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 |
|---|---|---|---|---|---|---|
1,301 | 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 |
1,302 | calculus | medium | What is the derivative of 2x^8 with respect to x? | 16x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^8] = 2*8*x^7 = 16x^7. | derivative |
1,303 | arithmetic | easy | What is 352 - 166? | 186 | Subtract: 352 - 166 = 186. | basic_operations |
1,304 | exponents | easy | What is 6^5? | 7776 | 6^5 means multiply 6 by itself 5 times: 6*6*6*6*6 = 7776. | exponents |
1,305 | geometry | easy | Find the circumference of a circle with radius 50. Use pi=3.14159, round to 2 decimals. | 314.16 | Circumference = 2*pi*r = 2*3.14159*50 = 314.16. | circle_circum |
1,306 | number_theory | medium | What is the LCM (least common multiple) of 96 and 76? | 1824 | LCM = |96*76| / GCD(96,76). GCD=4, so LCM=7296/4=1824. | lcm |
1,307 | 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 |
1,308 | algebra | medium | Solve for x: x^2 + 16x + 60 = 0 | x = -10, -6 | Factor: (x - -10)(x - -6) = x^2 -(-16)x + 60 = 0. So x = -10 or -6. Check sum = -16, product = 60. | quadratic |
1,309 | percentages | easy | What is 85% of 258? | 219.3 | Calculate 85/100 * 258 = 0.85*258 = 219.3. | percentages |
1,310 | arithmetic | easy | What is 216 + 171 * 51? Remember order of operations. | 8937 | Order of operations (PEMDAS): first 171*51=8721, then 216+8721=8937. | basic_operations |
1,311 | statistics | easy | What is the mean (average) of 7, 4, 99, 51, 68? | 45.8 | Mean = sum/count. Sum = 7+4+99+51+68=229. Count=5. Mean=229/5=45.8. | mean |
1,312 | arithmetic | easy | What is 107 + 269 * 80? Remember order of operations. | 21627 | Order of operations (PEMDAS): first 269*80=21520, then 107+21520=21627. | basic_operations |
1,313 | calculus | medium | What is the derivative of 4x^4 with respect to x? | 16x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^4] = 4*4*x^3 = 16x^3. | derivative |
1,314 | percentages | easy | What is 95% of 291? | 276.45 | Calculate 95/100 * 291 = 0.95*291 = 276.45. | percentages |
1,315 | word_problems | easy | If you have 85 books and you buy 9 more books, how many books do you have in total? | 94 | Add initial 85 plus bought 9: 85+9=94. | addition_word |
1,316 | 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 |
1,317 | number_theory | medium | What is the LCM (least common multiple) of 42 and 61? | 2562 | LCM = |42*61| / GCD(42,61). GCD=1, so LCM=2562/1=2562. | lcm |
1,318 | geometry | easy | Find the area of a triangle with base 57 and height 18. | 513 | Area = 0.5*base*height = 0.5*57*18 = 513. | triangle_area |
1,319 | algebra | medium | Solve for x: x^2 - 17x + 72 = 0 | x = 8, 9 | Factor: (x - 8)(x - 9) = x^2 -(17)x + 72 = 0. So x = 8 or 9. Check sum = 17, product = 72. | quadratic |
1,320 | word_problems | easy | If you have 85 pencils and you buy 48 more pencils, how many pencils do you have in total? | 133 | Add initial 85 plus bought 48: 85+48=133. | addition_word |
1,321 | 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 |
1,322 | exponents | easy | What is 7^5? | 16807 | 7^5 means multiply 7 by itself 5 times: 7*7*7*7*7 = 16807. | exponents |
1,323 | percentages | easy | What is 12% of 453? | 54.36 | Calculate 12/100 * 453 = 0.12*453 = 54.36. | percentages |
1,324 | exponents | easy | What is 7^5? | 16807 | 7^5 means multiply 7 by itself 5 times: 7*7*7*7*7 = 16807. | exponents |
1,325 | geometry | easy | Find the perimeter of a rectangle with length 39 and width 2. | 82 | Perimeter = 2*(length+width) = 2*(39+2) = 2*41 = 82. | rectangle_perim |
1,326 | arithmetic | easy | What is 536 + 835? | 1371 | Add the two numbers: 536 + 835 = 1371. | basic_operations |
1,327 | statistics | easy | What is the mean (average) of 2, 89, 63, 97, 62? | 62.6 | Mean = sum/count. Sum = 2+89+63+97+62=313. Count=5. Mean=313/5=62.6. | mean |
1,328 | exponents | easy | What is 2^5? | 32 | 2^5 means multiply 2 by itself 5 times: 2*2*2*2*2 = 32. | exponents |
1,329 | exponents | easy | What is 11^3? | 1331 | 11^3 means multiply 11 by itself 3 times: 11*11*11 = 1331. | exponents |
1,330 | arithmetic | easy | What is 562 - 383? | 179 | Subtract: 562 - 383 = 179. | basic_operations |
1,331 | 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 |
1,332 | percentages | easy | What is 21% of 733? | 153.93 | Calculate 21/100 * 733 = 0.21*733 = 153.93. | percentages |
1,333 | calculus | medium | What is the derivative of 7x^8 with respect to x? | 56x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^8] = 7*8*x^7 = 56x^7. | derivative |
1,334 | percentages | easy | What is 34% of 82? | 27.88 | Calculate 34/100 * 82 = 0.34*82 = 27.88. | percentages |
1,335 | 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 |
1,336 | percentages | easy | What is 67% of 783? | 524.61 | Calculate 67/100 * 783 = 0.67*783 = 524.61. | percentages |
1,337 | geometry | easy | Find the area of a circle with radius 42. Use pi=3.14159, round to 2 decimals. | 5541.77 | Area = pi*r^2 = 3.14159*42^2 = 3.14159*1764 = 5541.77. | circle_area |
1,338 | geometry | easy | Find the circumference of a circle with radius 13. Use pi=3.14159, round to 2 decimals. | 81.68 | Circumference = 2*pi*r = 2*3.14159*13 = 81.68. | circle_circum |
1,339 | arithmetic | easy | What is 187 + 140? | 327 | Add the two numbers: 187 + 140 = 327. | basic_operations |
1,340 | word_problems | easy | If you have 39 pencils and you buy 45 more pencils, how many pencils do you have in total? | 84 | Add initial 39 plus bought 45: 39+45=84. | addition_word |
1,341 | statistics | easy | What is the mean (average) of 42, 3, 20? | 21.67 | Mean = sum/count. Sum = 42+3+20=65. Count=3. Mean=65/3=21.67. | mean |
1,342 | arithmetic | easy | What is 993 + 548? | 1541 | Add the two numbers: 993 + 548 = 1541. | basic_operations |
1,343 | exponents | easy | What is 6^3? | 216 | 6^3 means multiply 6 by itself 3 times: 6*6*6 = 216. | exponents |
1,344 | word_problems | easy | If you have 98 books and you buy 1 more books, how many books do you have in total? | 99 | Add initial 98 plus bought 1: 98+1=99. | addition_word |
1,345 | arithmetic | easy | What is 155 + 16? | 171 | Add the two numbers: 155 + 16 = 171. | basic_operations |
1,346 | exponents | easy | What is 9^4? | 6561 | 9^4 means multiply 9 by itself 4 times: 9*9*9*9 = 6561. | exponents |
1,347 | word_problems | easy | If you have 94 dollars and you buy 3 more dollars, how many dollars do you have in total? | 97 | Add initial 94 plus bought 3: 94+3=97. | addition_word |
1,348 | arithmetic | easy | What is 864 + 769 * 19? Remember order of operations. | 15475 | Order of operations (PEMDAS): first 769*19=14611, then 864+14611=15475. | basic_operations |
1,349 | 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 |
1,350 | statistics | easy | What is the mean (average) of 25, 33, 49? | 35.67 | Mean = sum/count. Sum = 25+33+49=107. Count=3. Mean=107/3=35.67. | mean |
1,351 | arithmetic | easy | What is 32 * 50? | 1600 | Multiply: 32 * 50 = 1600. | basic_operations |
1,352 | word_problems | easy | If you have 36 apples and you buy 48 more apples, how many apples do you have in total? | 84 | Add initial 36 plus bought 48: 36+48=84. | addition_word |
1,353 | fractions | medium | What is 15/5 - 17/8? Give as simplified fraction. | 7/8 | Common denominator 40. Numerator 120-85=35. So 35/40 simplifies to 7/8. | fraction_operations |
1,354 | calculus | medium | What is the derivative of 5x^7 with respect to x? | 35x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^7] = 5*7*x^6 = 35x^6. | derivative |
1,355 | roots | easy | What is the square root of 121? | 11 | Find number that when squared gives 121. 11*11=121, so sqrt(121)=11. | square_roots |
1,356 | arithmetic | easy | What is 16 * 33? | 528 | Multiply: 16 * 33 = 528. | basic_operations |
1,357 | exponents | easy | What is 5^4? | 625 | 5^4 means multiply 5 by itself 4 times: 5*5*5*5 = 625. | exponents |
1,358 | arithmetic | easy | What is 885 + 683 * 28? Remember order of operations. | 20009 | Order of operations (PEMDAS): first 683*28=19124, then 885+19124=20009. | basic_operations |
1,359 | 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 |
1,360 | arithmetic | easy | What is 16 * 51? | 816 | Multiply: 16 * 51 = 816. | basic_operations |
1,361 | arithmetic | easy | What is 61 * 89? | 5429 | Multiply: 61 * 89 = 5429. | basic_operations |
1,362 | number_theory | medium | What is the GCD (greatest common divisor) of 99 and 12? | 3 | Find greatest number dividing both 99 and 12. Divisors common, greatest is 3. | gcd |
1,363 | 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 |
1,364 | roots | easy | What is the square root of 2401? | 49 | Find number that when squared gives 2401. 49*49=2401, so sqrt(2401)=49. | square_roots |
1,365 | arithmetic | easy | What is 62 + 365? | 427 | Add the two numbers: 62 + 365 = 427. | basic_operations |
1,366 | arithmetic | easy | What is 4500 / 18? | 250 | Divide: 4500 ÷ 18 = 250 because 18*250=4500. | division |
1,367 | number_theory | medium | What is the GCD (greatest common divisor) of 57 and 94? | 1 | Find greatest number dividing both 57 and 94. Divisors common, greatest is 1. | gcd |
1,368 | arithmetic | easy | What is 18 * 33? | 594 | Multiply: 18 * 33 = 594. | basic_operations |
1,369 | statistics | easy | What is the mean (average) of 57, 72, 38, 70, 90? | 65.4 | Mean = sum/count. Sum = 57+72+38+70+90=327. Count=5. Mean=327/5=65.4. | mean |
1,370 | statistics | easy | What is the mean (average) of 73, 24, 70? | 55.67 | Mean = sum/count. Sum = 73+24+70=167. Count=3. Mean=167/3=55.67. | mean |
1,371 | number_theory | medium | What is the LCM (least common multiple) of 42 and 94? | 1974 | LCM = |42*94| / GCD(42,94). GCD=2, so LCM=3948/2=1974. | lcm |
1,372 | geometry | easy | Find the area of a triangle with base 71 and height 21. | 745.5 | Area = 0.5*base*height = 0.5*71*21 = 745.5. | triangle_area |
1,373 | arithmetic | easy | What is 544 - 159? | 385 | Subtract: 544 - 159 = 385. | basic_operations |
1,374 | number_theory | medium | What is the LCM (least common multiple) of 59 and 1? | 59 | LCM = |59*1| / GCD(59,1). GCD=1, so LCM=59/1=59. | lcm |
1,375 | algebra | medium | Solve for x: x^2 + 1x - 90 = 0 | x = -10, 9 | Factor: (x - -10)(x - 9) = x^2 -(-1)x + -90 = 0. So x = -10 or 9. Check sum = -1, product = -90. | quadratic |
1,376 | number_theory | medium | What is the GCD (greatest common divisor) of 100 and 80? | 20 | Find greatest number dividing both 100 and 80. Divisors common, greatest is 20. | gcd |
1,377 | roots | easy | What is the square root of 2209? | 47 | Find number that when squared gives 2209. 47*47=2209, so sqrt(2209)=47. | square_roots |
1,378 | arithmetic | easy | What is 991 + 675 * 69? Remember order of operations. | 47566 | Order of operations (PEMDAS): first 675*69=46575, then 991+46575=47566. | basic_operations |
1,379 | statistics | easy | What is the mean (average) of 20, 79, 37, 42, 53? | 46.2 | Mean = sum/count. Sum = 20+79+37+42+53=231. Count=5. Mean=231/5=46.2. | mean |
1,380 | roots | easy | What is the square root of 64? | 8 | Find number that when squared gives 64. 8*8=64, so sqrt(64)=8. | square_roots |
1,381 | arithmetic | easy | What is 22984 / 68? | 338 | Divide: 22984 ÷ 68 = 338 because 68*338=22984. | division |
1,382 | algebra | easy | Solve for x: 6x - 46 = -94 | -8 | Add 46 to both sides: 6x = -94+46=-48. Then x = -48/6 = -8. | linear_equation |
1,383 | arithmetic | easy | What is 6336 / 64? | 99 | Divide: 6336 ÷ 64 = 99 because 64*99=6336. | division |
1,384 | calculus | medium | What is the derivative of 8x^7 with respect to x? | 56x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^7] = 8*7*x^6 = 56x^6. | derivative |
1,385 | geometry | easy | Find the area of a rectangle with length 47 and width 29. | 1363 | Area = length * width = 47*29 = 1363. | rectangle_area |
1,386 | arithmetic | easy | What is 63 * 11? | 693 | Multiply: 63 * 11 = 693. | basic_operations |
1,387 | arithmetic | easy | What is 572 - 370? | 202 | Subtract: 572 - 370 = 202. | basic_operations |
1,388 | arithmetic | easy | What is 6 + 94 * 35? Remember order of operations. | 3296 | Order of operations (PEMDAS): first 94*35=3290, then 6+3290=3296. | basic_operations |
1,389 | exponents | easy | What is 3^3? | 27 | 3^3 means multiply 3 by itself 3 times: 3*3*3 = 27. | exponents |
1,390 | arithmetic | easy | What is 5212 divided by 14? Give answer to 2 decimal places. | 372.29 | Calculate 5212/ 14 = 372.2857, rounded to 2 decimals is 372.29. | division |
1,391 | fractions | medium | What is 7/18 * 8/20? Give as simplified fraction. | 7/45 | Multiply numerators: 7*8=56. Denominators: 18*20=360. Simplify by gcd 8 to get 7/45. | fraction_operations |
1,392 | algebra | medium | Solve for x: x^2 - 14x + 49 = 0 | x = 7 | Factor as (x - 7)^2 = 0, so root is 7 (double root). Sum of roots = 14, product = 49. | quadratic |
1,393 | 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 |
1,394 | arithmetic | easy | What is 32700 / 100? | 327 | Divide: 32700 ÷ 100 = 327 because 100*327=32700. | division |
1,395 | word_problems | easy | If you have 94 candies and you buy 43 more candies, how many candies do you have in total? | 137 | Add initial 94 plus bought 43: 94+43=137. | addition_word |
1,396 | arithmetic | easy | What is 9344 divided by 23? Give answer to 2 decimal places. | 406.26 | Calculate 9344/ 23 = 406.2609, rounded to 2 decimals is 406.26. | division |
1,397 | roots | easy | What is the square root of 1849? | 43 | Find number that when squared gives 1849. 43*43=1849, so sqrt(1849)=43. | square_roots |
1,398 | algebra | medium | Solve for x: x^2 - 16x + 63 = 0 | x = 7, 9 | Factor: (x - 7)(x - 9) = x^2 -(16)x + 63 = 0. So x = 7 or 9. Check sum = 16, product = 63. | quadratic |
1,399 | word_problems | easy | If you have 50 pencils and you buy 21 more pencils, how many pencils do you have in total? | 71 | Add initial 50 plus bought 21: 50+21=71. | addition_word |
1,400 | roots | easy | What is the square root of 576? | 24 | Find number that when squared gives 576. 24*24=576, so sqrt(576)=24. | square_roots |
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