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 |
|---|---|---|---|---|---|---|
11,601 | arithmetic | easy | What is 110 + 31 * 61? Remember order of operations. | 2001 | Order of operations (PEMDAS): first 31*61=1891, then 110+1891=2001. | basic_operations |
11,602 | arithmetic | easy | What is 890 - 183? | 707 | Subtract: 890 - 183 = 707. | basic_operations |
11,603 | geometry | easy | Find the area of a triangle with base 100 and height 37. | 1850 | Area = 0.5*base*height = 0.5*100*37 = 1850. | triangle_area |
11,604 | arithmetic | easy | What is 2507 / 23? | 109 | Divide: 2507 ÷ 23 = 109 because 23*109=2507. | division |
11,605 | algebra | medium | Solve for x: x^2 + 8x + 15 = 0 | x = -3, -5 | Factor: (x - -3)(x - -5) = x^2 -(-8)x + 15 = 0. So x = -3 or -5. Check sum = -8, product = 15. | quadratic |
11,606 | arithmetic | easy | What is 97 * 42? | 4074 | Multiply: 97 * 42 = 4074. | basic_operations |
11,607 | statistics | easy | What is the mean (average) of 99, 97, 98? | 98 | Mean = sum/count. Sum = 99+97+98=294. Count=3. Mean=294/3=98.0. | mean |
11,608 | exponents | easy | What is 5^2? | 25 | 5^2 means multiply 5 by itself 2 times: 5*5 = 25. | exponents |
11,609 | percentages | easy | What is 62% of 13? | 8.06 | Calculate 62/100 * 13 = 0.62*13 = 8.06. | percentages |
11,610 | number_theory | medium | What is the GCD (greatest common divisor) of 72 and 57? | 3 | Find greatest number dividing both 72 and 57. Divisors common, greatest is 3. | gcd |
11,611 | statistics | easy | What is the mean (average) of 22, 16, 29, 15, 55? | 27.4 | Mean = sum/count. Sum = 22+16+29+15+55=137. Count=5. Mean=137/5=27.4. | mean |
11,612 | algebra | medium | Solve for x: x^2 + 4x - 12 = 0 | x = -6, 2 | Factor: (x - -6)(x - 2) = x^2 -(-4)x + -12 = 0. So x = -6 or 2. Check sum = -4, product = -12. | quadratic |
11,613 | arithmetic | easy | What is 27 + 58 * 80? Remember order of operations. | 4667 | Order of operations (PEMDAS): first 58*80=4640, then 27+4640=4667. | basic_operations |
11,614 | arithmetic | easy | What is 9649 divided by 81? Give answer to 2 decimal places. | 119.12 | Calculate 9649/ 81 = 119.1235, rounded to 2 decimals is 119.12. | division |
11,615 | exponents | easy | What is 6^3? | 216 | 6^3 means multiply 6 by itself 3 times: 6*6*6 = 216. | exponents |
11,616 | arithmetic | easy | What is 455 - 203? | 252 | Subtract: 455 - 203 = 252. | basic_operations |
11,617 | word_problems | easy | If you have 99 pencils and you buy 15 more pencils, how many pencils do you have in total? | 114 | Add initial 99 plus bought 15: 99+15=114. | addition_word |
11,618 | arithmetic | easy | What is 1610 / 14? | 115 | Divide: 1610 ÷ 14 = 115 because 14*115=1610. | division |
11,619 | word_problems | easy | If you have 12 dollars and you buy 43 more dollars, how many dollars do you have in total? | 55 | Add initial 12 plus bought 43: 12+43=55. | addition_word |
11,620 | geometry | easy | Find the circumference of a circle with radius 11. Use pi=3.14159, round to 2 decimals. | 69.12 | Circumference = 2*pi*r = 2*3.14159*11 = 69.12. | circle_circum |
11,621 | exponents | easy | What is 7^4? | 2401 | 7^4 means multiply 7 by itself 4 times: 7*7*7*7 = 2401. | exponents |
11,622 | exponents | easy | What is 2^5? | 32 | 2^5 means multiply 2 by itself 5 times: 2*2*2*2*2 = 32. | exponents |
11,623 | statistics | easy | What is the mean (average) of 2, 42, 30? | 24.67 | Mean = sum/count. Sum = 2+42+30=74. Count=3. Mean=74/3=24.67. | mean |
11,624 | number_theory | medium | What is the GCD (greatest common divisor) of 42 and 84? | 42 | Find greatest number dividing both 42 and 84. Divisors common, greatest is 42. | gcd |
11,625 | fractions | medium | What is 9/19 * 4/5? Give as simplified fraction. | 36/95 | Multiply numerators: 9*4=36. Denominators: 19*5=95. Simplify by gcd 1 to get 36/95. | fraction_operations |
11,626 | arithmetic | easy | What is 84 + 96 * 23? Remember order of operations. | 2292 | Order of operations (PEMDAS): first 96*23=2208, then 84+2208=2292. | basic_operations |
11,627 | roots | easy | What is the square root of 16? | 4 | Find number that when squared gives 16. 4*4=16, so sqrt(16)=4. | square_roots |
11,628 | algebra | easy | Solve for x: 18x - 15 = 183 | 11 | Add 15 to both sides: 18x = 183+15=198. Then x = 198/18 = 11. | linear_equation |
11,629 | statistics | easy | What is the mean (average) of 71, 98, 22, 44, 66? | 60.2 | Mean = sum/count. Sum = 71+98+22+44+66=301. Count=5. Mean=301/5=60.2. | mean |
11,630 | statistics | easy | What is the mean (average) of 46, 29, 60, 9, 48? | 38.4 | Mean = sum/count. Sum = 46+29+60+9+48=192. Count=5. Mean=192/5=38.4. | mean |
11,631 | 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 |
11,632 | exponents | easy | What is 3^4? | 81 | 3^4 means multiply 3 by itself 4 times: 3*3*3*3 = 81. | exponents |
11,633 | percentages | easy | What is 28% of 762? | 213.36 | Calculate 28/100 * 762 = 0.28*762 = 213.36. | percentages |
11,634 | arithmetic | easy | What is 791 - 457? | 334 | Subtract: 791 - 457 = 334. | basic_operations |
11,635 | statistics | easy | What is the mean (average) of 83, 85, 90? | 86 | Mean = sum/count. Sum = 83+85+90=258. Count=3. Mean=258/3=86.0. | mean |
11,636 | calculus | medium | What is the derivative of 4x^3 with respect to x? | 12x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^3] = 4*3*x^2 = 12x^2. | derivative |
11,637 | arithmetic | easy | What is 56 + 90 * 9? Remember order of operations. | 866 | Order of operations (PEMDAS): first 90*9=810, then 56+810=866. | basic_operations |
11,638 | arithmetic | easy | What is 13167 / 77? | 171 | Divide: 13167 ÷ 77 = 171 because 77*171=13167. | division |
11,639 | arithmetic | easy | What is 610 + 251? | 861 | Add the two numbers: 610 + 251 = 861. | basic_operations |
11,640 | fractions | medium | What is 9/3 - 8/17? Give as simplified fraction. | 43/17 | Common denominator 51. Numerator 153-24=129. So 129/51 simplifies to 43/17. | fraction_operations |
11,641 | arithmetic | easy | What is 996 + 478? | 1474 | Add the two numbers: 996 + 478 = 1474. | basic_operations |
11,642 | fractions | medium | What is 1/15 * 4/19? Give as simplified fraction. | 4/285 | Multiply numerators: 1*4=4. Denominators: 15*19=285. Simplify by gcd 1 to get 4/285. | fraction_operations |
11,643 | algebra | easy | Solve for x: 2x - 49 = -53 | -2 | Add 49 to both sides: 2x = -53+49=-4. Then x = -4/2 = -2. | linear_equation |
11,644 | number_theory | medium | What is the GCD (greatest common divisor) of 67 and 17? | 1 | Find greatest number dividing both 67 and 17. Divisors common, greatest is 1. | gcd |
11,645 | statistics | easy | What is the mean (average) of 13, 51, 24? | 29.33 | Mean = sum/count. Sum = 13+51+24=88. Count=3. Mean=88/3=29.33. | mean |
11,646 | geometry | easy | Find the circumference of a circle with radius 45. Use pi=3.14159, round to 2 decimals. | 282.74 | Circumference = 2*pi*r = 2*3.14159*45 = 282.74. | circle_circum |
11,647 | exponents | easy | What is 4^4? | 256 | 4^4 means multiply 4 by itself 4 times: 4*4*4*4 = 256. | exponents |
11,648 | 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 |
11,649 | geometry | easy | Find the circumference of a circle with radius 16. Use pi=3.14159, round to 2 decimals. | 100.53 | Circumference = 2*pi*r = 2*3.14159*16 = 100.53. | circle_circum |
11,650 | algebra | easy | Solve for x: 12x - 9 = -213 | -17 | Add 9 to both sides: 12x = -213+9=-204. Then x = -204/12 = -17. | linear_equation |
11,651 | 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 |
11,652 | algebra | easy | Solve for x: 19x + 34 = 376 | 18 | Subtract 34 from both sides: 19x = 376-34=342. Then divide by 19: x = 342/19 = 18. | linear_equation |
11,653 | arithmetic | easy | What is 734 - 344? | 390 | Subtract: 734 - 344 = 390. | basic_operations |
11,654 | word_problems | easy | If you have 84 apples and you buy 41 more apples, how many apples do you have in total? | 125 | Add initial 84 plus bought 41: 84+41=125. | addition_word |
11,655 | algebra | easy | Solve for x: 1x + 7 = -3 | -10 | Subtract 7 from both sides: 1x = -3-7=-10. Then divide by 1: x = -10/1 = -10. | linear_equation |
11,656 | arithmetic | easy | What is 85 + 78 * 62? Remember order of operations. | 4921 | Order of operations (PEMDAS): first 78*62=4836, then 85+4836=4921. | basic_operations |
11,657 | percentages | easy | What is 41% of 713? | 292.33 | Calculate 41/100 * 713 = 0.41*713 = 292.33. | percentages |
11,658 | roots | easy | What is the square root of 1? | 1 | Find number that when squared gives 1. 1*1=1, so sqrt(1)=1. | square_roots |
11,659 | arithmetic | easy | What is 22940 / 74? | 310 | Divide: 22940 ÷ 74 = 310 because 74*310=22940. | division |
11,660 | geometry | easy | Find the area of a circle with radius 28. Use pi=3.14159, round to 2 decimals. | 2463.01 | Area = pi*r^2 = 3.14159*28^2 = 3.14159*784 = 2463.01. | circle_area |
11,661 | 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 |
11,662 | word_problems | easy | If you have 100 pencils and you buy 45 more pencils, how many pencils do you have in total? | 145 | Add initial 100 plus bought 45: 100+45=145. | addition_word |
11,663 | arithmetic | easy | What is 845 + 747 * 58? Remember order of operations. | 44171 | Order of operations (PEMDAS): first 747*58=43326, then 845+43326=44171. | basic_operations |
11,664 | algebra | medium | Solve for x: x^2 + 9x = 0 | x = -9, 0 | Factor: (x - -9)(x - 0) = x^2 -(-9)x + 0 = 0. So x = -9 or 0. Check sum = -9, product = 0. | quadratic |
11,665 | geometry | easy | Find the area of a rectangle with length 82 and width 47. | 3854 | Area = length * width = 82*47 = 3854. | rectangle_area |
11,666 | arithmetic | easy | What is 86 * 42? | 3612 | Multiply: 86 * 42 = 3612. | basic_operations |
11,667 | geometry | easy | Find the area of a rectangle with length 73 and width 23. | 1679 | Area = length * width = 73*23 = 1679. | rectangle_area |
11,668 | arithmetic | easy | What is 64 * 41? | 2624 | Multiply: 64 * 41 = 2624. | basic_operations |
11,669 | percentages | easy | What is 5% of 947? | 47.35 | Calculate 5/100 * 947 = 0.05*947 = 47.35. | percentages |
11,670 | arithmetic | easy | What is 11 * 39? | 429 | Multiply: 11 * 39 = 429. | basic_operations |
11,671 | number_theory | medium | What is the GCD (greatest common divisor) of 95 and 81? | 1 | Find greatest number dividing both 95 and 81. Divisors common, greatest is 1. | gcd |
11,672 | calculus | medium | What is the derivative of 8x^7 with respect to x? | 56x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^7] = 8*7*x^6 = 56x^6. | derivative |
11,673 | arithmetic | easy | What is 585 - 74? | 511 | Subtract: 585 - 74 = 511. | basic_operations |
11,674 | number_theory | medium | What is the LCM (least common multiple) of 40 and 67? | 2680 | LCM = |40*67| / GCD(40,67). GCD=1, so LCM=2680/1=2680. | lcm |
11,675 | arithmetic | easy | What is 1000 + 51? | 1051 | Add the two numbers: 1000 + 51 = 1051. | basic_operations |
11,676 | arithmetic | easy | What is 300 + 24 * 92? Remember order of operations. | 2508 | Order of operations (PEMDAS): first 24*92=2208, then 300+2208=2508. | basic_operations |
11,677 | number_theory | medium | What is the LCM (least common multiple) of 33 and 80? | 2640 | LCM = |33*80| / GCD(33,80). GCD=1, so LCM=2640/1=2640. | lcm |
11,678 | calculus | medium | What is the derivative of 4x^6 with respect to x? | 24x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^6] = 4*6*x^5 = 24x^5. | derivative |
11,679 | exponents | easy | What is 10^5? | 100000 | 10^5 means multiply 10 by itself 5 times: 10*10*10*10*10 = 100000. | exponents |
11,680 | number_theory | medium | What is the LCM (least common multiple) of 22 and 47? | 1034 | LCM = |22*47| / GCD(22,47). GCD=1, so LCM=1034/1=1034. | lcm |
11,681 | arithmetic | easy | What is 78 * 19? | 1482 | Multiply: 78 * 19 = 1482. | basic_operations |
11,682 | calculus | medium | What is the derivative of 3x^5 with respect to x? | 15x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^5] = 3*5*x^4 = 15x^4. | derivative |
11,683 | 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 |
11,684 | 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 |
11,685 | arithmetic | easy | What is 990 + 198? | 1188 | Add the two numbers: 990 + 198 = 1188. | basic_operations |
11,686 | 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 |
11,687 | arithmetic | easy | What is 92 + 520? | 612 | Add the two numbers: 92 + 520 = 612. | basic_operations |
11,688 | arithmetic | easy | What is 9231 / 51? | 181 | Divide: 9231 ÷ 51 = 181 because 51*181=9231. | division |
11,689 | arithmetic | easy | What is 692 - 571? | 121 | Subtract: 692 - 571 = 121. | basic_operations |
11,690 | arithmetic | easy | What is 316 - 247? | 69 | Subtract: 316 - 247 = 69. | basic_operations |
11,691 | word_problems | easy | If you have 14 candies and you buy 50 more candies, how many candies do you have in total? | 64 | Add initial 14 plus bought 50: 14+50=64. | addition_word |
11,692 | geometry | easy | Find the area of a rectangle with length 81 and width 56. | 4536 | Area = length * width = 81*56 = 4536. | rectangle_area |
11,693 | geometry | easy | Find the circumference of a circle with radius 31. Use pi=3.14159, round to 2 decimals. | 194.78 | Circumference = 2*pi*r = 2*3.14159*31 = 194.78. | circle_circum |
11,694 | calculus | medium | What is the derivative of 2x^3 with respect to x? | 6x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^3] = 2*3*x^2 = 6x^2. | derivative |
11,695 | arithmetic | easy | What is 708 + 986? | 1694 | Add the two numbers: 708 + 986 = 1694. | basic_operations |
11,696 | arithmetic | easy | What is 17912 divided by 76? Give answer to 2 decimal places. | 235.68 | Calculate 17912/ 76 = 235.6842, rounded to 2 decimals is 235.68. | division |
11,697 | arithmetic | easy | What is 371 + 167 * 40? Remember order of operations. | 7051 | Order of operations (PEMDAS): first 167*40=6680, then 371+6680=7051. | basic_operations |
11,698 | 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 |
11,699 | 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 |
11,700 | 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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