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 |
|---|---|---|---|---|---|---|
6,201 | arithmetic | easy | What is 6 * 3? | 18 | Multiply: 6 * 3 = 18. | basic_operations |
6,202 | arithmetic | easy | What is 52 + 756? | 808 | Add the two numbers: 52 + 756 = 808. | basic_operations |
6,203 | percentages | easy | What is 48% of 782? | 375.36 | Calculate 48/100 * 782 = 0.48*782 = 375.36. | percentages |
6,204 | fractions | medium | What is 18/7 - 5/7? Give as simplified fraction. | 13/7 | Common denominator 49. Numerator 126-35=91. So 91/49 simplifies to 13/7. | fraction_operations |
6,205 | word_problems | easy | If you have 16 pencils and you buy 6 more pencils, how many pencils do you have in total? | 22 | Add initial 16 plus bought 6: 16+6=22. | addition_word |
6,206 | percentages | easy | What is 49% of 873? | 427.77 | Calculate 49/100 * 873 = 0.49*873 = 427.77. | percentages |
6,207 | arithmetic | easy | What is 712 + 48? | 760 | Add the two numbers: 712 + 48 = 760. | basic_operations |
6,208 | algebra | easy | Solve for x: 15x + 12 = -258 | -18 | Subtract 12 from both sides: 15x = -258-12=-270. Then divide by 15: x = -270/15 = -18. | linear_equation |
6,209 | roots | easy | What is the square root of 676? | 26 | Find number that when squared gives 676. 26*26=676, so sqrt(676)=26. | square_roots |
6,210 | geometry | easy | Find the circumference of a circle with radius 8. Use pi=3.14159, round to 2 decimals. | 50.27 | Circumference = 2*pi*r = 2*3.14159*8 = 50.27. | circle_circum |
6,211 | 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 |
6,212 | arithmetic | easy | What is 486 + 1000? | 1486 | Add the two numbers: 486 + 1000 = 1486. | basic_operations |
6,213 | fractions | medium | What is 17/13 * 1/2? Give as simplified fraction. | 17/26 | Multiply numerators: 17*1=17. Denominators: 13*2=26. Simplify by gcd 1 to get 17/26. | fraction_operations |
6,214 | 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 |
6,215 | word_problems | easy | If you have 27 dollars and you buy 13 more dollars, how many dollars do you have in total? | 40 | Add initial 27 plus bought 13: 27+13=40. | addition_word |
6,216 | 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 |
6,217 | word_problems | easy | If you have 59 books and you buy 43 more books, how many books do you have in total? | 102 | Add initial 59 plus bought 43: 59+43=102. | addition_word |
6,218 | percentages | easy | What is 87% of 114? | 99.18 | Calculate 87/100 * 114 = 0.87*114 = 99.18. | percentages |
6,219 | fractions | medium | What is 7/15 * 4/2? Give as simplified fraction. | 14/15 | Multiply numerators: 7*4=28. Denominators: 15*2=30. Simplify by gcd 2 to get 14/15. | fraction_operations |
6,220 | geometry | easy | Find the area of a circle with radius 46. Use pi=3.14159, round to 2 decimals. | 6647.61 | Area = pi*r^2 = 3.14159*46^2 = 3.14159*2116 = 6647.61. | circle_area |
6,221 | arithmetic | easy | What is 989 + 446? | 1435 | Add the two numbers: 989 + 446 = 1435. | basic_operations |
6,222 | arithmetic | easy | What is 9129 / 51? | 179 | Divide: 9129 ÷ 51 = 179 because 51*179=9129. | division |
6,223 | arithmetic | easy | What is 9797 / 97? | 101 | Divide: 9797 ÷ 97 = 101 because 97*101=9797. | division |
6,224 | word_problems | easy | If you have 65 candies and you buy 43 more candies, how many candies do you have in total? | 108 | Add initial 65 plus bought 43: 65+43=108. | addition_word |
6,225 | number_theory | medium | What is the GCD (greatest common divisor) of 62 and 54? | 2 | Find greatest number dividing both 62 and 54. Divisors common, greatest is 2. | gcd |
6,226 | 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 |
6,227 | fractions | medium | What is 9/11 - 6/3? Give as simplified fraction. | -13/11 | Common denominator 33. Numerator 27-66=-39. So -39/33 simplifies to -13/11. | fraction_operations |
6,228 | 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 |
6,229 | arithmetic | easy | What is 485 + 336? | 821 | Add the two numbers: 485 + 336 = 821. | basic_operations |
6,230 | word_problems | easy | If you have 7 candies and you buy 6 more candies, how many candies do you have in total? | 13 | Add initial 7 plus bought 6: 7+6=13. | addition_word |
6,231 | fractions | medium | What is 6/11 + 6/3? Give as simplified fraction. | 28/11 | Common denominator 11*3=33. 6/11=18/33, 6/3=66/33. Sum = 84/33 = 28/11 simplified. | fraction_operations |
6,232 | exponents | easy | What is 10^3? | 1000 | 10^3 means multiply 10 by itself 3 times: 10*10*10 = 1000. | exponents |
6,233 | word_problems | easy | If you have 44 dollars and you buy 18 more dollars, how many dollars do you have in total? | 62 | Add initial 44 plus bought 18: 44+18=62. | addition_word |
6,234 | arithmetic | easy | What is 788 + 509 * 22? Remember order of operations. | 11986 | Order of operations (PEMDAS): first 509*22=11198, then 788+11198=11986. | basic_operations |
6,235 | 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 |
6,236 | 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 |
6,237 | calculus | medium | What is the derivative of 5x^6 with respect to x? | 30x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^6] = 5*6*x^5 = 30x^5. | derivative |
6,238 | word_problems | easy | If you have 77 apples and you buy 49 more apples, how many apples do you have in total? | 126 | Add initial 77 plus bought 49: 77+49=126. | addition_word |
6,239 | 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 |
6,240 | number_theory | medium | What is the LCM (least common multiple) of 96 and 29? | 2784 | LCM = |96*29| / GCD(96,29). GCD=1, so LCM=2784/1=2784. | lcm |
6,241 | algebra | easy | Solve for x: 14x + 21 = 245 | 16 | Subtract 21 from both sides: 14x = 245-21=224. Then divide by 14: x = 224/14 = 16. | linear_equation |
6,242 | arithmetic | easy | What is 288 + 705 * 60? Remember order of operations. | 42588 | Order of operations (PEMDAS): first 705*60=42300, then 288+42300=42588. | basic_operations |
6,243 | 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 |
6,244 | geometry | easy | Find the area of a rectangle with length 84 and width 2. | 168 | Area = length * width = 84*2 = 168. | rectangle_area |
6,245 | arithmetic | easy | What is 44 * 81? | 3564 | Multiply: 44 * 81 = 3564. | basic_operations |
6,246 | statistics | easy | What is the mean (average) of 35, 23, 12, 51, 93? | 42.8 | Mean = sum/count. Sum = 35+23+12+51+93=214. Count=5. Mean=214/5=42.8. | mean |
6,247 | geometry | easy | Find the perimeter of a rectangle with length 42 and width 100. | 284 | Perimeter = 2*(length+width) = 2*(42+100) = 2*142 = 284. | rectangle_perim |
6,248 | arithmetic | easy | What is 100 * 29? | 2900 | Multiply: 100 * 29 = 2900. | basic_operations |
6,249 | arithmetic | easy | What is 269 + 689? | 958 | Add the two numbers: 269 + 689 = 958. | basic_operations |
6,250 | 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 |
6,251 | arithmetic | easy | What is 4446 / 39? | 114 | Divide: 4446 ÷ 39 = 114 because 39*114=4446. | division |
6,252 | geometry | easy | Find the perimeter of a rectangle with length 59 and width 7. | 132 | Perimeter = 2*(length+width) = 2*(59+7) = 2*66 = 132. | rectangle_perim |
6,253 | calculus | medium | What is the derivative of 7x^7 with respect to x? | 49x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^7] = 7*7*x^6 = 49x^6. | derivative |
6,254 | arithmetic | easy | What is 45 + 54 * 58? Remember order of operations. | 3177 | Order of operations (PEMDAS): first 54*58=3132, then 45+3132=3177. | basic_operations |
6,255 | 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 |
6,256 | word_problems | easy | If you have 21 candies and you buy 44 more candies, how many candies do you have in total? | 65 | Add initial 21 plus bought 44: 21+44=65. | addition_word |
6,257 | percentages | easy | What is 52% of 567? | 294.84 | Calculate 52/100 * 567 = 0.52*567 = 294.84. | percentages |
6,258 | arithmetic | easy | What is 12 * 67? | 804 | Multiply: 12 * 67 = 804. | basic_operations |
6,259 | arithmetic | easy | What is 961 - 62? | 899 | Subtract: 961 - 62 = 899. | basic_operations |
6,260 | algebra | medium | Solve for x: x^2 - 1x - 56 = 0 | x = 8, -7 | Factor: (x - 8)(x - -7) = x^2 -(1)x + -56 = 0. So x = 8 or -7. Check sum = 1, product = -56. | quadratic |
6,261 | arithmetic | easy | What is 796 + 530 * 40? Remember order of operations. | 21996 | Order of operations (PEMDAS): first 530*40=21200, then 796+21200=21996. | basic_operations |
6,262 | word_problems | easy | If you have 88 candies and you buy 36 more candies, how many candies do you have in total? | 124 | Add initial 88 plus bought 36: 88+36=124. | addition_word |
6,263 | arithmetic | easy | What is 1000 - 298? | 702 | Subtract: 1000 - 298 = 702. | basic_operations |
6,264 | 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 |
6,265 | roots | easy | What is the square root of 9? | 3 | Find number that when squared gives 9. 3*3=9, so sqrt(9)=3. | square_roots |
6,266 | percentages | easy | What is 91% of 254? | 231.14 | Calculate 91/100 * 254 = 0.91*254 = 231.14. | percentages |
6,267 | word_problems | easy | If you have 39 pencils and you buy 28 more pencils, how many pencils do you have in total? | 67 | Add initial 39 plus bought 28: 39+28=67. | addition_word |
6,268 | percentages | easy | What is 28% of 28? | 7.84 | Calculate 28/100 * 28 = 0.28*28 = 7.84. | percentages |
6,269 | 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 |
6,270 | fractions | medium | What is 1/14 * 16/5? Give as simplified fraction. | 8/35 | Multiply numerators: 1*16=16. Denominators: 14*5=70. Simplify by gcd 2 to get 8/35. | fraction_operations |
6,271 | algebra | easy | Solve for x: 6x + 44 = -10 | -9 | Subtract 44 from both sides: 6x = -10-44=-54. Then divide by 6: x = -54/6 = -9. | linear_equation |
6,272 | 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 |
6,273 | statistics | easy | What is the mean (average) of 83, 36, 100, 11, 79? | 61.8 | Mean = sum/count. Sum = 83+36+100+11+79=309. Count=5. Mean=309/5=61.8. | mean |
6,274 | arithmetic | easy | What is 83 * 65? | 5395 | Multiply: 83 * 65 = 5395. | basic_operations |
6,275 | fractions | medium | What is 17/12 - 20/3? Give as simplified fraction. | -21/4 | Common denominator 36. Numerator 51-240=-189. So -189/36 simplifies to -21/4. | fraction_operations |
6,276 | statistics | easy | What is the mean (average) of 74, 54, 27? | 51.67 | Mean = sum/count. Sum = 74+54+27=155. Count=3. Mean=155/3=51.67. | mean |
6,277 | exponents | easy | What is 12^3? | 1728 | 12^3 means multiply 12 by itself 3 times: 12*12*12 = 1728. | exponents |
6,278 | statistics | easy | What is the mean (average) of 4, 95, 41, 82? | 55.5 | Mean = sum/count. Sum = 4+95+41+82=222. Count=4. Mean=222/4=55.5. | mean |
6,279 | roots | easy | What is the square root of 4? | 2 | Find number that when squared gives 4. 2*2=4, so sqrt(4)=2. | square_roots |
6,280 | exponents | easy | What is 11^3? | 1331 | 11^3 means multiply 11 by itself 3 times: 11*11*11 = 1331. | exponents |
6,281 | algebra | easy | Solve for x: 4x + 38 = 74 | 9 | Subtract 38 from both sides: 4x = 74-38=36. Then divide by 4: x = 36/4 = 9. | linear_equation |
6,282 | arithmetic | easy | What is 664 - 269? | 395 | Subtract: 664 - 269 = 395. | basic_operations |
6,283 | arithmetic | easy | What is 93 + 57 * 52? Remember order of operations. | 3057 | Order of operations (PEMDAS): first 57*52=2964, then 93+2964=3057. | basic_operations |
6,284 | calculus | medium | What is the derivative of 3x^3 with respect to x? | 9x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^3] = 3*3*x^2 = 9x^2. | derivative |
6,285 | arithmetic | easy | What is 781 + 72? | 853 | Add the two numbers: 781 + 72 = 853. | basic_operations |
6,286 | arithmetic | easy | What is 23 * 99? | 2277 | Multiply: 23 * 99 = 2277. | basic_operations |
6,287 | arithmetic | easy | What is 690 + 581? | 1271 | Add the two numbers: 690 + 581 = 1271. | basic_operations |
6,288 | algebra | easy | Solve for x: 14x + 39 = 39 | 0 | Subtract 39 from both sides: 14x = 39-39=0. Then divide by 14: x = 0/14 = 0. | linear_equation |
6,289 | fractions | medium | What is 8/16 * 3/16? Give as simplified fraction. | 3/32 | Multiply numerators: 8*3=24. Denominators: 16*16=256. Simplify by gcd 8 to get 3/32. | fraction_operations |
6,290 | arithmetic | easy | What is 34 * 22? | 748 | Multiply: 34 * 22 = 748. | basic_operations |
6,291 | exponents | easy | What is 4^2? | 16 | 4^2 means multiply 4 by itself 2 times: 4*4 = 16. | exponents |
6,292 | fractions | medium | What is 19/19 * 8/4? Give as simplified fraction. | 2 | Multiply numerators: 19*8=152. Denominators: 19*4=76. Simplify by gcd 76 to get 2. | fraction_operations |
6,293 | percentages | easy | What is 42% of 310? | 130.2 | Calculate 42/100 * 310 = 0.42*310 = 130.2. | percentages |
6,294 | arithmetic | easy | What is 79 * 54? | 4266 | Multiply: 79 * 54 = 4266. | basic_operations |
6,295 | 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 |
6,296 | arithmetic | easy | What is 632 + 349 * 69? Remember order of operations. | 24713 | Order of operations (PEMDAS): first 349*69=24081, then 632+24081=24713. | basic_operations |
6,297 | number_theory | medium | What is the GCD (greatest common divisor) of 34 and 78? | 2 | Find greatest number dividing both 34 and 78. Divisors common, greatest is 2. | gcd |
6,298 | geometry | easy | Find the perimeter of a rectangle with length 72 and width 66. | 276 | Perimeter = 2*(length+width) = 2*(72+66) = 2*138 = 276. | rectangle_perim |
6,299 | geometry | easy | Find the perimeter of a rectangle with length 7 and width 90. | 194 | Perimeter = 2*(length+width) = 2*(7+90) = 2*97 = 194. | rectangle_perim |
6,300 | algebra | easy | Solve for x: 3x + 9 = 51 | 14 | Subtract 9 from both sides: 3x = 51-9=42. Then divide by 3: x = 42/3 = 14. | linear_equation |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.