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 |
|---|---|---|---|---|---|---|
2,201 | arithmetic | easy | What is 16 * 18? | 288 | Multiply: 16 * 18 = 288. | basic_operations |
2,202 | geometry | easy | Find the circumference of a circle with radius 14. Use pi=3.14159, round to 2 decimals. | 87.96 | Circumference = 2*pi*r = 2*3.14159*14 = 87.96. | circle_circum |
2,203 | 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 |
2,204 | 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 |
2,205 | geometry | easy | Find the circumference of a circle with radius 18. Use pi=3.14159, round to 2 decimals. | 113.1 | Circumference = 2*pi*r = 2*3.14159*18 = 113.1. | circle_circum |
2,206 | percentages | easy | What is 85% of 330? | 280.5 | Calculate 85/100 * 330 = 0.85*330 = 280.5. | percentages |
2,207 | 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 |
2,208 | word_problems | easy | If you have 81 apples and you buy 22 more apples, how many apples do you have in total? | 103 | Add initial 81 plus bought 22: 81+22=103. | addition_word |
2,209 | algebra | easy | Solve for x: 1x + 27 = 37 | 10 | Subtract 27 from both sides: 1x = 37-27=10. Then divide by 1: x = 10/1 = 10. | linear_equation |
2,210 | arithmetic | easy | What is 924 + 10? | 934 | Add the two numbers: 924 + 10 = 934. | basic_operations |
2,211 | statistics | easy | What is the mean (average) of 69, 11, 84, 84? | 62 | Mean = sum/count. Sum = 69+11+84+84=248. Count=4. Mean=248/4=62.0. | mean |
2,212 | arithmetic | easy | What is 552 - 32? | 520 | Subtract: 552 - 32 = 520. | basic_operations |
2,213 | 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 |
2,214 | calculus | medium | What is the derivative of 1x^3 with respect to x? | 3x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^3] = 1*3*x^2 = 3x^2. | derivative |
2,215 | arithmetic | easy | What is 11590 / 61? | 190 | Divide: 11590 ÷ 61 = 190 because 61*190=11590. | division |
2,216 | word_problems | easy | If you have 6 apples and you buy 15 more apples, how many apples do you have in total? | 21 | Add initial 6 plus bought 15: 6+15=21. | addition_word |
2,217 | geometry | easy | Find the area of a circle with radius 13. Use pi=3.14159, round to 2 decimals. | 530.93 | Area = pi*r^2 = 3.14159*13^2 = 3.14159*169 = 530.93. | circle_area |
2,218 | arithmetic | easy | What is 836 - 629? | 207 | Subtract: 836 - 629 = 207. | basic_operations |
2,219 | percentages | easy | What is 30% of 506? | 151.8 | Calculate 30/100 * 506 = 0.3*506 = 151.8. | percentages |
2,220 | number_theory | medium | What is the LCM (least common multiple) of 5 and 36? | 180 | LCM = |5*36| / GCD(5,36). GCD=1, so LCM=180/1=180. | lcm |
2,221 | fractions | medium | What is 1/8 - 13/5? Give as simplified fraction. | -99/40 | Common denominator 40. Numerator 5-104=-99. So -99/40 simplifies to -99/40. | fraction_operations |
2,222 | statistics | easy | What is the mean (average) of 71, 25, 85? | 60.33 | Mean = sum/count. Sum = 71+25+85=181. Count=3. Mean=181/3=60.33. | mean |
2,223 | algebra | medium | Solve for x: x^2 - 64 = 0 | x = -8, 8 | Factor: (x - -8)(x - 8) = x^2 -(0)x + -64 = 0. So x = -8 or 8. Check sum = 0, product = -64. | quadratic |
2,224 | algebra | easy | Solve for x: 3x - 34 = -46 | -4 | Add 34 to both sides: 3x = -46+34=-12. Then x = -12/3 = -4. | linear_equation |
2,225 | percentages | easy | What is 67% of 747? | 500.49 | Calculate 67/100 * 747 = 0.67*747 = 500.49. | percentages |
2,226 | geometry | easy | Find the perimeter of a rectangle with length 87 and width 3. | 180 | Perimeter = 2*(length+width) = 2*(87+3) = 2*90 = 180. | rectangle_perim |
2,227 | geometry | easy | Find the area of a triangle with base 59 and height 1. | 29.5 | Area = 0.5*base*height = 0.5*59*1 = 29.5. | triangle_area |
2,228 | 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 |
2,229 | arithmetic | easy | What is 962 - 875? | 87 | Subtract: 962 - 875 = 87. | basic_operations |
2,230 | 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 |
2,231 | arithmetic | easy | What is 23734 divided by 89? Give answer to 2 decimal places. | 266.67 | Calculate 23734/ 89 = 266.6742, rounded to 2 decimals is 266.67. | division |
2,232 | number_theory | medium | What is the GCD (greatest common divisor) of 67 and 98? | 1 | Find greatest number dividing both 67 and 98. Divisors common, greatest is 1. | gcd |
2,233 | percentages | easy | What is 7% of 285? | 19.95 | Calculate 7/100 * 285 = 0.07*285 = 19.95. | percentages |
2,234 | 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 |
2,235 | word_problems | easy | If you have 45 candies and you buy 1 more candies, how many candies do you have in total? | 46 | Add initial 45 plus bought 1: 45+1=46. | addition_word |
2,236 | fractions | medium | What is 11/4 * 19/2? Give as simplified fraction. | 209/8 | Multiply numerators: 11*19=209. Denominators: 4*2=8. Simplify by gcd 1 to get 209/8. | fraction_operations |
2,237 | percentages | easy | What is 89% of 434? | 386.26 | Calculate 89/100 * 434 = 0.89*434 = 386.26. | percentages |
2,238 | arithmetic | easy | What is 940 + 256? | 1196 | Add the two numbers: 940 + 256 = 1196. | basic_operations |
2,239 | arithmetic | easy | What is 642 + 641? | 1283 | Add the two numbers: 642 + 641 = 1283. | basic_operations |
2,240 | arithmetic | easy | What is 817 - 607? | 210 | Subtract: 817 - 607 = 210. | basic_operations |
2,241 | percentages | easy | What is 14% of 485? | 67.9 | Calculate 14/100 * 485 = 0.14*485 = 67.9. | percentages |
2,242 | percentages | easy | What is 44% of 853? | 375.32 | Calculate 44/100 * 853 = 0.44*853 = 375.32. | percentages |
2,243 | arithmetic | easy | What is 842 + 342? | 1184 | Add the two numbers: 842 + 342 = 1184. | basic_operations |
2,244 | word_problems | easy | If you have 17 candies and you buy 41 more candies, how many candies do you have in total? | 58 | Add initial 17 plus bought 41: 17+41=58. | addition_word |
2,245 | arithmetic | easy | What is 5988 / 12? | 499 | Divide: 5988 ÷ 12 = 499 because 12*499=5988. | division |
2,246 | calculus | medium | What is the derivative of 2x^4 with respect to x? | 8x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^4] = 2*4*x^3 = 8x^3. | derivative |
2,247 | algebra | easy | Solve for x: 2x + 6 = -28 | -17 | Subtract 6 from both sides: 2x = -28-6=-34. Then divide by 2: x = -34/2 = -17. | linear_equation |
2,248 | exponents | easy | What is 11^5? | 161051 | 11^5 means multiply 11 by itself 5 times: 11*11*11*11*11 = 161051. | exponents |
2,249 | arithmetic | easy | What is 7 * 38? | 266 | Multiply: 7 * 38 = 266. | basic_operations |
2,250 | calculus | medium | What is the derivative of 10x^2 with respect to x? | 20x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^2] = 10*2*x^1 = 20x. | derivative |
2,251 | 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 |
2,252 | arithmetic | easy | What is 465 - 394? | 71 | Subtract: 465 - 394 = 71. | basic_operations |
2,253 | arithmetic | easy | What is 15030 / 45? | 334 | Divide: 15030 ÷ 45 = 334 because 45*334=15030. | division |
2,254 | word_problems | easy | If you have 71 pencils and you buy 22 more pencils, how many pencils do you have in total? | 93 | Add initial 71 plus bought 22: 71+22=93. | addition_word |
2,255 | fractions | medium | What is 4/5 * 1/4? Give as simplified fraction. | 1/5 | Multiply numerators: 4*1=4. Denominators: 5*4=20. Simplify by gcd 4 to get 1/5. | fraction_operations |
2,256 | fractions | medium | What is 19/6 - 17/10? Give as simplified fraction. | 22/15 | Common denominator 60. Numerator 190-102=88. So 88/60 simplifies to 22/15. | fraction_operations |
2,257 | 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 |
2,258 | word_problems | easy | If you have 28 books and you buy 16 more books, how many books do you have in total? | 44 | Add initial 28 plus bought 16: 28+16=44. | addition_word |
2,259 | arithmetic | easy | What is 56 * 66? | 3696 | Multiply: 56 * 66 = 3696. | basic_operations |
2,260 | number_theory | medium | What is the GCD (greatest common divisor) of 40 and 75? | 5 | Find greatest number dividing both 40 and 75. Divisors common, greatest is 5. | gcd |
2,261 | algebra | easy | Solve for x: 16x - 11 = 277 | 18 | Add 11 to both sides: 16x = 277+11=288. Then x = 288/16 = 18. | linear_equation |
2,262 | roots | easy | What is the square root of 361? | 19 | Find number that when squared gives 361. 19*19=361, so sqrt(361)=19. | square_roots |
2,263 | number_theory | medium | What is the GCD (greatest common divisor) of 2 and 67? | 1 | Find greatest number dividing both 2 and 67. Divisors common, greatest is 1. | gcd |
2,264 | arithmetic | easy | What is 244 + 520? | 764 | Add the two numbers: 244 + 520 = 764. | basic_operations |
2,265 | fractions | medium | What is 7/8 + 3/12? Give as simplified fraction. | 9/8 | Common denominator 8*12=96. 7/8=84/96, 3/12=24/96. Sum = 108/96 = 9/8 simplified. | fraction_operations |
2,266 | statistics | easy | What is the mean (average) of 89, 60, 77, 89, 43? | 71.6 | Mean = sum/count. Sum = 89+60+77+89+43=358. Count=5. Mean=358/5=71.6. | mean |
2,267 | roots | easy | What is the square root of 1600? | 40 | Find number that when squared gives 1600. 40*40=1600, so sqrt(1600)=40. | square_roots |
2,268 | exponents | easy | What is 8^4? | 4096 | 8^4 means multiply 8 by itself 4 times: 8*8*8*8 = 4096. | exponents |
2,269 | algebra | medium | Solve for x: x^2 + 3x - 28 = 0 | x = -7, 4 | Factor: (x - -7)(x - 4) = x^2 -(-3)x + -28 = 0. So x = -7 or 4. Check sum = -3, product = -28. | quadratic |
2,270 | arithmetic | easy | What is 29 + 89 * 1? Remember order of operations. | 118 | Order of operations (PEMDAS): first 89*1=89, then 29+89=118. | basic_operations |
2,271 | fractions | medium | What is 8/17 + 11/14? Give as simplified fraction. | 299/238 | Common denominator 17*14=238. 8/17=112/238, 11/14=187/238. Sum = 299/238 = 299/238 simplified. | fraction_operations |
2,272 | calculus | medium | What is the derivative of 1x^3 with respect to x? | 3x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^3] = 1*3*x^2 = 3x^2. | derivative |
2,273 | number_theory | medium | What is the LCM (least common multiple) of 2 and 10? | 10 | LCM = |2*10| / GCD(2,10). GCD=2, so LCM=20/2=10. | lcm |
2,274 | arithmetic | easy | What is 569 - 118? | 451 | Subtract: 569 - 118 = 451. | basic_operations |
2,275 | number_theory | medium | What is the GCD (greatest common divisor) of 6 and 4? | 2 | Find greatest number dividing both 6 and 4. Divisors common, greatest is 2. | gcd |
2,276 | fractions | medium | What is 10/7 * 8/10? Give as simplified fraction. | 8/7 | Multiply numerators: 10*8=80. Denominators: 7*10=70. Simplify by gcd 10 to get 8/7. | fraction_operations |
2,277 | algebra | medium | Solve for x: x^2 - 7x = 0 | x = 0, 7 | Factor: (x - 0)(x - 7) = x^2 -(7)x + 0 = 0. So x = 0 or 7. Check sum = 7, product = 0. | quadratic |
2,278 | percentages | easy | What is 23% of 201? | 46.23 | Calculate 23/100 * 201 = 0.23*201 = 46.23. | percentages |
2,279 | arithmetic | easy | What is 181 + 864 * 34? Remember order of operations. | 29557 | Order of operations (PEMDAS): first 864*34=29376, then 181+29376=29557. | basic_operations |
2,280 | algebra | easy | Solve for x: 13x + 33 = -136 | -13 | Subtract 33 from both sides: 13x = -136-33=-169. Then divide by 13: x = -169/13 = -13. | linear_equation |
2,281 | 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 |
2,282 | exponents | easy | What is 9^3? | 729 | 9^3 means multiply 9 by itself 3 times: 9*9*9 = 729. | exponents |
2,283 | number_theory | medium | What is the GCD (greatest common divisor) of 48 and 85? | 1 | Find greatest number dividing both 48 and 85. Divisors common, greatest is 1. | gcd |
2,284 | 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 |
2,285 | arithmetic | easy | What is 122 + 148 * 17? Remember order of operations. | 2638 | Order of operations (PEMDAS): first 148*17=2516, then 122+2516=2638. | basic_operations |
2,286 | calculus | medium | What is the derivative of 6x^7 with respect to x? | 42x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^7] = 6*7*x^6 = 42x^6. | derivative |
2,287 | roots | easy | What is the square root of 1521? | 39 | Find number that when squared gives 1521. 39*39=1521, so sqrt(1521)=39. | square_roots |
2,288 | 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 |
2,289 | percentages | easy | What is 6% of 782? | 46.92 | Calculate 6/100 * 782 = 0.06*782 = 46.92. | percentages |
2,290 | fractions | medium | What is 18/11 + 5/12? Give as simplified fraction. | 271/132 | Common denominator 11*12=132. 18/11=216/132, 5/12=55/132. Sum = 271/132 = 271/132 simplified. | fraction_operations |
2,291 | arithmetic | easy | What is 645 + 815? | 1460 | Add the two numbers: 645 + 815 = 1460. | basic_operations |
2,292 | statistics | easy | What is the mean (average) of 94, 11, 61? | 55.33 | Mean = sum/count. Sum = 94+11+61=166. Count=3. Mean=166/3=55.33. | mean |
2,293 | arithmetic | easy | What is 97 * 66? | 6402 | Multiply: 97 * 66 = 6402. | basic_operations |
2,294 | word_problems | easy | If you have 27 dollars and you buy 21 more dollars, how many dollars do you have in total? | 48 | Add initial 27 plus bought 21: 27+21=48. | addition_word |
2,295 | statistics | easy | What is the mean (average) of 64, 61, 35, 75, 52? | 57.4 | Mean = sum/count. Sum = 64+61+35+75+52=287. Count=5. Mean=287/5=57.4. | mean |
2,296 | arithmetic | easy | What is 225 - 213? | 12 | Subtract: 225 - 213 = 12. | basic_operations |
2,297 | 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 |
2,298 | 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 |
2,299 | algebra | medium | Solve for x: x^2 + 1x - 2 = 0 | x = 1, -2 | Factor: (x - 1)(x - -2) = x^2 -(-1)x + -2 = 0. So x = 1 or -2. Check sum = -1, product = -2. | quadratic |
2,300 | arithmetic | easy | What is 770 - 138? | 632 | Subtract: 770 - 138 = 632. | basic_operations |
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