7x + 12 = 0 | x = -3, -4 | Factor: (x - -3)(x - -4) = x^2 -(-7)x + 12 = 0. So x = -3 or -4. Check sum = -7, product = 12. | quadratic |
8,002 | percentages | easy | What is 7% of 807? | 56.49 | Calculate 7/100 * 807 = 0.07*807 = 56.49. | percentages |
8,003 | algebra | easy | Solve for x: 7x + 28 = 147 | 17 | Subtract 28 from both sides: 7x = 147-28=119. Then divide by 7: x = 119/7 = 17. | linear_equation |
8,004 | percentages | easy | What is 33% of 287? | 94.71 | Calculate 33/100 * 287 = 0.33*287 = 94.71. | percentages |
8,005 | 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 |
8,006 | arithmetic | easy | What is 34 + 91 * 49? Remember order of operations. | 4493 | Order of operations (PEMDAS): first 91*49=4459, then 34+4459=4493. | basic_operations |
8,007 | arithmetic | easy | What is 17 * 25? | 425 | Multiply: 17 * 25 = 425. | basic_operations |
8,008 | calculus | medium | What is the derivative of 3x^4 with respect to x? | 12x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^4] = 3*4*x^3 = 12x^3. | derivative |
8,009 | exponents | easy | What is 3^3? | 27 | 3^3 means multiply 3 by itself 3 times: 3*3*3 = 27. | exponents |
8,010 | 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 |
8,011 | statistics | easy | What is the mean (average) of 7, 5, 49, 34, 33? | 25.6 | Mean = sum/count. Sum = 7+5+49+34+33=128. Count=5. Mean=128/5=25.6. | mean |
8,012 | roots | easy | What is the square root of 361? | 19 | Find number that when squared gives 361. 19*19=361, so sqrt(361)=19. | square_roots |
8,013 | statistics | easy | What is the mean (average) of 32, 14, 15, 75? | 34 | Mean = sum/count. Sum = 32+14+15+75=136. Count=4. Mean=136/4=34.0. | mean |
8,014 | arithmetic | easy | What is 263 - 171? | 92 | Subtract: 263 - 171 = 92. | basic_operations |
8,015 | algebra | easy | Solve for x: 17x - 50 = -50 | 0 | Add 50 to both sides: 17x = -50+50=0. Then x = 0/17 = 0. | linear_equation |
8,016 | percentages | easy | What is 57% of 421? | 239.97 | Calculate 57/100 * 421 = 0.57*421 = 239.97. | percentages |
8,017 | exponents | easy | What is 4^4? | 256 | 4^4 means multiply 4 by itself 4 times: 4*4*4*4 = 256. | exponents |
8,018 | 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 |
8,019 | statistics | easy | What is the mean (average) of 55, 71, 68, 82, 58? | 66.8 | Mean = sum/count. Sum = 55+71+68+82+58=334. Count=5. Mean=334/5=66.8. | mean |
8,020 | calculus | medium | What is the derivative of 3x^2 with respect to x? | 6x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^2] = 3*2*x^1 = 6x. | derivative |
8,021 | arithmetic | easy | What is 235 + 740 * 76? Remember order of operations. | 56475 | Order of operations (PEMDAS): first 740*76=56240, then 235+56240=56475. | basic_operations |
8,022 | percentages | easy | What is 10% of 940? | 94 | Calculate 10/100 * 940 = 0.1*940 = 94. | percentages |
8,023 | statistics | easy | What is the mean (average) of 12, 80, 92? | 61.33 | Mean = sum/count. Sum = 12+80+92=184. Count=3. Mean=184/3=61.33. | mean |
8,024 | roots | easy | What is the square root of 1296? | 36 | Find number that when squared gives 1296. 36*36=1296, so sqrt(1296)=36. | square_roots |
8,025 | calculus | medium | What is the derivative of 4x^5 with respect to x? | 20x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^5] = 4*5*x^4 = 20x^4. | derivative |
8,026 | algebra | easy | Solve for x: 18x + 10 = 298 | 16 | Subtract 10 from both sides: 18x = 298-10=288. Then divide by 18: x = 288/18 = 16. | linear_equation |
8,027 | statistics | easy | What is the mean (average) of 67, 64, 26? | 52.33 | Mean = sum/count. Sum = 67+64+26=157. Count=3. Mean=157/3=52.33. | mean |
8,028 | arithmetic | easy | What is 821 - 258? | 563 | Subtract: 821 - 258 = 563. | basic_operations |
8,029 | 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 |
8,030 | arithmetic | easy | What is 29121 divided by 62? Give answer to 2 decimal places. | 469.69 | Calculate 29121/ 62 = 469.6935, rounded to 2 decimals is 469.69. | division |
8,031 | exponents | easy | What is 6^2? | 36 | 6^2 means multiply 6 by itself 2 times: 6*6 = 36. | exponents |
8,032 | 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 |
8,033 | percentages | easy | What is 25% of 779? | 194.75 | Calculate 25/100 * 779 = 0.25*779 = 194.75. | percentages |
8,034 | algebra | medium | Solve for x: x^2 - 14x + 49 = 0 | x = 7 | Factor as (x - 7)^2 = 0, so root is 7 (double root). Sum of roots = 14, product = 49. | quadratic |
8,035 | arithmetic | easy | What is 483 + 5 * 3? Remember order of operations. | 498 | Order of operations (PEMDAS): first 5*3=15, then 483+15=498. | basic_operations |
8,036 | arithmetic | easy | What is 540 - 184? | 356 | Subtract: 540 - 184 = 356. | basic_operations |
8,037 | arithmetic | easy | What is 154 + 962? | 1116 | Add the two numbers: 154 + 962 = 1116. | basic_operations |
8,038 | arithmetic | easy | What is 741 + 85 * 63? Remember order of operations. | 6096 | Order of operations (PEMDAS): first 85*63=5355, then 741+5355=6096. | basic_operations |
8,039 | geometry | easy | Find the area of a rectangle with length 51 and width 36. | 1836 | Area = length * width = 51*36 = 1836. | rectangle_area |
8,040 | statistics | easy | What is the mean (average) of 18, 85, 90, 9, 8? | 42 | Mean = sum/count. Sum = 18+85+90+9+8=210. Count=5. Mean=210/5=42.0. | mean |
8,041 | 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 |
8,042 | algebra | easy | Solve for x: 15x - 10 = -295 | -19 | Add 10 to both sides: 15x = -295+10=-285. Then x = -285/15 = -19. | linear_equation |
8,043 | arithmetic | easy | What is 4162 divided by 47? Give answer to 2 decimal places. | 88.55 | Calculate 4162/ 47 = 88.5532, rounded to 2 decimals is 88.55. | division |
8,044 | geometry | easy | Find the area of a circle with radius 11. Use pi=3.14159, round to 2 decimals. | 380.13 | Area = pi*r^2 = 3.14159*11^2 = 3.14159*121 = 380.13. | circle_area |
8,045 | arithmetic | easy | What is 889 + 236 * 93? Remember order of operations. | 22837 | Order of operations (PEMDAS): first 236*93=21948, then 889+21948=22837. | basic_operations |
8,046 | roots | easy | What is the square root of 361? | 19 | Find number that when squared gives 361. 19*19=361, so sqrt(361)=19. | square_roots |
8,047 | fractions | medium | What is 7/2 * 19/13? Give as simplified fraction. | 133/26 | Multiply numerators: 7*19=133. Denominators: 2*13=26. Simplify by gcd 1 to get 133/26. | fraction_operations |
8,048 | statistics | easy | What is the mean (average) of 31, 89, 72? | 64 | Mean = sum/count. Sum = 31+89+72=192. Count=3. Mean=192/3=64.0. | mean |
8,049 | fractions | medium | What is 13/19 + 1/15? Give as simplified fraction. | 214/285 | Common denominator 19*15=285. 13/19=195/285, 1/15=19/285. Sum = 214/285 = 214/285 simplified. | fraction_operations |
8,050 | arithmetic | easy | What is 886 - 266? | 620 | Subtract: 886 - 266 = 620. | basic_operations |
8,051 | algebra | easy | Solve for x: 8x - 33 = 7 | 5 | Add 33 to both sides: 8x = 7+33=40. Then x = 40/8 = 5. | linear_equation |
8,052 | statistics | easy | What is the mean (average) of 35, 95, 85? | 71.67 | Mean = sum/count. Sum = 35+95+85=215. Count=3. Mean=215/3=71.67. | mean |
8,053 | roots | easy | What is the square root of 1089? | 33 | Find number that when squared gives 1089. 33*33=1089, so sqrt(1089)=33. | square_roots |
8,054 | arithmetic | easy | What is 26325 / 81? | 325 | Divide: 26325 ÷ 81 = 325 because 81*325=26325. | division |
8,055 | arithmetic | easy | What is 1104 / 48? | 23 | Divide: 1104 ÷ 48 = 23 because 48*23=1104. | division |
8,056 | 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 |
8,057 | statistics | easy | What is the mean (average) of 17, 4, 80, 17, 45? | 32.6 | Mean = sum/count. Sum = 17+4+80+17+45=163. Count=5. Mean=163/5=32.6. | mean |
8,058 | arithmetic | easy | What is 586 + 134? | 720 | Add the two numbers: 586 + 134 = 720. | basic_operations |
8,059 | algebra | easy | Solve for x: 18x + 42 = 78 | 2 | Subtract 42 from both sides: 18x = 78-42=36. Then divide by 18: x = 36/18 = 2. | linear_equation |
8,060 | algebra | easy | Solve for x: 8x - 21 = -109 | -11 | Add 21 to both sides: 8x = -109+21=-88. Then x = -88/8 = -11. | linear_equation |
8,061 | word_problems | easy | If you have 5 pencils and you buy 18 more pencils, how many pencils do you have in total? | 23 | Add initial 5 plus bought 18: 5+18=23. | addition_word |
8,062 | fractions | medium | What is 16/20 + 11/18? Give as simplified fraction. | 127/90 | Common denominator 20*18=360. 16/20=288/360, 11/18=220/360. Sum = 508/360 = 127/90 simplified. | fraction_operations |
8,063 | arithmetic | easy | What is 12375 / 45? | 275 | Divide: 12375 ÷ 45 = 275 because 45*275=12375. | division |
8,064 | roots | easy | What is the square root of 64? | 8 | Find number that when squared gives 64. 8*8=64, so sqrt(64)=8. | square_roots |
8,065 | arithmetic | easy | What is 83 + 57 * 28? Remember order of operations. | 1679 | Order of operations (PEMDAS): first 57*28=1596, then 83+1596=1679. | basic_operations |
8,066 | algebra | medium | Solve for x: x^2 + 6x - 40 = 0 | x = -10, 4 | Factor: (x - -10)(x - 4) = x^2 -(-6)x + -40 = 0. So x = -10 or 4. Check sum = -6, product = -40. | quadratic |
8,067 | 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 |
8,068 | exponents | easy | What is 3^4? | 81 | 3^4 means multiply 3 by itself 4 times: 3*3*3*3 = 81. | exponents |
8,069 | 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 |
8,070 | word_problems | easy | If you have 35 candies and you buy 38 more candies, how many candies do you have in total? | 73 | Add initial 35 plus bought 38: 35+38=73. | addition_word |
8,071 | algebra | medium | Solve for x: x^2 + 4x - 12 = 0 | x = 2, -6 | Factor: (x - 2)(x - -6) = x^2 -(-4)x + -12 = 0. So x = 2 or -6. Check sum = -4, product = -12. | quadratic |
8,072 | number_theory | medium | What is the GCD (greatest common divisor) of 77 and 11? | 11 | Find greatest number dividing both 77 and 11. Divisors common, greatest is 11. | gcd |
8,073 | arithmetic | easy | What is 61 * 94? | 5734 | Multiply: 61 * 94 = 5734. | basic_operations |
8,074 | calculus | medium | What is the indefinite integral of x^6 dx? | x^7/7 + C | Power rule for integration: integral x^n dx = x^(n+1)/(n+1) + C. So integral x^6 = x^7/7 + C. | integral |
8,075 | word_problems | easy | If you have 66 dollars and you buy 11 more dollars, how many dollars do you have in total? | 77 | Add initial 66 plus bought 11: 66+11=77. | addition_word |
8,076 | exponents | easy | What is 5^4? | 625 | 5^4 means multiply 5 by itself 4 times: 5*5*5*5 = 625. | exponents |
8,077 | fractions | medium | What is 11/11 * 20/16? Give as simplified fraction. | 5/4 | Multiply numerators: 11*20=220. Denominators: 11*16=176. Simplify by gcd 44 to get 5/4. | fraction_operations |
8,078 | statistics | easy | What is the mean (average) of 78, 49, 47? | 58 | Mean = sum/count. Sum = 78+49+47=174. Count=3. Mean=174/3=58.0. | mean |
8,079 | statistics | easy | What is the mean (average) of 44, 52, 97? | 64.33 | Mean = sum/count. Sum = 44+52+97=193. Count=3. Mean=193/3=64.33. | mean |
8,080 | exponents | easy | What is 5^2? | 25 | 5^2 means multiply 5 by itself 2 times: 5*5 = 25. | exponents |
8,081 | algebra | medium | Solve for x: x^2 - 17x + 72 = 0 | x = 9, 8 | Factor: (x - 9)(x - 8) = x^2 -(17)x + 72 = 0. So x = 9 or 8. Check sum = 17, product = 72. | quadratic |
8,082 | arithmetic | easy | What is 826 - 782? | 44 | Subtract: 826 - 782 = 44. | basic_operations |
8,083 | arithmetic | easy | What is 657 - 304? | 353 | Subtract: 657 - 304 = 353. | basic_operations |
8,084 | 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 |
8,085 | arithmetic | easy | What is 739 + 52 * 73? Remember order of operations. | 4535 | Order of operations (PEMDAS): first 52*73=3796, then 739+3796=4535. | basic_operations |
8,086 | arithmetic | easy | What is 716 + 430 * 46? Remember order of operations. | 20496 | Order of operations (PEMDAS): first 430*46=19780, then 716+19780=20496. | basic_operations |
8,087 | 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 |
8,088 | exponents | easy | What is 4^5? | 1024 | 4^5 means multiply 4 by itself 5 times: 4*4*4*4*4 = 1024. | exponents |
8,089 | calculus | medium | What is the derivative of 3x^7 with respect to x? | 21x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^7] = 3*7*x^6 = 21x^6. | derivative |
8,090 | algebra | easy | Solve for x: 12x - 17 = 199 | 18 | Add 17 to both sides: 12x = 199+17=216. Then x = 216/12 = 18. | linear_equation |
8,091 | algebra | easy | Solve for x: 2x - 22 = -10 | 6 | Add 22 to both sides: 2x = -10+22=12. Then x = 12/2 = 6. | linear_equation |
8,092 | percentages | easy | What is 7% of 610? | 42.7 | Calculate 7/100 * 610 = 0.07*610 = 42.7. | percentages |
8,093 | arithmetic | easy | What is 8 * 13? | 104 | Multiply: 8 * 13 = 104. | basic_operations |
8,094 | algebra | easy | Solve for x: 15x - 20 = -230 | -14 | Add 20 to both sides: 15x = -230+20=-210. Then x = -210/15 = -14. | linear_equation |
8,095 | arithmetic | easy | What is 23128 / 98? | 236 | Divide: 23128 ÷ 98 = 236 because 98*236=23128. | division |
8,096 | calculus | medium | What is the derivative of 2x^4 with respect to x? | 8x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^4] = 2*4*x^3 = 8x^3. | derivative |
8,097 | geometry | easy | Find the circumference of a circle with radius 22. Use pi=3.14159, round to 2 decimals. | 138.23 | Circumference = 2*pi*r = 2*3.14159*22 = 138.23. | circle_circum |
8,098 | 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 |
8,099 | arithmetic | easy | What is 900 + 12? | 912 | Add the two numbers: 900 + 12 = 912. | basic_operations |
8,100 | algebra | easy | Solve for x: 20x - 22 = -162 | -7 | Add 22 to both sides: 20x = -162+22=-140. Then x = -140/20 = -7. | linear_equation |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.