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 |
|---|---|---|---|---|---|---|
11,201 | fractions | medium | What is 16/20 * 5/6? Give as simplified fraction. | 2/3 | Multiply numerators: 16*5=80. Denominators: 20*6=120. Simplify by gcd 40 to get 2/3. | fraction_operations |
11,202 | 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 |
11,203 | arithmetic | easy | What is 37920 / 80? | 474 | Divide: 37920 ÷ 80 = 474 because 80*474=37920. | division |
11,204 | arithmetic | easy | What is 224 + 186 * 63? Remember order of operations. | 11942 | Order of operations (PEMDAS): first 186*63=11718, then 224+11718=11942. | basic_operations |
11,205 | statistics | easy | What is the mean (average) of 37, 41, 7? | 28.33 | Mean = sum/count. Sum = 37+41+7=85. Count=3. Mean=85/3=28.33. | mean |
11,206 | 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 |
11,207 | arithmetic | easy | What is 11622 / 78? | 149 | Divide: 11622 ÷ 78 = 149 because 78*149=11622. | division |
11,208 | arithmetic | easy | What is 485 + 259 * 17? Remember order of operations. | 4888 | Order of operations (PEMDAS): first 259*17=4403, then 485+4403=4888. | basic_operations |
11,209 | statistics | easy | What is the mean (average) of 73, 55, 21, 77, 10? | 47.2 | Mean = sum/count. Sum = 73+55+21+77+10=236. Count=5. Mean=236/5=47.2. | mean |
11,210 | geometry | easy | Find the area of a circle with radius 38. Use pi=3.14159, round to 2 decimals. | 4536.46 | Area = pi*r^2 = 3.14159*38^2 = 3.14159*1444 = 4536.46. | circle_area |
11,211 | statistics | easy | What is the mean (average) of 31, 53, 49, 3? | 34 | Mean = sum/count. Sum = 31+53+49+3=136. Count=4. Mean=136/4=34.0. | mean |
11,212 | 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 |
11,213 | arithmetic | easy | What is 22606 divided by 79? Give answer to 2 decimal places. | 286.15 | Calculate 22606/ 79 = 286.1519, rounded to 2 decimals is 286.15. | division |
11,214 | exponents | easy | What is 9^3? | 729 | 9^3 means multiply 9 by itself 3 times: 9*9*9 = 729. | exponents |
11,215 | calculus | medium | What is the derivative of 6x^5 with respect to x? | 30x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^5] = 6*5*x^4 = 30x^4. | derivative |
11,216 | fractions | medium | What is 20/16 - 17/18? Give as simplified fraction. | 11/36 | Common denominator 288. Numerator 360-272=88. So 88/288 simplifies to 11/36. | fraction_operations |
11,217 | word_problems | easy | If you have 43 pencils and you buy 33 more pencils, how many pencils do you have in total? | 76 | Add initial 43 plus bought 33: 43+33=76. | addition_word |
11,218 | number_theory | medium | What is the LCM (least common multiple) of 84 and 47? | 3948 | LCM = |84*47| / GCD(84,47). GCD=1, so LCM=3948/1=3948. | lcm |
11,219 | arithmetic | easy | What is 1914 / 33? | 58 | Divide: 1914 ÷ 33 = 58 because 33*58=1914. | division |
11,220 | geometry | easy | Find the area of a triangle with base 50 and height 9. | 225 | Area = 0.5*base*height = 0.5*50*9 = 225. | triangle_area |
11,221 | 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 |
11,222 | roots | easy | What is the square root of 144? | 12 | Find number that when squared gives 144. 12*12=144, so sqrt(144)=12. | square_roots |
11,223 | roots | easy | What is the square root of 961? | 31 | Find number that when squared gives 961. 31*31=961, so sqrt(961)=31. | square_roots |
11,224 | geometry | easy | Find the circumference of a circle with radius 31. Use pi=3.14159, round to 2 decimals. | 194.78 | Circumference = 2*pi*r = 2*3.14159*31 = 194.78. | circle_circum |
11,225 | statistics | easy | What is the mean (average) of 31, 57, 82, 21? | 47.75 | Mean = sum/count. Sum = 31+57+82+21=191. Count=4. Mean=191/4=47.75. | mean |
11,226 | arithmetic | easy | What is 228 - 146? | 82 | Subtract: 228 - 146 = 82. | basic_operations |
11,227 | word_problems | easy | If you have 52 apples and you buy 25 more apples, how many apples do you have in total? | 77 | Add initial 52 plus bought 25: 52+25=77. | addition_word |
11,228 | arithmetic | easy | What is 67 * 61? | 4087 | Multiply: 67 * 61 = 4087. | basic_operations |
11,229 | statistics | easy | What is the mean (average) of 86, 69, 29, 17, 94? | 59 | Mean = sum/count. Sum = 86+69+29+17+94=295. Count=5. Mean=295/5=59.0. | mean |
11,230 | algebra | medium | Solve for x: x^2 - 81 = 0 | x = 9, -9 | Factor: (x - 9)(x - -9) = x^2 -(0)x + -81 = 0. So x = 9 or -9. Check sum = 0, product = -81. | quadratic |
11,231 | arithmetic | easy | What is 2 + 41 * 42? Remember order of operations. | 1724 | Order of operations (PEMDAS): first 41*42=1722, then 2+1722=1724. | basic_operations |
11,232 | arithmetic | easy | What is 6844 / 58? | 118 | Divide: 6844 ÷ 58 = 118 because 58*118=6844. | division |
11,233 | number_theory | medium | What is the LCM (least common multiple) of 37 and 5? | 185 | LCM = |37*5| / GCD(37,5). GCD=1, so LCM=185/1=185. | lcm |
11,234 | arithmetic | easy | What is 586 - 230? | 356 | Subtract: 586 - 230 = 356. | basic_operations |
11,235 | exponents | easy | What is 8^3? | 512 | 8^3 means multiply 8 by itself 3 times: 8*8*8 = 512. | exponents |
11,236 | statistics | easy | What is the mean (average) of 18, 25, 79? | 40.67 | Mean = sum/count. Sum = 18+25+79=122. Count=3. Mean=122/3=40.67. | mean |
11,237 | percentages | easy | What is 32% of 961? | 307.52 | Calculate 32/100 * 961 = 0.32*961 = 307.52. | percentages |
11,238 | arithmetic | easy | What is 794 + 782 * 53? Remember order of operations. | 42240 | Order of operations (PEMDAS): first 782*53=41446, then 794+41446=42240. | basic_operations |
11,239 | number_theory | medium | What is the LCM (least common multiple) of 25 and 92? | 2300 | LCM = |25*92| / GCD(25,92). GCD=1, so LCM=2300/1=2300. | lcm |
11,240 | statistics | easy | What is the mean (average) of 75, 86, 70, 3? | 58.5 | Mean = sum/count. Sum = 75+86+70+3=234. Count=4. Mean=234/4=58.5. | mean |
11,241 | calculus | medium | What is the derivative of 3x^8 with respect to x? | 24x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^8] = 3*8*x^7 = 24x^7. | derivative |
11,242 | algebra | medium | Solve for x: x^2 - 2x - 63 = 0 | x = -7, 9 | Factor: (x - -7)(x - 9) = x^2 -(2)x + -63 = 0. So x = -7 or 9. Check sum = 2, product = -63. | quadratic |
11,243 | 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 |
11,244 | statistics | easy | What is the mean (average) of 63, 98, 81, 42, 82? | 73.2 | Mean = sum/count. Sum = 63+98+81+42+82=366. Count=5. Mean=366/5=73.2. | mean |
11,245 | statistics | easy | What is the mean (average) of 84, 71, 19, 100, 90? | 72.8 | Mean = sum/count. Sum = 84+71+19+100+90=364. Count=5. Mean=364/5=72.8. | mean |
11,246 | statistics | easy | What is the mean (average) of 60, 55, 32? | 49 | Mean = sum/count. Sum = 60+55+32=147. Count=3. Mean=147/3=49.0. | mean |
11,247 | arithmetic | easy | What is 955 + 603 * 61? Remember order of operations. | 37738 | Order of operations (PEMDAS): first 603*61=36783, then 955+36783=37738. | basic_operations |
11,248 | percentages | easy | What is 56% of 866? | 484.96 | Calculate 56/100 * 866 = 0.56*866 = 484.96. | percentages |
11,249 | 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 |
11,250 | statistics | easy | What is the mean (average) of 73, 64, 65, 42, 43? | 57.4 | Mean = sum/count. Sum = 73+64+65+42+43=287. Count=5. Mean=287/5=57.4. | mean |
11,251 | arithmetic | easy | What is 810 + 901? | 1711 | Add the two numbers: 810 + 901 = 1711. | basic_operations |
11,252 | exponents | easy | What is 6^4? | 1296 | 6^4 means multiply 6 by itself 4 times: 6*6*6*6 = 1296. | exponents |
11,253 | arithmetic | easy | What is 52 * 21? | 1092 | Multiply: 52 * 21 = 1092. | basic_operations |
11,254 | arithmetic | easy | What is 703 - 84? | 619 | Subtract: 703 - 84 = 619. | basic_operations |
11,255 | algebra | medium | Solve for x: x^2 + 4x - 12 = 0 | x = -6, 2 | Factor: (x - -6)(x - 2) = x^2 -(-4)x + -12 = 0. So x = -6 or 2. Check sum = -4, product = -12. | quadratic |
11,256 | number_theory | medium | What is the GCD (greatest common divisor) of 19 and 58? | 1 | Find greatest number dividing both 19 and 58. Divisors common, greatest is 1. | gcd |
11,257 | number_theory | medium | What is the GCD (greatest common divisor) of 38 and 50? | 2 | Find greatest number dividing both 38 and 50. Divisors common, greatest is 2. | gcd |
11,258 | arithmetic | easy | What is 11 * 95? | 1045 | Multiply: 11 * 95 = 1045. | basic_operations |
11,259 | statistics | easy | What is the mean (average) of 9, 59, 57? | 41.67 | Mean = sum/count. Sum = 9+59+57=125. Count=3. Mean=125/3=41.67. | mean |
11,260 | 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 |
11,261 | word_problems | easy | If you have 26 dollars and you buy 18 more dollars, how many dollars do you have in total? | 44 | Add initial 26 plus bought 18: 26+18=44. | addition_word |
11,262 | arithmetic | easy | What is 59 + 86 * 76? Remember order of operations. | 6595 | Order of operations (PEMDAS): first 86*76=6536, then 59+6536=6595. | basic_operations |
11,263 | exponents | easy | What is 2^5? | 32 | 2^5 means multiply 2 by itself 5 times: 2*2*2*2*2 = 32. | exponents |
11,264 | roots | easy | What is the square root of 2116? | 46 | Find number that when squared gives 2116. 46*46=2116, so sqrt(2116)=46. | square_roots |
11,265 | roots | easy | What is the square root of 2401? | 49 | Find number that when squared gives 2401. 49*49=2401, so sqrt(2401)=49. | square_roots |
11,266 | fractions | medium | What is 18/2 * 12/8? Give as simplified fraction. | 27/2 | Multiply numerators: 18*12=216. Denominators: 2*8=16. Simplify by gcd 8 to get 27/2. | fraction_operations |
11,267 | calculus | medium | What is the derivative of 10x^4 with respect to x? | 40x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^4] = 10*4*x^3 = 40x^3. | derivative |
11,268 | statistics | easy | What is the mean (average) of 56, 67, 28? | 50.33 | Mean = sum/count. Sum = 56+67+28=151. Count=3. Mean=151/3=50.33. | mean |
11,269 | number_theory | medium | What is the LCM (least common multiple) of 5 and 99? | 495 | LCM = |5*99| / GCD(5,99). GCD=1, so LCM=495/1=495. | lcm |
11,270 | arithmetic | easy | What is 358 + 85? | 443 | Add the two numbers: 358 + 85 = 443. | basic_operations |
11,271 | 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 |
11,272 | algebra | medium | Solve for x: x^2 + 14x + 48 = 0 | x = -8, -6 | Factor: (x - -8)(x - -6) = x^2 -(-14)x + 48 = 0. So x = -8 or -6. Check sum = -14, product = 48. | quadratic |
11,273 | arithmetic | easy | What is 8358 / 42? | 199 | Divide: 8358 ÷ 42 = 199 because 42*199=8358. | division |
11,274 | word_problems | easy | If you have 8 candies and you buy 12 more candies, how many candies do you have in total? | 20 | Add initial 8 plus bought 12: 8+12=20. | addition_word |
11,275 | roots | easy | What is the square root of 225? | 15 | Find number that when squared gives 225. 15*15=225, so sqrt(225)=15. | square_roots |
11,276 | word_problems | easy | If you have 77 books and you buy 36 more books, how many books do you have in total? | 113 | Add initial 77 plus bought 36: 77+36=113. | addition_word |
11,277 | arithmetic | easy | What is 18696 / 38? | 492 | Divide: 18696 ÷ 38 = 492 because 38*492=18696. | division |
11,278 | exponents | easy | What is 3^3? | 27 | 3^3 means multiply 3 by itself 3 times: 3*3*3 = 27. | exponents |
11,279 | statistics | easy | What is the mean (average) of 62, 31, 1? | 31.33 | Mean = sum/count. Sum = 62+31+1=94. Count=3. Mean=94/3=31.33. | mean |
11,280 | 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 |
11,281 | fractions | medium | What is 19/3 * 17/13? Give as simplified fraction. | 323/39 | Multiply numerators: 19*17=323. Denominators: 3*13=39. Simplify by gcd 1 to get 323/39. | fraction_operations |
11,282 | fractions | medium | What is 2/15 * 18/10? Give as simplified fraction. | 6/25 | Multiply numerators: 2*18=36. Denominators: 15*10=150. Simplify by gcd 6 to get 6/25. | fraction_operations |
11,283 | fractions | medium | What is 14/18 - 4/15? Give as simplified fraction. | 23/45 | Common denominator 270. Numerator 210-72=138. So 138/270 simplifies to 23/45. | fraction_operations |
11,284 | algebra | medium | Solve for x: x^2 - 3x - 28 = 0 | x = -4, 7 | Factor: (x - -4)(x - 7) = x^2 -(3)x + -28 = 0. So x = -4 or 7. Check sum = 3, product = -28. | quadratic |
11,285 | calculus | medium | What is the derivative of 6x^5 with respect to x? | 30x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^5] = 6*5*x^4 = 30x^4. | derivative |
11,286 | 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 |
11,287 | 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 |
11,288 | number_theory | medium | What is the LCM (least common multiple) of 45 and 73? | 3285 | LCM = |45*73| / GCD(45,73). GCD=1, so LCM=3285/1=3285. | lcm |
11,289 | word_problems | easy | If you have 36 dollars and you buy 48 more dollars, how many dollars do you have in total? | 84 | Add initial 36 plus bought 48: 36+48=84. | addition_word |
11,290 | exponents | easy | What is 3^2? | 9 | 3^2 means multiply 3 by itself 2 times: 3*3 = 9. | exponents |
11,291 | 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 |
11,292 | word_problems | easy | If you have 66 books and you buy 43 more books, how many books do you have in total? | 109 | Add initial 66 plus bought 43: 66+43=109. | addition_word |
11,293 | number_theory | medium | What is the GCD (greatest common divisor) of 2 and 38? | 2 | Find greatest number dividing both 2 and 38. Divisors common, greatest is 2. | gcd |
11,294 | algebra | medium | Solve for x: x^2 - 7x = 0 | x = 0, 7 | Factor: (x - 0)(x - 7) = x^2 -(7)x + 0 = 0. So x = 0 or 7. Check sum = 7, product = 0. | quadratic |
11,295 | arithmetic | easy | What is 644 - 27? | 617 | Subtract: 644 - 27 = 617. | basic_operations |
11,296 | word_problems | easy | If you have 24 dollars and you buy 14 more dollars, how many dollars do you have in total? | 38 | Add initial 24 plus bought 14: 24+14=38. | addition_word |
11,297 | statistics | easy | What is the mean (average) of 38, 97, 47, 61, 81? | 64.8 | Mean = sum/count. Sum = 38+97+47+61+81=324. Count=5. Mean=324/5=64.8. | mean |
11,298 | algebra | easy | Solve for x: 2x + 17 = -21 | -19 | Subtract 17 from both sides: 2x = -21-17=-38. Then divide by 2: x = -38/2 = -19. | linear_equation |
11,299 | algebra | easy | Solve for x: 10x - 36 = -226 | -19 | Add 36 to both sides: 10x = -226+36=-190. Then x = -190/10 = -19. | linear_equation |
11,300 | exponents | easy | What is 3^4? | 81 | 3^4 means multiply 3 by itself 4 times: 3*3*3*3 = 81. | exponents |
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