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 |
|---|---|---|---|---|---|---|
12,001 | arithmetic | easy | What is 34 * 33? | 1122 | Multiply: 34 * 33 = 1122. | basic_operations |
12,002 | word_problems | easy | If you have 75 apples and you buy 37 more apples, how many apples do you have in total? | 112 | Add initial 75 plus bought 37: 75+37=112. | addition_word |
12,003 | geometry | easy | Find the area of a triangle with base 32 and height 25. | 400 | Area = 0.5*base*height = 0.5*32*25 = 400. | triangle_area |
12,004 | geometry | easy | Find the circumference of a circle with radius 21. Use pi=3.14159, round to 2 decimals. | 131.95 | Circumference = 2*pi*r = 2*3.14159*21 = 131.95. | circle_circum |
12,005 | calculus | medium | What is the derivative of 8x^7 with respect to x? | 56x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^7] = 8*7*x^6 = 56x^6. | derivative |
12,006 | algebra | easy | Solve for x: 13x - 43 = -160 | -9 | Add 43 to both sides: 13x = -160+43=-117. Then x = -117/13 = -9. | linear_equation |
12,007 | arithmetic | easy | What is 1044 / 29? | 36 | Divide: 1044 ÷ 29 = 36 because 29*36=1044. | division |
12,008 | 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 |
12,009 | 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 |
12,010 | 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 |
12,011 | arithmetic | easy | What is 74 * 61? | 4514 | Multiply: 74 * 61 = 4514. | basic_operations |
12,012 | exponents | easy | What is 5^2? | 25 | 5^2 means multiply 5 by itself 2 times: 5*5 = 25. | exponents |
12,013 | statistics | easy | What is the mean (average) of 72, 2, 90, 28, 57? | 49.8 | Mean = sum/count. Sum = 72+2+90+28+57=249. Count=5. Mean=249/5=49.8. | mean |
12,014 | algebra | medium | Solve for x: x^2 - 10x = 0 | x = 10, 0 | Factor: (x - 10)(x - 0) = x^2 -(10)x + 0 = 0. So x = 10 or 0. Check sum = 10, product = 0. | quadratic |
12,015 | percentages | easy | What is 57% of 110? | 62.7 | Calculate 57/100 * 110 = 0.57*110 = 62.7. | percentages |
12,016 | algebra | easy | Solve for x: 14x + 44 = 226 | 13 | Subtract 44 from both sides: 14x = 226-44=182. Then divide by 14: x = 182/14 = 13. | linear_equation |
12,017 | statistics | easy | What is the mean (average) of 37, 11, 43? | 30.33 | Mean = sum/count. Sum = 37+11+43=91. Count=3. Mean=91/3=30.33. | mean |
12,018 | 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 |
12,019 | arithmetic | easy | What is 10392 divided by 32? Give answer to 2 decimal places. | 324.75 | Calculate 10392/ 32 = 324.7500, rounded to 2 decimals is 324.75. | division |
12,020 | fractions | medium | What is 3/11 - 6/5? Give as simplified fraction. | -51/55 | Common denominator 55. Numerator 15-66=-51. So -51/55 simplifies to -51/55. | fraction_operations |
12,021 | 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 |
12,022 | algebra | easy | Solve for x: 9x + 11 = 173 | 18 | Subtract 11 from both sides: 9x = 173-11=162. Then divide by 9: x = 162/9 = 18. | linear_equation |
12,023 | 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 |
12,024 | fractions | medium | What is 4/17 - 18/7? Give as simplified fraction. | -278/119 | Common denominator 119. Numerator 28-306=-278. So -278/119 simplifies to -278/119. | fraction_operations |
12,025 | percentages | easy | What is 93% of 827? | 769.11 | Calculate 93/100 * 827 = 0.93*827 = 769.11. | percentages |
12,026 | arithmetic | easy | What is 665 - 361? | 304 | Subtract: 665 - 361 = 304. | basic_operations |
12,027 | algebra | easy | Solve for x: 2x + 17 = 15 | -1 | Subtract 17 from both sides: 2x = 15-17=-2. Then divide by 2: x = -2/2 = -1. | linear_equation |
12,028 | arithmetic | easy | What is 36 * 92? | 3312 | Multiply: 36 * 92 = 3312. | basic_operations |
12,029 | geometry | easy | Find the area of a rectangle with length 98 and width 15. | 1470 | Area = length * width = 98*15 = 1470. | rectangle_area |
12,030 | roots | easy | What is the square root of 841? | 29 | Find number that when squared gives 841. 29*29=841, so sqrt(841)=29. | square_roots |
12,031 | word_problems | easy | If you have 42 candies and you buy 27 more candies, how many candies do you have in total? | 69 | Add initial 42 plus bought 27: 42+27=69. | addition_word |
12,032 | algebra | easy | Solve for x: 4x + 26 = 102 | 19 | Subtract 26 from both sides: 4x = 102-26=76. Then divide by 4: x = 76/4 = 19. | linear_equation |
12,033 | statistics | easy | What is the mean (average) of 85, 41, 55, 44, 81? | 61.2 | Mean = sum/count. Sum = 85+41+55+44+81=306. Count=5. Mean=306/5=61.2. | mean |
12,034 | algebra | easy | Solve for x: 11x - 7 = -18 | -1 | Add 7 to both sides: 11x = -18+7=-11. Then x = -11/11 = -1. | linear_equation |
12,035 | algebra | easy | Solve for x: 9x - 8 = 127 | 15 | Add 8 to both sides: 9x = 127+8=135. Then x = 135/9 = 15. | linear_equation |
12,036 | 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 |
12,037 | word_problems | easy | If you have 27 books and you buy 40 more books, how many books do you have in total? | 67 | Add initial 27 plus bought 40: 27+40=67. | addition_word |
12,038 | arithmetic | easy | What is 54 * 61? | 3294 | Multiply: 54 * 61 = 3294. | basic_operations |
12,039 | arithmetic | easy | What is 444 + 683? | 1127 | Add the two numbers: 444 + 683 = 1127. | basic_operations |
12,040 | geometry | easy | Find the area of a rectangle with length 30 and width 67. | 2010 | Area = length * width = 30*67 = 2010. | rectangle_area |
12,041 | algebra | medium | Solve for x: x^2 - 1x - 12 = 0 | x = 4, -3 | Factor: (x - 4)(x - -3) = x^2 -(1)x + -12 = 0. So x = 4 or -3. Check sum = 1, product = -12. | quadratic |
12,042 | 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 |
12,043 | fractions | medium | What is 8/6 * 7/19? Give as simplified fraction. | 28/57 | Multiply numerators: 8*7=56. Denominators: 6*19=114. Simplify by gcd 2 to get 28/57. | fraction_operations |
12,044 | calculus | medium | What is the derivative of 3x^3 with respect to x? | 9x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^3] = 3*3*x^2 = 9x^2. | derivative |
12,045 | number_theory | medium | What is the LCM (least common multiple) of 83 and 33? | 2739 | LCM = |83*33| / GCD(83,33). GCD=1, so LCM=2739/1=2739. | lcm |
12,046 | 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 |
12,047 | 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 |
12,048 | arithmetic | easy | What is 233 - 62? | 171 | Subtract: 233 - 62 = 171. | basic_operations |
12,049 | geometry | easy | Find the area of a triangle with base 7 and height 72. | 252 | Area = 0.5*base*height = 0.5*7*72 = 252. | triangle_area |
12,050 | exponents | easy | What is 5^5? | 3125 | 5^5 means multiply 5 by itself 5 times: 5*5*5*5*5 = 3125. | exponents |
12,051 | arithmetic | easy | What is 21 + 53 * 99? Remember order of operations. | 5268 | Order of operations (PEMDAS): first 53*99=5247, then 21+5247=5268. | basic_operations |
12,052 | percentages | easy | What is 81% of 375? | 303.75 | Calculate 81/100 * 375 = 0.81*375 = 303.75. | percentages |
12,053 | arithmetic | easy | What is 664 + 409? | 1073 | Add the two numbers: 664 + 409 = 1073. | basic_operations |
12,054 | algebra | easy | Solve for x: 14x + 2 = -26 | -2 | Subtract 2 from both sides: 14x = -26-2=-28. Then divide by 14: x = -28/14 = -2. | linear_equation |
12,055 | 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 |
12,056 | 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 |
12,057 | exponents | easy | What is 11^2? | 121 | 11^2 means multiply 11 by itself 2 times: 11*11 = 121. | exponents |
12,058 | arithmetic | easy | What is 7 + 49? | 56 | Add the two numbers: 7 + 49 = 56. | basic_operations |
12,059 | number_theory | medium | What is the LCM (least common multiple) of 86 and 76? | 3268 | LCM = |86*76| / GCD(86,76). GCD=2, so LCM=6536/2=3268. | lcm |
12,060 | exponents | easy | What is 7^4? | 2401 | 7^4 means multiply 7 by itself 4 times: 7*7*7*7 = 2401. | exponents |
12,061 | percentages | easy | What is 5% of 56? | 2.8 | Calculate 5/100 * 56 = 0.05*56 = 2.8. | percentages |
12,062 | arithmetic | easy | What is 28148 / 62? | 454 | Divide: 28148 ÷ 62 = 454 because 62*454=28148. | division |
12,063 | calculus | medium | What is the derivative of 8x^3 with respect to x? | 24x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^3] = 8*3*x^2 = 24x^2. | derivative |
12,064 | exponents | easy | What is 12^3? | 1728 | 12^3 means multiply 12 by itself 3 times: 12*12*12 = 1728. | exponents |
12,065 | arithmetic | easy | What is 934 + 663? | 1597 | Add the two numbers: 934 + 663 = 1597. | basic_operations |
12,066 | algebra | easy | Solve for x: 11x + 35 = 200 | 15 | Subtract 35 from both sides: 11x = 200-35=165. Then divide by 11: x = 165/11 = 15. | linear_equation |
12,067 | word_problems | easy | If you have 92 apples and you buy 13 more apples, how many apples do you have in total? | 105 | Add initial 92 plus bought 13: 92+13=105. | addition_word |
12,068 | statistics | easy | What is the mean (average) of 21, 14, 53? | 29.33 | Mean = sum/count. Sum = 21+14+53=88. Count=3. Mean=88/3=29.33. | mean |
12,069 | calculus | medium | What is the derivative of 7x^4 with respect to x? | 28x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^4] = 7*4*x^3 = 28x^3. | derivative |
12,070 | arithmetic | easy | What is 2688 / 7? | 384 | Divide: 2688 ÷ 7 = 384 because 7*384=2688. | division |
12,071 | calculus | medium | What is the derivative of 2x^8 with respect to x? | 16x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^8] = 2*8*x^7 = 16x^7. | derivative |
12,072 | arithmetic | easy | What is 3120 / 65? | 48 | Divide: 3120 ÷ 65 = 48 because 65*48=3120. | division |
12,073 | arithmetic | easy | What is 655 + 151? | 806 | Add the two numbers: 655 + 151 = 806. | basic_operations |
12,074 | 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 |
12,075 | algebra | medium | Solve for x: x^2 + 2x - 24 = 0 | x = -6, 4 | Factor: (x - -6)(x - 4) = x^2 -(-2)x + -24 = 0. So x = -6 or 4. Check sum = -2, product = -24. | quadratic |
12,076 | 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 |
12,077 | geometry | easy | Find the perimeter of a rectangle with length 40 and width 74. | 228 | Perimeter = 2*(length+width) = 2*(40+74) = 2*114 = 228. | rectangle_perim |
12,078 | exponents | easy | What is 12^5? | 248832 | 12^5 means multiply 12 by itself 5 times: 12*12*12*12*12 = 248832. | exponents |
12,079 | roots | easy | What is the square root of 81? | 9 | Find number that when squared gives 81. 9*9=81, so sqrt(81)=9. | square_roots |
12,080 | 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 |
12,081 | number_theory | medium | What is the GCD (greatest common divisor) of 8 and 41? | 1 | Find greatest number dividing both 8 and 41. Divisors common, greatest is 1. | gcd |
12,082 | exponents | easy | What is 9^5? | 59049 | 9^5 means multiply 9 by itself 5 times: 9*9*9*9*9 = 59049. | exponents |
12,083 | geometry | easy | Find the area of a rectangle with length 11 and width 53. | 583 | Area = length * width = 11*53 = 583. | rectangle_area |
12,084 | arithmetic | easy | What is 74 + 46 * 48? Remember order of operations. | 2282 | Order of operations (PEMDAS): first 46*48=2208, then 74+2208=2282. | basic_operations |
12,085 | statistics | easy | What is the mean (average) of 46, 77, 82, 72? | 69.25 | Mean = sum/count. Sum = 46+77+82+72=277. Count=4. Mean=277/4=69.25. | mean |
12,086 | statistics | easy | What is the mean (average) of 73, 95, 24, 8? | 50 | Mean = sum/count. Sum = 73+95+24+8=200. Count=4. Mean=200/4=50.0. | mean |
12,087 | geometry | easy | Find the area of a rectangle with length 87 and width 45. | 3915 | Area = length * width = 87*45 = 3915. | rectangle_area |
12,088 | 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 |
12,089 | algebra | medium | Solve for x: x^2 + 12x + 27 = 0 | x = -3, -9 | Factor: (x - -3)(x - -9) = x^2 -(-12)x + 27 = 0. So x = -3 or -9. Check sum = -12, product = 27. | quadratic |
12,090 | arithmetic | easy | What is 25069 / 53? | 473 | Divide: 25069 ÷ 53 = 473 because 53*473=25069. | division |
12,091 | arithmetic | easy | What is 18 * 78? | 1404 | Multiply: 18 * 78 = 1404. | basic_operations |
12,092 | word_problems | easy | If you have 95 dollars and you buy 18 more dollars, how many dollars do you have in total? | 113 | Add initial 95 plus bought 18: 95+18=113. | addition_word |
12,093 | exponents | easy | What is 5^3? | 125 | 5^3 means multiply 5 by itself 3 times: 5*5*5 = 125. | exponents |
12,094 | algebra | easy | Solve for x: 19x + 39 = 20 | -1 | Subtract 39 from both sides: 19x = 20-39=-19. Then divide by 19: x = -19/19 = -1. | linear_equation |
12,095 | number_theory | medium | What is the LCM (least common multiple) of 87 and 59? | 5133 | LCM = |87*59| / GCD(87,59). GCD=1, so LCM=5133/1=5133. | lcm |
12,096 | statistics | easy | What is the mean (average) of 83, 94, 37, 91, 7? | 62.4 | Mean = sum/count. Sum = 83+94+37+91+7=312. Count=5. Mean=312/5=62.4. | mean |
12,097 | exponents | easy | What is 9^5? | 59049 | 9^5 means multiply 9 by itself 5 times: 9*9*9*9*9 = 59049. | exponents |
12,098 | algebra | easy | Solve for x: 9x + 31 = 211 | 20 | Subtract 31 from both sides: 9x = 211-31=180. Then divide by 9: x = 180/9 = 20. | linear_equation |
12,099 | calculus | medium | What is the derivative of 5x^7 with respect to x? | 35x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^7] = 5*7*x^6 = 35x^6. | derivative |
12,100 | statistics | easy | What is the mean (average) of 95, 66, 28? | 63 | Mean = sum/count. Sum = 95+66+28=189. Count=3. Mean=189/3=63.0. | mean |
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