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 |
|---|---|---|---|---|---|---|
3,201 | 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 |
3,202 | geometry | easy | Find the area of a rectangle with length 35 and width 63. | 2205 | Area = length * width = 35*63 = 2205. | rectangle_area |
3,203 | percentages | easy | What is 44% of 652? | 286.88 | Calculate 44/100 * 652 = 0.44*652 = 286.88. | percentages |
3,204 | arithmetic | easy | What is 316 + 459? | 775 | Add the two numbers: 316 + 459 = 775. | basic_operations |
3,205 | algebra | medium | Solve for x: x^2 - 3x - 28 = 0 | x = 7, -4 | Factor: (x - 7)(x - -4) = x^2 -(3)x + -28 = 0. So x = 7 or -4. Check sum = 3, product = -28. | quadratic |
3,206 | arithmetic | easy | What is 25040 / 80? | 313 | Divide: 25040 ÷ 80 = 313 because 80*313=25040. | division |
3,207 | arithmetic | easy | What is 974 + 740 * 3? Remember order of operations. | 3194 | Order of operations (PEMDAS): first 740*3=2220, then 974+2220=3194. | basic_operations |
3,208 | roots | easy | What is the square root of 529? | 23 | Find number that when squared gives 529. 23*23=529, so sqrt(529)=23. | square_roots |
3,209 | arithmetic | easy | What is 671 + 51? | 722 | Add the two numbers: 671 + 51 = 722. | basic_operations |
3,210 | fractions | medium | What is 6/19 - 13/9? Give as simplified fraction. | -193/171 | Common denominator 171. Numerator 54-247=-193. So -193/171 simplifies to -193/171. | fraction_operations |
3,211 | algebra | medium | Solve for x: x^2 - 1x = 0 | x = 1, 0 | Factor: (x - 1)(x - 0) = x^2 -(1)x + 0 = 0. So x = 1 or 0. Check sum = 1, product = 0. | quadratic |
3,212 | 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 |
3,213 | percentages | easy | What is 2% of 37? | 0.74 | Calculate 2/100 * 37 = 0.02*37 = 0.74. | percentages |
3,214 | arithmetic | easy | What is 774 + 963? | 1737 | Add the two numbers: 774 + 963 = 1737. | basic_operations |
3,215 | statistics | easy | What is the mean (average) of 21, 37, 39? | 32.33 | Mean = sum/count. Sum = 21+37+39=97. Count=3. Mean=97/3=32.33. | mean |
3,216 | arithmetic | easy | What is 32 + 5 * 99? Remember order of operations. | 527 | Order of operations (PEMDAS): first 5*99=495, then 32+495=527. | basic_operations |
3,217 | arithmetic | easy | What is 16800 / 50? | 336 | Divide: 16800 ÷ 50 = 336 because 50*336=16800. | division |
3,218 | geometry | easy | Find the area of a rectangle with length 10 and width 10. | 100 | Area = length * width = 10*10 = 100. | rectangle_area |
3,219 | 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 |
3,220 | arithmetic | easy | What is 20 * 13? | 260 | Multiply: 20 * 13 = 260. | basic_operations |
3,221 | 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 |
3,222 | exponents | easy | What is 7^5? | 16807 | 7^5 means multiply 7 by itself 5 times: 7*7*7*7*7 = 16807. | exponents |
3,223 | arithmetic | easy | What is 310 + 281 * 59? Remember order of operations. | 16889 | Order of operations (PEMDAS): first 281*59=16579, then 310+16579=16889. | basic_operations |
3,224 | statistics | easy | What is the mean (average) of 38, 55, 12, 29? | 33.5 | Mean = sum/count. Sum = 38+55+12+29=134. Count=4. Mean=134/4=33.5. | mean |
3,225 | 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 |
3,226 | geometry | easy | Find the circumference of a circle with radius 19. Use pi=3.14159, round to 2 decimals. | 119.38 | Circumference = 2*pi*r = 2*3.14159*19 = 119.38. | circle_circum |
3,227 | percentages | easy | What is 49% of 18? | 8.82 | Calculate 49/100 * 18 = 0.49*18 = 8.82. | percentages |
3,228 | statistics | easy | What is the mean (average) of 51, 48, 98, 70, 92? | 71.8 | Mean = sum/count. Sum = 51+48+98+70+92=359. Count=5. Mean=359/5=71.8. | mean |
3,229 | arithmetic | easy | What is 6785 / 59? | 115 | Divide: 6785 ÷ 59 = 115 because 59*115=6785. | division |
3,230 | calculus | medium | What is the derivative of 4x^8 with respect to x? | 32x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^8] = 4*8*x^7 = 32x^7. | derivative |
3,231 | word_problems | easy | If you have 52 pencils and you buy 31 more pencils, how many pencils do you have in total? | 83 | Add initial 52 plus bought 31: 52+31=83. | addition_word |
3,232 | arithmetic | easy | What is 13440 / 84? | 160 | Divide: 13440 ÷ 84 = 160 because 84*160=13440. | division |
3,233 | arithmetic | easy | What is 98 + 575? | 673 | Add the two numbers: 98 + 575 = 673. | basic_operations |
3,234 | statistics | easy | What is the mean (average) of 32, 11, 19, 52, 79? | 38.6 | Mean = sum/count. Sum = 32+11+19+52+79=193. Count=5. Mean=193/5=38.6. | mean |
3,235 | statistics | easy | What is the mean (average) of 93, 73, 98, 30, 8? | 60.4 | Mean = sum/count. Sum = 93+73+98+30+8=302. Count=5. Mean=302/5=60.4. | mean |
3,236 | statistics | easy | What is the mean (average) of 53, 40, 95, 44? | 58 | Mean = sum/count. Sum = 53+40+95+44=232. Count=4. Mean=232/4=58.0. | mean |
3,237 | algebra | easy | Solve for x: 2x - 9 = 23 | 16 | Add 9 to both sides: 2x = 23+9=32. Then x = 32/2 = 16. | linear_equation |
3,238 | 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 |
3,239 | arithmetic | easy | What is 63 * 70? | 4410 | Multiply: 63 * 70 = 4410. | basic_operations |
3,240 | percentages | easy | What is 42% of 473? | 198.66 | Calculate 42/100 * 473 = 0.42*473 = 198.66. | percentages |
3,241 | statistics | easy | What is the mean (average) of 72, 95, 94, 11, 14? | 57.2 | Mean = sum/count. Sum = 72+95+94+11+14=286. Count=5. Mean=286/5=57.2. | mean |
3,242 | 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 |
3,243 | arithmetic | easy | What is 385 + 131 * 97? Remember order of operations. | 13092 | Order of operations (PEMDAS): first 131*97=12707, then 385+12707=13092. | basic_operations |
3,244 | arithmetic | easy | What is 2346 / 23? | 102 | Divide: 2346 ÷ 23 = 102 because 23*102=2346. | division |
3,245 | arithmetic | easy | What is 907 + 435? | 1342 | Add the two numbers: 907 + 435 = 1342. | basic_operations |
3,246 | statistics | easy | What is the mean (average) of 96, 71, 54? | 73.67 | Mean = sum/count. Sum = 96+71+54=221. Count=3. Mean=221/3=73.67. | mean |
3,247 | calculus | medium | What is the derivative of 5x^2 with respect to x? | 10x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^2] = 5*2*x^1 = 10x. | derivative |
3,248 | arithmetic | easy | What is 8607 / 57? | 151 | Divide: 8607 ÷ 57 = 151 because 57*151=8607. | division |
3,249 | 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 |
3,250 | number_theory | medium | What is the GCD (greatest common divisor) of 73 and 84? | 1 | Find greatest number dividing both 73 and 84. Divisors common, greatest is 1. | gcd |
3,251 | algebra | easy | Solve for x: 10x + 16 = -54 | -7 | Subtract 16 from both sides: 10x = -54-16=-70. Then divide by 10: x = -70/10 = -7. | linear_equation |
3,252 | number_theory | medium | What is the LCM (least common multiple) of 67 and 78? | 5226 | LCM = |67*78| / GCD(67,78). GCD=1, so LCM=5226/1=5226. | lcm |
3,253 | statistics | easy | What is the mean (average) of 27, 43, 96, 93? | 64.75 | Mean = sum/count. Sum = 27+43+96+93=259. Count=4. Mean=259/4=64.75. | mean |
3,254 | algebra | easy | Solve for x: 6x + 17 = 77 | 10 | Subtract 17 from both sides: 6x = 77-17=60. Then divide by 6: x = 60/6 = 10. | linear_equation |
3,255 | arithmetic | easy | What is 326 + 427? | 753 | Add the two numbers: 326 + 427 = 753. | basic_operations |
3,256 | arithmetic | easy | What is 320 + 719? | 1039 | Add the two numbers: 320 + 719 = 1039. | basic_operations |
3,257 | word_problems | easy | If you have 47 apples and you buy 7 more apples, how many apples do you have in total? | 54 | Add initial 47 plus bought 7: 47+7=54. | addition_word |
3,258 | word_problems | easy | If you have 81 apples and you buy 11 more apples, how many apples do you have in total? | 92 | Add initial 81 plus bought 11: 81+11=92. | addition_word |
3,259 | number_theory | medium | What is the GCD (greatest common divisor) of 82 and 72? | 2 | Find greatest number dividing both 82 and 72. Divisors common, greatest is 2. | gcd |
3,260 | number_theory | medium | What is the GCD (greatest common divisor) of 81 and 2? | 1 | Find greatest number dividing both 81 and 2. Divisors common, greatest is 1. | gcd |
3,261 | geometry | easy | Find the area of a circle with radius 28. Use pi=3.14159, round to 2 decimals. | 2463.01 | Area = pi*r^2 = 3.14159*28^2 = 3.14159*784 = 2463.01. | circle_area |
3,262 | exponents | easy | What is 7^5? | 16807 | 7^5 means multiply 7 by itself 5 times: 7*7*7*7*7 = 16807. | exponents |
3,263 | geometry | easy | Find the area of a triangle with base 70 and height 83. | 2905 | Area = 0.5*base*height = 0.5*70*83 = 2905. | triangle_area |
3,264 | fractions | medium | What is 3/20 * 5/5? Give as simplified fraction. | 3/20 | Multiply numerators: 3*5=15. Denominators: 20*5=100. Simplify by gcd 5 to get 3/20. | fraction_operations |
3,265 | fractions | medium | What is 9/7 + 9/20? Give as simplified fraction. | 243/140 | Common denominator 7*20=140. 9/7=180/140, 9/20=63/140. Sum = 243/140 = 243/140 simplified. | fraction_operations |
3,266 | algebra | easy | Solve for x: 17x + 25 = 93 | 4 | Subtract 25 from both sides: 17x = 93-25=68. Then divide by 17: x = 68/17 = 4. | linear_equation |
3,267 | roots | easy | What is the square root of 1369? | 37 | Find number that when squared gives 1369. 37*37=1369, so sqrt(1369)=37. | square_roots |
3,268 | geometry | easy | Find the area of a triangle with base 86 and height 61. | 2623 | Area = 0.5*base*height = 0.5*86*61 = 2623. | triangle_area |
3,269 | fractions | medium | What is 6/2 + 8/8? Give as simplified fraction. | 4 | Common denominator 2*8=16. 6/2=48/16, 8/8=16/16. Sum = 64/16 = 4 simplified. | fraction_operations |
3,270 | algebra | easy | Solve for x: 5x - 29 = 21 | 10 | Add 29 to both sides: 5x = 21+29=50. Then x = 50/5 = 10. | linear_equation |
3,271 | arithmetic | easy | What is 332 + 80? | 412 | Add the two numbers: 332 + 80 = 412. | basic_operations |
3,272 | word_problems | easy | If you have 59 candies and you buy 43 more candies, how many candies do you have in total? | 102 | Add initial 59 plus bought 43: 59+43=102. | addition_word |
3,273 | roots | easy | What is the square root of 400? | 20 | Find number that when squared gives 400. 20*20=400, so sqrt(400)=20. | square_roots |
3,274 | arithmetic | easy | What is 9197 divided by 32? Give answer to 2 decimal places. | 287.41 | Calculate 9197/ 32 = 287.4062, rounded to 2 decimals is 287.41. | division |
3,275 | calculus | medium | What is the derivative of 8x^7 with respect to x? | 56x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^7] = 8*7*x^6 = 56x^6. | derivative |
3,276 | number_theory | medium | What is the LCM (least common multiple) of 40 and 67? | 2680 | LCM = |40*67| / GCD(40,67). GCD=1, so LCM=2680/1=2680. | lcm |
3,277 | arithmetic | easy | What is 905 + 620? | 1525 | Add the two numbers: 905 + 620 = 1525. | basic_operations |
3,278 | geometry | easy | Find the perimeter of a rectangle with length 56 and width 72. | 256 | Perimeter = 2*(length+width) = 2*(56+72) = 2*128 = 256. | rectangle_perim |
3,279 | word_problems | easy | If you have 67 dollars and you buy 45 more dollars, how many dollars do you have in total? | 112 | Add initial 67 plus bought 45: 67+45=112. | addition_word |
3,280 | arithmetic | easy | What is 33653 / 73? | 461 | Divide: 33653 ÷ 73 = 461 because 73*461=33653. | division |
3,281 | algebra | medium | Solve for x: x^2 + 9x - 10 = 0 | x = -10, 1 | Factor: (x - -10)(x - 1) = x^2 -(-9)x + -10 = 0. So x = -10 or 1. Check sum = -9, product = -10. | quadratic |
3,282 | word_problems | easy | If you have 90 candies and you buy 23 more candies, how many candies do you have in total? | 113 | Add initial 90 plus bought 23: 90+23=113. | addition_word |
3,283 | fractions | medium | What is 20/19 - 7/14? Give as simplified fraction. | 21/38 | Common denominator 266. Numerator 280-133=147. So 147/266 simplifies to 21/38. | fraction_operations |
3,284 | algebra | medium | Solve for x: x^2 + 14x + 40 = 0 | x = -10, -4 | Factor: (x - -10)(x - -4) = x^2 -(-14)x + 40 = 0. So x = -10 or -4. Check sum = -14, product = 40. | quadratic |
3,285 | word_problems | easy | If you have 51 books and you buy 34 more books, how many books do you have in total? | 85 | Add initial 51 plus bought 34: 51+34=85. | addition_word |
3,286 | arithmetic | easy | What is 601 + 318? | 919 | Add the two numbers: 601 + 318 = 919. | basic_operations |
3,287 | geometry | easy | Find the area of a triangle with base 2 and height 78. | 78 | Area = 0.5*base*height = 0.5*2*78 = 78. | triangle_area |
3,288 | geometry | easy | Find the area of a rectangle with length 83 and width 36. | 2988 | Area = length * width = 83*36 = 2988. | rectangle_area |
3,289 | statistics | easy | What is the mean (average) of 6, 90, 91, 33? | 55 | Mean = sum/count. Sum = 6+90+91+33=220. Count=4. Mean=220/4=55.0. | mean |
3,290 | geometry | easy | Find the area of a rectangle with length 74 and width 4. | 296 | Area = length * width = 74*4 = 296. | rectangle_area |
3,291 | statistics | easy | What is the mean (average) of 81, 59, 63, 23, 61? | 57.4 | Mean = sum/count. Sum = 81+59+63+23+61=287. Count=5. Mean=287/5=57.4. | mean |
3,292 | arithmetic | easy | What is 1140 / 6? | 190 | Divide: 1140 ÷ 6 = 190 because 6*190=1140. | division |
3,293 | algebra | medium | Solve for x: x^2 + 14x + 48 = 0 | x = -6, -8 | Factor: (x - -6)(x - -8) = x^2 -(-14)x + 48 = 0. So x = -6 or -8. Check sum = -14, product = 48. | quadratic |
3,294 | 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 |
3,295 | arithmetic | easy | What is 2052 / 9? | 228 | Divide: 2052 ÷ 9 = 228 because 9*228=2052. | division |
3,296 | arithmetic | easy | What is 10153 / 71? | 143 | Divide: 10153 ÷ 71 = 143 because 71*143=10153. | division |
3,297 | 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 |
3,298 | 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 |
3,299 | algebra | medium | Solve for x: x^2 - 9x + 8 = 0 | x = 8, 1 | Factor: (x - 8)(x - 1) = x^2 -(9)x + 8 = 0. So x = 8 or 1. Check sum = 9, product = 8. | quadratic |
3,300 | arithmetic | easy | What is 964 - 681? | 283 | Subtract: 964 - 681 = 283. | basic_operations |
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