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 |
|---|---|---|---|---|---|---|
7,101 | word_problems | easy | If you have 6 books and you buy 26 more books, how many books do you have in total? | 32 | Add initial 6 plus bought 26: 6+26=32. | addition_word |
7,102 | 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 |
7,103 | percentages | easy | What is 86% of 144? | 123.84 | Calculate 86/100 * 144 = 0.86*144 = 123.84. | percentages |
7,104 | 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 |
7,105 | arithmetic | easy | What is 116 + 69 * 18? Remember order of operations. | 1358 | Order of operations (PEMDAS): first 69*18=1242, then 116+1242=1358. | basic_operations |
7,106 | arithmetic | easy | What is 67 * 38? | 2546 | Multiply: 67 * 38 = 2546. | basic_operations |
7,107 | geometry | easy | Find the perimeter of a rectangle with length 50 and width 33. | 166 | Perimeter = 2*(length+width) = 2*(50+33) = 2*83 = 166. | rectangle_perim |
7,108 | fractions | medium | What is 7/8 * 14/16? Give as simplified fraction. | 49/64 | Multiply numerators: 7*14=98. Denominators: 8*16=128. Simplify by gcd 2 to get 49/64. | fraction_operations |
7,109 | 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 |
7,110 | algebra | medium | Solve for x: x^2 - 16x + 63 = 0 | x = 7, 9 | Factor: (x - 7)(x - 9) = x^2 -(16)x + 63 = 0. So x = 7 or 9. Check sum = 16, product = 63. | quadratic |
7,111 | calculus | medium | What is the derivative of 2x^5 with respect to x? | 10x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^5] = 2*5*x^4 = 10x^4. | derivative |
7,112 | fractions | medium | What is 13/2 * 11/10? Give as simplified fraction. | 143/20 | Multiply numerators: 13*11=143. Denominators: 2*10=20. Simplify by gcd 1 to get 143/20. | fraction_operations |
7,113 | exponents | easy | What is 8^3? | 512 | 8^3 means multiply 8 by itself 3 times: 8*8*8 = 512. | exponents |
7,114 | arithmetic | easy | What is 576 - 380? | 196 | Subtract: 576 - 380 = 196. | basic_operations |
7,115 | arithmetic | easy | What is 117 + 888 * 25? Remember order of operations. | 22317 | Order of operations (PEMDAS): first 888*25=22200, then 117+22200=22317. | basic_operations |
7,116 | number_theory | medium | What is the GCD (greatest common divisor) of 98 and 12? | 2 | Find greatest number dividing both 98 and 12. Divisors common, greatest is 2. | gcd |
7,117 | number_theory | medium | What is the GCD (greatest common divisor) of 7 and 84? | 7 | Find greatest number dividing both 7 and 84. Divisors common, greatest is 7. | gcd |
7,118 | arithmetic | easy | What is 921 - 111? | 810 | Subtract: 921 - 111 = 810. | basic_operations |
7,119 | statistics | easy | What is the mean (average) of 68, 92, 89, 91? | 85 | Mean = sum/count. Sum = 68+92+89+91=340. Count=4. Mean=340/4=85.0. | mean |
7,120 | arithmetic | easy | What is 554 + 899? | 1453 | Add the two numbers: 554 + 899 = 1453. | basic_operations |
7,121 | arithmetic | easy | What is 293 + 262 * 82? Remember order of operations. | 21777 | Order of operations (PEMDAS): first 262*82=21484, then 293+21484=21777. | basic_operations |
7,122 | arithmetic | easy | What is 279 - 248? | 31 | Subtract: 279 - 248 = 31. | basic_operations |
7,123 | roots | easy | What is the square root of 25? | 5 | Find number that when squared gives 25. 5*5=25, so sqrt(25)=5. | square_roots |
7,124 | fractions | medium | What is 11/8 - 17/5? Give as simplified fraction. | -81/40 | Common denominator 40. Numerator 55-136=-81. So -81/40 simplifies to -81/40. | fraction_operations |
7,125 | fractions | medium | What is 16/11 - 15/12? Give as simplified fraction. | 9/44 | Common denominator 132. Numerator 192-165=27. So 27/132 simplifies to 9/44. | fraction_operations |
7,126 | arithmetic | easy | What is 2 * 14? | 28 | Multiply: 2 * 14 = 28. | basic_operations |
7,127 | 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 |
7,128 | exponents | easy | What is 9^2? | 81 | 9^2 means multiply 9 by itself 2 times: 9*9 = 81. | exponents |
7,129 | statistics | easy | What is the mean (average) of 71, 34, 5, 12? | 30.5 | Mean = sum/count. Sum = 71+34+5+12=122. Count=4. Mean=122/4=30.5. | mean |
7,130 | arithmetic | easy | What is 14 * 52? | 728 | Multiply: 14 * 52 = 728. | basic_operations |
7,131 | fractions | medium | What is 16/5 + 14/4? Give as simplified fraction. | 67/10 | Common denominator 5*4=20. 16/5=64/20, 14/4=70/20. Sum = 134/20 = 67/10 simplified. | fraction_operations |
7,132 | number_theory | medium | What is the LCM (least common multiple) of 67 and 50? | 3350 | LCM = |67*50| / GCD(67,50). GCD=1, so LCM=3350/1=3350. | lcm |
7,133 | 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 |
7,134 | arithmetic | easy | What is 585 - 583? | 2 | Subtract: 585 - 583 = 2. | basic_operations |
7,135 | fractions | medium | What is 7/7 - 14/4? Give as simplified fraction. | -5/2 | Common denominator 28. Numerator 28-98=-70. So -70/28 simplifies to -5/2. | fraction_operations |
7,136 | arithmetic | easy | What is 737 - 329? | 408 | Subtract: 737 - 329 = 408. | basic_operations |
7,137 | fractions | medium | What is 12/8 * 9/13? Give as simplified fraction. | 27/26 | Multiply numerators: 12*9=108. Denominators: 8*13=104. Simplify by gcd 4 to get 27/26. | fraction_operations |
7,138 | arithmetic | easy | What is 603 - 357? | 246 | Subtract: 603 - 357 = 246. | basic_operations |
7,139 | algebra | easy | Solve for x: 18x - 3 = -93 | -5 | Add 3 to both sides: 18x = -93+3=-90. Then x = -90/18 = -5. | linear_equation |
7,140 | number_theory | medium | What is the GCD (greatest common divisor) of 31 and 32? | 1 | Find greatest number dividing both 31 and 32. Divisors common, greatest is 1. | gcd |
7,141 | exponents | easy | What is 4^5? | 1024 | 4^5 means multiply 4 by itself 5 times: 4*4*4*4*4 = 1024. | exponents |
7,142 | 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 |
7,143 | arithmetic | easy | What is 28354 divided by 61? Give answer to 2 decimal places. | 464.82 | Calculate 28354/ 61 = 464.8197, rounded to 2 decimals is 464.82. | division |
7,144 | 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 |
7,145 | arithmetic | easy | What is 35 * 55? | 1925 | Multiply: 35 * 55 = 1925. | basic_operations |
7,146 | statistics | easy | What is the mean (average) of 27, 1, 100, 26, 1? | 31 | Mean = sum/count. Sum = 27+1+100+26+1=155. Count=5. Mean=155/5=31.0. | mean |
7,147 | algebra | easy | Solve for x: 17x - 7 = -126 | -7 | Add 7 to both sides: 17x = -126+7=-119. Then x = -119/17 = -7. | linear_equation |
7,148 | algebra | medium | Solve for x: x^2 + 1x - 20 = 0 | x = 4, -5 | Factor: (x - 4)(x - -5) = x^2 -(-1)x + -20 = 0. So x = 4 or -5. Check sum = -1, product = -20. | quadratic |
7,149 | statistics | easy | What is the mean (average) of 56, 76, 72, 83? | 71.75 | Mean = sum/count. Sum = 56+76+72+83=287. Count=4. Mean=287/4=71.75. | mean |
7,150 | percentages | easy | What is 33% of 325? | 107.25 | Calculate 33/100 * 325 = 0.33*325 = 107.25. | percentages |
7,151 | arithmetic | easy | What is 8 * 22? | 176 | Multiply: 8 * 22 = 176. | basic_operations |
7,152 | number_theory | medium | What is the GCD (greatest common divisor) of 39 and 55? | 1 | Find greatest number dividing both 39 and 55. Divisors common, greatest is 1. | gcd |
7,153 | percentages | easy | What is 1% of 824? | 8.24 | Calculate 1/100 * 824 = 0.01*824 = 8.24. | percentages |
7,154 | word_problems | easy | If you have 29 pencils and you buy 1 more pencils, how many pencils do you have in total? | 30 | Add initial 29 plus bought 1: 29+1=30. | addition_word |
7,155 | statistics | easy | What is the mean (average) of 93, 2, 82? | 59 | Mean = sum/count. Sum = 93+2+82=177. Count=3. Mean=177/3=59.0. | mean |
7,156 | word_problems | easy | If you have 33 books and you buy 36 more books, how many books do you have in total? | 69 | Add initial 33 plus bought 36: 33+36=69. | addition_word |
7,157 | statistics | easy | What is the mean (average) of 61, 59, 96, 97? | 78.25 | Mean = sum/count. Sum = 61+59+96+97=313. Count=4. Mean=313/4=78.25. | mean |
7,158 | arithmetic | easy | What is 7650 / 17? | 450 | Divide: 7650 ÷ 17 = 450 because 17*450=7650. | division |
7,159 | 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 |
7,160 | statistics | easy | What is the mean (average) of 65, 50, 26, 1, 100? | 48.4 | Mean = sum/count. Sum = 65+50+26+1+100=242. Count=5. Mean=242/5=48.4. | mean |
7,161 | arithmetic | easy | What is 9 + 454 * 11? Remember order of operations. | 5003 | Order of operations (PEMDAS): first 454*11=4994, then 9+4994=5003. | basic_operations |
7,162 | algebra | easy | Solve for x: 9x - 32 = -104 | -8 | Add 32 to both sides: 9x = -104+32=-72. Then x = -72/9 = -8. | linear_equation |
7,163 | exponents | easy | What is 12^4? | 20736 | 12^4 means multiply 12 by itself 4 times: 12*12*12*12 = 20736. | exponents |
7,164 | statistics | easy | What is the mean (average) of 87, 7, 45? | 46.33 | Mean = sum/count. Sum = 87+7+45=139. Count=3. Mean=139/3=46.33. | mean |
7,165 | statistics | easy | What is the mean (average) of 85, 58, 61, 13, 97? | 62.8 | Mean = sum/count. Sum = 85+58+61+13+97=314. Count=5. Mean=314/5=62.8. | mean |
7,166 | 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 |
7,167 | statistics | easy | What is the mean (average) of 49, 47, 91? | 62.33 | Mean = sum/count. Sum = 49+47+91=187. Count=3. Mean=187/3=62.33. | mean |
7,168 | 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 |
7,169 | calculus | medium | What is the derivative of 8x^5 with respect to x? | 40x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^5] = 8*5*x^4 = 40x^4. | derivative |
7,170 | 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 |
7,171 | arithmetic | easy | What is 49 * 68? | 3332 | Multiply: 49 * 68 = 3332. | basic_operations |
7,172 | fractions | medium | What is 10/10 * 1/2? Give as simplified fraction. | 1/2 | Multiply numerators: 10*1=10. Denominators: 10*2=20. Simplify by gcd 10 to get 1/2. | fraction_operations |
7,173 | number_theory | medium | What is the LCM (least common multiple) of 20 and 21? | 420 | LCM = |20*21| / GCD(20,21). GCD=1, so LCM=420/1=420. | lcm |
7,174 | algebra | easy | Solve for x: 13x + 37 = 76 | 3 | Subtract 37 from both sides: 13x = 76-37=39. Then divide by 13: x = 39/13 = 3. | linear_equation |
7,175 | fractions | medium | What is 15/8 + 6/6? Give as simplified fraction. | 23/8 | Common denominator 8*6=48. 15/8=90/48, 6/6=48/48. Sum = 138/48 = 23/8 simplified. | fraction_operations |
7,176 | arithmetic | easy | What is 91 * 2? | 182 | Multiply: 91 * 2 = 182. | basic_operations |
7,177 | number_theory | medium | What is the LCM (least common multiple) of 89 and 37? | 3293 | LCM = |89*37| / GCD(89,37). GCD=1, so LCM=3293/1=3293. | lcm |
7,178 | percentages | easy | What is 54% of 52? | 28.08 | Calculate 54/100 * 52 = 0.54*52 = 28.08. | percentages |
7,179 | arithmetic | easy | What is 11132 / 44? | 253 | Divide: 11132 ÷ 44 = 253 because 44*253=11132. | division |
7,180 | arithmetic | easy | What is 930 + 968? | 1898 | Add the two numbers: 930 + 968 = 1898. | basic_operations |
7,181 | arithmetic | easy | What is 252 / 7? | 36 | Divide: 252 ÷ 7 = 36 because 7*36=252. | division |
7,182 | 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 |
7,183 | arithmetic | easy | What is 517 - 34? | 483 | Subtract: 517 - 34 = 483. | basic_operations |
7,184 | fractions | medium | What is 9/16 * 11/16? Give as simplified fraction. | 99/256 | Multiply numerators: 9*11=99. Denominators: 16*16=256. Simplify by gcd 1 to get 99/256. | fraction_operations |
7,185 | fractions | medium | What is 8/12 * 10/18? Give as simplified fraction. | 10/27 | Multiply numerators: 8*10=80. Denominators: 12*18=216. Simplify by gcd 8 to get 10/27. | fraction_operations |
7,186 | fractions | medium | What is 12/17 + 3/7? Give as simplified fraction. | 135/119 | Common denominator 17*7=119. 12/17=84/119, 3/7=51/119. Sum = 135/119 = 135/119 simplified. | fraction_operations |
7,187 | exponents | easy | What is 11^5? | 161051 | 11^5 means multiply 11 by itself 5 times: 11*11*11*11*11 = 161051. | exponents |
7,188 | statistics | easy | What is the mean (average) of 12, 33, 50, 32, 91? | 43.6 | Mean = sum/count. Sum = 12+33+50+32+91=218. Count=5. Mean=218/5=43.6. | mean |
7,189 | 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 |
7,190 | calculus | medium | What is the derivative of 5x^8 with respect to x? | 40x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^8] = 5*8*x^7 = 40x^7. | derivative |
7,191 | percentages | easy | What is 20% of 24? | 4.8 | Calculate 20/100 * 24 = 0.2*24 = 4.8. | percentages |
7,192 | fractions | medium | What is 3/17 - 5/15? Give as simplified fraction. | -8/51 | Common denominator 255. Numerator 45-85=-40. So -40/255 simplifies to -8/51. | fraction_operations |
7,193 | number_theory | medium | What is the GCD (greatest common divisor) of 19 and 100? | 1 | Find greatest number dividing both 19 and 100. Divisors common, greatest is 1. | gcd |
7,194 | exponents | easy | What is 8^4? | 4096 | 8^4 means multiply 8 by itself 4 times: 8*8*8*8 = 4096. | exponents |
7,195 | geometry | easy | Find the area of a triangle with base 22 and height 93. | 1023 | Area = 0.5*base*height = 0.5*22*93 = 1023. | triangle_area |
7,196 | statistics | easy | What is the mean (average) of 17, 38, 1, 6, 5? | 13.4 | Mean = sum/count. Sum = 17+38+1+6+5=67. Count=5. Mean=67/5=13.4. | mean |
7,197 | algebra | easy | Solve for x: 1x + 19 = 24 | 5 | Subtract 19 from both sides: 1x = 24-19=5. Then divide by 1: x = 5/1 = 5. | linear_equation |
7,198 | arithmetic | easy | What is 49 * 3? | 147 | Multiply: 49 * 3 = 147. | basic_operations |
7,199 | arithmetic | easy | What is 785 + 573 * 44? Remember order of operations. | 25997 | Order of operations (PEMDAS): first 573*44=25212, then 785+25212=25997. | basic_operations |
7,200 | algebra | easy | Solve for x: 16x - 36 = 44 | 5 | Add 36 to both sides: 16x = 44+36=80. Then x = 80/16 = 5. | linear_equation |
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