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 |
|---|---|---|---|---|---|---|
734,601 | 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 |
734,602 | word_problems | easy | If you have 65 books and you buy 33 more books, how many books do you have in total? | 98 | Add initial 65 plus bought 33: 65+33=98. | addition_word |
734,603 | arithmetic | easy | What is 814 + 328? | 1142 | Add the two numbers: 814 + 328 = 1142. | basic_operations |
734,604 | geometry | easy | Find the circumference of a circle with radius 25. Use pi=3.14159, round to 2 decimals. | 157.08 | Circumference = 2*pi*r = 2*3.14159*25 = 157.08. | circle_circum |
734,605 | statistics | easy | What is the mean (average) of 81, 99, 64, 12, 26? | 56.4 | Mean = sum/count. Sum = 81+99+64+12+26=282. Count=5. Mean=282/5=56.4. | mean |
734,606 | fractions | medium | What is 20/17 - 9/19? Give as simplified fraction. | 227/323 | Common denominator 323. Numerator 380-153=227. So 227/323 simplifies to 227/323. | fraction_operations |
734,607 | statistics | easy | What is the mean (average) of 18, 41, 91, 12, 69? | 46.2 | Mean = sum/count. Sum = 18+41+91+12+69=231. Count=5. Mean=231/5=46.2. | mean |
734,608 | percentages | easy | What is 23% of 479? | 110.17 | Calculate 23/100 * 479 = 0.23*479 = 110.17. | percentages |
734,609 | statistics | easy | What is the mean (average) of 7, 3, 58? | 22.67 | Mean = sum/count. Sum = 7+3+58=68. Count=3. Mean=68/3=22.67. | mean |
734,610 | arithmetic | easy | What is 11564 divided by 30? Give answer to 2 decimal places. | 385.47 | Calculate 11564/ 30 = 385.4667, rounded to 2 decimals is 385.47. | division |
734,611 | geometry | easy | Find the perimeter of a rectangle with length 33 and width 92. | 250 | Perimeter = 2*(length+width) = 2*(33+92) = 2*125 = 250. | rectangle_perim |
734,612 | algebra | medium | Solve for x: x^2 + 19x + 90 = 0 | x = -10, -9 | Factor: (x - -10)(x - -9) = x^2 -(-19)x + 90 = 0. So x = -10 or -9. Check sum = -19, product = 90. | quadratic |
734,613 | arithmetic | easy | What is 983 + 481 * 71? Remember order of operations. | 35134 | Order of operations (PEMDAS): first 481*71=34151, then 983+34151=35134. | basic_operations |
734,614 | percentages | easy | What is 52% of 606? | 315.12 | Calculate 52/100 * 606 = 0.52*606 = 315.12. | percentages |
734,615 | arithmetic | easy | What is 32736 / 66? | 496 | Divide: 32736 ÷ 66 = 496 because 66*496=32736. | division |
734,616 | roots | easy | What is the square root of 324? | 18 | Find number that when squared gives 324. 18*18=324, so sqrt(324)=18. | square_roots |
734,617 | percentages | easy | What is 62% of 31? | 19.22 | Calculate 62/100 * 31 = 0.62*31 = 19.22. | percentages |
734,618 | arithmetic | easy | What is 614 + 57 * 3? Remember order of operations. | 785 | Order of operations (PEMDAS): first 57*3=171, then 614+171=785. | basic_operations |
734,619 | algebra | easy | Solve for x: 14x + 24 = -130 | -11 | Subtract 24 from both sides: 14x = -130-24=-154. Then divide by 14: x = -154/14 = -11. | linear_equation |
734,620 | arithmetic | easy | What is 771 + 747? | 1518 | Add the two numbers: 771 + 747 = 1518. | basic_operations |
734,621 | statistics | easy | What is the mean (average) of 68, 48, 41, 56? | 53.25 | Mean = sum/count. Sum = 68+48+41+56=213. Count=4. Mean=213/4=53.25. | mean |
734,622 | arithmetic | easy | What is 209 - 194? | 15 | Subtract: 209 - 194 = 15. | basic_operations |
734,623 | algebra | medium | Solve for x: x^2 + 13x + 36 = 0 | x = -9, -4 | Factor: (x - -9)(x - -4) = x^2 -(-13)x + 36 = 0. So x = -9 or -4. Check sum = -13, product = 36. | quadratic |
734,624 | 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 |
734,625 | 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 |
734,626 | arithmetic | easy | What is 731 + 504 * 23? Remember order of operations. | 12323 | Order of operations (PEMDAS): first 504*23=11592, then 731+11592=12323. | basic_operations |
734,627 | arithmetic | easy | What is 22010 divided by 56? Give answer to 2 decimal places. | 393.04 | Calculate 22010/ 56 = 393.0357, rounded to 2 decimals is 393.04. | division |
734,628 | geometry | easy | Find the area of a triangle with base 70 and height 33. | 1155 | Area = 0.5*base*height = 0.5*70*33 = 1155. | triangle_area |
734,629 | 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 |
734,630 | statistics | easy | What is the mean (average) of 32, 49, 88? | 56.33 | Mean = sum/count. Sum = 32+49+88=169. Count=3. Mean=169/3=56.33. | mean |
734,631 | algebra | medium | Solve for x: x^2 + 12x + 36 = 0 | x = -6 | Factor as (x - -6)^2 = 0, so root is -6 (double root). Sum of roots = -12, product = 36. | quadratic |
734,632 | statistics | easy | What is the mean (average) of 89, 70, 66, 65? | 72.5 | Mean = sum/count. Sum = 89+70+66+65=290. Count=4. Mean=290/4=72.5. | mean |
734,633 | algebra | medium | Solve for x: x^2 + 2x - 35 = 0 | x = -7, 5 | Factor: (x - -7)(x - 5) = x^2 -(-2)x + -35 = 0. So x = -7 or 5. Check sum = -2, product = -35. | quadratic |
734,634 | algebra | medium | Solve for x: x^2 + 5x + 6 = 0 | x = -3, -2 | Factor: (x - -3)(x - -2) = x^2 -(-5)x + 6 = 0. So x = -3 or -2. Check sum = -5, product = 6. | quadratic |
734,635 | word_problems | easy | If you have 16 apples and you buy 29 more apples, how many apples do you have in total? | 45 | Add initial 16 plus bought 29: 16+29=45. | addition_word |
734,636 | geometry | easy | Find the area of a circle with radius 38. Use pi=3.14159, round to 2 decimals. | 4536.46 | Area = pi*r^2 = 3.14159*38^2 = 3.14159*1444 = 4536.46. | circle_area |
734,637 | arithmetic | easy | What is 7 * 71? | 497 | Multiply: 7 * 71 = 497. | basic_operations |
734,638 | percentages | easy | What is 2% of 739? | 14.78 | Calculate 2/100 * 739 = 0.02*739 = 14.78. | percentages |
734,639 | fractions | medium | What is 16/6 - 17/12? Give as simplified fraction. | 5/4 | Common denominator 72. Numerator 192-102=90. So 90/72 simplifies to 5/4. | fraction_operations |
734,640 | algebra | easy | Solve for x: 10x + 21 = -9 | -3 | Subtract 21 from both sides: 10x = -9-21=-30. Then divide by 10: x = -30/10 = -3. | linear_equation |
734,641 | statistics | easy | What is the mean (average) of 60, 97, 67, 70? | 73.5 | Mean = sum/count. Sum = 60+97+67+70=294. Count=4. Mean=294/4=73.5. | mean |
734,642 | word_problems | easy | If you have 43 pencils and you buy 20 more pencils, how many pencils do you have in total? | 63 | Add initial 43 plus bought 20: 43+20=63. | addition_word |
734,643 | arithmetic | easy | What is 702 - 558? | 144 | Subtract: 702 - 558 = 144. | basic_operations |
734,644 | number_theory | medium | What is the GCD (greatest common divisor) of 15 and 54? | 3 | Find greatest number dividing both 15 and 54. Divisors common, greatest is 3. | gcd |
734,645 | arithmetic | easy | What is 146 + 929? | 1075 | Add the two numbers: 146 + 929 = 1075. | basic_operations |
734,646 | arithmetic | easy | What is 428 + 986 * 82? Remember order of operations. | 81280 | Order of operations (PEMDAS): first 986*82=80852, then 428+80852=81280. | basic_operations |
734,647 | roots | easy | What is the square root of 1521? | 39 | Find number that when squared gives 1521. 39*39=1521, so sqrt(1521)=39. | square_roots |
734,648 | fractions | medium | What is 3/15 * 8/12? Give as simplified fraction. | 2/15 | Multiply numerators: 3*8=24. Denominators: 15*12=180. Simplify by gcd 12 to get 2/15. | fraction_operations |
734,649 | fractions | medium | What is 2/18 + 17/12? Give as simplified fraction. | 55/36 | Common denominator 18*12=216. 2/18=24/216, 17/12=306/216. Sum = 330/216 = 55/36 simplified. | fraction_operations |
734,650 | geometry | easy | Find the perimeter of a rectangle with length 83 and width 70. | 306 | Perimeter = 2*(length+width) = 2*(83+70) = 2*153 = 306. | rectangle_perim |
734,651 | calculus | medium | What is the derivative of 6x^4 with respect to x? | 24x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^4] = 6*4*x^3 = 24x^3. | derivative |
734,652 | arithmetic | easy | What is 543 + 438 * 62? Remember order of operations. | 27699 | Order of operations (PEMDAS): first 438*62=27156, then 543+27156=27699. | basic_operations |
734,653 | word_problems | easy | If you have 61 pencils and you buy 23 more pencils, how many pencils do you have in total? | 84 | Add initial 61 plus bought 23: 61+23=84. | addition_word |
734,654 | geometry | easy | Find the area of a rectangle with length 83 and width 6. | 498 | Area = length * width = 83*6 = 498. | rectangle_area |
734,655 | number_theory | medium | What is the GCD (greatest common divisor) of 59 and 100? | 1 | Find greatest number dividing both 59 and 100. Divisors common, greatest is 1. | gcd |
734,656 | 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 |
734,657 | fractions | medium | What is 2/19 + 5/2? Give as simplified fraction. | 99/38 | Common denominator 19*2=38. 2/19=4/38, 5/2=95/38. Sum = 99/38 = 99/38 simplified. | fraction_operations |
734,658 | algebra | medium | Solve for x: x^2 + 4x + 4 = 0 | x = -2 | Factor as (x - -2)^2 = 0, so root is -2 (double root). Sum of roots = -4, product = 4. | quadratic |
734,659 | arithmetic | easy | What is 547 + 281 * 27? Remember order of operations. | 8134 | Order of operations (PEMDAS): first 281*27=7587, then 547+7587=8134. | basic_operations |
734,660 | roots | easy | What is the square root of 100? | 10 | Find number that when squared gives 100. 10*10=100, so sqrt(100)=10. | square_roots |
734,661 | algebra | medium | Solve for x: x^2 - 8x = 0 | x = 8, 0 | Factor: (x - 8)(x - 0) = x^2 -(8)x + 0 = 0. So x = 8 or 0. Check sum = 8, product = 0. | quadratic |
734,662 | arithmetic | easy | What is 65 * 90? | 5850 | Multiply: 65 * 90 = 5850. | basic_operations |
734,663 | number_theory | medium | What is the GCD (greatest common divisor) of 90 and 92? | 2 | Find greatest number dividing both 90 and 92. Divisors common, greatest is 2. | gcd |
734,664 | geometry | easy | Find the area of a circle with radius 17. Use pi=3.14159, round to 2 decimals. | 907.92 | Area = pi*r^2 = 3.14159*17^2 = 3.14159*289 = 907.92. | circle_area |
734,665 | arithmetic | easy | What is 82 * 5? | 410 | Multiply: 82 * 5 = 410. | basic_operations |
734,666 | arithmetic | easy | What is 27 * 26? | 702 | Multiply: 27 * 26 = 702. | basic_operations |
734,667 | 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 |
734,668 | 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 |
734,669 | fractions | medium | What is 2/7 + 10/7? Give as simplified fraction. | 12/7 | Common denominator 7*7=49. 2/7=14/49, 10/7=70/49. Sum = 84/49 = 12/7 simplified. | fraction_operations |
734,670 | number_theory | medium | What is the GCD (greatest common divisor) of 63 and 62? | 1 | Find greatest number dividing both 63 and 62. Divisors common, greatest is 1. | gcd |
734,671 | fractions | medium | What is 11/3 + 14/4? Give as simplified fraction. | 43/6 | Common denominator 3*4=12. 11/3=44/12, 14/4=42/12. Sum = 86/12 = 43/6 simplified. | fraction_operations |
734,672 | statistics | easy | What is the mean (average) of 63, 22, 11, 42, 15? | 30.6 | Mean = sum/count. Sum = 63+22+11+42+15=153. Count=5. Mean=153/5=30.6. | mean |
734,673 | arithmetic | easy | What is 293 + 979? | 1272 | Add the two numbers: 293 + 979 = 1272. | basic_operations |
734,674 | algebra | easy | Solve for x: 2x - 6 = 28 | 17 | Add 6 to both sides: 2x = 28+6=34. Then x = 34/2 = 17. | linear_equation |
734,675 | number_theory | medium | What is the LCM (least common multiple) of 20 and 3? | 60 | LCM = |20*3| / GCD(20,3). GCD=1, so LCM=60/1=60. | lcm |
734,676 | arithmetic | easy | What is 6588 / 54? | 122 | Divide: 6588 ÷ 54 = 122 because 54*122=6588. | division |
734,677 | 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 |
734,678 | geometry | easy | Find the area of a triangle with base 90 and height 31. | 1395 | Area = 0.5*base*height = 0.5*90*31 = 1395. | triangle_area |
734,679 | statistics | easy | What is the mean (average) of 5, 34, 30, 3, 25? | 19.4 | Mean = sum/count. Sum = 5+34+30+3+25=97. Count=5. Mean=97/5=19.4. | mean |
734,680 | arithmetic | easy | What is 617 + 299 * 39? Remember order of operations. | 12278 | Order of operations (PEMDAS): first 299*39=11661, then 617+11661=12278. | basic_operations |
734,681 | geometry | easy | Find the area of a triangle with base 93 and height 10. | 465 | Area = 0.5*base*height = 0.5*93*10 = 465. | triangle_area |
734,682 | arithmetic | easy | What is 48 * 85? | 4080 | Multiply: 48 * 85 = 4080. | basic_operations |
734,683 | calculus | medium | What is the derivative of 6x^7 with respect to x? | 42x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^7] = 6*7*x^6 = 42x^6. | derivative |
734,684 | 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 |
734,685 | fractions | medium | What is 9/3 * 11/17? Give as simplified fraction. | 33/17 | Multiply numerators: 9*11=99. Denominators: 3*17=51. Simplify by gcd 3 to get 33/17. | fraction_operations |
734,686 | arithmetic | easy | What is 46500 / 100? | 465 | Divide: 46500 ÷ 100 = 465 because 100*465=46500. | division |
734,687 | arithmetic | easy | What is 7 + 432? | 439 | Add the two numbers: 7 + 432 = 439. | basic_operations |
734,688 | arithmetic | easy | What is 684 - 464? | 220 | Subtract: 684 - 464 = 220. | basic_operations |
734,689 | word_problems | easy | If you have 84 pencils and you buy 2 more pencils, how many pencils do you have in total? | 86 | Add initial 84 plus bought 2: 84+2=86. | addition_word |
734,690 | word_problems | easy | If you have 86 dollars and you buy 39 more dollars, how many dollars do you have in total? | 125 | Add initial 86 plus bought 39: 86+39=125. | addition_word |
734,691 | percentages | easy | What is 10% of 866? | 86.6 | Calculate 10/100 * 866 = 0.1*866 = 86.6. | percentages |
734,692 | fractions | medium | What is 14/18 * 8/11? Give as simplified fraction. | 56/99 | Multiply numerators: 14*8=112. Denominators: 18*11=198. Simplify by gcd 2 to get 56/99. | fraction_operations |
734,693 | roots | easy | What is the square root of 169? | 13 | Find number that when squared gives 169. 13*13=169, so sqrt(169)=13. | square_roots |
734,694 | 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 |
734,695 | roots | easy | What is the square root of 81? | 9 | Find number that when squared gives 81. 9*9=81, so sqrt(81)=9. | square_roots |
734,696 | roots | easy | What is the square root of 784? | 28 | Find number that when squared gives 784. 28*28=784, so sqrt(784)=28. | square_roots |
734,697 | 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 |
734,698 | percentages | easy | What is 59% of 978? | 577.02 | Calculate 59/100 * 978 = 0.59*978 = 577.02. | percentages |
734,699 | arithmetic | easy | What is 79 * 91? | 7189 | Multiply: 79 * 91 = 7189. | basic_operations |
734,700 | statistics | easy | What is the mean (average) of 15, 99, 73, 53, 40? | 56 | Mean = sum/count. Sum = 15+99+73+53+40=280. Count=5. Mean=280/5=56.0. | mean |
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