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 |
|---|---|---|---|---|---|---|
11,001 | arithmetic | easy | What is 78 * 2? | 156 | Multiply: 78 * 2 = 156. | basic_operations |
11,002 | arithmetic | easy | What is 560 + 124 * 35? Remember order of operations. | 4900 | Order of operations (PEMDAS): first 124*35=4340, then 560+4340=4900. | basic_operations |
11,003 | exponents | easy | What is 2^4? | 16 | 2^4 means multiply 2 by itself 4 times: 2*2*2*2 = 16. | exponents |
11,004 | arithmetic | easy | What is 567 + 859? | 1426 | Add the two numbers: 567 + 859 = 1426. | basic_operations |
11,005 | arithmetic | easy | What is 348 + 386? | 734 | Add the two numbers: 348 + 386 = 734. | basic_operations |
11,006 | 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 |
11,007 | arithmetic | easy | What is 650 + 189? | 839 | Add the two numbers: 650 + 189 = 839. | basic_operations |
11,008 | arithmetic | easy | What is 19440 / 54? | 360 | Divide: 19440 ÷ 54 = 360 because 54*360=19440. | division |
11,009 | 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 |
11,010 | algebra | easy | Solve for x: 3x - 30 = -36 | -2 | Add 30 to both sides: 3x = -36+30=-6. Then x = -6/3 = -2. | linear_equation |
11,011 | 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 |
11,012 | 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 |
11,013 | geometry | easy | Find the perimeter of a rectangle with length 65 and width 15. | 160 | Perimeter = 2*(length+width) = 2*(65+15) = 2*80 = 160. | rectangle_perim |
11,014 | algebra | easy | Solve for x: 12x + 22 = 178 | 13 | Subtract 22 from both sides: 12x = 178-22=156. Then divide by 12: x = 156/12 = 13. | linear_equation |
11,015 | fractions | medium | What is 13/7 - 2/16? Give as simplified fraction. | 97/56 | Common denominator 112. Numerator 208-14=194. So 194/112 simplifies to 97/56. | fraction_operations |
11,016 | geometry | easy | Find the area of a triangle with base 89 and height 93. | 4138.5 | Area = 0.5*base*height = 0.5*89*93 = 4138.5. | triangle_area |
11,017 | 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 |
11,018 | arithmetic | easy | What is 868 + 177? | 1045 | Add the two numbers: 868 + 177 = 1045. | basic_operations |
11,019 | algebra | easy | Solve for x: 1x - 19 = -25 | -6 | Add 19 to both sides: 1x = -25+19=-6. Then x = -6/1 = -6. | linear_equation |
11,020 | arithmetic | easy | What is 56 * 48? | 2688 | Multiply: 56 * 48 = 2688. | basic_operations |
11,021 | number_theory | medium | What is the GCD (greatest common divisor) of 64 and 92? | 4 | Find greatest number dividing both 64 and 92. Divisors common, greatest is 4. | gcd |
11,022 | 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 |
11,023 | number_theory | medium | What is the GCD (greatest common divisor) of 63 and 66? | 3 | Find greatest number dividing both 63 and 66. Divisors common, greatest is 3. | gcd |
11,024 | fractions | medium | What is 1/11 + 19/13? Give as simplified fraction. | 222/143 | Common denominator 11*13=143. 1/11=13/143, 19/13=209/143. Sum = 222/143 = 222/143 simplified. | fraction_operations |
11,025 | exponents | easy | What is 5^5? | 3125 | 5^5 means multiply 5 by itself 5 times: 5*5*5*5*5 = 3125. | exponents |
11,026 | exponents | easy | What is 12^2? | 144 | 12^2 means multiply 12 by itself 2 times: 12*12 = 144. | exponents |
11,027 | calculus | medium | What is the derivative of 6x^4 with respect to x? | 24x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^4] = 6*4*x^3 = 24x^3. | derivative |
11,028 | arithmetic | easy | What is 91 * 73? | 6643 | Multiply: 91 * 73 = 6643. | basic_operations |
11,029 | fractions | medium | What is 5/6 - 8/2? Give as simplified fraction. | -19/6 | Common denominator 12. Numerator 10-48=-38. So -38/12 simplifies to -19/6. | fraction_operations |
11,030 | algebra | easy | Solve for x: 9x + 43 = 178 | 15 | Subtract 43 from both sides: 9x = 178-43=135. Then divide by 9: x = 135/9 = 15. | linear_equation |
11,031 | statistics | easy | What is the mean (average) of 33, 13, 24, 53? | 30.75 | Mean = sum/count. Sum = 33+13+24+53=123. Count=4. Mean=123/4=30.75. | mean |
11,032 | arithmetic | easy | What is 9947 / 29? | 343 | Divide: 9947 ÷ 29 = 343 because 29*343=9947. | division |
11,033 | number_theory | medium | What is the LCM (least common multiple) of 63 and 33? | 693 | LCM = |63*33| / GCD(63,33). GCD=3, so LCM=2079/3=693. | lcm |
11,034 | calculus | medium | What is the derivative of 9x^2 with respect to x? | 18x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^2] = 9*2*x^1 = 18x. | derivative |
11,035 | arithmetic | easy | What is 705 + 331? | 1036 | Add the two numbers: 705 + 331 = 1036. | basic_operations |
11,036 | exponents | easy | What is 2^3? | 8 | 2^3 means multiply 2 by itself 3 times: 2*2*2 = 8. | exponents |
11,037 | number_theory | medium | What is the LCM (least common multiple) of 35 and 82? | 2870 | LCM = |35*82| / GCD(35,82). GCD=1, so LCM=2870/1=2870. | lcm |
11,038 | algebra | easy | Solve for x: 16x + 15 = 223 | 13 | Subtract 15 from both sides: 16x = 223-15=208. Then divide by 16: x = 208/16 = 13. | linear_equation |
11,039 | number_theory | medium | What is the GCD (greatest common divisor) of 73 and 70? | 1 | Find greatest number dividing both 73 and 70. Divisors common, greatest is 1. | gcd |
11,040 | algebra | medium | Solve for x: x^2 + 7x - 30 = 0 | x = -10, 3 | Factor: (x - -10)(x - 3) = x^2 -(-7)x + -30 = 0. So x = -10 or 3. Check sum = -7, product = -30. | quadratic |
11,041 | 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 |
11,042 | fractions | medium | What is 6/13 + 20/15? Give as simplified fraction. | 70/39 | Common denominator 13*15=195. 6/13=90/195, 20/15=260/195. Sum = 350/195 = 70/39 simplified. | fraction_operations |
11,043 | word_problems | easy | If you have 60 books and you buy 45 more books, how many books do you have in total? | 105 | Add initial 60 plus bought 45: 60+45=105. | addition_word |
11,044 | algebra | easy | Solve for x: 8x + 3 = 115 | 14 | Subtract 3 from both sides: 8x = 115-3=112. Then divide by 8: x = 112/8 = 14. | linear_equation |
11,045 | percentages | easy | What is 11% of 826? | 90.86 | Calculate 11/100 * 826 = 0.11*826 = 90.86. | percentages |
11,046 | algebra | medium | Solve for x: x^2 - 5x = 0 | x = 5, 0 | Factor: (x - 5)(x - 0) = x^2 -(5)x + 0 = 0. So x = 5 or 0. Check sum = 5, product = 0. | quadratic |
11,047 | percentages | easy | What is 33% of 126? | 41.58 | Calculate 33/100 * 126 = 0.33*126 = 41.58. | percentages |
11,048 | fractions | medium | What is 20/13 * 11/17? Give as simplified fraction. | 220/221 | Multiply numerators: 20*11=220. Denominators: 13*17=221. Simplify by gcd 1 to get 220/221. | fraction_operations |
11,049 | arithmetic | easy | What is 3 * 12? | 36 | Multiply: 3 * 12 = 36. | basic_operations |
11,050 | statistics | easy | What is the mean (average) of 87, 4, 54? | 48.33 | Mean = sum/count. Sum = 87+4+54=145. Count=3. Mean=145/3=48.33. | mean |
11,051 | algebra | easy | Solve for x: 19x - 13 = 44 | 3 | Add 13 to both sides: 19x = 44+13=57. Then x = 57/19 = 3. | linear_equation |
11,052 | arithmetic | easy | What is 98 + 74 * 50? Remember order of operations. | 3798 | Order of operations (PEMDAS): first 74*50=3700, then 98+3700=3798. | basic_operations |
11,053 | word_problems | easy | If you have 33 dollars and you buy 50 more dollars, how many dollars do you have in total? | 83 | Add initial 33 plus bought 50: 33+50=83. | addition_word |
11,054 | fractions | medium | What is 9/5 * 10/9? Give as simplified fraction. | 2 | Multiply numerators: 9*10=90. Denominators: 5*9=45. Simplify by gcd 45 to get 2. | fraction_operations |
11,055 | arithmetic | easy | What is 32 + 761? | 793 | Add the two numbers: 32 + 761 = 793. | basic_operations |
11,056 | arithmetic | easy | What is 15304 divided by 69? Give answer to 2 decimal places. | 221.8 | Calculate 15304/ 69 = 221.7971, rounded to 2 decimals is 221.8. | division |
11,057 | arithmetic | easy | What is 63 + 96 * 55? Remember order of operations. | 5343 | Order of operations (PEMDAS): first 96*55=5280, then 63+5280=5343. | basic_operations |
11,058 | statistics | easy | What is the mean (average) of 82, 18, 97, 7, 92? | 59.2 | Mean = sum/count. Sum = 82+18+97+7+92=296. Count=5. Mean=296/5=59.2. | mean |
11,059 | arithmetic | easy | What is 4068 / 12? | 339 | Divide: 4068 ÷ 12 = 339 because 12*339=4068. | division |
11,060 | arithmetic | easy | What is 565 + 236 * 66? Remember order of operations. | 16141 | Order of operations (PEMDAS): first 236*66=15576, then 565+15576=16141. | basic_operations |
11,061 | word_problems | easy | If you have 76 candies and you buy 12 more candies, how many candies do you have in total? | 88 | Add initial 76 plus bought 12: 76+12=88. | addition_word |
11,062 | arithmetic | easy | What is 58 * 61? | 3538 | Multiply: 58 * 61 = 3538. | basic_operations |
11,063 | number_theory | medium | What is the GCD (greatest common divisor) of 83 and 29? | 1 | Find greatest number dividing both 83 and 29. Divisors common, greatest is 1. | gcd |
11,064 | exponents | easy | What is 4^3? | 64 | 4^3 means multiply 4 by itself 3 times: 4*4*4 = 64. | exponents |
11,065 | roots | easy | What is the square root of 196? | 14 | Find number that when squared gives 196. 14*14=196, so sqrt(196)=14. | square_roots |
11,066 | percentages | easy | What is 79% of 133? | 105.07 | Calculate 79/100 * 133 = 0.79*133 = 105.07. | percentages |
11,067 | algebra | easy | Solve for x: 9x - 34 = -7 | 3 | Add 34 to both sides: 9x = -7+34=27. Then x = 27/9 = 3. | linear_equation |
11,068 | statistics | easy | What is the mean (average) of 58, 99, 24, 59? | 60 | Mean = sum/count. Sum = 58+99+24+59=240. Count=4. Mean=240/4=60.0. | mean |
11,069 | word_problems | easy | If you have 37 candies and you buy 24 more candies, how many candies do you have in total? | 61 | Add initial 37 plus bought 24: 37+24=61. | addition_word |
11,070 | 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 |
11,071 | algebra | medium | Solve for x: x^2 + 1x - 42 = 0 | x = -7, 6 | Factor: (x - -7)(x - 6) = x^2 -(-1)x + -42 = 0. So x = -7 or 6. Check sum = -1, product = -42. | quadratic |
11,072 | number_theory | medium | What is the GCD (greatest common divisor) of 24 and 12? | 12 | Find greatest number dividing both 24 and 12. Divisors common, greatest is 12. | gcd |
11,073 | exponents | easy | What is 10^4? | 10000 | 10^4 means multiply 10 by itself 4 times: 10*10*10*10 = 10000. | exponents |
11,074 | 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 |
11,075 | percentages | easy | What is 92% of 388? | 356.96 | Calculate 92/100 * 388 = 0.92*388 = 356.96. | percentages |
11,076 | fractions | medium | What is 17/9 * 19/14? Give as simplified fraction. | 323/126 | Multiply numerators: 17*19=323. Denominators: 9*14=126. Simplify by gcd 1 to get 323/126. | fraction_operations |
11,077 | statistics | easy | What is the mean (average) of 65, 39, 23, 3, 98? | 45.6 | Mean = sum/count. Sum = 65+39+23+3+98=228. Count=5. Mean=228/5=45.6. | mean |
11,078 | exponents | easy | What is 9^4? | 6561 | 9^4 means multiply 9 by itself 4 times: 9*9*9*9 = 6561. | exponents |
11,079 | percentages | easy | What is 48% of 680? | 326.4 | Calculate 48/100 * 680 = 0.48*680 = 326.4. | percentages |
11,080 | exponents | easy | What is 9^5? | 59049 | 9^5 means multiply 9 by itself 5 times: 9*9*9*9*9 = 59049. | exponents |
11,081 | arithmetic | easy | What is 93 * 32? | 2976 | Multiply: 93 * 32 = 2976. | basic_operations |
11,082 | algebra | medium | Solve for x: x^2 - 6x = 0 | x = 6, 0 | Factor: (x - 6)(x - 0) = x^2 -(6)x + 0 = 0. So x = 6 or 0. Check sum = 6, product = 0. | quadratic |
11,083 | percentages | easy | What is 17% of 661? | 112.37 | Calculate 17/100 * 661 = 0.17*661 = 112.37. | percentages |
11,084 | arithmetic | easy | What is 997 - 154? | 843 | Subtract: 997 - 154 = 843. | basic_operations |
11,085 | 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 |
11,086 | statistics | easy | What is the mean (average) of 38, 53, 96, 57, 83? | 65.4 | Mean = sum/count. Sum = 38+53+96+57+83=327. Count=5. Mean=327/5=65.4. | mean |
11,087 | word_problems | easy | If you have 72 apples and you buy 43 more apples, how many apples do you have in total? | 115 | Add initial 72 plus bought 43: 72+43=115. | addition_word |
11,088 | 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 |
11,089 | 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 |
11,090 | arithmetic | easy | What is 895 - 231? | 664 | Subtract: 895 - 231 = 664. | basic_operations |
11,091 | exponents | easy | What is 12^4? | 20736 | 12^4 means multiply 12 by itself 4 times: 12*12*12*12 = 20736. | exponents |
11,092 | algebra | easy | Solve for x: 3x - 36 = 9 | 15 | Add 36 to both sides: 3x = 9+36=45. Then x = 45/3 = 15. | linear_equation |
11,093 | 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 |
11,094 | word_problems | easy | If you have 27 dollars and you buy 15 more dollars, how many dollars do you have in total? | 42 | Add initial 27 plus bought 15: 27+15=42. | addition_word |
11,095 | arithmetic | easy | What is 634 + 90 * 36? Remember order of operations. | 3874 | Order of operations (PEMDAS): first 90*36=3240, then 634+3240=3874. | basic_operations |
11,096 | statistics | easy | What is the mean (average) of 55, 18, 52, 87, 26? | 47.6 | Mean = sum/count. Sum = 55+18+52+87+26=238. Count=5. Mean=238/5=47.6. | mean |
11,097 | 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 |
11,098 | exponents | easy | What is 11^5? | 161051 | 11^5 means multiply 11 by itself 5 times: 11*11*11*11*11 = 161051. | exponents |
11,099 | word_problems | easy | If you have 77 candies and you buy 6 more candies, how many candies do you have in total? | 83 | Add initial 77 plus bought 6: 77+6=83. | addition_word |
11,100 | algebra | easy | Solve for x: 5x - 48 = -138 | -18 | Add 48 to both sides: 5x = -138+48=-90. Then x = -90/5 = -18. | linear_equation |
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