text stringlengths 423 1.55k | input stringlengths 5 55 | output stringlengths 1 23 | topic stringclasses 5
values | difficulty int32 1 5 | steps int32 1 9 |
|---|---|---|---|---|---|
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(3, 3) * tan(45)) + 2) * tan(225). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(3, 3) = 1$
2. $tan(45) = 0.9999999999999999$... | ((log(3, 3) * tan(45)) + 2) * tan(225) | 2.999999999999999 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(50, 10) * 72) * tan(45)) + 45. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(50, 10) = 1.6989700043360185$
2. $tan(45) = 0.9... | ((log(50, 10) * 72) * tan(45)) + 45 | 3.414813067595782 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((80 - 13) + sin(30)) * 9. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(30) = 0.49999999999999994$
2. $80 - 13 = 67$
3. $67 + 0... | ((80 - 13) + sin(30)) * 9 | 607.5 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (61 - cot(135)) + 31. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(135) = -0.9999999999999998$
2. $61 - -0.9999999999999998 = 62$... | (61 - cot(135)) + 31 | 93 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(49) * tan(180)) / 97) + sin(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $tan(180) = -1.2246467991473532e... | ((sqrt(49) * tan(180)) / 97) + sin(0) | -1.4729428855724178e-18 | mixed | 4 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((14 + 84) - 87) / 64. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $14 + 84 = 98$
2. $98 - 87 = 11$
3. $11 / 64 = 0.171875$
4. $0... | ((14 + 84) - 87) / 64 | 0.004523026315789474 | arithmetic | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(216) + 72) + 53) * cot(315). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(216) = 5.999999999999999$
2. $cot(315) = -0.999... | ((cbrt(216) + 72) + 53) * cot(315) | -130.99999999999994 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 11 - sin(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(60) = 0.8660254037844386$
2. $11 - 0.8660254037844386 = 10.13397459621... | 11 - sin(60) | 10.13397459621556 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(360) - sin(0)) - 56) - 2**2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(360) = 1$
2. $sin(0) = 0$
3. $2**2 = 4$
4. $1... | ((sec(360) - sin(0)) - 56) - 2**2 | -2.0344827586206895 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((34 + 16) + 39) / sin(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $34 + 16 = 50$
3. $50 + 39 = 89$
4. $89 ... | ((34 + 16) + 39) / sin(90) | 89 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(44, 3) / 36) - log(39, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(44, 3) = 3.4445178457870527$
2. $log(39, 3) = 3.3347... | (log(44, 3) / 36) - log(39, 3) | -3.2390364682009296 | log | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 86 / 78. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $86 / 78 = 1.1025641025641026$
The answer is $1.1025641025641026$
3. Drafting th... | 86 / 78 | 1.1025641025641026 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 41 / 92. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $41 / 92 = 0.44565217391304346$
The answer is $0.44565217391304346$
3. Drafting ... | 41 / 92 | 0.44565217391304346 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((90 - sin(360)) + sqrt(64)) - sec(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(360) = -2.4492935982947064e-16$
2. $sqrt(64)... | ((90 - sin(360)) + sqrt(64)) - sec(30) | 2.1053325969917553 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(16) - log(22, 3)) + cos(180)) + cot(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $log(22, 3) = 2.813588... | ((sqrt(16) - log(22, 3)) + cos(180)) + cot(270) | 72.1864119077844 | mixed | 3 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((69 - 36) / 47) - 19. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $69 - 36 = 33$
2. $33 / 47 = 0.7021276595744681$
3. $0.702127659... | ((69 - 36) / 47) - 19 | -18.29787234042553 | arithmetic | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((14 + cos(0)) - 59) * sec(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $sec(180) = -1$
3. $sqrt(36) = 6$
4.... | ((14 + cos(0)) - 59) * sec(180) | 7.333333333333333 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(64) / 90) + 53) / 73. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $8 / 90 = 0.08888888888888889$
3. $0.088... | ((sqrt(64) / 90) + 53) / 73 | 0.7272450532724505 | power | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((13 * 99) - tan(360)) / cbrt(64). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(360) = -2.4492935982947064e-16$
2. $cbrt(64) = 3.... | ((13 * 99) - tan(360)) / cbrt(64) | 219.62854307586585 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(9) * log(20, 3)) / 46. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $log(20, 3) = 2.7268330278608417$
3. $3 *... | (sqrt(9) * log(20, 3)) / 46 | 0.1778369365996201 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((93 * 50) * sec(0)) - sec(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(0) = 1$
2. $sec(45) = 1.414213562373095$
3. $93 * ... | ((93 * 50) * sec(0)) - sec(45) | 4648.585786437627 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((37 + 12) + sqrt(16)) - 26. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $37 + 12 = 49$
3. $49 + 4 = 53$
4. $53... | ((37 + 12) + sqrt(16)) - 26 | 27 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((24 * 4**4) / sqrt(9)) * 15. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**4 = 256$
2. $sqrt(9) = 3$
3. $24 * 256 = 6144$
4. $... | ((24 * 4**4) / sqrt(9)) * 15 | 522240 | power | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((41 / sqrt(9)) + 70) + sin(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $sin(45) = 0.7071067811865476$
3. $41... | ((41 / sqrt(9)) + 70) + sin(45) | 84.37377344785322 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(18, 3) - cbrt(216)) * 67. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(18, 3) = 2.630929753571457$
2. $cbrt(216) = 5.9999999... | (log(18, 3) - cbrt(216)) * 67 | -225.72770651071232 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((65 * 5**3) + 95) * 43. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**3 = 125$
2. $65 * 125 = 8125$
3. $8125 + 95 = 8220$
4. $... | ((65 * 5**3) + 95) * 43 | 353361 | power | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(30) * 14. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(30) = 0.49999999999999994$
2. $0.49999999999999994 * 14 = 6.9999999999... | sin(30) * 14 | 6.999999999999999 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (3**2 / 62) * 4**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**2 = 9$
2. $4**3 = 64$
3. $9 / 62 = 0.14516129032258066$
4. $0... | (3**2 / 62) * 4**3 | 9.290322580645162 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((72 - 75) / 22) - 62. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $72 - 75 = -3$
2. $-3 / 22 = -0.13636363636363635$
3. $-0.136363... | ((72 - 75) / 22) - 62 | -0.806965761511216 | arithmetic | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (45 / sqrt(36)) - cot(315). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $cot(315) = -0.9999999999999996$
3. $45 /... | (45 / sqrt(36)) - cot(315) | 8.5 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(60) + 99) / 33. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(60) = 0.5000000000000001$
2. $0.5000000000000001 + 99 = 99.5$
... | (cos(60) + 99) / 33 | 3.015151515151515 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(90) / 69. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(90) = 6.123233995736766e-17$
2. $6.123233995736766e-17 / 69 = 8.874252... | cos(90) / 69 | 8.874252167734444e-19 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((68 - 87) - 42) * 11. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $68 - 87 = -19$
2. $-19 - 42 = -61$
3. $-61 * 11 = -671$
The a... | ((68 - 87) - 42) * 11 | -671 | arithmetic | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 11 * 3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $11 * 3 = 33$
The answer is $33$
3. Drafting the response: "Ответ на ваш запрос в... | 11 * 3 | 33 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(0) - 61) / sqrt(49)) / log(50, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $sqrt(49) = 7$
3. $log(50, 10... | ((sin(0) - 61) / sqrt(49)) / log(50, 10) | 2.8708419265522114 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 99 + 82. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $99 + 82 = 181$
The answer is $181$
3. Drafting the response: "Ответ на ваш запр... | 99 + 82 | 181 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(125) - 63) * 6) + 57. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(125) = 4.999999999999999$
2. $4.999999999999999 - 63 =... | ((cbrt(125) - 63) * 6) + 57 | -291 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(315) + 80) * 38) * 38. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(315) = -1.0000000000000004$
2. $-1.0000000000000004 + 8... | ((tan(315) + 80) * 38) * 38 | 114076 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 27 / 54. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $27 / 54 = 0.5$
The answer is $0.5$
3. Drafting the response: "Ответ на ваш запр... | 27 / 54 | 0.5 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((13 + 1) - 83) / 5. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $13 + 1 = 14$
2. $14 - 83 = -69$
3. $-69 / 5 = -13.8$
4. $-13.8 ... | ((13 + 1) - 83) / 5 | -0.17468354430379748 | arithmetic | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (65 * 53) + sqrt(4). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $65 * 53 = 3445$
3. $3445 + 2 = 3447$
The answe... | (65 * 53) + sqrt(4) | 3447 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((85 - 36) + sin(60)) * log(37, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(60) = 0.8660254037844386$
2. $log(37, 3) = 3.286... | ((85 - 36) + sin(60)) * log(37, 3) | 327.79921764973784 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (22 + 4) - 75. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $22 + 4 = 26$
2. $26 - 75 = -49$
The answer is $-49$
3. Drafting the res... | (22 + 4) - 75 | -49 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(100) - sqrt(100)) - 42. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $sqrt(100) = 10$
3. $10 - 10 = 0$
4... | (sqrt(100) - sqrt(100)) - 42 | -42 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((13 + 68) * sqrt(16)) / 17. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $13 + 68 = 81$
3. $81 * 4 = 324$
4. $3... | ((13 + 68) * sqrt(16)) / 17 | 19.058823529411764 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (73 / 7) * 10. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $73 / 7 = 10.428571428571429$
2. $10.428571428571429 * 10 = 104.2857142857... | (73 / 7) * 10 | 104.28571428571429 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (6 - 81) * 10. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6 - 81 = -75$
2. $-75 * 10 = -750$
The answer is $-750$
3. Drafting the... | (6 - 81) * 10 | -750 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((8 * 47) - log(48, 3)) - sec(240). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(48, 3) = 3.5237190142858297$
2. $sec(240) = -1.9... | ((8 * 47) - log(48, 3)) - sec(240) | 4493.71537182857 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((68 * 34) / log(3, 10)) * log(33, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(3, 10) = 0.47712125471966244$
2. $log(33, 2) ... | ((68 * 34) / log(3, 10)) * log(33, 2) | 24443.76369442868 | log | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(315) / 34) * cot(90)) / cot(225). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(315) = -1.0000000000000004$
2. $cot(90) = 6.... | ((tan(315) / 34) * cot(90)) / cot(225) | -1.800951175216696e-18 | trig | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((61 / 95) / 27) + 28. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $61 / 95 = 0.6421052631578947$
2. $0.6421052631578947 / 27 = 0.023... | ((61 / 95) / 27) + 28 | 53.02378167641325 | arithmetic | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (43 * 90) * 67. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $43 * 90 = 3870$
2. $3870 * 67 = 259290$
The answer is $259290$
3. Draf... | (43 * 90) * 67 | 259290 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((26 * 51) - 85) * sec(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(30) = 1.1547005383792515$
2. $26 * 51 = 1326$
3. $1326... | ((26 * 51) - 85) * sec(30) | 1432.9833681286511 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((86 + 66) + 86) - cos(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $86 + 66 = 152$
3. $152 + 86 = 238$
4... | ((86 + 66) + 86) - cos(180) | 307 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 1 + 69. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $1 + 69 = 70$
The answer is $70$
3. Drafting the response: "Ответ на ваш запрос в... | 1 + 69 | 70 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((61 + cbrt(216)) * cot(30)) / tan(225). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(216) = 5.999999999999999$
2. $cot(30) = 1.... | ((61 + cbrt(216)) * cot(30)) / tan(225) | 211.04740410711483 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(90) / 6**2) - 70) / sqrt(4). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $6**2 = 36$
3. $sqrt(4) = 2$
4. $... | ((sin(90) / 6**2) - 70) / sqrt(4) | -0.4428621659634318 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (96 + cos(60)) / csc(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(60) = 0.5000000000000001$
2. $csc(45) = 1.414213562373095$... | (96 + cos(60)) / csc(45) | 68.23580438450185 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((34 - 50) / 22) + 8. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $34 - 50 = -16$
2. $-16 / 22 = -0.7272727272727273$
3. $-0.727272... | ((34 - 50) / 22) + 8 | 7.2727272727272725 | arithmetic | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(240) * 38) * 59) - 23. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(240) = -1.9999999999999982$
2. $sqrt(9) = 3$
3. $-1.9... | ((sec(240) * 38) * 59) - 23 | -4509.999999999995 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((66 / 73) + log(9, 10)) / 87. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(9, 10) = 0.9542425094393249$
2. $cos(90) = 6.12323399... | ((66 / 73) + log(9, 10)) / 87 | 0.021360368948050875 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (67 / 49) * 39. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $67 / 49 = 1.3673469387755102$
2. $1.3673469387755102 * 39 = 53.326530612... | (67 / 49) * 39 | 53.326530612244895 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((99 - sqrt(25)) / 9) - sqrt(36). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $sqrt(36) = 6$
3. $99 - 5 = 94$
4... | ((99 - sqrt(25)) / 9) - sqrt(36) | 4.444444444444445 | power | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(31, 5) + 19. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(31, 5) = 2.133656214977323$
2. $2.133656214977323 + 19 = 21.1336562... | log(31, 5) + 19 | 21.13365621497732 | log | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((62 / sqrt(36)) + log(31, 3)) / 93. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $log(31, 3) = 3.1257498572570146$
... | ((62 / sqrt(36)) + log(31, 3)) / 93 | 0.14472132463000376 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(25) / 77) / 2) + cot(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $cot(45) = 1.0000000000000002$
3. $s... | ((sqrt(25) / 77) / 2) + cot(45) | 0.5162337662337665 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((68 - sqrt(25)) / 78) + 89. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $log(12, 5) = 1.5439593106327716$
3. $68... | ((68 - sqrt(25)) / 78) + 89 | 58.16713671740857 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((13 - sec(30)) / sec(120)) + 89. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(30) = 1.1547005383792515$
2. $sec(120) = -2.000000... | ((13 - sec(30)) / sec(120)) + 89 | 92.07735026918962 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((45 - sec(180)) + 27) + 70. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(180) = -1$
2. $45 - -1 = 46$
3. $46 + 27 = 73$
4. $... | ((45 - sec(180)) + 27) + 70 | 143 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(270) / 99) + 71) - 68. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $log(43, 5) = 2.336965027750064$
3. $-1... | ((sin(270) / 99) + 71) - 68 | 0.6529339621489254 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: tan(315) / 4**2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(315) = -1.0000000000000004$
2. $4**2 = 16$
3. $-1.000000000000000... | tan(315) / 4**2 | -0.06250000000000003 | mixed | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((89 - 77) / 17) * cot(225). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(225) = 1.0000000000000004$
2. $89 - 77 = 12$
3. $12 /... | ((89 - 77) / 17) * cot(225) | 0.7058823529411768 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((95 * cos(45)) - 24) / 20. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(45) = 0.7071067811865476$
2. $95 * 0.7071067811865476 = ... | ((95 * cos(45)) - 24) / 20 | 0.05834478947665138 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 82 - 61. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $82 - 61 = 21$
The answer is $21$
3. Drafting the response: "Ответ на ваш запрос... | 82 - 61 | 21 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((94 + sqrt(25)) / 10) + 63. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $94 + 5 = 99$
3. $99 / 10 = 9.9$
4. $9... | ((94 + sqrt(25)) / 10) + 63 | 102.9 | power | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((94 / 30) - 57) + 99. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $94 / 30 = 3.1333333333333333$
2. $3.1333333333333333 - 57 = -53.8... | ((94 / 30) - 57) + 99 | 45.13333333333333 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(49) / cbrt(27)) / log(30, 5)) / 96. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $cbrt(27) = 3$
3. $log(30,... | ((sqrt(49) / cbrt(27)) / log(30, 5)) / 96 | 0.011501326798848523 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(12, 3) - cos(180)) / log(2, 3)) * 2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(12, 3) = 2.2618595071429146$
2. $cos(180)... | ((log(12, 3) - cos(180)) / log(2, 3)) * 2 | 41.339850002884624 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(360) * 56) - sin(270)) - log(37, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(360) = 1$
2. $sin(270) = -1$
3. $log(37... | ((sec(360) * 56) - sin(270)) - log(37, 5) | 54.75641055504707 | mixed | 4 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((69 * 38) - 17) - 36. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $69 * 38 = 2622$
2. $2622 - 17 = 2605$
3. $2605 - 36 = 2569$
4... | ((69 * 38) - 17) - 36 | 51380 | arithmetic | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (6**4 + 41) + cos(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**4 = 1296$
2. $cos(270) = -1.8369701987210297e-16$
3. $1296 ... | (6**4 + 41) + cos(270) | 1337 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (57 - sec(30)) + cos(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(30) = 1.1547005383792515$
2. $cos(60) = 0.5000000000000001... | (57 - sec(30)) + cos(60) | 56.34529946162075 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(30) - 77) - 3**4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(30) = 0.8660254037844387$
2. $3**4 = 81$
3. $0.866025403784... | (cos(30) - 77) - 3**4 | -157.13397459621558 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(36) / 44. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $6 / 44 = 0.13636363636363635$
The answer is $0.136363... | sqrt(36) / 44 | 0.13636363636363635 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((49 / 23) + sqrt(49)) - 83. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $49 / 23 = 2.130434782608696$
3. $2.1304... | ((49 / 23) + sqrt(49)) - 83 | -73.86956521739131 | power | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(90) - sin(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $sin(270) = -1$
3. $1 - -1 = 2$
The answer is $2... | sin(90) - sin(270) | 2 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(360) * 100) - 87) + cos(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(360) = 1$
2. $cos(360) = 1$
3. $1 * 100 = 100$... | ((sec(360) * 100) - 87) + cos(360) | 14 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((73 + 91) + 49) + cos(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(45) = 0.7071067811865476$
2. $73 + 91 = 164$
3. $164 +... | ((73 + 91) + 49) + cos(45) | 2350.778174593052 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(315) * 47) * log(22, 5)) - 33. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(315) = -1.0000000000000004$
2. $log(22, 5) = 1.... | ((tan(315) * 47) * log(22, 5)) - 33 | -267.7976560604586 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((44 * sin(180)) / 57) / sqrt(4). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(180) = 1.2246467991473532e-16$
2. $sqrt(4) = 2$
... | ((44 * sin(180)) / 57) / sqrt(4) | 1.8906827776310015e-16 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 93 / cos(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(30) = 0.8660254037844387$
2. $93 / 0.8660254037844387 = 107.3871500692... | 93 / cos(30) | 107.38715006927039 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(21, 5) - 61) - 58. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(21, 5) = 1.8916681496081529$
2. $1.8916681496081529 - 61 = -... | (log(21, 5) - 61) - 58 | -117.10833185039185 | log | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 39 - 2**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**3 = 8$
2. $39 - 8 = 31$
The answer is $31$
3. Drafting the response: "От... | 39 - 2**3 | 31 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(8, 5) / csc(150)) * 74. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(8, 5) = 1.2920296742201791$
2. $csc(150) = 2.0000000000... | (log(8, 5) / csc(150)) * 74 | 47.80509794614662 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((2**2 * 4**4) + 95) - 52. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**2 = 4$
2. $4**4 = 256$
3. $tan(225) = 0.9999999999999997... | ((2**2 * 4**4) + 95) - 52 | 1066 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((35 + 88) + 74) + cbrt(64). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(64) = 3.9999999999999996$
2. $35 + 88 = 123$
3. $123... | ((35 + 88) + 74) + cbrt(64) | 201 | power | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(33, 5) / 85. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(33, 5) = 2.1725022968909635$
2. $2.1725022968909635 / 85 = 0.025558... | log(33, 5) / 85 | 0.025558850551658394 | log | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(48, 3) * log(40, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(48, 3) = 3.5237190142858297$
2. $log(40, 3) = 3.35776278143... | log(48, 3) * log(40, 3) | 11.831812558394267 | log | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cbrt(8) / 51. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $2 / 51 = 0.0392156862745098$
The answer is $0.039215686... | cbrt(8) / 51 | 0.0392156862745098 | power | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((53 / 31) + 23) + sqrt(36). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $53 / 31 = 1.7096774193548387$
3. $1.709... | ((53 / 31) + 23) + sqrt(36) | 30.70967741935484 | power | 1 | 4 |
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