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 |
|---|---|---|---|---|---|---|
7,201 | fractions | medium | What is 2/8 - 8/12? Give as simplified fraction. | -5/12 | Common denominator 96. Numerator 24-64=-40. So -40/96 simplifies to -5/12. | fraction_operations |
7,202 | fractions | medium | What is 13/8 + 1/4? Give as simplified fraction. | 15/8 | Common denominator 8*4=32. 13/8=52/32, 1/4=8/32. Sum = 60/32 = 15/8 simplified. | fraction_operations |
7,203 | arithmetic | easy | What is 740 + 39? | 779 | Add the two numbers: 740 + 39 = 779. | basic_operations |
7,204 | percentages | easy | What is 9% of 567? | 51.03 | Calculate 9/100 * 567 = 0.09*567 = 51.03. | percentages |
7,205 | word_problems | easy | If you have 71 apples and you buy 8 more apples, how many apples do you have in total? | 79 | Add initial 71 plus bought 8: 71+8=79. | addition_word |
7,206 | exponents | easy | What is 10^2? | 100 | 10^2 means multiply 10 by itself 2 times: 10*10 = 100. | exponents |
7,207 | algebra | medium | Solve for x: x^2 - 16x + 60 = 0 | x = 6, 10 | Factor: (x - 6)(x - 10) = x^2 -(16)x + 60 = 0. So x = 6 or 10. Check sum = 16, product = 60. | quadratic |
7,208 | percentages | easy | What is 43% of 716? | 307.88 | Calculate 43/100 * 716 = 0.43*716 = 307.88. | percentages |
7,209 | geometry | easy | Find the area of a rectangle with length 43 and width 70. | 3010 | Area = length * width = 43*70 = 3010. | rectangle_area |
7,210 | algebra | medium | Solve for x: x^2 - 81 = 0 | x = 9, -9 | Factor: (x - 9)(x - -9) = x^2 -(0)x + -81 = 0. So x = 9 or -9. Check sum = 0, product = -81. | quadratic |
7,211 | percentages | easy | What is 7% of 946? | 66.22 | Calculate 7/100 * 946 = 0.07*946 = 66.22. | percentages |
7,212 | geometry | easy | Find the perimeter of a rectangle with length 82 and width 57. | 278 | Perimeter = 2*(length+width) = 2*(82+57) = 2*139 = 278. | rectangle_perim |
7,213 | 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 |
7,214 | arithmetic | easy | What is 789 + 249 * 54? Remember order of operations. | 14235 | Order of operations (PEMDAS): first 249*54=13446, then 789+13446=14235. | basic_operations |
7,215 | arithmetic | easy | What is 525 + 808? | 1333 | Add the two numbers: 525 + 808 = 1333. | basic_operations |
7,216 | 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 |
7,217 | arithmetic | easy | What is 39 * 100? | 3900 | Multiply: 39 * 100 = 3900. | basic_operations |
7,218 | geometry | easy | Find the circumference of a circle with radius 1. Use pi=3.14159, round to 2 decimals. | 6.28 | Circumference = 2*pi*r = 2*3.14159*1 = 6.28. | circle_circum |
7,219 | number_theory | medium | What is the GCD (greatest common divisor) of 92 and 29? | 1 | Find greatest number dividing both 92 and 29. Divisors common, greatest is 1. | gcd |
7,220 | arithmetic | easy | What is 28 * 87? | 2436 | Multiply: 28 * 87 = 2436. | basic_operations |
7,221 | percentages | easy | What is 2% of 883? | 17.66 | Calculate 2/100 * 883 = 0.02*883 = 17.66. | percentages |
7,222 | 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 |
7,223 | fractions | medium | What is 20/16 - 20/18? Give as simplified fraction. | 5/36 | Common denominator 288. Numerator 360-320=40. So 40/288 simplifies to 5/36. | fraction_operations |
7,224 | algebra | easy | Solve for x: 4x + 21 = 89 | 17 | Subtract 21 from both sides: 4x = 89-21=68. Then divide by 4: x = 68/4 = 17. | linear_equation |
7,225 | arithmetic | easy | What is 15344 divided by 97? Give answer to 2 decimal places. | 158.19 | Calculate 15344/ 97 = 158.1856, rounded to 2 decimals is 158.19. | division |
7,226 | percentages | easy | What is 61% of 418? | 254.98 | Calculate 61/100 * 418 = 0.61*418 = 254.98. | percentages |
7,227 | number_theory | medium | What is the GCD (greatest common divisor) of 83 and 4? | 1 | Find greatest number dividing both 83 and 4. Divisors common, greatest is 1. | gcd |
7,228 | 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 |
7,229 | 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 |
7,230 | arithmetic | easy | What is 17080 divided by 67? Give answer to 2 decimal places. | 254.93 | Calculate 17080/ 67 = 254.9254, rounded to 2 decimals is 254.93. | division |
7,231 | algebra | easy | Solve for x: 17x + 19 = -100 | -7 | Subtract 19 from both sides: 17x = -100-19=-119. Then divide by 17: x = -119/17 = -7. | linear_equation |
7,232 | 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 |
7,233 | 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 |
7,234 | number_theory | medium | What is the LCM (least common multiple) of 4 and 12? | 12 | LCM = |4*12| / GCD(4,12). GCD=4, so LCM=48/4=12. | lcm |
7,235 | algebra | medium | Solve for x: x^2 - 6x + 8 = 0 | x = 4, 2 | Factor: (x - 4)(x - 2) = x^2 -(6)x + 8 = 0. So x = 4 or 2. Check sum = 6, product = 8. | quadratic |
7,236 | algebra | medium | Solve for x: x^2 - 3x - 40 = 0 | x = 8, -5 | Factor: (x - 8)(x - -5) = x^2 -(3)x + -40 = 0. So x = 8 or -5. Check sum = 3, product = -40. | quadratic |
7,237 | algebra | medium | Solve for x: x^2 - 6x + 9 = 0 | x = 3 | Factor as (x - 3)^2 = 0, so root is 3 (double root). Sum of roots = 6, product = 9. | quadratic |
7,238 | 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 |
7,239 | arithmetic | easy | What is 584 + 717? | 1301 | Add the two numbers: 584 + 717 = 1301. | basic_operations |
7,240 | calculus | medium | What is the derivative of 7x^2 with respect to x? | 14x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^2] = 7*2*x^1 = 14x. | derivative |
7,241 | 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 |
7,242 | 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 |
7,243 | arithmetic | easy | What is 31 * 41? | 1271 | Multiply: 31 * 41 = 1271. | basic_operations |
7,244 | arithmetic | easy | What is 3165 divided by 19? Give answer to 2 decimal places. | 166.58 | Calculate 3165/ 19 = 166.5789, rounded to 2 decimals is 166.58. | division |
7,245 | statistics | easy | What is the mean (average) of 20, 56, 42, 78? | 49 | Mean = sum/count. Sum = 20+56+42+78=196. Count=4. Mean=196/4=49.0. | mean |
7,246 | statistics | easy | What is the mean (average) of 38, 4, 71, 25? | 34.5 | Mean = sum/count. Sum = 38+4+71+25=138. Count=4. Mean=138/4=34.5. | mean |
7,247 | number_theory | medium | What is the GCD (greatest common divisor) of 95 and 69? | 1 | Find greatest number dividing both 95 and 69. Divisors common, greatest is 1. | gcd |
7,248 | 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 |
7,249 | arithmetic | easy | What is 941 + 728? | 1669 | Add the two numbers: 941 + 728 = 1669. | basic_operations |
7,250 | arithmetic | easy | What is 8619 / 51? | 169 | Divide: 8619 ÷ 51 = 169 because 51*169=8619. | division |
7,251 | arithmetic | easy | What is 46 * 51? | 2346 | Multiply: 46 * 51 = 2346. | basic_operations |
7,252 | arithmetic | easy | What is 548 + 546? | 1094 | Add the two numbers: 548 + 546 = 1094. | basic_operations |
7,253 | exponents | easy | What is 10^5? | 100000 | 10^5 means multiply 10 by itself 5 times: 10*10*10*10*10 = 100000. | exponents |
7,254 | arithmetic | easy | What is 894 - 58? | 836 | Subtract: 894 - 58 = 836. | basic_operations |
7,255 | arithmetic | easy | What is 736 + 618 * 24? Remember order of operations. | 15568 | Order of operations (PEMDAS): first 618*24=14832, then 736+14832=15568. | basic_operations |
7,256 | 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 |
7,257 | statistics | easy | What is the mean (average) of 82, 60, 7, 81? | 57.5 | Mean = sum/count. Sum = 82+60+7+81=230. Count=4. Mean=230/4=57.5. | mean |
7,258 | percentages | easy | What is 83% of 18? | 14.94 | Calculate 83/100 * 18 = 0.83*18 = 14.94. | percentages |
7,259 | algebra | easy | Solve for x: 19x - 25 = -386 | -19 | Add 25 to both sides: 19x = -386+25=-361. Then x = -361/19 = -19. | linear_equation |
7,260 | arithmetic | easy | What is 5625 / 15? | 375 | Divide: 5625 ÷ 15 = 375 because 15*375=5625. | division |
7,261 | arithmetic | easy | What is 660 - 66? | 594 | Subtract: 660 - 66 = 594. | basic_operations |
7,262 | arithmetic | easy | What is 97 * 3? | 291 | Multiply: 97 * 3 = 291. | basic_operations |
7,263 | number_theory | medium | What is the GCD (greatest common divisor) of 20 and 24? | 4 | Find greatest number dividing both 20 and 24. Divisors common, greatest is 4. | gcd |
7,264 | percentages | easy | What is 25% of 418? | 104.5 | Calculate 25/100 * 418 = 0.25*418 = 104.5. | percentages |
7,265 | fractions | medium | What is 4/19 + 1/14? Give as simplified fraction. | 75/266 | Common denominator 19*14=266. 4/19=56/266, 1/14=19/266. Sum = 75/266 = 75/266 simplified. | fraction_operations |
7,266 | arithmetic | easy | What is 26 * 3? | 78 | Multiply: 26 * 3 = 78. | basic_operations |
7,267 | geometry | easy | Find the perimeter of a rectangle with length 50 and width 84. | 268 | Perimeter = 2*(length+width) = 2*(50+84) = 2*134 = 268. | rectangle_perim |
7,268 | 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 |
7,269 | geometry | easy | Find the area of a triangle with base 58 and height 47. | 1363 | Area = 0.5*base*height = 0.5*58*47 = 1363. | triangle_area |
7,270 | percentages | easy | What is 61% of 968? | 590.48 | Calculate 61/100 * 968 = 0.61*968 = 590.48. | percentages |
7,271 | exponents | easy | What is 2^4? | 16 | 2^4 means multiply 2 by itself 4 times: 2*2*2*2 = 16. | exponents |
7,272 | statistics | easy | What is the mean (average) of 12, 83, 98, 36, 40? | 53.8 | Mean = sum/count. Sum = 12+83+98+36+40=269. Count=5. Mean=269/5=53.8. | mean |
7,273 | calculus | medium | What is the derivative of 10x^7 with respect to x? | 70x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^7] = 10*7*x^6 = 70x^6. | derivative |
7,274 | number_theory | medium | What is the LCM (least common multiple) of 53 and 87? | 4611 | LCM = |53*87| / GCD(53,87). GCD=1, so LCM=4611/1=4611. | lcm |
7,275 | geometry | easy | Find the area of a rectangle with length 93 and width 49. | 4557 | Area = length * width = 93*49 = 4557. | rectangle_area |
7,276 | statistics | easy | What is the mean (average) of 47, 83, 39? | 56.33 | Mean = sum/count. Sum = 47+83+39=169. Count=3. Mean=169/3=56.33. | mean |
7,277 | geometry | easy | Find the area of a circle with radius 15. Use pi=3.14159, round to 2 decimals. | 706.86 | Area = pi*r^2 = 3.14159*15^2 = 3.14159*225 = 706.86. | circle_area |
7,278 | geometry | easy | Find the area of a circle with radius 47. Use pi=3.14159, round to 2 decimals. | 6939.78 | Area = pi*r^2 = 3.14159*47^2 = 3.14159*2209 = 6939.78. | circle_area |
7,279 | arithmetic | easy | What is 390 - 288? | 102 | Subtract: 390 - 288 = 102. | basic_operations |
7,280 | 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 |
7,281 | fractions | medium | What is 9/18 * 7/11? Give as simplified fraction. | 7/22 | Multiply numerators: 9*7=63. Denominators: 18*11=198. Simplify by gcd 9 to get 7/22. | fraction_operations |
7,282 | percentages | easy | What is 85% of 963? | 818.55 | Calculate 85/100 * 963 = 0.85*963 = 818.55. | percentages |
7,283 | number_theory | medium | What is the LCM (least common multiple) of 84 and 71? | 5964 | LCM = |84*71| / GCD(84,71). GCD=1, so LCM=5964/1=5964. | lcm |
7,284 | algebra | medium | Solve for x: x^2 - 8x + 15 = 0 | x = 3, 5 | Factor: (x - 3)(x - 5) = x^2 -(8)x + 15 = 0. So x = 3 or 5. Check sum = 8, product = 15. | quadratic |
7,285 | fractions | medium | What is 14/14 - 10/18? Give as simplified fraction. | 4/9 | Common denominator 252. Numerator 252-140=112. So 112/252 simplifies to 4/9. | fraction_operations |
7,286 | percentages | easy | What is 20% of 31? | 6.2 | Calculate 20/100 * 31 = 0.2*31 = 6.2. | percentages |
7,287 | word_problems | easy | If you have 65 pencils and you buy 24 more pencils, how many pencils do you have in total? | 89 | Add initial 65 plus bought 24: 65+24=89. | addition_word |
7,288 | statistics | easy | What is the mean (average) of 66, 78, 38? | 60.67 | Mean = sum/count. Sum = 66+78+38=182. Count=3. Mean=182/3=60.67. | mean |
7,289 | percentages | easy | What is 21% of 792? | 166.32 | Calculate 21/100 * 792 = 0.21*792 = 166.32. | percentages |
7,290 | 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 |
7,291 | fractions | medium | What is 9/11 * 8/15? Give as simplified fraction. | 24/55 | Multiply numerators: 9*8=72. Denominators: 11*15=165. Simplify by gcd 3 to get 24/55. | fraction_operations |
7,292 | roots | easy | What is the square root of 1225? | 35 | Find number that when squared gives 1225. 35*35=1225, so sqrt(1225)=35. | square_roots |
7,293 | arithmetic | easy | What is 40 * 41? | 1640 | Multiply: 40 * 41 = 1640. | basic_operations |
7,294 | number_theory | medium | What is the GCD (greatest common divisor) of 93 and 5? | 1 | Find greatest number dividing both 93 and 5. Divisors common, greatest is 1. | gcd |
7,295 | geometry | easy | Find the circumference of a circle with radius 30. Use pi=3.14159, round to 2 decimals. | 188.5 | Circumference = 2*pi*r = 2*3.14159*30 = 188.5. | circle_circum |
7,296 | algebra | medium | Solve for x: x^2 + 19x + 90 = 0 | x = -10, -9 | Factor: (x - -10)(x - -9) = x^2 -(-19)x + 90 = 0. So x = -10 or -9. Check sum = -19, product = 90. | quadratic |
7,297 | word_problems | easy | If you have 30 books and you buy 18 more books, how many books do you have in total? | 48 | Add initial 30 plus bought 18: 30+18=48. | addition_word |
7,298 | fractions | medium | What is 19/3 + 15/16? Give as simplified fraction. | 349/48 | Common denominator 3*16=48. 19/3=304/48, 15/16=45/48. Sum = 349/48 = 349/48 simplified. | fraction_operations |
7,299 | statistics | easy | What is the mean (average) of 76, 41, 35? | 50.67 | Mean = sum/count. Sum = 76+41+35=152. Count=3. Mean=152/3=50.67. | mean |
7,300 | number_theory | medium | What is the GCD (greatest common divisor) of 86 and 81? | 1 | Find greatest number dividing both 86 and 81. Divisors common, greatest is 1. | gcd |
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