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ln(ln(x)*tan(x)/cos(x^3)) | "(3*x^2*ln(x)*sin(x^3)*tan(x)/cos(x^3)^2 + (tan(x)^2 + 1)*ln(x)/cos(x^3) + tan(x)/(x*cos(x^3)))*cos((...TRUNCATED) | "\\ln{\\left(\\frac{\\ln{\\left(x \\right)} \\tan{\\left(x \\right)}}{\\cos{\\left(x^{3} \\right)}} (...TRUNCATED) | "\\frac{\\left(\\frac{3 x^{2} \\ln{\\left(x \\right)} \\sin{\\left(x^{3} \\right)} \\tan{\\left(x \\(...TRUNCATED) | "Find the derivative of ln(ln(x)*tan(x)/cos(x^3)) with respect to x. Please reason step by step, and(...TRUNCATED) | {"assistant_response":"To find the derivative of the function \\( \\ln\\left( \\frac{\\ln x \\tan x}(...TRUNCATED) | [{"clean_partial_rollout":"<｜begin▁of▁sentence｜><｜User｜>Find the derivative of ln(ln(x)*(...TRUNCATED) |
sin(x^1/2 + exp(x^1/2)) | (exp(x^1/2)/(2*x^1/2) + 1/(2*x^1/2))*cos(x^1/2 + exp(x^1/2)) | \sin{\left(\sqrt{x} + e^{\sqrt{x}} \right)} | "\\left(e^{\\sqrt{x}} / 2 \\sqrt{x} + 1 / 2 \\sqrt{x}\\right) \\cos{\\left(\\sqrt{x} + e^{\\sqrt{x}}(...TRUNCATED) | "Find the derivative of sin(x^1/2 + exp(x^1/2)) with respect to x. Please reason step by step, and p(...TRUNCATED) | {"assistant_response":"To find the derivative of \\(\\sin(x^{1/2} + \\exp(x^{1/2}))\\) with respect (...TRUNCATED) | [{"clean_partial_rollout":"<｜begin▁of▁sentence｜><｜User｜>Find the derivative of sin(x^1/2(...TRUNCATED) |
x^4^1/3*ln(x)^2/ln(exp(x)) | "-x^4^1/3*ln(x)^2/ln(exp(x))^2 + 4*x^4^1/3*ln(x)^2/(3*x*ln(exp(x))) + 2*x^4^1/3*ln(x)/(x*ln(exp(x)))(...TRUNCATED) | \frac{\sqrt[3]{x^{4}} \ln{\left(x \right)}^{2}}{\ln{\left(e^{x} \right)}} | "- \\frac{\\sqrt[3]{x^{4}} \\ln{\\left(x \\right)}^{2}}{\\ln{\\left(e^{x} \\right)}^{2}} + \\frac{4 (...TRUNCATED) | "Find the derivative of x^4^1/3*ln(x)^2/ln(exp(x)) with respect to x. Please reason step by step, an(...TRUNCATED) | {"assistant_response":"To find the derivative of the function \\( f(x) = x^{4/3} \\cdot \\frac{[\\ln(...TRUNCATED) | [{"clean_partial_rollout":"<｜begin▁of▁sentence｜><｜User｜>Find the derivative of x^4^1/3*l(...TRUNCATED) |
x^3*exp(-x^4)*sin(tan(x)) | "-4*x^6*exp(-x^4)*sin(tan(x)) + x^3*(tan(x)^2 + 1)*exp(-x^4)*cos(tan(x)) + 3*x^2*exp(-x^4)*sin(tan(x(...TRUNCATED) | x^{3} e^{- x^{4}} \sin{\left(\tan{\left(x \right)} \right)} | "- 4 x^{6} e^{- x^{4}} \\sin{\\left(\\tan{\\left(x \\right)} \\right)} + x^{3} \\left(\\tan^{2}{\\le(...TRUNCATED) | "Find the derivative of x^3*exp(-x^4)*sin(tan(x)) with respect to x. Please reason step by step, and(...TRUNCATED) | {"assistant_response":"To find the derivative of \\( x^3 \\cdot e^{-x^4} \\cdot \\sin(\\tan x) \\) w(...TRUNCATED) | [{"clean_partial_rollout":"<｜begin▁of▁sentence｜><｜User｜>Find the derivative of x^3*exp(-(...TRUNCATED) |
x^5^1/3*ln(x)*sin(x^2) | 2*x*x^5^1/3*ln(x)*cos(x^2) + 5*x^5^1/3*ln(x)*sin(x^2)/(3*x) + x^5^1/3*sin(x^2)/x | \sqrt[3]{x^{5}} \ln{\left(x \right)} \sin{\left(x^{2} \right)} | "2 x \\sqrt[3]{x^{5}} \\ln{\\left(x \\right)} \\cos{\\left(x^{2} \\right)} + 5 \\sqrt[3]{x^{5}} \\ln(...TRUNCATED) | "Find the derivative of x^5^1/3*ln(x)*sin(x^2) with respect to x. Please reason step by step, and pu(...TRUNCATED) | {"assistant_response":"To find the derivative of \\( x^{5/3} \\cdot \\ln(x) \\cdot \\sin(x^2) \\) wi(...TRUNCATED) | [{"clean_partial_rollout":"<｜begin▁of▁sentence｜><｜User｜>Find the derivative of x^5^1/3*l(...TRUNCATED) |
exp(cos(x^5)) | -5*x^4*exp(cos(x^5))*sin(x^5) | e^{\cos{\left(x^{5} \right)}} | - 5 x^{4} e^{\cos{\left(x^{5} \right)}} \sin{\left(x^{5} \right)} | "Find the derivative of exp(cos(x^5)) with respect to x. Please reason step by step, and put your fi(...TRUNCATED) | {"assistant_response":"To find the derivative of \\( \\exp(\\cos(x^5)) \\) with respect to \\( x \\)(...TRUNCATED) | [{"clean_partial_rollout":"<｜begin▁of▁sentence｜><｜User｜>Find the derivative of exp(cos(x(...TRUNCATED) |
ln(ln(tan(x))) | (tan(x)^2 + 1)/(ln(tan(x))*tan(x)) | \ln{\left(\ln{\left(\tan{\left(x \right)} \right)} \right)} | "\\frac{\\tan^{2}{\\left(x \\right)} + 1}{\\ln{\\left(\\tan{\\left(x \\right)} \\right)} \\tan{\\lef(...TRUNCATED) | "Find the derivative of ln(ln(tan(x))) with respect to x. Please reason step by step, and put your f(...TRUNCATED) | {"assistant_response":"To find the derivative of \\(\\ln(\\ln(\\tan(x)))\\) with respect to \\(x\\),(...TRUNCATED) | [{"clean_partial_rollout":"<｜begin▁of▁sentence｜><｜User｜>Find the derivative of ln(ln(tan(...TRUNCATED) |
3*ln(x)*sin(x^4) | 12*x^3*ln(x)*cos(x^4) + 3*sin(x^4)/x | 3 \ln{\left(x \right)} \sin{\left(x^{4} \right)} | 12 x^{3} \ln{\left(x \right)} \cos{\left(x^{4} \right)} + 3 \sin{\left(x^{4} \right)} / x | "Find the derivative of 3*ln(x)*sin(x^4) with respect to x. Please reason step by step, and put your(...TRUNCATED) | {"assistant_response":"To find the derivative of \\( 3 \\ln(x) \\sin(x^4) \\) with respect to \\( x (...TRUNCATED) | [{"clean_partial_rollout":"<｜begin▁of▁sentence｜><｜User｜>Find the derivative of 3*ln(x)*s(...TRUNCATED) |
ln(ln(x)^2) | 2/(x*ln(x)) | \ln{\left(\ln{\left(x \right)}^{2} \right)} | \frac{2}{x \ln{\left(x \right)}} | "Find the derivative of ln(ln(x)^2) with respect to x. Please reason step by step, and put your fina(...TRUNCATED) | {"assistant_response":"To find the derivative of \\(\\ln(\\ln(x)^2)\\) with respect to \\(x\\), we c(...TRUNCATED) | [{"clean_partial_rollout":"<｜begin▁of▁sentence｜><｜User｜>Find the derivative of ln(ln(x)^(...TRUNCATED) |
ln(x^2/3)^1/2 | 1/(3*x*ln(x^2/3)^1/2) | \sqrt{\ln{\left(x^{2/3} \right)}} | \frac{1}{3 x \sqrt{\ln{\left(x^{2/3} \right)}}} | "Find the derivative of ln(x^2/3)^1/2 with respect to x. Please reason step by step, and put your fi(...TRUNCATED) | {"assistant_response":"To find the derivative of \\( \\ln\\left(\\frac{x^2}{3}\\right)^{1/2} \\) wit(...TRUNCATED) | [{"clean_partial_rollout":"<｜begin▁of▁sentence｜><｜User｜>Find the derivative of ln(x^2/3)(...TRUNCATED) |
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