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 |
|---|---|---|---|---|---|---|
13,001 | percentages | easy | What is 35% of 657? | 229.95 | Calculate 35/100 * 657 = 0.35*657 = 229.95. | percentages |
13,002 | word_problems | easy | If you have 44 apples and you buy 41 more apples, how many apples do you have in total? | 85 | Add initial 44 plus bought 41: 44+41=85. | addition_word |
13,003 | arithmetic | easy | What is 840 + 271 * 100? Remember order of operations. | 27940 | Order of operations (PEMDAS): first 271*100=27100, then 840+27100=27940. | basic_operations |
13,004 | algebra | easy | Solve for x: 6x - 26 = -146 | -20 | Add 26 to both sides: 6x = -146+26=-120. Then x = -120/6 = -20. | linear_equation |
13,005 | 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 |
13,006 | statistics | easy | What is the mean (average) of 59, 32, 28, 100? | 54.75 | Mean = sum/count. Sum = 59+32+28+100=219. Count=4. Mean=219/4=54.75. | mean |
13,007 | 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 |
13,008 | algebra | medium | Solve for x: x^2 - 11x + 30 = 0 | x = 6, 5 | Factor: (x - 6)(x - 5) = x^2 -(11)x + 30 = 0. So x = 6 or 5. Check sum = 11, product = 30. | quadratic |
13,009 | calculus | medium | What is the derivative of 8x^4 with respect to x? | 32x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^4] = 8*4*x^3 = 32x^3. | derivative |
13,010 | number_theory | medium | What is the LCM (least common multiple) of 94 and 46? | 2162 | LCM = |94*46| / GCD(94,46). GCD=2, so LCM=4324/2=2162. | lcm |
13,011 | algebra | easy | Solve for x: 11x + 15 = 81 | 6 | Subtract 15 from both sides: 11x = 81-15=66. Then divide by 11: x = 66/11 = 6. | linear_equation |
13,012 | roots | easy | What is the square root of 625? | 25 | Find number that when squared gives 625. 25*25=625, so sqrt(625)=25. | square_roots |
13,013 | number_theory | medium | What is the LCM (least common multiple) of 4 and 93? | 372 | LCM = |4*93| / GCD(4,93). GCD=1, so LCM=372/1=372. | lcm |
13,014 | calculus | medium | What is the derivative of 9x^4 with respect to x? | 36x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^4] = 9*4*x^3 = 36x^3. | derivative |
13,015 | statistics | easy | What is the mean (average) of 22, 85, 52, 40, 66? | 53 | Mean = sum/count. Sum = 22+85+52+40+66=265. Count=5. Mean=265/5=53.0. | mean |
13,016 | statistics | easy | What is the mean (average) of 29, 6, 7? | 14 | Mean = sum/count. Sum = 29+6+7=42. Count=3. Mean=42/3=14.0. | mean |
13,017 | arithmetic | easy | What is 352 - 180? | 172 | Subtract: 352 - 180 = 172. | basic_operations |
13,018 | geometry | easy | Find the area of a circle with radius 16. Use pi=3.14159, round to 2 decimals. | 804.25 | Area = pi*r^2 = 3.14159*16^2 = 3.14159*256 = 804.25. | circle_area |
13,019 | percentages | easy | What is 37% of 456? | 168.72 | Calculate 37/100 * 456 = 0.37*456 = 168.72. | percentages |
13,020 | number_theory | medium | What is the LCM (least common multiple) of 18 and 75? | 450 | LCM = |18*75| / GCD(18,75). GCD=3, so LCM=1350/3=450. | lcm |
13,021 | exponents | easy | What is 6^5? | 7776 | 6^5 means multiply 6 by itself 5 times: 6*6*6*6*6 = 7776. | exponents |
13,022 | arithmetic | easy | What is 90 * 40? | 3600 | Multiply: 90 * 40 = 3600. | basic_operations |
13,023 | roots | easy | What is the square root of 1849? | 43 | Find number that when squared gives 1849. 43*43=1849, so sqrt(1849)=43. | square_roots |
13,024 | calculus | medium | What is the derivative of 4x^3 with respect to x? | 12x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^3] = 4*3*x^2 = 12x^2. | derivative |
13,025 | statistics | easy | What is the mean (average) of 55, 78, 43? | 58.67 | Mean = sum/count. Sum = 55+78+43=176. Count=3. Mean=176/3=58.67. | mean |
13,026 | arithmetic | easy | What is 2682 divided by 10? Give answer to 2 decimal places. | 268.2 | Calculate 2682/ 10 = 268.2000, rounded to 2 decimals is 268.2. | division |
13,027 | arithmetic | easy | What is 7419 divided by 27? Give answer to 2 decimal places. | 274.78 | Calculate 7419/ 27 = 274.7778, rounded to 2 decimals is 274.78. | division |
13,028 | number_theory | medium | What is the LCM (least common multiple) of 84 and 79? | 6636 | LCM = |84*79| / GCD(84,79). GCD=1, so LCM=6636/1=6636. | lcm |
13,029 | 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 |
13,030 | geometry | easy | Find the perimeter of a rectangle with length 23 and width 74. | 194 | Perimeter = 2*(length+width) = 2*(23+74) = 2*97 = 194. | rectangle_perim |
13,031 | arithmetic | easy | What is 8526 / 87? | 98 | Divide: 8526 ÷ 87 = 98 because 87*98=8526. | division |
13,032 | exponents | easy | What is 3^5? | 243 | 3^5 means multiply 3 by itself 5 times: 3*3*3*3*3 = 243. | exponents |
13,033 | word_problems | easy | If you have 97 apples and you buy 6 more apples, how many apples do you have in total? | 103 | Add initial 97 plus bought 6: 97+6=103. | addition_word |
13,034 | arithmetic | easy | What is 49 * 57? | 2793 | Multiply: 49 * 57 = 2793. | basic_operations |
13,035 | word_problems | easy | If you have 42 candies and you buy 13 more candies, how many candies do you have in total? | 55 | Add initial 42 plus bought 13: 42+13=55. | addition_word |
13,036 | arithmetic | easy | What is 1 * 76? | 76 | Multiply: 1 * 76 = 76. | basic_operations |
13,037 | algebra | easy | Solve for x: 15x - 38 = -98 | -4 | Add 38 to both sides: 15x = -98+38=-60. Then x = -60/15 = -4. | linear_equation |
13,038 | percentages | easy | What is 88% of 426? | 374.88 | Calculate 88/100 * 426 = 0.88*426 = 374.88. | percentages |
13,039 | geometry | easy | Find the circumference of a circle with radius 17. Use pi=3.14159, round to 2 decimals. | 106.81 | Circumference = 2*pi*r = 2*3.14159*17 = 106.81. | circle_circum |
13,040 | fractions | medium | What is 10/17 * 13/18? Give as simplified fraction. | 65/153 | Multiply numerators: 10*13=130. Denominators: 17*18=306. Simplify by gcd 2 to get 65/153. | fraction_operations |
13,041 | fractions | medium | What is 17/15 * 3/14? Give as simplified fraction. | 17/70 | Multiply numerators: 17*3=51. Denominators: 15*14=210. Simplify by gcd 3 to get 17/70. | fraction_operations |
13,042 | arithmetic | easy | What is 62 * 59? | 3658 | Multiply: 62 * 59 = 3658. | basic_operations |
13,043 | roots | easy | What is the square root of 1156? | 34 | Find number that when squared gives 1156. 34*34=1156, so sqrt(1156)=34. | square_roots |
13,044 | arithmetic | easy | What is 553 + 300? | 853 | Add the two numbers: 553 + 300 = 853. | basic_operations |
13,045 | 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 |
13,046 | roots | easy | What is the square root of 121? | 11 | Find number that when squared gives 121. 11*11=121, so sqrt(121)=11. | square_roots |
13,047 | arithmetic | easy | What is 95 * 5? | 475 | Multiply: 95 * 5 = 475. | basic_operations |
13,048 | arithmetic | easy | What is 9 * 18? | 162 | Multiply: 9 * 18 = 162. | basic_operations |
13,049 | arithmetic | easy | What is 380 + 327 * 90? Remember order of operations. | 29810 | Order of operations (PEMDAS): first 327*90=29430, then 380+29430=29810. | basic_operations |
13,050 | algebra | easy | Solve for x: 18x + 46 = 28 | -1 | Subtract 46 from both sides: 18x = 28-46=-18. Then divide by 18: x = -18/18 = -1. | linear_equation |
13,051 | roots | easy | What is the square root of 1600? | 40 | Find number that when squared gives 1600. 40*40=1600, so sqrt(1600)=40. | square_roots |
13,052 | number_theory | medium | What is the LCM (least common multiple) of 69 and 98? | 6762 | LCM = |69*98| / GCD(69,98). GCD=1, so LCM=6762/1=6762. | lcm |
13,053 | 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 |
13,054 | roots | easy | What is the square root of 576? | 24 | Find number that when squared gives 576. 24*24=576, so sqrt(576)=24. | square_roots |
13,055 | arithmetic | easy | What is 7304 / 83? | 88 | Divide: 7304 ÷ 83 = 88 because 83*88=7304. | division |
13,056 | percentages | easy | What is 5% of 508? | 25.4 | Calculate 5/100 * 508 = 0.05*508 = 25.4. | percentages |
13,057 | percentages | easy | What is 58% of 888? | 515.04 | Calculate 58/100 * 888 = 0.58*888 = 515.04. | percentages |
13,058 | fractions | medium | What is 4/18 * 8/13? Give as simplified fraction. | 16/117 | Multiply numerators: 4*8=32. Denominators: 18*13=234. Simplify by gcd 2 to get 16/117. | fraction_operations |
13,059 | exponents | easy | What is 3^3? | 27 | 3^3 means multiply 3 by itself 3 times: 3*3*3 = 27. | exponents |
13,060 | percentages | easy | What is 98% of 762? | 746.76 | Calculate 98/100 * 762 = 0.98*762 = 746.76. | percentages |
13,061 | geometry | easy | Find the area of a circle with radius 38. Use pi=3.14159, round to 2 decimals. | 4536.46 | Area = pi*r^2 = 3.14159*38^2 = 3.14159*1444 = 4536.46. | circle_area |
13,062 | algebra | medium | Solve for x: x^2 + 9x + 20 = 0 | x = -4, -5 | Factor: (x - -4)(x - -5) = x^2 -(-9)x + 20 = 0. So x = -4 or -5. Check sum = -9, product = 20. | quadratic |
13,063 | number_theory | medium | What is the GCD (greatest common divisor) of 89 and 67? | 1 | Find greatest number dividing both 89 and 67. Divisors common, greatest is 1. | gcd |
13,064 | 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 |
13,065 | roots | easy | What is the square root of 1024? | 32 | Find number that when squared gives 1024. 32*32=1024, so sqrt(1024)=32. | square_roots |
13,066 | arithmetic | easy | What is 940 - 105? | 835 | Subtract: 940 - 105 = 835. | basic_operations |
13,067 | word_problems | easy | If you have 39 books and you buy 50 more books, how many books do you have in total? | 89 | Add initial 39 plus bought 50: 39+50=89. | addition_word |
13,068 | roots | easy | What is the square root of 49? | 7 | Find number that when squared gives 49. 7*7=49, so sqrt(49)=7. | square_roots |
13,069 | exponents | easy | What is 11^3? | 1331 | 11^3 means multiply 11 by itself 3 times: 11*11*11 = 1331. | exponents |
13,070 | 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 |
13,071 | algebra | easy | Solve for x: 16x + 39 = -233 | -17 | Subtract 39 from both sides: 16x = -233-39=-272. Then divide by 16: x = -272/16 = -17. | linear_equation |
13,072 | algebra | easy | Solve for x: 7x - 38 = 25 | 9 | Add 38 to both sides: 7x = 25+38=63. Then x = 63/7 = 9. | linear_equation |
13,073 | geometry | easy | Find the area of a rectangle with length 17 and width 68. | 1156 | Area = length * width = 17*68 = 1156. | rectangle_area |
13,074 | arithmetic | easy | What is 46 + 986? | 1032 | Add the two numbers: 46 + 986 = 1032. | basic_operations |
13,075 | statistics | easy | What is the mean (average) of 30, 38, 36, 27? | 32.75 | Mean = sum/count. Sum = 30+38+36+27=131. Count=4. Mean=131/4=32.75. | mean |
13,076 | fractions | medium | What is 9/15 * 1/7? Give as simplified fraction. | 3/35 | Multiply numerators: 9*1=9. Denominators: 15*7=105. Simplify by gcd 3 to get 3/35. | fraction_operations |
13,077 | calculus | medium | What is the derivative of 4x^3 with respect to x? | 12x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^3] = 4*3*x^2 = 12x^2. | derivative |
13,078 | number_theory | medium | What is the GCD (greatest common divisor) of 51 and 36? | 3 | Find greatest number dividing both 51 and 36. Divisors common, greatest is 3. | gcd |
13,079 | 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 |
13,080 | statistics | easy | What is the mean (average) of 22, 43, 20? | 28.33 | Mean = sum/count. Sum = 22+43+20=85. Count=3. Mean=85/3=28.33. | mean |
13,081 | arithmetic | easy | What is 17760 / 48? | 370 | Divide: 17760 ÷ 48 = 370 because 48*370=17760. | division |
13,082 | geometry | easy | Find the perimeter of a rectangle with length 45 and width 13. | 116 | Perimeter = 2*(length+width) = 2*(45+13) = 2*58 = 116. | rectangle_perim |
13,083 | statistics | easy | What is the mean (average) of 84, 26, 86? | 65.33 | Mean = sum/count. Sum = 84+26+86=196. Count=3. Mean=196/3=65.33. | mean |
13,084 | calculus | medium | What is the derivative of 6x^6 with respect to x? | 36x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^6] = 6*6*x^5 = 36x^5. | derivative |
13,085 | arithmetic | easy | What is 40 * 69? | 2760 | Multiply: 40 * 69 = 2760. | basic_operations |
13,086 | 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 |
13,087 | percentages | easy | What is 43% of 295? | 126.85 | Calculate 43/100 * 295 = 0.43*295 = 126.85. | percentages |
13,088 | statistics | easy | What is the mean (average) of 22, 33, 5? | 20 | Mean = sum/count. Sum = 22+33+5=60. Count=3. Mean=60/3=20.0. | mean |
13,089 | roots | easy | What is the square root of 2209? | 47 | Find number that when squared gives 2209. 47*47=2209, so sqrt(2209)=47. | square_roots |
13,090 | number_theory | medium | What is the LCM (least common multiple) of 31 and 6? | 186 | LCM = |31*6| / GCD(31,6). GCD=1, so LCM=186/1=186. | lcm |
13,091 | arithmetic | easy | What is 3 + 1 * 29? Remember order of operations. | 32 | Order of operations (PEMDAS): first 1*29=29, then 3+29=32. | basic_operations |
13,092 | algebra | easy | Solve for x: 16x - 4 = 316 | 20 | Add 4 to both sides: 16x = 316+4=320. Then x = 320/16 = 20. | linear_equation |
13,093 | algebra | medium | Solve for x: x^2 + 6x + 8 = 0 | x = -4, -2 | Factor: (x - -4)(x - -2) = x^2 -(-6)x + 8 = 0. So x = -4 or -2. Check sum = -6, product = 8. | quadratic |
13,094 | arithmetic | easy | What is 519 - 504? | 15 | Subtract: 519 - 504 = 15. | basic_operations |
13,095 | percentages | easy | What is 29% of 343? | 99.47 | Calculate 29/100 * 343 = 0.29*343 = 99.47. | percentages |
13,096 | number_theory | medium | What is the GCD (greatest common divisor) of 46 and 52? | 2 | Find greatest number dividing both 46 and 52. Divisors common, greatest is 2. | gcd |
13,097 | number_theory | medium | What is the GCD (greatest common divisor) of 76 and 72? | 4 | Find greatest number dividing both 76 and 72. Divisors common, greatest is 4. | gcd |
13,098 | algebra | easy | Solve for x: 18x - 17 = -143 | -7 | Add 17 to both sides: 18x = -143+17=-126. Then x = -126/18 = -7. | linear_equation |
13,099 | word_problems | easy | If you have 43 candies and you buy 34 more candies, how many candies do you have in total? | 77 | Add initial 43 plus bought 34: 43+34=77. | addition_word |
13,100 | arithmetic | easy | What is 47 * 63? | 2961 | Multiply: 47 * 63 = 2961. | basic_operations |
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