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 |
|---|---|---|---|---|---|---|
10,301 | algebra | medium | Solve for x: x^2 + 14x + 45 = 0 | x = -5, -9 | Factor: (x - -5)(x - -9) = x^2 -(-14)x + 45 = 0. So x = -5 or -9. Check sum = -14, product = 45. | quadratic |
10,302 | exponents | easy | What is 3^5? | 243 | 3^5 means multiply 3 by itself 5 times: 3*3*3*3*3 = 243. | exponents |
10,303 | roots | easy | What is the square root of 196? | 14 | Find number that when squared gives 196. 14*14=196, so sqrt(196)=14. | square_roots |
10,304 | arithmetic | easy | What is 290 + 969? | 1259 | Add the two numbers: 290 + 969 = 1259. | basic_operations |
10,305 | fractions | medium | What is 3/18 + 9/4? Give as simplified fraction. | 29/12 | Common denominator 18*4=72. 3/18=12/72, 9/4=162/72. Sum = 174/72 = 29/12 simplified. | fraction_operations |
10,306 | 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 |
10,307 | word_problems | easy | If you have 46 apples and you buy 21 more apples, how many apples do you have in total? | 67 | Add initial 46 plus bought 21: 46+21=67. | addition_word |
10,308 | geometry | easy | Find the area of a triangle with base 41 and height 21. | 430.5 | Area = 0.5*base*height = 0.5*41*21 = 430.5. | triangle_area |
10,309 | exponents | easy | What is 8^5? | 32768 | 8^5 means multiply 8 by itself 5 times: 8*8*8*8*8 = 32768. | exponents |
10,310 | word_problems | easy | If you have 12 candies and you buy 15 more candies, how many candies do you have in total? | 27 | Add initial 12 plus bought 15: 12+15=27. | addition_word |
10,311 | geometry | easy | Find the circumference of a circle with radius 29. Use pi=3.14159, round to 2 decimals. | 182.21 | Circumference = 2*pi*r = 2*3.14159*29 = 182.21. | circle_circum |
10,312 | statistics | easy | What is the mean (average) of 94, 1, 72? | 55.67 | Mean = sum/count. Sum = 94+1+72=167. Count=3. Mean=167/3=55.67. | mean |
10,313 | percentages | easy | What is 4% of 667? | 26.68 | Calculate 4/100 * 667 = 0.04*667 = 26.68. | percentages |
10,314 | word_problems | easy | If you have 55 dollars and you buy 18 more dollars, how many dollars do you have in total? | 73 | Add initial 55 plus bought 18: 55+18=73. | addition_word |
10,315 | arithmetic | easy | What is 348 + 957? | 1305 | Add the two numbers: 348 + 957 = 1305. | basic_operations |
10,316 | arithmetic | easy | What is 510 + 87 * 21? Remember order of operations. | 2337 | Order of operations (PEMDAS): first 87*21=1827, then 510+1827=2337. | basic_operations |
10,317 | word_problems | easy | If you have 36 books and you buy 47 more books, how many books do you have in total? | 83 | Add initial 36 plus bought 47: 36+47=83. | addition_word |
10,318 | algebra | medium | Solve for x: x^2 + 2x - 80 = 0 | x = 8, -10 | Factor: (x - 8)(x - -10) = x^2 -(-2)x + -80 = 0. So x = 8 or -10. Check sum = -2, product = -80. | quadratic |
10,319 | arithmetic | easy | What is 25290 / 90? | 281 | Divide: 25290 ÷ 90 = 281 because 90*281=25290. | division |
10,320 | arithmetic | easy | What is 370 + 111 * 12? Remember order of operations. | 1702 | Order of operations (PEMDAS): first 111*12=1332, then 370+1332=1702. | basic_operations |
10,321 | fractions | medium | What is 9/2 - 14/8? Give as simplified fraction. | 11/4 | Common denominator 16. Numerator 72-28=44. So 44/16 simplifies to 11/4. | fraction_operations |
10,322 | arithmetic | easy | What is 6 + 47 * 80? Remember order of operations. | 3766 | Order of operations (PEMDAS): first 47*80=3760, then 6+3760=3766. | basic_operations |
10,323 | exponents | easy | What is 2^5? | 32 | 2^5 means multiply 2 by itself 5 times: 2*2*2*2*2 = 32. | exponents |
10,324 | roots | easy | What is the square root of 25? | 5 | Find number that when squared gives 25. 5*5=25, so sqrt(25)=5. | square_roots |
10,325 | arithmetic | easy | What is 35 * 61? | 2135 | Multiply: 35 * 61 = 2135. | basic_operations |
10,326 | arithmetic | easy | What is 472 + 51 * 86? Remember order of operations. | 4858 | Order of operations (PEMDAS): first 51*86=4386, then 472+4386=4858. | basic_operations |
10,327 | number_theory | medium | What is the LCM (least common multiple) of 57 and 73? | 4161 | LCM = |57*73| / GCD(57,73). GCD=1, so LCM=4161/1=4161. | lcm |
10,328 | calculus | medium | What is the derivative of 2x^3 with respect to x? | 6x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^3] = 2*3*x^2 = 6x^2. | derivative |
10,329 | 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 |
10,330 | word_problems | easy | If you have 99 pencils and you buy 43 more pencils, how many pencils do you have in total? | 142 | Add initial 99 plus bought 43: 99+43=142. | addition_word |
10,331 | arithmetic | easy | What is 88 * 11? | 968 | Multiply: 88 * 11 = 968. | basic_operations |
10,332 | arithmetic | easy | What is 2400 / 75? | 32 | Divide: 2400 ÷ 75 = 32 because 75*32=2400. | division |
10,333 | geometry | easy | Find the area of a circle with radius 45. Use pi=3.14159, round to 2 decimals. | 6361.73 | Area = pi*r^2 = 3.14159*45^2 = 3.14159*2025 = 6361.73. | circle_area |
10,334 | 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 |
10,335 | calculus | medium | What is the derivative of 8x^5 with respect to x? | 40x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^5] = 8*5*x^4 = 40x^4. | derivative |
10,336 | 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 |
10,337 | roots | easy | What is the square root of 81? | 9 | Find number that when squared gives 81. 9*9=81, so sqrt(81)=9. | square_roots |
10,338 | geometry | easy | Find the area of a triangle with base 52 and height 95. | 2470 | Area = 0.5*base*height = 0.5*52*95 = 2470. | triangle_area |
10,339 | arithmetic | easy | What is 20 * 13? | 260 | Multiply: 20 * 13 = 260. | basic_operations |
10,340 | exponents | easy | What is 7^2? | 49 | 7^2 means multiply 7 by itself 2 times: 7*7 = 49. | exponents |
10,341 | statistics | easy | What is the mean (average) of 98, 6, 17, 20? | 35.25 | Mean = sum/count. Sum = 98+6+17+20=141. Count=4. Mean=141/4=35.25. | mean |
10,342 | fractions | medium | What is 18/2 + 9/13? Give as simplified fraction. | 126/13 | Common denominator 2*13=26. 18/2=234/26, 9/13=18/26. Sum = 252/26 = 126/13 simplified. | fraction_operations |
10,343 | exponents | easy | What is 9^3? | 729 | 9^3 means multiply 9 by itself 3 times: 9*9*9 = 729. | exponents |
10,344 | word_problems | easy | If you have 63 books and you buy 43 more books, how many books do you have in total? | 106 | Add initial 63 plus bought 43: 63+43=106. | addition_word |
10,345 | roots | easy | What is the square root of 169? | 13 | Find number that when squared gives 169. 13*13=169, so sqrt(169)=13. | square_roots |
10,346 | algebra | easy | Solve for x: 2x + 29 = 33 | 2 | Subtract 29 from both sides: 2x = 33-29=4. Then divide by 2: x = 4/2 = 2. | linear_equation |
10,347 | algebra | medium | Solve for x: x^2 - 5x - 14 = 0 | x = 7, -2 | Factor: (x - 7)(x - -2) = x^2 -(5)x + -14 = 0. So x = 7 or -2. Check sum = 5, product = -14. | quadratic |
10,348 | statistics | easy | What is the mean (average) of 47, 91, 65? | 67.67 | Mean = sum/count. Sum = 47+91+65=203. Count=3. Mean=203/3=67.67. | mean |
10,349 | statistics | easy | What is the mean (average) of 59, 22, 80? | 53.67 | Mean = sum/count. Sum = 59+22+80=161. Count=3. Mean=161/3=53.67. | mean |
10,350 | fractions | medium | What is 7/12 + 16/2? Give as simplified fraction. | 103/12 | Common denominator 12*2=24. 7/12=14/24, 16/2=192/24. Sum = 206/24 = 103/12 simplified. | fraction_operations |
10,351 | geometry | easy | Find the area of a rectangle with length 79 and width 32. | 2528 | Area = length * width = 79*32 = 2528. | rectangle_area |
10,352 | 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 |
10,353 | fractions | medium | What is 20/18 - 10/14? Give as simplified fraction. | 25/63 | Common denominator 252. Numerator 280-180=100. So 100/252 simplifies to 25/63. | fraction_operations |
10,354 | exponents | easy | What is 6^3? | 216 | 6^3 means multiply 6 by itself 3 times: 6*6*6 = 216. | exponents |
10,355 | word_problems | easy | If you have 36 pencils and you buy 38 more pencils, how many pencils do you have in total? | 74 | Add initial 36 plus bought 38: 36+38=74. | addition_word |
10,356 | percentages | easy | What is 41% of 741? | 303.81 | Calculate 41/100 * 741 = 0.41*741 = 303.81. | percentages |
10,357 | calculus | medium | What is the derivative of 6x^8 with respect to x? | 48x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^8] = 6*8*x^7 = 48x^7. | derivative |
10,358 | algebra | easy | Solve for x: 8x + 27 = -101 | -16 | Subtract 27 from both sides: 8x = -101-27=-128. Then divide by 8: x = -128/8 = -16. | linear_equation |
10,359 | 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 |
10,360 | word_problems | easy | If you have 56 books and you buy 11 more books, how many books do you have in total? | 67 | Add initial 56 plus bought 11: 56+11=67. | addition_word |
10,361 | statistics | easy | What is the mean (average) of 43, 29, 31? | 34.33 | Mean = sum/count. Sum = 43+29+31=103. Count=3. Mean=103/3=34.33. | mean |
10,362 | exponents | easy | What is 2^5? | 32 | 2^5 means multiply 2 by itself 5 times: 2*2*2*2*2 = 32. | exponents |
10,363 | algebra | medium | Solve for x: x^2 + 16x + 63 = 0 | x = -9, -7 | Factor: (x - -9)(x - -7) = x^2 -(-16)x + 63 = 0. So x = -9 or -7. Check sum = -16, product = 63. | quadratic |
10,364 | 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 |
10,365 | fractions | medium | What is 8/10 - 2/5? Give as simplified fraction. | 2/5 | Common denominator 50. Numerator 40-20=20. So 20/50 simplifies to 2/5. | fraction_operations |
10,366 | algebra | easy | Solve for x: 3x - 3 = 12 | 5 | Add 3 to both sides: 3x = 12+3=15. Then x = 15/3 = 5. | linear_equation |
10,367 | fractions | medium | What is 9/12 + 6/15? Give as simplified fraction. | 23/20 | Common denominator 12*15=180. 9/12=135/180, 6/15=72/180. Sum = 207/180 = 23/20 simplified. | fraction_operations |
10,368 | 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 |
10,369 | 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 |
10,370 | fractions | medium | What is 7/13 - 15/3? Give as simplified fraction. | -58/13 | Common denominator 39. Numerator 21-195=-174. So -174/39 simplifies to -58/13. | fraction_operations |
10,371 | geometry | easy | Find the area of a circle with radius 24. Use pi=3.14159, round to 2 decimals. | 1809.56 | Area = pi*r^2 = 3.14159*24^2 = 3.14159*576 = 1809.56. | circle_area |
10,372 | number_theory | medium | What is the LCM (least common multiple) of 92 and 16? | 368 | LCM = |92*16| / GCD(92,16). GCD=4, so LCM=1472/4=368. | lcm |
10,373 | fractions | medium | What is 9/11 + 5/4? Give as simplified fraction. | 91/44 | Common denominator 11*4=44. 9/11=36/44, 5/4=55/44. Sum = 91/44 = 91/44 simplified. | fraction_operations |
10,374 | arithmetic | easy | What is 10614 / 61? | 174 | Divide: 10614 ÷ 61 = 174 because 61*174=10614. | division |
10,375 | exponents | easy | What is 11^4? | 14641 | 11^4 means multiply 11 by itself 4 times: 11*11*11*11 = 14641. | exponents |
10,376 | statistics | easy | What is the mean (average) of 37, 22, 98, 11, 81? | 49.8 | Mean = sum/count. Sum = 37+22+98+11+81=249. Count=5. Mean=249/5=49.8. | mean |
10,377 | exponents | easy | What is 4^4? | 256 | 4^4 means multiply 4 by itself 4 times: 4*4*4*4 = 256. | exponents |
10,378 | 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 |
10,379 | arithmetic | easy | What is 1872 / 48? | 39 | Divide: 1872 ÷ 48 = 39 because 48*39=1872. | division |
10,380 | arithmetic | easy | What is 7609 divided by 54? Give answer to 2 decimal places. | 140.91 | Calculate 7609/ 54 = 140.9074, rounded to 2 decimals is 140.91. | division |
10,381 | algebra | medium | Solve for x: x^2 - 4 = 0 | x = -2, 2 | Factor: (x - -2)(x - 2) = x^2 -(0)x + -4 = 0. So x = -2 or 2. Check sum = 0, product = -4. | quadratic |
10,382 | exponents | easy | What is 4^5? | 1024 | 4^5 means multiply 4 by itself 5 times: 4*4*4*4*4 = 1024. | exponents |
10,383 | algebra | medium | Solve for x: x^2 - 2x - 8 = 0 | x = -2, 4 | Factor: (x - -2)(x - 4) = x^2 -(2)x + -8 = 0. So x = -2 or 4. Check sum = 2, product = -8. | quadratic |
10,384 | fractions | medium | What is 11/8 - 20/18? Give as simplified fraction. | 19/72 | Common denominator 144. Numerator 198-160=38. So 38/144 simplifies to 19/72. | fraction_operations |
10,385 | number_theory | medium | What is the GCD (greatest common divisor) of 98 and 83? | 1 | Find greatest number dividing both 98 and 83. Divisors common, greatest is 1. | gcd |
10,386 | number_theory | medium | What is the GCD (greatest common divisor) of 31 and 1? | 1 | Find greatest number dividing both 31 and 1. Divisors common, greatest is 1. | gcd |
10,387 | word_problems | easy | If you have 45 dollars and you buy 8 more dollars, how many dollars do you have in total? | 53 | Add initial 45 plus bought 8: 45+8=53. | addition_word |
10,388 | number_theory | medium | What is the GCD (greatest common divisor) of 84 and 10? | 2 | Find greatest number dividing both 84 and 10. Divisors common, greatest is 2. | gcd |
10,389 | geometry | easy | Find the circumference of a circle with radius 37. Use pi=3.14159, round to 2 decimals. | 232.48 | Circumference = 2*pi*r = 2*3.14159*37 = 232.48. | circle_circum |
10,390 | algebra | medium | Solve for x: x^2 + 12x + 27 = 0 | x = -3, -9 | Factor: (x - -3)(x - -9) = x^2 -(-12)x + 27 = 0. So x = -3 or -9. Check sum = -12, product = 27. | quadratic |
10,391 | roots | easy | What is the square root of 900? | 30 | Find number that when squared gives 900. 30*30=900, so sqrt(900)=30. | square_roots |
10,392 | 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 |
10,393 | fractions | medium | What is 3/2 + 17/4? Give as simplified fraction. | 23/4 | Common denominator 2*4=8. 3/2=12/8, 17/4=34/8. Sum = 46/8 = 23/4 simplified. | fraction_operations |
10,394 | geometry | easy | Find the circumference of a circle with radius 20. Use pi=3.14159, round to 2 decimals. | 125.66 | Circumference = 2*pi*r = 2*3.14159*20 = 125.66. | circle_circum |
10,395 | percentages | easy | What is 96% of 490? | 470.4 | Calculate 96/100 * 490 = 0.96*490 = 470.4. | percentages |
10,396 | 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 |
10,397 | fractions | medium | What is 2/4 + 9/15? Give as simplified fraction. | 11/10 | Common denominator 4*15=60. 2/4=30/60, 9/15=36/60. Sum = 66/60 = 11/10 simplified. | fraction_operations |
10,398 | 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 |
10,399 | 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 |
10,400 | calculus | medium | What is the derivative of 10x^8 with respect to x? | 80x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^8] = 10*8*x^7 = 80x^7. | derivative |
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