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: ((31 - csc(60)) + 46) / 29. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(60) = 1.1547005383792517$
2. $31 - 1.1547005383792517 = ... | ((31 - csc(60)) + 46) / 29 | 36.615355153848995 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(81) / 25) - 51) * 21. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $9 / 25 = 0.36$
3. $0.36 - 51 = -50.64$
... | ((sqrt(81) / 25) - 51) * 21 | -1063.44 | power | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((58 * 49) + 32) / 68. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $58 * 49 = 2842$
2. $2842 + 32 = 2874$
3. $2874 / 68 = 42.264705... | ((58 * 49) + 32) / 68 | 42.26470588235294 | arithmetic | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(29, 5) * csc(45)) / 24. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(29, 5) = 2.0922185341675$
2. $csc(45) = 1.4142135623730... | (log(29, 5) * csc(45)) / 24 | 0.12328515943616812 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((21 - 46) - 46) - 84. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**4 = 81$
2. $21 - 46 = -25$
3. $-25 - 46 = -71$
4. $-71 - 8... | ((21 - 46) - 46) - 84 | -12555 | power | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 13 + 3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $13 + 3 = 16$
The answer is $16$
3. Drafting the response: "Ответ на ваш запрос в... | 13 + 3 | 16 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 82 * 16. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $82 * 16 = 1312$
The answer is $1312$
3. Drafting the response: "Ответ на ваш за... | 82 * 16 | 1312 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (13 - 1) + tan(180). 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. $13 - 1 = 12$
3. $12 + -1.... | (13 - 1) + tan(180) | 12 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((49 - 6**4) - 93) / 72. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**4 = 1296$
2. $49 - 1296 = -1247$
3. $-1247 - 93 = -1340$
... | ((49 - 6**4) - 93) / 72 | -2.6111111111111107 | power | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((88 * 55) + 17) - 4**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**3 = 64$
2. $88 * 55 = 4840$
3. $4840 + 17 = 4857$
4. $48... | ((88 * 55) + 17) - 4**3 | 306752 | power | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((22 + 55) * 61) + 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. $22 + 55 = 77$
3. $77 ... | ((22 + 55) * 61) + cot(90) | 4697 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((5 / 23) - 33) - 16. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5 / 23 = 0.21739130434782608$
2. $0.21739130434782608 - 33 = -32.7... | ((5 / 23) - 33) - 16 | -48.78260869565217 | arithmetic | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((40 / 26) * log(42, 3)) / 37. 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. $sqrt(36) = 6$
3. $... | ((40 / 26) * log(42, 3)) / 37 | 0.02357708595102481 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(60) - 83) * 4**4) + 36. 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. $4**4 = 256$
3. $0.8660... | ((sin(60) - 83) * 4**4) + 36 | -20990.297496631185 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(19, 10) - csc(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(19, 10) = 1.2787536009528289$
2. $csc(45) = 1.414213562373095... | log(19, 10) - csc(45) | -0.13545996142026606 | mixed | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((81 / 40) - 2) * 82. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $81 / 40 = 2.025$
2. $2.025 - 2 = 0.02499999999999991$
3. $0.0249... | ((81 / 40) - 2) * 82 | 2.0499999999999927 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (6 + 97) * 13. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6 + 97 = 103$
2. $103 * 13 = 1339$
The answer is $1339$
3. Drafting the... | (6 + 97) * 13 | 1339 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((68 / 82) / sqrt(16)) / log(32, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $log(32, 2) = 5$
3. $3**4 = 81$
... | ((68 / 82) / sqrt(16)) / log(32, 2) | 0.0005118940078289671 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (46 * 19) * cot(30). 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. $46 * 19 = 874$
3. $874 * 1.7320... | (46 * 19) * cot(30) | 1513.8124058151989 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(90) + cot(135)) * 83) / 63. 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. $cot(135) = -0.999... | ((cot(90) + cot(135)) * 83) / 63 | -1.317460317460317 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (6**2 + 94) / 2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**2 = 36$
2. $36 + 94 = 130$
3. $130 / 2 = 65$
The answer is $65$
... | (6**2 + 94) / 2 | 65 | power | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((6**3 - cos(30)) / 81) + sqrt(16). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**3 = 216$
2. $cos(30) = 0.8660254037844387$
3. $... | ((6**3 - cos(30)) / 81) + sqrt(16) | 6.655974995015007 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cot(45) - 41. 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. $1.0000000000000002 - 41 = -40$
The ans... | cot(45) - 41 | -40 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 51 / 72. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $51 / 72 = 0.7083333333333334$
The answer is $0.7083333333333334$
3. Drafting th... | 51 / 72 | 0.7083333333333334 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(27, 3) * log(36, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(27, 3) = 3$
2. $log(36, 5) = 2.226565505118757$
3. $3 * 2... | log(27, 3) * log(36, 5) | 6.679696515356271 | log | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (60 - 94) + sqrt(81). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $60 - 94 = -34$
3. $-34 + 9 = -25$
The answer... | (60 - 94) + sqrt(81) | -25 | power | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (6 + 21) + 36. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6 + 21 = 27$
2. $27 + 36 = 63$
The answer is $63$
3. Drafting the respo... | (6 + 21) + 36 | 63 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 31 / 94. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $31 / 94 = 0.32978723404255317$
The answer is $0.32978723404255317$
3. Drafting ... | 31 / 94 | 0.32978723404255317 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((87 - 4) + 87) - cot(225). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(225) = 1.0000000000000004$
2. $87 - 4 = 83$
3. $83 + 8... | ((87 - 4) + 87) - cot(225) | 169 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (99 / 14) / 76. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $99 / 14 = 7.071428571428571$
2. $7.071428571428571 / 76 = 0.093045112781... | (99 / 14) / 76 | 0.09304511278195489 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(225) / sqrt(16)) - tan(225)) - 95. 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. $sqrt(16) = 4... | ((cot(225) / sqrt(16)) - tan(225)) - 95 | -95.75 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((97 / log(34, 2)) - 22) + 27. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(34, 2) = 5.08746284125034$
2. $tan(225) = 0.999999999... | ((97 / log(34, 2)) - 22) + 27 | 24.066478326583784 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((58 * 19) + cbrt(27)) / 30. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $58 * 19 = 1102$
3. $1102 + 3 = 1105$
... | ((58 * 19) + cbrt(27)) / 30 | 773.5 | power | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(360) + tan(135). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(360) = 1$
2. $tan(135) = -1.0000000000000002$
3. $1 + -1.0000... | sec(360) + tan(135) | -2.220446049250313e-16 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(49) * log(29, 5)) * 52. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $log(29, 5) = 2.0922185341675$
3. $7 * ... | (sqrt(49) * log(29, 5)) * 52 | 761.5675464369699 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (45 + 85) * 75. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $45 + 85 = 130$
2. $130 * 75 = 9750$
The answer is $9750$
3. Drafting t... | (45 + 85) * 75 | 9750 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 14 + 94. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $14 + 94 = 108$
The answer is $108$
3. Drafting the response: "Ответ на ваш запр... | 14 + 94 | 108 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (24 * tan(360)) + sin(180). 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. $sin(180) = 1.2246467... | (24 * tan(360)) + sin(180) | -5.75583995599256e-15 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((79 / 67) + 65) / 23. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $79 / 67 = 1.1791044776119404$
2. $1.1791044776119404 + 65 = 66.17... | ((79 / 67) + 65) / 23 | 126.60350421804023 | arithmetic | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((38 - 88) - 94) + 38. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $38 - 88 = -50$
2. $-50 - 94 = -144$
3. $-144 + 38 = -106$
The... | ((38 - 88) - 94) + 38 | -106 | arithmetic | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(25) - cos(30)) - cos(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $cos(30) = 0.8660254037844387$
3. $cos... | (sqrt(25) - cos(30)) - cos(0) | 3.1339745962155616 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(44, 3) + cot(30)) * log(47, 5)) / 36. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(44, 3) = 3.4445178457870527$
2. $cot(30)... | ((log(44, 3) + cot(30)) * log(47, 5)) / 36 | 0.24323587589570342 | mixed | 1 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(216) + 100) - cos(45)) * 17. 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. $cos(45) = 0.70710... | ((cbrt(216) + 100) - cos(45)) * 17 | 1789.9791847198285 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(240) + 53. 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. $-1.9999999999999982 + 53 = 51$
The ... | sec(240) + 53 | 51 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (61 / 20) + 72. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $61 / 20 = 3.05$
2. $3.05 + 72 = 75.05$
The answer is $75.05$
3. Drafti... | (61 / 20) + 72 | 75.05 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((96 - sec(30)) + 95) / cos(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(30) = 1.1547005383792515$
2. $cos(180) = -1$
3. ... | ((96 - sec(30)) + 95) / cos(180) | -139.84529946162075 | trig | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((25 * 36) + csc(90)) + log(28, 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. $log(28, 3) = 3.033103256304337$
3... | ((25 * 36) + csc(90)) + log(28, 3) | 811.0331032563043 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((5**2 + 35) / sqrt(49)) / sin(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**2 = 25$
2. $sqrt(49) = 7$
3. $sin(270) = -1$
... | ((5**2 + 35) / sqrt(49)) / sin(270) | -8.571428571428571 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(30) - 39) / log(12, 2)) * log(31, 10). 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(12, ... | ((sin(30) - 39) / log(12, 2)) * log(31, 10) | -16.01618572051153 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((42 * sin(0)) / 24) * sin(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $sin(270) = -1$
3. $42 * 0 = 0$
4. $... | ((42 * sin(0)) / 24) * sin(270) | 0 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((66 + 27) * 89) * log(13, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(13, 2) = 3.700439718141092$
2. $66 + 27 = 93$
3. $9... | ((66 + 27) * 89) * log(13, 2) | 30628.53954705382 | log | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((5 + 63) / 98) / 76. 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. $5 + 63 = 68$
3. $68 / 98 = 0.6... | ((5 + 63) / 98) / 76 | 0.01581356806051069 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(0) + cot(45)) / 86. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $cot(45) = 1.0000000000000002$
3. $0 + 1.00000... | (sin(0) + cot(45)) / 86 | 0.01162790697674419 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(360) / 43) * 64) - 96. 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. $tan(225) = 0.999999... | ((tan(360) / 43) * 64) - 96 | -95 | trig | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((45 * 42) + tan(315)) / log(40, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(315) = -1.0000000000000004$
2. $log(40, 2) = 5.... | ((45 * 42) + tan(315)) / log(40, 2) | 439.94654687550417 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((18 / 21) - sin(30)) - 19. 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. $18 / 21 = 0.8571428571428... | ((18 / 21) - sin(30)) - 19 | -18.642857142857142 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 77 + sqrt(49). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $77 + 7 = 84$
The answer is $84$
3. Drafting the respo... | 77 + sqrt(49) | 84 | power | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (8 + 50) / 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. $8 + 50 = 58$
3. $58 / 2 = 29$
The answer is $29... | (8 + 50) / cbrt(8) | 29 | power | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 65 * 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. $65 * 0.7071067811865476 = 45.96194077712... | 65 * sin(45) | 45.96194077712559 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 89 / 41. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $89 / 41 = 2.1707317073170733$
The answer is $2.1707317073170733$
3. Drafting th... | 89 / 41 | 2.1707317073170733 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((85 * sin(0)) / 68) * tan(135). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $tan(135) = -1.0000000000000002$
3. $8... | ((85 * sin(0)) / 68) * tan(135) | 0 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (63 - 14) * 30. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $63 - 14 = 49$
2. $49 * 30 = 1470$
The answer is $1470$
3. Drafting the... | (63 - 14) * 30 | 1470 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((87 - 8) + 56) + 98. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $87 - 8 = 79$
2. $79 + 56 = 135$
3. $135 + 98 = 233$
4. $233 + ... | ((87 - 8) + 56) + 98 | 303 | arithmetic | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(25) - 63. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $5 - 63 = -58$
The answer is $-58$
3. Drafting the res... | sqrt(25) - 63 | -58 | power | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 47 * 80. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $47 * 80 = 3760$
The answer is $3760$
3. Drafting the response: "Ответ на ваш за... | 47 * 80 | 3760 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 2**3 - log(13, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**3 = 8$
2. $log(13, 3) = 2.3347175194727927$
3. $8 - 2.3347175194... | 2**3 - log(13, 3) | 5.665282480527207 | mixed | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((73 / 96) / log(6, 3)) / sqrt(100). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(6, 3) = 1.6309297535714573$
2. $sqrt(100) = 10$... | ((73 / 96) / log(6, 3)) / sqrt(100) | 3.7299787559898725 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 40 / 8. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $40 / 8 = 5$
The answer is $5$
3. Drafting the response: "Ответ на ваш запрос в р... | 40 / 8 | 5 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(31, 2) + 6) - sqrt(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. $4.9... | (log(31, 2) + 6) - sqrt(36) | 4.954196310386877 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(49) - 62) - 40) / sqrt(49). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $sqrt(49) = 7$
3. $7 - 62 = -55$
... | ((sqrt(49) - 62) - 40) / sqrt(49) | -13.571428571428571 | power | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 2 * tan(135). 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. $2 * -1.0000000000000002 = -2.000000000... | 2 * tan(135) | -2.0000000000000004 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((97 - 49) + 63) / tan(315). 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. $97 - 49 = 48$
3. $48 ... | ((97 - 49) + 63) / tan(315) | -110.99999999999996 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(60) - 88) + sqrt(81)) / 85. 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. $sqrt(81) = 9$
3. $... | ((sin(60) - 88) + sqrt(81)) / 85 | -0.4596116152718564 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 93 * log(9, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(9, 10) = 0.9542425094393249$
2. $93 * 0.9542425094393249 = 88.74455... | 93 * log(9, 10) | 88.74455337785722 | log | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((67 * 65) / sin(60)) - sqrt(100). 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. $sqrt(100) = 10$
3... | ((67 * 65) / sin(60)) - sqrt(100) | 716.9601206630915 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((3 * sqrt(9)) - cbrt(64)) - 43. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $cbrt(64) = 3.9999999999999996$
3. $3... | ((3 * sqrt(9)) - cbrt(64)) - 43 | -38 | power | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(45) / 13) * cos(0)) - 81. 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. $0.70... | ((sin(45) / 13) * cos(0)) - 81 | -2.890914541809927 | trig | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(135) - 6**3) * log(31, 2)) / sin(90). 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**3 = 2... | ((cot(135) - 6**3) * log(31, 2)) / sin(90) | -1075.060599353952 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(8) - sqrt(9)) / 89) * 9. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $sqrt(9) = 3$
3. $2 - 3 = -1$
4. $-1... | ((cbrt(8) - sqrt(9)) / 89) * 9 | -0.10112359550561797 | power | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 86 + 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. $86 + 0.5000000000000001 = 86.5$
The an... | 86 + cos(60) | 86.5 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 78 * 47. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $78 * 47 = 3666$
The answer is $3666$
3. Drafting the response: "Ответ на ваш за... | 78 * 47 | 3666 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (47 * cot(45)) / tan(225). 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. $tan(225) = 0.99999999999999... | (47 * cot(45)) / tan(225) | 47.00000000000002 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(20, 10) * 6. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(20, 10) = 1.301029995663981$
2. $1.301029995663981 * 6 = 7.80617997... | log(20, 10) * 6 | 7.806179973983886 | log | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(60) / 70) + 4) - 5. 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 / 70 = 0.... | ((sin(60) / 70) + 4) - 5 | -0.9876282085173651 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((52 / sqrt(64)) * 22) - 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. $52 / 8 = 6.5$
3. $6.5 * 22 = 143$
4. ... | ((52 / sqrt(64)) * 22) - 64 | 79 | power | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(81) * 13) / 64) + sin(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $sin(180) = 1.2246467991473532e-16$
... | ((sqrt(81) * 13) / 64) + sin(180) | -63.171875 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 6 - 14. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6 - 14 = -8$
The answer is $-8$
3. Drafting the response: "Ответ на ваш запрос в... | 6 - 14 | -8 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (91 + 15) * csc(150). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(150) = 2.0000000000000004$
2. $91 + 15 = 106$
3. $106 * 2.00... | (91 + 15) * csc(150) | 212.00000000000006 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 45 + 82. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $45 + 82 = 127$
The answer is $127$
3. Drafting the response: "Ответ на ваш запр... | 45 + 82 | 127 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((47 - sec(30)) + 47) - sin(45). 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. $sin(45) = 0.707106781... | ((47 - sec(30)) + 47) - sin(45) | 293.24438724198416 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(9) * sqrt(4). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $sqrt(4) = 2$
3. $3 * 2 = 6$
The answer is $6$
3.... | sqrt(9) * sqrt(4) | 6 | power | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(25) - 21) / 12) + 35. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $sqrt(4) = 2$
3. $5 - 21 = -16$
4. $-1... | ((sqrt(25) - 21) / 12) + 35 | 67.33333333333333 | power | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((5 - log(22, 2)) - 26) + 44. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(22, 2) = 4.459431618637297$
2. $5 - 4.459431618637297 ... | ((5 - log(22, 2)) - 26) + 44 | 18.540568381362704 | log | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((1 + sin(180)) - tan(225)) / log(8, 5). 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. $tan(225)... | ((1 + sin(180)) - tan(225)) / log(8, 5) | -91 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((46 + 26) * 72) + log(40, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(40, 10) = 1.6020599913279623$
2. $46 + 26 = 72$
3.... | ((46 + 26) * 72) + log(40, 10) | 5144.602059991328 | log | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cot(90) * 62. 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. $6.123233995736766e-17 * 62 = 3.796405... | cot(90) * 62 | 3.796405077356795e-15 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: tan(30) + log(14, 3). 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. $log(14, 3) = 2.402173502732879$
... | tan(30) + log(14, 3) | 2.979523771922505 | mixed | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((33 - 64) + 76) - log(9, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(9, 3) = 2$
2. $33 - 64 = -31$
3. $-31 + 76 = 45$
4... | ((33 - 64) + 76) - log(9, 3) | 1161 | log | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(8) / 61) + 4) - 3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $cos(45) = 0.7071067811865476$
3. $2 / 61 = ... | ((cbrt(8) / 61) + 4) - 3 | 1.7398936664324487 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 19 * 41. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $19 * 41 = 779$
The answer is $779$
3. Drafting the response: "Ответ на ваш запр... | 19 * 41 | 779 | arithmetic | 5 | 1 |
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