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: (1 - 24) * cos(60). 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. $1 - 24 = -23$
3. $-23 * 0.500000... | (1 - 24) * cos(60) | -11.500000000000002 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((54 + sqrt(64)) * 12) / 52. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $sec(180) = -1$
3. $54 + 8 = 62$
4. $6... | ((54 + sqrt(64)) * 12) / 52 | 15.307692307692308 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(4) * log(21, 2)) * 31) - 78. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $log(21, 2) = 4.392317422778761$
3... | ((sqrt(4) * log(21, 2)) * 31) - 78 | 168.2892436207206 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(45) - cos(0). 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. $cos(0) = 1$
3. $0.7071067811865476... | sin(45) - cos(0) | -0.2928932188134524 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(270) + cos(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $cos(0) = 1$
3. $-1 + 1 = 0$
The answer is $0$
... | sin(270) + cos(0) | 0 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (84 + log(10, 10)) / cos(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(10, 10) = 1$
2. $cos(60) = 0.5000000000000001$
3. $8... | (84 + log(10, 10)) / cos(60) | 169.99999999999997 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(64) + cot(225)) * 10. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $cot(225) = 1.0000000000000004$
3. $8 + 1... | (sqrt(64) + cot(225)) * 10 | 90 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (2**2 / 100) - sin(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**2 = 4$
2. $sin(180) = 1.2246467991473532e-16$
3. $4 / 100 ... | (2**2 / 100) - sin(180) | 0.039999999999999876 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((42 + 69) / 65) + 81. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $42 + 69 = 111$
2. $111 / 65 = 1.7076923076923076$
3. $1.7076923... | ((42 + 69) / 65) + 81 | 82.70769230769231 | arithmetic | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((94 / log(37, 2)) - 45) + tan(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(37, 2) = 5.20945336562895$
2. $tan(30) = 0.57735... | ((94 / log(37, 2)) - 45) + tan(30) | -26.37853005019372 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: csc(270) * 100. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(270) = -1$
2. $-1 * 100 = -100$
The answer is $-100$
3. Drafting t... | csc(270) * 100 | -100 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(36) + 54) / sin(30)) - 25. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $sin(30) = 0.49999999999999994$
3. ... | ((sqrt(36) + 54) / sin(30)) - 25 | 95.00000000000001 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 75 * 3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $75 * 3 = 225$
The answer is $225$
3. Drafting the response: "Ответ на ваш запрос... | 75 * 3 | 225 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(81) + 46. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $9 + 46 = 55$
The answer is $55$
3. Drafting the respo... | sqrt(81) + 46 | 55 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((46 - log(35, 3)) / 67) + 59. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(35, 3) = 3.236217269879349$
2. $46 - 3.23621726987934... | ((46 - log(35, 3)) / 67) + 59 | 5128.890825593887 | log | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (22 + sqrt(64)) * csc(210). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $csc(210) = -1.9999999999999996$
3. $22 +... | (22 + sqrt(64)) * csc(210) | -59.999999999999986 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((83 * cbrt(64)) + 48) + sin(30). 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. $sin(30) = 0.4999999... | ((83 * cbrt(64)) + 48) + sin(30) | 379.49999999999994 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(36, 10) * cot(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(36, 10) = 1.556302500767287$
2. $cot(270) = 1.83697019872103... | log(36, 10) * cot(270) | 2.8588813141045193e-16 | mixed | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(90) - 61) - cos(30)) - cos(30). 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. $cos(30) = 0.8... | ((cos(90) - 61) - cos(30)) - cos(30) | -62.73205080756888 | trig | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(27) / cot(30)) * sqrt(4)) * cbrt(125). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $cot(30) = 1.732050807568... | ((cbrt(27) / cot(30)) * sqrt(4)) * cbrt(125) | 17.320508075688767 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((70 / 1) - csc(30)) + cbrt(216). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(30) = 2.0000000000000004$
2. $cbrt(216) = 5.999999... | ((70 / 1) - csc(30)) + cbrt(216) | 6.7272727272727275 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((21 * 83) * 14) - 1. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $21 * 83 = 1743$
2. $1743 * 14 = 24402$
3. $24402 - 1 = 24401$
... | ((21 * 83) * 14) - 1 | 24401 | arithmetic | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(31, 2) / sqrt(36)) * 36. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(31, 2) = 4.954196310386876$
2. $sqrt(36) = 6$
3. $4.... | (log(31, 2) / sqrt(36)) * 36 | 29.725177862321253 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(0) * cos(90)) * 39. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(0) = 0$
2. $cos(90) = 6.123233995736766e-17$
3. $0 * 6.12... | (tan(0) * cos(90)) * 39 | 0 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (18 - 97) + 7. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $18 - 97 = -79$
2. $-79 + 7 = -72$
The answer is $-72$
3. Drafting the r... | (18 - 97) + 7 | -72 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 29 / 12. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $29 / 12 = 2.4166666666666665$
The answer is $2.4166666666666665$
3. Drafting th... | 29 / 12 | 2.4166666666666665 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (26 + 49) * 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. $26 + 49 = 75$
3. $75 * 4 = 300$
The answer is $300$
... | (26 + 49) * 2**2 | 300 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 36 + 88. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $36 + 88 = 124$
The answer is $124$
3. Drafting the response: "Ответ на ваш запр... | 36 + 88 | 124 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((84 / 47) - 73) - csc(210). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(210) = -1.9999999999999996$
2. $sec(45) = 1.41421356237... | ((84 / 47) - 73) - csc(210) | -67.79855239507371 | trig | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(240) / log(47, 5)) + 54) - 27. 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(47, 5) = 2.... | ((sec(240) / log(47, 5)) + 54) - 27 | 26.163960409351965 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(49) - tan(360)) + 38. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $tan(360) = -2.4492935982947064e-16$
3. $... | (sqrt(49) - tan(360)) + 38 | 45 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((86 / 80) * cos(45)) * log(49, 5). 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(49, 5) = 2.418... | ((86 / 80) * cos(45)) * log(49, 5) | 1.8381122007843322 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((28 / 94) - 22) + 12. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $28 / 94 = 0.2978723404255319$
2. $0.2978723404255319 - 22 = -21.7... | ((28 / 94) - 22) + 12 | -9.702127659574469 | arithmetic | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(180) / 25. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(180) = -1$
2. $-1 / 25 = -0.04$
The answer is $-0.04$
3. Drafting t... | sec(180) / 25 | -0.04 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (96 * cbrt(125)) - 3**2. 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. $3**2 = 9$
3. $96 * 4.99999... | (96 * cbrt(125)) - 3**2 | 470.9999999999999 | power | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (62 / 22) / 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. $62 / 22 = 2.8181818181818183$
3. $2.8181818181... | (62 / 22) / sqrt(36) | 0.4696969696969697 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (59 - tan(225)) + 71. 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. $59 - 0.9999999999999997 = 58$
... | (59 - tan(225)) + 71 | 129 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(45) / 19. 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. $0.7071067811865476 / 19 = 0.037216146378... | sin(45) / 19 | 0.03721614637823935 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(90) + 58) / cos(45)) + 2**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(90) = 1$
2. $cos(45) = 0.7071067811865476$
3. $... | ((csc(90) + 58) / cos(45)) + 2**3 | 91.4386001800126 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(90) / 88) * 12. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $1 / 88 = 0.011363636363636364$
3. $0.01136363636... | (sin(90) / 88) * 12 | 0.13636363636363635 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 44 + 33. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $44 + 33 = 77$
The answer is $77$
3. Drafting the response: "Ответ на ваш запрос... | 44 + 33 | 77 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 59 + 84. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $59 + 84 = 143$
The answer is $143$
3. Drafting the response: "Ответ на ваш запр... | 59 + 84 | 143 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(360) - 2**3) + 95. 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. $2**3 = 8$
3. $-2.44929... | (sin(360) - 2**3) + 95 | 87 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 38 / cos(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $38 / 1 = 38$
The answer is $38$
3. Drafting the respo... | 38 / cos(360) | 38 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(270) + sin(270)) * 55) / 38. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(270) = -1.8369701987210297e-16$
2. $sin(270) = -1... | ((cos(270) + sin(270)) * 55) / 38 | -0.023344651952461805 | trig | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 53 / 47. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $53 / 47 = 1.127659574468085$
The answer is $1.127659574468085$
3. Drafting the ... | 53 / 47 | 1.127659574468085 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((41 * 76) / 6**2) - sec(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**2 = 36$
2. $sec(45) = 1.414213562373095$
3. $41 * 76 ... | ((41 * 76) / 6**2) - sec(45) | 85.14134199318246 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(360) / 5**2) / cos(60)) / sqrt(100). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $5**2 = 25$
3. $cos(60) = ... | ((cos(360) / 5**2) / cos(60)) / sqrt(100) | 0.007999999999999998 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((3 + 30) + 24) + 94. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3 + 30 = 33$
2. $33 + 24 = 57$
3. $57 + 94 = 151$
The answer i... | ((3 + 30) + 24) + 94 | 151 | arithmetic | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sec(360) * 12) + 55. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(360) = 1$
2. $1 * 12 = 12$
3. $12 + 55 = 67$
The answer is... | (sec(360) * 12) + 55 | 67 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(37, 10) + 97) - 21) * 41. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(37, 10) = 1.5682017240669948$
2. $1.5682017240669948... | ((log(37, 10) + 97) - 21) * 41 | 3263.296270686747 | log | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((58 + 80) - 32) - 50. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $58 + 80 = 138$
2. $138 - 32 = 106$
3. $106 - 50 = 56$
The ans... | ((58 + 80) - 32) - 50 | 56 | arithmetic | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(10, 5) / 98) / sqrt(36)) + 46. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(10, 5) = 1.4306765580733933$
2. $sqrt(36) = 6$
... | ((log(10, 5) / 98) / sqrt(36)) + 46 | 46.002433123398085 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(64) / 27) + tan(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $tan(30) = 0.5773502691896257$
3. $8 / 27 ... | (sqrt(64) / 27) + tan(30) | 0.873646565485922 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(0) + 4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(0) = 1$
2. $1 + 4 = 5$
The answer is $5$
3. Drafting the response: "От... | sec(0) + 4 | 5 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (75 - 23) / 51. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $75 - 23 = 52$
2. $52 / 51 = 1.0196078431372548$
The answer is $1.01960... | (75 - 23) / 51 | 1.0196078431372548 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 85 * cos(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $85 * 1 = 85$
The answer is $85$
3. Drafting the respo... | 85 * cos(360) | 85 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 4 - 41. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4 - 41 = -37$
The answer is $-37$
3. Drafting the response: "Ответ на ваш запрос... | 4 - 41 | -37 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sec(240) + sqrt(4)) * sec(60). 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. $sqrt(4) = 2$
3. $s... | (sec(240) + sqrt(4)) * sec(60) | 3.5527136788005e-15 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(30) - cos(0)) - tan(30)) * 14. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(30) = 2.0000000000000004$
2. $cos(0) = 1$
3. ... | ((csc(30) - cos(0)) - tan(30)) * 14 | 5.917096231345246 | trig | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((37 + 51) / log(26, 10)) - log(38, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(26, 10) = 1.414973347970818$
2. $log(38, 2) ... | ((37 + 51) / log(26, 10)) - log(38, 2) | 36.94405661558532 | log | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 26 + sqrt(64). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $26 + 8 = 34$
The answer is $34$
3. Drafting the respo... | 26 + sqrt(64) | 34 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (61 + 80) / 68. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $61 + 80 = 141$
2. $141 / 68 = 2.073529411764706$
The answer is $2.0735... | (61 + 80) / 68 | 2.073529411764706 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(25) + 49) / log(26, 3)) - log(15, 10). 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(26, 3) = 2.965647273... | ((sqrt(25) + 49) / log(26, 3)) - log(15, 10) | 17.032412662103074 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(90) - 77) - 6) / 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. $6.123233995736766e-17 - ... | ((cos(90) - 77) - 6) / 44 | -1.8863636363636365 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (70 - 63) * 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. $70 - 63 = 7$
3. $7 * 625 = 4375$
The answer is $43... | (70 - 63) * 5**4 | 4375 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((13 - 52) - cbrt(216)) + 7. 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. $13 - 52 = -39$
3. $-39... | ((13 - 52) - cbrt(216)) + 7 | -38 | power | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((47 * 68) / cos(30)) * 41. 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. $47 * 68 = 3196$
3. $3196... | ((47 * 68) / cos(30)) * 41 | 12709816.538753342 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (17 - 20) - 37. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $17 - 20 = -3$
2. $-3 - 37 = -40$
The answer is $-40$
3. Drafting the r... | (17 - 20) - 37 | -40 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(50, 2) * 77) + 34. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(50, 2) = 5.643856189774724$
2. $5.643856189774724 * 77 = 434... | (log(50, 2) * 77) + 34 | 468.5769266126538 | log | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(0) * sin(180)) * 5. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $sin(180) = 1.2246467991473532e-16$
3. $1 * 1.... | (cos(0) * sin(180)) * 5 | 6.123233995736766e-16 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((27 / sin(45)) / sqrt(9)) * 57. 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. $sqrt(9) = 3$
3. $co... | ((27 / sin(45)) / sqrt(9)) * 57 | 1.332706370546424e-13 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(0) - sin(360)) + 21. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $sin(360) = -2.4492935982947064e-16$
3. $1 - ... | (cos(0) - sin(360)) + 21 | 22 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 20 - 74. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $20 - 74 = -54$
The answer is $-54$
3. Drafting the response: "Ответ на ваш запр... | 20 - 74 | -54 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cbrt(125) / cos(45). 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. $cos(45) = 0.7071067811865476$
... | cbrt(125) / cos(45) | 7.071067811865474 | mixed | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (68 + 58) - 45. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $68 + 58 = 126$
2. $126 - 45 = 81$
The answer is $81$
3. Drafting the r... | (68 + 58) - 45 | 81 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((81 - tan(180)) + sqrt(64)) / 44. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(180) = -1.2246467991473532e-16$
2. $sqrt(64) = 8$... | ((81 - tan(180)) + sqrt(64)) / 44 | 2.022727272727273 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (78 / 16) - 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. $78 / 16 = 4.875$
3. $4.875 - 1 = 3.875$
The an... | (78 / 16) - sin(90) | 3.875 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(30) - 40) - 19) + log(40, 3). 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. $log(40, 3) = 3.35... | ((sin(30) - 40) - 19) + log(40, 3) | -55.1422372185677 | mixed | 3 | 5 |
<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 | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 2**2 / 42. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**2 = 4$
2. $4 / 42 = 0.09523809523809523$
The answer is $0.09523809523809... | 2**2 / 42 | 0.09523809523809523 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((74 / 51) / 2) * 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. $74 / 51 = 1.450980392156862... | ((74 / 51) / 2) * sin(45) | 31.51299903733142 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(45) / log(21, 5)) / 68) / 65. 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. $log(21, 5) = 1.891... | ((sin(45) / log(21, 5)) / 68) / 65 | -1.464888950435447 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((49 - 17) / tan(45)) - 67. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(45) = 0.9999999999999999$
2. $49 - 17 = 32$
3. $32 / 0... | ((49 - 17) / tan(45)) - 67 | -34.99999999999999 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((72 + 66) / 76) * 68. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $72 + 66 = 138$
2. $138 / 76 = 1.8157894736842106$
3. $1.8157894... | ((72 + 66) / 76) * 68 | 123.47368421052633 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(64) - 15) / 7) / 2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $8 - 15 = -7$
3. $-7 / 7 = -1$
4. $-1 / ... | ((sqrt(64) - 15) / 7) / 2 | -0.5 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(60) - sqrt(4)) * 3**4) / 43. 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. $sqrt(4) = 2$
3. $... | ((tan(60) - sqrt(4)) * 3**4) / 43 | 0.5047415020214182 | mixed | 2 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (49 + 46) + 62. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $49 + 46 = 95$
2. $95 + 62 = 157$
The answer is $157$
3. Drafting the r... | (49 + 46) + 62 | 157 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(360) * 71. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $1 * 71 = 71$
The answer is $71$
3. Drafting the respo... | cos(360) * 71 | 71 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 1 * 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. $1 * 0.7071067811865476 = 0.70710678118654... | 1 * cos(45) | 0.7071067811865476 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 22 * 100. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $22 * 100 = 2200$
The answer is $2200$
3. Drafting the response: "Ответ на ваш ... | 22 * 100 | 2200 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(125) - sin(180)) + 27) - 68. 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. $sin(180) = 1.2246... | ((cbrt(125) - sin(180)) + 27) - 68 | -36 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(49) / 54) + 100) - 18. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $sin(90) = 1$
3. $7 / 54 = 0.1296296296... | ((sqrt(49) / 54) + 100) - 18 | 82.12962962962963 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 78 / 4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $78 / 4 = 19.5$
The answer is $19.5$
3. Drafting the response: "Ответ на ваш запр... | 78 / 4 | 19.5 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(30) / cos(180). 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. $cos(180) = -1$
3. $0.86602540378... | cos(30) / cos(180) | -0.8660254037844387 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((29 + 86) + cot(225)) + cos(30). 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. $cos(30) = 0.8660254... | ((29 + 86) + cot(225)) + cos(30) | 38.12865222385667 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(45) * 53) - sin(60). 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(60) = 0.8660254037844386... | (cos(45) * 53) - sin(60) | 36.61063399910258 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((47 / 67) + 30) * 63. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $47 / 67 = 0.7014925373134329$
2. $0.7014925373134329 + 30 = 30.70... | ((47 / 67) + 30) * 63 | 1934.1940298507463 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 64 + 31. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $64 + 31 = 95$
The answer is $95$
3. Drafting the response: "Ответ на ваш запрос... | 64 + 31 | 95 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(45) * 5) * log(40, 10). 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(40, 10) = 1.602059991... | (cos(45) * 5) * log(40, 10) | 5.664137418678319 | mixed | 2 | 4 |
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