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: (42 - 72) * 44. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $42 - 72 = -30$
2. $-30 * 44 = -1320$
The answer is $-1320$
3. Drafting... | (42 - 72) * 44 | -1320 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (51 / 16) / 74. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $51 / 16 = 3.1875$
2. $3.1875 / 74 = 0.04307432432432432$
The answer is... | (51 / 16) / 74 | 0.04307432432432432 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(30) - 96) / 34) + 48. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(30) = 0.49999999999999994$
2. $0.49999999999999994 - 96 ... | ((sin(30) - 96) / 34) + 48 | 45.19117647058823 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 42 * 25. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $42 * 25 = 1050$
The answer is $1050$
3. Drafting the response: "Ответ на ваш за... | 42 * 25 | 1050 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (66 * 89) / log(31, 2). 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. $66 * 89 = 5874$
3. $5874 /... | (66 * 89) / log(31, 2) | 1185.6615345832545 | log | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (58 - cbrt(8)) / 83. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $58 - 2 = 56$
3. $56 / 83 = 0.6746987951807228$
... | (58 - cbrt(8)) / 83 | 0.6746987951807228 | power | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(42, 2) + cos(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(42, 2) = 5.392317422778761$
2. $cos(360) = 1$
3. $5.3923174... | log(42, 2) + cos(360) | 6.392317422778761 | mixed | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((69 - 35) - 40) / 88. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $69 - 35 = 34$
2. $34 - 40 = -6$
3. $-6 / 88 = -0.06818181818181... | ((69 - 35) - 40) / 88 | -0.06818181818181818 | arithmetic | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 6 / tan(45). 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. $6 / 0.9999999999999999 = 6.00000000000000... | 6 / tan(45) | 6.000000000000001 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(360) * log(50, 2)) + 29) - log(30, 2). 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. $log... | ((tan(360) * log(50, 2)) + 29) - log(30, 2) | 13.910163200240525 | mixed | 2 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(20, 2) * 2**4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(20, 2) = 4.321928094887363$
2. $2**4 = 16$
3. $4.32192809488736... | log(20, 2) * 2**4 | 69.1508495181978 | mixed | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((84 * csc(90)) / 67) + 93. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(90) = 1$
2. $84 * 1 = 84$
3. $84 / 67 = 1.253731343283... | ((84 * csc(90)) / 67) + 93 | 94.25373134328358 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(90) - sqrt(36). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $sqrt(36) = 6$
3. $1 - 6 = -5$
The answer is $-5... | sin(90) - sqrt(36) | -5 | mixed | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(36) - 73) * 83) - 24. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $6 - 73 = -67$
3. $-67 * 83 = -5561$
4... | ((sqrt(36) - 73) * 83) - 24 | -5585 | power | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((69 * 3**4) + cbrt(216)) * 16. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**4 = 81$
2. $cbrt(216) = 5.999999999999999$
3. $cos(... | ((69 * 3**4) + cbrt(216)) * 16 | 89519 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((89 - 40) / 86) * cbrt(216). 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. $89 - 40 = 49$
3. $49 ... | ((89 - 40) / 86) * cbrt(216) | 6.41860465116279 | power | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((20 + 11) + 59) / 42. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $20 + 11 = 31$
2. $31 + 59 = 90$
3. $90 / 42 = 2.142857142857143... | ((20 + 11) + 59) / 42 | 2.142857142857143 | arithmetic | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 53 - log(43, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(43, 2) = 5.426264754702098$
2. $53 - 5.426264754702098 = 47.5737352... | 53 - log(43, 2) | 47.573735245297904 | log | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: tan(45) + 44. 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. $0.9999999999999999 + 44 = 45$
The answ... | tan(45) + 44 | 45 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(30) - 69) * csc(270). 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. $csc(270) = -1$
3. $0.499... | (sin(30) - 69) * csc(270) | 68.5 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((59 + cos(360)) - cot(60)) * 34. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $cot(60) = 0.577350269189626$
3. $5... | ((59 + cos(360)) - cot(60)) * 34 | 2020.3700908475528 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 25 + 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. $25 + 7 = 32$
The answer is $32$
3. Drafting the respo... | 25 + sqrt(49) | 32 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((4 - 40) + 61) - log(3, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(3, 5) = 0.6826061944859854$
2. $4 - 40 = -36$
3. $-36... | ((4 - 40) + 61) - log(3, 5) | 24.317393805514016 | log | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(49) + tan(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $tan(60) = 1.7320508075688767$
3. $7 + 1.73205080... | sqrt(49) + tan(60) | 8.732050807568877 | mixed | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (22 + 67) + log(13, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(13, 5) = 1.5936926411670824$
2. $22 + 67 = 89$
3. $89 + 1.... | (22 + 67) + log(13, 5) | 90.59369264116708 | log | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 89 + 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. $89 + -2.4492935982947064e-16 = 89... | 89 + sin(360) | 89 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 96 - 98. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $96 - 98 = -2$
The answer is $-2$
3. Drafting the response: "Ответ на ваш запрос... | 96 - 98 | -2 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((63 * 59) - 69) * 99. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $63 * 59 = 3717$
2. $3717 - 69 = 3648$
3. $3648 * 99 = 361152$
... | ((63 * 59) - 69) * 99 | 361190 | arithmetic | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((30 + 89) * 17) / 18. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $30 + 89 = 119$
2. $119 * 17 = 2023$
3. $2023 / 18 = 112.3888888... | ((30 + 89) * 17) / 18 | 112.38888888888889 | arithmetic | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (14 * 3) * 32. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $14 * 3 = 42$
2. $42 * 32 = 1344$
The answer is $1344$
3. Drafting the r... | (14 * 3) * 32 | 1344 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(60) * 17) / 38) / 60. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(60) = 0.8660254037844386$
2. $0.8660254037844386 * 17 = ... | ((sin(60) * 17) / 38) / 60 | 0.006457206958041866 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((52 + 6**3) + 64) / tan(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**3 = 216$
2. $tan(60) = 1.7320508075688767$
3. $52 + 2... | ((52 + 6**3) + 64) / tan(60) | 191.68028937095582 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((63 / 94) - 54) / 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. $63 / 94 = 0.6702127659574468$
3. $0.670... | ((63 / 94) - 54) / sqrt(25) | -10.66595744680851 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(240) + cot(225). 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. $cot(225) = 1.0000000000000004$
... | sec(240) + cot(225) | -0.9999999999999978 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(100) + 45) * sin(270)) * 5. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $sin(270) = -1$
3. $cos(270) = -... | ((sqrt(100) + 45) * sin(270)) * 5 | -275 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((92 + 75) * 1) / 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. $6**2 = 36$
3. $92 + 75 = 167$
4. $1... | ((92 + 75) * 1) / sqrt(100) | -19.3 | power | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((68 / sqrt(36)) * 83) - 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. $68 / 6 = 11.333333333333334$
3. $11.333... | ((68 / sqrt(36)) * 83) - 43 | 897.6666666666667 | power | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(0) - cbrt(125)) - 53) / 40. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $cbrt(125) = 4.999999999999999$
3. $2... | ((sin(0) - cbrt(125)) - 53) / 40 | 6.55 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 12 * 56. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $12 * 56 = 672$
The answer is $672$
3. Drafting the response: "Ответ на ваш запр... | 12 * 56 | 672 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(60) / 62) + csc(90)) / 95. 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. $csc(90) = 1$
3. $lo... | ((csc(60) / 62) + csc(90)) / 95 | 0.02457596735152027 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((43 - 52) / log(12, 10)) * 42. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(12, 10) = 1.0791812460476247$
2. $tan(30) = 0.577350... | ((43 - 52) / log(12, 10)) * 42 | -606.6777083634965 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: tan(0) + 54. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(0) = 0$
2. $0 + 54 = 54$
The answer is $54$
3. Drafting the response:... | tan(0) + 54 | 54 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 43 + 42. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $43 + 42 = 85$
The answer is $85$
3. Drafting the response: "Ответ на ваш запрос... | 43 + 42 | 85 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((30 - csc(90)) / 90) / 17. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(90) = 1$
2. $30 - 1 = 29$
3. $29 / 90 = 0.322222222222... | ((30 - csc(90)) / 90) / 17 | 0.018954248366013074 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(64) * log(40, 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. $log(40, 2) = 5.321928094887363$
3. $8 * 5.321... | sqrt(64) * log(40, 2) | 42.5754247590989 | mixed | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(22, 3) * log(3, 2)) + sin(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(22, 3) = 2.8135880922155954$
2. $log(3, 2) = 1.5... | (log(22, 3) * log(3, 2)) + sin(30) | 4.959431618637297 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((95 + 41) * cos(90)) + 85. 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. $95 + 41 = 136$
3. $13... | ((95 + 41) * cos(90)) + 85 | 85.00000000000001 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(25) * 99) + 12. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $5 * 99 = 495$
3. $495 + 12 = 507$
The answer... | (sqrt(25) * 99) + 12 | 507 | power | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(41, 10) + 49) - 55. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(41, 10) = 1.6127838567197355$
2. $1.6127838567197355 + 49 =... | (log(41, 10) + 49) - 55 | -4.387216143280263 | log | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(8, 2) - sqrt(64). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(8, 2) = 3$
2. $sqrt(64) = 8$
3. $3 - 8 = -5$
The answer is... | log(8, 2) - sqrt(64) | -5 | mixed | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(216) * 85) + 56) + 96. 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. $5.999999999999999 * 85 ... | ((cbrt(216) * 85) + 56) + 96 | 612 | power | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(9) - 6) * 31) + 33. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $3 - 6 = -3$
3. $-3 * 31 = -93$
4. $-93 +... | ((sqrt(9) - 6) * 31) + 33 | -60 | power | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (24 - 49) / 38. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $24 - 49 = -25$
2. $-25 / 38 = -0.6578947368421053$
The answer is $-0.6... | (24 - 49) / 38 | -0.6578947368421053 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (90 - 39) - 71. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $90 - 39 = 51$
2. $51 - 71 = -20$
The answer is $-20$
3. Drafting the r... | (90 - 39) - 71 | -20 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (100 * tan(180)) - sqrt(81). 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. $sqrt(81) = 9$
3. ... | (100 * tan(180)) - sqrt(81) | -9.000000000000012 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (23 / 40) / 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. $23 / 40 = 0.575$
3. $0.575 / 1 = 0.575$
The an... | (23 / 40) / sin(90) | 0.575 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(225) + cos(270)) + 95) + 9. 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. $cos(270) = -1.83697... | ((tan(225) + cos(270)) + 95) + 9 | 105 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(135) + 49) * cbrt(125)) * 89. 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. $cbrt(125) = 4.99... | ((tan(135) + 49) * cbrt(125)) * 89 | 1495199.9999999998 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((76 / 45) * 10) * 90. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $76 / 45 = 1.6888888888888889$
2. $1.6888888888888889 * 10 = 16.88... | ((76 / 45) * 10) * 90 | 1520 | arithmetic | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cot(45) + 71. 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. $1.0000000000000002 + 71 = 72$
The answ... | cot(45) + 71 | 72 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((21 * 32) * log(5, 5)) * log(29, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(5, 5) = 1$
2. $log(29, 5) = 2.0922185341675$
... | ((21 * 32) * log(5, 5)) * log(29, 5) | 1409.97085496056 | log | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(270) + 64) / 30) / cot(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $cot(45) = 1.0000000000000002$
3. ... | ((sin(270) + 64) / 30) / cot(45) | 2.0999999999999996 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((31 - 5**3) / log(28, 2)) / 83. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**3 = 125$
2. $log(28, 2) = 4.807354922057604$
3. $3... | ((31 - 5**3) / log(28, 2)) / 83 | -0.02141661794259791 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 96 / sqrt(16). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $96 / 4 = 24$
The answer is $24$
3. Drafting the respo... | 96 / sqrt(16) | 24 | power | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(25) - 69) + 42) - sqrt(16). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $sqrt(16) = 4$
3. $5 - 69 = -64$
... | ((sqrt(25) - 69) + 42) - sqrt(16) | -26 | power | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (40 * 27) - 87. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $40 * 27 = 1080$
2. $1080 - 87 = 993$
The answer is $993$
3. Drafting t... | (40 * 27) - 87 | 993 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((56 / 3) - 95) - sec(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(360) = 1$
2. $56 / 3 = 18.666666666666668$
3. $18.6666... | ((56 / 3) - 95) - sec(360) | -77.33333333333333 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(38, 5) / sec(0)) / 68. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(38, 5) = 2.2601593585085435$
2. $sec(0) = 1$
3. $2.260... | (log(38, 5) / sec(0)) / 68 | 0.03323763762512564 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 56 / 49. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $56 / 49 = 1.1428571428571428$
The answer is $1.1428571428571428$
3. Drafting th... | 56 / 49 | 1.1428571428571428 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cbrt(125) / 78. 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 / 78 = 0.0641025641... | cbrt(125) / 78 | 0.0641025641025641 | power | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((81 + 76) / 92) / 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. $81 + 76 = 157$
3. $157 / 92 = 1.7065... | ((81 + 76) / 92) / sqrt(100) | 0.1706521739130435 | power | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(60) * 43) + 6**2) * 88. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(60) = 0.577350269189626$
2. $6**2 = 36$
3. $0.577350... | ((cot(60) * 43) + 6**2) * 88 | 5352.693418613544 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(150) / 20) - 76) * 87. 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. $2.0000000000000004 / 20 ... | ((csc(150) / 20) - 76) * 87 | -6574.3 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(45) + 10. 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 + 10 = 10.70710678118... | sin(45) + 10 | 10.707106781186548 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (48 / 13) / 86. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $48 / 13 = 3.6923076923076925$
2. $3.6923076923076925 / 86 = 0.0429338103... | (48 / 13) / 86 | 0.042933810375670844 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((35 * sin(90)) - sqrt(64)) - 5**2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $sqrt(64) = 8$
3. $5**2 = 25$
4.... | ((35 * sin(90)) - sqrt(64)) - 5**2 | -1.9999999999999996 | mixed | 4 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((54 + 49) * 80) / log(6, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(6, 2) = 2.584962500721156$
2. $54 + 49 = 103$
3. $10... | ((54 + 49) * 80) / log(6, 2) | 3187.6671316126226 | log | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (58 / cbrt(8)) - 55. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $58 / 2 = 29$
3. $29 - 55 = -26$
The answer is ... | (58 / cbrt(8)) - 55 | -26 | power | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(0) - 69) * 88. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $1 - 69 = -68$
3. $-68 * 88 = -5984$
The answer i... | (cos(0) - 69) * 88 | -5984 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((59 + 80) - 9) * 18. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $59 + 80 = 139$
2. $139 - 9 = 130$
3. $130 * 18 = 2340$
The ans... | ((59 + 80) - 9) * 18 | 2340 | arithmetic | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(45) * 24) - 92. 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 * 24 = 16.9705... | (sin(45) * 24) - 92 | -75.02943725152286 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(360) - sqrt(4)) - 58) * sec(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(360) = 1$
2. $sqrt(4) = 2$
3. $sec(30) = 1.... | ((sec(360) - sqrt(4)) - 58) * sec(30) | -68.12733176437584 | mixed | 1 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((44 * 75) - csc(30)) + 36. 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. $sqrt(25) = 5$
3. $44 * 7... | ((44 * 75) - csc(30)) + 36 | 3339 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (30 / 15) - 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. $30 / 15 = 2$
3. $2 - -0.9999... | (30 / 15) - cot(315) | 2.9999999999999996 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((25 * 92) * cbrt(216)) + 76. 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. $25 * 92 = 2300$
3. $2... | ((25 * 92) * cbrt(216)) + 76 | 13793.999999999998 | power | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((50 - 44) / 50) / 24. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $50 - 44 = 6$
2. $6 / 50 = 0.12$
3. $0.12 / 24 = 0.005$
4. $0.... | ((50 - 44) / 50) / 24 | -80.995 | arithmetic | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(30) - 4**4) / 6) * 53. 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. $4**4 = 256$
3. $0.86602... | ((cos(30) - 4**4) / 6) * 53 | -2253.6834422665706 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((59 + 54) + cos(180)) * sin(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $sin(30) = 0.49999999999999994$
3.... | ((59 + 54) + cos(180)) * sin(30) | 55.99999999999999 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((10 * cos(360)) * 41) * csc(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $csc(90) = 1$
3. $log(44, 5) = 2.35... | ((10 * cos(360)) * 41) * csc(90) | 407.64875078144826 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((79 * 48) * 27) + 26. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $79 * 48 = 3792$
2. $3792 * 27 = 102384$
3. $102384 + 26 = 10241... | ((79 * 48) * 27) + 26 | 102410 | arithmetic | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (67 * log(28, 10)) + sin(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(28, 10) = 1.447158031342219$
2. $sin(30) = 0.499999999... | (67 * log(28, 10)) + sin(30) | 97.45958809992867 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((31 / sin(30)) / 2**2) * 95. 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. $2**2 = 4$
3. $31 / 0.... | ((31 / sin(30)) / 2**2) * 95 | 1472.5000000000002 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((7 - cos(45)) - 75) - 77. 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. $tan(30) = 0.577350269189625... | ((7 - cos(45)) - 75) - 77 | -145.12975651199693 | trig | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(18, 2) * 59) + 89) - 15. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(18, 2) = 4.169925001442312$
2. $4.169925001442312 * 5... | ((log(18, 2) * 59) + 89) - 15 | 366.0255750850964 | log | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(60) - 55) / cos(180)) + sec(120). 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. $cos(180) = -1$... | ((sin(60) - 55) / cos(180)) + sec(120) | 52.13397459621556 | trig | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(180) + tan(315). 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(315) = -1.00000000000000... | sin(180) + tan(315) | -1.0000000000000002 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((89 / 6**4) / 59) * sec(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**4 = 1296$
2. $sec(60) = 1.9999999999999996$
3. $89 / ... | ((89 / 6**4) / 59) * sec(60) | 3.002327892864616 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((85 / 100) / 80) - 32. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $85 / 100 = 0.85$
2. $0.85 / 80 = 0.010624999999999999$
3. $0.0... | ((85 / 100) / 80) - 32 | -35.989374999999995 | arithmetic | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(30) - 26) / cbrt(27)) / log(43, 10). 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. $cbrt(27) = ... | ((cot(30) - 26) / cbrt(27)) / log(43, 10) | -31.952233004467047 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(60) - 100. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(60) = 0.5000000000000001$
2. $0.5000000000000001 - 100 = -99.5$
The... | cos(60) - 100 | -99.5 | trig | 3 | 2 |
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