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 |
|---|---|---|---|---|---|---|
8,301 | 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 |
8,302 | number_theory | medium | What is the LCM (least common multiple) of 28 and 93? | 2604 | LCM = |28*93| / GCD(28,93). GCD=1, so LCM=2604/1=2604. | lcm |
8,303 | arithmetic | easy | What is 30302 divided by 96? Give answer to 2 decimal places. | 315.65 | Calculate 30302/ 96 = 315.6458, rounded to 2 decimals is 315.65. | division |
8,304 | percentages | easy | What is 14% of 466? | 65.24 | Calculate 14/100 * 466 = 0.14*466 = 65.24. | percentages |
8,305 | fractions | medium | What is 19/11 - 14/6? Give as simplified fraction. | -20/33 | Common denominator 66. Numerator 114-154=-40. So -40/66 simplifies to -20/33. | fraction_operations |
8,306 | statistics | easy | What is the mean (average) of 93, 20, 26, 96, 72? | 61.4 | Mean = sum/count. Sum = 93+20+26+96+72=307. Count=5. Mean=307/5=61.4. | mean |
8,307 | number_theory | medium | What is the LCM (least common multiple) of 68 and 49? | 3332 | LCM = |68*49| / GCD(68,49). GCD=1, so LCM=3332/1=3332. | lcm |
8,308 | percentages | easy | What is 80% of 158? | 126.4 | Calculate 80/100 * 158 = 0.8*158 = 126.4. | percentages |
8,309 | statistics | easy | What is the mean (average) of 50, 71, 59, 85, 12? | 55.4 | Mean = sum/count. Sum = 50+71+59+85+12=277. Count=5. Mean=277/5=55.4. | mean |
8,310 | geometry | easy | Find the area of a rectangle with length 31 and width 36. | 1116 | Area = length * width = 31*36 = 1116. | rectangle_area |
8,311 | fractions | medium | What is 4/17 - 20/14? Give as simplified fraction. | -142/119 | Common denominator 238. Numerator 56-340=-284. So -284/238 simplifies to -142/119. | fraction_operations |
8,312 | arithmetic | easy | What is 441 - 7? | 434 | Subtract: 441 - 7 = 434. | basic_operations |
8,313 | arithmetic | easy | What is 28161 / 63? | 447 | Divide: 28161 ÷ 63 = 447 because 63*447=28161. | division |
8,314 | word_problems | easy | If you have 82 apples and you buy 9 more apples, how many apples do you have in total? | 91 | Add initial 82 plus bought 9: 82+9=91. | addition_word |
8,315 | arithmetic | easy | What is 3570 / 51? | 70 | Divide: 3570 ÷ 51 = 70 because 51*70=3570. | division |
8,316 | calculus | medium | What is the derivative of 10x^7 with respect to x? | 70x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^7] = 10*7*x^6 = 70x^6. | derivative |
8,317 | fractions | medium | What is 12/10 - 13/11? Give as simplified fraction. | 1/55 | Common denominator 110. Numerator 132-130=2. So 2/110 simplifies to 1/55. | fraction_operations |
8,318 | fractions | medium | What is 19/19 + 20/16? Give as simplified fraction. | 9/4 | Common denominator 19*16=304. 19/19=304/304, 20/16=380/304. Sum = 684/304 = 9/4 simplified. | fraction_operations |
8,319 | arithmetic | easy | What is 13260 / 39? | 340 | Divide: 13260 ÷ 39 = 340 because 39*340=13260. | division |
8,320 | statistics | easy | What is the mean (average) of 30, 77, 92? | 66.33 | Mean = sum/count. Sum = 30+77+92=199. Count=3. Mean=199/3=66.33. | mean |
8,321 | percentages | easy | What is 33% of 678? | 223.74 | Calculate 33/100 * 678 = 0.33*678 = 223.74. | percentages |
8,322 | algebra | easy | Solve for x: 16x + 39 = -185 | -14 | Subtract 39 from both sides: 16x = -185-39=-224. Then divide by 16: x = -224/16 = -14. | linear_equation |
8,323 | calculus | medium | What is the derivative of 10x^5 with respect to x? | 50x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^5] = 10*5*x^4 = 50x^4. | derivative |
8,324 | algebra | easy | Solve for x: 12x - 9 = -153 | -12 | Add 9 to both sides: 12x = -153+9=-144. Then x = -144/12 = -12. | linear_equation |
8,325 | arithmetic | easy | What is 338 + 25? | 363 | Add the two numbers: 338 + 25 = 363. | basic_operations |
8,326 | arithmetic | easy | What is 8 + 50? | 58 | Add the two numbers: 8 + 50 = 58. | basic_operations |
8,327 | arithmetic | easy | What is 34365 / 87? | 395 | Divide: 34365 ÷ 87 = 395 because 87*395=34365. | division |
8,328 | roots | easy | What is the square root of 784? | 28 | Find number that when squared gives 784. 28*28=784, so sqrt(784)=28. | square_roots |
8,329 | arithmetic | easy | What is 426 + 73 * 75? Remember order of operations. | 5901 | Order of operations (PEMDAS): first 73*75=5475, then 426+5475=5901. | basic_operations |
8,330 | geometry | easy | Find the area of a circle with radius 50. Use pi=3.14159, round to 2 decimals. | 7853.98 | Area = pi*r^2 = 3.14159*50^2 = 3.14159*2500 = 7853.98. | circle_area |
8,331 | arithmetic | easy | What is 143 + 971 * 12? Remember order of operations. | 11795 | Order of operations (PEMDAS): first 971*12=11652, then 143+11652=11795. | basic_operations |
8,332 | algebra | easy | Solve for x: 7x + 17 = 10 | -1 | Subtract 17 from both sides: 7x = 10-17=-7. Then divide by 7: x = -7/7 = -1. | linear_equation |
8,333 | calculus | medium | What is the derivative of 10x^8 with respect to x? | 80x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^8] = 10*8*x^7 = 80x^7. | derivative |
8,334 | arithmetic | easy | What is 72 * 52? | 3744 | Multiply: 72 * 52 = 3744. | basic_operations |
8,335 | fractions | medium | What is 7/4 * 2/10? Give as simplified fraction. | 7/20 | Multiply numerators: 7*2=14. Denominators: 4*10=40. Simplify by gcd 2 to get 7/20. | fraction_operations |
8,336 | geometry | easy | Find the area of a triangle with base 16 and height 64. | 512 | Area = 0.5*base*height = 0.5*16*64 = 512. | triangle_area |
8,337 | word_problems | easy | If you have 85 candies and you buy 16 more candies, how many candies do you have in total? | 101 | Add initial 85 plus bought 16: 85+16=101. | addition_word |
8,338 | number_theory | medium | What is the LCM (least common multiple) of 41 and 93? | 3813 | LCM = |41*93| / GCD(41,93). GCD=1, so LCM=3813/1=3813. | lcm |
8,339 | arithmetic | easy | What is 621 + 142? | 763 | Add the two numbers: 621 + 142 = 763. | basic_operations |
8,340 | algebra | easy | Solve for x: 5x - 48 = -18 | 6 | Add 48 to both sides: 5x = -18+48=30. Then x = 30/5 = 6. | linear_equation |
8,341 | fractions | medium | What is 3/18 + 13/11? Give as simplified fraction. | 89/66 | Common denominator 18*11=198. 3/18=33/198, 13/11=234/198. Sum = 267/198 = 89/66 simplified. | fraction_operations |
8,342 | statistics | easy | What is the mean (average) of 9, 82, 81, 81? | 63.25 | Mean = sum/count. Sum = 9+82+81+81=253. Count=4. Mean=253/4=63.25. | mean |
8,343 | percentages | easy | What is 4% of 160? | 6.4 | Calculate 4/100 * 160 = 0.04*160 = 6.4. | percentages |
8,344 | fractions | medium | What is 14/10 * 4/15? Give as simplified fraction. | 28/75 | Multiply numerators: 14*4=56. Denominators: 10*15=150. Simplify by gcd 2 to get 28/75. | fraction_operations |
8,345 | percentages | easy | What is 55% of 519? | 285.45 | Calculate 55/100 * 519 = 0.55*519 = 285.45. | percentages |
8,346 | fractions | medium | What is 11/20 - 3/15? Give as simplified fraction. | 7/20 | Common denominator 300. Numerator 165-60=105. So 105/300 simplifies to 7/20. | fraction_operations |
8,347 | 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 |
8,348 | arithmetic | easy | What is 857 + 250? | 1107 | Add the two numbers: 857 + 250 = 1107. | basic_operations |
8,349 | arithmetic | easy | What is 731 + 586? | 1317 | Add the two numbers: 731 + 586 = 1317. | basic_operations |
8,350 | roots | easy | What is the square root of 81? | 9 | Find number that when squared gives 81. 9*9=81, so sqrt(81)=9. | square_roots |
8,351 | algebra | easy | Solve for x: 13x + 8 = -174 | -14 | Subtract 8 from both sides: 13x = -174-8=-182. Then divide by 13: x = -182/13 = -14. | linear_equation |
8,352 | algebra | medium | Solve for x: x^2 - 11x + 18 = 0 | x = 2, 9 | Factor: (x - 2)(x - 9) = x^2 -(11)x + 18 = 0. So x = 2 or 9. Check sum = 11, product = 18. | quadratic |
8,353 | percentages | easy | What is 60% of 598? | 358.8 | Calculate 60/100 * 598 = 0.6*598 = 358.8. | percentages |
8,354 | geometry | easy | Find the area of a triangle with base 80 and height 73. | 2920 | Area = 0.5*base*height = 0.5*80*73 = 2920. | triangle_area |
8,355 | roots | easy | What is the square root of 121? | 11 | Find number that when squared gives 121. 11*11=121, so sqrt(121)=11. | square_roots |
8,356 | algebra | medium | Solve for x: x^2 + 5x = 0 | x = 0, -5 | Factor: (x - 0)(x - -5) = x^2 -(-5)x + 0 = 0. So x = 0 or -5. Check sum = -5, product = 0. | quadratic |
8,357 | 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 |
8,358 | geometry | easy | Find the area of a circle with radius 20. Use pi=3.14159, round to 2 decimals. | 1256.64 | Area = pi*r^2 = 3.14159*20^2 = 3.14159*400 = 1256.64. | circle_area |
8,359 | geometry | easy | Find the perimeter of a rectangle with length 96 and width 81. | 354 | Perimeter = 2*(length+width) = 2*(96+81) = 2*177 = 354. | rectangle_perim |
8,360 | 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 |
8,361 | 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 |
8,362 | arithmetic | easy | What is 624 / 16? | 39 | Divide: 624 ÷ 16 = 39 because 16*39=624. | division |
8,363 | percentages | easy | What is 6% of 437? | 26.22 | Calculate 6/100 * 437 = 0.06*437 = 26.22. | percentages |
8,364 | geometry | easy | Find the area of a rectangle with length 78 and width 91. | 7098 | Area = length * width = 78*91 = 7098. | rectangle_area |
8,365 | arithmetic | easy | What is 576 + 329 * 64? Remember order of operations. | 21632 | Order of operations (PEMDAS): first 329*64=21056, then 576+21056=21632. | basic_operations |
8,366 | 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 |
8,367 | number_theory | medium | What is the GCD (greatest common divisor) of 77 and 87? | 1 | Find greatest number dividing both 77 and 87. Divisors common, greatest is 1. | gcd |
8,368 | calculus | medium | What is the derivative of 3x^7 with respect to x? | 21x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^7] = 3*7*x^6 = 21x^6. | derivative |
8,369 | statistics | easy | What is the mean (average) of 62, 79, 7, 22, 46? | 43.2 | Mean = sum/count. Sum = 62+79+7+22+46=216. Count=5. Mean=216/5=43.2. | mean |
8,370 | arithmetic | easy | What is 7020 / 90? | 78 | Divide: 7020 ÷ 90 = 78 because 90*78=7020. | division |
8,371 | calculus | medium | What is the derivative of 8x^3 with respect to x? | 24x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^3] = 8*3*x^2 = 24x^2. | derivative |
8,372 | algebra | medium | Solve for x: x^2 + 4x - 21 = 0 | x = -7, 3 | Factor: (x - -7)(x - 3) = x^2 -(-4)x + -21 = 0. So x = -7 or 3. Check sum = -4, product = -21. | quadratic |
8,373 | algebra | medium | Solve for x: x^2 - 4x + 4 = 0 | x = 2 | Factor as (x - 2)^2 = 0, so root is 2 (double root). Sum of roots = 4, product = 4. | quadratic |
8,374 | arithmetic | easy | What is 222 - 150? | 72 | Subtract: 222 - 150 = 72. | basic_operations |
8,375 | arithmetic | easy | What is 549 + 816? | 1365 | Add the two numbers: 549 + 816 = 1365. | basic_operations |
8,376 | number_theory | medium | What is the LCM (least common multiple) of 85 and 80? | 1360 | LCM = |85*80| / GCD(85,80). GCD=5, so LCM=6800/5=1360. | lcm |
8,377 | word_problems | easy | If you have 34 candies and you buy 47 more candies, how many candies do you have in total? | 81 | Add initial 34 plus bought 47: 34+47=81. | addition_word |
8,378 | fractions | medium | What is 20/13 - 16/20? Give as simplified fraction. | 48/65 | Common denominator 260. Numerator 400-208=192. So 192/260 simplifies to 48/65. | fraction_operations |
8,379 | number_theory | medium | What is the GCD (greatest common divisor) of 9 and 73? | 1 | Find greatest number dividing both 9 and 73. Divisors common, greatest is 1. | gcd |
8,380 | geometry | easy | Find the circumference of a circle with radius 18. Use pi=3.14159, round to 2 decimals. | 113.1 | Circumference = 2*pi*r = 2*3.14159*18 = 113.1. | circle_circum |
8,381 | arithmetic | easy | What is 28 * 51? | 1428 | Multiply: 28 * 51 = 1428. | basic_operations |
8,382 | word_problems | easy | If you have 6 pencils and you buy 14 more pencils, how many pencils do you have in total? | 20 | Add initial 6 plus bought 14: 6+14=20. | addition_word |
8,383 | 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 |
8,384 | number_theory | medium | What is the LCM (least common multiple) of 51 and 84? | 1428 | LCM = |51*84| / GCD(51,84). GCD=3, so LCM=4284/3=1428. | lcm |
8,385 | 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 |
8,386 | arithmetic | easy | What is 4114 / 22? | 187 | Divide: 4114 ÷ 22 = 187 because 22*187=4114. | division |
8,387 | algebra | medium | Solve for x: x^2 + 8x + 16 = 0 | x = -4 | Factor as (x - -4)^2 = 0, so root is -4 (double root). Sum of roots = -8, product = 16. | quadratic |
8,388 | arithmetic | easy | What is 816 + 15? | 831 | Add the two numbers: 816 + 15 = 831. | basic_operations |
8,389 | percentages | easy | What is 5% of 761? | 38.05 | Calculate 5/100 * 761 = 0.05*761 = 38.05. | percentages |
8,390 | algebra | easy | Solve for x: 19x - 29 = 351 | 20 | Add 29 to both sides: 19x = 351+29=380. Then x = 380/19 = 20. | linear_equation |
8,391 | geometry | easy | Find the area of a triangle with base 18 and height 66. | 594 | Area = 0.5*base*height = 0.5*18*66 = 594. | triangle_area |
8,392 | word_problems | easy | If you have 33 apples and you buy 11 more apples, how many apples do you have in total? | 44 | Add initial 33 plus bought 11: 33+11=44. | addition_word |
8,393 | arithmetic | easy | What is 67 + 68 * 88? Remember order of operations. | 6051 | Order of operations (PEMDAS): first 68*88=5984, then 67+5984=6051. | basic_operations |
8,394 | 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 |
8,395 | percentages | easy | What is 92% of 438? | 402.96 | Calculate 92/100 * 438 = 0.92*438 = 402.96. | percentages |
8,396 | number_theory | medium | What is the LCM (least common multiple) of 98 and 38? | 1862 | LCM = |98*38| / GCD(98,38). GCD=2, so LCM=3724/2=1862. | lcm |
8,397 | algebra | easy | Solve for x: 6x - 50 = 10 | 10 | Add 50 to both sides: 6x = 10+50=60. Then x = 60/6 = 10. | linear_equation |
8,398 | algebra | easy | Solve for x: 1x - 42 = -23 | 19 | Add 42 to both sides: 1x = -23+42=19. Then x = 19/1 = 19. | linear_equation |
8,399 | word_problems | easy | If you have 7 dollars and you buy 36 more dollars, how many dollars do you have in total? | 43 | Add initial 7 plus bought 36: 7+36=43. | addition_word |
8,400 | algebra | easy | Solve for x: 18x + 10 = -62 | -4 | Subtract 10 from both sides: 18x = -62-10=-72. Then divide by 18: x = -72/18 = -4. | linear_equation |
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