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: (cbrt(8) * sin(270)) * 80. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $sin(270) = -1$
3. $2 * -1 = -2$
4. $-2 *... | (cbrt(8) * sin(270)) * 80 | -160 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (91 / cos(45)) * 57. 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. $91 / 0.7071067811865476 = 128.693... | (91 / cos(45)) * 57 | 7335.525748029243 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 13 / 5. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $13 / 5 = 2.6$
The answer is $2.6$
3. Drafting the response: "Ответ на ваш запрос... | 13 / 5 | 2.6 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(44, 5) + tan(315). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(44, 5) = 2.3512492185517644$
2. $tan(315) = -1.00000000000000... | log(44, 5) + tan(315) | 1.351249218551764 | mixed | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(30) - 44) + 88) + 100. 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. $1.1547005383792515 - 44 =... | ((sec(30) - 44) + 88) + 100 | 7257.735026918962 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((20 * 37) * 32) / 79. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $20 * 37 = 740$
2. $740 * 32 = 23680$
3. $23680 / 79 = 299.74683... | ((20 * 37) * 32) / 79 | 299.746835443038 | arithmetic | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (csc(90) - sin(90)) - 62. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(90) = 1$
2. $sin(90) = 1$
3. $1 - 1 = 0$
4. $0 - 62 = ... | (csc(90) - sin(90)) - 62 | -62 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 76 / 76. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $76 / 76 = 1$
The answer is $1$
3. Drafting the response: "Ответ на ваш запрос в... | 76 / 76 | 1 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((73 / cos(360)) + 52) / 46. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $73 / 1 = 73$
3. $73 + 52 = 125$
4. $1... | ((73 / cos(360)) + 52) / 46 | 2.717391304347826 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((54 - sin(30)) - 81) / tan(45). 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. $tan(45) = 0.99999999... | ((54 - sin(30)) - 81) / tan(45) | -27.500000000000004 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((23 + 76) + 90) * 88. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $23 + 76 = 99$
2. $99 + 90 = 189$
3. $189 * 88 = 16632$
4. $16... | ((23 + 76) + 90) * 88 | 16602 | arithmetic | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (95 * 86) * 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. $95 * 86 = 8170$
3. $8170... | (95 * 86) * sin(360) | -2.0010728698067752e-12 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (37 - 78) / log(26, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(26, 5) = 2.0243691992404753$
2. $37 - 78 = -41$
3. $-41 / ... | (37 - 78) / log(26, 5) | -20.253222591700577 | log | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 64 * 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. $64 * 4.999999999999999 = 319.99999999... | 64 * cbrt(125) | 319.99999999999994 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((80 * 75) - sec(120)) - 67. 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. $80 * 75 = 6000$
3. $60... | ((80 * 75) - sec(120)) - 67 | 5935 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(10, 10) / log(37, 10)) - cot(315). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(10, 10) = 1$
2. $log(37, 10) = 1.56820172406... | (log(10, 10) / log(37, 10)) - cot(315) | 1.6376730650484086 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (63 - 44) / 47. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $63 - 44 = 19$
2. $19 / 47 = 0.40425531914893614$
The answer is $0.4042... | (63 - 44) / 47 | 0.40425531914893614 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(225) + 23) * sqrt(9)) - cbrt(64). 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. $sqrt(9) = 3$
... | ((tan(225) + 23) * sqrt(9)) - cbrt(64) | -27 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(8) + 29) - 91) + 9. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $2 + 29 = 31$
3. $31 - 91 = -60$
4. $-60 ... | ((cbrt(8) + 29) - 91) + 9 | -51 | power | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (56 * sqrt(4)) / sqrt(49). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $sqrt(49) = 7$
3. $56 * 2 = 112$
4. $112 ... | (56 * sqrt(4)) / sqrt(49) | 16 | power | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 32 / 6**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**3 = 216$
2. $32 / 216 = 0.14814814814814814$
The answer is $0.1481481481... | 32 / 6**3 | 0.14814814814814814 | power | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(8) * 1) + log(12, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $log(12, 10) = 1.0791812460476247$
3. $2 ... | (cbrt(8) * 1) + log(12, 10) | 3.0791812460476247 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((20 - 69) / 30) + 72. 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. $20 - 69 = -49$
3. $-49 ... | ((20 - 69) / 30) + 72 | -1.2926146965000311e-14 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (56 / 17) + 11. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $56 / 17 = 3.2941176470588234$
2. $3.2941176470588234 + 11 = 14.294117647... | (56 / 17) + 11 | 14.294117647058822 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (30 * cos(360)) - 4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $30 * 1 = 30$
3. $30 - 4 = 26$
The answer is $... | (30 * cos(360)) - 4 | 26 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 96 + 37. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $96 + 37 = 133$
The answer is $133$
3. Drafting the response: "Ответ на ваш запр... | 96 + 37 | 133 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(30) - 19) / 72) / 68. 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. $tan(30) = 0.57735026918962... | ((csc(30) - 19) / 72) / 68 | -0.006014065304058602 | trig | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(81) * 52. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $9 * 52 = 468$
The answer is $468$
3. Drafting the res... | sqrt(81) * 52 | 468 | power | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((70 / log(6, 3)) + 64) - csc(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(6, 3) = 1.6309297535714573$
2. $csc(30) = 2.00000... | ((70 / log(6, 3)) + 64) - csc(30) | 106.65235430115096 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((70 * 28) / 73) - 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. $70 * 28 = 1960$
3. $1960 / 73 = 26.84931506849... | ((70 * 28) / 73) - 3**3 | -0.005022831050228286 | power | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((16 / csc(210)) - 40) + sqrt(4). 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. $sqrt(4) = 2$
3. ... | ((16 / csc(210)) - 40) + sqrt(4) | -46 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((98 * 77) - 7) / 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. $98 * 77 = 7546$
3. $7546 ... | ((98 * 77) - 7) / cos(60) | 15077.999999999996 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(360) + cos(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. $cos(270) = -1.8369701987210297e-16$
3. $1 + -1.... | sec(360) + cos(270) | 0.9999999999999998 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(270) + log(48, 10)) - csc(90)) * 77. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $log(48, 10) = 1.6812412373... | ((sin(270) + log(48, 10)) - csc(90)) * 77 | -79.54442472207978 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(90) - 12) + cos(90)) + 11. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $cos(90) = 6.123233995736766e-17$
3. ... | ((sin(90) - 12) + cos(90)) + 11 | 0 | trig | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(100) * 9) - 67. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $10 * 9 = 90$
3. $90 - 67 = 23$
The answer ... | (sqrt(100) * 9) - 67 | 23 | power | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(315) - sqrt(16)) + 69. 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. $sqrt(16) = 4$
3. $-1.0... | (tan(315) - sqrt(16)) + 69 | 64 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 32 + sin(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $32 + 0 = 32$
The answer is $32$
3. Drafting the response:... | 32 + sin(0) | 32 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((38 - 85) * 84) * 95. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $38 - 85 = -47$
2. $-47 * 84 = -3948$
3. $-3948 * 95 = -375060$
... | ((38 - 85) * 84) * 95 | -375060 | arithmetic | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((85 - 65) * 54) + 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. $sqrt(16) = 4$
3. $85 -... | ((85 - 65) * 54) + cbrt(64) | 1080 | power | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(64) + 33) / 78. 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. $3.9999999999999996 + 33 = 37$
... | (cbrt(64) + 33) / 78 | 0.47435897435897434 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 48 * 28. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $48 * 28 = 1344$
The answer is $1344$
3. Drafting the response: "Ответ на ваш за... | 48 * 28 | 1344 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 15 - 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. $15 - -0.9999999999999998 = 16$
The ... | 15 - cot(135) | 16 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 53 * 13. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $53 * 13 = 689$
The answer is $689$
3. Drafting the response: "Ответ на ваш запр... | 53 * 13 | 689 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(90) - 47) + cbrt(8)) * 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. $cbrt(8) = 2$
3. ... | ((cos(90) - 47) + cbrt(8)) * 85 | -3825 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (42 - 39) * 69. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $42 - 39 = 3$
2. $3 * 69 = 207$
The answer is $207$
3. Drafting the res... | (42 - 39) * 69 | 207 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (60 * sqrt(49)) * 47. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $60 * 7 = 420$
3. $420 * 47 = 19740$
The answ... | (60 * sqrt(49)) * 47 | 19740 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(2, 2) * 70) - 22. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(2, 2) = 1$
2. $1 * 70 = 70$
3. $70 - 22 = 48$
The answer ... | (log(2, 2) * 70) - 22 | 48 | log | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(30) - 57) + 2) - cbrt(125). 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. $cbrt(125) = 4.999999... | ((csc(30) - 57) + 2) - cbrt(125) | -2.1481481481481484 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(17, 3) / 16) * 15. 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. $2.5789019231625656 / 16 = 0... | (log(17, 3) / 16) * 15 | 2.417720552964905 | log | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(64) + 84) / cbrt(125). 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. $cbrt(125) = 4.9999999999... | (cbrt(64) + 84) / cbrt(125) | 17.6 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(30) * 66. 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. $0.8660254037844387 * 66 = 57.15767664977... | cos(30) * 66 | 57.15767664977295 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(360) / 90) + 28) - 39. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(360) = -2.4492935982947064e-16$
2. $-2.4492935982947064... | ((tan(360) / 90) + 28) - 39 | 62 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((35 + 4**3) - cbrt(125)) + 80. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**3 = 64$
2. $cbrt(125) = 4.999999999999999$
3. $35 +... | ((35 + 4**3) - cbrt(125)) + 80 | 174 | power | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(90) - sin(180)) / 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. $sin(180) = 1.2246467991473532e-16$
3. $1 -... | (sin(90) - sin(180)) / 68 | 0.014705882352941175 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(9) / 93) / 39) * 56. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $3 / 93 = 0.03225806451612903$
3. $0.03225... | ((sqrt(9) / 93) / 39) * 56 | 0.0011579818031430935 | power | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(90) / sqrt(64)) + 75. 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. $1 / 8 = 0.125$
4. $0.1... | (sin(90) / sqrt(64)) + 75 | 75.125 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((13 * sin(45)) / 11) / sqrt(100). 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. $sqrt(100) = 10$
3... | ((13 * sin(45)) / 11) / sqrt(100) | 0.08356716504931927 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(4) / 79. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $2 / 79 = 0.02531645569620253$
The answer is $0.02531645... | sqrt(4) / 79 | 0.02531645569620253 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((28 / 57) - 97) - 1. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $28 / 57 = 0.49122807017543857$
2. $0.49122807017543857 - 97 = -96.... | ((28 / 57) - 97) - 1 | -97.50877192982456 | arithmetic | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (1 + 50) - 27. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $1 + 50 = 51$
2. $51 - 27 = 24$
The answer is $24$
3. Drafting the respo... | (1 + 50) - 27 | 24 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (77 + 6**4) / tan(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**4 = 1296$
2. $tan(30) = 0.5773502691896257$
3. $77 + 1296 = ... | (77 + 6**4) / tan(30) | 2378.1057587920686 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(60) / 53) * cos(270)) + 5**4. 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(270) = -1.8369... | ((sin(60) / 53) * cos(270)) + 5**4 | 625 | mixed | 4 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(270) + sqrt(4)) - 30) - 38. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $sqrt(4) = 2$
3. $-1 + 2 = 1$
4.... | ((sin(270) + sqrt(4)) - 30) - 38 | -67 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 7 / 99. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $7 / 99 = 0.0707070707070707$
The answer is $0.0707070707070707$
3. Drafting the ... | 7 / 99 | 0.0707070707070707 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (5**3 + 18) - cbrt(64). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**3 = 125$
2. $cbrt(64) = 3.9999999999999996$
3. $125 + 18 = ... | (5**3 + 18) - cbrt(64) | 139 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 3**2 - 92. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**2 = 9$
2. $9 - 92 = -83$
The answer is $-83$
3. Drafting the response: "... | 3**2 - 92 | -83 | power | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (11 + cbrt(125)) + 6. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(125) = 4.999999999999999$
2. $11 + 4.999999999999999 = 16$
... | (11 + cbrt(125)) + 6 | 22 | power | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((37 / csc(210)) + 37) - 92. 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. $37 / -1.999999999999999... | ((37 / csc(210)) + 37) - 92 | -73.5 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (61 + log(5, 2)) + sin(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(5, 2) = 2.321928094887362$
2. $sin(180) = 1.22464679914... | (61 + log(5, 2)) + sin(180) | 63.32192809488736 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((30 + tan(180)) * 14) + tan(30). 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. $tan(30) = 0.57... | ((30 + tan(180)) * 14) + tan(30) | 445.57735026918965 | trig | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((95 * sin(90)) * 97) * 45. 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. $95 * 1 ... | ((95 * sin(90)) * 97) * 45 | 359119.0843143121 | trig | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (79 + 27) * log(33, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(33, 2) = 5.044394119358453$
2. $79 + 27 = 106$
3. $106 * 5... | (79 + 27) * log(33, 2) | 534.7057766519961 | log | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(64) - log(26, 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. $log(26, 2) = 4.700439718141093$
3. $8 - 4.700... | sqrt(64) - log(26, 2) | 3.2995602818589074 | mixed | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 74 / 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. $74 / 1.414213562373095 = 52.3259018078045... | 74 / sec(45) | 52.32590180780452 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cbrt(27) + cos(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $cos(360) = 1$
3. $3 + 1 = 4$
The answer is $4... | cbrt(27) + cos(360) | 4 | mixed | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 59 - 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. $59 - 7 = 52$
The answer is $52$
3. Drafting the respo... | 59 - sqrt(49) | 52 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (43 + sec(45)) - log(50, 3). 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. $log(50, 3) = 3.56087679500... | (43 + sec(45)) - log(50, 3) | 40.85333676736578 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 73 + 55. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $73 + 55 = 128$
The answer is $128$
3. Drafting the response: "Ответ на ваш запр... | 73 + 55 | 128 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((49 - log(8, 5)) + 24) / 55. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(8, 5) = 1.2920296742201791$
2. $49 - 1.292029674220179... | ((49 - log(8, 5)) + 24) / 55 | 48.30378127865054 | log | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(27) * 7) - cot(90)) - log(5, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $cot(90) = 6.123233995736766e-1... | ((cbrt(27) * 7) - cot(90)) - log(5, 5) | 20 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 57 * 77. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $57 * 77 = 4389$
The answer is $4389$
3. Drafting the response: "Ответ на ваш за... | 57 * 77 | 4389 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 97 / 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. $97 / 0.9999999999999999 = 97.00000000000... | 97 / tan(45) | 97.00000000000001 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(225) - 16) + csc(45). 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. $csc(45) = 1.41421356237309... | (tan(225) - 16) + csc(45) | -13.585786437626904 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 60 + 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. $60 + 3.9999999999999996 = 64$
The an... | 60 + cbrt(64) | 64 | power | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((87 + 80) + sqrt(9)) * 63. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $log(20, 10) = 1.301029995663981$
3. $87 +... | ((87 + 80) + sqrt(9)) * 63 | 13934.031253561237 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 79 + 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. $79 + 5 = 84$
The answer is $84$
3. Drafting the respo... | 79 + sqrt(25) | 84 | power | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(8) + cos(45)) * sec(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $cos(45) = 0.7071067811865476$
3. $sec(... | (cbrt(8) + cos(45)) * sec(60) | 5.414213562373094 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 13 * sqrt(9). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $13 * 3 = 39$
The answer is $39$
3. Drafting the respons... | 13 * sqrt(9) | 39 | power | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((5**2 + 95) / sin(90)) + 10. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**2 = 25$
2. $sin(90) = 1$
3. $25 + 95 = 120$
4. $120... | ((5**2 + 95) / sin(90)) + 10 | 188 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 47 + 92. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $47 + 92 = 139$
The answer is $139$
3. Drafting the response: "Ответ на ваш запр... | 47 + 92 | 139 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((37 * csc(60)) * sqrt(49)) - sqrt(9). 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. $sqrt(49) = 7$
... | ((37 * csc(60)) * sqrt(49)) - sqrt(9) | 211.06743944022622 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((11 - cbrt(125)) - cot(135)) + 39. 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. $cot(135) = -0.999... | ((11 - cbrt(125)) - cot(135)) + 39 | 74.66946735830342 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 86 * 80. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $86 * 80 = 6880$
The answer is $6880$
3. Drafting the response: "Ответ на ваш за... | 86 * 80 | 6880 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(30) / 91) - sqrt(25). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(30) = 0.5773502691896257$
2. $sqrt(25) = 5$
3. $0.57735... | (tan(30) / 91) - sqrt(25) | -4.993655491547367 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(45) + 89) - 93) * 14. 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. $cos(0) = 1$
3. $0.999999... | ((tan(45) + 89) - 93) * 14 | -42 | trig | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(0) + sqrt(64)) * log(10, 5)) * 34. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(0) = 0$
2. $sqrt(64) = 8$
3. $log(10, 5) ... | ((tan(0) + sqrt(64)) * log(10, 5)) * 34 | 16733.19302322641 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (29 + 95) - 19. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $29 + 95 = 124$
2. $124 - 19 = 105$
The answer is $105$
3. Drafting the... | (29 + 95) - 19 | 105 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (65 / 62) / 47. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $65 / 62 = 1.0483870967741935$
2. $1.0483870967741935 / 47 = 0.0223061084... | (65 / 62) / 47 | 0.022306108442004115 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (77 + sqrt(16)) - cos(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $cos(360) = 1$
3. $77 + 4 = 81$
4. $81 ... | (77 + sqrt(16)) - cos(360) | 80 | mixed | 1 | 4 |
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