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 |
|---|---|---|---|---|---|---|
5,601 | algebra | medium | Solve for x: x^2 - 13x + 36 = 0 | x = 4, 9 | Factor: (x - 4)(x - 9) = x^2 -(13)x + 36 = 0. So x = 4 or 9. Check sum = 13, product = 36. | quadratic |
5,602 | arithmetic | easy | What is 98 * 95? | 9310 | Multiply: 98 * 95 = 9310. | basic_operations |
5,603 | arithmetic | easy | What is 976 - 416? | 560 | Subtract: 976 - 416 = 560. | basic_operations |
5,604 | arithmetic | easy | What is 48 + 75 * 81? Remember order of operations. | 6123 | Order of operations (PEMDAS): first 75*81=6075, then 48+6075=6123. | basic_operations |
5,605 | arithmetic | easy | What is 35445 / 85? | 417 | Divide: 35445 ÷ 85 = 417 because 85*417=35445. | division |
5,606 | arithmetic | easy | What is 57 + 53 * 60? Remember order of operations. | 3237 | Order of operations (PEMDAS): first 53*60=3180, then 57+3180=3237. | basic_operations |
5,607 | arithmetic | easy | What is 23397 divided by 47? Give answer to 2 decimal places. | 497.81 | Calculate 23397/ 47 = 497.8085, rounded to 2 decimals is 497.81. | division |
5,608 | percentages | easy | What is 70% of 710? | 497 | Calculate 70/100 * 710 = 0.7*710 = 497. | percentages |
5,609 | exponents | easy | What is 7^5? | 16807 | 7^5 means multiply 7 by itself 5 times: 7*7*7*7*7 = 16807. | exponents |
5,610 | algebra | medium | Solve for x: x^2 + 16x + 60 = 0 | x = -10, -6 | Factor: (x - -10)(x - -6) = x^2 -(-16)x + 60 = 0. So x = -10 or -6. Check sum = -16, product = 60. | quadratic |
5,611 | calculus | medium | What is the derivative of 6x^5 with respect to x? | 30x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^5] = 6*5*x^4 = 30x^4. | derivative |
5,612 | calculus | medium | What is the derivative of 7x^6 with respect to x? | 42x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^6] = 7*6*x^5 = 42x^5. | derivative |
5,613 | algebra | medium | Solve for x: x^2 - 10x + 9 = 0 | x = 9, 1 | Factor: (x - 9)(x - 1) = x^2 -(10)x + 9 = 0. So x = 9 or 1. Check sum = 10, product = 9. | quadratic |
5,614 | arithmetic | easy | What is 3154 / 19? | 166 | Divide: 3154 ÷ 19 = 166 because 19*166=3154. | division |
5,615 | exponents | easy | What is 11^3? | 1331 | 11^3 means multiply 11 by itself 3 times: 11*11*11 = 1331. | exponents |
5,616 | 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 |
5,617 | percentages | easy | What is 78% of 280? | 218.4 | Calculate 78/100 * 280 = 0.78*280 = 218.4. | percentages |
5,618 | 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 |
5,619 | arithmetic | easy | What is 783 - 456? | 327 | Subtract: 783 - 456 = 327. | basic_operations |
5,620 | arithmetic | easy | What is 456 + 275 * 81? Remember order of operations. | 22731 | Order of operations (PEMDAS): first 275*81=22275, then 456+22275=22731. | basic_operations |
5,621 | 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 |
5,622 | exponents | easy | What is 3^5? | 243 | 3^5 means multiply 3 by itself 5 times: 3*3*3*3*3 = 243. | exponents |
5,623 | calculus | medium | What is the derivative of 1x^5 with respect to x? | 5x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^5] = 1*5*x^4 = 5x^4. | derivative |
5,624 | arithmetic | easy | What is 801 - 567? | 234 | Subtract: 801 - 567 = 234. | basic_operations |
5,625 | statistics | easy | What is the mean (average) of 72, 46, 88, 80? | 71.5 | Mean = sum/count. Sum = 72+46+88+80=286. Count=4. Mean=286/4=71.5. | mean |
5,626 | exponents | easy | What is 8^4? | 4096 | 8^4 means multiply 8 by itself 4 times: 8*8*8*8 = 4096. | exponents |
5,627 | arithmetic | easy | What is 65 + 39 * 25? Remember order of operations. | 1040 | Order of operations (PEMDAS): first 39*25=975, then 65+975=1040. | basic_operations |
5,628 | word_problems | easy | If you have 36 candies and you buy 19 more candies, how many candies do you have in total? | 55 | Add initial 36 plus bought 19: 36+19=55. | addition_word |
5,629 | roots | easy | What is the square root of 196? | 14 | Find number that when squared gives 196. 14*14=196, so sqrt(196)=14. | square_roots |
5,630 | 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 |
5,631 | arithmetic | easy | What is 7500 / 50? | 150 | Divide: 7500 ÷ 50 = 150 because 50*150=7500. | division |
5,632 | geometry | easy | Find the area of a circle with radius 21. Use pi=3.14159, round to 2 decimals. | 1385.44 | Area = pi*r^2 = 3.14159*21^2 = 3.14159*441 = 1385.44. | circle_area |
5,633 | arithmetic | easy | What is 82 * 66? | 5412 | Multiply: 82 * 66 = 5412. | basic_operations |
5,634 | arithmetic | easy | What is 335 + 989? | 1324 | Add the two numbers: 335 + 989 = 1324. | basic_operations |
5,635 | arithmetic | easy | What is 409 + 168 * 18? Remember order of operations. | 3433 | Order of operations (PEMDAS): first 168*18=3024, then 409+3024=3433. | basic_operations |
5,636 | 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 |
5,637 | arithmetic | easy | What is 19 + 861 * 70? Remember order of operations. | 60289 | Order of operations (PEMDAS): first 861*70=60270, then 19+60270=60289. | basic_operations |
5,638 | geometry | easy | Find the area of a circle with radius 34. Use pi=3.14159, round to 2 decimals. | 3631.68 | Area = pi*r^2 = 3.14159*34^2 = 3.14159*1156 = 3631.68. | circle_area |
5,639 | arithmetic | easy | What is 11400 / 100? | 114 | Divide: 11400 ÷ 100 = 114 because 100*114=11400. | division |
5,640 | arithmetic | easy | What is 70 + 71 * 40? Remember order of operations. | 2910 | Order of operations (PEMDAS): first 71*40=2840, then 70+2840=2910. | basic_operations |
5,641 | statistics | easy | What is the mean (average) of 96, 14, 71, 45? | 56.5 | Mean = sum/count. Sum = 96+14+71+45=226. Count=4. Mean=226/4=56.5. | mean |
5,642 | 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 |
5,643 | percentages | easy | What is 2% of 153? | 3.06 | Calculate 2/100 * 153 = 0.02*153 = 3.06. | percentages |
5,644 | word_problems | easy | If you have 52 apples and you buy 1 more apples, how many apples do you have in total? | 53 | Add initial 52 plus bought 1: 52+1=53. | addition_word |
5,645 | arithmetic | easy | What is 218 - 48? | 170 | Subtract: 218 - 48 = 170. | basic_operations |
5,646 | calculus | medium | What is the derivative of 10x^2 with respect to x? | 20x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^2] = 10*2*x^1 = 20x. | derivative |
5,647 | number_theory | medium | What is the GCD (greatest common divisor) of 83 and 27? | 1 | Find greatest number dividing both 83 and 27. Divisors common, greatest is 1. | gcd |
5,648 | number_theory | medium | What is the GCD (greatest common divisor) of 50 and 38? | 2 | Find greatest number dividing both 50 and 38. Divisors common, greatest is 2. | gcd |
5,649 | geometry | easy | Find the area of a triangle with base 25 and height 57. | 712.5 | Area = 0.5*base*height = 0.5*25*57 = 712.5. | triangle_area |
5,650 | exponents | easy | What is 8^5? | 32768 | 8^5 means multiply 8 by itself 5 times: 8*8*8*8*8 = 32768. | exponents |
5,651 | arithmetic | easy | What is 3 + 84 * 62? Remember order of operations. | 5211 | Order of operations (PEMDAS): first 84*62=5208, then 3+5208=5211. | basic_operations |
5,652 | statistics | easy | What is the mean (average) of 54, 83, 5? | 47.33 | Mean = sum/count. Sum = 54+83+5=142. Count=3. Mean=142/3=47.33. | mean |
5,653 | arithmetic | easy | What is 116 + 647? | 763 | Add the two numbers: 116 + 647 = 763. | basic_operations |
5,654 | arithmetic | easy | What is 952 / 8? | 119 | Divide: 952 ÷ 8 = 119 because 8*119=952. | division |
5,655 | exponents | easy | What is 6^3? | 216 | 6^3 means multiply 6 by itself 3 times: 6*6*6 = 216. | exponents |
5,656 | arithmetic | easy | What is 44 * 55? | 2420 | Multiply: 44 * 55 = 2420. | basic_operations |
5,657 | 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 |
5,658 | algebra | medium | Solve for x: x^2 + 10x + 9 = 0 | x = -1, -9 | Factor: (x - -1)(x - -9) = x^2 -(-10)x + 9 = 0. So x = -1 or -9. Check sum = -10, product = 9. | quadratic |
5,659 | calculus | medium | What is the derivative of 3x^3 with respect to x? | 9x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^3] = 3*3*x^2 = 9x^2. | derivative |
5,660 | arithmetic | easy | What is 20104 divided by 43? Give answer to 2 decimal places. | 467.53 | Calculate 20104/ 43 = 467.5349, rounded to 2 decimals is 467.53. | division |
5,661 | statistics | easy | What is the mean (average) of 41, 55, 99? | 65 | Mean = sum/count. Sum = 41+55+99=195. Count=3. Mean=195/3=65.0. | mean |
5,662 | algebra | medium | Solve for x: x^2 + 10x + 25 = 0 | x = -5 | Factor as (x - -5)^2 = 0, so root is -5 (double root). Sum of roots = -10, product = 25. | quadratic |
5,663 | arithmetic | easy | What is 395 / 79? | 5 | Divide: 395 ÷ 79 = 5 because 79*5=395. | division |
5,664 | fractions | medium | What is 10/16 - 1/10? Give as simplified fraction. | 21/40 | Common denominator 160. Numerator 100-16=84. So 84/160 simplifies to 21/40. | fraction_operations |
5,665 | exponents | easy | What is 9^5? | 59049 | 9^5 means multiply 9 by itself 5 times: 9*9*9*9*9 = 59049. | exponents |
5,666 | exponents | easy | What is 10^4? | 10000 | 10^4 means multiply 10 by itself 4 times: 10*10*10*10 = 10000. | exponents |
5,667 | roots | easy | What is the square root of 576? | 24 | Find number that when squared gives 576. 24*24=576, so sqrt(576)=24. | square_roots |
5,668 | percentages | easy | What is 77% of 448? | 344.96 | Calculate 77/100 * 448 = 0.77*448 = 344.96. | percentages |
5,669 | 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 |
5,670 | arithmetic | easy | What is 8494 / 31? | 274 | Divide: 8494 ÷ 31 = 274 because 31*274=8494. | division |
5,671 | arithmetic | easy | What is 501 + 851 * 11? Remember order of operations. | 9862 | Order of operations (PEMDAS): first 851*11=9361, then 501+9361=9862. | basic_operations |
5,672 | number_theory | medium | What is the GCD (greatest common divisor) of 28 and 14? | 14 | Find greatest number dividing both 28 and 14. Divisors common, greatest is 14. | gcd |
5,673 | arithmetic | easy | What is 759 + 4 * 32? Remember order of operations. | 887 | Order of operations (PEMDAS): first 4*32=128, then 759+128=887. | basic_operations |
5,674 | algebra | medium | Solve for x: x^2 + 16x + 64 = 0 | x = -8 | Factor as (x - -8)^2 = 0, so root is -8 (double root). Sum of roots = -16, product = 64. | quadratic |
5,675 | statistics | easy | What is the mean (average) of 100, 82, 19? | 67 | Mean = sum/count. Sum = 100+82+19=201. Count=3. Mean=201/3=67.0. | mean |
5,676 | word_problems | easy | If you have 68 candies and you buy 11 more candies, how many candies do you have in total? | 79 | Add initial 68 plus bought 11: 68+11=79. | addition_word |
5,677 | geometry | easy | Find the area of a triangle with base 83 and height 70. | 2905 | Area = 0.5*base*height = 0.5*83*70 = 2905. | triangle_area |
5,678 | percentages | easy | What is 80% of 355? | 284 | Calculate 80/100 * 355 = 0.8*355 = 284. | percentages |
5,679 | 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 |
5,680 | roots | easy | What is the square root of 1296? | 36 | Find number that when squared gives 1296. 36*36=1296, so sqrt(1296)=36. | square_roots |
5,681 | 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 |
5,682 | algebra | medium | Solve for x: x^2 - 7x - 8 = 0 | x = 8, -1 | Factor: (x - 8)(x - -1) = x^2 -(7)x + -8 = 0. So x = 8 or -1. Check sum = 7, product = -8. | quadratic |
5,683 | algebra | medium | Solve for x: x^2 + 5x - 6 = 0 | x = 1, -6 | Factor: (x - 1)(x - -6) = x^2 -(-5)x + -6 = 0. So x = 1 or -6. Check sum = -5, product = -6. | quadratic |
5,684 | 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 |
5,685 | calculus | medium | What is the derivative of 9x^2 with respect to x? | 18x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^2] = 9*2*x^1 = 18x. | derivative |
5,686 | roots | easy | What is the square root of 1024? | 32 | Find number that when squared gives 1024. 32*32=1024, so sqrt(1024)=32. | square_roots |
5,687 | number_theory | medium | What is the LCM (least common multiple) of 79 and 11? | 869 | LCM = |79*11| / GCD(79,11). GCD=1, so LCM=869/1=869. | lcm |
5,688 | arithmetic | easy | What is 82 * 7? | 574 | Multiply: 82 * 7 = 574. | basic_operations |
5,689 | arithmetic | easy | What is 459 + 265 * 59? Remember order of operations. | 16094 | Order of operations (PEMDAS): first 265*59=15635, then 459+15635=16094. | basic_operations |
5,690 | percentages | easy | What is 98% of 375? | 367.5 | Calculate 98/100 * 375 = 0.98*375 = 367.5. | percentages |
5,691 | fractions | medium | What is 12/6 * 10/16? Give as simplified fraction. | 5/4 | Multiply numerators: 12*10=120. Denominators: 6*16=96. Simplify by gcd 24 to get 5/4. | fraction_operations |
5,692 | exponents | easy | What is 3^5? | 243 | 3^5 means multiply 3 by itself 5 times: 3*3*3*3*3 = 243. | exponents |
5,693 | arithmetic | easy | What is 14026 divided by 47? Give answer to 2 decimal places. | 298.43 | Calculate 14026/ 47 = 298.4255, rounded to 2 decimals is 298.43. | division |
5,694 | fractions | medium | What is 9/11 + 20/8? Give as simplified fraction. | 73/22 | Common denominator 11*8=88. 9/11=72/88, 20/8=220/88. Sum = 292/88 = 73/22 simplified. | fraction_operations |
5,695 | 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 |
5,696 | statistics | easy | What is the mean (average) of 69, 4, 29, 25, 16? | 28.6 | Mean = sum/count. Sum = 69+4+29+25+16=143. Count=5. Mean=143/5=28.6. | mean |
5,697 | fractions | medium | What is 14/4 + 3/8? Give as simplified fraction. | 31/8 | Common denominator 4*8=32. 14/4=112/32, 3/8=12/32. Sum = 124/32 = 31/8 simplified. | fraction_operations |
5,698 | algebra | medium | Solve for x: x^2 + 6x - 27 = 0 | x = 3, -9 | Factor: (x - 3)(x - -9) = x^2 -(-6)x + -27 = 0. So x = 3 or -9. Check sum = -6, product = -27. | quadratic |
5,699 | statistics | easy | What is the mean (average) of 69, 23, 72, 9, 46? | 43.8 | Mean = sum/count. Sum = 69+23+72+9+46=219. Count=5. Mean=219/5=43.8. | mean |
5,700 | 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 |
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