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 |
|---|---|---|---|---|---|---|
734,001 | fractions | medium | What is 4/7 * 10/20? Give as simplified fraction. | 2/7 | Multiply numerators: 4*10=40. Denominators: 7*20=140. Simplify by gcd 20 to get 2/7. | fraction_operations |
734,002 | number_theory | medium | What is the LCM (least common multiple) of 62 and 6? | 186 | LCM = |62*6| / GCD(62,6). GCD=2, so LCM=372/2=186. | lcm |
734,003 | fractions | medium | What is 4/10 * 13/20? Give as simplified fraction. | 13/50 | Multiply numerators: 4*13=52. Denominators: 10*20=200. Simplify by gcd 4 to get 13/50. | fraction_operations |
734,004 | algebra | medium | Solve for x: x^2 - 1 = 0 | x = 1, -1 | Factor: (x - 1)(x - -1) = x^2 -(0)x + -1 = 0. So x = 1 or -1. Check sum = 0, product = -1. | quadratic |
734,005 | algebra | medium | Solve for x: x^2 + 3x - 54 = 0 | x = -9, 6 | Factor: (x - -9)(x - 6) = x^2 -(-3)x + -54 = 0. So x = -9 or 6. Check sum = -3, product = -54. | quadratic |
734,006 | algebra | easy | Solve for x: 5x - 3 = -103 | -20 | Add 3 to both sides: 5x = -103+3=-100. Then x = -100/5 = -20. | linear_equation |
734,007 | arithmetic | easy | What is 930 + 790? | 1720 | Add the two numbers: 930 + 790 = 1720. | basic_operations |
734,008 | exponents | easy | What is 9^2? | 81 | 9^2 means multiply 9 by itself 2 times: 9*9 = 81. | exponents |
734,009 | algebra | medium | Solve for x: x^2 + 1x - 90 = 0 | x = 9, -10 | Factor: (x - 9)(x - -10) = x^2 -(-1)x + -90 = 0. So x = 9 or -10. Check sum = -1, product = -90. | quadratic |
734,010 | statistics | easy | What is the mean (average) of 48, 21, 72, 41? | 45.5 | Mean = sum/count. Sum = 48+21+72+41=182. Count=4. Mean=182/4=45.5. | mean |
734,011 | statistics | easy | What is the mean (average) of 83, 98, 52, 55? | 72 | Mean = sum/count. Sum = 83+98+52+55=288. Count=4. Mean=288/4=72.0. | mean |
734,012 | geometry | easy | Find the area of a circle with radius 35. Use pi=3.14159, round to 2 decimals. | 3848.45 | Area = pi*r^2 = 3.14159*35^2 = 3.14159*1225 = 3848.45. | circle_area |
734,013 | algebra | easy | Solve for x: 18x + 23 = -103 | -7 | Subtract 23 from both sides: 18x = -103-23=-126. Then divide by 18: x = -126/18 = -7. | linear_equation |
734,014 | fractions | medium | What is 14/16 - 20/10? Give as simplified fraction. | -9/8 | Common denominator 160. Numerator 140-320=-180. So -180/160 simplifies to -9/8. | fraction_operations |
734,015 | algebra | easy | Solve for x: 6x - 16 = 20 | 6 | Add 16 to both sides: 6x = 20+16=36. Then x = 36/6 = 6. | linear_equation |
734,016 | arithmetic | easy | What is 816 + 234 * 27? Remember order of operations. | 7134 | Order of operations (PEMDAS): first 234*27=6318, then 816+6318=7134. | basic_operations |
734,017 | algebra | medium | Solve for x: x^2 + 6x - 27 = 0 | x = -9, 3 | Factor: (x - -9)(x - 3) = x^2 -(-6)x + -27 = 0. So x = -9 or 3. Check sum = -6, product = -27. | quadratic |
734,018 | arithmetic | easy | What is 46 * 67? | 3082 | Multiply: 46 * 67 = 3082. | basic_operations |
734,019 | arithmetic | easy | What is 3717 / 9? | 413 | Divide: 3717 ÷ 9 = 413 because 9*413=3717. | division |
734,020 | word_problems | easy | If you have 74 pencils and you buy 48 more pencils, how many pencils do you have in total? | 122 | Add initial 74 plus bought 48: 74+48=122. | addition_word |
734,021 | 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 |
734,022 | roots | easy | What is the square root of 2401? | 49 | Find number that when squared gives 2401. 49*49=2401, so sqrt(2401)=49. | square_roots |
734,023 | fractions | medium | What is 9/10 + 7/11? Give as simplified fraction. | 169/110 | Common denominator 10*11=110. 9/10=99/110, 7/11=70/110. Sum = 169/110 = 169/110 simplified. | fraction_operations |
734,024 | fractions | medium | What is 3/13 - 8/12? Give as simplified fraction. | -17/39 | Common denominator 156. Numerator 36-104=-68. So -68/156 simplifies to -17/39. | fraction_operations |
734,025 | 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 |
734,026 | 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 |
734,027 | statistics | easy | What is the mean (average) of 41, 69, 38, 100, 7? | 51 | Mean = sum/count. Sum = 41+69+38+100+7=255. Count=5. Mean=255/5=51.0. | mean |
734,028 | algebra | easy | Solve for x: 8x - 32 = 48 | 10 | Add 32 to both sides: 8x = 48+32=80. Then x = 80/8 = 10. | linear_equation |
734,029 | number_theory | medium | What is the GCD (greatest common divisor) of 97 and 69? | 1 | Find greatest number dividing both 97 and 69. Divisors common, greatest is 1. | gcd |
734,030 | arithmetic | easy | What is 415 + 51? | 466 | Add the two numbers: 415 + 51 = 466. | basic_operations |
734,031 | geometry | easy | Find the circumference of a circle with radius 39. Use pi=3.14159, round to 2 decimals. | 245.04 | Circumference = 2*pi*r = 2*3.14159*39 = 245.04. | circle_circum |
734,032 | word_problems | easy | If you have 46 candies and you buy 39 more candies, how many candies do you have in total? | 85 | Add initial 46 plus bought 39: 46+39=85. | addition_word |
734,033 | percentages | easy | What is 72% of 625? | 450 | Calculate 72/100 * 625 = 0.72*625 = 450. | percentages |
734,034 | 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 |
734,035 | exponents | easy | What is 10^5? | 100000 | 10^5 means multiply 10 by itself 5 times: 10*10*10*10*10 = 100000. | exponents |
734,036 | statistics | easy | What is the mean (average) of 87, 71, 67? | 75 | Mean = sum/count. Sum = 87+71+67=225. Count=3. Mean=225/3=75.0. | mean |
734,037 | arithmetic | easy | What is 23921 divided by 97? Give answer to 2 decimal places. | 246.61 | Calculate 23921/ 97 = 246.6082, rounded to 2 decimals is 246.61. | division |
734,038 | word_problems | easy | If you have 92 candies and you buy 12 more candies, how many candies do you have in total? | 104 | Add initial 92 plus bought 12: 92+12=104. | addition_word |
734,039 | roots | easy | What is the square root of 729? | 27 | Find number that when squared gives 729. 27*27=729, so sqrt(729)=27. | square_roots |
734,040 | 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 |
734,041 | algebra | easy | Solve for x: 12x + 15 = 123 | 9 | Subtract 15 from both sides: 12x = 123-15=108. Then divide by 12: x = 108/12 = 9. | linear_equation |
734,042 | word_problems | easy | If you have 30 pencils and you buy 5 more pencils, how many pencils do you have in total? | 35 | Add initial 30 plus bought 5: 30+5=35. | addition_word |
734,043 | statistics | easy | What is the mean (average) of 1, 99, 63? | 54.33 | Mean = sum/count. Sum = 1+99+63=163. Count=3. Mean=163/3=54.33. | mean |
734,044 | fractions | medium | What is 2/16 + 19/11? Give as simplified fraction. | 163/88 | Common denominator 16*11=176. 2/16=22/176, 19/11=304/176. Sum = 326/176 = 163/88 simplified. | fraction_operations |
734,045 | arithmetic | easy | What is 941 + 988? | 1929 | Add the two numbers: 941 + 988 = 1929. | basic_operations |
734,046 | geometry | easy | Find the area of a circle with radius 34. Use pi=3.14159, round to 2 decimals. | 3631.68 | Area = pi*r^2 = 3.14159*34^2 = 3.14159*1156 = 3631.68. | circle_area |
734,047 | statistics | easy | What is the mean (average) of 64, 16, 70, 93? | 60.75 | Mean = sum/count. Sum = 64+16+70+93=243. Count=4. Mean=243/4=60.75. | mean |
734,048 | percentages | easy | What is 25% of 290? | 72.5 | Calculate 25/100 * 290 = 0.25*290 = 72.5. | percentages |
734,049 | percentages | easy | What is 16% of 607? | 97.12 | Calculate 16/100 * 607 = 0.16*607 = 97.12. | percentages |
734,050 | algebra | easy | Solve for x: 5x - 9 = -49 | -8 | Add 9 to both sides: 5x = -49+9=-40. Then x = -40/5 = -8. | linear_equation |
734,051 | 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 |
734,052 | algebra | easy | Solve for x: 2x + 14 = 24 | 5 | Subtract 14 from both sides: 2x = 24-14=10. Then divide by 2: x = 10/2 = 5. | linear_equation |
734,053 | arithmetic | easy | What is 25 * 62? | 1550 | Multiply: 25 * 62 = 1550. | basic_operations |
734,054 | statistics | easy | What is the mean (average) of 39, 88, 8, 3? | 34.5 | Mean = sum/count. Sum = 39+88+8+3=138. Count=4. Mean=138/4=34.5. | mean |
734,055 | arithmetic | easy | What is 952 - 346? | 606 | Subtract: 952 - 346 = 606. | basic_operations |
734,056 | fractions | medium | What is 5/17 * 7/11? Give as simplified fraction. | 35/187 | Multiply numerators: 5*7=35. Denominators: 17*11=187. Simplify by gcd 1 to get 35/187. | fraction_operations |
734,057 | algebra | easy | Solve for x: 8x + 33 = 121 | 11 | Subtract 33 from both sides: 8x = 121-33=88. Then divide by 8: x = 88/8 = 11. | linear_equation |
734,058 | statistics | easy | What is the mean (average) of 41, 11, 82? | 44.67 | Mean = sum/count. Sum = 41+11+82=134. Count=3. Mean=134/3=44.67. | mean |
734,059 | statistics | easy | What is the mean (average) of 88, 58, 34, 38, 97? | 63 | Mean = sum/count. Sum = 88+58+34+38+97=315. Count=5. Mean=315/5=63.0. | mean |
734,060 | algebra | easy | Solve for x: 6x + 47 = 41 | -1 | Subtract 47 from both sides: 6x = 41-47=-6. Then divide by 6: x = -6/6 = -1. | linear_equation |
734,061 | arithmetic | easy | What is 24794 / 77? | 322 | Divide: 24794 ÷ 77 = 322 because 77*322=24794. | division |
734,062 | calculus | medium | What is the derivative of 8x^6 with respect to x? | 48x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^6] = 8*6*x^5 = 48x^5. | derivative |
734,063 | algebra | easy | Solve for x: 18x - 40 = -274 | -13 | Add 40 to both sides: 18x = -274+40=-234. Then x = -234/18 = -13. | linear_equation |
734,064 | arithmetic | easy | What is 643 - 558? | 85 | Subtract: 643 - 558 = 85. | basic_operations |
734,065 | statistics | easy | What is the mean (average) of 31, 47, 6, 49? | 33.25 | Mean = sum/count. Sum = 31+47+6+49=133. Count=4. Mean=133/4=33.25. | mean |
734,066 | exponents | easy | What is 8^3? | 512 | 8^3 means multiply 8 by itself 3 times: 8*8*8 = 512. | exponents |
734,067 | arithmetic | easy | What is 966 + 620? | 1586 | Add the two numbers: 966 + 620 = 1586. | basic_operations |
734,068 | exponents | easy | What is 7^3? | 343 | 7^3 means multiply 7 by itself 3 times: 7*7*7 = 343. | exponents |
734,069 | calculus | medium | What is the derivative of 1x^4 with respect to x? | 4x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^4] = 1*4*x^3 = 4x^3. | derivative |
734,070 | arithmetic | easy | What is 887 - 832? | 55 | Subtract: 887 - 832 = 55. | basic_operations |
734,071 | statistics | easy | What is the mean (average) of 48, 15, 98, 43? | 51 | Mean = sum/count. Sum = 48+15+98+43=204. Count=4. Mean=204/4=51.0. | mean |
734,072 | fractions | medium | What is 18/19 + 2/15? Give as simplified fraction. | 308/285 | Common denominator 19*15=285. 18/19=270/285, 2/15=38/285. Sum = 308/285 = 308/285 simplified. | fraction_operations |
734,073 | statistics | easy | What is the mean (average) of 44, 39, 66, 54? | 50.75 | Mean = sum/count. Sum = 44+39+66+54=203. Count=4. Mean=203/4=50.75. | mean |
734,074 | 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 |
734,075 | arithmetic | easy | What is 582 + 263 * 10? Remember order of operations. | 3212 | Order of operations (PEMDAS): first 263*10=2630, then 582+2630=3212. | basic_operations |
734,076 | algebra | easy | Solve for x: 10x - 29 = -39 | -1 | Add 29 to both sides: 10x = -39+29=-10. Then x = -10/10 = -1. | linear_equation |
734,077 | statistics | easy | What is the mean (average) of 15, 47, 24? | 28.67 | Mean = sum/count. Sum = 15+47+24=86. Count=3. Mean=86/3=28.67. | mean |
734,078 | arithmetic | easy | What is 164 / 4? | 41 | Divide: 164 ÷ 4 = 41 because 4*41=164. | division |
734,079 | geometry | easy | Find the area of a rectangle with length 4 and width 64. | 256 | Area = length * width = 4*64 = 256. | rectangle_area |
734,080 | calculus | medium | What is the derivative of 3x^5 with respect to x? | 15x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^5] = 3*5*x^4 = 15x^4. | derivative |
734,081 | exponents | easy | What is 8^5? | 32768 | 8^5 means multiply 8 by itself 5 times: 8*8*8*8*8 = 32768. | exponents |
734,082 | arithmetic | easy | What is 3360 / 24? | 140 | Divide: 3360 ÷ 24 = 140 because 24*140=3360. | division |
734,083 | number_theory | medium | What is the LCM (least common multiple) of 100 and 79? | 7900 | LCM = |100*79| / GCD(100,79). GCD=1, so LCM=7900/1=7900. | lcm |
734,084 | arithmetic | easy | What is 176 / 2? | 88 | Divide: 176 ÷ 2 = 88 because 2*88=176. | division |
734,085 | arithmetic | easy | What is 8388 / 18? | 466 | Divide: 8388 ÷ 18 = 466 because 18*466=8388. | division |
734,086 | arithmetic | easy | What is 354 - 301? | 53 | Subtract: 354 - 301 = 53. | basic_operations |
734,087 | algebra | easy | Solve for x: 15x + 43 = 253 | 14 | Subtract 43 from both sides: 15x = 253-43=210. Then divide by 15: x = 210/15 = 14. | linear_equation |
734,088 | word_problems | easy | If you have 39 books and you buy 6 more books, how many books do you have in total? | 45 | Add initial 39 plus bought 6: 39+6=45. | addition_word |
734,089 | geometry | easy | Find the area of a rectangle with length 73 and width 31. | 2263 | Area = length * width = 73*31 = 2263. | rectangle_area |
734,090 | number_theory | medium | What is the GCD (greatest common divisor) of 91 and 50? | 1 | Find greatest number dividing both 91 and 50. Divisors common, greatest is 1. | gcd |
734,091 | arithmetic | easy | What is 14616 / 56? | 261 | Divide: 14616 ÷ 56 = 261 because 56*261=14616. | division |
734,092 | 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 |
734,093 | fractions | medium | What is 18/18 - 3/3? Give as simplified fraction. | 0 | Common denominator 54. Numerator 54-54=0. So 0/54 simplifies to 0. | fraction_operations |
734,094 | arithmetic | easy | What is 787 - 339? | 448 | Subtract: 787 - 339 = 448. | basic_operations |
734,095 | fractions | medium | What is 1/18 + 1/10? Give as simplified fraction. | 7/45 | Common denominator 18*10=180. 1/18=10/180, 1/10=18/180. Sum = 28/180 = 7/45 simplified. | fraction_operations |
734,096 | arithmetic | easy | What is 807 + 770? | 1577 | Add the two numbers: 807 + 770 = 1577. | basic_operations |
734,097 | number_theory | medium | What is the GCD (greatest common divisor) of 13 and 25? | 1 | Find greatest number dividing both 13 and 25. Divisors common, greatest is 1. | gcd |
734,098 | exponents | easy | What is 10^2? | 100 | 10^2 means multiply 10 by itself 2 times: 10*10 = 100. | exponents |
734,099 | geometry | easy | Find the circumference of a circle with radius 25. Use pi=3.14159, round to 2 decimals. | 157.08 | Circumference = 2*pi*r = 2*3.14159*25 = 157.08. | circle_circum |
734,100 | 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 |
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