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 |
|---|---|---|---|---|---|---|
9,201 | geometry | easy | Find the area of a triangle with base 58 and height 22. | 638 | Area = 0.5*base*height = 0.5*58*22 = 638. | triangle_area |
9,202 | 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 |
9,203 | word_problems | easy | If you have 8 apples and you buy 6 more apples, how many apples do you have in total? | 14 | Add initial 8 plus bought 6: 8+6=14. | addition_word |
9,204 | arithmetic | easy | What is 765 + 211 * 82? Remember order of operations. | 18067 | Order of operations (PEMDAS): first 211*82=17302, then 765+17302=18067. | basic_operations |
9,205 | exponents | easy | What is 11^5? | 161051 | 11^5 means multiply 11 by itself 5 times: 11*11*11*11*11 = 161051. | exponents |
9,206 | number_theory | medium | What is the LCM (least common multiple) of 95 and 92? | 8740 | LCM = |95*92| / GCD(95,92). GCD=1, so LCM=8740/1=8740. | lcm |
9,207 | 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 |
9,208 | arithmetic | easy | What is 12 * 61? | 732 | Multiply: 12 * 61 = 732. | basic_operations |
9,209 | arithmetic | easy | What is 971 + 728? | 1699 | Add the two numbers: 971 + 728 = 1699. | basic_operations |
9,210 | algebra | easy | Solve for x: 16x + 27 = -37 | -4 | Subtract 27 from both sides: 16x = -37-27=-64. Then divide by 16: x = -64/16 = -4. | linear_equation |
9,211 | fractions | medium | What is 15/15 + 8/18? Give as simplified fraction. | 13/9 | Common denominator 15*18=270. 15/15=270/270, 8/18=120/270. Sum = 390/270 = 13/9 simplified. | fraction_operations |
9,212 | statistics | easy | What is the mean (average) of 75, 6, 27, 28? | 34 | Mean = sum/count. Sum = 75+6+27+28=136. Count=4. Mean=136/4=34.0. | mean |
9,213 | arithmetic | easy | What is 1892 / 22? | 86 | Divide: 1892 ÷ 22 = 86 because 22*86=1892. | division |
9,214 | roots | easy | What is the square root of 289? | 17 | Find number that when squared gives 289. 17*17=289, so sqrt(289)=17. | square_roots |
9,215 | arithmetic | easy | What is 952 + 901 * 57? Remember order of operations. | 52309 | Order of operations (PEMDAS): first 901*57=51357, then 952+51357=52309. | basic_operations |
9,216 | fractions | medium | What is 4/11 - 17/8? Give as simplified fraction. | -155/88 | Common denominator 88. Numerator 32-187=-155. So -155/88 simplifies to -155/88. | fraction_operations |
9,217 | word_problems | easy | If you have 44 candies and you buy 30 more candies, how many candies do you have in total? | 74 | Add initial 44 plus bought 30: 44+30=74. | addition_word |
9,218 | statistics | easy | What is the mean (average) of 1, 59, 3, 29? | 23 | Mean = sum/count. Sum = 1+59+3+29=92. Count=4. Mean=92/4=23.0. | mean |
9,219 | calculus | medium | What is the derivative of 7x^5 with respect to x? | 35x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^5] = 7*5*x^4 = 35x^4. | derivative |
9,220 | number_theory | medium | What is the GCD (greatest common divisor) of 52 and 2? | 2 | Find greatest number dividing both 52 and 2. Divisors common, greatest is 2. | gcd |
9,221 | word_problems | easy | If you have 53 books and you buy 46 more books, how many books do you have in total? | 99 | Add initial 53 plus bought 46: 53+46=99. | addition_word |
9,222 | algebra | medium | Solve for x: x^2 - 1x - 42 = 0 | x = 7, -6 | Factor: (x - 7)(x - -6) = x^2 -(1)x + -42 = 0. So x = 7 or -6. Check sum = 1, product = -42. | quadratic |
9,223 | arithmetic | easy | What is 10100 / 25? | 404 | Divide: 10100 ÷ 25 = 404 because 25*404=10100. | division |
9,224 | arithmetic | easy | What is 32328 divided by 76? Give answer to 2 decimal places. | 425.37 | Calculate 32328/ 76 = 425.3684, rounded to 2 decimals is 425.37. | division |
9,225 | algebra | medium | Solve for x: x^2 - 12x + 35 = 0 | x = 5, 7 | Factor: (x - 5)(x - 7) = x^2 -(12)x + 35 = 0. So x = 5 or 7. Check sum = 12, product = 35. | quadratic |
9,226 | geometry | easy | Find the circumference of a circle with radius 9. Use pi=3.14159, round to 2 decimals. | 56.55 | Circumference = 2*pi*r = 2*3.14159*9 = 56.55. | circle_circum |
9,227 | calculus | medium | What is the indefinite integral of x^3 dx? | x^4/4 + C | Power rule for integration: integral x^n dx = x^(n+1)/(n+1) + C. So integral x^3 = x^4/4 + C. | integral |
9,228 | fractions | medium | What is 20/8 - 7/2? Give as simplified fraction. | -1 | Common denominator 16. Numerator 40-56=-16. So -16/16 simplifies to -1. | fraction_operations |
9,229 | number_theory | medium | What is the LCM (least common multiple) of 83 and 76? | 6308 | LCM = |83*76| / GCD(83,76). GCD=1, so LCM=6308/1=6308. | lcm |
9,230 | algebra | medium | Solve for x: x^2 + 7x - 18 = 0 | x = -9, 2 | Factor: (x - -9)(x - 2) = x^2 -(-7)x + -18 = 0. So x = -9 or 2. Check sum = -7, product = -18. | quadratic |
9,231 | 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 |
9,232 | arithmetic | easy | What is 909 - 280? | 629 | Subtract: 909 - 280 = 629. | basic_operations |
9,233 | arithmetic | easy | What is 2600 / 25? | 104 | Divide: 2600 ÷ 25 = 104 because 25*104=2600. | division |
9,234 | fractions | medium | What is 11/18 * 9/20? Give as simplified fraction. | 11/40 | Multiply numerators: 11*9=99. Denominators: 18*20=360. Simplify by gcd 9 to get 11/40. | fraction_operations |
9,235 | arithmetic | easy | What is 40 * 56? | 2240 | Multiply: 40 * 56 = 2240. | basic_operations |
9,236 | algebra | easy | Solve for x: 9x - 27 = -144 | -13 | Add 27 to both sides: 9x = -144+27=-117. Then x = -117/9 = -13. | linear_equation |
9,237 | arithmetic | easy | What is 894 + 399? | 1293 | Add the two numbers: 894 + 399 = 1293. | basic_operations |
9,238 | arithmetic | easy | What is 486 + 776? | 1262 | Add the two numbers: 486 + 776 = 1262. | basic_operations |
9,239 | percentages | easy | What is 49% of 259? | 126.91 | Calculate 49/100 * 259 = 0.49*259 = 126.91. | percentages |
9,240 | arithmetic | easy | What is 4236 / 12? | 353 | Divide: 4236 ÷ 12 = 353 because 12*353=4236. | division |
9,241 | number_theory | medium | What is the LCM (least common multiple) of 47 and 95? | 4465 | LCM = |47*95| / GCD(47,95). GCD=1, so LCM=4465/1=4465. | lcm |
9,242 | geometry | easy | Find the perimeter of a rectangle with length 10 and width 80. | 180 | Perimeter = 2*(length+width) = 2*(10+80) = 2*90 = 180. | rectangle_perim |
9,243 | percentages | easy | What is 64% of 588? | 376.32 | Calculate 64/100 * 588 = 0.64*588 = 376.32. | percentages |
9,244 | fractions | medium | What is 4/8 * 14/8? Give as simplified fraction. | 7/8 | Multiply numerators: 4*14=56. Denominators: 8*8=64. Simplify by gcd 8 to get 7/8. | fraction_operations |
9,245 | 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 |
9,246 | statistics | easy | What is the mean (average) of 63, 52, 60? | 58.33 | Mean = sum/count. Sum = 63+52+60=175. Count=3. Mean=175/3=58.33. | mean |
9,247 | 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 |
9,248 | statistics | easy | What is the mean (average) of 63, 47, 73, 27? | 52.5 | Mean = sum/count. Sum = 63+47+73+27=210. Count=4. Mean=210/4=52.5. | mean |
9,249 | number_theory | medium | What is the GCD (greatest common divisor) of 72 and 55? | 1 | Find greatest number dividing both 72 and 55. Divisors common, greatest is 1. | gcd |
9,250 | fractions | medium | What is 10/4 * 16/10? Give as simplified fraction. | 4 | Multiply numerators: 10*16=160. Denominators: 4*10=40. Simplify by gcd 40 to get 4. | fraction_operations |
9,251 | arithmetic | easy | What is 4 * 71? | 284 | Multiply: 4 * 71 = 284. | basic_operations |
9,252 | exponents | easy | What is 4^5? | 1024 | 4^5 means multiply 4 by itself 5 times: 4*4*4*4*4 = 1024. | exponents |
9,253 | statistics | easy | What is the mean (average) of 25, 26, 78? | 43 | Mean = sum/count. Sum = 25+26+78=129. Count=3. Mean=129/3=43.0. | mean |
9,254 | arithmetic | easy | What is 831 + 696 * 63? Remember order of operations. | 44679 | Order of operations (PEMDAS): first 696*63=43848, then 831+43848=44679. | basic_operations |
9,255 | arithmetic | easy | What is 34 + 97 * 10? Remember order of operations. | 1004 | Order of operations (PEMDAS): first 97*10=970, then 34+970=1004. | basic_operations |
9,256 | arithmetic | easy | What is 6952 / 44? | 158 | Divide: 6952 ÷ 44 = 158 because 44*158=6952. | division |
9,257 | exponents | easy | What is 6^3? | 216 | 6^3 means multiply 6 by itself 3 times: 6*6*6 = 216. | exponents |
9,258 | fractions | medium | What is 14/10 + 16/7? Give as simplified fraction. | 129/35 | Common denominator 10*7=70. 14/10=98/70, 16/7=160/70. Sum = 258/70 = 129/35 simplified. | fraction_operations |
9,259 | geometry | easy | Find the area of a triangle with base 78 and height 2. | 78 | Area = 0.5*base*height = 0.5*78*2 = 78. | triangle_area |
9,260 | arithmetic | easy | What is 51 * 13? | 663 | Multiply: 51 * 13 = 663. | basic_operations |
9,261 | calculus | medium | What is the derivative of 5x^8 with respect to x? | 40x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^8] = 5*8*x^7 = 40x^7. | derivative |
9,262 | word_problems | easy | If you have 95 apples and you buy 39 more apples, how many apples do you have in total? | 134 | Add initial 95 plus bought 39: 95+39=134. | addition_word |
9,263 | exponents | easy | What is 12^2? | 144 | 12^2 means multiply 12 by itself 2 times: 12*12 = 144. | exponents |
9,264 | 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 |
9,265 | percentages | easy | What is 68% of 678? | 461.04 | Calculate 68/100 * 678 = 0.68*678 = 461.04. | percentages |
9,266 | arithmetic | easy | What is 49 * 60? | 2940 | Multiply: 49 * 60 = 2940. | basic_operations |
9,267 | calculus | medium | What is the derivative of 3x^5 with respect to x? | 15x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^5] = 3*5*x^4 = 15x^4. | derivative |
9,268 | arithmetic | easy | What is 599 + 692 * 51? Remember order of operations. | 35891 | Order of operations (PEMDAS): first 692*51=35292, then 599+35292=35891. | basic_operations |
9,269 | algebra | medium | Solve for x: x^2 - 16 = 0 | x = -4, 4 | Factor: (x - -4)(x - 4) = x^2 -(0)x + -16 = 0. So x = -4 or 4. Check sum = 0, product = -16. | quadratic |
9,270 | algebra | medium | Solve for x: x^2 - 2x - 3 = 0 | x = 3, -1 | Factor: (x - 3)(x - -1) = x^2 -(2)x + -3 = 0. So x = 3 or -1. Check sum = 2, product = -3. | quadratic |
9,271 | percentages | easy | What is 87% of 178? | 154.86 | Calculate 87/100 * 178 = 0.87*178 = 154.86. | percentages |
9,272 | arithmetic | easy | What is 73 * 57? | 4161 | Multiply: 73 * 57 = 4161. | basic_operations |
9,273 | 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 |
9,274 | statistics | easy | What is the mean (average) of 86, 97, 83? | 88.67 | Mean = sum/count. Sum = 86+97+83=266. Count=3. Mean=266/3=88.67. | mean |
9,275 | number_theory | medium | What is the LCM (least common multiple) of 47 and 88? | 4136 | LCM = |47*88| / GCD(47,88). GCD=1, so LCM=4136/1=4136. | lcm |
9,276 | fractions | medium | What is 6/17 + 15/2? Give as simplified fraction. | 267/34 | Common denominator 17*2=34. 6/17=12/34, 15/2=255/34. Sum = 267/34 = 267/34 simplified. | fraction_operations |
9,277 | arithmetic | easy | What is 15308 / 89? | 172 | Divide: 15308 ÷ 89 = 172 because 89*172=15308. | division |
9,278 | word_problems | easy | If you have 91 books and you buy 32 more books, how many books do you have in total? | 123 | Add initial 91 plus bought 32: 91+32=123. | addition_word |
9,279 | algebra | medium | Solve for x: x^2 + 7x - 30 = 0 | x = 3, -10 | Factor: (x - 3)(x - -10) = x^2 -(-7)x + -30 = 0. So x = 3 or -10. Check sum = -7, product = -30. | quadratic |
9,280 | 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 |
9,281 | roots | easy | What is the square root of 729? | 27 | Find number that when squared gives 729. 27*27=729, so sqrt(729)=27. | square_roots |
9,282 | 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 |
9,283 | arithmetic | easy | What is 44 * 87? | 3828 | Multiply: 44 * 87 = 3828. | basic_operations |
9,284 | fractions | medium | What is 12/18 * 13/17? Give as simplified fraction. | 26/51 | Multiply numerators: 12*13=156. Denominators: 18*17=306. Simplify by gcd 6 to get 26/51. | fraction_operations |
9,285 | exponents | easy | What is 5^3? | 125 | 5^3 means multiply 5 by itself 3 times: 5*5*5 = 125. | exponents |
9,286 | calculus | medium | What is the indefinite integral of x^3 dx? | x^4/4 + C | Power rule for integration: integral x^n dx = x^(n+1)/(n+1) + C. So integral x^3 = x^4/4 + C. | integral |
9,287 | geometry | easy | Find the circumference of a circle with radius 4. Use pi=3.14159, round to 2 decimals. | 25.13 | Circumference = 2*pi*r = 2*3.14159*4 = 25.13. | circle_circum |
9,288 | algebra | medium | Solve for x: x^2 + 2x - 8 = 0 | x = 2, -4 | Factor: (x - 2)(x - -4) = x^2 -(-2)x + -8 = 0. So x = 2 or -4. Check sum = -2, product = -8. | quadratic |
9,289 | algebra | easy | Solve for x: 16x + 0 = 176 | 11 | Subtract 0 from both sides: 16x = 176-0=176. Then divide by 16: x = 176/16 = 11. | linear_equation |
9,290 | 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 |
9,291 | number_theory | medium | What is the LCM (least common multiple) of 77 and 51? | 3927 | LCM = |77*51| / GCD(77,51). GCD=1, so LCM=3927/1=3927. | lcm |
9,292 | roots | easy | What is the square root of 1156? | 34 | Find number that when squared gives 1156. 34*34=1156, so sqrt(1156)=34. | square_roots |
9,293 | word_problems | easy | If you have 88 candies and you buy 48 more candies, how many candies do you have in total? | 136 | Add initial 88 plus bought 48: 88+48=136. | addition_word |
9,294 | 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 |
9,295 | geometry | easy | Find the circumference of a circle with radius 48. Use pi=3.14159, round to 2 decimals. | 301.59 | Circumference = 2*pi*r = 2*3.14159*48 = 301.59. | circle_circum |
9,296 | arithmetic | easy | What is 31 * 36? | 1116 | Multiply: 31 * 36 = 1116. | basic_operations |
9,297 | geometry | easy | Find the area of a circle with radius 42. Use pi=3.14159, round to 2 decimals. | 5541.77 | Area = pi*r^2 = 3.14159*42^2 = 3.14159*1764 = 5541.77. | circle_area |
9,298 | arithmetic | easy | What is 735 + 654 * 17? Remember order of operations. | 11853 | Order of operations (PEMDAS): first 654*17=11118, then 735+11118=11853. | basic_operations |
9,299 | number_theory | medium | What is the LCM (least common multiple) of 31 and 57? | 1767 | LCM = |31*57| / GCD(31,57). GCD=1, so LCM=1767/1=1767. | lcm |
9,300 | algebra | medium | Solve for x: x^2 - 19x + 90 = 0 | x = 9, 10 | Factor: (x - 9)(x - 10) = x^2 -(19)x + 90 = 0. So x = 9 or 10. Check sum = 19, product = 90. | quadratic |
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