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 |
|---|---|---|---|---|---|---|
4,301 | arithmetic | easy | What is 15168 / 32? | 474 | Divide: 15168 ÷ 32 = 474 because 32*474=15168. | division |
4,302 | algebra | medium | Solve for x: x^2 - 17x + 70 = 0 | x = 7, 10 | Factor: (x - 7)(x - 10) = x^2 -(17)x + 70 = 0. So x = 7 or 10. Check sum = 17, product = 70. | quadratic |
4,303 | fractions | medium | What is 1/15 * 3/12? Give as simplified fraction. | 1/60 | Multiply numerators: 1*3=3. Denominators: 15*12=180. Simplify by gcd 3 to get 1/60. | fraction_operations |
4,304 | percentages | easy | What is 62% of 22? | 13.64 | Calculate 62/100 * 22 = 0.62*22 = 13.64. | percentages |
4,305 | arithmetic | easy | What is 8586 / 18? | 477 | Divide: 8586 ÷ 18 = 477 because 18*477=8586. | division |
4,306 | exponents | easy | What is 12^4? | 20736 | 12^4 means multiply 12 by itself 4 times: 12*12*12*12 = 20736. | exponents |
4,307 | 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 |
4,308 | 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 |
4,309 | algebra | medium | Solve for x: x^2 + 6x - 7 = 0 | x = 1, -7 | Factor: (x - 1)(x - -7) = x^2 -(-6)x + -7 = 0. So x = 1 or -7. Check sum = -6, product = -7. | quadratic |
4,310 | exponents | easy | What is 6^2? | 36 | 6^2 means multiply 6 by itself 2 times: 6*6 = 36. | exponents |
4,311 | arithmetic | easy | What is 160 + 895? | 1055 | Add the two numbers: 160 + 895 = 1055. | basic_operations |
4,312 | arithmetic | easy | What is 798 - 789? | 9 | Subtract: 798 - 789 = 9. | basic_operations |
4,313 | arithmetic | easy | What is 22968 / 99? | 232 | Divide: 22968 ÷ 99 = 232 because 99*232=22968. | division |
4,314 | word_problems | easy | If you have 70 candies and you buy 8 more candies, how many candies do you have in total? | 78 | Add initial 70 plus bought 8: 70+8=78. | addition_word |
4,315 | geometry | easy | Find the area of a rectangle with length 46 and width 12. | 552 | Area = length * width = 46*12 = 552. | rectangle_area |
4,316 | number_theory | medium | What is the GCD (greatest common divisor) of 23 and 50? | 1 | Find greatest number dividing both 23 and 50. Divisors common, greatest is 1. | gcd |
4,317 | geometry | easy | Find the area of a rectangle with length 80 and width 99. | 7920 | Area = length * width = 80*99 = 7920. | rectangle_area |
4,318 | arithmetic | easy | What is 167 + 65 * 19? Remember order of operations. | 1402 | Order of operations (PEMDAS): first 65*19=1235, then 167+1235=1402. | basic_operations |
4,319 | fractions | medium | What is 16/13 - 1/12? Give as simplified fraction. | 179/156 | Common denominator 156. Numerator 192-13=179. So 179/156 simplifies to 179/156. | fraction_operations |
4,320 | 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 |
4,321 | calculus | medium | What is the derivative of 3x^3 with respect to x? | 9x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^3] = 3*3*x^2 = 9x^2. | derivative |
4,322 | fractions | medium | What is 20/17 * 19/4? Give as simplified fraction. | 95/17 | Multiply numerators: 20*19=380. Denominators: 17*4=68. Simplify by gcd 4 to get 95/17. | fraction_operations |
4,323 | percentages | easy | What is 85% of 957? | 813.45 | Calculate 85/100 * 957 = 0.85*957 = 813.45. | percentages |
4,324 | statistics | easy | What is the mean (average) of 99, 59, 50, 42, 83? | 66.6 | Mean = sum/count. Sum = 99+59+50+42+83=333. Count=5. Mean=333/5=66.6. | mean |
4,325 | number_theory | medium | What is the GCD (greatest common divisor) of 26 and 6? | 2 | Find greatest number dividing both 26 and 6. Divisors common, greatest is 2. | gcd |
4,326 | word_problems | easy | If you have 29 pencils and you buy 1 more pencils, how many pencils do you have in total? | 30 | Add initial 29 plus bought 1: 29+1=30. | addition_word |
4,327 | number_theory | medium | What is the LCM (least common multiple) of 3 and 86? | 258 | LCM = |3*86| / GCD(3,86). GCD=1, so LCM=258/1=258. | lcm |
4,328 | 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 |
4,329 | arithmetic | easy | What is 993 + 323 * 60? Remember order of operations. | 20373 | Order of operations (PEMDAS): first 323*60=19380, then 993+19380=20373. | basic_operations |
4,330 | arithmetic | easy | What is 20826 / 78? | 267 | Divide: 20826 ÷ 78 = 267 because 78*267=20826. | division |
4,331 | algebra | easy | Solve for x: 16x + 13 = 253 | 15 | Subtract 13 from both sides: 16x = 253-13=240. Then divide by 16: x = 240/16 = 15. | linear_equation |
4,332 | 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 |
4,333 | arithmetic | easy | What is 856 + 806 * 82? Remember order of operations. | 66948 | Order of operations (PEMDAS): first 806*82=66092, then 856+66092=66948. | basic_operations |
4,334 | 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 |
4,335 | arithmetic | easy | What is 880 - 110? | 770 | Subtract: 880 - 110 = 770. | basic_operations |
4,336 | algebra | easy | Solve for x: 9x - 2 = -101 | -11 | Add 2 to both sides: 9x = -101+2=-99. Then x = -99/9 = -11. | linear_equation |
4,337 | geometry | easy | Find the area of a circle with radius 27. Use pi=3.14159, round to 2 decimals. | 2290.22 | Area = pi*r^2 = 3.14159*27^2 = 3.14159*729 = 2290.22. | circle_area |
4,338 | arithmetic | easy | What is 999 + 544? | 1543 | Add the two numbers: 999 + 544 = 1543. | basic_operations |
4,339 | exponents | easy | What is 8^2? | 64 | 8^2 means multiply 8 by itself 2 times: 8*8 = 64. | exponents |
4,340 | arithmetic | easy | What is 12 * 18? | 216 | Multiply: 12 * 18 = 216. | basic_operations |
4,341 | arithmetic | easy | What is 2832 / 48? | 59 | Divide: 2832 ÷ 48 = 59 because 48*59=2832. | division |
4,342 | roots | easy | What is the square root of 441? | 21 | Find number that when squared gives 441. 21*21=441, so sqrt(441)=21. | square_roots |
4,343 | arithmetic | easy | What is 7400 / 25? | 296 | Divide: 7400 ÷ 25 = 296 because 25*296=7400. | division |
4,344 | percentages | easy | What is 7% of 284? | 19.88 | Calculate 7/100 * 284 = 0.07*284 = 19.88. | percentages |
4,345 | exponents | easy | What is 10^2? | 100 | 10^2 means multiply 10 by itself 2 times: 10*10 = 100. | exponents |
4,346 | exponents | easy | What is 10^4? | 10000 | 10^4 means multiply 10 by itself 4 times: 10*10*10*10 = 10000. | exponents |
4,347 | arithmetic | easy | What is 20458 / 53? | 386 | Divide: 20458 ÷ 53 = 386 because 53*386=20458. | division |
4,348 | 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 |
4,349 | 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 |
4,350 | arithmetic | easy | What is 1 * 14? | 14 | Multiply: 1 * 14 = 14. | basic_operations |
4,351 | arithmetic | easy | What is 829 - 481? | 348 | Subtract: 829 - 481 = 348. | basic_operations |
4,352 | geometry | easy | Find the perimeter of a rectangle with length 76 and width 72. | 296 | Perimeter = 2*(length+width) = 2*(76+72) = 2*148 = 296. | rectangle_perim |
4,353 | percentages | easy | What is 11% of 343? | 37.73 | Calculate 11/100 * 343 = 0.11*343 = 37.73. | percentages |
4,354 | algebra | medium | Solve for x: x^2 - 5x - 50 = 0 | x = -5, 10 | Factor: (x - -5)(x - 10) = x^2 -(5)x + -50 = 0. So x = -5 or 10. Check sum = 5, product = -50. | quadratic |
4,355 | arithmetic | easy | What is 34115 divided by 82? Give answer to 2 decimal places. | 416.04 | Calculate 34115/ 82 = 416.0366, rounded to 2 decimals is 416.04. | division |
4,356 | fractions | medium | What is 5/7 - 17/9? Give as simplified fraction. | -74/63 | Common denominator 63. Numerator 45-119=-74. So -74/63 simplifies to -74/63. | fraction_operations |
4,357 | arithmetic | easy | What is 94 * 100? | 9400 | Multiply: 94 * 100 = 9400. | basic_operations |
4,358 | statistics | easy | What is the mean (average) of 31, 8, 56, 28, 79? | 40.4 | Mean = sum/count. Sum = 31+8+56+28+79=202. Count=5. Mean=202/5=40.4. | mean |
4,359 | calculus | medium | What is the derivative of 9x^3 with respect to x? | 27x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^3] = 9*3*x^2 = 27x^2. | derivative |
4,360 | exponents | easy | What is 7^3? | 343 | 7^3 means multiply 7 by itself 3 times: 7*7*7 = 343. | exponents |
4,361 | calculus | medium | What is the derivative of 7x^6 with respect to x? | 42x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^6] = 7*6*x^5 = 42x^5. | derivative |
4,362 | exponents | easy | What is 6^3? | 216 | 6^3 means multiply 6 by itself 3 times: 6*6*6 = 216. | exponents |
4,363 | arithmetic | easy | What is 19905 divided by 92? Give answer to 2 decimal places. | 216.36 | Calculate 19905/ 92 = 216.3587, rounded to 2 decimals is 216.36. | division |
4,364 | arithmetic | easy | What is 118 + 416? | 534 | Add the two numbers: 118 + 416 = 534. | basic_operations |
4,365 | algebra | easy | Solve for x: 19x - 27 = 296 | 17 | Add 27 to both sides: 19x = 296+27=323. Then x = 323/19 = 17. | linear_equation |
4,366 | arithmetic | easy | What is 11136 / 87? | 128 | Divide: 11136 ÷ 87 = 128 because 87*128=11136. | division |
4,367 | percentages | easy | What is 32% of 763? | 244.16 | Calculate 32/100 * 763 = 0.32*763 = 244.16. | percentages |
4,368 | arithmetic | easy | What is 749 + 74 * 88? Remember order of operations. | 7261 | Order of operations (PEMDAS): first 74*88=6512, then 749+6512=7261. | basic_operations |
4,369 | fractions | medium | What is 9/5 * 19/2? Give as simplified fraction. | 171/10 | Multiply numerators: 9*19=171. Denominators: 5*2=10. Simplify by gcd 1 to get 171/10. | fraction_operations |
4,370 | fractions | medium | What is 4/2 - 14/5? Give as simplified fraction. | -4/5 | Common denominator 10. Numerator 20-28=-8. So -8/10 simplifies to -4/5. | fraction_operations |
4,371 | fractions | medium | What is 15/6 - 5/5? Give as simplified fraction. | 3/2 | Common denominator 30. Numerator 75-30=45. So 45/30 simplifies to 3/2. | fraction_operations |
4,372 | 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 |
4,373 | calculus | medium | What is the derivative of 9x^7 with respect to x? | 63x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^7] = 9*7*x^6 = 63x^6. | derivative |
4,374 | geometry | easy | Find the circumference of a circle with radius 43. Use pi=3.14159, round to 2 decimals. | 270.18 | Circumference = 2*pi*r = 2*3.14159*43 = 270.18. | circle_circum |
4,375 | fractions | medium | What is 5/8 + 13/13? Give as simplified fraction. | 13/8 | Common denominator 8*13=104. 5/8=65/104, 13/13=104/104. Sum = 169/104 = 13/8 simplified. | fraction_operations |
4,376 | percentages | easy | What is 63% of 501? | 315.63 | Calculate 63/100 * 501 = 0.63*501 = 315.63. | percentages |
4,377 | geometry | easy | Find the circumference of a circle with radius 4. Use pi=3.14159, round to 2 decimals. | 25.13 | Circumference = 2*pi*r = 2*3.14159*4 = 25.13. | circle_circum |
4,378 | geometry | easy | Find the area of a rectangle with length 56 and width 60. | 3360 | Area = length * width = 56*60 = 3360. | rectangle_area |
4,379 | algebra | medium | Solve for x: x^2 + 18x + 81 = 0 | x = -9 | Factor as (x - -9)^2 = 0, so root is -9 (double root). Sum of roots = -18, product = 81. | quadratic |
4,380 | word_problems | easy | If you have 72 books and you buy 19 more books, how many books do you have in total? | 91 | Add initial 72 plus bought 19: 72+19=91. | addition_word |
4,381 | 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 |
4,382 | exponents | easy | What is 4^4? | 256 | 4^4 means multiply 4 by itself 4 times: 4*4*4*4 = 256. | exponents |
4,383 | geometry | easy | Find the perimeter of a rectangle with length 55 and width 99. | 308 | Perimeter = 2*(length+width) = 2*(55+99) = 2*154 = 308. | rectangle_perim |
4,384 | arithmetic | easy | What is 9 * 76? | 684 | Multiply: 9 * 76 = 684. | basic_operations |
4,385 | exponents | easy | What is 12^3? | 1728 | 12^3 means multiply 12 by itself 3 times: 12*12*12 = 1728. | exponents |
4,386 | word_problems | easy | If you have 30 dollars and you buy 45 more dollars, how many dollars do you have in total? | 75 | Add initial 30 plus bought 45: 30+45=75. | addition_word |
4,387 | statistics | easy | What is the mean (average) of 35, 21, 62, 29? | 36.75 | Mean = sum/count. Sum = 35+21+62+29=147. Count=4. Mean=147/4=36.75. | mean |
4,388 | word_problems | easy | If you have 22 books and you buy 2 more books, how many books do you have in total? | 24 | Add initial 22 plus bought 2: 22+2=24. | addition_word |
4,389 | statistics | easy | What is the mean (average) of 29, 71, 66, 83? | 62.25 | Mean = sum/count. Sum = 29+71+66+83=249. Count=4. Mean=249/4=62.25. | mean |
4,390 | algebra | easy | Solve for x: 4x - 16 = -4 | 3 | Add 16 to both sides: 4x = -4+16=12. Then x = 12/4 = 3. | linear_equation |
4,391 | geometry | easy | Find the area of a rectangle with length 35 and width 85. | 2975 | Area = length * width = 35*85 = 2975. | rectangle_area |
4,392 | exponents | easy | What is 8^2? | 64 | 8^2 means multiply 8 by itself 2 times: 8*8 = 64. | exponents |
4,393 | arithmetic | easy | What is 581 + 981? | 1562 | Add the two numbers: 581 + 981 = 1562. | basic_operations |
4,394 | geometry | easy | Find the perimeter of a rectangle with length 97 and width 86. | 366 | Perimeter = 2*(length+width) = 2*(97+86) = 2*183 = 366. | rectangle_perim |
4,395 | algebra | medium | Solve for x: x^2 - 15x + 50 = 0 | x = 10, 5 | Factor: (x - 10)(x - 5) = x^2 -(15)x + 50 = 0. So x = 10 or 5. Check sum = 15, product = 50. | quadratic |
4,396 | arithmetic | easy | What is 982 - 153? | 829 | Subtract: 982 - 153 = 829. | basic_operations |
4,397 | 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 |
4,398 | 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 |
4,399 | statistics | easy | What is the mean (average) of 24, 14, 94? | 44 | Mean = sum/count. Sum = 24+14+94=132. Count=3. Mean=132/3=44.0. | mean |
4,400 | exponents | easy | What is 8^4? | 4096 | 8^4 means multiply 8 by itself 4 times: 8*8*8*8 = 4096. | exponents |
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