Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
34101	Simplify	sixth root of 16x^6	$\sqrt[6]{16 x^{6}}$
34102	Evaluate the Integral	integral of (2x^2+2x+11)/((2x+3)(x^2+4)) with respect to x	$\int \frac{2 x^{2} + 2 x + 11}{(2 x + 3) (x^{2} + 4)} d x$
34103	Find dy/dx	(3x+y)^5=4y^3	${(3 x + y)}^{5} = 4 y^{3}$
34104	Find the x and y Intercepts	f(x)=- square root of x^3+8	$f (x) = - \sqrt{x^{3} + 8}$
34105	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (3,-2) and has a slope of -2 ?	What is the equation of the line that passes through the point $(3, - 2)$ and has a slope of $- 2$ ?
34106	Find F(G(X))	F(X)=10X , G(X)=X+3	$F (X) = 10 X$ , $G (X) = X + 3$
34107	Simplify	(b-c)/(a+b)-(ab-b^2)/(a^2-ac)*(a^2-c^2)/(a^2-b^2)	$\frac{(b - c)}{a + b} - \frac{(a b - b^{2})}{a^{2} - a c} \cdot \frac{(a^{2} - c^{2})}{a^{2} - b^{2}}$
34108	Solve for x	square root of 3x+6+2<=5	$\sqrt{3 x + 6} + 2 \leq 5$
34109	Solve for x	square root of 9x-28 = square root of 5x	$\sqrt{9 x - 28} = \sqrt{5 x}$
34110	Simplify	(3 square root of 2)/(2 square root of 3)-2 square root of 6	$\frac{3 \sqrt{2}}{2 \sqrt{3}} - 2 \sqrt{6}$
34111	Solve for x	x+5/6=2/3	$x + \frac{5}{6} = \frac{2}{3}$
34112	Find the Degree, Leading Term, and Leading Coefficient	f(x)=2x^5-x^2-9x^3+9	$f (x) = 2 x^{5} - x^{2} - 9 x^{3} + 9$
34113	Convert to Rectangular Coordinates	( square root of 3,pi)	$(\sqrt{3}, π)$
34114	Solve the Inequality for x	4x^2-3x-11>=-3x-10	$4 x^{2} - 3 x - 11 \geq - 3 x - 10$
34115	Divide	( square root of x+1)/( square root of x-1)	$\frac{\sqrt{x} + 1}{\sqrt{x} - 1}$
34116	Evaluate	square root of 3^5* cube root of 3	$\sqrt{3^{5}} \cdot \sqrt[3]{3}$
34117	Write in Standard Form	-3x^5y^2+4x^3y+10x^2	$- 3 x^{5} y^{2} + 4 x^{3} y + 10 x^{2}$
34118	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (e^x-cos(x)-2x)/(x^2-2x)	$lim_{x \to 0} \frac{e^{x} - \cos (x) - 2 x}{x^{2} - 2 x}$
34119	Write in Exponential Form	2n root of x^(6n)	$\sqrt[2 n]{x^{6 n}}$
34120	Expand the Logarithmic Expression	log base 2 of 8/((xy)^2)	$\log_{2} (\frac{8}{{(x y)}^{2}})$
34121	Divide	(28m^2-11m-30m^2)/(4m-5)	$\frac{28 m^{2} - 11 m - 30 m^{2}}{4 m - 5}$
34122	Find the Slope	(9,3) and (2,1)	$(9, 3)$ and $(2, 1)$
34123	Evaluate	l=54 square root of d^3	$l = 54 \sqrt{d^{3}}$
34124	Find the Derivative - d/dx	(x^3)/(5+x^3)	$\frac{x^{3}}{5 + x^{3}}$
34125	Evaluate the Integral	integral from 0 to pi/6 of (sec(x)+tan(x))^2 with respect to x	$\int_{0}^{\frac{π}{6}} {(\sec (x) + \tan (x))}^{2} d x$
34126	Graph	y=3-1/2 square root of 6-x	$y = 3 - \frac{1}{2} \sqrt{6 - x}$
34127	Simplify	((6-x)/(x^2-x-30)*(x^2-100)/(2x^2-200))÷((x+10)/(x+5))	$\frac{6 - x}{x^{2} - x - 30} \cdot \frac{x^{2} - 100}{2 x^{2} - 200} \div \frac{x + 10}{x + 5}$
34128	Solve for x	(2x+1)/2+x/3=5/6	$\frac{2 x + 1}{2} + \frac{x}{3} = \frac{5}{6}$
34129	Simplify	((x^2-1)/(6(x+9)))÷((x+1)/(6(x^2-81)))	$\frac{x^{2} - 1}{6 (x + 9)} \div \frac{x + 1}{6 (x^{2} - 81)}$
34130	Find the Roots (Zeros)	f(x)=x(x-2)(x+1)^2	$f (x) = x (x - 2) {(x + 1)}^{2}$
34131	Solve the Rational Equation for x	square root of 5x+4+6=4	$\sqrt{5 x + 4 + 6} = 4$
34132	Find the Leading Term	y=-(x+3)(x+1)^2(2x-5)	$y = - (x + 3) {(x + 1)}^{2} (2 x - 5)$
34133	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (3,2) and has a slope of -5/3 ?	What is the equation of the line that passes through the point $(3, 2)$ and has a slope of $- \frac{5}{3}$ ?
34134	Simplify the Radical Expression	square root of 48x^2y^5z	$\sqrt{48 x^{2} y^{5} z}$
34135	Find the Derivative - d/dt	t^2( natural log of t)^4	$t^{2} \ln^{4} (t)$
34136	Simplify	3^(-1/4)*27^(-1/4)	$3^{- \frac{1}{4}} \cdot 27^{- \frac{1}{4}}$
34137	Find the Center and Radius	2x^2+2y^2+2z^2+x+y+z=9	$2 x^{2} + 2 y^{2} + 2 z^{2} + x + y + z = 9$
34138	Find the Inverse	y=4/3(x-1)^3+6	$y = \frac{4}{3} {(x - 1)}^{3} + 6$
34139	Find the Antiderivative	cos(x)^4-sin(x)^4	$\cos^{4} (x) - \sin^{4} (x)$
34140	Solve the Inequality for d	d/-3<=-6	$\frac{d}{- 3} \leq - 6$
34141	Simplify	x/(3x-2)+3/(x-5)	$\frac{x}{3 x - 2} + \frac{3}{x - 5}$
34142	Simplify	((4x^4z^6)/(yz))^5	${(\frac{4 x^{4} z^{6}}{y z})}^{5}$
34143	Solve for x	(2x-5)/(x+5)-4=0	$\frac{2 x - 5}{x + 5} - 4 = 0$
34144	Find the Derivative - d/dx	y=arctan(x/6)+(3x-7)/(6(x^2+3))	$y = \arctan (\frac{x}{6}) + \frac{3 x - 7}{6 (x^{2} + 3)}$
34145	Solve for x	4x^3=2x-2	$4 x^{3} = 2 x - 2$
34146	Find the Asymptotes	f(x)=((x-3)(x-6)(x+4))/((x-3)^2(x-6)(x-8))	$f (x) = \frac{(x - 3) (x - 6) (x + 4)}{{(x - 3)}^{2} (x - 6) (x - 8)}$
34147	Find dy/dx	-xy+2-2x^3=3y^3	$- x y + 2 - 2 x^{3} = 3 y^{3}$
34148	Solve the System of Equations	3x+2y=22 and 2x+y=14.25	$3 x + 2 y = 22$ and $2 x + y = 14.25$
34149	Solve the Inequality for x	log of x+ log of 2-x<1	$\log (x) + \log (2 - x) < 1$
34150	Subtract	(2x)/5-(7x)/9	$\frac{2 x}{5} - \frac{7 x}{9}$
34151	Add	(2x^2-6x-2) and (x^2+4x)	$(2 x^{2} - 6 x - 2)$ and $(x^{2} + 4 x)$
34152	Solve for z	x=(-2y+z)/3	$x = \frac{- 2 y + z}{3}$
34153	Solve for x	x^2-2/x=0	$x^{2} - \frac{2}{x} = 0$
34154	Solve for t	7(t+3)-2=5(t-2)+5	$7 (t + 3) - 2 = 5 (t - 2) + 5$
34155	Evaluate	(k^3-7k+2)-(k^2-12)	$(k^{3} - 7 k + 2) - (k^{2} - 12)$
34156	Simplify	1/(csc(x)^2-1)	$\frac{1}{\csc^{2} (x) - 1}$
34157	Solve for x	3^x81^5001=9^(2x)27^(2x+602)	$3^{x} \cdot 81^{5001} = 9^{2 x} \cdot 27^{2 x + 602}$
34158	Solve the Inequality for p	-2p+12>8	$- 2 p + 12 > 8$
34159	Simplify the Radical Expression	3x square root of 200x^3	$3 x \sqrt{200 x^{3}}$
34160	Simplify	square root of 75x^7 square root of 75x^7	$\sqrt{75 x^{7}} \sqrt{75 x^{7}}$
34161	Evaluate the Limit	limit as x approaches 6 from the right of x^3-cx	$lim_{x \to 6^{+}} x^{3} - c x$
34162	Solve the System of Inequalities	x>2 5x-2y>6	$x > 2$ $5 x - 2 y > 6$
34163	Simplify	x(-5x^2-9x)	$x (- 5 x^{2} - 9 x)$
34164	Simplify	-8xi-3yi^3	$- 8 x i - 3 y i^{3}$
34165	Factor	-2x^2+4x+48÷x+4	$- 2 x^{2} + 4 x + 48 \div x + 4$
34166	Simplify	square root of 15xy^2* square root of 5x^2y	$\sqrt{15 x y^{2}} \cdot \sqrt{5 x^{2} y}$
34167	Simplify	( cube root of 54j^7)( cube root of 5j^5)	$(\sqrt[3]{54 j^{7}}) (\sqrt[3]{5 j^{5}})$
34168	Solve the Rational Equation for x	11=2+ square root of 90-x	$11 = 2 + \sqrt{90 - x}$
34169	Simplify	-(wk)+3kz-2kw+9zk-kw	$- wk + 3 k z - 2 k w + 9 z k - k w$
34170	Write in Standard Form	8x+3y+y^2=-263-x^2	$8 x + 3 y + y^{2} = - 263 - x^{2}$
34171	Simplify	(2/7+2/5+1/6)+(4 2/3+3 3/7)	$(\frac{2}{7} + \frac{2}{5} + \frac{1}{6}) + (4 \frac{2}{3} + 3 \frac{3}{7})$
34172	Graph	sin(theta)>0 and sec(theta)<0	$\sin (θ) > 0$ and $\sec (θ) < 0$
34173	Evaluate the Limit	limit as x approaches 1 of (4 natural log of 3x-2)/(2-2x^2)	$lim_{x \to 1} \frac{4 \ln (3 x - 2)}{2 - 2 x^{2}}$
34174	Simplify	(2x^2-8x+8)/(x^2-4)	$\frac{2 x^{2} - 8 x + 8}{x^{2} - 4}$
34175	Divide Using Synthetic Division	Use synthetic division to find the result when x^3+2x^2-11x+8 is divided by x-1	Use synthetic division to find the result when $x^{3} + 2 x^{2} - 11 x + 8$ is divided by $x - 1$
34176	Integrate Using u-Substitution	integral of cube root of 3-4x^2(-8x) with respect to x	$\int \sqrt[3]{3 - 4 x^{2}} (- 8 x) d x$
34177	Find Amplitude, Period, and Phase Shift	f(x)=2sec(2x)+1	$f (x) = 2 \sec (2 x) + 1$
34178	Find the Antiderivative	x* square root of 1+x^2	$x \cdot \sqrt{1 + x^{2}}$
34179	Solve for d	5d^2+19d+16=0	$5 d^{2} + 19 d + 16 = 0$
34180	Divide Using Long Polynomial Division	6x^3+10x^2+25x+14 divided by 3x+2	$6 x^{3} + 10 x^{2} + 25 x + 14$ divided by $3 x + 2$
34181	Simplify the Radical Expression	(3 square root of 6)/( square root of 2)	$\frac{3 \sqrt{6}}{\sqrt{2}}$
34182	Solve for x	10/(2x+8)=1/10	$\frac{10}{2 x + 8} = \frac{1}{10}$
34183	Evaluate the Function	f(x)=8/x at x=-1	$f (x) = \frac{8}{x}$ at $x = - 1$
34184	Find dy/dx	-5x-y^2-4y+3y^3+x^2=0	$- 5 x - y^{2} - 4 y + 3 y^{3} + x^{2} = 0$
34185	Find dy/dx	y=1/( fifth root of 8x^2-2)	$y = \frac{1}{\sqrt[5]{8 x^{2} - 2}}$
34186	Simplify the Radical Expression	10 root of r^-8*r^3	$\sqrt[10]{r^{- 8} \cdot r^{3}}$
34187	Simplify	(y-6/x)/((6y)/x)	$\frac{y - \frac{6}{x}}{\frac{6 y}{x}}$
34188	Solve the Rational Equation for x	square root of x+7-x=1	$\sqrt{x + 7} - x = 1$
34189	Evaluate the Limit	limit as x approaches 5 from the right of ( square root of x-5)/x	$lim_{x \to 5^{+}} \frac{\sqrt{x - 5}}{x}$
34190	Simplify	-3x^2-x-10+10x^2+x-10	$- 3 x^{2} - x - 10 + 10 x^{2} + x - 10$
34191	Find the Domain and Range	f(x)=x^5-6x^4+8x^3+6x^2-9x	$f (x) = x^{5} - 6 x^{4} + 8 x^{3} + 6 x^{2} - 9 x$
34192	Find the Coterminal Angle	-2/5pi	$- \frac{2}{5} π$
34193	Find the Excluded Values	8/((x-7)(x+3))=7/(3x-10)	$\frac{8}{(x - 7) (x + 3)} = \frac{7}{3 x - 10}$
34194	Find the Integral	x*e^(x^2)	$x \cdot e^{x^{2}}$
34195	Find the Inverse	y-2=3x	$y - 2 = 3 x$
34196	Solve the System of Equations	y-x=9 10+2x=-2y	$y - x = 9$ $10 + 2 x = - 2 y$
34197	Solve the Inequality for p	-5/4p+6<12	$- \frac{5}{4} p + 6 < 12$
34198	Find the Derivative - d/dx	fourth root of x^3+4x^2+7	$\sqrt[4]{x^{3} + 4 x^{2} + 7}$
34199	Solve for n	log base 8 of n-3 = log base 8 of 2	$\log_{8} (n - 3) = \log_{8} (2)$
34200	Find the Roots (Zeros)	h(t)=-3t^3(t+2)(t+5)	$h (t) = - 3 t^{3} (t + 2) (t + 5)$