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 |
|---|---|---|---|---|---|---|
12,301 | arithmetic | easy | What is 87 + 379? | 466 | Add the two numbers: 87 + 379 = 466. | basic_operations |
12,302 | word_problems | easy | If you have 100 books and you buy 2 more books, how many books do you have in total? | 102 | Add initial 100 plus bought 2: 100+2=102. | addition_word |
12,303 | exponents | easy | What is 3^4? | 81 | 3^4 means multiply 3 by itself 4 times: 3*3*3*3 = 81. | exponents |
12,304 | word_problems | easy | If you have 66 candies and you buy 22 more candies, how many candies do you have in total? | 88 | Add initial 66 plus bought 22: 66+22=88. | addition_word |
12,305 | 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 |
12,306 | statistics | easy | What is the mean (average) of 31, 57, 76? | 54.67 | Mean = sum/count. Sum = 31+57+76=164. Count=3. Mean=164/3=54.67. | mean |
12,307 | statistics | easy | What is the mean (average) of 68, 4, 89? | 53.67 | Mean = sum/count. Sum = 68+4+89=161. Count=3. Mean=161/3=53.67. | mean |
12,308 | roots | easy | What is the square root of 256? | 16 | Find number that when squared gives 256. 16*16=256, so sqrt(256)=16. | square_roots |
12,309 | 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 |
12,310 | arithmetic | easy | What is 818 + 181? | 999 | Add the two numbers: 818 + 181 = 999. | basic_operations |
12,311 | percentages | easy | What is 85% of 890? | 756.5 | Calculate 85/100 * 890 = 0.85*890 = 756.5. | percentages |
12,312 | 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 |
12,313 | word_problems | easy | If you have 93 dollars and you buy 48 more dollars, how many dollars do you have in total? | 141 | Add initial 93 plus bought 48: 93+48=141. | addition_word |
12,314 | fractions | medium | What is 16/14 - 9/11? Give as simplified fraction. | 25/77 | Common denominator 154. Numerator 176-126=50. So 50/154 simplifies to 25/77. | fraction_operations |
12,315 | arithmetic | easy | What is 7073 divided by 22? Give answer to 2 decimal places. | 321.5 | Calculate 7073/ 22 = 321.5000, rounded to 2 decimals is 321.5. | division |
12,316 | algebra | easy | Solve for x: 6x - 31 = -151 | -20 | Add 31 to both sides: 6x = -151+31=-120. Then x = -120/6 = -20. | linear_equation |
12,317 | fractions | medium | What is 9/15 + 9/10? Give as simplified fraction. | 3/2 | Common denominator 15*10=150. 9/15=90/150, 9/10=135/150. Sum = 225/150 = 3/2 simplified. | fraction_operations |
12,318 | 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 |
12,319 | arithmetic | easy | What is 49 * 6? | 294 | Multiply: 49 * 6 = 294. | basic_operations |
12,320 | 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 |
12,321 | fractions | medium | What is 20/10 + 11/4? Give as simplified fraction. | 19/4 | Common denominator 10*4=40. 20/10=80/40, 11/4=110/40. Sum = 190/40 = 19/4 simplified. | fraction_operations |
12,322 | 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 |
12,323 | fractions | medium | What is 17/6 + 20/6? Give as simplified fraction. | 37/6 | Common denominator 6*6=36. 17/6=102/36, 20/6=120/36. Sum = 222/36 = 37/6 simplified. | fraction_operations |
12,324 | calculus | medium | What is the derivative of 10x^3 with respect to x? | 30x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^3] = 10*3*x^2 = 30x^2. | derivative |
12,325 | calculus | medium | What is the derivative of 5x^2 with respect to x? | 10x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^2] = 5*2*x^1 = 10x. | derivative |
12,326 | algebra | medium | Solve for x: x^2 - 11x + 30 = 0 | x = 5, 6 | Factor: (x - 5)(x - 6) = x^2 -(11)x + 30 = 0. So x = 5 or 6. Check sum = 11, product = 30. | quadratic |
12,327 | number_theory | medium | What is the GCD (greatest common divisor) of 90 and 64? | 2 | Find greatest number dividing both 90 and 64. Divisors common, greatest is 2. | gcd |
12,328 | arithmetic | easy | What is 252 + 432? | 684 | Add the two numbers: 252 + 432 = 684. | basic_operations |
12,329 | number_theory | medium | What is the LCM (least common multiple) of 49 and 77? | 539 | LCM = |49*77| / GCD(49,77). GCD=7, so LCM=3773/7=539. | lcm |
12,330 | 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 |
12,331 | 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 |
12,332 | arithmetic | easy | What is 39 + 10 * 50? Remember order of operations. | 539 | Order of operations (PEMDAS): first 10*50=500, then 39+500=539. | basic_operations |
12,333 | 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 |
12,334 | arithmetic | easy | What is 98 * 98? | 9604 | Multiply: 98 * 98 = 9604. | basic_operations |
12,335 | calculus | medium | What is the derivative of 1x^8 with respect to x? | 8x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^8] = 1*8*x^7 = 8x^7. | derivative |
12,336 | arithmetic | easy | What is 906 + 94 * 1? Remember order of operations. | 1000 | Order of operations (PEMDAS): first 94*1=94, then 906+94=1000. | basic_operations |
12,337 | algebra | medium | Solve for x: x^2 + 2x - 8 = 0 | x = -4, 2 | Factor: (x - -4)(x - 2) = x^2 -(-2)x + -8 = 0. So x = -4 or 2. Check sum = -2, product = -8. | quadratic |
12,338 | arithmetic | easy | What is 4 * 65? | 260 | Multiply: 4 * 65 = 260. | basic_operations |
12,339 | exponents | easy | What is 6^4? | 1296 | 6^4 means multiply 6 by itself 4 times: 6*6*6*6 = 1296. | exponents |
12,340 | fractions | medium | What is 16/6 + 4/8? Give as simplified fraction. | 19/6 | Common denominator 6*8=48. 16/6=128/48, 4/8=24/48. Sum = 152/48 = 19/6 simplified. | fraction_operations |
12,341 | 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 |
12,342 | statistics | easy | What is the mean (average) of 54, 28, 72, 29? | 45.75 | Mean = sum/count. Sum = 54+28+72+29=183. Count=4. Mean=183/4=45.75. | mean |
12,343 | arithmetic | easy | What is 65 * 8? | 520 | Multiply: 65 * 8 = 520. | basic_operations |
12,344 | percentages | easy | What is 66% of 914? | 603.24 | Calculate 66/100 * 914 = 0.66*914 = 603.24. | percentages |
12,345 | exponents | easy | What is 5^2? | 25 | 5^2 means multiply 5 by itself 2 times: 5*5 = 25. | exponents |
12,346 | statistics | easy | What is the mean (average) of 63, 43, 99, 49, 66? | 64 | Mean = sum/count. Sum = 63+43+99+49+66=320. Count=5. Mean=320/5=64.0. | mean |
12,347 | geometry | easy | Find the perimeter of a rectangle with length 16 and width 72. | 176 | Perimeter = 2*(length+width) = 2*(16+72) = 2*88 = 176. | rectangle_perim |
12,348 | arithmetic | easy | What is 28397 / 73? | 389 | Divide: 28397 ÷ 73 = 389 because 73*389=28397. | division |
12,349 | statistics | easy | What is the mean (average) of 60, 22, 77, 12? | 42.75 | Mean = sum/count. Sum = 60+22+77+12=171. Count=4. Mean=171/4=42.75. | mean |
12,350 | percentages | easy | What is 14% of 126? | 17.64 | Calculate 14/100 * 126 = 0.14*126 = 17.64. | percentages |
12,351 | algebra | medium | Solve for x: x^2 - 3x + 2 = 0 | x = 2, 1 | Factor: (x - 2)(x - 1) = x^2 -(3)x + 2 = 0. So x = 2 or 1. Check sum = 3, product = 2. | quadratic |
12,352 | word_problems | easy | If you have 44 apples and you buy 25 more apples, how many apples do you have in total? | 69 | Add initial 44 plus bought 25: 44+25=69. | addition_word |
12,353 | fractions | medium | What is 2/6 + 7/5? Give as simplified fraction. | 26/15 | Common denominator 6*5=30. 2/6=10/30, 7/5=42/30. Sum = 52/30 = 26/15 simplified. | fraction_operations |
12,354 | arithmetic | easy | What is 541 - 502? | 39 | Subtract: 541 - 502 = 39. | basic_operations |
12,355 | arithmetic | easy | What is 316 + 182? | 498 | Add the two numbers: 316 + 182 = 498. | basic_operations |
12,356 | statistics | easy | What is the mean (average) of 68, 70, 71, 12? | 55.25 | Mean = sum/count. Sum = 68+70+71+12=221. Count=4. Mean=221/4=55.25. | mean |
12,357 | arithmetic | easy | What is 546 + 326 * 79? Remember order of operations. | 26300 | Order of operations (PEMDAS): first 326*79=25754, then 546+25754=26300. | basic_operations |
12,358 | fractions | medium | What is 1/10 - 4/14? Give as simplified fraction. | -13/70 | Common denominator 140. Numerator 14-40=-26. So -26/140 simplifies to -13/70. | fraction_operations |
12,359 | algebra | easy | Solve for x: 15x - 29 = 46 | 5 | Add 29 to both sides: 15x = 46+29=75. Then x = 75/15 = 5. | linear_equation |
12,360 | arithmetic | easy | What is 567 + 910 * 73? Remember order of operations. | 66997 | Order of operations (PEMDAS): first 910*73=66430, then 567+66430=66997. | basic_operations |
12,361 | number_theory | medium | What is the GCD (greatest common divisor) of 29 and 13? | 1 | Find greatest number dividing both 29 and 13. Divisors common, greatest is 1. | gcd |
12,362 | arithmetic | easy | What is 997 - 921? | 76 | Subtract: 997 - 921 = 76. | basic_operations |
12,363 | algebra | medium | Solve for x: x^2 + 8x = 0 | x = 0, -8 | Factor: (x - 0)(x - -8) = x^2 -(-8)x + 0 = 0. So x = 0 or -8. Check sum = -8, product = 0. | quadratic |
12,364 | percentages | easy | What is 51% of 889? | 453.39 | Calculate 51/100 * 889 = 0.51*889 = 453.39. | percentages |
12,365 | algebra | medium | Solve for x: x^2 + 10x + 24 = 0 | x = -6, -4 | Factor: (x - -6)(x - -4) = x^2 -(-10)x + 24 = 0. So x = -6 or -4. Check sum = -10, product = 24. | quadratic |
12,366 | arithmetic | easy | What is 221 - 77? | 144 | Subtract: 221 - 77 = 144. | basic_operations |
12,367 | algebra | medium | Solve for x: x^2 + 2x - 80 = 0 | x = -10, 8 | Factor: (x - -10)(x - 8) = x^2 -(-2)x + -80 = 0. So x = -10 or 8. Check sum = -2, product = -80. | quadratic |
12,368 | arithmetic | easy | What is 853 + 612 * 40? Remember order of operations. | 25333 | Order of operations (PEMDAS): first 612*40=24480, then 853+24480=25333. | basic_operations |
12,369 | geometry | easy | Find the circumference of a circle with radius 40. Use pi=3.14159, round to 2 decimals. | 251.33 | Circumference = 2*pi*r = 2*3.14159*40 = 251.33. | circle_circum |
12,370 | 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 |
12,371 | 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 |
12,372 | statistics | easy | What is the mean (average) of 63, 21, 5? | 29.67 | Mean = sum/count. Sum = 63+21+5=89. Count=3. Mean=89/3=29.67. | mean |
12,373 | exponents | easy | What is 7^2? | 49 | 7^2 means multiply 7 by itself 2 times: 7*7 = 49. | exponents |
12,374 | arithmetic | easy | What is 88 + 45 * 27? Remember order of operations. | 1303 | Order of operations (PEMDAS): first 45*27=1215, then 88+1215=1303. | basic_operations |
12,375 | fractions | medium | What is 12/2 * 4/14? Give as simplified fraction. | 12/7 | Multiply numerators: 12*4=48. Denominators: 2*14=28. Simplify by gcd 4 to get 12/7. | fraction_operations |
12,376 | algebra | medium | Solve for x: x^2 + 3x - 18 = 0 | x = 3, -6 | Factor: (x - 3)(x - -6) = x^2 -(-3)x + -18 = 0. So x = 3 or -6. Check sum = -3, product = -18. | quadratic |
12,377 | 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 |
12,378 | arithmetic | easy | What is 864 - 320? | 544 | Subtract: 864 - 320 = 544. | basic_operations |
12,379 | arithmetic | easy | What is 8064 / 64? | 126 | Divide: 8064 ÷ 64 = 126 because 64*126=8064. | division |
12,380 | arithmetic | easy | What is 830 + 747 * 44? Remember order of operations. | 33698 | Order of operations (PEMDAS): first 747*44=32868, then 830+32868=33698. | basic_operations |
12,381 | algebra | easy | Solve for x: 1x + 25 = 30 | 5 | Subtract 25 from both sides: 1x = 30-25=5. Then divide by 1: x = 5/1 = 5. | linear_equation |
12,382 | word_problems | easy | If you have 30 pencils and you buy 4 more pencils, how many pencils do you have in total? | 34 | Add initial 30 plus bought 4: 30+4=34. | addition_word |
12,383 | algebra | easy | Solve for x: 10x - 50 = 50 | 10 | Add 50 to both sides: 10x = 50+50=100. Then x = 100/10 = 10. | linear_equation |
12,384 | exponents | easy | What is 3^3? | 27 | 3^3 means multiply 3 by itself 3 times: 3*3*3 = 27. | exponents |
12,385 | roots | easy | What is the square root of 1369? | 37 | Find number that when squared gives 1369. 37*37=1369, so sqrt(1369)=37. | square_roots |
12,386 | 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 |
12,387 | roots | easy | What is the square root of 256? | 16 | Find number that when squared gives 256. 16*16=256, so sqrt(256)=16. | square_roots |
12,388 | percentages | easy | What is 73% of 52? | 37.96 | Calculate 73/100 * 52 = 0.73*52 = 37.96. | percentages |
12,389 | percentages | easy | What is 50% of 231? | 115.5 | Calculate 50/100 * 231 = 0.5*231 = 115.5. | percentages |
12,390 | number_theory | medium | What is the GCD (greatest common divisor) of 62 and 36? | 2 | Find greatest number dividing both 62 and 36. Divisors common, greatest is 2. | gcd |
12,391 | percentages | easy | What is 78% of 104? | 81.12 | Calculate 78/100 * 104 = 0.78*104 = 81.12. | percentages |
12,392 | roots | easy | What is the square root of 1089? | 33 | Find number that when squared gives 1089. 33*33=1089, so sqrt(1089)=33. | square_roots |
12,393 | arithmetic | easy | What is 39 * 14? | 546 | Multiply: 39 * 14 = 546. | basic_operations |
12,394 | calculus | medium | What is the derivative of 6x^5 with respect to x? | 30x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^5] = 6*5*x^4 = 30x^4. | derivative |
12,395 | arithmetic | easy | What is 731 - 95? | 636 | Subtract: 731 - 95 = 636. | basic_operations |
12,396 | arithmetic | easy | What is 7236 / 36? | 201 | Divide: 7236 ÷ 36 = 201 because 36*201=7236. | division |
12,397 | arithmetic | easy | What is 48 * 47? | 2256 | Multiply: 48 * 47 = 2256. | basic_operations |
12,398 | exponents | easy | What is 8^4? | 4096 | 8^4 means multiply 8 by itself 4 times: 8*8*8*8 = 4096. | exponents |
12,399 | 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 |
12,400 | arithmetic | easy | What is 32769 / 99? | 331 | Divide: 32769 ÷ 99 = 331 because 99*331=32769. | division |
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