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 |
|---|---|---|---|---|---|---|
12,201 | arithmetic | easy | What is 9 * 82? | 738 | Multiply: 9 * 82 = 738. | basic_operations |
12,202 | 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 |
12,203 | fractions | medium | What is 2/20 - 13/5? Give as simplified fraction. | -5/2 | Common denominator 100. Numerator 10-260=-250. So -250/100 simplifies to -5/2. | fraction_operations |
12,204 | arithmetic | easy | What is 491 - 115? | 376 | Subtract: 491 - 115 = 376. | basic_operations |
12,205 | calculus | medium | What is the derivative of 1x^6 with respect to x? | 6x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^6] = 1*6*x^5 = 6x^5. | derivative |
12,206 | percentages | easy | What is 56% of 868? | 486.08 | Calculate 56/100 * 868 = 0.56*868 = 486.08. | percentages |
12,207 | word_problems | easy | If you have 12 pencils and you buy 22 more pencils, how many pencils do you have in total? | 34 | Add initial 12 plus bought 22: 12+22=34. | addition_word |
12,208 | arithmetic | easy | What is 276 - 122? | 154 | Subtract: 276 - 122 = 154. | basic_operations |
12,209 | statistics | easy | What is the mean (average) of 78, 56, 87, 26? | 61.75 | Mean = sum/count. Sum = 78+56+87+26=247. Count=4. Mean=247/4=61.75. | mean |
12,210 | arithmetic | easy | What is 23047 divided by 78? Give answer to 2 decimal places. | 295.47 | Calculate 23047/ 78 = 295.4744, rounded to 2 decimals is 295.47. | division |
12,211 | word_problems | easy | If you have 9 pencils and you buy 37 more pencils, how many pencils do you have in total? | 46 | Add initial 9 plus bought 37: 9+37=46. | addition_word |
12,212 | calculus | medium | What is the derivative of 1x^7 with respect to x? | 7x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^7] = 1*7*x^6 = 7x^6. | derivative |
12,213 | word_problems | easy | If you have 39 candies and you buy 40 more candies, how many candies do you have in total? | 79 | Add initial 39 plus bought 40: 39+40=79. | addition_word |
12,214 | arithmetic | easy | What is 66 + 29 * 20? Remember order of operations. | 646 | Order of operations (PEMDAS): first 29*20=580, then 66+580=646. | basic_operations |
12,215 | statistics | easy | What is the mean (average) of 67, 40, 92, 61, 58? | 63.6 | Mean = sum/count. Sum = 67+40+92+61+58=318. Count=5. Mean=318/5=63.6. | mean |
12,216 | algebra | easy | Solve for x: 9x + 49 = -14 | -7 | Subtract 49 from both sides: 9x = -14-49=-63. Then divide by 9: x = -63/9 = -7. | linear_equation |
12,217 | word_problems | easy | If you have 49 candies and you buy 40 more candies, how many candies do you have in total? | 89 | Add initial 49 plus bought 40: 49+40=89. | addition_word |
12,218 | calculus | medium | What is the derivative of 7x^6 with respect to x? | 42x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^6] = 7*6*x^5 = 42x^5. | derivative |
12,219 | algebra | medium | Solve for x: x^2 - 2x - 8 = 0 | x = 4, -2 | Factor: (x - 4)(x - -2) = x^2 -(2)x + -8 = 0. So x = 4 or -2. Check sum = 2, product = -8. | quadratic |
12,220 | algebra | medium | Solve for x: x^2 + 13x + 30 = 0 | x = -3, -10 | Factor: (x - -3)(x - -10) = x^2 -(-13)x + 30 = 0. So x = -3 or -10. Check sum = -13, product = 30. | quadratic |
12,221 | arithmetic | easy | What is 584 + 731? | 1315 | Add the two numbers: 584 + 731 = 1315. | basic_operations |
12,222 | geometry | easy | Find the circumference of a circle with radius 22. Use pi=3.14159, round to 2 decimals. | 138.23 | Circumference = 2*pi*r = 2*3.14159*22 = 138.23. | circle_circum |
12,223 | number_theory | medium | What is the GCD (greatest common divisor) of 3 and 15? | 3 | Find greatest number dividing both 3 and 15. Divisors common, greatest is 3. | gcd |
12,224 | fractions | medium | What is 13/16 + 5/4? Give as simplified fraction. | 33/16 | Common denominator 16*4=64. 13/16=52/64, 5/4=80/64. Sum = 132/64 = 33/16 simplified. | fraction_operations |
12,225 | 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 |
12,226 | word_problems | easy | If you have 98 apples and you buy 34 more apples, how many apples do you have in total? | 132 | Add initial 98 plus bought 34: 98+34=132. | addition_word |
12,227 | geometry | easy | Find the area of a rectangle with length 69 and width 21. | 1449 | Area = length * width = 69*21 = 1449. | rectangle_area |
12,228 | algebra | medium | Solve for x: x^2 - 1x - 2 = 0 | x = -1, 2 | Factor: (x - -1)(x - 2) = x^2 -(1)x + -2 = 0. So x = -1 or 2. Check sum = 1, product = -2. | quadratic |
12,229 | exponents | easy | What is 11^2? | 121 | 11^2 means multiply 11 by itself 2 times: 11*11 = 121. | exponents |
12,230 | percentages | easy | What is 58% of 82? | 47.56 | Calculate 58/100 * 82 = 0.58*82 = 47.56. | percentages |
12,231 | 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 |
12,232 | 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 |
12,233 | geometry | easy | Find the perimeter of a rectangle with length 85 and width 28. | 226 | Perimeter = 2*(length+width) = 2*(85+28) = 2*113 = 226. | rectangle_perim |
12,234 | arithmetic | easy | What is 22822 divided by 49? Give answer to 2 decimal places. | 465.76 | Calculate 22822/ 49 = 465.7551, rounded to 2 decimals is 465.76. | division |
12,235 | percentages | easy | What is 61% of 552? | 336.72 | Calculate 61/100 * 552 = 0.61*552 = 336.72. | percentages |
12,236 | arithmetic | easy | What is 79 * 9? | 711 | Multiply: 79 * 9 = 711. | basic_operations |
12,237 | arithmetic | easy | What is 3 + 4 * 49? Remember order of operations. | 199 | Order of operations (PEMDAS): first 4*49=196, then 3+196=199. | basic_operations |
12,238 | word_problems | easy | If you have 81 dollars and you buy 4 more dollars, how many dollars do you have in total? | 85 | Add initial 81 plus bought 4: 81+4=85. | addition_word |
12,239 | 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 |
12,240 | exponents | easy | What is 6^4? | 1296 | 6^4 means multiply 6 by itself 4 times: 6*6*6*6 = 1296. | exponents |
12,241 | arithmetic | easy | What is 9 + 43 * 88? Remember order of operations. | 3793 | Order of operations (PEMDAS): first 43*88=3784, then 9+3784=3793. | basic_operations |
12,242 | percentages | easy | What is 79% of 262? | 206.98 | Calculate 79/100 * 262 = 0.79*262 = 206.98. | percentages |
12,243 | algebra | easy | Solve for x: 16x + 21 = 277 | 16 | Subtract 21 from both sides: 16x = 277-21=256. Then divide by 16: x = 256/16 = 16. | linear_equation |
12,244 | arithmetic | easy | What is 887 + 721? | 1608 | Add the two numbers: 887 + 721 = 1608. | basic_operations |
12,245 | algebra | medium | Solve for x: x^2 - 10x + 21 = 0 | x = 3, 7 | Factor: (x - 3)(x - 7) = x^2 -(10)x + 21 = 0. So x = 3 or 7. Check sum = 10, product = 21. | quadratic |
12,246 | arithmetic | easy | What is 639 - 22? | 617 | Subtract: 639 - 22 = 617. | basic_operations |
12,247 | arithmetic | easy | What is 656 + 433? | 1089 | Add the two numbers: 656 + 433 = 1089. | basic_operations |
12,248 | exponents | easy | What is 6^2? | 36 | 6^2 means multiply 6 by itself 2 times: 6*6 = 36. | exponents |
12,249 | 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 |
12,250 | 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 |
12,251 | calculus | medium | What is the derivative of 2x^2 with respect to x? | 4x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^2] = 2*2*x^1 = 4x. | derivative |
12,252 | statistics | easy | What is the mean (average) of 88, 20, 78, 36? | 55.5 | Mean = sum/count. Sum = 88+20+78+36=222. Count=4. Mean=222/4=55.5. | mean |
12,253 | 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 |
12,254 | statistics | easy | What is the mean (average) of 72, 4, 44? | 40 | Mean = sum/count. Sum = 72+4+44=120. Count=3. Mean=120/3=40.0. | mean |
12,255 | number_theory | medium | What is the LCM (least common multiple) of 71 and 20? | 1420 | LCM = |71*20| / GCD(71,20). GCD=1, so LCM=1420/1=1420. | lcm |
12,256 | arithmetic | easy | What is 639 - 262? | 377 | Subtract: 639 - 262 = 377. | basic_operations |
12,257 | roots | easy | What is the square root of 2025? | 45 | Find number that when squared gives 2025. 45*45=2025, so sqrt(2025)=45. | square_roots |
12,258 | statistics | easy | What is the mean (average) of 37, 1, 5? | 14.33 | Mean = sum/count. Sum = 37+1+5=43. Count=3. Mean=43/3=14.33. | mean |
12,259 | percentages | easy | What is 8% of 203? | 16.24 | Calculate 8/100 * 203 = 0.08*203 = 16.24. | percentages |
12,260 | arithmetic | easy | What is 53 * 12? | 636 | Multiply: 53 * 12 = 636. | basic_operations |
12,261 | 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 |
12,262 | algebra | easy | Solve for x: 10x + 28 = 18 | -1 | Subtract 28 from both sides: 10x = 18-28=-10. Then divide by 10: x = -10/10 = -1. | linear_equation |
12,263 | word_problems | easy | If you have 58 apples and you buy 17 more apples, how many apples do you have in total? | 75 | Add initial 58 plus bought 17: 58+17=75. | addition_word |
12,264 | geometry | easy | Find the area of a triangle with base 45 and height 65. | 1462.5 | Area = 0.5*base*height = 0.5*45*65 = 1462.5. | triangle_area |
12,265 | fractions | medium | What is 6/13 + 3/20? Give as simplified fraction. | 159/260 | Common denominator 13*20=260. 6/13=120/260, 3/20=39/260. Sum = 159/260 = 159/260 simplified. | fraction_operations |
12,266 | arithmetic | easy | What is 11 + 140 * 52? Remember order of operations. | 7291 | Order of operations (PEMDAS): first 140*52=7280, then 11+7280=7291. | basic_operations |
12,267 | algebra | easy | Solve for x: 5x + 6 = 61 | 11 | Subtract 6 from both sides: 5x = 61-6=55. Then divide by 5: x = 55/5 = 11. | linear_equation |
12,268 | statistics | easy | What is the mean (average) of 69, 42, 74? | 61.67 | Mean = sum/count. Sum = 69+42+74=185. Count=3. Mean=185/3=61.67. | mean |
12,269 | exponents | easy | What is 12^3? | 1728 | 12^3 means multiply 12 by itself 3 times: 12*12*12 = 1728. | exponents |
12,270 | 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 |
12,271 | algebra | medium | Solve for x: x^2 - 6x - 27 = 0 | x = -3, 9 | Factor: (x - -3)(x - 9) = x^2 -(6)x + -27 = 0. So x = -3 or 9. Check sum = 6, product = -27. | quadratic |
12,272 | number_theory | medium | What is the LCM (least common multiple) of 95 and 48? | 4560 | LCM = |95*48| / GCD(95,48). GCD=1, so LCM=4560/1=4560. | lcm |
12,273 | fractions | medium | What is 9/10 + 18/7? Give as simplified fraction. | 243/70 | Common denominator 10*7=70. 9/10=63/70, 18/7=180/70. Sum = 243/70 = 243/70 simplified. | fraction_operations |
12,274 | percentages | easy | What is 67% of 649? | 434.83 | Calculate 67/100 * 649 = 0.67*649 = 434.83. | percentages |
12,275 | arithmetic | easy | What is 44 * 62? | 2728 | Multiply: 44 * 62 = 2728. | basic_operations |
12,276 | geometry | easy | Find the area of a rectangle with length 87 and width 48. | 4176 | Area = length * width = 87*48 = 4176. | rectangle_area |
12,277 | arithmetic | easy | What is 8932 / 28? | 319 | Divide: 8932 ÷ 28 = 319 because 28*319=8932. | division |
12,278 | number_theory | medium | What is the GCD (greatest common divisor) of 32 and 21? | 1 | Find greatest number dividing both 32 and 21. Divisors common, greatest is 1. | gcd |
12,279 | statistics | easy | What is the mean (average) of 2, 65, 98, 28? | 48.25 | Mean = sum/count. Sum = 2+65+98+28=193. Count=4. Mean=193/4=48.25. | mean |
12,280 | statistics | easy | What is the mean (average) of 16, 60, 41? | 39 | Mean = sum/count. Sum = 16+60+41=117. Count=3. Mean=117/3=39.0. | mean |
12,281 | algebra | medium | Solve for x: x^2 + 6x = 0 | x = 0, -6 | Factor: (x - 0)(x - -6) = x^2 -(-6)x + 0 = 0. So x = 0 or -6. Check sum = -6, product = 0. | quadratic |
12,282 | percentages | easy | What is 19% of 286? | 54.34 | Calculate 19/100 * 286 = 0.19*286 = 54.34. | percentages |
12,283 | percentages | easy | What is 33% of 716? | 236.28 | Calculate 33/100 * 716 = 0.33*716 = 236.28. | percentages |
12,284 | algebra | easy | Solve for x: 4x + 44 = 16 | -7 | Subtract 44 from both sides: 4x = 16-44=-28. Then divide by 4: x = -28/4 = -7. | linear_equation |
12,285 | number_theory | medium | What is the LCM (least common multiple) of 95 and 62? | 5890 | LCM = |95*62| / GCD(95,62). GCD=1, so LCM=5890/1=5890. | lcm |
12,286 | roots | easy | What is the square root of 784? | 28 | Find number that when squared gives 784. 28*28=784, so sqrt(784)=28. | square_roots |
12,287 | algebra | medium | Solve for x: x^2 + 3x - 70 = 0 | x = 7, -10 | Factor: (x - 7)(x - -10) = x^2 -(-3)x + -70 = 0. So x = 7 or -10. Check sum = -3, product = -70. | quadratic |
12,288 | statistics | easy | What is the mean (average) of 29, 48, 3? | 26.67 | Mean = sum/count. Sum = 29+48+3=80. Count=3. Mean=80/3=26.67. | mean |
12,289 | arithmetic | easy | What is 42 * 99? | 4158 | Multiply: 42 * 99 = 4158. | basic_operations |
12,290 | arithmetic | easy | What is 915 + 313? | 1228 | Add the two numbers: 915 + 313 = 1228. | basic_operations |
12,291 | exponents | easy | What is 2^5? | 32 | 2^5 means multiply 2 by itself 5 times: 2*2*2*2*2 = 32. | exponents |
12,292 | algebra | medium | Solve for x: x^2 - 8x + 12 = 0 | x = 6, 2 | Factor: (x - 6)(x - 2) = x^2 -(8)x + 12 = 0. So x = 6 or 2. Check sum = 8, product = 12. | quadratic |
12,293 | algebra | medium | Solve for x: x^2 - 2x + 1 = 0 | x = 1 | Factor as (x - 1)^2 = 0, so root is 1 (double root). Sum of roots = 2, product = 1. | quadratic |
12,294 | word_problems | easy | If you have 100 pencils and you buy 12 more pencils, how many pencils do you have in total? | 112 | Add initial 100 plus bought 12: 100+12=112. | addition_word |
12,295 | fractions | medium | What is 15/2 * 14/7? Give as simplified fraction. | 15 | Multiply numerators: 15*14=210. Denominators: 2*7=14. Simplify by gcd 14 to get 15. | fraction_operations |
12,296 | number_theory | medium | What is the GCD (greatest common divisor) of 65 and 60? | 5 | Find greatest number dividing both 65 and 60. Divisors common, greatest is 5. | gcd |
12,297 | 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 |
12,298 | arithmetic | easy | What is 377 + 361? | 738 | Add the two numbers: 377 + 361 = 738. | basic_operations |
12,299 | algebra | easy | Solve for x: 14x - 32 = -144 | -8 | Add 32 to both sides: 14x = -144+32=-112. Then x = -112/14 = -8. | linear_equation |
12,300 | arithmetic | easy | What is 996 - 419? | 577 | Subtract: 996 - 419 = 577. | basic_operations |
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