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 / 17) / 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. $31 / 17 = 1.8235294117647058$
3... | (31 / 17) / cos(60) | 3.647058823529411 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(0) / sqrt(16). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $sqrt(16) = 4$
3. $1 / 4 = 0.25$
The answer is $0.... | cos(0) / sqrt(16) | 0.25 | mixed | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (2**4 + 25) * tan(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**4 = 16$
2. $tan(180) = -1.2246467991473532e-16$
3. $16 + 25... | (2**4 + 25) * tan(180) | -5.021051876504148e-15 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (97 * 51) / 37. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $97 * 51 = 4947$
2. $4947 / 37 = 133.7027027027027$
The answer is $133.... | (97 * 51) / 37 | 133.7027027027027 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(60) * 17. 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 = 14.72243186433... | sin(60) * 17 | 14.722431864335457 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((57 - 97) / 59) * 36. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $57 - 97 = -40$
2. $-40 / 59 = -0.6779661016949152$
3. $-0.67796... | ((57 - 97) / 59) * 36 | -24.406779661016948 | arithmetic | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(45) - cbrt(125)) + 6. 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. $cbrt(125) = 4.9999999999999... | (sin(45) - cbrt(125)) + 6 | 1.7071067811865488 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 40 * 49. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $40 * 49 = 1960$
The answer is $1960$
3. Drafting the response: "Ответ на ваш за... | 40 * 49 | 1960 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((56 / sin(30)) / 30) / 79. 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. $56 / 0.49999999999999994 ... | ((56 / sin(30)) / 30) / 79 | 52.04725738396625 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(64) / 70) + csc(210). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $csc(210) = -1.9999999999999996$
3. $8 / ... | (sqrt(64) / 70) + csc(210) | -1.8857142857142852 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 6**4 * cot(135). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**4 = 1296$
2. $cot(135) = -0.9999999999999998$
3. $1296 * -0.999999... | 6**4 * cot(135) | -1295.9999999999998 | mixed | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (36 - 9) - cot(45). 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. $36 - 9 = 27$
3. $27 - 1.00000000... | (36 - 9) - cot(45) | 26 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((39 - sec(30)) - 40) / 18. 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)) - 40) / 18 | 29.880294414534486 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(64) * 12) - 91. 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. $3.9999999999999996 * 12 = 47.99... | (cbrt(64) * 12) - 91 | -43.00000000000001 | power | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((46 + 10) / 40) / 91. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $46 + 10 = 56$
2. $56 / 40 = 1.4$
3. $1.4 / 91 = 0.0153846153846... | ((46 + 10) / 40) / 91 | 0.015384615384615384 | arithmetic | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(100) * tan(360)) + 44) - 33. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $tan(360) = -2.4492935982947064e-... | ((sqrt(100) * tan(360)) + 44) - 33 | 12.999999999999998 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(25) - sin(30)) / 80) - 10. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $sin(30) = 0.49999999999999994$
3. ... | ((sqrt(25) - sin(30)) / 80) - 10 | -9.94375 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(360) - cbrt(216)) - 1) * log(32, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $cbrt(216) = 5.9999999999999... | ((cos(360) - cbrt(216)) - 1) * log(32, 5) | -956.1019589229325 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(225) + 5**2) + 3) / 15. 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. $5**2 = 25$
3. $0.9999... | ((tan(225) + 5**2) + 3) / 15 | -40.06666666666667 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((49 * 96) / 95) / 87. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $49 * 96 = 4704$
2. $4704 / 95 = 49.51578947368421$
3. $49.51578... | ((49 * 96) / 95) / 87 | 0.033479235614390944 | arithmetic | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((90 / 98) * 27) * cot(45). 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. $90 / 98 = 0.91836734693877... | ((90 / 98) * 27) * cot(45) | 24.795918367346946 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 15 / 46. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $15 / 46 = 0.32608695652173914$
The answer is $0.32608695652173914$
3. Drafting ... | 15 / 46 | 0.32608695652173914 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: csc(45) - log(28, 2). 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. $log(28, 2) = 4.807354922057604$
... | csc(45) - log(28, 2) | -3.393141359684509 | mixed | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 49 + log(48, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(48, 2) = 5.584962500721157$
2. $49 + 5.584962500721157 = 54.5849625... | 49 + log(48, 2) | 54.584962500721154 | log | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(120) * sin(90)) - 92) + 87. 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. $sin(90) = 1$
3. $... | ((sec(120) * sin(90)) - 92) + 87 | -7 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(180) - 2**4) + cot(135)) - 65. 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. $2**4 = 16$
... | ((sin(180) - 2**4) + cot(135)) - 65 | -82 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(25) / 43. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $5 / 43 = 0.11627906976744186$
The answer is $0.116279... | sqrt(25) / 43 | 0.11627906976744186 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (21 / 85) * 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. $21 / 85 = 0.24705882352941178$... | (21 / 85) * tan(315) | -0.2470588235294119 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(22, 5) * 18) - 79) - 19. 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 *... | ((log(22, 5) * 18) - 79) - 19 | -63.429692111389315 | log | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 93 - 28. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $93 - 28 = 65$
The answer is $65$
3. Drafting the response: "Ответ на ваш запрос... | 93 - 28 | 65 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((100 + 26) * cot(135)) + tan(45). 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. $tan(45) = 0.99999... | ((100 + 26) * cot(135)) + tan(45) | -124.99999999999997 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((13 / sec(240)) * 25) + sin(180). 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. $sin(180) = 1.2246... | ((13 / sec(240)) * 25) + sin(180) | -187.63883748662852 | trig | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (68 * 32) * log(4, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(4, 3) = 1.2618595071429148$
2. $68 * 32 = 2176$
3. $2176 * ... | (68 * 32) * log(4, 3) | 2745.806287542983 | log | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(360) / sqrt(100)) / sin(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $sqrt(100) = 10$
3. $sin(45) = 0.70... | (cos(360) / sqrt(100)) / sin(45) | 0.1414213562373095 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (81 / log(14, 2)) - 56. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(14, 2) = 3.8073549220576037$
2. $81 / 3.8073549220576037 = 2... | (81 / log(14, 2)) - 56 | -34.72538766198732 | log | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((92 - 6) - cot(45)) / 76. 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. $92 - 6 = 86$
3. $86 - 1.0... | ((92 - 6) - cot(45)) / 76 | 1.118421052631579 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(45) * 15) + 78. 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 * 15 = 10.6066... | (sin(45) * 15) + 78 | 88.60660171779821 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(41, 2) + 74) - tan(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(41, 2) = 5.357552004618084$
2. $tan(0) = 0$
3. $5.3575... | (log(41, 2) + 74) - tan(0) | 79.35755200461809 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (41 - 89) - 17. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $41 - 89 = -48$
2. $-48 - 17 = -65$
The answer is $-65$
3. Drafting the... | (41 - 89) - 17 | -65 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((44 - cos(360)) - 61) * 48. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $44 - 1 = 43$
3. $43 - 61 = -18$
4. $-... | ((44 - cos(360)) - 61) * 48 | -19872 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(180) / 41. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(180) = -1$
2. $-1 / 41 = -0.024390243902439025$
The answer is $-0.0... | sec(180) / 41 | -0.024390243902439025 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(270) - 61) + 32) / 55. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $-1 - 61 = -62$
3. $-62 + 32 = -30$
4... | ((sin(270) - 61) + 32) / 55 | 28.454545454545453 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((36 / cbrt(27)) * log(18, 10)) / log(20, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $log(18, 10) = 1.25527250... | ((36 / cbrt(27)) * log(18, 10)) / log(20, 2) | 3.485312511112531 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(16) - csc(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $csc(60) = 1.1547005383792517$
3. $4 - 1.15470053... | sqrt(16) - csc(60) | 2.8452994616207485 | mixed | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((7 - 20) + 78) - 93. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $7 - 20 = -13$
2. $-13 + 78 = 65$
3. $65 - 93 = -28$
The answer... | ((7 - 20) + 78) - 93 | -28 | arithmetic | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((46 * 74) + sin(90)) * 68. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $46 * 74 = 3404$
3. $3404 + 1 = 3405$
4.... | ((46 * 74) + sin(90)) * 68 | 231568 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(360) - log(19, 3)) - cbrt(27)) - 71. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(360) = 1$
2. $log(19, 3) = 2.680143859246... | ((sec(360) - log(19, 3)) - cbrt(27)) - 71 | -92.68014385924637 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(30) * sec(60)) * sqrt(64)) * 42. 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. $sec(60) = 1.999... | ((csc(30) * sec(60)) * sqrt(64)) * 42 | 1424 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 18 / 9. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $18 / 9 = 2$
The answer is $2$
3. Drafting the response: "Ответ на ваш запрос в р... | 18 / 9 | 2 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((86 + 31) * 57) - cbrt(64). 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. $86 + 31 = 117$
3. $117... | ((86 + 31) * 57) - cbrt(64) | 6665 | power | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 66 / log(20, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(20, 5) = 1.8613531161467862$
2. $66 / 1.8613531161467862 = 35.45807... | 66 / log(20, 5) | 35.458075862911784 | log | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 98 + 58. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $98 + 58 = 156$
The answer is $156$
3. Drafting the response: "Ответ на ваш запр... | 98 + 58 | 156 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(360) / 73) / cos(360)) * 29. 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. $cos(360) = 1$... | ((tan(360) / 73) / cos(360)) * 29 | -9.730070458978971e-17 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(25, 3) + 3) - 81) * cot(135). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(25, 3) = 2.9299470414358537$
2. $cot(135) = -0.9... | ((log(25, 3) + 3) - 81) * cot(135) | 1.4719618227169438 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((32 / cos(180)) * 61) / sqrt(36). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $sqrt(36) = 6$
3. $6**3 = 216$
... | ((32 / cos(180)) * 61) / sqrt(36) | -541.3333333333333 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 11 + 88. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $11 + 88 = 99$
The answer is $99$
3. Drafting the response: "Ответ на ваш запрос... | 11 + 88 | 99 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 28 - 44. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $28 - 44 = -16$
The answer is $-16$
3. Drafting the response: "Ответ на ваш запр... | 28 - 44 | -16 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (74 - sqrt(81)) * cos(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $cos(90) = 6.123233995736766e-17$
3. $74 -... | (74 - sqrt(81)) * cos(90) | 3.980102097228898e-15 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((21 - log(50, 5)) + 61) - 92. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(50, 5) = 2.4306765580733933$
2. $log(6, 5) = 1.113282... | ((21 - log(50, 5)) + 61) - 92 | -13.838857814747296 | log | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: csc(150) + 93. 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. $2.0000000000000004 + 93 = 95$
The an... | csc(150) + 93 | 95 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(16) - 81) / 88) - 40. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $cbrt(216) = 5.999999999999999$
3. $4 - ... | ((sqrt(16) - 81) / 88) - 40 | -6.812500000000001 | power | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(12, 5) + cos(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(12, 5) = 1.5439593106327716$
2. $cos(180) = -1$
3. $1.54395... | log(12, 5) + cos(180) | 0.5439593106327716 | mixed | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 6**4 + cbrt(64). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**4 = 1296$
2. $cbrt(64) = 3.9999999999999996$
3. $1296 + 3.99999999... | 6**4 + cbrt(64) | 1300 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(81) + 82) / cos(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $cos(30) = 0.8660254037844387$
3. $9 + 82 ... | (sqrt(81) + 82) / cos(30) | 105.07774899251189 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(49) - 70) + 81. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $7 - 70 = -63$
3. $-63 + 81 = 18$
The answer ... | (sqrt(49) - 70) + 81 | 18 | power | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 72 / 7. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $72 / 7 = 10.285714285714286$
The answer is $10.285714285714286$
3. Drafting the ... | 72 / 7 | 10.285714285714286 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (26 * tan(180)) * 1. 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. $26 * -1.2246467991473532e-1... | (26 * tan(180)) * 1 | -3.184081677783118e-15 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((65 - 52) - 28) - tan(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(60) = 1.7320508075688767$
2. $sqrt(9) = 3$
3. $65 - 52... | ((65 - 52) - 28) - tan(60) | -50.196152422706625 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 81 - cos(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(45) = 0.7071067811865476$
2. $81 - 0.7071067811865476 = 80.29289321881... | 81 - cos(45) | 80.29289321881345 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((16 / 30) + csc(210)) * cot(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(210) = -1.9999999999999996$
2. $cot(45) = 1.000000... | ((16 / 30) + csc(210)) * cot(45) | -1.4666666666666666 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 23 / 40. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $23 / 40 = 0.575$
The answer is $0.575$
3. Drafting the response: "Ответ на ваш ... | 23 / 40 | 0.575 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (23 + 6**2) - 5. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**2 = 36$
2. $23 + 36 = 59$
3. $59 - 5 = 54$
The answer is $54$
3.... | (23 + 6**2) - 5 | 54 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(225) + 92) / 100) * 10. 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. $1.0000000000000004 + 92... | ((cot(225) + 92) / 100) * 10 | 9.3 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((43 * 83) + log(36, 2)) - 28. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(36, 2) = 5.169925001442312$
2. $43 * 83 = 3569$
3. ... | ((43 * 83) + log(36, 2)) - 28 | 47.282265666685895 | log | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(16) / 11) * sqrt(64)) * cbrt(216). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $sqrt(64) = 8$
3. $cbrt(216... | ((sqrt(16) / 11) * sqrt(64)) * cbrt(216) | 109.45454545454545 | power | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 11 + cos(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $11 + 1 = 12$
The answer is $12$
3. Drafting the response:... | 11 + cos(0) | 12 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (37 - 86) - 41. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $37 - 86 = -49$
2. $-49 - 41 = -90$
The answer is $-90$
3. Drafting the... | (37 - 86) - 41 | -90 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((41 + sqrt(81)) / 40) + log(33, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $log(33, 2) = 5.044394119358453$
... | ((41 + sqrt(81)) / 40) + log(33, 2) | -40.70560588064155 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((15 + sin(30)) + cos(90)) + log(7, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(30) = 0.49999999999999994$
2. $cos(90) = 6.1... | ((15 + sin(30)) + cos(90)) + log(7, 3) | 0.34542487498322844 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(225) * 83) * sqrt(64)) + 16. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(225) = 0.9999999999999997$
2. $sqrt(64) = 8$
3.... | ((tan(225) * 83) * sqrt(64)) + 16 | 679.9999999999998 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(30) * sin(60). 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. $sin(60) = 0.8660254037844386$
3. ... | cos(30) * sin(60) | 0.75 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((85 + log(11, 5)) - log(34, 5)) - 56. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(11, 5) = 1.4898961024049782$
2. $log(34, 5) =... | ((85 + log(11, 5)) - log(34, 5)) - 56 | 0.3215777854160114 | log | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((45 * 98) / 97) + log(41, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(41, 3) = 3.380238966019955$
2. $45 * 98 = 4410$
3. ... | ((45 * 98) / 97) + log(41, 3) | 48.84415649179315 | log | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((10 / 67) / 10) * 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. $10 / 67 = 0.14925373134328357$
3. $0.1492... | ((10 / 67) / 10) * sin(90) | 0.0006489292667099286 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(360) + log(32, 10)) - 32) + cot(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(360) = 1$
2. $log(32, 10) = 1.5051499783... | ((sec(360) + log(32, 10)) - 32) + cot(270) | -107.4948500216801 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (4**3 + 15) - tan(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**3 = 64$
2. $tan(30) = 0.5773502691896257$
3. $64 + 15 = 79$
... | (4**3 + 15) - tan(30) | 78.42264973081038 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (8 - cbrt(64)) / log(35, 5). 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(35, 5) = 2.209061955... | (8 - cbrt(64)) / log(35, 5) | 1.8107233211477711 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((54 - 71) + 17) + cos(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $54 - 71 = -17$
3. $-17 + 17 = 0$
4. $... | ((54 - 71) + 17) + cos(360) | 13 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((8 / 70) + 11) / 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. $8 / 70 = 0.11428571428571428$
3. $0.1... | ((8 / 70) + 11) / sqrt(100) | 45.56857142857143 | power | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((6**3 / log(32, 5)) / 68) - 83. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**3 = 216$
2. $log(32, 5) = 2.1533827903669653$
3. $... | ((6**3 / log(32, 5)) / 68) - 83 | -70.60262815339787 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 67 - cbrt(27). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $67 - 3 = 64$
The answer is $64$
3. Drafting the respo... | 67 - cbrt(27) | 64 | power | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 94 * 68. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $94 * 68 = 6392$
The answer is $6392$
3. Drafting the response: "Ответ на ваш за... | 94 * 68 | 6392 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((52 + 69) * 59) / 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. $52 + 69 = 121$
3. $12... | ((52 + 69) * 59) / log(6, 2) | 2761.7421908473925 | log | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(315) * 85) / 77) / log(45, 10). 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. $log(45, 10) = ... | ((cot(315) * 85) / 77) / log(45, 10) | -0.6677278902124937 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(0) * 29. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $1 * 29 = 29$
The answer is $29$
3. Drafting the response:... | cos(0) * 29 | 29 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 100 - 56. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $100 - 56 = 44$
The answer is $44$
3. Drafting the response: "Ответ на ваш запр... | 100 - 56 | 44 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((80 - sin(270)) - cbrt(64)) + 51. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $cbrt(64) = 3.9999999999999996$
3... | ((80 - sin(270)) - cbrt(64)) + 51 | 133 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((61 / log(35, 10)) / 26) + tan(0). 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. $tan(0) = 0$
... | ((61 / log(35, 10)) / 26) + tan(0) | 1.5194627301163262 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(32, 5) * 50) - 4**2) * 61. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(32, 5) = 2.1533827903669653$
2. $4**2 = 16$
3. $2... | ((log(32, 5) * 50) - 4**2) * 61 | 5591.817510619244 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (88 / 81) - 86. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $88 / 81 = 1.0864197530864197$
2. $1.0864197530864197 - 86 = -84.91358024... | (88 / 81) - 86 | -84.91358024691358 | arithmetic | 1 | 2 |
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