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 |
|---|---|---|---|---|---|---|
6,401 | 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 |
6,402 | geometry | easy | Find the circumference of a circle with radius 19. Use pi=3.14159, round to 2 decimals. | 119.38 | Circumference = 2*pi*r = 2*3.14159*19 = 119.38. | circle_circum |
6,403 | arithmetic | easy | What is 799 + 278 * 64? Remember order of operations. | 18591 | Order of operations (PEMDAS): first 278*64=17792, then 799+17792=18591. | basic_operations |
6,404 | 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 |
6,405 | algebra | easy | Solve for x: 8x - 10 = -138 | -16 | Add 10 to both sides: 8x = -138+10=-128. Then x = -128/8 = -16. | linear_equation |
6,406 | arithmetic | easy | What is 858 - 709? | 149 | Subtract: 858 - 709 = 149. | basic_operations |
6,407 | arithmetic | easy | What is 806 + 483? | 1289 | Add the two numbers: 806 + 483 = 1289. | basic_operations |
6,408 | number_theory | medium | What is the GCD (greatest common divisor) of 12 and 62? | 2 | Find greatest number dividing both 12 and 62. Divisors common, greatest is 2. | gcd |
6,409 | algebra | medium | Solve for x: x^2 - 15x + 56 = 0 | x = 7, 8 | Factor: (x - 7)(x - 8) = x^2 -(15)x + 56 = 0. So x = 7 or 8. Check sum = 15, product = 56. | quadratic |
6,410 | number_theory | medium | What is the LCM (least common multiple) of 11 and 35? | 385 | LCM = |11*35| / GCD(11,35). GCD=1, so LCM=385/1=385. | lcm |
6,411 | 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 |
6,412 | arithmetic | easy | What is 46 + 66 * 10? Remember order of operations. | 706 | Order of operations (PEMDAS): first 66*10=660, then 46+660=706. | basic_operations |
6,413 | number_theory | medium | What is the GCD (greatest common divisor) of 70 and 95? | 5 | Find greatest number dividing both 70 and 95. Divisors common, greatest is 5. | gcd |
6,414 | arithmetic | easy | What is 19737 / 43? | 459 | Divide: 19737 ÷ 43 = 459 because 43*459=19737. | division |
6,415 | geometry | easy | Find the area of a triangle with base 51 and height 86. | 2193 | Area = 0.5*base*height = 0.5*51*86 = 2193. | triangle_area |
6,416 | number_theory | medium | What is the GCD (greatest common divisor) of 32 and 78? | 2 | Find greatest number dividing both 32 and 78. Divisors common, greatest is 2. | gcd |
6,417 | calculus | medium | What is the derivative of 8x^2 with respect to x? | 16x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^2] = 8*2*x^1 = 16x. | derivative |
6,418 | statistics | easy | What is the mean (average) of 7, 37, 2? | 15.33 | Mean = sum/count. Sum = 7+37+2=46. Count=3. Mean=46/3=15.33. | mean |
6,419 | percentages | easy | What is 2% of 735? | 14.7 | Calculate 2/100 * 735 = 0.02*735 = 14.7. | percentages |
6,420 | exponents | easy | What is 7^4? | 2401 | 7^4 means multiply 7 by itself 4 times: 7*7*7*7 = 2401. | exponents |
6,421 | arithmetic | easy | What is 10082 / 71? | 142 | Divide: 10082 ÷ 71 = 142 because 71*142=10082. | division |
6,422 | algebra | easy | Solve for x: 6x - 40 = 44 | 14 | Add 40 to both sides: 6x = 44+40=84. Then x = 84/6 = 14. | linear_equation |
6,423 | arithmetic | easy | What is 698 - 215? | 483 | Subtract: 698 - 215 = 483. | basic_operations |
6,424 | algebra | medium | Solve for x: x^2 + 12x + 27 = 0 | x = -9, -3 | Factor: (x - -9)(x - -3) = x^2 -(-12)x + 27 = 0. So x = -9 or -3. Check sum = -12, product = 27. | quadratic |
6,425 | number_theory | medium | What is the LCM (least common multiple) of 70 and 71? | 4970 | LCM = |70*71| / GCD(70,71). GCD=1, so LCM=4970/1=4970. | lcm |
6,426 | geometry | easy | Find the area of a rectangle with length 85 and width 57. | 4845 | Area = length * width = 85*57 = 4845. | rectangle_area |
6,427 | arithmetic | easy | What is 156 + 402? | 558 | Add the two numbers: 156 + 402 = 558. | basic_operations |
6,428 | roots | easy | What is the square root of 36? | 6 | Find number that when squared gives 36. 6*6=36, so sqrt(36)=6. | square_roots |
6,429 | calculus | medium | What is the derivative of 7x^4 with respect to x? | 28x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^4] = 7*4*x^3 = 28x^3. | derivative |
6,430 | fractions | medium | What is 7/9 + 11/15? Give as simplified fraction. | 68/45 | Common denominator 9*15=135. 7/9=105/135, 11/15=99/135. Sum = 204/135 = 68/45 simplified. | fraction_operations |
6,431 | fractions | medium | What is 2/8 - 20/16? Give as simplified fraction. | -1 | Common denominator 128. Numerator 32-160=-128. So -128/128 simplifies to -1. | fraction_operations |
6,432 | geometry | easy | Find the area of a rectangle with length 65 and width 65. | 4225 | Area = length * width = 65*65 = 4225. | rectangle_area |
6,433 | arithmetic | easy | What is 788 + 781 * 56? Remember order of operations. | 44524 | Order of operations (PEMDAS): first 781*56=43736, then 788+43736=44524. | basic_operations |
6,434 | statistics | easy | What is the mean (average) of 77, 22, 6? | 35 | Mean = sum/count. Sum = 77+22+6=105. Count=3. Mean=105/3=35.0. | mean |
6,435 | arithmetic | easy | What is 28002 / 78? | 359 | Divide: 28002 ÷ 78 = 359 because 78*359=28002. | division |
6,436 | percentages | easy | What is 11% of 95? | 10.45 | Calculate 11/100 * 95 = 0.11*95 = 10.45. | percentages |
6,437 | fractions | medium | What is 5/14 + 13/5? Give as simplified fraction. | 207/70 | Common denominator 14*5=70. 5/14=25/70, 13/5=182/70. Sum = 207/70 = 207/70 simplified. | fraction_operations |
6,438 | 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 |
6,439 | geometry | easy | Find the area of a triangle with base 44 and height 72. | 1584 | Area = 0.5*base*height = 0.5*44*72 = 1584. | triangle_area |
6,440 | arithmetic | easy | What is 352 + 167 * 52? Remember order of operations. | 9036 | Order of operations (PEMDAS): first 167*52=8684, then 352+8684=9036. | basic_operations |
6,441 | arithmetic | easy | What is 4891 divided by 16? Give answer to 2 decimal places. | 305.69 | Calculate 4891/ 16 = 305.6875, rounded to 2 decimals is 305.69. | division |
6,442 | arithmetic | easy | What is 21 + 19 * 88? Remember order of operations. | 1693 | Order of operations (PEMDAS): first 19*88=1672, then 21+1672=1693. | basic_operations |
6,443 | percentages | easy | What is 77% of 927? | 713.79 | Calculate 77/100 * 927 = 0.77*927 = 713.79. | percentages |
6,444 | statistics | easy | What is the mean (average) of 1, 61, 62, 35, 47? | 41.2 | Mean = sum/count. Sum = 1+61+62+35+47=206. Count=5. Mean=206/5=41.2. | mean |
6,445 | geometry | easy | Find the area of a circle with radius 31. Use pi=3.14159, round to 2 decimals. | 3019.07 | Area = pi*r^2 = 3.14159*31^2 = 3.14159*961 = 3019.07. | circle_area |
6,446 | arithmetic | easy | What is 99 * 18? | 1782 | Multiply: 99 * 18 = 1782. | basic_operations |
6,447 | fractions | medium | What is 3/16 - 3/11? Give as simplified fraction. | -15/176 | Common denominator 176. Numerator 33-48=-15. So -15/176 simplifies to -15/176. | fraction_operations |
6,448 | arithmetic | easy | What is 843 - 633? | 210 | Subtract: 843 - 633 = 210. | basic_operations |
6,449 | geometry | easy | Find the circumference of a circle with radius 32. Use pi=3.14159, round to 2 decimals. | 201.06 | Circumference = 2*pi*r = 2*3.14159*32 = 201.06. | circle_circum |
6,450 | 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 |
6,451 | 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 |
6,452 | percentages | easy | What is 42% of 720? | 302.4 | Calculate 42/100 * 720 = 0.42*720 = 302.4. | percentages |
6,453 | calculus | medium | What is the derivative of 6x^2 with respect to x? | 12x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^2] = 6*2*x^1 = 12x. | derivative |
6,454 | percentages | easy | What is 2% of 142? | 2.84 | Calculate 2/100 * 142 = 0.02*142 = 2.84. | percentages |
6,455 | calculus | medium | What is the derivative of 9x^2 with respect to x? | 18x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^2] = 9*2*x^1 = 18x. | derivative |
6,456 | exponents | easy | What is 2^3? | 8 | 2^3 means multiply 2 by itself 3 times: 2*2*2 = 8. | exponents |
6,457 | number_theory | medium | What is the LCM (least common multiple) of 63 and 72? | 504 | LCM = |63*72| / GCD(63,72). GCD=9, so LCM=4536/9=504. | lcm |
6,458 | arithmetic | easy | What is 52 * 7? | 364 | Multiply: 52 * 7 = 364. | basic_operations |
6,459 | arithmetic | easy | What is 403 - 243? | 160 | Subtract: 403 - 243 = 160. | basic_operations |
6,460 | 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 |
6,461 | arithmetic | easy | What is 68 + 83 * 17? Remember order of operations. | 1479 | Order of operations (PEMDAS): first 83*17=1411, then 68+1411=1479. | basic_operations |
6,462 | 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 |
6,463 | arithmetic | easy | What is 639 + 559 * 76? Remember order of operations. | 43123 | Order of operations (PEMDAS): first 559*76=42484, then 639+42484=43123. | basic_operations |
6,464 | fractions | medium | What is 19/3 + 19/5? Give as simplified fraction. | 152/15 | Common denominator 3*5=15. 19/3=95/15, 19/5=57/15. Sum = 152/15 = 152/15 simplified. | fraction_operations |
6,465 | arithmetic | easy | What is 4 * 19? | 76 | Multiply: 4 * 19 = 76. | basic_operations |
6,466 | arithmetic | easy | What is 623 + 269? | 892 | Add the two numbers: 623 + 269 = 892. | basic_operations |
6,467 | word_problems | easy | If you have 52 candies and you buy 37 more candies, how many candies do you have in total? | 89 | Add initial 52 plus bought 37: 52+37=89. | addition_word |
6,468 | number_theory | medium | What is the GCD (greatest common divisor) of 30 and 15? | 15 | Find greatest number dividing both 30 and 15. Divisors common, greatest is 15. | gcd |
6,469 | calculus | medium | What is the derivative of 1x^2 with respect to x? | 2x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^2] = 1*2*x^1 = 2x. | derivative |
6,470 | 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 |
6,471 | algebra | easy | Solve for x: 15x - 6 = 159 | 11 | Add 6 to both sides: 15x = 159+6=165. Then x = 165/15 = 11. | linear_equation |
6,472 | exponents | easy | What is 12^4? | 20736 | 12^4 means multiply 12 by itself 4 times: 12*12*12*12 = 20736. | exponents |
6,473 | 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 |
6,474 | algebra | easy | Solve for x: 2x - 10 = -14 | -2 | Add 10 to both sides: 2x = -14+10=-4. Then x = -4/2 = -2. | linear_equation |
6,475 | exponents | easy | What is 6^4? | 1296 | 6^4 means multiply 6 by itself 4 times: 6*6*6*6 = 1296. | exponents |
6,476 | percentages | easy | What is 66% of 93? | 61.38 | Calculate 66/100 * 93 = 0.66*93 = 61.38. | percentages |
6,477 | arithmetic | easy | What is 657 / 73? | 9 | Divide: 657 ÷ 73 = 9 because 73*9=657. | division |
6,478 | 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 |
6,479 | fractions | medium | What is 10/11 - 11/14? Give as simplified fraction. | 19/154 | Common denominator 154. Numerator 140-121=19. So 19/154 simplifies to 19/154. | fraction_operations |
6,480 | algebra | medium | Solve for x: x^2 - 4x - 45 = 0 | x = -5, 9 | Factor: (x - -5)(x - 9) = x^2 -(4)x + -45 = 0. So x = -5 or 9. Check sum = 4, product = -45. | quadratic |
6,481 | number_theory | medium | What is the LCM (least common multiple) of 20 and 16? | 80 | LCM = |20*16| / GCD(20,16). GCD=4, so LCM=320/4=80. | lcm |
6,482 | statistics | easy | What is the mean (average) of 41, 90, 53? | 61.33 | Mean = sum/count. Sum = 41+90+53=184. Count=3. Mean=184/3=61.33. | mean |
6,483 | calculus | medium | What is the derivative of 4x^2 with respect to x? | 8x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^2] = 4*2*x^1 = 8x. | derivative |
6,484 | 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 |
6,485 | 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 |
6,486 | algebra | easy | Solve for x: 10x + 19 = 89 | 7 | Subtract 19 from both sides: 10x = 89-19=70. Then divide by 10: x = 70/10 = 7. | linear_equation |
6,487 | arithmetic | easy | What is 459 - 11? | 448 | Subtract: 459 - 11 = 448. | basic_operations |
6,488 | algebra | easy | Solve for x: 14x + 1 = -265 | -19 | Subtract 1 from both sides: 14x = -265-1=-266. Then divide by 14: x = -266/14 = -19. | linear_equation |
6,489 | algebra | easy | Solve for x: 7x - 5 = -117 | -16 | Add 5 to both sides: 7x = -117+5=-112. Then x = -112/7 = -16. | linear_equation |
6,490 | number_theory | medium | What is the GCD (greatest common divisor) of 65 and 47? | 1 | Find greatest number dividing both 65 and 47. Divisors common, greatest is 1. | gcd |
6,491 | arithmetic | easy | What is 1 * 9? | 9 | Multiply: 1 * 9 = 9. | basic_operations |
6,492 | arithmetic | easy | What is 509 - 434? | 75 | Subtract: 509 - 434 = 75. | basic_operations |
6,493 | number_theory | medium | What is the GCD (greatest common divisor) of 68 and 57? | 1 | Find greatest number dividing both 68 and 57. Divisors common, greatest is 1. | gcd |
6,494 | number_theory | medium | What is the LCM (least common multiple) of 17 and 23? | 391 | LCM = |17*23| / GCD(17,23). GCD=1, so LCM=391/1=391. | lcm |
6,495 | exponents | easy | What is 3^3? | 27 | 3^3 means multiply 3 by itself 3 times: 3*3*3 = 27. | exponents |
6,496 | percentages | easy | What is 76% of 335? | 254.6 | Calculate 76/100 * 335 = 0.76*335 = 254.6. | percentages |
6,497 | exponents | easy | What is 9^4? | 6561 | 9^4 means multiply 9 by itself 4 times: 9*9*9*9 = 6561. | exponents |
6,498 | arithmetic | easy | What is 96 + 47 * 34? Remember order of operations. | 1694 | Order of operations (PEMDAS): first 47*34=1598, then 96+1598=1694. | basic_operations |
6,499 | 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 |
6,500 | word_problems | easy | If you have 79 dollars and you buy 4 more dollars, how many dollars do you have in total? | 83 | Add initial 79 plus bought 4: 79+4=83. | addition_word |
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