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: (83 / 28) * log(21, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(21, 2) = 4.392317422778761$
2. $83 / 28 = 2.9642857142857144... | (83 / 28) * log(21, 2) | 13.020083788951327 | log | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (79 * cos(90)) + 44. 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. $79 * 6.123233995736766e-17 = 4... | (79 * cos(90)) + 44 | 44.00000000000001 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 44 / log(25, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(25, 5) = 2$
2. $44 / 2 = 22$
The answer is $22$
3. Drafting the r... | 44 / log(25, 5) | 22 | log | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 89 - 48. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $89 - 48 = 41$
The answer is $41$
3. Drafting the response: "Ответ на ваш запрос... | 89 - 48 | 41 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((83 + 84) * sin(45)) / sqrt(25). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(45) = 0.7071067811865476$
2. $sqrt(25) = 5$
3. $... | ((83 + 84) * sin(45)) / sqrt(25) | 28.202328992351845 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((73 + 36) / 44) * 30. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(48, 2) = 5.584962500721157$
2. $73 + 36 = 109$
3. $109 / 44... | ((73 + 36) / 44) * 30 | 415.06425857632235 | log | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((9 - 98) / 87) + 90. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $9 - 98 = -89$
2. $-89 / 87 = -1.0229885057471264$
3. $-1.0229885... | ((9 - 98) / 87) + 90 | 88.97701149425288 | arithmetic | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((38 + 34) * 36) + sqrt(9). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $38 + 34 = 72$
3. $72 * 36 = 2592$
4. $2... | ((38 + 34) * 36) + sqrt(9) | 2595 | power | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 25 * 2**2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**2 = 4$
2. $25 * 4 = 100$
The answer is $100$
3. Drafting the response: "... | 25 * 2**2 | 100 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (61 / 28) * 8. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $61 / 28 = 2.1785714285714284$
2. $2.1785714285714284 * 8 = 17.42857142857... | (61 / 28) * 8 | 17.428571428571427 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(8, 10) * log(39, 10)) * 81) - sqrt(25). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(8, 10) = 0.9030899869919434$
2. $log(3... | ((log(8, 10) * log(39, 10)) * 81) - sqrt(25) | 108.38683573629511 | mixed | 2 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cbrt(27) / 88. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $3 / 88 = 0.03409090909090909$
The answer is $0.034090... | cbrt(27) / 88 | 0.03409090909090909 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(270) + sqrt(16). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $sqrt(16) = 4$
3. $-1 + 4 = 3$
The answer is ... | sin(270) + sqrt(16) | 3 | mixed | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(33, 10) / sin(45)) * 98) - 32. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(33, 10) = 1.5185139398778873$
2. $sin(45) = 0.7... | ((log(33, 10) / sin(45)) * 98) - 32 | 0 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((52 - 94) - 72) / sin(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(45) = 0.7071067811865476$
2. $52 - 94 = -42$
3. $-42 -... | ((52 - 94) - 72) / sin(45) | -161.22034611053283 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(45) / cbrt(216). 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. $cbrt(216) = 5.999999999999999$
... | cos(45) / cbrt(216) | 0.11785113019775795 | mixed | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 57 * 20. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $57 * 20 = 1140$
The answer is $1140$
3. Drafting the response: "Ответ на ваш за... | 57 * 20 | 1140 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 96 * cbrt(8). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $96 * 2 = 192$
The answer is $192$
3. Drafting the respo... | 96 * cbrt(8) | 192 | power | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((98 - 77) / sqrt(36)) * 91. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $98 - 77 = 21$
3. $21 / 6 = 3.5$
4. $3... | ((98 - 77) / sqrt(36)) * 91 | 290.5 | power | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((95 * 9) - 51) / sqrt(16). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $95 * 9 = 855$
3. $855 - 51 = 804$
4. $... | ((95 * 9) - 51) / sqrt(16) | 251 | power | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(8) + sin(30)) + 86) - 88. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $sin(30) = 0.49999999999999994$
3. $c... | ((cbrt(8) + sin(30)) + 86) - 88 | -5.499999999999999 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((4**2 / 56) + 92) - cot(135). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**2 = 16$
2. $cot(135) = -0.9999999999999998$
3. $16 /... | ((4**2 / 56) + 92) - cot(135) | 117.28571428571429 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 75 + sin(180). 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. $75 + 1.2246467991473532e-16 = 75$
... | 75 + sin(180) | 75 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (32 * 34) / 89. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $32 * 34 = 1088$
2. $1088 / 89 = 12.224719101123595$
The answer is $12.... | (32 * 34) / 89 | 12.224719101123595 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cot(135) + cot(225)) / 1. 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. $cot(225) = 1.000000000000... | (cot(135) + cot(225)) / 1 | 6.661338147750939e-16 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(22, 3) + sqrt(25)) * tan(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(22, 3) = 2.8135880922155954$
2. $sqrt(25) = 5$
3... | (log(22, 3) + sqrt(25)) * tan(0) | 0 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(81) - 20) - 91. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $9 - 20 = -11$
3. $-11 - 91 = -102$
The answe... | (sqrt(81) - 20) - 91 | -102 | power | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (24 + sec(120)) * 10. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(120) = -2.000000000000001$
2. $24 + -2.000000000000001 = 22$
... | (24 + sec(120)) * 10 | 220 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 6 * 69. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6 * 69 = 414$
The answer is $414$
3. Drafting the response: "Ответ на ваш запрос... | 6 * 69 | 414 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((53 * 72) + 1) * 70. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $53 * 72 = 3816$
2. $3816 + 1 = 3817$
3. $3817 * 70 = 267190$
T... | ((53 * 72) + 1) * 70 | 267190 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(36) * 2) / 99) - 78. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $6 * 2 = 12$
3. $12 / 99 = 0.121212121212... | ((sqrt(36) * 2) / 99) - 78 | -0.9497413155949741 | power | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(6, 10) + sqrt(16). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(6, 10) = 0.7781512503836435$
2. $sqrt(16) = 4$
3. $0.778151... | log(6, 10) + sqrt(16) | 4.778151250383644 | mixed | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((30 + 39) + 44) / 37. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $30 + 39 = 69$
2. $69 + 44 = 113$
3. $113 / 37 = 3.0540540540540... | ((30 + 39) + 44) / 37 | 3.054054054054054 | arithmetic | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(9) / 89) * sqrt(16)) * sin(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $sqrt(16) = 4$
3. $sin(30) = 0.... | ((sqrt(9) / 89) * sqrt(16)) * sin(30) | 0.06741573033707864 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((53 + sqrt(81)) + 58) / 67. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $53 + 9 = 62$
3. $62 + 58 = 120$
4. $1... | ((53 + sqrt(81)) + 58) / 67 | 1.791044776119403 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(81) / sin(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $sin(270) = -1$
3. $9 / -1 = -9$
The answer is... | sqrt(81) / sin(270) | -9 | mixed | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (47 / 48) / 84. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $47 / 48 = 0.9791666666666666$
2. $0.9791666666666666 / 84 = 0.0116567460... | (47 / 48) / 84 | 0.011656746031746032 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(135) / cot(60)) * 46. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(135) = -1.0000000000000002$
2. $cot(60) = 0.5773502691896... | (tan(135) / cot(60)) * 46 | -79.67433714816835 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (38 / 22) * 55. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $38 / 22 = 1.7272727272727273$
2. $1.7272727272727273 * 55 = 95$
The an... | (38 / 22) * 55 | 95 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (57 - 71) - 92. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $57 - 71 = -14$
2. $-14 - 92 = -106$
The answer is $-106$
3. Drafting t... | (57 - 71) - 92 | -106 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(16) + 98. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $4 + 98 = 102$
The answer is $102$
3. Drafting the res... | sqrt(16) + 98 | 102 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((17 / 49) * 6) * 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. $log(44, 2) = 5.459431618637... | ((17 / 49) * 6) * cos(45) | -3.9874950537183613 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((59 - cos(45)) + 47) * 63. 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. $log(28, 3) = 3.03310325630... | ((59 - cos(45)) + 47) * 63 | 20119.94568912434 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(0) + tan(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $tan(0) = 0$
3. $1 + 0 = 1$
The answer is $1$
3. Dra... | cos(0) + tan(0) | 1 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (44 - 72) + 2**2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**2 = 4$
2. $44 - 72 = -28$
3. $-28 + 4 = -24$
The answer is $-24... | (44 - 72) + 2**2 | -24 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((30 / cot(30)) * 87) / sin(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(30) = 1.7320508075688774$
2. $sin(90) = 1$
3. $30... | ((30 / cot(30)) * 87) / sin(90) | 1506.884202584923 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((56 + 34) / 19) / csc(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(90) = 1$
2. $56 + 34 = 90$
3. $90 / 19 = 4.73684210526... | ((56 + 34) / 19) / csc(90) | 4.7368421052631575 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(49) + sec(60)) + cbrt(8). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $sec(60) = 1.9999999999999996$
3. $cb... | (sqrt(49) + sec(60)) + cbrt(8) | 11 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(120) - 3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(120) = -2.000000000000001$
2. $-2.000000000000001 - 3 = -5.00000000000... | sec(120) - 3 | -5.000000000000001 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(34, 10) * 5**3) + 28. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(34, 10) = 1.5314789170422551$
2. $5**3 = 125$
3. $1.531... | (log(34, 10) * 5**3) + 28 | 219.43486463028188 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cot(270) / 72. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(270) = 1.83697019872103e-16$
2. $1.83697019872103e-16 / 72 = 2.551347... | cot(270) / 72 | 2.5513474982236528e-18 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 31 * 6. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $31 * 6 = 186$
The answer is $186$
3. Drafting the response: "Ответ на ваш запрос... | 31 * 6 | 186 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(49) * 28. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $7 * 28 = 196$
The answer is $196$
3. Drafting the res... | sqrt(49) * 28 | 196 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((92 - 45) + 2**4) - 9. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**4 = 16$
2. $92 - 45 = 47$
3. $47 + 16 = 63$
4. $63 - 9 = ... | ((92 - 45) + 2**4) - 9 | 2430 | power | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 99 - 81. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $99 - 81 = 18$
The answer is $18$
3. Drafting the response: "Ответ на ваш запрос... | 99 - 81 | 18 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 31 * csc(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(270) = -1$
2. $31 * -1 = -31$
The answer is $-31$
3. Drafting the r... | 31 * csc(270) | -31 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(315) - log(18, 5)) / 57) * 95. 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(18, 5) = 1.... | ((tan(315) - log(18, 5)) / 57) * 95 | -4.659814911742274 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((75 * sec(30)) * 8) / 2. 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. $sqrt(49) = 7$
3. $75 * 1.1... | ((75 * sec(30)) * 8) / 2 | 339.41016151377545 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(28, 10) + 47) / sin(270)) / 7. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(28, 10) = 1.447158031342219$
2. $sin(270) = -1$... | ((log(28, 10) + 47) / sin(270)) / 7 | -6.921022575906031 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 92 * tan(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(60) = 1.7320508075688767$
2. $92 * 1.7320508075688767 = 159.3486742963... | 92 * tan(60) | 159.34867429633667 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (69 + sqrt(9)) - log(17, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $log(17, 2) = 4.08746284125034$
3. $69 + ... | (69 + sqrt(9)) - log(17, 2) | 67.91253715874966 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 50 * 18. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $50 * 18 = 900$
The answer is $900$
3. Drafting the response: "Ответ на ваш запр... | 50 * 18 | 900 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sec(30) / sqrt(16)) * sin(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. $sqrt(16) = 4$
3. $si... | (sec(30) / sqrt(16)) * sin(60) | 0.24999999999999997 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((83 / 78) / 42) - 24. 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. $83 / 78 = 1.064102564102564$
... | ((83 / 78) / 42) - 24 | -24.68177100585077 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(225) - 2**2) * 66) / sin(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(225) = 0.9999999999999997$
2. $2**2 = 4$
3. $s... | ((tan(225) - 2**2) * 66) / sin(45) | -280.01428534987286 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 64 * log(6, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(6, 10) = 0.7781512503836435$
2. $64 * 0.7781512503836435 = 49.80168... | 64 * log(6, 10) | 49.801680024553185 | log | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(25) + tan(315)) - 43. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $tan(315) = -1.0000000000000004$
3. $5 + ... | (sqrt(25) + tan(315)) - 43 | -39 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (31 / sqrt(36)) - 67. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $31 / 6 = 5.166666666666667$
3. $5.166666666666... | (31 / sqrt(36)) - 67 | -61.833333333333336 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(4) + 13) / cbrt(125)) / sqrt(16). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $cbrt(125) = 4.999999999999999$... | ((sqrt(4) + 13) / cbrt(125)) / sqrt(16) | 0.7500000000000001 | power | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 95 / 86. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $95 / 86 = 1.1046511627906976$
The answer is $1.1046511627906976$
3. Drafting th... | 95 / 86 | 1.1046511627906976 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((51 / 47) + cbrt(64)) * sqrt(16). 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. $sqrt(16) = 4$
3.... | ((51 / 47) + cbrt(64)) * sqrt(16) | 20.340425531914892 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(240) + 89) - log(24, 2)) - 96. 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. $log(24, 2) = 4.... | ((sec(240) + 89) - log(24, 2)) - 96 | 27.169925001442298 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cot(45) + 17) * 40. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(45) = 1.0000000000000002$
2. $1.0000000000000002 + 17 = 18$
3... | (cot(45) + 17) * 40 | 720 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((91 - 6) - 1) - sqrt(25). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $91 - 6 = 85$
3. $85 - 1 = 84$
4. $84 - ... | ((91 - 6) - 1) - sqrt(25) | 1.8372093023255813 | power | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(8) - 14) / 6**2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $6**2 = 36$
3. $2 - 14 = -12$
4. $-12 / 36 = ... | (cbrt(8) - 14) / 6**2 | -0.3333333333333333 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((59 + 24) / cos(45)) + 53. 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. $59 + 24 = 83$
3. $83 / 0... | ((59 + 24) / cos(45)) + 53 | 163.37972567696687 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (98 - 31) - 84. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $98 - 31 = 67$
2. $67 - 84 = -17$
The answer is $-17$
3. Drafting the r... | (98 - 31) - 84 | -17 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((21 - cot(45)) + cos(270)) - 84. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(45) = 1.0000000000000002$
2. $cos(270) = -1.836970... | ((21 - cot(45)) + cos(270)) - 84 | -64 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 4**2 - cos(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**2 = 16$
2. $cos(180) = -1$
3. $16 - -1 = 17$
The answer is $17$
... | 4**2 - cos(180) | 17 | mixed | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((15 * log(12, 5)) + tan(360)) - 7. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(12, 5) = 1.5439593106327716$
2. $tan(360) = -2.4... | ((15 * log(12, 5)) + tan(360)) - 7 | -81.84061034050842 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (87 * 85) * log(8, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(8, 10) = 0.9030899869919434$
2. $87 * 85 = 7395$
3. $7395 ... | (87 * 85) * log(8, 10) | 6678.350453805421 | log | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(0) * sqrt(36)) * 25. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(0) = 0$
2. $sqrt(36) = 6$
3. $0 * 6 = 0$
4. $0 * 25 = ... | (tan(0) * sqrt(36)) * 25 | 0 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (40 - 15) + 5**4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**4 = 625$
2. $40 - 15 = 25$
3. $25 + 625 = 650$
The answer is $6... | (40 - 15) + 5**4 | 650 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (45 + log(18, 2)) / 84. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(18, 2) = 4.169925001442312$
2. $45 + 4.169925001442312 = 49.... | (45 + log(18, 2)) / 84 | 0.5853562500171703 | log | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((54 - 56) - cos(60)) * 69. 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. $cos(30) = 0.86602540378443... | ((54 - 56) - cos(60)) * 69 | -199.18584287042088 | trig | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (70 * 57) + log(30, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(30, 2) = 4.906890595608519$
2. $70 * 57 = 3990$
3. $3990 +... | (70 * 57) + log(30, 2) | 3994.9068905956087 | log | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (6**4 + 25) + sin(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**4 = 1296$
2. $sin(60) = 0.8660254037844386$
3. $1296 + 25 = ... | (6**4 + 25) + sin(60) | 1321.8660254037845 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(45) * 61) / 73) - 99. 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. $0.7071067811865476 * 61 = ... | ((cos(45) * 61) / 73) - 99 | -48.40912994996741 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(39, 5) * 74) * 17) / 22. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(39, 5) = 2.276298835653068$
2. $2.276298835653068 * 7... | ((log(39, 5) * 74) * 17) / 22 | 130.16290614779817 | log | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(0) * cos(90)) / 33. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $cos(90) = 6.123233995736766e-17$
3. $1 * 6.12... | (cos(0) * cos(90)) / 33 | 1.8555254532535654e-18 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(45) + sin(0)) - sqrt(49). 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. $sin(0) = 0$
3. $sqrt(... | (cos(45) + sin(0)) - sqrt(49) | -6.292893218813452 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(240) + 93. 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. $-1.9999999999999982 + 93 = 91$
The ... | sec(240) + 93 | 91 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(45) + log(41, 2)) / 97) + cos(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(45) = 1.414213562373095$
2. $log(41, 2) = ... | ((sec(45) + log(41, 2)) / 97) + cos(360) | 1.0698120161545481 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((27 / sqrt(81)) * 16) * 11. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $27 / 9 = 3$
3. $3 * 16 = 48$
4. $48 *... | ((27 / sqrt(81)) * 16) * 11 | 539 | power | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((66 * sin(30)) - 84) - 31. 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. $66 * 0.49999999999999994 ... | ((66 * sin(30)) - 84) - 31 | -82 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(135) / 3**2) * sin(180)) * 16. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(135) = -1.0000000000000002$
2. $3**2 = 9$
3. ... | ((tan(135) / 3**2) * sin(180)) * 16 | -3 | mixed | 5 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((54 / 20) / 78) - 30. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $54 / 20 = 2.7$
2. $2.7 / 78 = 0.03461538461538462$
3. $0.034615... | ((54 / 20) / 78) - 30 | -29.965384615384615 | arithmetic | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((17 + 31) * sqrt(16)) * log(11, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $log(11, 3) = 2.182658338644138$
... | ((17 + 31) * sqrt(16)) * log(11, 3) | 419.0704010196745 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((56 * log(43, 5)) * csc(30)) - 33. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(43, 5) = 2.336965027750064$
2. $csc(30) = 2.0000... | ((56 * log(43, 5)) * csc(30)) - 33 | 686.2202493240218 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (csc(270) - sec(120)) * 89. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(270) = -1$
2. $sec(120) = -2.000000000000001$
3. $-1 -... | (csc(270) - sec(120)) * 89 | 89.00000000000009 | trig | 1 | 4 |
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