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 |
|---|---|---|---|---|---|---|
734,201 | geometry | easy | Find the perimeter of a rectangle with length 57 and width 58. | 230 | Perimeter = 2*(length+width) = 2*(57+58) = 2*115 = 230. | rectangle_perim |
734,202 | arithmetic | easy | What is 625 - 49? | 576 | Subtract: 625 - 49 = 576. | basic_operations |
734,203 | statistics | easy | What is the mean (average) of 95, 53, 67? | 71.67 | Mean = sum/count. Sum = 95+53+67=215. Count=3. Mean=215/3=71.67. | mean |
734,204 | calculus | medium | What is the derivative of 3x^6 with respect to x? | 18x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^6] = 3*6*x^5 = 18x^5. | derivative |
734,205 | exponents | easy | What is 7^5? | 16807 | 7^5 means multiply 7 by itself 5 times: 7*7*7*7*7 = 16807. | exponents |
734,206 | 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 |
734,207 | arithmetic | easy | What is 25398 / 83? | 306 | Divide: 25398 ÷ 83 = 306 because 83*306=25398. | division |
734,208 | number_theory | medium | What is the LCM (least common multiple) of 66 and 60? | 660 | LCM = |66*60| / GCD(66,60). GCD=6, so LCM=3960/6=660. | lcm |
734,209 | algebra | medium | Solve for x: x^2 - 3x - 70 = 0 | x = 10, -7 | Factor: (x - 10)(x - -7) = x^2 -(3)x + -70 = 0. So x = 10 or -7. Check sum = 3, product = -70. | quadratic |
734,210 | 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 |
734,211 | arithmetic | easy | What is 5616 divided by 22? Give answer to 2 decimal places. | 255.27 | Calculate 5616/ 22 = 255.2727, rounded to 2 decimals is 255.27. | division |
734,212 | number_theory | medium | What is the GCD (greatest common divisor) of 84 and 98? | 14 | Find greatest number dividing both 84 and 98. Divisors common, greatest is 14. | gcd |
734,213 | fractions | medium | What is 4/18 * 3/12? Give as simplified fraction. | 1/18 | Multiply numerators: 4*3=12. Denominators: 18*12=216. Simplify by gcd 12 to get 1/18. | fraction_operations |
734,214 | arithmetic | easy | What is 2940 / 35? | 84 | Divide: 2940 ÷ 35 = 84 because 35*84=2940. | division |
734,215 | 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 |
734,216 | 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 |
734,217 | arithmetic | easy | What is 113 + 769? | 882 | Add the two numbers: 113 + 769 = 882. | basic_operations |
734,218 | number_theory | medium | What is the LCM (least common multiple) of 76 and 5? | 380 | LCM = |76*5| / GCD(76,5). GCD=1, so LCM=380/1=380. | lcm |
734,219 | arithmetic | easy | What is 352 + 236 * 49? Remember order of operations. | 11916 | Order of operations (PEMDAS): first 236*49=11564, then 352+11564=11916. | basic_operations |
734,220 | word_problems | easy | If you have 32 pencils and you buy 46 more pencils, how many pencils do you have in total? | 78 | Add initial 32 plus bought 46: 32+46=78. | addition_word |
734,221 | 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 |
734,222 | statistics | easy | What is the mean (average) of 5, 15, 60, 78? | 39.5 | Mean = sum/count. Sum = 5+15+60+78=158. Count=4. Mean=158/4=39.5. | mean |
734,223 | arithmetic | easy | What is 6083 / 77? | 79 | Divide: 6083 ÷ 77 = 79 because 77*79=6083. | division |
734,224 | 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 |
734,225 | 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 |
734,226 | arithmetic | easy | What is 799 - 99? | 700 | Subtract: 799 - 99 = 700. | basic_operations |
734,227 | arithmetic | easy | What is 41 * 82? | 3362 | Multiply: 41 * 82 = 3362. | basic_operations |
734,228 | roots | easy | What is the square root of 484? | 22 | Find number that when squared gives 484. 22*22=484, so sqrt(484)=22. | square_roots |
734,229 | algebra | easy | Solve for x: 4x - 34 = -54 | -5 | Add 34 to both sides: 4x = -54+34=-20. Then x = -20/4 = -5. | linear_equation |
734,230 | exponents | easy | What is 5^4? | 625 | 5^4 means multiply 5 by itself 4 times: 5*5*5*5 = 625. | exponents |
734,231 | percentages | easy | What is 83% of 252? | 209.16 | Calculate 83/100 * 252 = 0.83*252 = 209.16. | percentages |
734,232 | 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 |
734,233 | exponents | easy | What is 8^5? | 32768 | 8^5 means multiply 8 by itself 5 times: 8*8*8*8*8 = 32768. | exponents |
734,234 | geometry | easy | Find the area of a triangle with base 96 and height 83. | 3984 | Area = 0.5*base*height = 0.5*96*83 = 3984. | triangle_area |
734,235 | exponents | easy | What is 10^2? | 100 | 10^2 means multiply 10 by itself 2 times: 10*10 = 100. | exponents |
734,236 | percentages | easy | What is 91% of 408? | 371.28 | Calculate 91/100 * 408 = 0.91*408 = 371.28. | percentages |
734,237 | algebra | medium | Solve for x: x^2 - 10x + 9 = 0 | x = 1, 9 | Factor: (x - 1)(x - 9) = x^2 -(10)x + 9 = 0. So x = 1 or 9. Check sum = 10, product = 9. | quadratic |
734,238 | calculus | medium | What is the derivative of 10x^5 with respect to x? | 50x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^5] = 10*5*x^4 = 50x^4. | derivative |
734,239 | 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 |
734,240 | 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 |
734,241 | word_problems | easy | If you have 98 candies and you buy 29 more candies, how many candies do you have in total? | 127 | Add initial 98 plus bought 29: 98+29=127. | addition_word |
734,242 | algebra | easy | Solve for x: 18x - 10 = 134 | 8 | Add 10 to both sides: 18x = 134+10=144. Then x = 144/18 = 8. | linear_equation |
734,243 | arithmetic | easy | What is 887 - 789? | 98 | Subtract: 887 - 789 = 98. | basic_operations |
734,244 | number_theory | medium | What is the GCD (greatest common divisor) of 81 and 69? | 3 | Find greatest number dividing both 81 and 69. Divisors common, greatest is 3. | gcd |
734,245 | arithmetic | easy | What is 4720 / 80? | 59 | Divide: 4720 ÷ 80 = 59 because 80*59=4720. | division |
734,246 | word_problems | easy | If you have 73 books and you buy 28 more books, how many books do you have in total? | 101 | Add initial 73 plus bought 28: 73+28=101. | addition_word |
734,247 | arithmetic | easy | What is 261 - 218? | 43 | Subtract: 261 - 218 = 43. | basic_operations |
734,248 | statistics | easy | What is the mean (average) of 5, 96, 99? | 66.67 | Mean = sum/count. Sum = 5+96+99=200. Count=3. Mean=200/3=66.67. | mean |
734,249 | exponents | easy | What is 10^4? | 10000 | 10^4 means multiply 10 by itself 4 times: 10*10*10*10 = 10000. | exponents |
734,250 | number_theory | medium | What is the GCD (greatest common divisor) of 33 and 8? | 1 | Find greatest number dividing both 33 and 8. Divisors common, greatest is 1. | gcd |
734,251 | statistics | easy | What is the mean (average) of 52, 73, 19? | 48 | Mean = sum/count. Sum = 52+73+19=144. Count=3. Mean=144/3=48.0. | mean |
734,252 | 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 |
734,253 | word_problems | easy | If you have 28 candies and you buy 48 more candies, how many candies do you have in total? | 76 | Add initial 28 plus bought 48: 28+48=76. | addition_word |
734,254 | word_problems | easy | If you have 50 candies and you buy 21 more candies, how many candies do you have in total? | 71 | Add initial 50 plus bought 21: 50+21=71. | addition_word |
734,255 | 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 |
734,256 | 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 |
734,257 | number_theory | medium | What is the GCD (greatest common divisor) of 64 and 12? | 4 | Find greatest number dividing both 64 and 12. Divisors common, greatest is 4. | gcd |
734,258 | word_problems | easy | If you have 7 apples and you buy 28 more apples, how many apples do you have in total? | 35 | Add initial 7 plus bought 28: 7+28=35. | addition_word |
734,259 | statistics | easy | What is the mean (average) of 63, 9, 56, 13? | 35.25 | Mean = sum/count. Sum = 63+9+56+13=141. Count=4. Mean=141/4=35.25. | mean |
734,260 | fractions | medium | What is 15/10 * 7/16? Give as simplified fraction. | 21/32 | Multiply numerators: 15*7=105. Denominators: 10*16=160. Simplify by gcd 5 to get 21/32. | fraction_operations |
734,261 | statistics | easy | What is the mean (average) of 31, 46, 21? | 32.67 | Mean = sum/count. Sum = 31+46+21=98. Count=3. Mean=98/3=32.67. | mean |
734,262 | number_theory | medium | What is the GCD (greatest common divisor) of 93 and 79? | 1 | Find greatest number dividing both 93 and 79. Divisors common, greatest is 1. | gcd |
734,263 | number_theory | medium | What is the GCD (greatest common divisor) of 4 and 91? | 1 | Find greatest number dividing both 4 and 91. Divisors common, greatest is 1. | gcd |
734,264 | exponents | easy | What is 3^4? | 81 | 3^4 means multiply 3 by itself 4 times: 3*3*3*3 = 81. | exponents |
734,265 | 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 |
734,266 | fractions | medium | What is 9/14 * 20/16? Give as simplified fraction. | 45/56 | Multiply numerators: 9*20=180. Denominators: 14*16=224. Simplify by gcd 4 to get 45/56. | fraction_operations |
734,267 | calculus | medium | What is the derivative of 4x^2 with respect to x? | 8x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^2] = 4*2*x^1 = 8x. | derivative |
734,268 | geometry | easy | Find the perimeter of a rectangle with length 95 and width 98. | 386 | Perimeter = 2*(length+width) = 2*(95+98) = 2*193 = 386. | rectangle_perim |
734,269 | fractions | medium | What is 10/13 - 9/7? Give as simplified fraction. | -47/91 | Common denominator 91. Numerator 70-117=-47. So -47/91 simplifies to -47/91. | fraction_operations |
734,270 | exponents | easy | What is 7^5? | 16807 | 7^5 means multiply 7 by itself 5 times: 7*7*7*7*7 = 16807. | exponents |
734,271 | exponents | easy | What is 7^5? | 16807 | 7^5 means multiply 7 by itself 5 times: 7*7*7*7*7 = 16807. | exponents |
734,272 | arithmetic | easy | What is 8 + 1 * 80? Remember order of operations. | 88 | Order of operations (PEMDAS): first 1*80=80, then 8+80=88. | basic_operations |
734,273 | arithmetic | easy | What is 867 - 575? | 292 | Subtract: 867 - 575 = 292. | basic_operations |
734,274 | arithmetic | easy | What is 23760 / 54? | 440 | Divide: 23760 ÷ 54 = 440 because 54*440=23760. | division |
734,275 | fractions | medium | What is 6/12 - 9/13? Give as simplified fraction. | -5/26 | Common denominator 156. Numerator 78-108=-30. So -30/156 simplifies to -5/26. | fraction_operations |
734,276 | algebra | medium | Solve for x: x^2 + 8x + 15 = 0 | x = -3, -5 | Factor: (x - -3)(x - -5) = x^2 -(-8)x + 15 = 0. So x = -3 or -5. Check sum = -8, product = 15. | quadratic |
734,277 | number_theory | medium | What is the LCM (least common multiple) of 85 and 67? | 5695 | LCM = |85*67| / GCD(85,67). GCD=1, so LCM=5695/1=5695. | lcm |
734,278 | fractions | medium | What is 2/12 + 14/6? Give as simplified fraction. | 5/2 | Common denominator 12*6=72. 2/12=12/72, 14/6=168/72. Sum = 180/72 = 5/2 simplified. | fraction_operations |
734,279 | statistics | easy | What is the mean (average) of 54, 37, 42, 23, 34? | 38 | Mean = sum/count. Sum = 54+37+42+23+34=190. Count=5. Mean=190/5=38.0. | mean |
734,280 | arithmetic | easy | What is 515 + 428 * 22? Remember order of operations. | 9931 | Order of operations (PEMDAS): first 428*22=9416, then 515+9416=9931. | basic_operations |
734,281 | arithmetic | easy | What is 921 + 734? | 1655 | Add the two numbers: 921 + 734 = 1655. | basic_operations |
734,282 | word_problems | easy | If you have 91 dollars and you buy 26 more dollars, how many dollars do you have in total? | 117 | Add initial 91 plus bought 26: 91+26=117. | addition_word |
734,283 | percentages | easy | What is 86% of 639? | 549.54 | Calculate 86/100 * 639 = 0.86*639 = 549.54. | percentages |
734,284 | algebra | easy | Solve for x: 9x + 40 = -23 | -7 | Subtract 40 from both sides: 9x = -23-40=-63. Then divide by 9: x = -63/9 = -7. | linear_equation |
734,285 | 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 |
734,286 | algebra | easy | Solve for x: 7x - 29 = 111 | 20 | Add 29 to both sides: 7x = 111+29=140. Then x = 140/7 = 20. | linear_equation |
734,287 | percentages | easy | What is 12% of 221? | 26.52 | Calculate 12/100 * 221 = 0.12*221 = 26.52. | percentages |
734,288 | number_theory | medium | What is the GCD (greatest common divisor) of 90 and 29? | 1 | Find greatest number dividing both 90 and 29. Divisors common, greatest is 1. | gcd |
734,289 | fractions | medium | What is 18/16 + 11/14? Give as simplified fraction. | 107/56 | Common denominator 16*14=224. 18/16=252/224, 11/14=176/224. Sum = 428/224 = 107/56 simplified. | fraction_operations |
734,290 | geometry | easy | Find the perimeter of a rectangle with length 8 and width 83. | 182 | Perimeter = 2*(length+width) = 2*(8+83) = 2*91 = 182. | rectangle_perim |
734,291 | 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 |
734,292 | exponents | easy | What is 5^3? | 125 | 5^3 means multiply 5 by itself 3 times: 5*5*5 = 125. | exponents |
734,293 | arithmetic | easy | What is 235 + 622? | 857 | Add the two numbers: 235 + 622 = 857. | basic_operations |
734,294 | algebra | easy | Solve for x: 3x + 46 = 85 | 13 | Subtract 46 from both sides: 3x = 85-46=39. Then divide by 3: x = 39/3 = 13. | linear_equation |
734,295 | number_theory | medium | What is the LCM (least common multiple) of 15 and 69? | 345 | LCM = |15*69| / GCD(15,69). GCD=3, so LCM=1035/3=345. | lcm |
734,296 | algebra | easy | Solve for x: 9x - 6 = 129 | 15 | Add 6 to both sides: 9x = 129+6=135. Then x = 135/9 = 15. | linear_equation |
734,297 | arithmetic | easy | What is 4065 divided by 66? Give answer to 2 decimal places. | 61.59 | Calculate 4065/ 66 = 61.5909, rounded to 2 decimals is 61.59. | division |
734,298 | fractions | medium | What is 2/2 + 4/10? Give as simplified fraction. | 7/5 | Common denominator 2*10=20. 2/2=20/20, 4/10=8/20. Sum = 28/20 = 7/5 simplified. | fraction_operations |
734,299 | fractions | medium | What is 2/9 + 16/16? Give as simplified fraction. | 11/9 | Common denominator 9*16=144. 2/9=32/144, 16/16=144/144. Sum = 176/144 = 11/9 simplified. | fraction_operations |
734,300 | calculus | medium | What is the derivative of 9x^6 with respect to x? | 54x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^6] = 9*6*x^5 = 54x^5. | derivative |
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