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 |
|---|---|---|---|---|---|---|
4,201 | arithmetic | easy | What is 56 * 10? | 560 | Multiply: 56 * 10 = 560. | basic_operations |
4,202 | number_theory | medium | What is the LCM (least common multiple) of 66 and 71? | 4686 | LCM = |66*71| / GCD(66,71). GCD=1, so LCM=4686/1=4686. | lcm |
4,203 | arithmetic | easy | What is 957 + 890? | 1847 | Add the two numbers: 957 + 890 = 1847. | basic_operations |
4,204 | fractions | medium | What is 10/18 + 6/2? Give as simplified fraction. | 32/9 | Common denominator 18*2=36. 10/18=20/36, 6/2=108/36. Sum = 128/36 = 32/9 simplified. | fraction_operations |
4,205 | algebra | easy | Solve for x: 18x - 16 = -322 | -17 | Add 16 to both sides: 18x = -322+16=-306. Then x = -306/18 = -17. | linear_equation |
4,206 | arithmetic | easy | What is 48 * 4? | 192 | Multiply: 48 * 4 = 192. | basic_operations |
4,207 | 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 |
4,208 | word_problems | easy | If you have 49 dollars and you buy 40 more dollars, how many dollars do you have in total? | 89 | Add initial 49 plus bought 40: 49+40=89. | addition_word |
4,209 | exponents | easy | What is 7^2? | 49 | 7^2 means multiply 7 by itself 2 times: 7*7 = 49. | exponents |
4,210 | arithmetic | easy | What is 22594 divided by 58? Give answer to 2 decimal places. | 389.55 | Calculate 22594/ 58 = 389.5517, rounded to 2 decimals is 389.55. | division |
4,211 | arithmetic | easy | What is 96 * 73? | 7008 | Multiply: 96 * 73 = 7008. | basic_operations |
4,212 | algebra | easy | Solve for x: 13x - 8 = 96 | 8 | Add 8 to both sides: 13x = 96+8=104. Then x = 104/13 = 8. | linear_equation |
4,213 | geometry | easy | Find the perimeter of a rectangle with length 19 and width 98. | 234 | Perimeter = 2*(length+width) = 2*(19+98) = 2*117 = 234. | rectangle_perim |
4,214 | fractions | medium | What is 3/14 + 9/14? Give as simplified fraction. | 6/7 | Common denominator 14*14=196. 3/14=42/196, 9/14=126/196. Sum = 168/196 = 6/7 simplified. | fraction_operations |
4,215 | arithmetic | easy | What is 46 + 311 * 2? Remember order of operations. | 668 | Order of operations (PEMDAS): first 311*2=622, then 46+622=668. | basic_operations |
4,216 | fractions | medium | What is 14/6 * 14/19? Give as simplified fraction. | 98/57 | Multiply numerators: 14*14=196. Denominators: 6*19=114. Simplify by gcd 2 to get 98/57. | fraction_operations |
4,217 | geometry | easy | Find the perimeter of a rectangle with length 1 and width 9. | 20 | Perimeter = 2*(length+width) = 2*(1+9) = 2*10 = 20. | rectangle_perim |
4,218 | algebra | medium | Solve for x: x^2 + 11x + 18 = 0 | x = -9, -2 | Factor: (x - -9)(x - -2) = x^2 -(-11)x + 18 = 0. So x = -9 or -2. Check sum = -11, product = 18. | quadratic |
4,219 | statistics | easy | What is the mean (average) of 29, 60, 22? | 37 | Mean = sum/count. Sum = 29+60+22=111. Count=3. Mean=111/3=37.0. | mean |
4,220 | statistics | easy | What is the mean (average) of 11, 86, 59? | 52 | Mean = sum/count. Sum = 11+86+59=156. Count=3. Mean=156/3=52.0. | mean |
4,221 | 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 |
4,222 | number_theory | medium | What is the LCM (least common multiple) of 61 and 34? | 2074 | LCM = |61*34| / GCD(61,34). GCD=1, so LCM=2074/1=2074. | lcm |
4,223 | roots | easy | What is the square root of 1156? | 34 | Find number that when squared gives 1156. 34*34=1156, so sqrt(1156)=34. | square_roots |
4,224 | algebra | easy | Solve for x: 19x + 16 = -41 | -3 | Subtract 16 from both sides: 19x = -41-16=-57. Then divide by 19: x = -57/19 = -3. | linear_equation |
4,225 | percentages | easy | What is 29% of 835? | 242.15 | Calculate 29/100 * 835 = 0.29*835 = 242.15. | percentages |
4,226 | arithmetic | easy | What is 495 - 445? | 50 | Subtract: 495 - 445 = 50. | basic_operations |
4,227 | exponents | easy | What is 9^5? | 59049 | 9^5 means multiply 9 by itself 5 times: 9*9*9*9*9 = 59049. | exponents |
4,228 | arithmetic | easy | What is 975 + 606 * 39? Remember order of operations. | 24609 | Order of operations (PEMDAS): first 606*39=23634, then 975+23634=24609. | basic_operations |
4,229 | algebra | easy | Solve for x: 18x - 22 = -130 | -6 | Add 22 to both sides: 18x = -130+22=-108. Then x = -108/18 = -6. | linear_equation |
4,230 | percentages | easy | What is 60% of 927? | 556.2 | Calculate 60/100 * 927 = 0.6*927 = 556.2. | percentages |
4,231 | algebra | easy | Solve for x: 4x + 39 = 95 | 14 | Subtract 39 from both sides: 4x = 95-39=56. Then divide by 4: x = 56/4 = 14. | linear_equation |
4,232 | number_theory | medium | What is the LCM (least common multiple) of 53 and 96? | 5088 | LCM = |53*96| / GCD(53,96). GCD=1, so LCM=5088/1=5088. | lcm |
4,233 | 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 |
4,234 | roots | easy | What is the square root of 400? | 20 | Find number that when squared gives 400. 20*20=400, so sqrt(400)=20. | square_roots |
4,235 | arithmetic | easy | What is 249 - 167? | 82 | Subtract: 249 - 167 = 82. | basic_operations |
4,236 | arithmetic | easy | What is 794 - 322? | 472 | Subtract: 794 - 322 = 472. | basic_operations |
4,237 | 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 |
4,238 | 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 |
4,239 | arithmetic | easy | What is 342 + 961? | 1303 | Add the two numbers: 342 + 961 = 1303. | basic_operations |
4,240 | statistics | easy | What is the mean (average) of 51, 76, 28, 52? | 51.75 | Mean = sum/count. Sum = 51+76+28+52=207. Count=4. Mean=207/4=51.75. | mean |
4,241 | 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 |
4,242 | percentages | easy | What is 37% of 250? | 92.5 | Calculate 37/100 * 250 = 0.37*250 = 92.5. | percentages |
4,243 | algebra | medium | Solve for x: x^2 + 5x = 0 | x = 0, -5 | Factor: (x - 0)(x - -5) = x^2 -(-5)x + 0 = 0. So x = 0 or -5. Check sum = -5, product = 0. | quadratic |
4,244 | roots | easy | What is the square root of 1444? | 38 | Find number that when squared gives 1444. 38*38=1444, so sqrt(1444)=38. | square_roots |
4,245 | calculus | medium | What is the derivative of 2x^8 with respect to x? | 16x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^8] = 2*8*x^7 = 16x^7. | derivative |
4,246 | arithmetic | easy | What is 516 / 12? | 43 | Divide: 516 ÷ 12 = 43 because 12*43=516. | division |
4,247 | 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 |
4,248 | arithmetic | easy | What is 20 + 7 * 90? Remember order of operations. | 650 | Order of operations (PEMDAS): first 7*90=630, then 20+630=650. | basic_operations |
4,249 | algebra | medium | Solve for x: x^2 + 15x + 54 = 0 | x = -9, -6 | Factor: (x - -9)(x - -6) = x^2 -(-15)x + 54 = 0. So x = -9 or -6. Check sum = -15, product = 54. | quadratic |
4,250 | exponents | easy | What is 7^4? | 2401 | 7^4 means multiply 7 by itself 4 times: 7*7*7*7 = 2401. | exponents |
4,251 | arithmetic | easy | What is 170 + 42 * 40? Remember order of operations. | 1850 | Order of operations (PEMDAS): first 42*40=1680, then 170+1680=1850. | basic_operations |
4,252 | arithmetic | easy | What is 41 + 630? | 671 | Add the two numbers: 41 + 630 = 671. | basic_operations |
4,253 | calculus | medium | What is the derivative of 8x^8 with respect to x? | 64x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^8] = 8*8*x^7 = 64x^7. | derivative |
4,254 | arithmetic | easy | What is 10944 / 36? | 304 | Divide: 10944 ÷ 36 = 304 because 36*304=10944. | division |
4,255 | exponents | easy | What is 4^2? | 16 | 4^2 means multiply 4 by itself 2 times: 4*4 = 16. | exponents |
4,256 | word_problems | easy | If you have 82 books and you buy 17 more books, how many books do you have in total? | 99 | Add initial 82 plus bought 17: 82+17=99. | addition_word |
4,257 | arithmetic | easy | What is 20215 / 65? | 311 | Divide: 20215 ÷ 65 = 311 because 65*311=20215. | division |
4,258 | arithmetic | easy | What is 21 * 89? | 1869 | Multiply: 21 * 89 = 1869. | basic_operations |
4,259 | word_problems | easy | If you have 50 dollars and you buy 33 more dollars, how many dollars do you have in total? | 83 | Add initial 50 plus bought 33: 50+33=83. | addition_word |
4,260 | exponents | easy | What is 12^5? | 248832 | 12^5 means multiply 12 by itself 5 times: 12*12*12*12*12 = 248832. | exponents |
4,261 | 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 |
4,262 | percentages | easy | What is 40% of 683? | 273.2 | Calculate 40/100 * 683 = 0.4*683 = 273.2. | percentages |
4,263 | 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 |
4,264 | percentages | easy | What is 60% of 153? | 91.8 | Calculate 60/100 * 153 = 0.6*153 = 91.8. | percentages |
4,265 | algebra | easy | Solve for x: 2x - 40 = -74 | -17 | Add 40 to both sides: 2x = -74+40=-34. Then x = -34/2 = -17. | linear_equation |
4,266 | arithmetic | easy | What is 1120 / 20? | 56 | Divide: 1120 ÷ 20 = 56 because 20*56=1120. | division |
4,267 | algebra | easy | Solve for x: 3x - 14 = -11 | 1 | Add 14 to both sides: 3x = -11+14=3. Then x = 3/3 = 1. | linear_equation |
4,268 | roots | easy | What is the square root of 1444? | 38 | Find number that when squared gives 1444. 38*38=1444, so sqrt(1444)=38. | square_roots |
4,269 | percentages | easy | What is 92% of 494? | 454.48 | Calculate 92/100 * 494 = 0.92*494 = 454.48. | percentages |
4,270 | 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 |
4,271 | arithmetic | easy | What is 28812 / 84? | 343 | Divide: 28812 ÷ 84 = 343 because 84*343=28812. | division |
4,272 | fractions | medium | What is 16/3 - 12/7? Give as simplified fraction. | 76/21 | Common denominator 21. Numerator 112-36=76. So 76/21 simplifies to 76/21. | fraction_operations |
4,273 | fractions | medium | What is 12/4 - 2/3? Give as simplified fraction. | 7/3 | Common denominator 12. Numerator 36-8=28. So 28/12 simplifies to 7/3. | fraction_operations |
4,274 | calculus | medium | What is the derivative of 8x^3 with respect to x? | 24x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^3] = 8*3*x^2 = 24x^2. | derivative |
4,275 | word_problems | easy | If you have 89 dollars and you buy 26 more dollars, how many dollars do you have in total? | 115 | Add initial 89 plus bought 26: 89+26=115. | addition_word |
4,276 | word_problems | easy | If you have 22 candies and you buy 21 more candies, how many candies do you have in total? | 43 | Add initial 22 plus bought 21: 22+21=43. | addition_word |
4,277 | roots | easy | What is the square root of 2401? | 49 | Find number that when squared gives 2401. 49*49=2401, so sqrt(2401)=49. | square_roots |
4,278 | 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 |
4,279 | geometry | easy | Find the circumference of a circle with radius 6. Use pi=3.14159, round to 2 decimals. | 37.7 | Circumference = 2*pi*r = 2*3.14159*6 = 37.7. | circle_circum |
4,280 | statistics | easy | What is the mean (average) of 19, 6, 18, 31? | 18.5 | Mean = sum/count. Sum = 19+6+18+31=74. Count=4. Mean=74/4=18.5. | mean |
4,281 | statistics | easy | What is the mean (average) of 26, 93, 24, 54? | 49.25 | Mean = sum/count. Sum = 26+93+24+54=197. Count=4. Mean=197/4=49.25. | mean |
4,282 | arithmetic | easy | What is 790 - 10? | 780 | Subtract: 790 - 10 = 780. | basic_operations |
4,283 | number_theory | medium | What is the GCD (greatest common divisor) of 44 and 1? | 1 | Find greatest number dividing both 44 and 1. Divisors common, greatest is 1. | gcd |
4,284 | statistics | easy | What is the mean (average) of 26, 28, 19, 43, 88? | 40.8 | Mean = sum/count. Sum = 26+28+19+43+88=204. Count=5. Mean=204/5=40.8. | mean |
4,285 | geometry | easy | Find the area of a triangle with base 51 and height 68. | 1734 | Area = 0.5*base*height = 0.5*51*68 = 1734. | triangle_area |
4,286 | fractions | medium | What is 14/3 * 15/20? Give as simplified fraction. | 7/2 | Multiply numerators: 14*15=210. Denominators: 3*20=60. Simplify by gcd 30 to get 7/2. | fraction_operations |
4,287 | exponents | easy | What is 10^5? | 100000 | 10^5 means multiply 10 by itself 5 times: 10*10*10*10*10 = 100000. | exponents |
4,288 | arithmetic | easy | What is 341 - 292? | 49 | Subtract: 341 - 292 = 49. | basic_operations |
4,289 | arithmetic | easy | What is 850 - 486? | 364 | Subtract: 850 - 486 = 364. | basic_operations |
4,290 | percentages | easy | What is 41% of 855? | 350.55 | Calculate 41/100 * 855 = 0.41*855 = 350.55. | percentages |
4,291 | percentages | easy | What is 58% of 272? | 157.76 | Calculate 58/100 * 272 = 0.58*272 = 157.76. | percentages |
4,292 | exponents | easy | What is 12^2? | 144 | 12^2 means multiply 12 by itself 2 times: 12*12 = 144. | exponents |
4,293 | percentages | easy | What is 86% of 927? | 797.22 | Calculate 86/100 * 927 = 0.86*927 = 797.22. | percentages |
4,294 | geometry | easy | Find the circumference of a circle with radius 17. Use pi=3.14159, round to 2 decimals. | 106.81 | Circumference = 2*pi*r = 2*3.14159*17 = 106.81. | circle_circum |
4,295 | arithmetic | easy | What is 544 + 235? | 779 | Add the two numbers: 544 + 235 = 779. | basic_operations |
4,296 | word_problems | easy | If you have 35 apples and you buy 26 more apples, how many apples do you have in total? | 61 | Add initial 35 plus bought 26: 35+26=61. | addition_word |
4,297 | 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 |
4,298 | arithmetic | easy | What is 70 + 54 * 36? Remember order of operations. | 2014 | Order of operations (PEMDAS): first 54*36=1944, then 70+1944=2014. | basic_operations |
4,299 | exponents | easy | What is 11^2? | 121 | 11^2 means multiply 11 by itself 2 times: 11*11 = 121. | exponents |
4,300 | statistics | easy | What is the mean (average) of 28, 69, 85, 71, 37? | 58 | Mean = sum/count. Sum = 28+69+85+71+37=290. Count=5. Mean=290/5=58.0. | mean |
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