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: (78 / 5**4) * 46. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**4 = 625$
2. $78 / 625 = 0.1248$
3. $0.1248 * 46 = 5.7408$
The a... | (78 / 5**4) * 46 | 5.7408 | power | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(90) / 6) / 33) * sqrt(25). 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. $sqrt(25) = 5$
3.... | ((cot(90) / 6) / 33) * sqrt(25) | 1.5462712110446377e-18 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 49 + log(22, 3). 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. $49 + 2.8135880922155954 = 51.81358... | 49 + log(22, 3) | 51.813588092215596 | log | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((21 / 23) + sin(270)) / 11. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $21 / 23 = 0.9130434782608695$
3. $0.91... | ((21 / 23) + sin(270)) / 11 | -0.007905138339920953 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 51 / 95. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $51 / 95 = 0.5368421052631579$
The answer is $0.5368421052631579$
3. Drafting th... | 51 / 95 | 0.5368421052631579 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(43, 2) / 34) / 59) - 82. 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. $5.426264754702098 / 3... | ((log(43, 2) / 34) / 59) - 82 | -81.99729498267463 | log | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(64) + 49. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $8 + 49 = 57$
The answer is $57$
3. Drafting the respo... | sqrt(64) + 49 | 57 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (3**4 / 67) / 11. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**4 = 81$
2. $81 / 67 = 1.208955223880597$
3. $1.208955223880597 / ... | (3**4 / 67) / 11 | 0.10990502035278155 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (19 * 11) / 71. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $19 * 11 = 209$
2. $209 / 71 = 2.943661971830986$
The answer is $2.9436... | (19 * 11) / 71 | 2.943661971830986 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (32 + 46) * 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. $32 + 46 = 78$
3. $78 * 4.999... | (32 + 46) * cbrt(125) | 389.99999999999994 | power | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((53 / sqrt(64)) / log(21, 2)) - log(42, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $log(21, 2) = 4.392317422... | ((53 / sqrt(64)) / log(21, 2)) - log(42, 10) | 0.114933892780587 | mixed | 4 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (3**2 + 90) * 80. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**2 = 9$
2. $9 + 90 = 99$
3. $99 * 80 = 7920$
The answer is $7920... | (3**2 + 90) * 80 | 7920 | power | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((35 + cos(60)) - 36) * sec(30). 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. $sec(30) = 1.154700538... | ((35 + cos(60)) - 36) * sec(30) | 55.42264973081038 | trig | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((14 * 20) / sqrt(4)) - 28. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $log(35, 10) = 1.5440680443502754$
3. $14 ... | ((14 * 20) / sqrt(4)) - 28 | 172.93562096723085 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cot(90) / 98) * 88. 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 / 98 = 6... | (cot(90) / 98) * 88 | 5.498414200253423e-17 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(22, 5) + 94) * 71. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(22, 5) = 1.9205726604783713$
2. $1.9205726604783713 + 94 = 9... | (log(22, 5) + 94) * 71 | 6810.360658893965 | log | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(360) + cot(90)) + 82) * 64. 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. $cot(90) = 6.12... | ((sin(360) + cot(90)) + 82) * 64 | 5248 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (10 * cbrt(125)) / 55. 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. $10 * 4.999999999999999 = 49.99... | (10 * cbrt(125)) / 55 | 0.909090909090909 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 21 * 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. $21 * -0.9999999999999998 = -20.999999... | 21 * cot(135) | -20.999999999999996 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((4**3 / 26) / sqrt(36)) * 12. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**3 = 64$
2. $sqrt(36) = 6$
3. $64 / 26 = 2.4615384615... | ((4**3 / 26) / sqrt(36)) * 12 | -59.07692307692308 | power | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (23 * 42) * sec(120). 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. $23 * 42 = 966$
3. $966 * -2.0... | (23 * 42) * sec(120) | -1932.000000000001 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (33 * 87) + 39. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $33 * 87 = 2871$
2. $2871 + 39 = 2910$
The answer is $2910$
3. Drafting... | (33 * 87) + 39 | 2910 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((37 * sqrt(16)) * 35) / 5. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $37 * 4 = 148$
3. $148 * 35 = 5180$
4. ... | ((37 * sqrt(16)) * 35) / 5 | 1036 | power | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((23 - tan(45)) / 34) / 5. 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. $23 - 0.9999999999999999 = 2... | ((23 - tan(45)) / 34) / 5 | 69.12941176470588 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((22 * sin(90)) / sin(60)) / csc(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. $sin(60) = 0.8660254037844386$
3... | ((22 * sin(90)) / sin(60)) / csc(90) | 2235.500242302231 | trig | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(27) / tan(315)) / sqrt(4). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $tan(315) = -1.0000000000000004$
3. ... | (cbrt(27) / tan(315)) / sqrt(4) | -1.4999999999999993 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (58 - sec(0)) + 60. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(0) = 1$
2. $58 - 1 = 57$
3. $57 + 60 = 117$
The answer is $1... | (58 - sec(0)) + 60 | 117 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(0) + 21. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(0) = 1$
2. $1 + 21 = 22$
The answer is $22$
3. Drafting the response:... | sec(0) + 21 | 22 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((83 + 51) / 9) * 68. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $83 + 51 = 134$
2. $134 / 9 = 14.88888888888889$
3. $14.888888888... | ((83 + 51) / 9) * 68 | 1085.4444444444443 | arithmetic | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (34 * log(19, 10)) - 5**4. 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. $5**4 = 625$
3. $34 * ... | (34 * log(19, 10)) - 5**4 | -581.5223775676038 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(36) / 37) - log(14, 3)) - 35. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $log(14, 3) = 2.402173502732879$
... | ((sqrt(36) / 37) - log(14, 3)) - 35 | -37.24001134057072 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(360) * 4) - cos(30). 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. $cos(30) = 0.8660254037... | (tan(360) * 4) - cos(30) | -0.8660254037844397 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 59 - 15. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $59 - 15 = 44$
The answer is $44$
3. Drafting the response: "Ответ на ваш запрос... | 59 - 15 | 44 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(30) / 6) * sqrt(64). 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. $sqrt(64) = 8$
3. $0.49999... | (sin(30) / 6) * sqrt(64) | 0.6666666666666666 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(180) + 42) * 55) * 12. 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(180) = -1.224646... | ((sin(180) + 42) * 55) * 12 | 27720 | trig | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(0) - 60) * 68. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(0) = 0$
2. $0 - 60 = -60$
3. $-60 * 68 = -4080$
The answer i... | (tan(0) - 60) * 68 | -4080 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(125) + 33) / 70. 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. $4.999999999999999 + 33 = 38$
... | (cbrt(125) + 33) / 70 | 0.5428571428571428 | power | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (36 - cot(135)) * 15. 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. $36 - -0.9999999999999998 = 37$... | (36 - cot(135)) * 15 | 555 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((15 * cbrt(64)) / log(16, 2)) / 16. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(64) = 3.9999999999999996$
2. $log(16, 2) = 4$
... | ((15 * cbrt(64)) / log(16, 2)) / 16 | -47.0625 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (csc(45) / 23) - cos(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(45) = 1.414213562373095$
2. $cos(60) = 0.5000000000000001$... | (csc(45) / 23) - cos(60) | -0.43851245380986553 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((3**4 * 79) + csc(210)) / 81. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**4 = 81$
2. $csc(210) = -1.9999999999999996$
3. $81 *... | ((3**4 * 79) + csc(210)) / 81 | 78.9753086419753 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (24 * sqrt(25)) * 74. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $24 * 5 = 120$
3. $120 * 74 = 8880$
The answe... | (24 * sqrt(25)) * 74 | 8880 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 34 * 16. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $34 * 16 = 544$
The answer is $544$
3. Drafting the response: "Ответ на ваш запр... | 34 * 16 | 544 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(4) * 42) + 100) * 3**2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $3**2 = 9$
3. $2 * 42 = 84$
4. $84 + ... | ((sqrt(4) * 42) + 100) * 3**2 | 1656 | power | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (36 - csc(90)) + 8. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(90) = 1$
2. $36 - 1 = 35$
3. $35 + 8 = 43$
The answer is $43... | (36 - csc(90)) + 8 | 43 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 65 - 41. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $65 - 41 = 24$
The answer is $24$
3. Drafting the response: "Ответ на ваш запрос... | 65 - 41 | 24 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 78 / sec(45). 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. $78 / 1.414213562373095 = 55.1543289325507... | 78 / sec(45) | 55.15432893255071 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (28 + 45) + 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. $28 + 45 = 73$
3. $73 + 5.999... | (28 + 45) + cbrt(216) | 79 | power | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(90) * tan(180)) + 93) / 54. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(90) = 1$
2. $tan(180) = -1.2246467991473532e-16$
... | ((csc(90) * tan(180)) + 93) / 54 | 1.7222222222222223 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((99 / sec(120)) / 61) - 26. 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. $99 / -2.000000000000001 ... | ((99 / sec(120)) / 61) - 26 | -20.811475409836063 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (4 / 92) + 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. $4 / 92 = 0.043478260869565216$
3. $0.043478260869... | (4 / 92) + sin(90) | 1.0434782608695652 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (2**4 - csc(60)) + 45. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**4 = 16$
2. $csc(60) = 1.1547005383792517$
3. $16 - 1.1547005... | (2**4 - csc(60)) + 45 | 59.84529946162075 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(125) * 18) - 28. 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 * 18 = 89.99... | (cbrt(125) * 18) - 28 | 61.999999999999986 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (24 + 3) / 53. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $24 + 3 = 27$
2. $27 / 53 = 0.5094339622641509$
The answer is $0.5094339... | (24 + 3) / 53 | 0.5094339622641509 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 25 - log(37, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(37, 2) = 5.20945336562895$
2. $25 - 5.20945336562895 = 19.790546634... | 25 - log(37, 2) | 19.79054663437105 | log | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (2**2 - tan(180)) + 33. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**2 = 4$
2. $tan(180) = -1.2246467991473532e-16$
3. $4 - -1.2... | (2**2 - tan(180)) + 33 | 37 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((39 - cos(60)) / 89) * 22. 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. $39 - 0.5000000000000001 = ... | ((39 - cos(60)) / 89) * 22 | 9.51685393258427 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((96 / 1) * 25) - 15. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $96 / 1 = 96$
2. $96 * 25 = 2400$
3. $2400 - 15 = 2385$
The ans... | ((96 / 1) * 25) - 15 | 2385 | arithmetic | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(30) * 30) - 14) + 9. 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. $1.7320508075688774 * 30 = 5... | ((cot(30) * 30) - 14) + 9 | 46.96152422706632 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(90) + 64) - 86. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(90) = 6.123233995736766e-17$
2. $6.123233995736766e-17 + 64 = 6... | (cos(90) + 64) - 86 | -22 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((26 + sqrt(9)) - log(12, 3)) - cbrt(216). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $log(12, 3) = 2.2618595071429... | ((26 + sqrt(9)) - log(12, 3)) - cbrt(216) | 20.738140492857084 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(37, 3) - 86. 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. $3.2867991282182727 - 86 = -82.7132... | log(37, 3) - 86 | -82.71320087178172 | log | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(4) - csc(210)) / 72) / 20. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $csc(210) = -1.9999999999999996$
3. ... | ((sqrt(4) - csc(210)) / 72) / 20 | -8.997222222222222 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((24 + 21) / 83) + 18. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $24 + 21 = 45$
3. $45 / 83 = 0.542168674698795... | ((24 + 21) / 83) + 18 | 10.542168674698797 | power | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (8 + log(16, 3)) / 52. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(16, 3) = 2.5237190142858297$
2. $8 + 2.5237190142858297 = 10.... | (8 + log(16, 3)) / 52 | 0.20237921181318902 | log | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(49) / log(26, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $log(26, 2) = 4.700439718141093$
3. $7 / 4.700... | sqrt(49) / log(26, 2) | 1.489222374873542 | mixed | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(24, 5) / 28) / 16) * 28. 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. $1.9746358687061647 /... | ((log(24, 5) / 28) / 16) * 28 | 0.12341474179413528 | log | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((25 + 68) / 33) * 44. 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. $25 + 68 = 93$
3. $93 / 33 = 2... | ((25 + 68) / 33) * 44 | 124.70710678118655 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((53 / cbrt(8)) - sqrt(25)) * 70. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $sqrt(25) = 5$
3. $sqrt(64) = 8$
4... | ((53 / cbrt(8)) - sqrt(25)) * 70 | 1497 | power | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(9) - 7) - 3**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $3**3 = 27$
3. $3 - 7 = -4$
4. $-4 - 27 = -31$... | (sqrt(9) - 7) - 3**3 | -31 | power | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(0) / log(10, 3)) * log(12, 5)) + tan(225). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(0) = 1$
2. $log(10, 3) = 2.09590327... | ((sec(0) / log(10, 3)) * log(12, 5)) + tan(225) | 0.5020061082199675 | mixed | 2 | 9 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((27 / 76) * 13) / 41. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $27 / 76 = 0.35526315789473684$
2. $0.35526315789473684 * 13 = 4.6... | ((27 / 76) * 13) / 41 | 0.11264441591784338 | arithmetic | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 9 + 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. $9 + 0 = 9$
The answer is $9$
3. Drafting the response: "От... | 9 + tan(0) | 9 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((39 - sec(30)) * 83) / 62. 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. $39 - 1.1547005383792515 = ... | ((39 - sec(30)) * 83) / 62 | 50.6638686341052 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 66 + cos(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $66 + -1 = 65$
The answer is $65$
3. Drafting the res... | 66 + cos(180) | 65 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(16, 2) + 43) * 67) - 93. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(16, 2) = 4$
2. $4 + 43 = 47$
3. $47 * 67 = 3149$
... | ((log(16, 2) + 43) * 67) - 93 | 3056 | log | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((35 - log(17, 3)) + 30) * tan(225). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(17, 3) = 2.5789019231625656$
2. $tan(225) = 0.9... | ((35 - log(17, 3)) + 30) * tan(225) | -33.57890192316259 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 13 * 47. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $13 * 47 = 611$
The answer is $611$
3. Drafting the response: "Ответ на ваш запр... | 13 * 47 | 611 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (4**2 - 66) + 10. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**2 = 16$
2. $16 - 66 = -50$
3. $-50 + 10 = -40$
The answer is $-... | (4**2 - 66) + 10 | -40 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(30) - sin(30)) * sqrt(9)) * csc(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(30) = 1.7320508075688774$
2. $sin(30) = 0... | ((cot(30) - sin(30)) * sqrt(9)) * csc(90) | 0.057752381604791125 | mixed | 2 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (72 * sqrt(16)) * 4**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. $4**2 = 16$
3. $72 * 4 = 288$
4. $288 * 16 ... | (72 * sqrt(16)) * 4**2 | 4608 | power | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((37 + 24) + log(35, 10)) + 29. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(35, 10) = 1.5440680443502754$
2. $log(45, 2) = 5.491... | ((37 + 24) + log(35, 10)) + 29 | 86.05221494802059 | log | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(315) - 5**4) - 19) - sqrt(25). 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. $5**4 = 625$
3... | ((tan(315) - 5**4) - 19) - sqrt(25) | -650 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(60) - sqrt(4)) * log(9, 5)) * sqrt(36). 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. $sqrt(4) ... | ((cos(60) - sqrt(4)) * log(9, 5)) * sqrt(36) | 0 | mixed | 3 | 9 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(135) * 99) + 8) + log(44, 2). 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. $log(44, 2) = 5.4... | ((tan(135) * 99) + 8) + log(44, 2) | -85.54056838136273 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(36) + sec(0)) * csc(30)) + 7. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $sec(0) = 1$
3. $csc(30) = 2.000... | ((sqrt(36) + sec(0)) * csc(30)) + 7 | 1827.0000000000002 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(270) - 65) - cot(45)) + log(16, 5). 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. $cot(45... | ((cos(270) - 65) - cot(45)) + log(16, 5) | -21.425764589235474 | mixed | 4 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((78 - log(32, 2)) - 39) / csc(210). 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. $csc(210) = -1.9999999999999996$... | ((78 - log(32, 2)) - 39) / csc(210) | -13.000000000000004 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((50 / 90) - cos(180)) * csc(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $csc(90) = 1$
3. $50 / 90 = 0.5555... | ((50 / 90) - cos(180)) * csc(90) | 0.02681992337164751 | trig | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(270) / 27) * tan(45)) - 98. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $tan(45) = 0.9999999999999999$
3. ... | ((sin(270) / 27) * tan(45)) - 98 | -56.60170972388664 | trig | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((73 - sin(60)) * cos(0)) + 86. 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. $cos(0) = 1$
3. $73 -... | ((73 - sin(60)) * cos(0)) + 86 | 224.13397459621558 | trig | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 38 / 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. $38 / 7 = 5.428571428571429$
The answer is $5.42857142... | 38 / sqrt(49) | 5.428571428571429 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 98 - 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. $98 - 0.9999999999999997 = 97$
The an... | 98 - tan(225) | 97 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((95 + 78) + 2) * 43. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $95 + 78 = 173$
2. $173 + 2 = 175$
3. $175 * 43 = 7525$
The ans... | ((95 + 78) + 2) * 43 | 7525 | arithmetic | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(35, 10) * 19. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(35, 10) = 1.5440680443502754$
2. $1.5440680443502754 * 19 = 29.337... | log(35, 10) * 19 | 29.337292842655234 | log | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((94 * 41) / 83) - 52. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $94 * 41 = 3854$
2. $3854 / 83 = 46.433734939759034$
3. $46.4337... | ((94 * 41) / 83) - 52 | -100.19277108433738 | arithmetic | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 3 * 14. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3 * 14 = 42$
The answer is $42$
3. Drafting the response: "Ответ на ваш запрос в... | 3 * 14 | 42 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((59 + 57) - 99) + log(32, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(32, 3) = 3.154648767857287$
2. $tan(315) = -1.0000000... | ((59 + 57) - 99) + log(32, 3) | -20.1546487678573 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((61 + sqrt(64)) * 26) / 100. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $log(44, 2) = 5.459431618637297$
3. $61... | ((61 + sqrt(64)) * 26) / 100 | 3.286056361390587 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (67 * 41) - 3**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**3 = 27$
2. $67 * 41 = 2747$
3. $2747 - 27 = 2720$
The answer is... | (67 * 41) - 3**3 | 2720 | power | 5 | 3 |
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