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 |
|---|---|---|---|---|---|---|
101 | arithmetic | easy | What is 22353 divided by 50? Give answer to 2 decimal places. | 447.06 | Calculate 22353/ 50 = 447.0600, rounded to 2 decimals is 447.06. | division |
102 | percentages | easy | What is 26% of 837? | 217.62 | Calculate 26/100 * 837 = 0.26*837 = 217.62. | percentages |
103 | word_problems | easy | If you have 49 books and you buy 20 more books, how many books do you have in total? | 69 | Add initial 49 plus bought 20: 49+20=69. | addition_word |
104 | percentages | easy | What is 4% of 676? | 27.04 | Calculate 4/100 * 676 = 0.04*676 = 27.04. | percentages |
105 | fractions | medium | What is 13/12 - 9/4? Give as simplified fraction. | -7/6 | Common denominator 48. Numerator 52-108=-56. So -56/48 simplifies to -7/6. | fraction_operations |
106 | number_theory | medium | What is the LCM (least common multiple) of 83 and 66? | 5478 | LCM = |83*66| / GCD(83,66). GCD=1, so LCM=5478/1=5478. | lcm |
107 | 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 |
108 | arithmetic | easy | What is 3220 / 35? | 92 | Divide: 3220 ÷ 35 = 92 because 35*92=3220. | division |
109 | arithmetic | easy | What is 17394 / 78? | 223 | Divide: 17394 ÷ 78 = 223 because 78*223=17394. | division |
110 | 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 |
111 | arithmetic | easy | What is 23511 / 51? | 461 | Divide: 23511 ÷ 51 = 461 because 51*461=23511. | division |
112 | geometry | easy | Find the area of a rectangle with length 91 and width 56. | 5096 | Area = length * width = 91*56 = 5096. | rectangle_area |
113 | arithmetic | easy | What is 93 * 95? | 8835 | Multiply: 93 * 95 = 8835. | basic_operations |
114 | fractions | medium | What is 12/15 * 3/12? Give as simplified fraction. | 1/5 | Multiply numerators: 12*3=36. Denominators: 15*12=180. Simplify by gcd 36 to get 1/5. | fraction_operations |
115 | roots | easy | What is the square root of 1849? | 43 | Find number that when squared gives 1849. 43*43=1849, so sqrt(1849)=43. | square_roots |
116 | arithmetic | easy | What is 43334 / 94? | 461 | Divide: 43334 ÷ 94 = 461 because 94*461=43334. | division |
117 | 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 |
118 | calculus | medium | What is the derivative of 5x^7 with respect to x? | 35x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^7] = 5*7*x^6 = 35x^6. | derivative |
119 | algebra | easy | Solve for x: 7x + 3 = 31 | 4 | Subtract 3 from both sides: 7x = 31-3=28. Then divide by 7: x = 28/7 = 4. | linear_equation |
120 | algebra | medium | Solve for x: x^2 - 17x + 72 = 0 | x = 9, 8 | Factor: (x - 9)(x - 8) = x^2 -(17)x + 72 = 0. So x = 9 or 8. Check sum = 17, product = 72. | quadratic |
121 | exponents | easy | What is 8^2? | 64 | 8^2 means multiply 8 by itself 2 times: 8*8 = 64. | exponents |
122 | exponents | easy | What is 6^3? | 216 | 6^3 means multiply 6 by itself 3 times: 6*6*6 = 216. | exponents |
123 | 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 |
124 | 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 |
125 | word_problems | easy | If you have 61 books and you buy 44 more books, how many books do you have in total? | 105 | Add initial 61 plus bought 44: 61+44=105. | addition_word |
126 | statistics | easy | What is the mean (average) of 22, 85, 11, 37, 66? | 44.2 | Mean = sum/count. Sum = 22+85+11+37+66=221. Count=5. Mean=221/5=44.2. | mean |
127 | roots | easy | What is the square root of 36? | 6 | Find number that when squared gives 36. 6*6=36, so sqrt(36)=6. | square_roots |
128 | percentages | easy | What is 87% of 318? | 276.66 | Calculate 87/100 * 318 = 0.87*318 = 276.66. | percentages |
129 | percentages | easy | What is 26% of 151? | 39.26 | Calculate 26/100 * 151 = 0.26*151 = 39.26. | percentages |
130 | arithmetic | easy | What is 99 * 10? | 990 | Multiply: 99 * 10 = 990. | basic_operations |
131 | fractions | medium | What is 13/17 + 13/9? Give as simplified fraction. | 338/153 | Common denominator 17*9=153. 13/17=117/153, 13/9=221/153. Sum = 338/153 = 338/153 simplified. | fraction_operations |
132 | arithmetic | easy | What is 915 + 769? | 1684 | Add the two numbers: 915 + 769 = 1684. | basic_operations |
133 | percentages | easy | What is 23% of 824? | 189.52 | Calculate 23/100 * 824 = 0.23*824 = 189.52. | percentages |
134 | word_problems | easy | If you have 11 books and you buy 36 more books, how many books do you have in total? | 47 | Add initial 11 plus bought 36: 11+36=47. | addition_word |
135 | arithmetic | easy | What is 4192 divided by 60? Give answer to 2 decimal places. | 69.87 | Calculate 4192/ 60 = 69.8667, rounded to 2 decimals is 69.87. | division |
136 | 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 |
137 | word_problems | easy | If you have 83 pencils and you buy 47 more pencils, how many pencils do you have in total? | 130 | Add initial 83 plus bought 47: 83+47=130. | addition_word |
138 | 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 |
139 | word_problems | easy | If you have 25 candies and you buy 48 more candies, how many candies do you have in total? | 73 | Add initial 25 plus bought 48: 25+48=73. | addition_word |
140 | word_problems | easy | If you have 38 books and you buy 49 more books, how many books do you have in total? | 87 | Add initial 38 plus bought 49: 38+49=87. | addition_word |
141 | geometry | easy | Find the area of a triangle with base 63 and height 81. | 2551.5 | Area = 0.5*base*height = 0.5*63*81 = 2551.5. | triangle_area |
142 | percentages | easy | What is 36% of 451? | 162.36 | Calculate 36/100 * 451 = 0.36*451 = 162.36. | percentages |
143 | arithmetic | easy | What is 731 - 293? | 438 | Subtract: 731 - 293 = 438. | basic_operations |
144 | arithmetic | easy | What is 155 - 142? | 13 | Subtract: 155 - 142 = 13. | basic_operations |
145 | fractions | medium | What is 3/15 * 14/12? Give as simplified fraction. | 7/30 | Multiply numerators: 3*14=42. Denominators: 15*12=180. Simplify by gcd 6 to get 7/30. | fraction_operations |
146 | word_problems | easy | If you have 58 books and you buy 4 more books, how many books do you have in total? | 62 | Add initial 58 plus bought 4: 58+4=62. | addition_word |
147 | 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 |
148 | arithmetic | easy | What is 49 + 62 * 98? Remember order of operations. | 6125 | Order of operations (PEMDAS): first 62*98=6076, then 49+6076=6125. | basic_operations |
149 | number_theory | medium | What is the LCM (least common multiple) of 39 and 97? | 3783 | LCM = |39*97| / GCD(39,97). GCD=1, so LCM=3783/1=3783. | lcm |
150 | 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 |
151 | percentages | easy | What is 63% of 225? | 141.75 | Calculate 63/100 * 225 = 0.63*225 = 141.75. | percentages |
152 | geometry | easy | Find the circumference of a circle with radius 32. Use pi=3.14159, round to 2 decimals. | 201.06 | Circumference = 2*pi*r = 2*3.14159*32 = 201.06. | circle_circum |
153 | arithmetic | easy | What is 52 + 93 * 86? Remember order of operations. | 8050 | Order of operations (PEMDAS): first 93*86=7998, then 52+7998=8050. | basic_operations |
154 | word_problems | easy | If you have 21 pencils and you buy 40 more pencils, how many pencils do you have in total? | 61 | Add initial 21 plus bought 40: 21+40=61. | addition_word |
155 | arithmetic | easy | What is 85 + 4 * 76? Remember order of operations. | 389 | Order of operations (PEMDAS): first 4*76=304, then 85+304=389. | basic_operations |
156 | 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 |
157 | word_problems | easy | If you have 28 dollars and you buy 4 more dollars, how many dollars do you have in total? | 32 | Add initial 28 plus bought 4: 28+4=32. | addition_word |
158 | calculus | medium | What is the derivative of 4x^4 with respect to x? | 16x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^4] = 4*4*x^3 = 16x^3. | derivative |
159 | word_problems | easy | If you have 46 candies and you buy 22 more candies, how many candies do you have in total? | 68 | Add initial 46 plus bought 22: 46+22=68. | addition_word |
160 | 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 |
161 | arithmetic | easy | What is 7 + 45 * 96? Remember order of operations. | 4327 | Order of operations (PEMDAS): first 45*96=4320, then 7+4320=4327. | basic_operations |
162 | arithmetic | easy | What is 800 + 981? | 1781 | Add the two numbers: 800 + 981 = 1781. | basic_operations |
163 | percentages | easy | What is 26% of 860? | 223.6 | Calculate 26/100 * 860 = 0.26*860 = 223.6. | percentages |
164 | arithmetic | easy | What is 637 + 157? | 794 | Add the two numbers: 637 + 157 = 794. | basic_operations |
165 | arithmetic | easy | What is 35992 divided by 74? Give answer to 2 decimal places. | 486.38 | Calculate 35992/ 74 = 486.3784, rounded to 2 decimals is 486.38. | division |
166 | geometry | easy | Find the area of a circle with radius 11. Use pi=3.14159, round to 2 decimals. | 380.13 | Area = pi*r^2 = 3.14159*11^2 = 3.14159*121 = 380.13. | circle_area |
167 | arithmetic | easy | What is 10868 / 22? | 494 | Divide: 10868 ÷ 22 = 494 because 22*494=10868. | division |
168 | arithmetic | easy | What is 49 * 51? | 2499 | Multiply: 49 * 51 = 2499. | basic_operations |
169 | fractions | medium | What is 3/20 * 8/5? Give as simplified fraction. | 6/25 | Multiply numerators: 3*8=24. Denominators: 20*5=100. Simplify by gcd 4 to get 6/25. | fraction_operations |
170 | exponents | easy | What is 12^2? | 144 | 12^2 means multiply 12 by itself 2 times: 12*12 = 144. | exponents |
171 | arithmetic | easy | What is 48 * 9? | 432 | Multiply: 48 * 9 = 432. | basic_operations |
172 | roots | easy | What is the square root of 1? | 1 | Find number that when squared gives 1. 1*1=1, so sqrt(1)=1. | square_roots |
173 | 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 |
174 | statistics | easy | What is the mean (average) of 56, 47, 82? | 61.67 | Mean = sum/count. Sum = 56+47+82=185. Count=3. Mean=185/3=61.67. | mean |
175 | word_problems | easy | If you have 95 candies and you buy 10 more candies, how many candies do you have in total? | 105 | Add initial 95 plus bought 10: 95+10=105. | addition_word |
176 | 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 |
177 | geometry | easy | Find the area of a triangle with base 69 and height 100. | 3450 | Area = 0.5*base*height = 0.5*69*100 = 3450. | triangle_area |
178 | statistics | easy | What is the mean (average) of 56, 94, 76, 35? | 65.25 | Mean = sum/count. Sum = 56+94+76+35=261. Count=4. Mean=261/4=65.25. | mean |
179 | 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 |
180 | arithmetic | easy | What is 286 + 903? | 1189 | Add the two numbers: 286 + 903 = 1189. | basic_operations |
181 | calculus | medium | What is the derivative of 1x^4 with respect to x? | 4x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^4] = 1*4*x^3 = 4x^3. | derivative |
182 | statistics | easy | What is the mean (average) of 24, 63, 28, 46? | 40.25 | Mean = sum/count. Sum = 24+63+28+46=161. Count=4. Mean=161/4=40.25. | mean |
183 | geometry | easy | Find the area of a circle with radius 18. Use pi=3.14159, round to 2 decimals. | 1017.88 | Area = pi*r^2 = 3.14159*18^2 = 3.14159*324 = 1017.88. | circle_area |
184 | geometry | easy | Find the area of a triangle with base 2 and height 67. | 67 | Area = 0.5*base*height = 0.5*2*67 = 67. | triangle_area |
185 | fractions | medium | What is 3/9 * 14/17? Give as simplified fraction. | 14/51 | Multiply numerators: 3*14=42. Denominators: 9*17=153. Simplify by gcd 3 to get 14/51. | fraction_operations |
186 | percentages | easy | What is 89% of 488? | 434.32 | Calculate 89/100 * 488 = 0.89*488 = 434.32. | percentages |
187 | statistics | easy | What is the mean (average) of 3, 12, 38, 29? | 20.5 | Mean = sum/count. Sum = 3+12+38+29=82. Count=4. Mean=82/4=20.5. | mean |
188 | calculus | medium | What is the derivative of 4x^7 with respect to x? | 28x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^7] = 4*7*x^6 = 28x^6. | derivative |
189 | exponents | easy | What is 12^4? | 20736 | 12^4 means multiply 12 by itself 4 times: 12*12*12*12 = 20736. | exponents |
190 | statistics | easy | What is the mean (average) of 68, 45, 55, 96, 71? | 67 | Mean = sum/count. Sum = 68+45+55+96+71=335. Count=5. Mean=335/5=67.0. | mean |
191 | roots | easy | What is the square root of 529? | 23 | Find number that when squared gives 529. 23*23=529, so sqrt(529)=23. | square_roots |
192 | word_problems | easy | If you have 39 dollars and you buy 20 more dollars, how many dollars do you have in total? | 59 | Add initial 39 plus bought 20: 39+20=59. | addition_word |
193 | percentages | easy | What is 16% of 739? | 118.24 | Calculate 16/100 * 739 = 0.16*739 = 118.24. | percentages |
194 | fractions | medium | What is 11/5 + 18/7? Give as simplified fraction. | 167/35 | Common denominator 5*7=35. 11/5=77/35, 18/7=90/35. Sum = 167/35 = 167/35 simplified. | fraction_operations |
195 | fractions | medium | What is 16/10 * 19/18? Give as simplified fraction. | 76/45 | Multiply numerators: 16*19=304. Denominators: 10*18=180. Simplify by gcd 4 to get 76/45. | fraction_operations |
196 | exponents | easy | What is 3^3? | 27 | 3^3 means multiply 3 by itself 3 times: 3*3*3 = 27. | exponents |
197 | exponents | easy | What is 5^4? | 625 | 5^4 means multiply 5 by itself 4 times: 5*5*5*5 = 625. | exponents |
198 | algebra | medium | Solve for x: x^2 + 11x + 10 = 0 | x = -1, -10 | Factor: (x - -1)(x - -10) = x^2 -(-11)x + 10 = 0. So x = -1 or -10. Check sum = -11, product = 10. | quadratic |
199 | algebra | easy | Solve for x: 9x - 45 = -198 | -17 | Add 45 to both sides: 9x = -198+45=-153. Then x = -153/9 = -17. | linear_equation |
200 | exponents | easy | What is 4^5? | 1024 | 4^5 means multiply 4 by itself 5 times: 4*4*4*4*4 = 1024. | exponents |
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