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 |
|---|---|---|---|---|---|---|
3,601 | algebra | easy | Solve for x: 14x - 45 = 151 | 14 | Add 45 to both sides: 14x = 151+45=196. Then x = 196/14 = 14. | linear_equation |
3,602 | 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 |
3,603 | 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 |
3,604 | arithmetic | easy | What is 358 + 919? | 1277 | Add the two numbers: 358 + 919 = 1277. | basic_operations |
3,605 | arithmetic | easy | What is 992 - 116? | 876 | Subtract: 992 - 116 = 876. | basic_operations |
3,606 | word_problems | easy | If you have 22 apples and you buy 39 more apples, how many apples do you have in total? | 61 | Add initial 22 plus bought 39: 22+39=61. | addition_word |
3,607 | exponents | easy | What is 9^5? | 59049 | 9^5 means multiply 9 by itself 5 times: 9*9*9*9*9 = 59049. | exponents |
3,608 | geometry | easy | Find the perimeter of a rectangle with length 42 and width 85. | 254 | Perimeter = 2*(length+width) = 2*(42+85) = 2*127 = 254. | rectangle_perim |
3,609 | number_theory | medium | What is the GCD (greatest common divisor) of 79 and 86? | 1 | Find greatest number dividing both 79 and 86. Divisors common, greatest is 1. | gcd |
3,610 | statistics | easy | What is the mean (average) of 96, 74, 26, 17? | 53.25 | Mean = sum/count. Sum = 96+74+26+17=213. Count=4. Mean=213/4=53.25. | mean |
3,611 | percentages | easy | What is 66% of 133? | 87.78 | Calculate 66/100 * 133 = 0.66*133 = 87.78. | percentages |
3,612 | algebra | easy | Solve for x: 8x + 34 = -86 | -15 | Subtract 34 from both sides: 8x = -86-34=-120. Then divide by 8: x = -120/8 = -15. | linear_equation |
3,613 | arithmetic | easy | What is 19251 / 93? | 207 | Divide: 19251 ÷ 93 = 207 because 93*207=19251. | division |
3,614 | percentages | easy | What is 29% of 257? | 74.53 | Calculate 29/100 * 257 = 0.29*257 = 74.53. | percentages |
3,615 | algebra | medium | Solve for x: x^2 + 1x = 0 | x = -1, 0 | Factor: (x - -1)(x - 0) = x^2 -(-1)x + 0 = 0. So x = -1 or 0. Check sum = -1, product = 0. | quadratic |
3,616 | word_problems | easy | If you have 90 pencils and you buy 38 more pencils, how many pencils do you have in total? | 128 | Add initial 90 plus bought 38: 90+38=128. | addition_word |
3,617 | geometry | easy | Find the perimeter of a rectangle with length 42 and width 55. | 194 | Perimeter = 2*(length+width) = 2*(42+55) = 2*97 = 194. | rectangle_perim |
3,618 | number_theory | medium | What is the GCD (greatest common divisor) of 85 and 19? | 1 | Find greatest number dividing both 85 and 19. Divisors common, greatest is 1. | gcd |
3,619 | calculus | medium | What is the derivative of 1x^7 with respect to x? | 7x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^7] = 1*7*x^6 = 7x^6. | derivative |
3,620 | fractions | medium | What is 6/2 + 5/3? Give as simplified fraction. | 14/3 | Common denominator 2*3=6. 6/2=18/6, 5/3=10/6. Sum = 28/6 = 14/3 simplified. | fraction_operations |
3,621 | algebra | medium | Solve for x: x^2 - 2x = 0 | x = 2, 0 | Factor: (x - 2)(x - 0) = x^2 -(2)x + 0 = 0. So x = 2 or 0. Check sum = 2, product = 0. | quadratic |
3,622 | arithmetic | easy | What is 586 + 493 * 62? Remember order of operations. | 31152 | Order of operations (PEMDAS): first 493*62=30566, then 586+30566=31152. | basic_operations |
3,623 | calculus | medium | What is the derivative of 4x^5 with respect to x? | 20x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^5] = 4*5*x^4 = 20x^4. | derivative |
3,624 | word_problems | easy | If you have 84 pencils and you buy 17 more pencils, how many pencils do you have in total? | 101 | Add initial 84 plus bought 17: 84+17=101. | addition_word |
3,625 | word_problems | easy | If you have 20 dollars and you buy 48 more dollars, how many dollars do you have in total? | 68 | Add initial 20 plus bought 48: 20+48=68. | addition_word |
3,626 | 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 |
3,627 | algebra | medium | Solve for x: x^2 + 2x = 0 | x = -2, 0 | Factor: (x - -2)(x - 0) = x^2 -(-2)x + 0 = 0. So x = -2 or 0. Check sum = -2, product = 0. | quadratic |
3,628 | statistics | easy | What is the mean (average) of 59, 85, 13, 86, 44? | 57.4 | Mean = sum/count. Sum = 59+85+13+86+44=287. Count=5. Mean=287/5=57.4. | mean |
3,629 | geometry | easy | Find the area of a rectangle with length 47 and width 55. | 2585 | Area = length * width = 47*55 = 2585. | rectangle_area |
3,630 | arithmetic | easy | What is 988 + 557 * 17? Remember order of operations. | 10457 | Order of operations (PEMDAS): first 557*17=9469, then 988+9469=10457. | basic_operations |
3,631 | word_problems | easy | If you have 19 pencils and you buy 8 more pencils, how many pencils do you have in total? | 27 | Add initial 19 plus bought 8: 19+8=27. | addition_word |
3,632 | exponents | easy | What is 4^4? | 256 | 4^4 means multiply 4 by itself 4 times: 4*4*4*4 = 256. | exponents |
3,633 | exponents | easy | What is 9^5? | 59049 | 9^5 means multiply 9 by itself 5 times: 9*9*9*9*9 = 59049. | exponents |
3,634 | arithmetic | easy | What is 990 + 888? | 1878 | Add the two numbers: 990 + 888 = 1878. | basic_operations |
3,635 | fractions | medium | What is 5/9 * 1/8? Give as simplified fraction. | 5/72 | Multiply numerators: 5*1=5. Denominators: 9*8=72. Simplify by gcd 1 to get 5/72. | fraction_operations |
3,636 | number_theory | medium | What is the GCD (greatest common divisor) of 68 and 77? | 1 | Find greatest number dividing both 68 and 77. Divisors common, greatest is 1. | gcd |
3,637 | arithmetic | easy | What is 30 * 89? | 2670 | Multiply: 30 * 89 = 2670. | basic_operations |
3,638 | algebra | medium | Solve for x: x^2 + 4x - 5 = 0 | x = 1, -5 | Factor: (x - 1)(x - -5) = x^2 -(-4)x + -5 = 0. So x = 1 or -5. Check sum = -4, product = -5. | quadratic |
3,639 | arithmetic | easy | What is 7565 / 89? | 85 | Divide: 7565 ÷ 89 = 85 because 89*85=7565. | division |
3,640 | algebra | easy | Solve for x: 18x + 28 = 154 | 7 | Subtract 28 from both sides: 18x = 154-28=126. Then divide by 18: x = 126/18 = 7. | linear_equation |
3,641 | fractions | medium | What is 9/3 - 13/11? Give as simplified fraction. | 20/11 | Common denominator 33. Numerator 99-39=60. So 60/33 simplifies to 20/11. | fraction_operations |
3,642 | 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 |
3,643 | word_problems | easy | If you have 46 dollars and you buy 9 more dollars, how many dollars do you have in total? | 55 | Add initial 46 plus bought 9: 46+9=55. | addition_word |
3,644 | arithmetic | easy | What is 86 + 40 * 91? Remember order of operations. | 3726 | Order of operations (PEMDAS): first 40*91=3640, then 86+3640=3726. | basic_operations |
3,645 | arithmetic | easy | What is 61 + 774 * 53? Remember order of operations. | 41083 | Order of operations (PEMDAS): first 774*53=41022, then 61+41022=41083. | basic_operations |
3,646 | 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 |
3,647 | algebra | medium | Solve for x: x^2 - 13x + 30 = 0 | x = 10, 3 | Factor: (x - 10)(x - 3) = x^2 -(13)x + 30 = 0. So x = 10 or 3. Check sum = 13, product = 30. | quadratic |
3,648 | 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 |
3,649 | percentages | easy | What is 45% of 73? | 32.85 | Calculate 45/100 * 73 = 0.45*73 = 32.85. | percentages |
3,650 | percentages | easy | What is 36% of 144? | 51.84 | Calculate 36/100 * 144 = 0.36*144 = 51.84. | percentages |
3,651 | 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 |
3,652 | algebra | easy | Solve for x: 7x + 6 = -71 | -11 | Subtract 6 from both sides: 7x = -71-6=-77. Then divide by 7: x = -77/7 = -11. | linear_equation |
3,653 | geometry | easy | Find the area of a circle with radius 1. Use pi=3.14159, round to 2 decimals. | 3.14 | Area = pi*r^2 = 3.14159*1^2 = 3.14159*1 = 3.14. | circle_area |
3,654 | arithmetic | easy | What is 10894 divided by 68? Give answer to 2 decimal places. | 160.21 | Calculate 10894/ 68 = 160.2059, rounded to 2 decimals is 160.21. | division |
3,655 | percentages | easy | What is 85% of 449? | 381.65 | Calculate 85/100 * 449 = 0.85*449 = 381.65. | percentages |
3,656 | exponents | easy | What is 3^5? | 243 | 3^5 means multiply 3 by itself 5 times: 3*3*3*3*3 = 243. | exponents |
3,657 | algebra | easy | Solve for x: 3x + 46 = 49 | 1 | Subtract 46 from both sides: 3x = 49-46=3. Then divide by 3: x = 3/3 = 1. | linear_equation |
3,658 | geometry | easy | Find the area of a rectangle with length 49 and width 33. | 1617 | Area = length * width = 49*33 = 1617. | rectangle_area |
3,659 | arithmetic | easy | What is 19598 / 82? | 239 | Divide: 19598 ÷ 82 = 239 because 82*239=19598. | division |
3,660 | statistics | easy | What is the mean (average) of 29, 67, 14, 12? | 30.5 | Mean = sum/count. Sum = 29+67+14+12=122. Count=4. Mean=122/4=30.5. | mean |
3,661 | number_theory | medium | What is the LCM (least common multiple) of 31 and 86? | 2666 | LCM = |31*86| / GCD(31,86). GCD=1, so LCM=2666/1=2666. | lcm |
3,662 | 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 |
3,663 | arithmetic | easy | What is 654 - 108? | 546 | Subtract: 654 - 108 = 546. | basic_operations |
3,664 | geometry | easy | Find the area of a circle with radius 41. Use pi=3.14159, round to 2 decimals. | 5281.02 | Area = pi*r^2 = 3.14159*41^2 = 3.14159*1681 = 5281.02. | circle_area |
3,665 | roots | easy | What is the square root of 729? | 27 | Find number that when squared gives 729. 27*27=729, so sqrt(729)=27. | square_roots |
3,666 | geometry | easy | Find the area of a circle with radius 6. Use pi=3.14159, round to 2 decimals. | 113.1 | Area = pi*r^2 = 3.14159*6^2 = 3.14159*36 = 113.1. | circle_area |
3,667 | arithmetic | easy | What is 104 + 731? | 835 | Add the two numbers: 104 + 731 = 835. | basic_operations |
3,668 | percentages | easy | What is 76% of 445? | 338.2 | Calculate 76/100 * 445 = 0.76*445 = 338.2. | percentages |
3,669 | geometry | easy | Find the area of a rectangle with length 100 and width 91. | 9100 | Area = length * width = 100*91 = 9100. | rectangle_area |
3,670 | statistics | easy | What is the mean (average) of 78, 73, 49, 78, 67? | 69 | Mean = sum/count. Sum = 78+73+49+78+67=345. Count=5. Mean=345/5=69.0. | mean |
3,671 | 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 |
3,672 | arithmetic | easy | What is 33110 / 77? | 430 | Divide: 33110 ÷ 77 = 430 because 77*430=33110. | division |
3,673 | arithmetic | easy | What is 12224 divided by 99? Give answer to 2 decimal places. | 123.47 | Calculate 12224/ 99 = 123.4747, rounded to 2 decimals is 123.47. | division |
3,674 | calculus | medium | What is the derivative of 1x^7 with respect to x? | 7x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^7] = 1*7*x^6 = 7x^6. | derivative |
3,675 | number_theory | medium | What is the LCM (least common multiple) of 83 and 57? | 4731 | LCM = |83*57| / GCD(83,57). GCD=1, so LCM=4731/1=4731. | lcm |
3,676 | arithmetic | easy | What is 100 * 56? | 5600 | Multiply: 100 * 56 = 5600. | basic_operations |
3,677 | arithmetic | easy | What is 222 + 581? | 803 | Add the two numbers: 222 + 581 = 803. | basic_operations |
3,678 | 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 |
3,679 | exponents | easy | What is 8^2? | 64 | 8^2 means multiply 8 by itself 2 times: 8*8 = 64. | exponents |
3,680 | word_problems | easy | If you have 37 dollars and you buy 23 more dollars, how many dollars do you have in total? | 60 | Add initial 37 plus bought 23: 37+23=60. | addition_word |
3,681 | number_theory | medium | What is the LCM (least common multiple) of 32 and 36? | 288 | LCM = |32*36| / GCD(32,36). GCD=4, so LCM=1152/4=288. | lcm |
3,682 | arithmetic | easy | What is 34 * 99? | 3366 | Multiply: 34 * 99 = 3366. | basic_operations |
3,683 | fractions | medium | What is 18/19 - 11/14? Give as simplified fraction. | 43/266 | Common denominator 266. Numerator 252-209=43. So 43/266 simplifies to 43/266. | fraction_operations |
3,684 | algebra | medium | Solve for x: x^2 + 3x - 40 = 0 | x = 5, -8 | Factor: (x - 5)(x - -8) = x^2 -(-3)x + -40 = 0. So x = 5 or -8. Check sum = -3, product = -40. | quadratic |
3,685 | roots | easy | What is the square root of 529? | 23 | Find number that when squared gives 529. 23*23=529, so sqrt(529)=23. | square_roots |
3,686 | percentages | easy | What is 41% of 849? | 348.09 | Calculate 41/100 * 849 = 0.41*849 = 348.09. | percentages |
3,687 | exponents | easy | What is 3^2? | 9 | 3^2 means multiply 3 by itself 2 times: 3*3 = 9. | exponents |
3,688 | calculus | medium | What is the derivative of 10x^4 with respect to x? | 40x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^4] = 10*4*x^3 = 40x^3. | derivative |
3,689 | statistics | easy | What is the mean (average) of 24, 97, 49, 26, 34? | 46 | Mean = sum/count. Sum = 24+97+49+26+34=230. Count=5. Mean=230/5=46.0. | mean |
3,690 | statistics | easy | What is the mean (average) of 44, 57, 47, 97? | 61.25 | Mean = sum/count. Sum = 44+57+47+97=245. Count=4. Mean=245/4=61.25. | mean |
3,691 | algebra | medium | Solve for x: x^2 + 5x = 0 | x = -5, 0 | Factor: (x - -5)(x - 0) = x^2 -(-5)x + 0 = 0. So x = -5 or 0. Check sum = -5, product = 0. | quadratic |
3,692 | arithmetic | easy | What is 195 - 115? | 80 | Subtract: 195 - 115 = 80. | basic_operations |
3,693 | exponents | easy | What is 10^3? | 1000 | 10^3 means multiply 10 by itself 3 times: 10*10*10 = 1000. | exponents |
3,694 | calculus | medium | What is the derivative of 2x^6 with respect to x? | 12x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^6] = 2*6*x^5 = 12x^5. | derivative |
3,695 | fractions | medium | What is 3/4 - 20/14? Give as simplified fraction. | -19/28 | Common denominator 56. Numerator 42-80=-38. So -38/56 simplifies to -19/28. | fraction_operations |
3,696 | algebra | easy | Solve for x: 11x + 18 = 40 | 2 | Subtract 18 from both sides: 11x = 40-18=22. Then divide by 11: x = 22/11 = 2. | linear_equation |
3,697 | 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 |
3,698 | arithmetic | easy | What is 40128 / 96? | 418 | Divide: 40128 ÷ 96 = 418 because 96*418=40128. | division |
3,699 | 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 |
3,700 | word_problems | easy | If you have 10 pencils and you buy 16 more pencils, how many pencils do you have in total? | 26 | Add initial 10 plus bought 16: 10+16=26. | addition_word |
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