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: ((100 + 8) / cot(315)) - 26. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(315) = -0.9999999999999996$
2. $100 + 8 = 108$
3. $10... | ((100 + 8) / cot(315)) - 26 | -134.00000000000006 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(120) / tan(315)) / 19) - cot(135). 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. $tan(315) = -... | ((sec(120) / tan(315)) / 19) - cot(135) | 0.10526315789473673 | trig | 4 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((6**3 + 59) / log(13, 10)) - cbrt(216). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**3 = 216$
2. $log(13, 10) = 1.113943352306836... | ((6**3 + 59) / log(13, 10)) - cbrt(216) | 240.87072231322136 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(4) - tan(30)) * 72. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $tan(30) = 0.5773502691896257$
3. $2 - 0.577... | (sqrt(4) - tan(30)) * 72 | 102.43078061834694 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((94 - 21) / 33) + 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. $94 - 21 = 73$
3. $... | ((94 - 21) / 33) + sin(180) | 2.212121212121212 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((22 / 18) - 17) + 97. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $22 / 18 = 1.2222222222222223$
2. $1.2222222222222223 - 17 = -15.7... | ((22 / 18) - 17) + 97 | 81.22222222222223 | arithmetic | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(4) - cbrt(125). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $cbrt(125) = 4.999999999999999$
3. $2 - 4.9999999... | sqrt(4) - cbrt(125) | -2.999999999999999 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 71 + 72. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $71 + 72 = 143$
The answer is $143$
3. Drafting the response: "Ответ на ваш запр... | 71 + 72 | 143 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(64) + 1. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $8 + 1 = 9$
The answer is $9$
3. Drafting the response:... | sqrt(64) + 1 | 9 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((34 - sin(0)) / 11) + 90. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $34 - 0 = 34$
3. $34 / 11 = 3.09090909090909... | ((34 - sin(0)) / 11) + 90 | 81.0909090909091 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(360) - 2**4) / 81. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $2**4 = 16$
3. $1 - 16 = -15$
4. $-15 / 81 ... | (cos(360) - 2**4) / 81 | -0.18518518518518517 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(24, 5) * log(20, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(24, 5) = 1.9746358687061647$
2. $log(20, 5) = 1.86135311614... | log(24, 5) * log(20, 5) | 3.6754946274714357 | log | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(315) + cbrt(125)) * 95) - 89. 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. $cbrt(125) = 4.99... | ((tan(315) + cbrt(125)) * 95) - 89 | 290.9999999999999 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(30) * log(7, 5). 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. $log(7, 5) = 1.2090619551221675$
... | cos(30) * log(7, 5) | 1.0470783678850781 | mixed | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(4) + cbrt(216)) / 49. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $cbrt(216) = 5.999999999999999$
3. $2 + 5.... | (sqrt(4) + cbrt(216)) / 49 | 0.16326530612244897 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((13 - 77) - 97) - 13. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $13 - 77 = -64$
2. $-64 - 97 = -161$
3. $-161 - 13 = -174$
The... | ((13 - 77) - 97) - 13 | -174 | arithmetic | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(4) + 3) - sin(270)) * cos(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $sin(270) = -1$
3. $cos(360) = ... | ((sqrt(4) + 3) - sin(270)) * cos(360) | -81 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(125) * 3) * sqrt(100). 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. $sqrt(100) = 10$
3. $4.... | (cbrt(125) * 3) * sqrt(100) | 149.99999999999997 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((21 - sqrt(9)) / 32) * cbrt(27). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $cbrt(27) = 3$
3. $21 - 3 = 18$
4.... | ((21 - sqrt(9)) / 32) * cbrt(27) | 1.6875 | power | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(120) * cos(180)) - sqrt(64)) / tan(45). 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. $cos(180... | ((sec(120) * cos(180)) - sqrt(64)) / tan(45) | -6 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((54 - 78) - 32) + 10. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $54 - 78 = -24$
2. $-24 - 32 = -56$
3. $-56 + 10 = -46$
The an... | ((54 - 78) - 32) + 10 | -46 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(100) * 3**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $3**3 = 27$
3. $10 * 27 = 270$
The answer is $2... | sqrt(100) * 3**3 | 270 | power | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((75 * 73) * tan(30)) / cos(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(30) = 0.5773502691896257$
2. $cos(0) = 1$
3. $log(... | ((75 * 73) * tan(30)) / cos(0) | 4362.8376923755695 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (74 / sin(270)) + 56. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $74 / -1 = -74$
3. $-74 + 56 = -18$
The answ... | (74 / sin(270)) + 56 | -18 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(4) - 64) / 81) * cbrt(27). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $cbrt(27) = 3$
3. $2 - 64 = -62$
4... | ((sqrt(4) - 64) / 81) * cbrt(27) | -2.2962962962962963 | power | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((92 * 97) - 71) / 94. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $92 * 97 = 8924$
2. $8924 - 71 = 8853$
3. $8853 / 94 = 94.180851... | ((92 * 97) - 71) / 94 | 6310.1170212765965 | arithmetic | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (84 - 2**2) / log(15, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**2 = 4$
2. $log(15, 3) = 2.464973520717927$
3. $84 - 4 = 8... | (84 - 2**2) / log(15, 3) | 32.45470968657703 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (62 + 66) - 46. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $62 + 66 = 128$
2. $128 - 46 = 82$
The answer is $82$
3. Drafting the r... | (62 + 66) - 46 | 82 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (csc(210) / log(44, 10)) + 78. 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. $log(44, 10) = 1.64345... | (csc(210) / log(44, 10)) + 78 | 76.78304983854106 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cot(135) - 6**2. 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. $6**2 = 36$
3. $-0.999999999999999... | cot(135) - 6**2 | -37 | mixed | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: tan(360) - 49. 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. $-2.4492935982947064e-16 - 49 = -4... | tan(360) - 49 | -49 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(225) / 84) * 83) * 88. 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. $0.9999999999999997 / 84 ... | ((tan(225) / 84) * 83) * 88 | 5130.190476190474 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cot(90) + 69) + tan(315). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(90) = 6.123233995736766e-17$
2. $tan(315) = -1.0000000000... | (cot(90) + 69) + tan(315) | 68 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(45) - sec(240)) - 36) - log(4, 10). 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. $sec(240) = -1... | ((sec(45) - sec(240)) - 36) - log(4, 10) | -33.18784642895487 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((82 + 3) * 73) * 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. $tan(60) = 1.7320508075688767$
3. $82 + 3 =... | ((82 + 3) * 73) * sin(90) | 6206.732050807569 | trig | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((82 - tan(135)) * 13) - sin(180). 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. $sin(180) = 1.2246... | ((82 - tan(135)) * 13) - sin(180) | 1039 | trig | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 62 + 58. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $62 + 58 = 120$
The answer is $120$
3. Drafting the response: "Ответ на ваш запр... | 62 + 58 | 120 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((96 / 36) * 18) - 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. $96 / 36 = 2.6666666666666665$
3. $2.666... | ((96 / 36) * 18) - sqrt(25) | 52 | power | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (58 / sqrt(16)) - 10. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $58 / 4 = 14.5$
3. $14.5 - 10 = 4.5$
The answ... | (58 / sqrt(16)) - 10 | 4.5 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(81) + sqrt(100)) - 25) + 56. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $sqrt(100) = 10$
3. $9 + 10 = 19$... | ((sqrt(81) + sqrt(100)) - 25) + 56 | 51 | power | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 86 * 98. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $86 * 98 = 8428$
The answer is $8428$
3. Drafting the response: "Ответ на ваш за... | 86 * 98 | 8428 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(35, 5) / 11) / cbrt(27)) * 13. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(35, 5) = 2.2090619551221677$
2. $cbrt(27) = 3$
... | ((log(35, 5) / 11) / cbrt(27)) * 13 | -0.12976347222460094 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((63 * log(27, 10)) / 15) * 46. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(27, 10) = 1.4313637641589871$
2. $63 * 1.43136376415... | ((63 * log(27, 10)) / 15) * 46 | 276.5394792355163 | log | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 29 / log(39, 5). 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. $29 / 2.276298835653068 = 12.7399792... | 29 / log(39, 5) | 12.739979279425292 | log | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (8 + 76) - 50. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $8 + 76 = 84$
2. $84 - 50 = 34$
The answer is $34$
3. Drafting the respo... | (8 + 76) - 50 | 34 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(60) + 34. 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. $0.8660254037844386 + 34 = 34.86602540378... | sin(60) + 34 | 34.86602540378444 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(8) + 4**2) * 33. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $4**2 = 16$
3. $2 + 16 = 18$
4. $18 * 33 = 59... | (cbrt(8) + 4**2) * 33 | 594 | power | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(0) * 3**2) * 90) + 77. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(0) = 1$
2. $3**2 = 9$
3. $1 * 9 = 9$
4. $9 * 90 = 8... | ((sec(0) * 3**2) * 90) + 77 | 887 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cbrt(125) * 6. 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 * 6 = 29.99999999999... | cbrt(125) * 6 | 29.999999999999993 | power | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sec(120) / tan(315)) - 79. 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. $tan(315) = -1.00000000000... | (sec(120) / tan(315)) - 79 | -77 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (27 + 36) * 58. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $27 + 36 = 63$
2. $63 * 58 = 3654$
The answer is $3654$
3. Drafting the... | (27 + 36) * 58 | 3654 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((94 / 1) / 5) * sqrt(100). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $94 / 1 = 94$
3. $94 / 5 = 18.8$
4. $... | ((94 / 1) / 5) * sqrt(100) | 188 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 32 + cbrt(125). 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. $32 + 4.999999999999999 = 37$
The an... | 32 + cbrt(125) | 37 | power | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(39, 3) + 9. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(39, 3) = 3.3347175194727923$
2. $3.3347175194727923 + 9 = 12.3347175... | log(39, 3) + 9 | 12.334717519472793 | log | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((87 / log(42, 5)) - 60) / 69. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(42, 5) = 2.322344707681546$
2. $sin(270) = -1$
3. $... | ((87 / log(42, 5)) - 60) / 69 | 0.6733643318038918 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(20, 3) + sin(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(20, 3) = 2.7268330278608417$
2. $sin(270) = -1$
3. $2.72683... | log(20, 3) + sin(270) | 1.7268330278608417 | mixed | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (47 - 55) + cot(135). 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. $47 - 55 = -8$
3. $-8 + -0.99... | (47 - 55) + cot(135) | -9 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(30) - 61) * sqrt(49). 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. $sqrt(49) = 7$
3. $0.4999... | (sin(30) - 61) * sqrt(49) | -423.5 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (92 - 30) + sin(360). 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. $92 - 30 = 62$
3. $62 + -... | (92 - 30) + sin(360) | 62 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(30) + 39) + 27) - cos(360). 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. $cos(360) = 1$
3. $... | ((cot(30) + 39) + 27) - cos(360) | 66.73205080756887 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((48 * sqrt(81)) / cbrt(216)) / 14. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $cbrt(216) = 5.999999999999999$
3... | ((48 * sqrt(81)) / cbrt(216)) / 14 | 5.142857142857144 | power | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: tan(180) / 54. 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. $-1.2246467991473532e-16 / 54 = -2... | tan(180) / 54 | -2.267864442865469e-18 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((15 - 94) * sqrt(25)) - 15. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $15 - 94 = -79$
3. $-79 * 5 = -395$
4.... | ((15 - 94) * sqrt(25)) - 15 | -24.11764705882353 | power | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (50 - 87) + 57. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $50 - 87 = -37$
2. $-37 + 57 = 20$
The answer is $20$
3. Drafting the r... | (50 - 87) + 57 | 20 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((87 - log(32, 2)) / 43) * log(3, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(32, 2) = 5$
2. $log(3, 2) = 1.5849625007211563... | ((87 - log(32, 2)) / 43) * log(3, 2) | 87.0224866292822 | log | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(360) / 46) - 14. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $1 / 46 = 0.021739130434782608$
3. $0.021739130... | (cos(360) / 46) - 14 | -13.978260869565217 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (19 - 38) - log(28, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(28, 5) = 2.0704150712689535$
2. $19 - 38 = -19$
3. $-19 - ... | (19 - 38) - log(28, 5) | -21.070415071268954 | log | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (1 / 94) * tan(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(0) = 0$
2. $1 / 94 = 0.010638297872340425$
3. $0.01063829787234... | (1 / 94) * tan(0) | 0 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((64 / 84) / 4) + tan(225). 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. $sqrt(81) = 9$
3. $64 / ... | ((64 / 84) / 4) + tan(225) | 10.714285714285712 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((84 / sqrt(36)) * csc(270)) * 43. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $csc(270) = -1$
3. $84 / 6 = 14$
... | ((84 / sqrt(36)) * csc(270)) * 43 | -33712 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (34 * 66) + 88. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $34 * 66 = 2244$
2. $2244 + 88 = 2332$
The answer is $2332$
3. Drafting... | (34 * 66) + 88 | 2332 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((6 / 45) - 9) * cot(315). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(315) = -0.9999999999999996$
2. $5**2 = 25$
3. $6 / 45 =... | ((6 / 45) - 9) * cot(315) | 33.86666666666666 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(64) - sqrt(25). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $sqrt(25) = 5$
3. $8 - 5 = 3$
The answer is $3... | sqrt(64) - sqrt(25) | 3 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (86 / 25) - 19. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $86 / 25 = 3.44$
2. $3.44 - 19 = -15.56$
The answer is $-15.56$
3. Draf... | (86 / 25) - 19 | -15.56 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 6**4 / 69. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**4 = 1296$
2. $1296 / 69 = 18.782608695652176$
The answer is $18.78260869... | 6**4 / 69 | 18.782608695652176 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cbrt(125) + cbrt(8). 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. $cbrt(8) = 2$
3. $4.99999999999... | cbrt(125) + cbrt(8) | 6.999999999999999 | power | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(270) / 86) / sqrt(25)) * cos(90). 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. $sqrt(25)... | ((cos(270) / 86) / sqrt(25)) * cos(90) | -2.6158600860381234e-37 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((95 - 2**3) + sqrt(81)) + sin(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**3 = 8$
2. $sqrt(81) = 9$
3. $sin(360) = -2.449... | ((95 - 2**3) + sqrt(81)) + sin(360) | 96 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(0) / 61. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $0 / 61 = 0$
The answer is $0$
3. Drafting the response: "... | sin(0) / 61 | 0 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(37, 3) / 83) - 43) * sec(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(37, 3) = 3.2867991282182727$
2. $sec(45) = 1.414... | ((log(37, 3) / 83) - 43) * sec(45) | -109.75518033982715 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: csc(270) + 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. $-1 + 89 = 88$
The answer is $88$
3. Drafting the res... | csc(270) + 89 | 88 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (100 * 48) + 98. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $100 * 48 = 4800$
2. $4800 + 98 = 4898$
The answer is $4898$
3. Drafti... | (100 * 48) + 98 | 4898 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((11 / 13) / 32) + 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. $11 / 13 = 0.8461538461538461$
3. $0.846... | ((11 / 13) / 32) + sqrt(36) | 6.0264423076923075 | power | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 49 * cot(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(90) = 6.123233995736766e-17$
2. $49 * 6.123233995736766e-17 = 3.000384... | 49 * cot(90) | 3.0003846579110155e-15 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(49) / tan(315). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $tan(315) = -1.0000000000000004$
3. $7 / -1.0000... | sqrt(49) / tan(315) | -6.999999999999997 | mixed | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((16 / 81) + 1) - 8. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $16 / 81 = 0.19753086419753085$
2. $0.19753086419753085 + 1 = 1.1975... | ((16 / 81) + 1) - 8 | -6.802469135802469 | arithmetic | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(45) / 30) * 6**3. 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. $6**3 = 216$
3. $0.70710678118... | (cos(45) / 30) * 6**3 | 5.091168824543143 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(33, 10) * tan(45)) * log(22, 3)) * 38. 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. $tan(4... | ((log(33, 10) * tan(45)) * log(22, 3)) * 38 | 10.147122755371552 | mixed | 1 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 99 * 30. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $99 * 30 = 2970$
The answer is $2970$
3. Drafting the response: "Ответ на ваш за... | 99 * 30 | 2970 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((80 + 28) / log(12, 2)) - tan(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(12, 2) = 3.5849625007211565$
2. $tan(360) = -2.... | ((80 + 28) / log(12, 2)) - tan(360) | 30.12583813032202 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((81 - cos(90)) * 77) * sqrt(25). 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. $sqrt(25) = 5$
3... | ((81 - cos(90)) * 77) * sqrt(25) | 31248 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 21 - 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. $21 - 1 = 20$
The answer is $20$
3. Drafting the respons... | 21 - sin(90) | 20 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(270) * 58. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $-1 * 58 = -58$
The answer is $-58$
3. Drafting the r... | sin(270) * 58 | -58 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (48 + tan(0)) - 15. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(0) = 0$
2. $48 + 0 = 48$
3. $48 - 15 = 33$
The answer is $33... | (48 + tan(0)) - 15 | 33 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(24, 2) * csc(210)) * sec(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(24, 2) = 4.584962500721157$
2. $csc(210) = -1.999... | (log(24, 2) * csc(210)) * sec(30) | -10.588517336062797 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 81 - 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. $81 - 5 = 76$
The answer is $76$
3. Drafting the respo... | 81 - sqrt(25) | 76 | power | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (95 / log(45, 2)) * 40. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(45, 2) = 5.491853096329675$
2. $95 / 5.491853096329675 = 17.... | (95 / log(45, 2)) * 40 | 691.9340217857654 | log | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (58 - 28) - cot(270). 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. $58 - 28 = 30$
3. $30 - 1.83... | (58 - 28) - cot(270) | 30 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(42, 3) / 10) / 65) / 18. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(42, 3) = 3.4021735027328797$
2. $3.4021735027328797 /... | ((log(42, 3) / 10) / 65) / 18 | -52.99970921593994 | log | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (80 / 54) - 35. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $80 / 54 = 1.4814814814814814$
2. $1.4814814814814814 - 35 = -33.51851851... | (80 / 54) - 35 | -33.51851851851852 | arithmetic | 3 | 2 |
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