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 |
|---|---|---|---|---|---|---|
7,301 | percentages | easy | What is 72% of 948? | 682.56 | Calculate 72/100 * 948 = 0.72*948 = 682.56. | percentages |
7,302 | arithmetic | easy | What is 432 - 65? | 367 | Subtract: 432 - 65 = 367. | basic_operations |
7,303 | number_theory | medium | What is the GCD (greatest common divisor) of 15 and 46? | 1 | Find greatest number dividing both 15 and 46. Divisors common, greatest is 1. | gcd |
7,304 | algebra | easy | Solve for x: 1x - 12 = -11 | 1 | Add 12 to both sides: 1x = -11+12=1. Then x = 1/1 = 1. | linear_equation |
7,305 | arithmetic | easy | What is 674 + 190? | 864 | Add the two numbers: 674 + 190 = 864. | basic_operations |
7,306 | 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 |
7,307 | arithmetic | easy | What is 34 * 99? | 3366 | Multiply: 34 * 99 = 3366. | basic_operations |
7,308 | percentages | easy | What is 29% of 769? | 223.01 | Calculate 29/100 * 769 = 0.29*769 = 223.01. | percentages |
7,309 | statistics | easy | What is the mean (average) of 98, 43, 25, 11, 93? | 54 | Mean = sum/count. Sum = 98+43+25+11+93=270. Count=5. Mean=270/5=54.0. | mean |
7,310 | arithmetic | easy | What is 1168 / 16? | 73 | Divide: 1168 ÷ 16 = 73 because 16*73=1168. | division |
7,311 | arithmetic | easy | What is 890 - 282? | 608 | Subtract: 890 - 282 = 608. | basic_operations |
7,312 | word_problems | easy | If you have 38 pencils and you buy 10 more pencils, how many pencils do you have in total? | 48 | Add initial 38 plus bought 10: 38+10=48. | addition_word |
7,313 | 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 |
7,314 | calculus | medium | What is the derivative of 6x^3 with respect to x? | 18x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^3] = 6*3*x^2 = 18x^2. | derivative |
7,315 | arithmetic | easy | What is 2430 / 90? | 27 | Divide: 2430 ÷ 90 = 27 because 90*27=2430. | division |
7,316 | statistics | easy | What is the mean (average) of 68, 25, 71? | 54.67 | Mean = sum/count. Sum = 68+25+71=164. Count=3. Mean=164/3=54.67. | mean |
7,317 | number_theory | medium | What is the LCM (least common multiple) of 45 and 38? | 1710 | LCM = |45*38| / GCD(45,38). GCD=1, so LCM=1710/1=1710. | lcm |
7,318 | arithmetic | easy | What is 648 - 266? | 382 | Subtract: 648 - 266 = 382. | basic_operations |
7,319 | arithmetic | easy | What is 599 + 238 * 42? Remember order of operations. | 10595 | Order of operations (PEMDAS): first 238*42=9996, then 599+9996=10595. | basic_operations |
7,320 | exponents | easy | What is 7^4? | 2401 | 7^4 means multiply 7 by itself 4 times: 7*7*7*7 = 2401. | exponents |
7,321 | roots | easy | What is the square root of 2401? | 49 | Find number that when squared gives 2401. 49*49=2401, so sqrt(2401)=49. | square_roots |
7,322 | percentages | easy | What is 89% of 465? | 413.85 | Calculate 89/100 * 465 = 0.89*465 = 413.85. | percentages |
7,323 | arithmetic | easy | What is 946 + 784? | 1730 | Add the two numbers: 946 + 784 = 1730. | basic_operations |
7,324 | arithmetic | easy | What is 12870 / 55? | 234 | Divide: 12870 ÷ 55 = 234 because 55*234=12870. | division |
7,325 | word_problems | easy | If you have 37 apples and you buy 25 more apples, how many apples do you have in total? | 62 | Add initial 37 plus bought 25: 37+25=62. | addition_word |
7,326 | algebra | easy | Solve for x: 3x + 35 = 35 | 0 | Subtract 35 from both sides: 3x = 35-35=0. Then divide by 3: x = 0/3 = 0. | linear_equation |
7,327 | statistics | easy | What is the mean (average) of 55, 93, 93, 98? | 84.75 | Mean = sum/count. Sum = 55+93+93+98=339. Count=4. Mean=339/4=84.75. | mean |
7,328 | algebra | medium | Solve for x: x^2 - 1x - 6 = 0 | x = 3, -2 | Factor: (x - 3)(x - -2) = x^2 -(1)x + -6 = 0. So x = 3 or -2. Check sum = 1, product = -6. | quadratic |
7,329 | arithmetic | easy | What is 9264 / 24? | 386 | Divide: 9264 ÷ 24 = 386 because 24*386=9264. | division |
7,330 | geometry | easy | Find the area of a triangle with base 16 and height 66. | 528 | Area = 0.5*base*height = 0.5*16*66 = 528. | triangle_area |
7,331 | word_problems | easy | If you have 55 apples and you buy 11 more apples, how many apples do you have in total? | 66 | Add initial 55 plus bought 11: 55+11=66. | addition_word |
7,332 | arithmetic | easy | What is 435 + 585? | 1020 | Add the two numbers: 435 + 585 = 1020. | basic_operations |
7,333 | 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 |
7,334 | arithmetic | easy | What is 77 * 44? | 3388 | Multiply: 77 * 44 = 3388. | basic_operations |
7,335 | 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 |
7,336 | statistics | easy | What is the mean (average) of 40, 43, 5? | 29.33 | Mean = sum/count. Sum = 40+43+5=88. Count=3. Mean=88/3=29.33. | mean |
7,337 | roots | easy | What is the square root of 2209? | 47 | Find number that when squared gives 2209. 47*47=2209, so sqrt(2209)=47. | square_roots |
7,338 | algebra | easy | Solve for x: 5x + 36 = 66 | 6 | Subtract 36 from both sides: 5x = 66-36=30. Then divide by 5: x = 30/5 = 6. | linear_equation |
7,339 | word_problems | easy | If you have 34 apples and you buy 44 more apples, how many apples do you have in total? | 78 | Add initial 34 plus bought 44: 34+44=78. | addition_word |
7,340 | algebra | medium | Solve for x: x^2 + 6x + 8 = 0 | x = -4, -2 | Factor: (x - -4)(x - -2) = x^2 -(-6)x + 8 = 0. So x = -4 or -2. Check sum = -6, product = 8. | quadratic |
7,341 | percentages | easy | What is 100% of 544? | 544 | Calculate 100/100 * 544 = 1.0*544 = 544. | percentages |
7,342 | arithmetic | easy | What is 316 + 515? | 831 | Add the two numbers: 316 + 515 = 831. | basic_operations |
7,343 | algebra | easy | Solve for x: 2x - 32 = -26 | 3 | Add 32 to both sides: 2x = -26+32=6. Then x = 6/2 = 3. | linear_equation |
7,344 | percentages | easy | What is 52% of 305? | 158.6 | Calculate 52/100 * 305 = 0.52*305 = 158.6. | percentages |
7,345 | number_theory | medium | What is the GCD (greatest common divisor) of 6 and 87? | 3 | Find greatest number dividing both 6 and 87. Divisors common, greatest is 3. | gcd |
7,346 | algebra | medium | Solve for x: x^2 + 10x + 21 = 0 | x = -3, -7 | Factor: (x - -3)(x - -7) = x^2 -(-10)x + 21 = 0. So x = -3 or -7. Check sum = -10, product = 21. | quadratic |
7,347 | percentages | easy | What is 33% of 136? | 44.88 | Calculate 33/100 * 136 = 0.33*136 = 44.88. | percentages |
7,348 | statistics | easy | What is the mean (average) of 99, 48, 57, 49? | 63.25 | Mean = sum/count. Sum = 99+48+57+49=253. Count=4. Mean=253/4=63.25. | mean |
7,349 | word_problems | easy | If you have 28 pencils and you buy 39 more pencils, how many pencils do you have in total? | 67 | Add initial 28 plus bought 39: 28+39=67. | addition_word |
7,350 | arithmetic | easy | What is 736 - 113? | 623 | Subtract: 736 - 113 = 623. | basic_operations |
7,351 | exponents | easy | What is 12^4? | 20736 | 12^4 means multiply 12 by itself 4 times: 12*12*12*12 = 20736. | exponents |
7,352 | fractions | medium | What is 3/18 + 7/11? Give as simplified fraction. | 53/66 | Common denominator 18*11=198. 3/18=33/198, 7/11=126/198. Sum = 159/198 = 53/66 simplified. | fraction_operations |
7,353 | 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 |
7,354 | number_theory | medium | What is the GCD (greatest common divisor) of 29 and 11? | 1 | Find greatest number dividing both 29 and 11. Divisors common, greatest is 1. | gcd |
7,355 | algebra | medium | Solve for x: x^2 - 13x + 40 = 0 | x = 8, 5 | Factor: (x - 8)(x - 5) = x^2 -(13)x + 40 = 0. So x = 8 or 5. Check sum = 13, product = 40. | quadratic |
7,356 | statistics | easy | What is the mean (average) of 87, 83, 14? | 61.33 | Mean = sum/count. Sum = 87+83+14=184. Count=3. Mean=184/3=61.33. | mean |
7,357 | 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 |
7,358 | 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 |
7,359 | arithmetic | easy | What is 42240 / 88? | 480 | Divide: 42240 ÷ 88 = 480 because 88*480=42240. | division |
7,360 | 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 |
7,361 | arithmetic | easy | What is 932 + 463? | 1395 | Add the two numbers: 932 + 463 = 1395. | basic_operations |
7,362 | 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 |
7,363 | arithmetic | easy | What is 63 * 30? | 1890 | Multiply: 63 * 30 = 1890. | basic_operations |
7,364 | algebra | easy | Solve for x: 6x - 38 = 64 | 17 | Add 38 to both sides: 6x = 64+38=102. Then x = 102/6 = 17. | linear_equation |
7,365 | percentages | easy | What is 51% of 581? | 296.31 | Calculate 51/100 * 581 = 0.51*581 = 296.31. | percentages |
7,366 | arithmetic | easy | What is 806 + 330? | 1136 | Add the two numbers: 806 + 330 = 1136. | basic_operations |
7,367 | 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 |
7,368 | statistics | easy | What is the mean (average) of 99, 4, 46? | 49.67 | Mean = sum/count. Sum = 99+4+46=149. Count=3. Mean=149/3=49.67. | mean |
7,369 | algebra | easy | Solve for x: 19x + 15 = 167 | 8 | Subtract 15 from both sides: 19x = 167-15=152. Then divide by 19: x = 152/19 = 8. | linear_equation |
7,370 | statistics | easy | What is the mean (average) of 57, 83, 38? | 59.33 | Mean = sum/count. Sum = 57+83+38=178. Count=3. Mean=178/3=59.33. | mean |
7,371 | number_theory | medium | What is the GCD (greatest common divisor) of 77 and 95? | 1 | Find greatest number dividing both 77 and 95. Divisors common, greatest is 1. | gcd |
7,372 | number_theory | medium | What is the LCM (least common multiple) of 26 and 8? | 104 | LCM = |26*8| / GCD(26,8). GCD=2, so LCM=208/2=104. | lcm |
7,373 | geometry | easy | Find the area of a circle with radius 4. Use pi=3.14159, round to 2 decimals. | 50.27 | Area = pi*r^2 = 3.14159*4^2 = 3.14159*16 = 50.27. | circle_area |
7,374 | arithmetic | easy | What is 829 + 182? | 1011 | Add the two numbers: 829 + 182 = 1011. | basic_operations |
7,375 | calculus | medium | What is the derivative of 9x^7 with respect to x? | 63x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^7] = 9*7*x^6 = 63x^6. | derivative |
7,376 | percentages | easy | What is 72% of 507? | 365.04 | Calculate 72/100 * 507 = 0.72*507 = 365.04. | percentages |
7,377 | arithmetic | easy | What is 909 - 219? | 690 | Subtract: 909 - 219 = 690. | basic_operations |
7,378 | arithmetic | easy | What is 52 * 58? | 3016 | Multiply: 52 * 58 = 3016. | basic_operations |
7,379 | arithmetic | easy | What is 244 + 665 * 100? Remember order of operations. | 66744 | Order of operations (PEMDAS): first 665*100=66500, then 244+66500=66744. | basic_operations |
7,380 | fractions | medium | What is 9/15 - 15/13? Give as simplified fraction. | -36/65 | Common denominator 195. Numerator 117-225=-108. So -108/195 simplifies to -36/65. | fraction_operations |
7,381 | arithmetic | easy | What is 550 + 729 * 93? Remember order of operations. | 68347 | Order of operations (PEMDAS): first 729*93=67797, then 550+67797=68347. | basic_operations |
7,382 | 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 |
7,383 | arithmetic | easy | What is 273 / 7? | 39 | Divide: 273 ÷ 7 = 39 because 7*39=273. | division |
7,384 | word_problems | easy | If you have 27 apples and you buy 5 more apples, how many apples do you have in total? | 32 | Add initial 27 plus bought 5: 27+5=32. | addition_word |
7,385 | 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 |
7,386 | percentages | easy | What is 32% of 288? | 92.16 | Calculate 32/100 * 288 = 0.32*288 = 92.16. | percentages |
7,387 | calculus | medium | What is the derivative of 2x^2 with respect to x? | 4x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^2] = 2*2*x^1 = 4x. | derivative |
7,388 | exponents | easy | What is 4^3? | 64 | 4^3 means multiply 4 by itself 3 times: 4*4*4 = 64. | exponents |
7,389 | arithmetic | easy | What is 71 * 22? | 1562 | Multiply: 71 * 22 = 1562. | basic_operations |
7,390 | percentages | easy | What is 23% of 33? | 7.59 | Calculate 23/100 * 33 = 0.23*33 = 7.59. | percentages |
7,391 | fractions | medium | What is 3/14 * 17/5? Give as simplified fraction. | 51/70 | Multiply numerators: 3*17=51. Denominators: 14*5=70. Simplify by gcd 1 to get 51/70. | fraction_operations |
7,392 | 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 |
7,393 | 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 |
7,394 | arithmetic | easy | What is 86 + 88 * 73? Remember order of operations. | 6510 | Order of operations (PEMDAS): first 88*73=6424, then 86+6424=6510. | basic_operations |
7,395 | statistics | easy | What is the mean (average) of 95, 49, 77? | 73.67 | Mean = sum/count. Sum = 95+49+77=221. Count=3. Mean=221/3=73.67. | mean |
7,396 | arithmetic | easy | What is 91 * 40? | 3640 | Multiply: 91 * 40 = 3640. | basic_operations |
7,397 | 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 |
7,398 | algebra | medium | Solve for x: x^2 + 18x + 81 = 0 | x = -9 | Factor as (x - -9)^2 = 0, so root is -9 (double root). Sum of roots = -18, product = 81. | quadratic |
7,399 | arithmetic | easy | What is 363 - 133? | 230 | Subtract: 363 - 133 = 230. | basic_operations |
7,400 | arithmetic | easy | What is 3960 / 8? | 495 | Divide: 3960 ÷ 8 = 495 because 8*495=3960. | division |
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