Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
2101	Solve for x	5^(x+1)+5^(x-1)=26	$5^{x + 1} + 5^{x - 1} = 26$
2102	Simplify	((2r+2)/(r+2))÷((4r^2+8r+4)/(12r+12))	$\frac{2 r + 2}{r + 2} \div \frac{4 r^{2} + 8 r + 4}{12 r + 12}$
2103	Solve for x	x^x = ninth root of 1/3	$x^{x} = \sqrt[9]{\frac{1}{3}}$
2104	Find the Domain	(x^2-1)/(x^3+2x^2-8x)-( square root of x+1)/(1-x)	$\frac{x^{2} - 1}{x^{3} + 2 x^{2} - 8 x} - \frac{\sqrt{x + 1}}{1 - x}$
2105	Evaluate	(1/(27^(4/3)))	$(\frac{1}{27^{\frac{4}{3}}})$
2106	Simplify	(x^5y^4)/(x^5y^4)	$\frac{x^{5} y^{4}}{x^{5} y^{4}}$
2107	Simplify	(4 square root of 20+6 square root of 30-10 square root of 40)/(2 square root of 10)	$\frac{4 \sqrt{20} + 6 \sqrt{30} - 10 \sqrt{40}}{2 \sqrt{10}}$
2108	Write in Exponential Form	square root of (3x)^4	$\sqrt{{(3 x)}^{4}}$
2109	Evaluate	2 1/2÷(1/10)+9/10	$2 \frac{1}{2} \div \frac{1}{10} + \frac{9}{10}$
2110	Simplify the Radical Expression	(5x)^(-5/4)	${(5 x)}^{- \frac{5}{4}}$
2111	Simplify	1/(3x^2)+1/(9x^4)	$\frac{1}{3 x^{2}} + \frac{1}{9 x^{4}}$
2112	Simplify	((sin(y)-cos(y))^2)/(cos(y))	$\frac{{(\sin (y) - \cos (y))}^{2}}{\cos (y)}$
2113	Verify the Differential Equation Solution	y'=3x^2 , y=x^3-4	$y' = 3 x^{2}$ , $y = x^{3} - 4$
2114	Simplify	(4/(2d^2))^3	${(\frac{4}{2 d^{2}})}^{3}$
2115	Graph	f(x)=1/2 cube root of x+6	$f (x) = \frac{1}{2} \sqrt[3]{x + 6}$
2116	Solve for a	(x+y)^7=x^7+7x^6y+ax^5y^2+35x^4y^b+35x^3y^4+21x^2y^5+7xy^6+y^7	${(x + y)}^{7} = x^{7} + 7 x^{6} y + a x^{5} y^{2} + 35 x^{4} y^{b} + 35 x^{3} y^{4} + 21 x^{2} y^{5} + 7 x y^{6} + y^{7}$
2117	Solve for k	square root of -3-k=2	$\sqrt{- 3 - k} = 2$
2118	Simplify	cos(10 degrees )^2-sin(10 degrees )^2	$\cos^{2} (10 °) - \sin^{2} (10 °)$
2119	Solve for x	5^(8(x-1))=625^(2x-2)	$5^{8 (x - 1)} = 625^{2 x - 2}$
2120	Find g(f(x))	f(x)=3x^2 , g(x)=2x^3	$f (x) = 3 x^{2}$ , $g (x) = 2 x^{3}$
2121	Simplify	(t(t-3))/(t-2)+(4-t)/(t-2)	$\frac{t (t - 3)}{t - 2} + \frac{4 - t}{t - 2}$
2122	Evaluate the Limit	limit as x approaches infinity of (5+x^-2)/(1+3x^-2)	$lim_{x \to \infty} \frac{5 + x^{- 2}}{1 + 3 x^{- 2}}$
2123	Find the Antiderivative	(e^x)/(e^x+1)	$\frac{e^{x}}{e^{x} + 1}$
2124	Simplify	square root of (4x)^3	$\sqrt{{(4 x)}^{3}}$
2125	Solve for A	F^2+h=MA	$F^{2} + h = M A$
2126	Solve for θ in Radians	sin(theta)+cos(theta)*cot(theta)=2	$\sin (θ) + \cos (θ) \cdot \cot (θ) = 2$
2127	Evaluate the Integral	integral from pi/6 to pi/2 of csc(t)*cot(t) with respect to t	$\int_{\frac{π}{6}}^{\frac{π}{2}} \csc (t) \cdot \cot (t) d t$
2128	Solve for R	V=IR	$V = I R$
2129	Simplify	-9m^-2n^5*2m^-3n^-6	$- 9 m^{- 2} n^{5} \times 2 m^{- 3} n^{- 6}$
2130	Find the Inverse	K(x)=(2x+1)/(3x-2)	$K (x) = \frac{2 x + 1}{3 x - 2}$
2131	Find the Square Roots of a Complex Number	3(cos(pi)+isin(pi))	$3 (\cos (π) + i \sin (π))$
2132	Divide	(15r^10-5r^8+40r^2)/(5r^4)	$\frac{15 r^{10} - 5 r^{8} + 40 r^{2}}{5 r^{4}}$
2133	Simplify	((m^(1/2)n^(2/3))/(m^(2/5)n^(3/4)))^6	${(\frac{m^{\frac{1}{2}} n^{\frac{2}{3}}}{m^{\frac{2}{5}} n^{\frac{3}{4}}})}^{6}$
2134	Simplify	(b^8c^6d^5)(7b^6c^2d)	$(b^{8} c^{6} d^{5}) (7 b^{6} c^{2} d)$
2135	Solve for x	fifth root of 8x+16+1=-1	$\sqrt[5]{8 x + 16} + 1 = - 1$
2136	Find the Domain and Range	f(x) = cube root of -5x	$f (x) = \sqrt[3]{- 5 x}$
2137	Simplify	fifth root of 5* fifth root of 5^2	$\sqrt[5]{5} \cdot \sqrt[5]{5^{2}}$
2138	Write in Slope-Intercept Form	2x+y<=2	$2 x + y \leq 2$
2139	Graph	1/2x+3=-x	$\frac{1}{2} x + 3 = - x$
2140	Simplify	(64-2ab)/((a-8)^2)+(2ab-a^2)/((8-a)^2)	$\frac{64 - 2 a b}{{(a - 8)}^{2}} + \frac{2 a b - a^{2}}{{(8 - a)}^{2}}$
2141	Simplify	4x*9x^(1/2)	$4 x \cdot 9 x^{\frac{1}{2}}$
2142	Simplify the Radical Expression	(3x^(1/2))(4x^(2/3))	$(3 x^{\frac{1}{2}}) (4 x^{\frac{2}{3}})$
2143	Evaluate	1/3 square root of 0.36+1/5 square root of 900	$\frac{1}{3} \sqrt{0.36} + \frac{1}{5} \sqrt{900}$
2144	Simplify	(7y^2+12xy-5x^2)+(6xy-4y^2-3x^2)	$(7 y^{2} + 12 x y - 5 x^{2}) + (6 x y - 4 y^{2} - 3 x^{2})$
2145	Solve for x	2(2x)^(1/3)+1=5	$2 {(2 x)}^{\frac{1}{3}} + 1 = 5$
2146	Simplify	(9i+3 square root of -3)+(2i-7 square root of -3)	$(9 i + 3 \sqrt{- 3}) + (2 i - 7 \sqrt{- 3})$
2147	Solve the Differential Equation	(1-x)y'=y^2	$(1 - x) y' = y^{2}$
2148	Solve for b	b^3-8b^2+16b=0	$b^{3} - 8 b^{2} + 16 b = 0$
2149	Solve for y	2+4/y=7/(12y)	$2 + \frac{4}{y} = \frac{7}{12 y}$
2150	Evaluate the Integral	integral of 10xsin(5x^2+2) with respect to x	$\int 10 x \sin (5 x^{2} + 2) d x$
2151	Find f(g(x))	f(x)=3x+5 , g(x)=-2x-3	$f (x) = 3 x + 5$ , $g (x) = - 2 x - 3$
2152	Find the Asymptotes	f(x)=3tan(x)	$f (x) = 3 \tan (x)$
2153	Solve for t	9+4t=12-4t	$9 + 4 t = 12 - 4 t$
2154	Solve for g	g/(e^2)-r=m-y	$\frac{g}{e^{2}} - r = m - y$
2155	Graph	y=-2cos(-x/2)	$y = - 2 \cos (- \frac{x}{2})$
2156	Solve for x	3+4x=8+x	$3 + 4 x = 8 + x$
2157	Simplify	(18x)/(6-12x)	$\frac{18 x}{6 - 12 x}$
2158	Write in Standard Form	x/-3+y/2=1	$\frac{x}{- 3} + \frac{y}{2} = 1$
2159	Simplify	(3b)/(-5c^-1)	$\frac{3 b}{- 5 c^{- 1}}$
2160	Solve for x	square root of 6x-18+6<=15	$\sqrt{6 x - 18} + 6 \leq 15$
2161	Find the x and y Intercepts	f(x)=1/8*4^(x+1)	$f (x) = \frac{1}{8} \cdot 4^{x + 1}$
2162	Graph	y=(2x+3)^2(x-1)	$y = {(2 x + 3)}^{2} (x - 1)$
2163	Simplify	( square root of 3x)/( square root of 5y)	$\frac{\sqrt{3 x}}{\sqrt{5 y}}$
2164	Graph	x>=0 y>=x y<=-1/4x+5	$x \geq 0$ $y \geq x$ $y \leq - \frac{1}{4} x + 5$
2165	Simplify	(3/2d^-2f^4)^4(-4/3d^5f)^3	${(\frac{3}{2} d^{- 2} f^{4})}^{4} {(- \frac{4}{3} d^{5} f)}^{3}$
2166	Find the Domain	-(35ax^2)/(12b^2)*(8ab)/(21xy)	$- \frac{35 a x^{2}}{12 b^{2}} \cdot \frac{8 a b}{21 x y}$
2167	Find the Antiderivative	f(x) = square root of x-2/( square root of x)	$f (x) = \sqrt{x} - \frac{2}{\sqrt{x}}$
2168	Simplify	(y^3y^4)/(yy^2)	$\frac{y^{3} y^{4}}{y \cdot y^{2}}$
2169	Simplify	5w(-7w+3)+2w(-2w^2+19w+2)	$5 w (- 7 w + 3) + 2 w (- 2 w^{2} + 19 w + 2)$
2170	Solve for x	x+(x+5)/8=(x+5)/16	$x + \frac{x + 5}{8} = \frac{x + 5}{16}$
2171	Simplify	-2^6*(-1^7)	$- 2^{6} \cdot (- 1^{7})$
2172	Simplify	fifth root of (x^6)/(y^10)	$\sqrt[5]{\frac{x^{6}}{y^{10}}}$
2173	Simplify	45^(-3/2)*45^2	$45^{- \frac{3}{2}} \cdot 45^{2}$
2174	Find the Inverse	f(x)=9x^2 , x<=0	$f (x) = 9 x^{2}$ , $x \leq 0$
2175	Simplify	(20-25x)/15*(3x+9)/(8-10x)	$\frac{20 - 25 x}{15} \cdot \frac{3 x + 9}{8 - 10 x}$
2176	Evaluate	(-2^-4)/(3^-3)	$\frac{- 2^{- 4}}{3^{- 3}}$
2177	Graph	4y^2+x=56y-194	$4 y^{2} + x = 56 y - 194$
2178	Simplify	1/(2x^3-4)-3/(3x^3-6)	$\frac{1}{2 x^{3} - 4} - \frac{3}{3 x^{3} - 6}$
2179	Solve the Inequality for r	-r/3<=6	$- \frac{r}{3} \leq 6$
2180	Solve for x	\|x-2\|+3<0	$\| x - 2 \| + 3 < 0$
2181	Simplify	square root of cube root of 64a^4	$\sqrt{\sqrt[3]{64 a^{4}}}$
2182	Evaluate the Limit	limit as x approaches 0 of ((2-3x)^7-128)/(4x)	$lim_{x \to 0} \frac{{(2 - 3 x)}^{7} - 128}{4 x}$
2183	Solve for x	3 square root of x=2	$3 \sqrt{x} = 2$
2184	Simplify the Radical Expression	5 fourth root of 112c^24d^13	$5 \sqrt[4]{112 c^{24} d^{13}}$
2185	Simplify	(7x^(-3/4)y^(5/2)z^(-2/3))/(56x^(-1/2)y^(1/4))	$\frac{7 x^{- \frac{3}{4}} y^{\frac{5}{2}} z^{- \frac{2}{3}}}{56 x^{- \frac{1}{2}} y^{\frac{1}{4}}}$
2186	Find the Product	(x^m)^2	${(x^{m})}^{2}$
2187	Graph	x>=0 y<=-1/8x+5 y>=5/8x-1	$x \geq 0$ $y \leq - \frac{1}{8} x + 5$ $y \geq \frac{5}{8} x - 1$
2188	Find the Inflection Points	f(x)=2/5x^6-7x^4	$f (x) = \frac{2}{5} x^{6} - 7 x^{4}$
2189	Simplify	(2x^2+4x)/(3x^3+6x^2)	$\frac{2 x^{2} + 4 x}{3 x^{3} + 6 x^{2}}$
2190	Solve for x	3 cube root of x = cube root of 7x+5	$3 \sqrt[3]{x} = \sqrt[3]{7 x + 5}$
2191	Simplify	(-3^-3)/(6^-2)	$\frac{- 3^{- 3}}{6^{- 2}}$
2192	Solve for x	log base 2 of 4x-3 = log base 2 of 3+ log base 2 of x	$\log_{2} (4 x - 3) = \log_{2} (3) + \log_{2} (x)$
2193	Evaluate	(5^28)÷(2^2)+203-4	$5^{2} \cdot 8 \div 2^{2} + 20 \cdot 3 - 4$
2194	Simplify	(5 square root of 6)/( square root of 15)	$\frac{5 \sqrt{6}}{\sqrt{15}}$
2195	Solve for x	x/(2x+1)=16/40	$\frac{x}{2 x + 1} = \frac{16}{40}$
2196	Find the Antiderivative	cos(x/2)^2	$\cos^{2} (\frac{x}{2})$
2197	Solve for x	6x(x^2+4x-2)-2x(3x^2+8)=8x(3x-4)-4(3x-8)	$6 x (x^{2} + 4 x - 2) - 2 x (3 x^{2} + 8) = 8 x (3 x - 4) - 4 (3 x - 8)$
2198	Simplify	(2x^3y^5)/(5(x^4y^2)^3)	$\frac{2 x^{3} y^{5}}{5 {(x^{4} y^{2})}^{3}}$
2199	Solve for n	3nb=5n-6z	$3 n b = 5 n - 6 z$
2200	Write in Standard Form	f(x)=9x^4+8x^3-6x^-2+2x	$f (x) = 9 x^{4} + 8 x^{3} - 6 x^{- 2} + 2 x$