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 |
|---|---|---|---|---|---|---|
301 | percentages | easy | What is 83% of 65? | 53.95 | Calculate 83/100 * 65 = 0.83*65 = 53.95. | percentages |
302 | word_problems | easy | If you have 94 candies and you buy 20 more candies, how many candies do you have in total? | 114 | Add initial 94 plus bought 20: 94+20=114. | addition_word |
303 | arithmetic | easy | What is 456 / 19? | 24 | Divide: 456 ÷ 19 = 24 because 19*24=456. | division |
304 | statistics | easy | What is the mean (average) of 13, 31, 69? | 37.67 | Mean = sum/count. Sum = 13+31+69=113. Count=3. Mean=113/3=37.67. | mean |
305 | algebra | easy | Solve for x: 13x + 8 = 47 | 3 | Subtract 8 from both sides: 13x = 47-8=39. Then divide by 13: x = 39/13 = 3. | linear_equation |
306 | 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 |
307 | algebra | easy | Solve for x: 14x + 33 = -163 | -14 | Subtract 33 from both sides: 14x = -163-33=-196. Then divide by 14: x = -196/14 = -14. | linear_equation |
308 | statistics | easy | What is the mean (average) of 53, 36, 5, 89, 48? | 46.2 | Mean = sum/count. Sum = 53+36+5+89+48=231. Count=5. Mean=231/5=46.2. | mean |
309 | fractions | medium | What is 15/16 + 8/13? Give as simplified fraction. | 323/208 | Common denominator 16*13=208. 15/16=195/208, 8/13=128/208. Sum = 323/208 = 323/208 simplified. | fraction_operations |
310 | number_theory | medium | What is the LCM (least common multiple) of 70 and 83? | 5810 | LCM = |70*83| / GCD(70,83). GCD=1, so LCM=5810/1=5810. | lcm |
311 | arithmetic | easy | What is 408 + 283? | 691 | Add the two numbers: 408 + 283 = 691. | basic_operations |
312 | word_problems | easy | If you have 16 books and you buy 43 more books, how many books do you have in total? | 59 | Add initial 16 plus bought 43: 16+43=59. | addition_word |
313 | arithmetic | easy | What is 52 + 806? | 858 | Add the two numbers: 52 + 806 = 858. | basic_operations |
314 | fractions | medium | What is 3/19 + 7/20? Give as simplified fraction. | 193/380 | Common denominator 19*20=380. 3/19=60/380, 7/20=133/380. Sum = 193/380 = 193/380 simplified. | fraction_operations |
315 | percentages | easy | What is 43% of 793? | 340.99 | Calculate 43/100 * 793 = 0.43*793 = 340.99. | percentages |
316 | algebra | easy | Solve for x: 20x - 50 = -110 | -3 | Add 50 to both sides: 20x = -110+50=-60. Then x = -60/20 = -3. | linear_equation |
317 | algebra | easy | Solve for x: 5x + 19 = -1 | -4 | Subtract 19 from both sides: 5x = -1-19=-20. Then divide by 5: x = -20/5 = -4. | linear_equation |
318 | 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 |
319 | algebra | easy | Solve for x: 1x - 5 = -10 | -5 | Add 5 to both sides: 1x = -10+5=-5. Then x = -5/1 = -5. | linear_equation |
320 | roots | easy | What is the square root of 4? | 2 | Find number that when squared gives 4. 2*2=4, so sqrt(4)=2. | square_roots |
321 | algebra | medium | Solve for x: x^2 + 11x + 18 = 0 | x = -2, -9 | Factor: (x - -2)(x - -9) = x^2 -(-11)x + 18 = 0. So x = -2 or -9. Check sum = -11, product = 18. | quadratic |
322 | algebra | easy | Solve for x: 14x + 17 = -165 | -13 | Subtract 17 from both sides: 14x = -165-17=-182. Then divide by 14: x = -182/14 = -13. | linear_equation |
323 | arithmetic | easy | What is 488 - 460? | 28 | Subtract: 488 - 460 = 28. | basic_operations |
324 | arithmetic | easy | What is 15222 / 59? | 258 | Divide: 15222 ÷ 59 = 258 because 59*258=15222. | division |
325 | exponents | easy | What is 9^2? | 81 | 9^2 means multiply 9 by itself 2 times: 9*9 = 81. | exponents |
326 | arithmetic | easy | What is 868 - 491? | 377 | Subtract: 868 - 491 = 377. | basic_operations |
327 | statistics | easy | What is the mean (average) of 57, 10, 11, 42, 78? | 39.6 | Mean = sum/count. Sum = 57+10+11+42+78=198. Count=5. Mean=198/5=39.6. | mean |
328 | algebra | easy | Solve for x: 3x - 34 = -43 | -3 | Add 34 to both sides: 3x = -43+34=-9. Then x = -9/3 = -3. | linear_equation |
329 | roots | easy | What is the square root of 625? | 25 | Find number that when squared gives 625. 25*25=625, so sqrt(625)=25. | square_roots |
330 | exponents | easy | What is 9^5? | 59049 | 9^5 means multiply 9 by itself 5 times: 9*9*9*9*9 = 59049. | exponents |
331 | arithmetic | easy | What is 5369 / 91? | 59 | Divide: 5369 ÷ 91 = 59 because 91*59=5369. | division |
332 | 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 |
333 | percentages | easy | What is 53% of 348? | 184.44 | Calculate 53/100 * 348 = 0.53*348 = 184.44. | percentages |
334 | word_problems | easy | If you have 56 apples and you buy 27 more apples, how many apples do you have in total? | 83 | Add initial 56 plus bought 27: 56+27=83. | addition_word |
335 | 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 |
336 | 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 |
337 | geometry | easy | Find the area of a circle with radius 10. Use pi=3.14159, round to 2 decimals. | 314.16 | Area = pi*r^2 = 3.14159*10^2 = 3.14159*100 = 314.16. | circle_area |
338 | statistics | easy | What is the mean (average) of 12, 11, 12? | 11.67 | Mean = sum/count. Sum = 12+11+12=35. Count=3. Mean=35/3=11.67. | mean |
339 | 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 |
340 | number_theory | medium | What is the GCD (greatest common divisor) of 17 and 72? | 1 | Find greatest number dividing both 17 and 72. Divisors common, greatest is 1. | gcd |
341 | 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 |
342 | arithmetic | easy | What is 9871 divided by 54? Give answer to 2 decimal places. | 182.8 | Calculate 9871/ 54 = 182.7963, rounded to 2 decimals is 182.8. | division |
343 | arithmetic | easy | What is 992 - 295? | 697 | Subtract: 992 - 295 = 697. | basic_operations |
344 | fractions | medium | What is 5/17 - 8/5? Give as simplified fraction. | -111/85 | Common denominator 85. Numerator 25-136=-111. So -111/85 simplifies to -111/85. | fraction_operations |
345 | number_theory | medium | What is the LCM (least common multiple) of 15 and 98? | 1470 | LCM = |15*98| / GCD(15,98). GCD=1, so LCM=1470/1=1470. | lcm |
346 | percentages | easy | What is 55% of 866? | 476.3 | Calculate 55/100 * 866 = 0.55*866 = 476.3. | percentages |
347 | arithmetic | easy | What is 35 + 4 * 85? Remember order of operations. | 375 | Order of operations (PEMDAS): first 4*85=340, then 35+340=375. | basic_operations |
348 | exponents | easy | What is 7^4? | 2401 | 7^4 means multiply 7 by itself 4 times: 7*7*7*7 = 2401. | exponents |
349 | arithmetic | easy | What is 85 + 52 * 19? Remember order of operations. | 1073 | Order of operations (PEMDAS): first 52*19=988, then 85+988=1073. | basic_operations |
350 | arithmetic | easy | What is 94 + 765? | 859 | Add the two numbers: 94 + 765 = 859. | basic_operations |
351 | word_problems | easy | If you have 48 dollars and you buy 11 more dollars, how many dollars do you have in total? | 59 | Add initial 48 plus bought 11: 48+11=59. | addition_word |
352 | exponents | easy | What is 7^2? | 49 | 7^2 means multiply 7 by itself 2 times: 7*7 = 49. | exponents |
353 | arithmetic | easy | What is 7 + 87 * 97? Remember order of operations. | 8446 | Order of operations (PEMDAS): first 87*97=8439, then 7+8439=8446. | basic_operations |
354 | word_problems | easy | If you have 89 candies and you buy 28 more candies, how many candies do you have in total? | 117 | Add initial 89 plus bought 28: 89+28=117. | addition_word |
355 | word_problems | easy | If you have 58 books and you buy 18 more books, how many books do you have in total? | 76 | Add initial 58 plus bought 18: 58+18=76. | addition_word |
356 | arithmetic | easy | What is 10166 / 46? | 221 | Divide: 10166 ÷ 46 = 221 because 46*221=10166. | division |
357 | statistics | easy | What is the mean (average) of 86, 40, 6, 29, 51? | 42.4 | Mean = sum/count. Sum = 86+40+6+29+51=212. Count=5. Mean=212/5=42.4. | mean |
358 | arithmetic | easy | What is 8 + 210? | 218 | Add the two numbers: 8 + 210 = 218. | basic_operations |
359 | geometry | easy | Find the area of a circle with radius 21. Use pi=3.14159, round to 2 decimals. | 1385.44 | Area = pi*r^2 = 3.14159*21^2 = 3.14159*441 = 1385.44. | circle_area |
360 | arithmetic | easy | What is 510 / 2? | 255 | Divide: 510 ÷ 2 = 255 because 2*255=510. | division |
361 | algebra | easy | Solve for x: 13x + 18 = -60 | -6 | Subtract 18 from both sides: 13x = -60-18=-78. Then divide by 13: x = -78/13 = -6. | linear_equation |
362 | number_theory | medium | What is the GCD (greatest common divisor) of 10 and 51? | 1 | Find greatest number dividing both 10 and 51. Divisors common, greatest is 1. | gcd |
363 | 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 |
364 | word_problems | easy | If you have 14 pencils and you buy 21 more pencils, how many pencils do you have in total? | 35 | Add initial 14 plus bought 21: 14+21=35. | addition_word |
365 | 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 |
366 | calculus | medium | What is the derivative of 7x^7 with respect to x? | 49x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^7] = 7*7*x^6 = 49x^6. | derivative |
367 | exponents | easy | What is 3^5? | 243 | 3^5 means multiply 3 by itself 5 times: 3*3*3*3*3 = 243. | exponents |
368 | arithmetic | easy | What is 59 * 89? | 5251 | Multiply: 59 * 89 = 5251. | basic_operations |
369 | arithmetic | easy | What is 448 + 865? | 1313 | Add the two numbers: 448 + 865 = 1313. | basic_operations |
370 | calculus | medium | What is the derivative of 2x^6 with respect to x? | 12x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^6] = 2*6*x^5 = 12x^5. | derivative |
371 | 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 |
372 | roots | easy | What is the square root of 225? | 15 | Find number that when squared gives 225. 15*15=225, so sqrt(225)=15. | square_roots |
373 | roots | easy | What is the square root of 2500? | 50 | Find number that when squared gives 2500. 50*50=2500, so sqrt(2500)=50. | square_roots |
374 | algebra | medium | Solve for x: x^2 + 2x - 48 = 0 | x = -8, 6 | Factor: (x - -8)(x - 6) = x^2 -(-2)x + -48 = 0. So x = -8 or 6. Check sum = -2, product = -48. | quadratic |
375 | arithmetic | easy | What is 18078 / 69? | 262 | Divide: 18078 ÷ 69 = 262 because 69*262=18078. | division |
376 | number_theory | medium | What is the GCD (greatest common divisor) of 94 and 83? | 1 | Find greatest number dividing both 94 and 83. Divisors common, greatest is 1. | gcd |
377 | percentages | easy | What is 14% of 150? | 21 | Calculate 14/100 * 150 = 0.14*150 = 21. | percentages |
378 | geometry | easy | Find the perimeter of a rectangle with length 23 and width 78. | 202 | Perimeter = 2*(length+width) = 2*(23+78) = 2*101 = 202. | rectangle_perim |
379 | algebra | easy | Solve for x: 3x - 28 = 32 | 20 | Add 28 to both sides: 3x = 32+28=60. Then x = 60/3 = 20. | linear_equation |
380 | statistics | easy | What is the mean (average) of 97, 73, 98, 75? | 85.75 | Mean = sum/count. Sum = 97+73+98+75=343. Count=4. Mean=343/4=85.75. | mean |
381 | word_problems | easy | If you have 92 pencils and you buy 37 more pencils, how many pencils do you have in total? | 129 | Add initial 92 plus bought 37: 92+37=129. | addition_word |
382 | 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 |
383 | 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 |
384 | word_problems | easy | If you have 13 candies and you buy 31 more candies, how many candies do you have in total? | 44 | Add initial 13 plus bought 31: 13+31=44. | addition_word |
385 | exponents | easy | What is 6^2? | 36 | 6^2 means multiply 6 by itself 2 times: 6*6 = 36. | exponents |
386 | number_theory | medium | What is the LCM (least common multiple) of 65 and 10? | 130 | LCM = |65*10| / GCD(65,10). GCD=5, so LCM=650/5=130. | lcm |
387 | word_problems | easy | If you have 62 apples and you buy 3 more apples, how many apples do you have in total? | 65 | Add initial 62 plus bought 3: 62+3=65. | addition_word |
388 | number_theory | medium | What is the GCD (greatest common divisor) of 37 and 10? | 1 | Find greatest number dividing both 37 and 10. Divisors common, greatest is 1. | gcd |
389 | calculus | medium | What is the derivative of 10x^5 with respect to x? | 50x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^5] = 10*5*x^4 = 50x^4. | derivative |
390 | arithmetic | easy | What is 25 * 42? | 1050 | Multiply: 25 * 42 = 1050. | basic_operations |
391 | algebra | easy | Solve for x: 2x + 7 = -21 | -14 | Subtract 7 from both sides: 2x = -21-7=-28. Then divide by 2: x = -28/2 = -14. | linear_equation |
392 | roots | easy | What is the square root of 2116? | 46 | Find number that when squared gives 2116. 46*46=2116, so sqrt(2116)=46. | square_roots |
393 | arithmetic | easy | What is 517 + 662 * 23? Remember order of operations. | 15743 | Order of operations (PEMDAS): first 662*23=15226, then 517+15226=15743. | basic_operations |
394 | word_problems | easy | If you have 61 pencils and you buy 34 more pencils, how many pencils do you have in total? | 95 | Add initial 61 plus bought 34: 61+34=95. | addition_word |
395 | 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 |
396 | exponents | easy | What is 8^5? | 32768 | 8^5 means multiply 8 by itself 5 times: 8*8*8*8*8 = 32768. | exponents |
397 | 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 |
398 | arithmetic | easy | What is 809 + 647 * 83? Remember order of operations. | 54510 | Order of operations (PEMDAS): first 647*83=53701, then 809+53701=54510. | basic_operations |
399 | arithmetic | easy | What is 25404 / 73? | 348 | Divide: 25404 ÷ 73 = 348 because 73*348=25404. | division |
400 | geometry | easy | Find the area of a triangle with base 20 and height 43. | 430 | Area = 0.5*base*height = 0.5*20*43 = 430. | triangle_area |
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