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 |
|---|---|---|---|---|---|---|
9,301 | arithmetic | easy | What is 96 * 68? | 6528 | Multiply: 96 * 68 = 6528. | basic_operations |
9,302 | 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 |
9,303 | geometry | easy | Find the area of a circle with radius 2. Use pi=3.14159, round to 2 decimals. | 12.57 | Area = pi*r^2 = 3.14159*2^2 = 3.14159*4 = 12.57. | circle_area |
9,304 | percentages | easy | What is 57% of 825? | 470.25 | Calculate 57/100 * 825 = 0.57*825 = 470.25. | percentages |
9,305 | number_theory | medium | What is the GCD (greatest common divisor) of 36 and 71? | 1 | Find greatest number dividing both 36 and 71. Divisors common, greatest is 1. | gcd |
9,306 | statistics | easy | What is the mean (average) of 1, 48, 30, 69, 28? | 35.2 | Mean = sum/count. Sum = 1+48+30+69+28=176. Count=5. Mean=176/5=35.2. | mean |
9,307 | fractions | medium | What is 18/13 + 13/20? Give as simplified fraction. | 529/260 | Common denominator 13*20=260. 18/13=360/260, 13/20=169/260. Sum = 529/260 = 529/260 simplified. | fraction_operations |
9,308 | algebra | medium | Solve for x: x^2 - 2x - 63 = 0 | x = 9, -7 | Factor: (x - 9)(x - -7) = x^2 -(2)x + -63 = 0. So x = 9 or -7. Check sum = 2, product = -63. | quadratic |
9,309 | percentages | easy | What is 53% of 616? | 326.48 | Calculate 53/100 * 616 = 0.53*616 = 326.48. | percentages |
9,310 | 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 |
9,311 | arithmetic | easy | What is 714 + 941? | 1655 | Add the two numbers: 714 + 941 = 1655. | basic_operations |
9,312 | word_problems | easy | If you have 31 dollars and you buy 4 more dollars, how many dollars do you have in total? | 35 | Add initial 31 plus bought 4: 31+4=35. | addition_word |
9,313 | arithmetic | easy | What is 361 + 2 * 93? Remember order of operations. | 547 | Order of operations (PEMDAS): first 2*93=186, then 361+186=547. | basic_operations |
9,314 | geometry | easy | Find the area of a rectangle with length 41 and width 14. | 574 | Area = length * width = 41*14 = 574. | rectangle_area |
9,315 | arithmetic | easy | What is 822 - 756? | 66 | Subtract: 822 - 756 = 66. | basic_operations |
9,316 | percentages | easy | What is 69% of 463? | 319.47 | Calculate 69/100 * 463 = 0.69*463 = 319.47. | percentages |
9,317 | 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 |
9,318 | fractions | medium | What is 10/14 * 15/10? Give as simplified fraction. | 15/14 | Multiply numerators: 10*15=150. Denominators: 14*10=140. Simplify by gcd 10 to get 15/14. | fraction_operations |
9,319 | 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 |
9,320 | calculus | medium | What is the derivative of 7x^8 with respect to x? | 56x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^8] = 7*8*x^7 = 56x^7. | derivative |
9,321 | arithmetic | easy | What is 254 + 224 * 18? Remember order of operations. | 4286 | Order of operations (PEMDAS): first 224*18=4032, then 254+4032=4286. | basic_operations |
9,322 | statistics | easy | What is the mean (average) of 15, 43, 77, 19? | 38.5 | Mean = sum/count. Sum = 15+43+77+19=154. Count=4. Mean=154/4=38.5. | mean |
9,323 | arithmetic | easy | What is 37 + 9 * 98? Remember order of operations. | 919 | Order of operations (PEMDAS): first 9*98=882, then 37+882=919. | basic_operations |
9,324 | arithmetic | easy | What is 184 - 22? | 162 | Subtract: 184 - 22 = 162. | basic_operations |
9,325 | statistics | easy | What is the mean (average) of 15, 88, 77, 42, 15? | 47.4 | Mean = sum/count. Sum = 15+88+77+42+15=237. Count=5. Mean=237/5=47.4. | mean |
9,326 | 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 |
9,327 | geometry | easy | Find the area of a triangle with base 60 and height 61. | 1830 | Area = 0.5*base*height = 0.5*60*61 = 1830. | triangle_area |
9,328 | statistics | easy | What is the mean (average) of 67, 26, 31? | 41.33 | Mean = sum/count. Sum = 67+26+31=124. Count=3. Mean=124/3=41.33. | mean |
9,329 | arithmetic | easy | What is 438 + 90 * 34? Remember order of operations. | 3498 | Order of operations (PEMDAS): first 90*34=3060, then 438+3060=3498. | basic_operations |
9,330 | roots | easy | What is the square root of 841? | 29 | Find number that when squared gives 841. 29*29=841, so sqrt(841)=29. | square_roots |
9,331 | number_theory | medium | What is the LCM (least common multiple) of 35 and 91? | 455 | LCM = |35*91| / GCD(35,91). GCD=7, so LCM=3185/7=455. | lcm |
9,332 | fractions | medium | What is 11/2 - 12/7? Give as simplified fraction. | 53/14 | Common denominator 14. Numerator 77-24=53. So 53/14 simplifies to 53/14. | fraction_operations |
9,333 | arithmetic | easy | What is 191 + 779? | 970 | Add the two numbers: 191 + 779 = 970. | basic_operations |
9,334 | statistics | easy | What is the mean (average) of 56, 97, 61, 8? | 55.5 | Mean = sum/count. Sum = 56+97+61+8=222. Count=4. Mean=222/4=55.5. | mean |
9,335 | statistics | easy | What is the mean (average) of 82, 90, 70? | 80.67 | Mean = sum/count. Sum = 82+90+70=242. Count=3. Mean=242/3=80.67. | mean |
9,336 | arithmetic | easy | What is 6776 / 22? | 308 | Divide: 6776 ÷ 22 = 308 because 22*308=6776. | division |
9,337 | calculus | medium | What is the derivative of 4x^2 with respect to x? | 8x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^2] = 4*2*x^1 = 8x. | derivative |
9,338 | arithmetic | easy | What is 1762 divided by 18? Give answer to 2 decimal places. | 97.89 | Calculate 1762/ 18 = 97.8889, rounded to 2 decimals is 97.89. | division |
9,339 | geometry | easy | Find the area of a circle with radius 39. Use pi=3.14159, round to 2 decimals. | 4778.36 | Area = pi*r^2 = 3.14159*39^2 = 3.14159*1521 = 4778.36. | circle_area |
9,340 | exponents | easy | What is 12^2? | 144 | 12^2 means multiply 12 by itself 2 times: 12*12 = 144. | exponents |
9,341 | fractions | medium | What is 8/17 - 14/18? Give as simplified fraction. | -47/153 | Common denominator 306. Numerator 144-238=-94. So -94/306 simplifies to -47/153. | fraction_operations |
9,342 | arithmetic | easy | What is 100 * 2? | 200 | Multiply: 100 * 2 = 200. | basic_operations |
9,343 | arithmetic | easy | What is 777 - 46? | 731 | Subtract: 777 - 46 = 731. | basic_operations |
9,344 | number_theory | medium | What is the LCM (least common multiple) of 16 and 4? | 16 | LCM = |16*4| / GCD(16,4). GCD=4, so LCM=64/4=16. | lcm |
9,345 | geometry | easy | Find the area of a rectangle with length 64 and width 5. | 320 | Area = length * width = 64*5 = 320. | rectangle_area |
9,346 | word_problems | easy | If you have 72 pencils and you buy 14 more pencils, how many pencils do you have in total? | 86 | Add initial 72 plus bought 14: 72+14=86. | addition_word |
9,347 | exponents | easy | What is 9^4? | 6561 | 9^4 means multiply 9 by itself 4 times: 9*9*9*9 = 6561. | exponents |
9,348 | fractions | medium | What is 1/9 - 9/18? Give as simplified fraction. | -7/18 | Common denominator 162. Numerator 18-81=-63. So -63/162 simplifies to -7/18. | fraction_operations |
9,349 | word_problems | easy | If you have 32 dollars and you buy 28 more dollars, how many dollars do you have in total? | 60 | Add initial 32 plus bought 28: 32+28=60. | addition_word |
9,350 | exponents | easy | What is 12^2? | 144 | 12^2 means multiply 12 by itself 2 times: 12*12 = 144. | exponents |
9,351 | exponents | easy | What is 6^3? | 216 | 6^3 means multiply 6 by itself 3 times: 6*6*6 = 216. | exponents |
9,352 | statistics | easy | What is the mean (average) of 66, 8, 79? | 51 | Mean = sum/count. Sum = 66+8+79=153. Count=3. Mean=153/3=51.0. | mean |
9,353 | arithmetic | easy | What is 65 * 32? | 2080 | Multiply: 65 * 32 = 2080. | basic_operations |
9,354 | 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 |
9,355 | percentages | easy | What is 95% of 971? | 922.45 | Calculate 95/100 * 971 = 0.95*971 = 922.45. | percentages |
9,356 | arithmetic | easy | What is 42 * 96? | 4032 | Multiply: 42 * 96 = 4032. | basic_operations |
9,357 | geometry | easy | Find the area of a circle with radius 18. Use pi=3.14159, round to 2 decimals. | 1017.88 | Area = pi*r^2 = 3.14159*18^2 = 3.14159*324 = 1017.88. | circle_area |
9,358 | arithmetic | easy | What is 41 * 96? | 3936 | Multiply: 41 * 96 = 3936. | basic_operations |
9,359 | arithmetic | easy | What is 205 + 191? | 396 | Add the two numbers: 205 + 191 = 396. | basic_operations |
9,360 | number_theory | medium | What is the LCM (least common multiple) of 56 and 1? | 56 | LCM = |56*1| / GCD(56,1). GCD=1, so LCM=56/1=56. | lcm |
9,361 | algebra | easy | Solve for x: 14x + 29 = 295 | 19 | Subtract 29 from both sides: 14x = 295-29=266. Then divide by 14: x = 266/14 = 19. | linear_equation |
9,362 | arithmetic | easy | What is 128 + 762 * 47? Remember order of operations. | 35942 | Order of operations (PEMDAS): first 762*47=35814, then 128+35814=35942. | basic_operations |
9,363 | arithmetic | easy | What is 85 * 80? | 6800 | Multiply: 85 * 80 = 6800. | basic_operations |
9,364 | fractions | medium | What is 8/2 + 20/7? Give as simplified fraction. | 48/7 | Common denominator 2*7=14. 8/2=56/14, 20/7=40/14. Sum = 96/14 = 48/7 simplified. | fraction_operations |
9,365 | number_theory | medium | What is the LCM (least common multiple) of 52 and 46? | 1196 | LCM = |52*46| / GCD(52,46). GCD=2, so LCM=2392/2=1196. | lcm |
9,366 | arithmetic | easy | What is 83 + 76 * 57? Remember order of operations. | 4415 | Order of operations (PEMDAS): first 76*57=4332, then 83+4332=4415. | basic_operations |
9,367 | number_theory | medium | What is the GCD (greatest common divisor) of 36 and 8? | 4 | Find greatest number dividing both 36 and 8. Divisors common, greatest is 4. | gcd |
9,368 | word_problems | easy | If you have 31 apples and you buy 11 more apples, how many apples do you have in total? | 42 | Add initial 31 plus bought 11: 31+11=42. | addition_word |
9,369 | arithmetic | easy | What is 8880 / 20? | 444 | Divide: 8880 ÷ 20 = 444 because 20*444=8880. | division |
9,370 | arithmetic | easy | What is 572 + 1000 * 42? Remember order of operations. | 42572 | Order of operations (PEMDAS): first 1000*42=42000, then 572+42000=42572. | basic_operations |
9,371 | algebra | easy | Solve for x: 7x - 40 = 58 | 14 | Add 40 to both sides: 7x = 58+40=98. Then x = 98/7 = 14. | linear_equation |
9,372 | algebra | easy | Solve for x: 2x + 47 = 55 | 4 | Subtract 47 from both sides: 2x = 55-47=8. Then divide by 2: x = 8/2 = 4. | linear_equation |
9,373 | algebra | easy | Solve for x: 2x - 12 = 14 | 13 | Add 12 to both sides: 2x = 14+12=26. Then x = 26/2 = 13. | linear_equation |
9,374 | arithmetic | easy | What is 1530 / 90? | 17 | Divide: 1530 ÷ 90 = 17 because 90*17=1530. | division |
9,375 | arithmetic | easy | What is 984 - 932? | 52 | Subtract: 984 - 932 = 52. | basic_operations |
9,376 | word_problems | easy | If you have 32 dollars and you buy 34 more dollars, how many dollars do you have in total? | 66 | Add initial 32 plus bought 34: 32+34=66. | addition_word |
9,377 | word_problems | easy | If you have 67 candies and you buy 39 more candies, how many candies do you have in total? | 106 | Add initial 67 plus bought 39: 67+39=106. | addition_word |
9,378 | fractions | medium | What is 19/18 * 5/10? Give as simplified fraction. | 19/36 | Multiply numerators: 19*5=95. Denominators: 18*10=180. Simplify by gcd 5 to get 19/36. | fraction_operations |
9,379 | roots | easy | What is the square root of 1681? | 41 | Find number that when squared gives 1681. 41*41=1681, so sqrt(1681)=41. | square_roots |
9,380 | roots | easy | What is the square root of 256? | 16 | Find number that when squared gives 256. 16*16=256, so sqrt(256)=16. | square_roots |
9,381 | arithmetic | easy | What is 21560 / 49? | 440 | Divide: 21560 ÷ 49 = 440 because 49*440=21560. | division |
9,382 | statistics | easy | What is the mean (average) of 87, 25, 98? | 70 | Mean = sum/count. Sum = 87+25+98=210. Count=3. Mean=210/3=70.0. | mean |
9,383 | algebra | easy | Solve for x: 14x - 15 = -183 | -12 | Add 15 to both sides: 14x = -183+15=-168. Then x = -168/14 = -12. | linear_equation |
9,384 | number_theory | medium | What is the LCM (least common multiple) of 13 and 65? | 65 | LCM = |13*65| / GCD(13,65). GCD=13, so LCM=845/13=65. | lcm |
9,385 | 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 |
9,386 | word_problems | easy | If you have 92 pencils and you buy 27 more pencils, how many pencils do you have in total? | 119 | Add initial 92 plus bought 27: 92+27=119. | addition_word |
9,387 | arithmetic | easy | What is 6 + 32 * 44? Remember order of operations. | 1414 | Order of operations (PEMDAS): first 32*44=1408, then 6+1408=1414. | basic_operations |
9,388 | arithmetic | easy | What is 16275 / 75? | 217 | Divide: 16275 ÷ 75 = 217 because 75*217=16275. | division |
9,389 | geometry | easy | Find the area of a triangle with base 59 and height 50. | 1475 | Area = 0.5*base*height = 0.5*59*50 = 1475. | triangle_area |
9,390 | arithmetic | easy | What is 36080 / 88? | 410 | Divide: 36080 ÷ 88 = 410 because 88*410=36080. | division |
9,391 | exponents | easy | What is 10^4? | 10000 | 10^4 means multiply 10 by itself 4 times: 10*10*10*10 = 10000. | exponents |
9,392 | arithmetic | easy | What is 40269 / 93? | 433 | Divide: 40269 ÷ 93 = 433 because 93*433=40269. | division |
9,393 | algebra | easy | Solve for x: 9x - 14 = 40 | 6 | Add 14 to both sides: 9x = 40+14=54. Then x = 54/9 = 6. | linear_equation |
9,394 | exponents | easy | What is 2^3? | 8 | 2^3 means multiply 2 by itself 3 times: 2*2*2 = 8. | exponents |
9,395 | 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 |
9,396 | word_problems | easy | If you have 57 dollars and you buy 39 more dollars, how many dollars do you have in total? | 96 | Add initial 57 plus bought 39: 57+39=96. | addition_word |
9,397 | number_theory | medium | What is the GCD (greatest common divisor) of 46 and 77? | 1 | Find greatest number dividing both 46 and 77. Divisors common, greatest is 1. | gcd |
9,398 | number_theory | medium | What is the GCD (greatest common divisor) of 43 and 66? | 1 | Find greatest number dividing both 43 and 66. Divisors common, greatest is 1. | gcd |
9,399 | arithmetic | easy | What is 520 + 775? | 1295 | Add the two numbers: 520 + 775 = 1295. | basic_operations |
9,400 | word_problems | easy | If you have 61 dollars and you buy 50 more dollars, how many dollars do you have in total? | 111 | Add initial 61 plus bought 50: 61+50=111. | addition_word |
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