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 |
|---|---|---|---|---|---|---|
9,101 | percentages | easy | What is 87% of 630? | 548.1 | Calculate 87/100 * 630 = 0.87*630 = 548.1. | percentages |
9,102 | percentages | easy | What is 26% of 61? | 15.86 | Calculate 26/100 * 61 = 0.26*61 = 15.86. | percentages |
9,103 | algebra | medium | Solve for x: x^2 - 1x = 0 | x = 0, 1 | Factor: (x - 0)(x - 1) = x^2 -(1)x + 0 = 0. So x = 0 or 1. Check sum = 1, product = 0. | quadratic |
9,104 | statistics | easy | What is the mean (average) of 93, 18, 8, 55, 20? | 38.8 | Mean = sum/count. Sum = 93+18+8+55+20=194. Count=5. Mean=194/5=38.8. | mean |
9,105 | percentages | easy | What is 15% of 810? | 121.5 | Calculate 15/100 * 810 = 0.15*810 = 121.5. | percentages |
9,106 | exponents | easy | What is 12^4? | 20736 | 12^4 means multiply 12 by itself 4 times: 12*12*12*12 = 20736. | exponents |
9,107 | 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 |
9,108 | arithmetic | easy | What is 1811 divided by 4? Give answer to 2 decimal places. | 452.75 | Calculate 1811/ 4 = 452.7500, rounded to 2 decimals is 452.75. | division |
9,109 | arithmetic | easy | What is 29325 / 75? | 391 | Divide: 29325 ÷ 75 = 391 because 75*391=29325. | division |
9,110 | exponents | easy | What is 7^2? | 49 | 7^2 means multiply 7 by itself 2 times: 7*7 = 49. | exponents |
9,111 | number_theory | medium | What is the GCD (greatest common divisor) of 21 and 12? | 3 | Find greatest number dividing both 21 and 12. Divisors common, greatest is 3. | gcd |
9,112 | algebra | easy | Solve for x: 2x - 23 = -9 | 7 | Add 23 to both sides: 2x = -9+23=14. Then x = 14/2 = 7. | linear_equation |
9,113 | arithmetic | easy | What is 532 - 126? | 406 | Subtract: 532 - 126 = 406. | basic_operations |
9,114 | arithmetic | easy | What is 262 - 260? | 2 | Subtract: 262 - 260 = 2. | basic_operations |
9,115 | arithmetic | easy | What is 709 + 626 * 64? Remember order of operations. | 40773 | Order of operations (PEMDAS): first 626*64=40064, then 709+40064=40773. | basic_operations |
9,116 | percentages | easy | What is 35% of 436? | 152.6 | Calculate 35/100 * 436 = 0.35*436 = 152.6. | percentages |
9,117 | roots | easy | What is the square root of 289? | 17 | Find number that when squared gives 289. 17*17=289, so sqrt(289)=17. | square_roots |
9,118 | geometry | easy | Find the area of a triangle with base 46 and height 4. | 92 | Area = 0.5*base*height = 0.5*46*4 = 92. | triangle_area |
9,119 | calculus | medium | What is the derivative of 10x^2 with respect to x? | 20x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^2] = 10*2*x^1 = 20x. | derivative |
9,120 | roots | easy | What is the square root of 1089? | 33 | Find number that when squared gives 1089. 33*33=1089, so sqrt(1089)=33. | square_roots |
9,121 | arithmetic | easy | What is 59 * 34? | 2006 | Multiply: 59 * 34 = 2006. | basic_operations |
9,122 | 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 |
9,123 | percentages | easy | What is 88% of 634? | 557.92 | Calculate 88/100 * 634 = 0.88*634 = 557.92. | percentages |
9,124 | number_theory | medium | What is the GCD (greatest common divisor) of 74 and 84? | 2 | Find greatest number dividing both 74 and 84. Divisors common, greatest is 2. | gcd |
9,125 | statistics | easy | What is the mean (average) of 19, 78, 36, 11? | 36 | Mean = sum/count. Sum = 19+78+36+11=144. Count=4. Mean=144/4=36.0. | mean |
9,126 | exponents | easy | What is 4^2? | 16 | 4^2 means multiply 4 by itself 2 times: 4*4 = 16. | exponents |
9,127 | exponents | easy | What is 11^4? | 14641 | 11^4 means multiply 11 by itself 4 times: 11*11*11*11 = 14641. | exponents |
9,128 | word_problems | easy | If you have 88 candies and you buy 29 more candies, how many candies do you have in total? | 117 | Add initial 88 plus bought 29: 88+29=117. | addition_word |
9,129 | algebra | medium | Solve for x: x^2 + 4x = 0 | x = 0, -4 | Factor: (x - 0)(x - -4) = x^2 -(-4)x + 0 = 0. So x = 0 or -4. Check sum = -4, product = 0. | quadratic |
9,130 | exponents | easy | What is 9^5? | 59049 | 9^5 means multiply 9 by itself 5 times: 9*9*9*9*9 = 59049. | exponents |
9,131 | calculus | medium | What is the derivative of 2x^6 with respect to x? | 12x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^6] = 2*6*x^5 = 12x^5. | derivative |
9,132 | number_theory | medium | What is the GCD (greatest common divisor) of 25 and 6? | 1 | Find greatest number dividing both 25 and 6. Divisors common, greatest is 1. | gcd |
9,133 | 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 |
9,134 | statistics | easy | What is the mean (average) of 68, 81, 52? | 67 | Mean = sum/count. Sum = 68+81+52=201. Count=3. Mean=201/3=67.0. | mean |
9,135 | arithmetic | easy | What is 9406 divided by 62? Give answer to 2 decimal places. | 151.71 | Calculate 9406/ 62 = 151.7097, rounded to 2 decimals is 151.71. | division |
9,136 | roots | easy | What is the square root of 1444? | 38 | Find number that when squared gives 1444. 38*38=1444, so sqrt(1444)=38. | square_roots |
9,137 | arithmetic | easy | What is 990 + 138 * 88? Remember order of operations. | 13134 | Order of operations (PEMDAS): first 138*88=12144, then 990+12144=13134. | basic_operations |
9,138 | word_problems | easy | If you have 54 apples and you buy 6 more apples, how many apples do you have in total? | 60 | Add initial 54 plus bought 6: 54+6=60. | addition_word |
9,139 | 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 |
9,140 | calculus | medium | What is the derivative of 1x^5 with respect to x? | 5x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^5] = 1*5*x^4 = 5x^4. | derivative |
9,141 | fractions | medium | What is 10/18 - 5/10? Give as simplified fraction. | 1/18 | Common denominator 180. Numerator 100-90=10. So 10/180 simplifies to 1/18. | fraction_operations |
9,142 | 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 |
9,143 | arithmetic | easy | What is 406 + 128 * 48? Remember order of operations. | 6550 | Order of operations (PEMDAS): first 128*48=6144, then 406+6144=6550. | basic_operations |
9,144 | statistics | easy | What is the mean (average) of 63, 88, 38, 6, 21? | 43.2 | Mean = sum/count. Sum = 63+88+38+6+21=216. Count=5. Mean=216/5=43.2. | mean |
9,145 | arithmetic | easy | What is 919 + 373 * 64? Remember order of operations. | 24791 | Order of operations (PEMDAS): first 373*64=23872, then 919+23872=24791. | basic_operations |
9,146 | algebra | easy | Solve for x: 11x - 32 = -65 | -3 | Add 32 to both sides: 11x = -65+32=-33. Then x = -33/11 = -3. | linear_equation |
9,147 | algebra | medium | Solve for x: x^2 + 4x = 0 | x = -4, 0 | Factor: (x - -4)(x - 0) = x^2 -(-4)x + 0 = 0. So x = -4 or 0. Check sum = -4, product = 0. | quadratic |
9,148 | algebra | easy | Solve for x: 11x + 45 = 89 | 4 | Subtract 45 from both sides: 11x = 89-45=44. Then divide by 11: x = 44/11 = 4. | linear_equation |
9,149 | arithmetic | easy | What is 67 * 80? | 5360 | Multiply: 67 * 80 = 5360. | basic_operations |
9,150 | calculus | medium | What is the derivative of 8x^2 with respect to x? | 16x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^2] = 8*2*x^1 = 16x. | derivative |
9,151 | algebra | medium | Solve for x: x^2 + 6x - 7 = 0 | x = -7, 1 | Factor: (x - -7)(x - 1) = x^2 -(-6)x + -7 = 0. So x = -7 or 1. Check sum = -6, product = -7. | quadratic |
9,152 | arithmetic | easy | What is 348 + 792? | 1140 | Add the two numbers: 348 + 792 = 1140. | basic_operations |
9,153 | percentages | easy | What is 43% of 204? | 87.72 | Calculate 43/100 * 204 = 0.43*204 = 87.72. | percentages |
9,154 | arithmetic | easy | What is 35 * 48? | 1680 | Multiply: 35 * 48 = 1680. | basic_operations |
9,155 | arithmetic | easy | What is 338 + 628 * 80? Remember order of operations. | 50578 | Order of operations (PEMDAS): first 628*80=50240, then 338+50240=50578. | basic_operations |
9,156 | algebra | easy | Solve for x: 8x - 31 = -127 | -12 | Add 31 to both sides: 8x = -127+31=-96. Then x = -96/8 = -12. | linear_equation |
9,157 | arithmetic | easy | What is 620 / 2? | 310 | Divide: 620 ÷ 2 = 310 because 2*310=620. | division |
9,158 | geometry | easy | Find the area of a circle with radius 48. Use pi=3.14159, round to 2 decimals. | 7238.23 | Area = pi*r^2 = 3.14159*48^2 = 3.14159*2304 = 7238.23. | circle_area |
9,159 | percentages | easy | What is 93% of 112? | 104.16 | Calculate 93/100 * 112 = 0.93*112 = 104.16. | percentages |
9,160 | geometry | easy | Find the area of a rectangle with length 36 and width 4. | 144 | Area = length * width = 36*4 = 144. | rectangle_area |
9,161 | statistics | easy | What is the mean (average) of 29, 34, 89, 26, 88? | 53.2 | Mean = sum/count. Sum = 29+34+89+26+88=266. Count=5. Mean=266/5=53.2. | mean |
9,162 | word_problems | easy | If you have 66 pencils and you buy 38 more pencils, how many pencils do you have in total? | 104 | Add initial 66 plus bought 38: 66+38=104. | addition_word |
9,163 | algebra | easy | Solve for x: 10x - 45 = -155 | -11 | Add 45 to both sides: 10x = -155+45=-110. Then x = -110/10 = -11. | linear_equation |
9,164 | arithmetic | easy | What is 3504 / 16? | 219 | Divide: 3504 ÷ 16 = 219 because 16*219=3504. | division |
9,165 | percentages | easy | What is 12% of 223? | 26.76 | Calculate 12/100 * 223 = 0.12*223 = 26.76. | percentages |
9,166 | statistics | easy | What is the mean (average) of 73, 88, 96, 67, 11? | 67 | Mean = sum/count. Sum = 73+88+96+67+11=335. Count=5. Mean=335/5=67.0. | mean |
9,167 | arithmetic | easy | What is 686 divided by 85? Give answer to 2 decimal places. | 8.07 | Calculate 686/ 85 = 8.0706, rounded to 2 decimals is 8.07. | division |
9,168 | algebra | easy | Solve for x: 10x - 30 = 30 | 6 | Add 30 to both sides: 10x = 30+30=60. Then x = 60/10 = 6. | linear_equation |
9,169 | number_theory | medium | What is the LCM (least common multiple) of 60 and 67? | 4020 | LCM = |60*67| / GCD(60,67). GCD=1, so LCM=4020/1=4020. | lcm |
9,170 | fractions | medium | What is 11/13 - 17/17? Give as simplified fraction. | -2/13 | Common denominator 221. Numerator 187-221=-34. So -34/221 simplifies to -2/13. | fraction_operations |
9,171 | exponents | easy | What is 7^3? | 343 | 7^3 means multiply 7 by itself 3 times: 7*7*7 = 343. | exponents |
9,172 | 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 |
9,173 | exponents | easy | What is 10^3? | 1000 | 10^3 means multiply 10 by itself 3 times: 10*10*10 = 1000. | exponents |
9,174 | fractions | medium | What is 16/6 - 11/11? Give as simplified fraction. | 5/3 | Common denominator 66. Numerator 176-66=110. So 110/66 simplifies to 5/3. | fraction_operations |
9,175 | algebra | medium | Solve for x: x^2 - 4x - 60 = 0 | x = -6, 10 | Factor: (x - -6)(x - 10) = x^2 -(4)x + -60 = 0. So x = -6 or 10. Check sum = 4, product = -60. | quadratic |
9,176 | roots | easy | What is the square root of 169? | 13 | Find number that when squared gives 169. 13*13=169, so sqrt(169)=13. | square_roots |
9,177 | roots | easy | What is the square root of 64? | 8 | Find number that when squared gives 64. 8*8=64, so sqrt(64)=8. | square_roots |
9,178 | arithmetic | easy | What is 72 + 97 * 68? Remember order of operations. | 6668 | Order of operations (PEMDAS): first 97*68=6596, then 72+6596=6668. | basic_operations |
9,179 | arithmetic | easy | What is 340 - 48? | 292 | Subtract: 340 - 48 = 292. | basic_operations |
9,180 | percentages | easy | What is 71% of 754? | 535.34 | Calculate 71/100 * 754 = 0.71*754 = 535.34. | percentages |
9,181 | 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 |
9,182 | algebra | medium | Solve for x: x^2 + 12x + 20 = 0 | x = -10, -2 | Factor: (x - -10)(x - -2) = x^2 -(-12)x + 20 = 0. So x = -10 or -2. Check sum = -12, product = 20. | quadratic |
9,183 | word_problems | easy | If you have 55 candies and you buy 31 more candies, how many candies do you have in total? | 86 | Add initial 55 plus bought 31: 55+31=86. | addition_word |
9,184 | calculus | medium | What is the derivative of 1x^5 with respect to x? | 5x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^5] = 1*5*x^4 = 5x^4. | derivative |
9,185 | algebra | easy | Solve for x: 18x + 19 = 217 | 11 | Subtract 19 from both sides: 18x = 217-19=198. Then divide by 18: x = 198/18 = 11. | linear_equation |
9,186 | exponents | easy | What is 7^5? | 16807 | 7^5 means multiply 7 by itself 5 times: 7*7*7*7*7 = 16807. | exponents |
9,187 | arithmetic | easy | What is 741 + 682? | 1423 | Add the two numbers: 741 + 682 = 1423. | basic_operations |
9,188 | 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 |
9,189 | arithmetic | easy | What is 50 * 72? | 3600 | Multiply: 50 * 72 = 3600. | basic_operations |
9,190 | fractions | medium | What is 4/13 + 5/14? Give as simplified fraction. | 121/182 | Common denominator 13*14=182. 4/13=56/182, 5/14=65/182. Sum = 121/182 = 121/182 simplified. | fraction_operations |
9,191 | arithmetic | easy | What is 28901 divided by 86? Give answer to 2 decimal places. | 336.06 | Calculate 28901/ 86 = 336.0581, rounded to 2 decimals is 336.06. | division |
9,192 | exponents | easy | What is 3^4? | 81 | 3^4 means multiply 3 by itself 4 times: 3*3*3*3 = 81. | exponents |
9,193 | geometry | easy | Find the perimeter of a rectangle with length 1 and width 82. | 166 | Perimeter = 2*(length+width) = 2*(1+82) = 2*83 = 166. | rectangle_perim |
9,194 | arithmetic | easy | What is 1239 / 3? | 413 | Divide: 1239 ÷ 3 = 413 because 3*413=1239. | division |
9,195 | geometry | easy | Find the area of a circle with radius 23. Use pi=3.14159, round to 2 decimals. | 1661.9 | Area = pi*r^2 = 3.14159*23^2 = 3.14159*529 = 1661.9. | circle_area |
9,196 | algebra | easy | Solve for x: 19x + 50 = 392 | 18 | Subtract 50 from both sides: 19x = 392-50=342. Then divide by 19: x = 342/19 = 18. | linear_equation |
9,197 | 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 |
9,198 | word_problems | easy | If you have 44 books and you buy 18 more books, how many books do you have in total? | 62 | Add initial 44 plus bought 18: 44+18=62. | addition_word |
9,199 | fractions | medium | What is 3/17 * 4/5? Give as simplified fraction. | 12/85 | Multiply numerators: 3*4=12. Denominators: 17*5=85. Simplify by gcd 1 to get 12/85. | fraction_operations |
9,200 | number_theory | medium | What is the GCD (greatest common divisor) of 30 and 30? | 30 | Find greatest number dividing both 30 and 30. Divisors common, greatest is 30. | gcd |
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