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 |
|---|---|---|---|---|---|---|
8,601 | statistics | easy | What is the mean (average) of 88, 98, 81? | 89 | Mean = sum/count. Sum = 88+98+81=267. Count=3. Mean=267/3=89.0. | mean |
8,602 | percentages | easy | What is 91% of 700? | 637 | Calculate 91/100 * 700 = 0.91*700 = 637. | percentages |
8,603 | algebra | medium | Solve for x: x^2 + 17x + 72 = 0 | x = -9, -8 | Factor: (x - -9)(x - -8) = x^2 -(-17)x + 72 = 0. So x = -9 or -8. Check sum = -17, product = 72. | quadratic |
8,604 | arithmetic | easy | What is 691 - 177? | 514 | Subtract: 691 - 177 = 514. | basic_operations |
8,605 | statistics | easy | What is the mean (average) of 83, 59, 87, 89? | 79.5 | Mean = sum/count. Sum = 83+59+87+89=318. Count=4. Mean=318/4=79.5. | mean |
8,606 | 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 |
8,607 | percentages | easy | What is 77% of 433? | 333.41 | Calculate 77/100 * 433 = 0.77*433 = 333.41. | percentages |
8,608 | 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 |
8,609 | word_problems | easy | If you have 100 dollars and you buy 20 more dollars, how many dollars do you have in total? | 120 | Add initial 100 plus bought 20: 100+20=120. | addition_word |
8,610 | 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 |
8,611 | 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 |
8,612 | geometry | easy | Find the perimeter of a rectangle with length 8 and width 37. | 90 | Perimeter = 2*(length+width) = 2*(8+37) = 2*45 = 90. | rectangle_perim |
8,613 | arithmetic | easy | What is 415 - 292? | 123 | Subtract: 415 - 292 = 123. | basic_operations |
8,614 | fractions | medium | What is 15/11 + 2/13? Give as simplified fraction. | 217/143 | Common denominator 11*13=143. 15/11=195/143, 2/13=22/143. Sum = 217/143 = 217/143 simplified. | fraction_operations |
8,615 | fractions | medium | What is 8/16 - 20/9? Give as simplified fraction. | -31/18 | Common denominator 144. Numerator 72-320=-248. So -248/144 simplifies to -31/18. | fraction_operations |
8,616 | 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 |
8,617 | 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 |
8,618 | word_problems | easy | If you have 53 apples and you buy 35 more apples, how many apples do you have in total? | 88 | Add initial 53 plus bought 35: 53+35=88. | addition_word |
8,619 | calculus | medium | What is the derivative of 1x^8 with respect to x? | 8x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^8] = 1*8*x^7 = 8x^7. | derivative |
8,620 | 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 |
8,621 | statistics | easy | What is the mean (average) of 59, 39, 77? | 58.33 | Mean = sum/count. Sum = 59+39+77=175. Count=3. Mean=175/3=58.33. | mean |
8,622 | arithmetic | easy | What is 820 - 372? | 448 | Subtract: 820 - 372 = 448. | basic_operations |
8,623 | calculus | medium | What is the derivative of 9x^6 with respect to x? | 54x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^6] = 9*6*x^5 = 54x^5. | derivative |
8,624 | arithmetic | easy | What is 5 + 66 * 76? Remember order of operations. | 5021 | Order of operations (PEMDAS): first 66*76=5016, then 5+5016=5021. | basic_operations |
8,625 | roots | easy | What is the square root of 1089? | 33 | Find number that when squared gives 1089. 33*33=1089, so sqrt(1089)=33. | square_roots |
8,626 | calculus | medium | What is the derivative of 5x^3 with respect to x? | 15x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^3] = 5*3*x^2 = 15x^2. | derivative |
8,627 | arithmetic | easy | What is 691 + 365 * 57? Remember order of operations. | 21496 | Order of operations (PEMDAS): first 365*57=20805, then 691+20805=21496. | basic_operations |
8,628 | arithmetic | easy | What is 56 + 27 * 74? Remember order of operations. | 2054 | Order of operations (PEMDAS): first 27*74=1998, then 56+1998=2054. | basic_operations |
8,629 | number_theory | medium | What is the LCM (least common multiple) of 98 and 32? | 1568 | LCM = |98*32| / GCD(98,32). GCD=2, so LCM=3136/2=1568. | lcm |
8,630 | algebra | easy | Solve for x: 15x + 44 = 299 | 17 | Subtract 44 from both sides: 15x = 299-44=255. Then divide by 15: x = 255/15 = 17. | linear_equation |
8,631 | arithmetic | easy | What is 6468 / 14? | 462 | Divide: 6468 ÷ 14 = 462 because 14*462=6468. | division |
8,632 | arithmetic | easy | What is 933 - 718? | 215 | Subtract: 933 - 718 = 215. | basic_operations |
8,633 | arithmetic | easy | What is 986 - 548? | 438 | Subtract: 986 - 548 = 438. | basic_operations |
8,634 | 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 |
8,635 | percentages | easy | What is 22% of 79? | 17.38 | Calculate 22/100 * 79 = 0.22*79 = 17.38. | percentages |
8,636 | percentages | easy | What is 46% of 847? | 389.62 | Calculate 46/100 * 847 = 0.46*847 = 389.62. | percentages |
8,637 | 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 |
8,638 | fractions | medium | What is 2/16 * 7/10? Give as simplified fraction. | 7/80 | Multiply numerators: 2*7=14. Denominators: 16*10=160. Simplify by gcd 2 to get 7/80. | fraction_operations |
8,639 | arithmetic | easy | What is 899 + 778 * 6? Remember order of operations. | 5567 | Order of operations (PEMDAS): first 778*6=4668, then 899+4668=5567. | basic_operations |
8,640 | 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 |
8,641 | algebra | easy | Solve for x: 12x + 28 = 160 | 11 | Subtract 28 from both sides: 12x = 160-28=132. Then divide by 12: x = 132/12 = 11. | linear_equation |
8,642 | algebra | easy | Solve for x: 1x - 8 = -7 | 1 | Add 8 to both sides: 1x = -7+8=1. Then x = 1/1 = 1. | linear_equation |
8,643 | exponents | easy | What is 10^3? | 1000 | 10^3 means multiply 10 by itself 3 times: 10*10*10 = 1000. | exponents |
8,644 | statistics | easy | What is the mean (average) of 14, 92, 79, 19, 9? | 42.6 | Mean = sum/count. Sum = 14+92+79+19+9=213. Count=5. Mean=213/5=42.6. | mean |
8,645 | exponents | easy | What is 9^4? | 6561 | 9^4 means multiply 9 by itself 4 times: 9*9*9*9 = 6561. | exponents |
8,646 | geometry | easy | Find the circumference of a circle with radius 20. Use pi=3.14159, round to 2 decimals. | 125.66 | Circumference = 2*pi*r = 2*3.14159*20 = 125.66. | circle_circum |
8,647 | calculus | medium | What is the derivative of 5x^2 with respect to x? | 10x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^2] = 5*2*x^1 = 10x. | derivative |
8,648 | algebra | medium | Solve for x: x^2 - 5x - 24 = 0 | x = 8, -3 | Factor: (x - 8)(x - -3) = x^2 -(5)x + -24 = 0. So x = 8 or -3. Check sum = 5, product = -24. | quadratic |
8,649 | word_problems | easy | If you have 18 pencils and you buy 31 more pencils, how many pencils do you have in total? | 49 | Add initial 18 plus bought 31: 18+31=49. | addition_word |
8,650 | geometry | easy | Find the circumference of a circle with radius 12. Use pi=3.14159, round to 2 decimals. | 75.4 | Circumference = 2*pi*r = 2*3.14159*12 = 75.4. | circle_circum |
8,651 | arithmetic | easy | What is 441 + 269 * 11? Remember order of operations. | 3400 | Order of operations (PEMDAS): first 269*11=2959, then 441+2959=3400. | basic_operations |
8,652 | roots | easy | What is the square root of 1225? | 35 | Find number that when squared gives 1225. 35*35=1225, so sqrt(1225)=35. | square_roots |
8,653 | arithmetic | easy | What is 829 + 278? | 1107 | Add the two numbers: 829 + 278 = 1107. | basic_operations |
8,654 | algebra | medium | Solve for x: x^2 - 7x + 12 = 0 | x = 3, 4 | Factor: (x - 3)(x - 4) = x^2 -(7)x + 12 = 0. So x = 3 or 4. Check sum = 7, product = 12. | quadratic |
8,655 | 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 |
8,656 | word_problems | easy | If you have 80 pencils and you buy 35 more pencils, how many pencils do you have in total? | 115 | Add initial 80 plus bought 35: 80+35=115. | addition_word |
8,657 | word_problems | easy | If you have 65 dollars and you buy 22 more dollars, how many dollars do you have in total? | 87 | Add initial 65 plus bought 22: 65+22=87. | addition_word |
8,658 | geometry | easy | Find the area of a circle with radius 33. Use pi=3.14159, round to 2 decimals. | 3421.19 | Area = pi*r^2 = 3.14159*33^2 = 3.14159*1089 = 3421.19. | circle_area |
8,659 | geometry | easy | Find the circumference of a circle with radius 49. Use pi=3.14159, round to 2 decimals. | 307.88 | Circumference = 2*pi*r = 2*3.14159*49 = 307.88. | circle_circum |
8,660 | exponents | easy | What is 3^3? | 27 | 3^3 means multiply 3 by itself 3 times: 3*3*3 = 27. | exponents |
8,661 | geometry | easy | Find the area of a rectangle with length 15 and width 79. | 1185 | Area = length * width = 15*79 = 1185. | rectangle_area |
8,662 | algebra | easy | Solve for x: 19x + 38 = -95 | -7 | Subtract 38 from both sides: 19x = -95-38=-133. Then divide by 19: x = -133/19 = -7. | linear_equation |
8,663 | 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 |
8,664 | 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 |
8,665 | 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 |
8,666 | word_problems | easy | If you have 47 apples and you buy 43 more apples, how many apples do you have in total? | 90 | Add initial 47 plus bought 43: 47+43=90. | addition_word |
8,667 | fractions | medium | What is 9/14 * 8/18? Give as simplified fraction. | 2/7 | Multiply numerators: 9*8=72. Denominators: 14*18=252. Simplify by gcd 36 to get 2/7. | fraction_operations |
8,668 | arithmetic | easy | What is 37 * 38? | 1406 | Multiply: 37 * 38 = 1406. | basic_operations |
8,669 | percentages | easy | What is 55% of 737? | 405.35 | Calculate 55/100 * 737 = 0.55*737 = 405.35. | percentages |
8,670 | number_theory | medium | What is the GCD (greatest common divisor) of 53 and 16? | 1 | Find greatest number dividing both 53 and 16. Divisors common, greatest is 1. | gcd |
8,671 | number_theory | medium | What is the LCM (least common multiple) of 53 and 71? | 3763 | LCM = |53*71| / GCD(53,71). GCD=1, so LCM=3763/1=3763. | lcm |
8,672 | algebra | easy | Solve for x: 5x + 39 = 14 | -5 | Subtract 39 from both sides: 5x = 14-39=-25. Then divide by 5: x = -25/5 = -5. | linear_equation |
8,673 | arithmetic | easy | What is 990 + 965? | 1955 | Add the two numbers: 990 + 965 = 1955. | basic_operations |
8,674 | roots | easy | What is the square root of 1600? | 40 | Find number that when squared gives 1600. 40*40=1600, so sqrt(1600)=40. | square_roots |
8,675 | geometry | easy | Find the area of a triangle with base 4 and height 41. | 82 | Area = 0.5*base*height = 0.5*4*41 = 82. | triangle_area |
8,676 | percentages | easy | What is 14% of 388? | 54.32 | Calculate 14/100 * 388 = 0.14*388 = 54.32. | percentages |
8,677 | arithmetic | easy | What is 724 - 135? | 589 | Subtract: 724 - 135 = 589. | basic_operations |
8,678 | exponents | easy | What is 5^3? | 125 | 5^3 means multiply 5 by itself 3 times: 5*5*5 = 125. | exponents |
8,679 | arithmetic | easy | What is 23 * 84? | 1932 | Multiply: 23 * 84 = 1932. | basic_operations |
8,680 | statistics | easy | What is the mean (average) of 69, 53, 82? | 68 | Mean = sum/count. Sum = 69+53+82=204. Count=3. Mean=204/3=68.0. | mean |
8,681 | algebra | medium | Solve for x: x^2 + 2x + 1 = 0 | x = -1 | Factor as (x - -1)^2 = 0, so root is -1 (double root). Sum of roots = -2, product = 1. | quadratic |
8,682 | word_problems | easy | If you have 50 books and you buy 27 more books, how many books do you have in total? | 77 | Add initial 50 plus bought 27: 50+27=77. | addition_word |
8,683 | arithmetic | easy | What is 819 + 826? | 1645 | Add the two numbers: 819 + 826 = 1645. | basic_operations |
8,684 | fractions | medium | What is 18/2 + 16/19? Give as simplified fraction. | 187/19 | Common denominator 2*19=38. 18/2=342/38, 16/19=32/38. Sum = 374/38 = 187/19 simplified. | fraction_operations |
8,685 | statistics | easy | What is the mean (average) of 98, 7, 51, 54, 10? | 44 | Mean = sum/count. Sum = 98+7+51+54+10=220. Count=5. Mean=220/5=44.0. | mean |
8,686 | roots | easy | What is the square root of 2025? | 45 | Find number that when squared gives 2025. 45*45=2025, so sqrt(2025)=45. | square_roots |
8,687 | exponents | easy | What is 7^4? | 2401 | 7^4 means multiply 7 by itself 4 times: 7*7*7*7 = 2401. | exponents |
8,688 | 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 |
8,689 | number_theory | medium | What is the LCM (least common multiple) of 56 and 42? | 168 | LCM = |56*42| / GCD(56,42). GCD=14, so LCM=2352/14=168. | lcm |
8,690 | arithmetic | easy | What is 536 + 953? | 1489 | Add the two numbers: 536 + 953 = 1489. | basic_operations |
8,691 | algebra | medium | Solve for x: x^2 + 6x = 0 | x = 0, -6 | Factor: (x - 0)(x - -6) = x^2 -(-6)x + 0 = 0. So x = 0 or -6. Check sum = -6, product = 0. | quadratic |
8,692 | arithmetic | easy | What is 91 * 70? | 6370 | Multiply: 91 * 70 = 6370. | basic_operations |
8,693 | arithmetic | easy | What is 35 * 50? | 1750 | Multiply: 35 * 50 = 1750. | basic_operations |
8,694 | exponents | easy | What is 4^3? | 64 | 4^3 means multiply 4 by itself 3 times: 4*4*4 = 64. | exponents |
8,695 | exponents | easy | What is 9^2? | 81 | 9^2 means multiply 9 by itself 2 times: 9*9 = 81. | exponents |
8,696 | 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 |
8,697 | arithmetic | easy | What is 249 + 82? | 331 | Add the two numbers: 249 + 82 = 331. | basic_operations |
8,698 | algebra | medium | Solve for x: x^2 - 16x + 63 = 0 | x = 9, 7 | Factor: (x - 9)(x - 7) = x^2 -(16)x + 63 = 0. So x = 9 or 7. Check sum = 16, product = 63. | quadratic |
8,699 | word_problems | easy | If you have 16 books and you buy 47 more books, how many books do you have in total? | 63 | Add initial 16 plus bought 47: 16+47=63. | addition_word |
8,700 | fractions | medium | What is 6/2 - 7/15? Give as simplified fraction. | 38/15 | Common denominator 30. Numerator 90-14=76. So 76/30 simplifies to 38/15. | fraction_operations |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.