Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
2001	Find the Product	(10g^3h^8v^6)(11gh^8)	$(10 g^{3} h^{8} v^{6}) (11 g h^{8})$
2002	Find the Second Derivative	x+ square root of x+1	$x + \sqrt{x + 1}$
2003	Evaluate	-7+16÷(2^4)+(10-4^2)	$- 7 + 16 \div 2^{4} + (10 - 4^{2})$
2004	Simplify	(225a^10)÷((5a^2)^2)	$(225 a^{10}) \div {(5 a^{2})}^{2}$
2005	Simplify	cos(theta)^2+sin(theta)^2-sec(theta)cos(theta)	$\cos^{2} (θ) + \sin^{2} (θ) - \sec (θ) \cos (θ)$
2006	Subtract	(4x^3-12x^2-5)-(-8x^2+4x+3)	$(4 x^{3} - 12 x^{2} - 5) - (- 8 x^{2} + 4 x + 3)$
2007	Solve for y	(3y-6)/(2y)=17/3	$\frac{3 y - 6}{2 y} = \frac{17}{3}$
2008	Graph	p(x)=(x+5)(x+2)(x)	$p (x) = (x + 5) (x + 2) (x)$
2009	Find All Complex Solutions	x^(4/3)-10x^(2/3)+9=0	$x^{\frac{4}{3}} - 10 x^{\frac{2}{3}} + 9 = 0$
2010	Find the Domain	tan(arctan(x))	$\tan (\arctan (x))$
2011	Solve for x	(5+8x)^(1/3)=-3	${(5 + 8 x)}^{\frac{1}{3}} = - 3$
2012	Simplify	fifth root of (5n)/(16m^5)	$\sqrt[5]{\frac{5 n}{16 m^{5}}}$
2013	Find the Domain and Range	g(x)=1/5 square root of x-3	$g (x) = \frac{1}{5} \sqrt{x - 3}$
2014	Evaluate the Integral	integral of 5x(2x+5)(x-3) with respect to x	$\int 5 x (2 x + 5) (x - 3) d x$
2015	Solve for a	(2a)/a+1/a=4	$\frac{2 a}{a} + \frac{1}{a} = 4$
2016	Write in Slope-Intercept Form	x-3y>6	$x - 3 y > 6$
2017	Solve for x	-1/2(x+5)=-10	$- \frac{1}{2} (x + 5) = - 10$
2018	Find Amplitude, Period, and Phase Shift	y=2-2/3cos(x-pi/2)	$y = 2 - \frac{2}{3} \cos (x - \frac{π}{2})$
2019	Solve for m	7.8(m+2.3)+0.7(5m-3.2)=71.07	$7.8 (m + 2.3) + 0.7 (5 m - 3.2) = 71.07$
2020	Solve for x	x/(x+5)=10	$\frac{x}{x + 5} = 10$
2021	Simplify	8(60÷(4^2-2^2)-2)	$8 (60 \div (4^{2} - 2^{2}) - 2)$
2022	Solve for x	1/2-12/(x+3)=4	$\frac{1}{2} - \frac{12}{x + 3} = 4$
2023	Convert to Radical Form	2(48/3)^(-1/4)	$2 {(\frac{48}{3})}^{- \frac{1}{4}}$
2024	Simplify	(kx+k^2)/(x^2)*x/(x+k)	$\frac{k x + k^{2}}{x^{2}} \cdot \frac{x}{x + k}$
2025	Simplify	(gh^4)/(-3g^-4)	$\frac{g h^{4}}{- 3 g^{- 4}}$
2026	Solve the Inequality for p	6p<=96	$6 p \leq 96$
2027	Simplify	(2x+3)/(x^4)-(x+2)/(x^3)	$\frac{2 x + 3}{x^{4}} - \frac{x + 2}{x^{3}}$
2028	Evaluate the Summation	sum from i=1 to 12 of 2i^2-7	$\sum_{i = 1}^{12} 2 i^{2} - 7$
2029	Evaluate	f(x)=1/3(6)^3	$f (x) = \frac{1}{3} {(6)}^{3}$
2030	Solve the Rational Equation for x	square root of 55-9x=x-7	$\sqrt{55 - 9 x} = x - 7$
2031	Find the GCF	(55x^3)/(132x^2)	$\frac{55 x^{3}}{132 x^{2}}$
2032	Solve for n	2^3*4^n=2^11	$2^{3} \cdot 4^{n} = 2^{11}$
2033	Solve for x	log base x of 5x-4=2	$\log_{x} (5 x - 4) = 2$
2034	Simplify the Radical Expression	fifth root of 224+3 fifth root of 7	$\sqrt[5]{224} + 3 \sqrt[5]{7}$
2035	Solve for x	\|x\|-1>0	$\| x \| - 1 > 0$
2036	Simplify	(3x)/(2x+6)+(3-2x)/(2(x+3))	$\frac{3 x}{2 x + 6} + \frac{3 - 2 x}{2 (x + 3)}$
2037	Simplify the Radical Expression	12 root of 16x^16y^20	$\sqrt[12]{16 x^{16} y^{20}}$
2038	Simplify	( square root of 125- square root of 7)/( square root of 35-5)	$\frac{\sqrt{125} - \sqrt{7}}{\sqrt{35} - 5}$
2039	Evaluate	((32^25-72^24)52)/((-8)^3(32^20+72^19))	$\frac{(3 \cdot 2^{25} - 7 \cdot 2^{24}) \cdot 52}{{(- 8)}^{3} \cdot (3 \cdot 2^{20} + 7 \cdot 2^{19})}$
2040	Simplify	(3x^0y^(1/5))^(5/3)	${(3 x^{0} y^{\frac{1}{5}})}^{\frac{5}{3}}$
2041	Simplify	4/5x+2/3x	$\frac{4}{5} x + \frac{2}{3} x$
2042	Simplify	2^0+2^-1+2	$2^{0} + 2^{- 1} + 2$
2043	Simplify	15(1/8x-2)+1/8x	$15 (\frac{1}{8} x - 2) + \frac{1}{8} x$
2044	Simplify	(5k^2m)^3((4(km^4))^2)^2	${(5 k^{2} m)}^{3} {({(4 {km}^{4})}^{2})}^{2}$
2045	Find Where Increasing/Decreasing	-x^4-8x^3-18x^2	$- x^{4} - 8 x^{3} - 18 x^{2}$
2046	Find the Derivative of the Integral	integral from 1 to x^2+1 of (2t+2)/( square root of t+1) with respect to t	$\int_{1}^{x^{2} + 1} \frac{2 t + 2}{\sqrt{t + 1}} d t$
2047	Find the Roots (Zeros)	9y^2-30y+25=0	$9 y^{2} - 30 y + 25 = 0$
2048	Write with Rational (Fractional) Exponents	( fourth root of -y)^4	${(\sqrt[4]{- y})}^{4}$
2049	Simplify	(3x-4)/(x^2-9)+(2x-1)/(x+3)	$\frac{3 x - 4}{x^{2} - 9} + \frac{2 x - 1}{x + 3}$
2050	Simplify	9/(2(x+3))-x/(x+3)	$\frac{9}{2 (x + 3)} - \frac{x}{x + 3}$
2051	Simplify	f(t)=(2t(t+1))/(t-1)-(3+t)/(t-1)	$f (t) = \frac{2 t (t + 1)}{t - 1} - \frac{3 + t}{t - 1}$
2052	Write the Fraction in Simplest Form	( cube root of 10)÷( cube root of 2)	$\sqrt[3]{10} \div \sqrt[3]{2}$
2053	Solve for x	square root of 2x-4-x+6=0	$\sqrt{2 x - 4} - x + 6 = 0$
2054	Add	(5y-12)+(-5y-1)	$(5 y - 12) + (- 5 y - 1)$
2055	Solve for x	3=(5^(1/3))(x^(1/3))	$3 = (5^{\frac{1}{3}}) (x^{\frac{1}{3}})$
2056	Solve for x	log of x=2 log of 5+3 log of 4	$\log (x) = 2 \log (5) + 3 \log (4)$
2057	Simplify	-8 fourth root of 324x^2	$- 8 \sqrt[4]{324 x^{2}}$
2058	Simplify	(3c^4+6c^3-2c+4)(c+2)^-1	$(3 c^{4} + 6 c^{3} - 2 c + 4) {(c + 2)}^{- 1}$
2059	Solve for y	y/(10-y)=3/8	$\frac{y}{10 - y} = \frac{3}{8}$
2060	Simplify	(4x^3y^6)^-2+(2x^2y^4)^-3	${(4 x^{3} y^{6})}^{- 2} + {(2 x^{2} y^{4})}^{- 3}$
2061	Simplify	( square root of 48x^3y^7)/( square root of 8x^5y)	$\frac{\sqrt{48 x^{3} y^{7}}}{\sqrt{8 x^{5} y}}$
2062	Simplify	(x^3)/(x^2(x+4))	$\frac{x^{3}}{x^{2} (x + 4)}$
2063	Simplify	(3x^4+2x-4x^2)+(5x^2-8x+6x^4)	$(3 x^{4} + 2 x - 4 x^{2}) + (5 x^{2} - 8 x + 6 x^{4})$
2064	Find the Product	(-2^2x^3y^4)((-3)^2x^4y^4)	$(- 2^{2} x^{3} y^{4}) ({(- 3)}^{2} x^{4} y^{4})$
2065	Simplify	(11xy^-1z^0)/(v^-3)	$\frac{11 x y^{- 1} z^{0}}{v^{- 3}}$
2066	Solve for w	-2+8w=-6(3w+9)	$- 2 + 8 w = - 6 (3 w + 9)$
2067	Solve for x	cube root of x-4<=5	$\sqrt[3]{x - 4} \leq 5$
2068	Find the Inflection Points	f(x)=-1/6x^6-x^5+5x^4	$f (x) = - \frac{1}{6} x^{6} - x^{5} + 5 x^{4}$
2069	Solve for m	-6m=-9(2m-4)	$- 6 m = - 9 (2 m - 4)$
2070	Simplify	(x^(1/4)y)/(x^(3/4)y^(1/2))	$\frac{x^{\frac{1}{4}} y}{x^{\frac{3}{4}} y^{\frac{1}{2}}}$
2071	Find the Antiderivative	x^2e^(-x)	$x^{2} e^{- x}$
2072	Find the Product	(7- square root of 7)(-6+ square root of 7)	$(7 - \sqrt{7}) (- 6 + \sqrt{7})$
2073	Simplify	-3a^2b*7(a^9)^5	$- 3 a^{2} b \cdot 7 {(a^{9})}^{5}$
2074	Evaluate	(9-7)^3+4^2*2	${(9 - 7)}^{3} + 4^{2} \cdot 2$
2075	Simplify	((7c^-3d^3)/(c^5dh^-4))^-1	${(\frac{7 c^{- 3} d^{3}}{c^{5} d h^{- 4}})}^{- 1}$
2076	Graph	y>=3x y>0.25x+3	$y \geq 3 x$ $y > 0.25 x + 3$
2077	Simplify	-3^-1+3	$- 3^{- 1} + 3$
2078	Simplify	3 fourth root of 8y^2*2 fourth root of 2y^2	$3 \sqrt[4]{8 y^{2}} \cdot 2 \sqrt[4]{2 y^{2}}$
2079	Graph	x-2y<-16 x+y>=5	$x - 2 y < - 16$ $x + y \geq 5$
2080	Simplify	a/(12b)-b/(8a)	$\frac{a}{12 b} - \frac{b}{8 a}$
2081	Find the Domain	x/(x+8)+(x-8)/x	$\frac{x}{x + 8} + \frac{x - 8}{x}$
2082	Find Trig Functions Using Identities	sin(theta)=-1 , cot(theta)=0	$\sin (θ) = - 1$ , $\cot (θ) = 0$
2083	Find the Domain and Range	(x-2)/(2-x)	$\frac{x - 2}{2 - x}$
2084	Simplify	( cube root of 32x^5y^7)/( cube root of 4x^2y^4)	$\frac{\sqrt[3]{32 x^{5} y^{7}}}{\sqrt[3]{4 x^{2} y^{4}}}$
2085	Graph	x^2+y^2-x+y+6=0	$x^{2} + y^{2} - x + y + 6 = 0$
2086	Evaluate the Limit	limit as x approaches square root of 2 of (2x^2+1)(7x^2+13)	$lim_{x \to \sqrt{2}} (2 x^{2} + 1) (7 x^{2} + 13)$
2087	Solve for x	1/3x-3/4=-1/12	$\frac{1}{3} x - \frac{3}{4} = \frac{- 1}{12}$
2088	Find the Third Derivative	x+ square root of x+1	$x + \sqrt{x + 1}$
2089	Simplify	square root of 6x^5y^4* square root of 3x^2y	$\sqrt{6 x^{5} y^{4}} \cdot \sqrt{3 x^{2} y}$
2090	Simplify	((3a^4b^-2)/(6ab^-3))^-2	${(\frac{3 a^{4} b^{- 2}}{6 a b^{- 3}})}^{- 2}$
2091	Solve for x	3/(7x)-5/x=3	$\frac{3}{7 x} - \frac{5}{x} = 3$
2092	Simplify	fourth root of cube root of 16	$\sqrt[4]{\sqrt[3]{16}}$
2093	Simplify	(10-10x)/(5x)	$\frac{10 - 10 x}{5 x}$
2094	Simplify	(6x+18)/(3x+9)	$\frac{6 x + 18}{3 x + 9}$
2095	Simplify	(x^5y^2)/(xy^2)	$\frac{x^{5} y^{2}}{x y^{2}}$
2096	Simplify	(2^(1/4)z^(5/4))/(6z)	$\frac{2^{\frac{1}{4}} z^{\frac{5}{4}}}{6 z}$
2097	Solve for B	A=(B+C)/D	$A = \frac{B + C}{D}$
2098	Find the Inflection Points	f(x)=1/6x^6+x^5-5x^4	$f (x) = \frac{1}{6} x^{6} + x^{5} - 5 x^{4}$
2099	Simplify	( square root of 2+i square root of 3)( square root of 2-i square root of 3)	$(\sqrt{2} + i \sqrt{3}) (\sqrt{2} - i \sqrt{3})$
2100	Simplify	(5(2a^-1b^3)^0)/(10c^-5d^6e^-8)	$\frac{5 {(2 a^{- 1} b^{3})}^{0}}{10 c^{- 5} d^{6} e^{- 8}}$