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 |
|---|---|---|---|---|---|---|
201 | arithmetic | easy | What is 884 divided by 3? Give answer to 2 decimal places. | 294.67 | Calculate 884/ 3 = 294.6667, rounded to 2 decimals is 294.67. | division |
202 | statistics | easy | What is the mean (average) of 44, 24, 7, 33? | 27 | Mean = sum/count. Sum = 44+24+7+33=108. Count=4. Mean=108/4=27.0. | mean |
203 | statistics | easy | What is the mean (average) of 9, 52, 63? | 41.33 | Mean = sum/count. Sum = 9+52+63=124. Count=3. Mean=124/3=41.33. | mean |
204 | arithmetic | easy | What is 591 + 645 * 88? Remember order of operations. | 57351 | Order of operations (PEMDAS): first 645*88=56760, then 591+56760=57351. | basic_operations |
205 | exponents | easy | What is 3^3? | 27 | 3^3 means multiply 3 by itself 3 times: 3*3*3 = 27. | exponents |
206 | arithmetic | easy | What is 28616 / 73? | 392 | Divide: 28616 ÷ 73 = 392 because 73*392=28616. | division |
207 | 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 |
208 | exponents | easy | What is 11^5? | 161051 | 11^5 means multiply 11 by itself 5 times: 11*11*11*11*11 = 161051. | exponents |
209 | exponents | easy | What is 11^2? | 121 | 11^2 means multiply 11 by itself 2 times: 11*11 = 121. | exponents |
210 | arithmetic | easy | What is 10593 / 99? | 107 | Divide: 10593 ÷ 99 = 107 because 99*107=10593. | division |
211 | geometry | easy | Find the area of a rectangle with length 21 and width 31. | 651 | Area = length * width = 21*31 = 651. | rectangle_area |
212 | algebra | medium | Solve for x: x^2 + 1x - 56 = 0 | x = 7, -8 | Factor: (x - 7)(x - -8) = x^2 -(-1)x + -56 = 0. So x = 7 or -8. Check sum = -1, product = -56. | quadratic |
213 | 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 |
214 | word_problems | easy | If you have 93 candies and you buy 39 more candies, how many candies do you have in total? | 132 | Add initial 93 plus bought 39: 93+39=132. | addition_word |
215 | exponents | easy | What is 2^3? | 8 | 2^3 means multiply 2 by itself 3 times: 2*2*2 = 8. | exponents |
216 | exponents | easy | What is 6^5? | 7776 | 6^5 means multiply 6 by itself 5 times: 6*6*6*6*6 = 7776. | exponents |
217 | arithmetic | easy | What is 76 * 85? | 6460 | Multiply: 76 * 85 = 6460. | basic_operations |
218 | fractions | medium | What is 14/5 * 18/9? Give as simplified fraction. | 28/5 | Multiply numerators: 14*18=252. Denominators: 5*9=45. Simplify by gcd 9 to get 28/5. | fraction_operations |
219 | algebra | easy | Solve for x: 9x - 32 = -176 | -16 | Add 32 to both sides: 9x = -176+32=-144. Then x = -144/9 = -16. | linear_equation |
220 | arithmetic | easy | What is 96 * 73? | 7008 | Multiply: 96 * 73 = 7008. | basic_operations |
221 | word_problems | easy | If you have 20 dollars and you buy 30 more dollars, how many dollars do you have in total? | 50 | Add initial 20 plus bought 30: 20+30=50. | addition_word |
222 | calculus | medium | What is the derivative of 9x^4 with respect to x? | 36x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^4] = 9*4*x^3 = 36x^3. | derivative |
223 | statistics | easy | What is the mean (average) of 11, 77, 6, 56? | 37.5 | Mean = sum/count. Sum = 11+77+6+56=150. Count=4. Mean=150/4=37.5. | mean |
224 | roots | easy | What is the square root of 1521? | 39 | Find number that when squared gives 1521. 39*39=1521, so sqrt(1521)=39. | square_roots |
225 | geometry | easy | Find the area of a rectangle with length 12 and width 30. | 360 | Area = length * width = 12*30 = 360. | rectangle_area |
226 | arithmetic | easy | What is 6 * 98? | 588 | Multiply: 6 * 98 = 588. | basic_operations |
227 | statistics | easy | What is the mean (average) of 84, 57, 36, 24, 75? | 55.2 | Mean = sum/count. Sum = 84+57+36+24+75=276. Count=5. Mean=276/5=55.2. | mean |
228 | 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 |
229 | statistics | easy | What is the mean (average) of 61, 45, 53? | 53 | Mean = sum/count. Sum = 61+45+53=159. Count=3. Mean=159/3=53.0. | mean |
230 | roots | easy | What is the square root of 441? | 21 | Find number that when squared gives 441. 21*21=441, so sqrt(441)=21. | square_roots |
231 | arithmetic | easy | What is 3732 divided by 22? Give answer to 2 decimal places. | 169.64 | Calculate 3732/ 22 = 169.6364, rounded to 2 decimals is 169.64. | division |
232 | exponents | easy | What is 12^5? | 248832 | 12^5 means multiply 12 by itself 5 times: 12*12*12*12*12 = 248832. | exponents |
233 | arithmetic | easy | What is 466 - 91? | 375 | Subtract: 466 - 91 = 375. | basic_operations |
234 | calculus | medium | What is the derivative of 9x^8 with respect to x? | 72x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^8] = 9*8*x^7 = 72x^7. | derivative |
235 | arithmetic | easy | What is 891 - 674? | 217 | Subtract: 891 - 674 = 217. | basic_operations |
236 | fractions | medium | What is 17/13 * 20/17? Give as simplified fraction. | 20/13 | Multiply numerators: 17*20=340. Denominators: 13*17=221. Simplify by gcd 17 to get 20/13. | fraction_operations |
237 | word_problems | easy | If you have 11 dollars and you buy 14 more dollars, how many dollars do you have in total? | 25 | Add initial 11 plus bought 14: 11+14=25. | addition_word |
238 | algebra | easy | Solve for x: 10x + 6 = 116 | 11 | Subtract 6 from both sides: 10x = 116-6=110. Then divide by 10: x = 110/10 = 11. | linear_equation |
239 | arithmetic | easy | What is 2495 / 5? | 499 | Divide: 2495 ÷ 5 = 499 because 5*499=2495. | division |
240 | exponents | easy | What is 10^2? | 100 | 10^2 means multiply 10 by itself 2 times: 10*10 = 100. | exponents |
241 | 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 |
242 | percentages | easy | What is 15% of 473? | 70.95 | Calculate 15/100 * 473 = 0.15*473 = 70.95. | percentages |
243 | arithmetic | easy | What is 35888 divided by 84? Give answer to 2 decimal places. | 427.24 | Calculate 35888/ 84 = 427.2381, rounded to 2 decimals is 427.24. | division |
244 | exponents | easy | What is 10^4? | 10000 | 10^4 means multiply 10 by itself 4 times: 10*10*10*10 = 10000. | exponents |
245 | 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 |
246 | statistics | easy | What is the mean (average) of 32, 59, 71, 19? | 45.25 | Mean = sum/count. Sum = 32+59+71+19=181. Count=4. Mean=181/4=45.25. | mean |
247 | calculus | medium | What is the derivative of 10x^3 with respect to x? | 30x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^3] = 10*3*x^2 = 30x^2. | derivative |
248 | algebra | easy | Solve for x: 3x - 15 = 3 | 6 | Add 15 to both sides: 3x = 3+15=18. Then x = 18/3 = 6. | linear_equation |
249 | 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 |
250 | geometry | easy | Find the area of a rectangle with length 37 and width 93. | 3441 | Area = length * width = 37*93 = 3441. | rectangle_area |
251 | exponents | easy | What is 11^5? | 161051 | 11^5 means multiply 11 by itself 5 times: 11*11*11*11*11 = 161051. | exponents |
252 | algebra | easy | Solve for x: 15x + 18 = 168 | 10 | Subtract 18 from both sides: 15x = 168-18=150. Then divide by 15: x = 150/15 = 10. | linear_equation |
253 | number_theory | medium | What is the LCM (least common multiple) of 43 and 71? | 3053 | LCM = |43*71| / GCD(43,71). GCD=1, so LCM=3053/1=3053. | lcm |
254 | word_problems | easy | If you have 46 books and you buy 13 more books, how many books do you have in total? | 59 | Add initial 46 plus bought 13: 46+13=59. | addition_word |
255 | calculus | medium | What is the derivative of 7x^3 with respect to x? | 21x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^3] = 7*3*x^2 = 21x^2. | derivative |
256 | arithmetic | easy | What is 49 * 50? | 2450 | Multiply: 49 * 50 = 2450. | basic_operations |
257 | algebra | easy | Solve for x: 16x - 46 = -238 | -12 | Add 46 to both sides: 16x = -238+46=-192. Then x = -192/16 = -12. | linear_equation |
258 | roots | easy | What is the square root of 49? | 7 | Find number that when squared gives 49. 7*7=49, so sqrt(49)=7. | square_roots |
259 | word_problems | easy | If you have 17 candies and you buy 34 more candies, how many candies do you have in total? | 51 | Add initial 17 plus bought 34: 17+34=51. | addition_word |
260 | arithmetic | easy | What is 20 * 10? | 200 | Multiply: 20 * 10 = 200. | basic_operations |
261 | geometry | easy | Find the area of a circle with radius 40. Use pi=3.14159, round to 2 decimals. | 5026.55 | Area = pi*r^2 = 3.14159*40^2 = 3.14159*1600 = 5026.55. | circle_area |
262 | calculus | medium | What is the derivative of 2x^7 with respect to x? | 14x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^7] = 2*7*x^6 = 14x^6. | derivative |
263 | roots | easy | What is the square root of 1936? | 44 | Find number that when squared gives 1936. 44*44=1936, so sqrt(1936)=44. | square_roots |
264 | calculus | medium | What is the derivative of 8x^4 with respect to x? | 32x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^4] = 8*4*x^3 = 32x^3. | derivative |
265 | arithmetic | easy | What is 88 * 37? | 3256 | Multiply: 88 * 37 = 3256. | basic_operations |
266 | arithmetic | easy | What is 91 * 13? | 1183 | Multiply: 91 * 13 = 1183. | basic_operations |
267 | exponents | easy | What is 2^2? | 4 | 2^2 means multiply 2 by itself 2 times: 2*2 = 4. | exponents |
268 | 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 |
269 | exponents | easy | What is 7^4? | 2401 | 7^4 means multiply 7 by itself 4 times: 7*7*7*7 = 2401. | exponents |
270 | 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 |
271 | percentages | easy | What is 68% of 422? | 286.96 | Calculate 68/100 * 422 = 0.68*422 = 286.96. | percentages |
272 | algebra | medium | Solve for x: x^2 + 10x + 25 = 0 | x = -5 | Factor as (x - -5)^2 = 0, so root is -5 (double root). Sum of roots = -10, product = 25. | quadratic |
273 | arithmetic | easy | What is 88 * 31? | 2728 | Multiply: 88 * 31 = 2728. | basic_operations |
274 | algebra | easy | Solve for x: 8x + 9 = 169 | 20 | Subtract 9 from both sides: 8x = 169-9=160. Then divide by 8: x = 160/8 = 20. | linear_equation |
275 | geometry | easy | Find the circumference of a circle with radius 17. Use pi=3.14159, round to 2 decimals. | 106.81 | Circumference = 2*pi*r = 2*3.14159*17 = 106.81. | circle_circum |
276 | arithmetic | easy | What is 921 - 824? | 97 | Subtract: 921 - 824 = 97. | basic_operations |
277 | algebra | medium | Solve for x: x^2 + 4x - 32 = 0 | x = -8, 4 | Factor: (x - -8)(x - 4) = x^2 -(-4)x + -32 = 0. So x = -8 or 4. Check sum = -4, product = -32. | quadratic |
278 | number_theory | medium | What is the LCM (least common multiple) of 76 and 39? | 2964 | LCM = |76*39| / GCD(76,39). GCD=1, so LCM=2964/1=2964. | lcm |
279 | geometry | easy | Find the circumference of a circle with radius 20. Use pi=3.14159, round to 2 decimals. | 125.66 | Circumference = 2*pi*r = 2*3.14159*20 = 125.66. | circle_circum |
280 | fractions | medium | What is 13/17 - 4/9? Give as simplified fraction. | 49/153 | Common denominator 153. Numerator 117-68=49. So 49/153 simplifies to 49/153. | fraction_operations |
281 | number_theory | medium | What is the LCM (least common multiple) of 74 and 38? | 1406 | LCM = |74*38| / GCD(74,38). GCD=2, so LCM=2812/2=1406. | lcm |
282 | arithmetic | easy | What is 850 + 675 * 51? Remember order of operations. | 35275 | Order of operations (PEMDAS): first 675*51=34425, then 850+34425=35275. | basic_operations |
283 | arithmetic | easy | What is 933 - 621? | 312 | Subtract: 933 - 621 = 312. | basic_operations |
284 | exponents | easy | What is 5^4? | 625 | 5^4 means multiply 5 by itself 4 times: 5*5*5*5 = 625. | exponents |
285 | percentages | easy | What is 82% of 195? | 159.9 | Calculate 82/100 * 195 = 0.82*195 = 159.9. | percentages |
286 | geometry | easy | Find the perimeter of a rectangle with length 81 and width 13. | 188 | Perimeter = 2*(length+width) = 2*(81+13) = 2*94 = 188. | rectangle_perim |
287 | arithmetic | easy | What is 317 + 808? | 1125 | Add the two numbers: 317 + 808 = 1125. | basic_operations |
288 | algebra | easy | Solve for x: 3x - 13 = -13 | 0 | Add 13 to both sides: 3x = -13+13=0. Then x = 0/3 = 0. | linear_equation |
289 | 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 |
290 | fractions | medium | What is 5/19 * 12/18? Give as simplified fraction. | 10/57 | Multiply numerators: 5*12=60. Denominators: 19*18=342. Simplify by gcd 6 to get 10/57. | fraction_operations |
291 | geometry | easy | Find the perimeter of a rectangle with length 33 and width 62. | 190 | Perimeter = 2*(length+width) = 2*(33+62) = 2*95 = 190. | rectangle_perim |
292 | exponents | easy | What is 7^2? | 49 | 7^2 means multiply 7 by itself 2 times: 7*7 = 49. | exponents |
293 | word_problems | easy | If you have 14 books and you buy 10 more books, how many books do you have in total? | 24 | Add initial 14 plus bought 10: 14+10=24. | addition_word |
294 | calculus | medium | What is the derivative of 9x^8 with respect to x? | 72x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^8] = 9*8*x^7 = 72x^7. | derivative |
295 | number_theory | medium | What is the GCD (greatest common divisor) of 12 and 51? | 3 | Find greatest number dividing both 12 and 51. Divisors common, greatest is 3. | gcd |
296 | geometry | easy | Find the area of a triangle with base 16 and height 59. | 472 | Area = 0.5*base*height = 0.5*16*59 = 472. | triangle_area |
297 | number_theory | medium | What is the LCM (least common multiple) of 87 and 96? | 2784 | LCM = |87*96| / GCD(87,96). GCD=3, so LCM=8352/3=2784. | lcm |
298 | calculus | medium | What is the derivative of 6x^8 with respect to x? | 48x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^8] = 6*8*x^7 = 48x^7. | derivative |
299 | arithmetic | easy | What is 10560 / 88? | 120 | Divide: 10560 ÷ 88 = 120 because 88*120=10560. | division |
300 | roots | easy | What is the square root of 1600? | 40 | Find number that when squared gives 1600. 40*40=1600, so sqrt(1600)=40. | square_roots |
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