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 |
|---|---|---|---|---|---|---|
6,601 | algebra | easy | Solve for x: 10x + 37 = -133 | -17 | Subtract 37 from both sides: 10x = -133-37=-170. Then divide by 10: x = -170/10 = -17. | linear_equation |
6,602 | number_theory | medium | What is the LCM (least common multiple) of 10 and 54? | 270 | LCM = |10*54| / GCD(10,54). GCD=2, so LCM=540/2=270. | lcm |
6,603 | number_theory | medium | What is the GCD (greatest common divisor) of 33 and 42? | 3 | Find greatest number dividing both 33 and 42. Divisors common, greatest is 3. | gcd |
6,604 | algebra | easy | Solve for x: 6x - 18 = -24 | -1 | Add 18 to both sides: 6x = -24+18=-6. Then x = -6/6 = -1. | linear_equation |
6,605 | geometry | easy | Find the area of a rectangle with length 99 and width 66. | 6534 | Area = length * width = 99*66 = 6534. | rectangle_area |
6,606 | statistics | easy | What is the mean (average) of 1, 19, 26, 26? | 18 | Mean = sum/count. Sum = 1+19+26+26=72. Count=4. Mean=72/4=18.0. | mean |
6,607 | 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 |
6,608 | 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 |
6,609 | percentages | easy | What is 41% of 841? | 344.81 | Calculate 41/100 * 841 = 0.41*841 = 344.81. | percentages |
6,610 | statistics | easy | What is the mean (average) of 94, 9, 58? | 53.67 | Mean = sum/count. Sum = 94+9+58=161. Count=3. Mean=161/3=53.67. | mean |
6,611 | arithmetic | easy | What is 982 + 252 * 53? Remember order of operations. | 14338 | Order of operations (PEMDAS): first 252*53=13356, then 982+13356=14338. | basic_operations |
6,612 | exponents | easy | What is 6^3? | 216 | 6^3 means multiply 6 by itself 3 times: 6*6*6 = 216. | exponents |
6,613 | fractions | medium | What is 17/15 + 2/7? Give as simplified fraction. | 149/105 | Common denominator 15*7=105. 17/15=119/105, 2/7=30/105. Sum = 149/105 = 149/105 simplified. | fraction_operations |
6,614 | 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 |
6,615 | arithmetic | easy | What is 29 * 4? | 116 | Multiply: 29 * 4 = 116. | basic_operations |
6,616 | geometry | easy | Find the area of a rectangle with length 28 and width 35. | 980 | Area = length * width = 28*35 = 980. | rectangle_area |
6,617 | arithmetic | easy | What is 9 * 78? | 702 | Multiply: 9 * 78 = 702. | basic_operations |
6,618 | statistics | easy | What is the mean (average) of 63, 18, 35, 44, 20? | 36 | Mean = sum/count. Sum = 63+18+35+44+20=180. Count=5. Mean=180/5=36.0. | mean |
6,619 | geometry | easy | Find the area of a rectangle with length 27 and width 47. | 1269 | Area = length * width = 27*47 = 1269. | rectangle_area |
6,620 | calculus | medium | What is the derivative of 5x^6 with respect to x? | 30x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^6] = 5*6*x^5 = 30x^5. | derivative |
6,621 | arithmetic | easy | What is 326 + 306 * 6? Remember order of operations. | 2162 | Order of operations (PEMDAS): first 306*6=1836, then 326+1836=2162. | basic_operations |
6,622 | calculus | medium | What is the derivative of 8x^8 with respect to x? | 64x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^8] = 8*8*x^7 = 64x^7. | derivative |
6,623 | exponents | easy | What is 10^2? | 100 | 10^2 means multiply 10 by itself 2 times: 10*10 = 100. | exponents |
6,624 | 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 |
6,625 | percentages | easy | What is 74% of 258? | 190.92 | Calculate 74/100 * 258 = 0.74*258 = 190.92. | percentages |
6,626 | arithmetic | easy | What is 98 + 71 * 75? Remember order of operations. | 5423 | Order of operations (PEMDAS): first 71*75=5325, then 98+5325=5423. | basic_operations |
6,627 | 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 |
6,628 | algebra | medium | Solve for x: x^2 - 7x - 18 = 0 | x = 9, -2 | Factor: (x - 9)(x - -2) = x^2 -(7)x + -18 = 0. So x = 9 or -2. Check sum = 7, product = -18. | quadratic |
6,629 | geometry | easy | Find the perimeter of a rectangle with length 84 and width 6. | 180 | Perimeter = 2*(length+width) = 2*(84+6) = 2*90 = 180. | rectangle_perim |
6,630 | percentages | easy | What is 12% of 363? | 43.56 | Calculate 12/100 * 363 = 0.12*363 = 43.56. | percentages |
6,631 | algebra | easy | Solve for x: 11x + 16 = -17 | -3 | Subtract 16 from both sides: 11x = -17-16=-33. Then divide by 11: x = -33/11 = -3. | linear_equation |
6,632 | arithmetic | easy | What is 480 + 196 * 40? Remember order of operations. | 8320 | Order of operations (PEMDAS): first 196*40=7840, then 480+7840=8320. | basic_operations |
6,633 | arithmetic | easy | What is 28251 divided by 74? Give answer to 2 decimal places. | 381.77 | Calculate 28251/ 74 = 381.7703, rounded to 2 decimals is 381.77. | division |
6,634 | statistics | easy | What is the mean (average) of 69, 56, 59, 47? | 57.75 | Mean = sum/count. Sum = 69+56+59+47=231. Count=4. Mean=231/4=57.75. | mean |
6,635 | number_theory | medium | What is the LCM (least common multiple) of 15 and 85? | 255 | LCM = |15*85| / GCD(15,85). GCD=5, so LCM=1275/5=255. | lcm |
6,636 | arithmetic | easy | What is 35 * 88? | 3080 | Multiply: 35 * 88 = 3080. | basic_operations |
6,637 | algebra | medium | Solve for x: x^2 + 14x + 40 = 0 | x = -4, -10 | Factor: (x - -4)(x - -10) = x^2 -(-14)x + 40 = 0. So x = -4 or -10. Check sum = -14, product = 40. | quadratic |
6,638 | algebra | easy | Solve for x: 20x - 10 = 250 | 13 | Add 10 to both sides: 20x = 250+10=260. Then x = 260/20 = 13. | linear_equation |
6,639 | 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 |
6,640 | geometry | easy | Find the area of a rectangle with length 74 and width 54. | 3996 | Area = length * width = 74*54 = 3996. | rectangle_area |
6,641 | algebra | medium | Solve for x: x^2 - 7x - 30 = 0 | x = -3, 10 | Factor: (x - -3)(x - 10) = x^2 -(7)x + -30 = 0. So x = -3 or 10. Check sum = 7, product = -30. | quadratic |
6,642 | percentages | easy | What is 22% of 995? | 218.9 | Calculate 22/100 * 995 = 0.22*995 = 218.9. | percentages |
6,643 | 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 |
6,644 | number_theory | medium | What is the LCM (least common multiple) of 93 and 71? | 6603 | LCM = |93*71| / GCD(93,71). GCD=1, so LCM=6603/1=6603. | lcm |
6,645 | geometry | easy | Find the perimeter of a rectangle with length 59 and width 54. | 226 | Perimeter = 2*(length+width) = 2*(59+54) = 2*113 = 226. | rectangle_perim |
6,646 | statistics | easy | What is the mean (average) of 67, 27, 13, 57? | 41 | Mean = sum/count. Sum = 67+27+13+57=164. Count=4. Mean=164/4=41.0. | mean |
6,647 | fractions | medium | What is 1/14 * 13/7? Give as simplified fraction. | 13/98 | Multiply numerators: 1*13=13. Denominators: 14*7=98. Simplify by gcd 1 to get 13/98. | fraction_operations |
6,648 | fractions | medium | What is 3/13 + 3/18? Give as simplified fraction. | 31/78 | Common denominator 13*18=234. 3/13=54/234, 3/18=39/234. Sum = 93/234 = 31/78 simplified. | fraction_operations |
6,649 | word_problems | easy | If you have 74 books and you buy 33 more books, how many books do you have in total? | 107 | Add initial 74 plus bought 33: 74+33=107. | addition_word |
6,650 | exponents | easy | What is 4^5? | 1024 | 4^5 means multiply 4 by itself 5 times: 4*4*4*4*4 = 1024. | exponents |
6,651 | number_theory | medium | What is the LCM (least common multiple) of 44 and 73? | 3212 | LCM = |44*73| / GCD(44,73). GCD=1, so LCM=3212/1=3212. | lcm |
6,652 | 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 |
6,653 | arithmetic | easy | What is 956 + 431 * 20? Remember order of operations. | 9576 | Order of operations (PEMDAS): first 431*20=8620, then 956+8620=9576. | basic_operations |
6,654 | algebra | easy | Solve for x: 8x + 33 = 113 | 10 | Subtract 33 from both sides: 8x = 113-33=80. Then divide by 8: x = 80/8 = 10. | linear_equation |
6,655 | arithmetic | easy | What is 18880 / 59? | 320 | Divide: 18880 ÷ 59 = 320 because 59*320=18880. | division |
6,656 | algebra | easy | Solve for x: 6x - 21 = 39 | 10 | Add 21 to both sides: 6x = 39+21=60. Then x = 60/6 = 10. | linear_equation |
6,657 | arithmetic | easy | What is 726 - 37? | 689 | Subtract: 726 - 37 = 689. | basic_operations |
6,658 | geometry | easy | Find the area of a triangle with base 81 and height 82. | 3321 | Area = 0.5*base*height = 0.5*81*82 = 3321. | triangle_area |
6,659 | word_problems | easy | If you have 12 pencils and you buy 43 more pencils, how many pencils do you have in total? | 55 | Add initial 12 plus bought 43: 12+43=55. | addition_word |
6,660 | geometry | easy | Find the circumference of a circle with radius 29. Use pi=3.14159, round to 2 decimals. | 182.21 | Circumference = 2*pi*r = 2*3.14159*29 = 182.21. | circle_circum |
6,661 | 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 |
6,662 | geometry | easy | Find the area of a rectangle with length 81 and width 57. | 4617 | Area = length * width = 81*57 = 4617. | rectangle_area |
6,663 | 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 |
6,664 | 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 |
6,665 | fractions | medium | What is 19/18 * 3/19? Give as simplified fraction. | 1/6 | Multiply numerators: 19*3=57. Denominators: 18*19=342. Simplify by gcd 57 to get 1/6. | fraction_operations |
6,666 | arithmetic | easy | What is 864 + 464? | 1328 | Add the two numbers: 864 + 464 = 1328. | basic_operations |
6,667 | arithmetic | easy | What is 598 - 362? | 236 | Subtract: 598 - 362 = 236. | basic_operations |
6,668 | arithmetic | easy | What is 595 - 572? | 23 | Subtract: 595 - 572 = 23. | basic_operations |
6,669 | calculus | medium | What is the derivative of 7x^3 with respect to x? | 21x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^3] = 7*3*x^2 = 21x^2. | derivative |
6,670 | fractions | medium | What is 17/10 - 18/18? Give as simplified fraction. | 7/10 | Common denominator 180. Numerator 306-180=126. So 126/180 simplifies to 7/10. | fraction_operations |
6,671 | 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 |
6,672 | arithmetic | easy | What is 62 + 52 * 3? Remember order of operations. | 218 | Order of operations (PEMDAS): first 52*3=156, then 62+156=218. | basic_operations |
6,673 | percentages | easy | What is 76% of 409? | 310.84 | Calculate 76/100 * 409 = 0.76*409 = 310.84. | percentages |
6,674 | arithmetic | easy | What is 1475 / 25? | 59 | Divide: 1475 ÷ 25 = 59 because 25*59=1475. | division |
6,675 | roots | easy | What is the square root of 2304? | 48 | Find number that when squared gives 2304. 48*48=2304, so sqrt(2304)=48. | square_roots |
6,676 | arithmetic | easy | What is 561 + 900 * 70? Remember order of operations. | 63561 | Order of operations (PEMDAS): first 900*70=63000, then 561+63000=63561. | basic_operations |
6,677 | calculus | medium | What is the derivative of 2x^8 with respect to x? | 16x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^8] = 2*8*x^7 = 16x^7. | derivative |
6,678 | algebra | easy | Solve for x: 1x + 33 = 44 | 11 | Subtract 33 from both sides: 1x = 44-33=11. Then divide by 1: x = 11/1 = 11. | linear_equation |
6,679 | arithmetic | easy | What is 98 + 77 * 50? Remember order of operations. | 3948 | Order of operations (PEMDAS): first 77*50=3850, then 98+3850=3948. | basic_operations |
6,680 | arithmetic | easy | What is 1864 / 8? | 233 | Divide: 1864 ÷ 8 = 233 because 8*233=1864. | division |
6,681 | percentages | easy | What is 62% of 799? | 495.38 | Calculate 62/100 * 799 = 0.62*799 = 495.38. | percentages |
6,682 | algebra | easy | Solve for x: 19x + 21 = -188 | -11 | Subtract 21 from both sides: 19x = -188-21=-209. Then divide by 19: x = -209/19 = -11. | linear_equation |
6,683 | calculus | medium | What is the derivative of 10x^6 with respect to x? | 60x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^6] = 10*6*x^5 = 60x^5. | derivative |
6,684 | percentages | easy | What is 29% of 282? | 81.78 | Calculate 29/100 * 282 = 0.29*282 = 81.78. | percentages |
6,685 | 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 |
6,686 | exponents | easy | What is 11^5? | 161051 | 11^5 means multiply 11 by itself 5 times: 11*11*11*11*11 = 161051. | exponents |
6,687 | arithmetic | easy | What is 249 + 731? | 980 | Add the two numbers: 249 + 731 = 980. | basic_operations |
6,688 | roots | easy | What is the square root of 900? | 30 | Find number that when squared gives 900. 30*30=900, so sqrt(900)=30. | square_roots |
6,689 | 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 |
6,690 | percentages | easy | What is 25% of 347? | 86.75 | Calculate 25/100 * 347 = 0.25*347 = 86.75. | percentages |
6,691 | number_theory | medium | What is the GCD (greatest common divisor) of 89 and 58? | 1 | Find greatest number dividing both 89 and 58. Divisors common, greatest is 1. | gcd |
6,692 | statistics | easy | What is the mean (average) of 31, 95, 13, 99? | 59.5 | Mean = sum/count. Sum = 31+95+13+99=238. Count=4. Mean=238/4=59.5. | mean |
6,693 | algebra | medium | Solve for x: x^2 + 11x + 28 = 0 | x = -4, -7 | Factor: (x - -4)(x - -7) = x^2 -(-11)x + 28 = 0. So x = -4 or -7. Check sum = -11, product = 28. | quadratic |
6,694 | roots | easy | What is the square root of 484? | 22 | Find number that when squared gives 484. 22*22=484, so sqrt(484)=22. | square_roots |
6,695 | 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 |
6,696 | arithmetic | easy | What is 865 - 698? | 167 | Subtract: 865 - 698 = 167. | basic_operations |
6,697 | arithmetic | easy | What is 367 + 131? | 498 | Add the two numbers: 367 + 131 = 498. | basic_operations |
6,698 | percentages | easy | What is 67% of 281? | 188.27 | Calculate 67/100 * 281 = 0.67*281 = 188.27. | percentages |
6,699 | geometry | easy | Find the area of a circle with radius 3. Use pi=3.14159, round to 2 decimals. | 28.27 | Area = pi*r^2 = 3.14159*3^2 = 3.14159*9 = 28.27. | circle_area |
6,700 | exponents | easy | What is 7^3? | 343 | 7^3 means multiply 7 by itself 3 times: 7*7*7 = 343. | exponents |
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