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 |
|---|---|---|---|---|---|---|
12,401 | algebra | easy | Solve for x: 7x - 29 = -169 | -20 | Add 29 to both sides: 7x = -169+29=-140. Then x = -140/7 = -20. | linear_equation |
12,402 | arithmetic | easy | What is 8950 / 50? | 179 | Divide: 8950 ÷ 50 = 179 because 50*179=8950. | division |
12,403 | 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 |
12,404 | arithmetic | easy | What is 25152 / 64? | 393 | Divide: 25152 ÷ 64 = 393 because 64*393=25152. | division |
12,405 | word_problems | easy | If you have 48 pencils and you buy 8 more pencils, how many pencils do you have in total? | 56 | Add initial 48 plus bought 8: 48+8=56. | addition_word |
12,406 | algebra | medium | Solve for x: x^2 - 6x + 8 = 0 | x = 2, 4 | Factor: (x - 2)(x - 4) = x^2 -(6)x + 8 = 0. So x = 2 or 4. Check sum = 6, product = 8. | quadratic |
12,407 | statistics | easy | What is the mean (average) of 46, 3, 36, 52, 13? | 30 | Mean = sum/count. Sum = 46+3+36+52+13=150. Count=5. Mean=150/5=30.0. | mean |
12,408 | calculus | medium | What is the derivative of 3x^7 with respect to x? | 21x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^7] = 3*7*x^6 = 21x^6. | derivative |
12,409 | algebra | easy | Solve for x: 17x + 30 = -4 | -2 | Subtract 30 from both sides: 17x = -4-30=-34. Then divide by 17: x = -34/17 = -2. | linear_equation |
12,410 | fractions | medium | What is 20/15 * 12/15? Give as simplified fraction. | 16/15 | Multiply numerators: 20*12=240. Denominators: 15*15=225. Simplify by gcd 15 to get 16/15. | fraction_operations |
12,411 | statistics | easy | What is the mean (average) of 2, 19, 1? | 7.33 | Mean = sum/count. Sum = 2+19+1=22. Count=3. Mean=22/3=7.33. | mean |
12,412 | geometry | easy | Find the area of a triangle with base 63 and height 11. | 346.5 | Area = 0.5*base*height = 0.5*63*11 = 346.5. | triangle_area |
12,413 | arithmetic | easy | What is 44 + 30 * 50? Remember order of operations. | 1544 | Order of operations (PEMDAS): first 30*50=1500, then 44+1500=1544. | basic_operations |
12,414 | calculus | medium | What is the derivative of 5x^8 with respect to x? | 40x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^8] = 5*8*x^7 = 40x^7. | derivative |
12,415 | arithmetic | easy | What is 91 * 96? | 8736 | Multiply: 91 * 96 = 8736. | basic_operations |
12,416 | word_problems | easy | If you have 42 books and you buy 22 more books, how many books do you have in total? | 64 | Add initial 42 plus bought 22: 42+22=64. | addition_word |
12,417 | arithmetic | easy | What is 48 + 46 * 47? Remember order of operations. | 2210 | Order of operations (PEMDAS): first 46*47=2162, then 48+2162=2210. | basic_operations |
12,418 | arithmetic | easy | What is 3 * 55? | 165 | Multiply: 3 * 55 = 165. | basic_operations |
12,419 | number_theory | medium | What is the GCD (greatest common divisor) of 40 and 61? | 1 | Find greatest number dividing both 40 and 61. Divisors common, greatest is 1. | gcd |
12,420 | 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 |
12,421 | geometry | easy | Find the perimeter of a rectangle with length 58 and width 89. | 294 | Perimeter = 2*(length+width) = 2*(58+89) = 2*147 = 294. | rectangle_perim |
12,422 | algebra | easy | Solve for x: 19x - 18 = -151 | -7 | Add 18 to both sides: 19x = -151+18=-133. Then x = -133/19 = -7. | linear_equation |
12,423 | 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 |
12,424 | arithmetic | easy | What is 39 + 977? | 1016 | Add the two numbers: 39 + 977 = 1016. | basic_operations |
12,425 | 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 |
12,426 | arithmetic | easy | What is 661 - 535? | 126 | Subtract: 661 - 535 = 126. | basic_operations |
12,427 | exponents | easy | What is 9^2? | 81 | 9^2 means multiply 9 by itself 2 times: 9*9 = 81. | exponents |
12,428 | algebra | easy | Solve for x: 7x + 3 = -137 | -20 | Subtract 3 from both sides: 7x = -137-3=-140. Then divide by 7: x = -140/7 = -20. | linear_equation |
12,429 | word_problems | easy | If you have 42 candies and you buy 8 more candies, how many candies do you have in total? | 50 | Add initial 42 plus bought 8: 42+8=50. | addition_word |
12,430 | arithmetic | easy | What is 804 + 439 * 2? Remember order of operations. | 1682 | Order of operations (PEMDAS): first 439*2=878, then 804+878=1682. | basic_operations |
12,431 | algebra | medium | Solve for x: x^2 = 0 | x = 0 | Factor as (x - 0)^2 = 0, so root is 0 (double root). Sum of roots = 0, product = 0. | quadratic |
12,432 | fractions | medium | What is 3/8 - 9/4? Give as simplified fraction. | -15/8 | Common denominator 32. Numerator 12-72=-60. So -60/32 simplifies to -15/8. | fraction_operations |
12,433 | 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 |
12,434 | algebra | medium | Solve for x: x^2 + 3x - 70 = 0 | x = 7, -10 | Factor: (x - 7)(x - -10) = x^2 -(-3)x + -70 = 0. So x = 7 or -10. Check sum = -3, product = -70. | quadratic |
12,435 | number_theory | medium | What is the LCM (least common multiple) of 39 and 9? | 117 | LCM = |39*9| / GCD(39,9). GCD=3, so LCM=351/3=117. | lcm |
12,436 | number_theory | medium | What is the GCD (greatest common divisor) of 35 and 87? | 1 | Find greatest number dividing both 35 and 87. Divisors common, greatest is 1. | gcd |
12,437 | arithmetic | easy | What is 6477 / 51? | 127 | Divide: 6477 ÷ 51 = 127 because 51*127=6477. | division |
12,438 | number_theory | medium | What is the LCM (least common multiple) of 99 and 71? | 7029 | LCM = |99*71| / GCD(99,71). GCD=1, so LCM=7029/1=7029. | lcm |
12,439 | algebra | medium | Solve for x: x^2 - 49 = 0 | x = 7, -7 | Factor: (x - 7)(x - -7) = x^2 -(0)x + -49 = 0. So x = 7 or -7. Check sum = 0, product = -49. | quadratic |
12,440 | word_problems | easy | If you have 29 books and you buy 40 more books, how many books do you have in total? | 69 | Add initial 29 plus bought 40: 29+40=69. | addition_word |
12,441 | fractions | medium | What is 20/14 + 20/5? Give as simplified fraction. | 38/7 | Common denominator 14*5=70. 20/14=100/70, 20/5=280/70. Sum = 380/70 = 38/7 simplified. | fraction_operations |
12,442 | algebra | medium | Solve for x: x^2 - 11x + 24 = 0 | x = 8, 3 | Factor: (x - 8)(x - 3) = x^2 -(11)x + 24 = 0. So x = 8 or 3. Check sum = 11, product = 24. | quadratic |
12,443 | number_theory | medium | What is the GCD (greatest common divisor) of 56 and 14? | 14 | Find greatest number dividing both 56 and 14. Divisors common, greatest is 14. | gcd |
12,444 | arithmetic | easy | What is 861 - 801? | 60 | Subtract: 861 - 801 = 60. | basic_operations |
12,445 | 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 |
12,446 | statistics | easy | What is the mean (average) of 34, 60, 72, 46? | 53 | Mean = sum/count. Sum = 34+60+72+46=212. Count=4. Mean=212/4=53.0. | mean |
12,447 | calculus | medium | What is the derivative of 6x^3 with respect to x? | 18x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^3] = 6*3*x^2 = 18x^2. | derivative |
12,448 | arithmetic | easy | What is 569 + 268? | 837 | Add the two numbers: 569 + 268 = 837. | basic_operations |
12,449 | arithmetic | easy | What is 665 + 888? | 1553 | Add the two numbers: 665 + 888 = 1553. | basic_operations |
12,450 | algebra | easy | Solve for x: 12x + 9 = -231 | -20 | Subtract 9 from both sides: 12x = -231-9=-240. Then divide by 12: x = -240/12 = -20. | linear_equation |
12,451 | algebra | medium | Solve for x: x^2 - 9x + 18 = 0 | x = 6, 3 | Factor: (x - 6)(x - 3) = x^2 -(9)x + 18 = 0. So x = 6 or 3. Check sum = 9, product = 18. | quadratic |
12,452 | arithmetic | easy | What is 222 / 3? | 74 | Divide: 222 ÷ 3 = 74 because 3*74=222. | division |
12,453 | arithmetic | easy | What is 4182 / 34? | 123 | Divide: 4182 ÷ 34 = 123 because 34*123=4182. | division |
12,454 | 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 |
12,455 | arithmetic | easy | What is 70 * 98? | 6860 | Multiply: 70 * 98 = 6860. | basic_operations |
12,456 | arithmetic | easy | What is 27370 / 70? | 391 | Divide: 27370 ÷ 70 = 391 because 70*391=27370. | division |
12,457 | number_theory | medium | What is the GCD (greatest common divisor) of 24 and 68? | 4 | Find greatest number dividing both 24 and 68. Divisors common, greatest is 4. | gcd |
12,458 | arithmetic | easy | What is 871 + 882 * 44? Remember order of operations. | 39679 | Order of operations (PEMDAS): first 882*44=38808, then 871+38808=39679. | basic_operations |
12,459 | 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 |
12,460 | percentages | easy | What is 2% of 752? | 15.04 | Calculate 2/100 * 752 = 0.02*752 = 15.04. | percentages |
12,461 | percentages | easy | What is 7% of 233? | 16.31 | Calculate 7/100 * 233 = 0.07*233 = 16.31. | percentages |
12,462 | exponents | easy | What is 2^2? | 4 | 2^2 means multiply 2 by itself 2 times: 2*2 = 4. | exponents |
12,463 | 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 |
12,464 | statistics | easy | What is the mean (average) of 52, 76, 19, 90? | 59.25 | Mean = sum/count. Sum = 52+76+19+90=237. Count=4. Mean=237/4=59.25. | mean |
12,465 | arithmetic | easy | What is 596 + 886? | 1482 | Add the two numbers: 596 + 886 = 1482. | basic_operations |
12,466 | 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 |
12,467 | statistics | easy | What is the mean (average) of 75, 59, 5? | 46.33 | Mean = sum/count. Sum = 75+59+5=139. Count=3. Mean=139/3=46.33. | mean |
12,468 | number_theory | medium | What is the LCM (least common multiple) of 63 and 38? | 2394 | LCM = |63*38| / GCD(63,38). GCD=1, so LCM=2394/1=2394. | lcm |
12,469 | number_theory | medium | What is the GCD (greatest common divisor) of 91 and 36? | 1 | Find greatest number dividing both 91 and 36. Divisors common, greatest is 1. | gcd |
12,470 | 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 |
12,471 | arithmetic | easy | What is 5240 divided by 41? Give answer to 2 decimal places. | 127.8 | Calculate 5240/ 41 = 127.8049, rounded to 2 decimals is 127.8. | division |
12,472 | 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 |
12,473 | fractions | medium | What is 18/11 * 8/5? Give as simplified fraction. | 144/55 | Multiply numerators: 18*8=144. Denominators: 11*5=55. Simplify by gcd 1 to get 144/55. | fraction_operations |
12,474 | 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 |
12,475 | number_theory | medium | What is the LCM (least common multiple) of 53 and 64? | 3392 | LCM = |53*64| / GCD(53,64). GCD=1, so LCM=3392/1=3392. | lcm |
12,476 | 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 |
12,477 | word_problems | easy | If you have 84 pencils and you buy 11 more pencils, how many pencils do you have in total? | 95 | Add initial 84 plus bought 11: 84+11=95. | addition_word |
12,478 | 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 |
12,479 | percentages | easy | What is 22% of 734? | 161.48 | Calculate 22/100 * 734 = 0.22*734 = 161.48. | percentages |
12,480 | statistics | easy | What is the mean (average) of 22, 34, 30? | 28.67 | Mean = sum/count. Sum = 22+34+30=86. Count=3. Mean=86/3=28.67. | mean |
12,481 | statistics | easy | What is the mean (average) of 25, 87, 82? | 64.67 | Mean = sum/count. Sum = 25+87+82=194. Count=3. Mean=194/3=64.67. | mean |
12,482 | arithmetic | easy | What is 683 - 585? | 98 | Subtract: 683 - 585 = 98. | basic_operations |
12,483 | roots | easy | What is the square root of 1936? | 44 | Find number that when squared gives 1936. 44*44=1936, so sqrt(1936)=44. | square_roots |
12,484 | arithmetic | easy | What is 1155 / 35? | 33 | Divide: 1155 ÷ 35 = 33 because 35*33=1155. | division |
12,485 | fractions | medium | What is 1/16 * 13/18? Give as simplified fraction. | 13/288 | Multiply numerators: 1*13=13. Denominators: 16*18=288. Simplify by gcd 1 to get 13/288. | fraction_operations |
12,486 | percentages | easy | What is 20% of 973? | 194.6 | Calculate 20/100 * 973 = 0.2*973 = 194.6. | percentages |
12,487 | word_problems | easy | If you have 54 pencils and you buy 45 more pencils, how many pencils do you have in total? | 99 | Add initial 54 plus bought 45: 54+45=99. | addition_word |
12,488 | arithmetic | easy | What is 657 + 649 * 96? Remember order of operations. | 62961 | Order of operations (PEMDAS): first 649*96=62304, then 657+62304=62961. | basic_operations |
12,489 | number_theory | medium | What is the GCD (greatest common divisor) of 93 and 81? | 3 | Find greatest number dividing both 93 and 81. Divisors common, greatest is 3. | gcd |
12,490 | arithmetic | easy | What is 25172 / 62? | 406 | Divide: 25172 ÷ 62 = 406 because 62*406=25172. | division |
12,491 | geometry | easy | Find the perimeter of a rectangle with length 31 and width 55. | 172 | Perimeter = 2*(length+width) = 2*(31+55) = 2*86 = 172. | rectangle_perim |
12,492 | percentages | easy | What is 57% of 257? | 146.49 | Calculate 57/100 * 257 = 0.57*257 = 146.49. | percentages |
12,493 | fractions | medium | What is 15/9 + 18/3? Give as simplified fraction. | 23/3 | Common denominator 9*3=27. 15/9=45/27, 18/3=162/27. Sum = 207/27 = 23/3 simplified. | fraction_operations |
12,494 | fractions | medium | What is 3/18 - 9/8? Give as simplified fraction. | -23/24 | Common denominator 144. Numerator 24-162=-138. So -138/144 simplifies to -23/24. | fraction_operations |
12,495 | arithmetic | easy | What is 353 - 193? | 160 | Subtract: 353 - 193 = 160. | basic_operations |
12,496 | 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 |
12,497 | algebra | easy | Solve for x: 14x - 35 = -259 | -16 | Add 35 to both sides: 14x = -259+35=-224. Then x = -224/14 = -16. | linear_equation |
12,498 | arithmetic | easy | What is 14172 divided by 96? Give answer to 2 decimal places. | 147.62 | Calculate 14172/ 96 = 147.6250, rounded to 2 decimals is 147.62. | division |
12,499 | algebra | medium | Solve for x: x^2 + 6x - 40 = 0 | x = -10, 4 | Factor: (x - -10)(x - 4) = x^2 -(-6)x + -40 = 0. So x = -10 or 4. Check sum = -6, product = -40. | quadratic |
12,500 | fractions | medium | What is 9/16 + 18/17? Give as simplified fraction. | 441/272 | Common denominator 16*17=272. 9/16=153/272, 18/17=288/272. Sum = 441/272 = 441/272 simplified. | fraction_operations |
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