Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
220801	Simplify	x^2 square root of 4x	$x^{2} \sqrt{4 x}$
220802	Simplify	-((2a)/(3y))^2	$- {(\frac{2 a}{3 y})}^{2}$
220803	Simplify the Radical Expression	square root of 2( square root of 8-3)	$\sqrt{2} (\sqrt{8} - 3)$
220804	Solve the Inequality for x	(x-4)(3x+1)<(2x-6)(x-2)+4	$(x - 4) (3 x + 1) < (2 x - 6) (x - 2) + 4$
220805	Solve for a	2* natural log of a+3=1/4* natural log of 16+ natural log of a+7	$2 \cdot \ln (a + 3) = \frac{1}{4} \cdot \ln (16) + \ln (a + 7)$
220806	Solve for g	-98+2(18g+11)=40g	$- 98 + 2 (18 g + 11) = 40 g$
220807	Simplify	(2x-3y)/(4xy)+(11y-2x)/(4xy)	$\frac{2 x - 3 y}{4 x y} + \frac{11 y - 2 x}{4 x y}$
220808	Evaluate	((9)^-4)/((-3)^-8)	$\frac{{(9)}^{- 4}}{{(- 3)}^{- 8}}$
220809	Find the LCD	(4x)/(x-1) and (2x)/(x-3)	$\frac{4 x}{x - 1}$ and $\frac{2 x}{x - 3}$
220810	Simplify	1/(sin(theta))-(sin(theta)^2)/(sin(theta))	$\frac{1}{\sin (θ)} - \frac{\sin^{2} (θ)}{\sin (θ)}$
220811	Solve for b	limit as x approaches 4 of (x^2+7x+b)/(x^2-6x+8)=15/2	$lim_{x \to 4} \frac{x^{2} + 7 x + b}{x^{2} - 6 x + 8} = \frac{15}{2}$
220812	Find All Complex Solutions	8e^x-5=0	$8 e^{x} - 5 = 0$
220813	Simplify	( square root of 128)/3+ square root of 243+1/( square root of 2)	$\frac{\sqrt{128}}{3} + \sqrt{243} + \frac{1}{\sqrt{2}}$
220814	Graph	Graph y< = square root of 2x+4-3	Graph $y \leq \sqrt{2 x + 4} - 3$
220815	Divide Using Long Polynomial Division	(x^6-4x^5-7x^3)÷(2x^3)	$(x^{6} - 4 x^{5} - 7 x^{3}) \div (2 x^{3})$
220816	Solve the Inequality for x	1/10-3/4x>=1/2x+3/5	$\frac{1}{10} - \frac{3}{4} x \geq \frac{1}{2} x + \frac{3}{5}$
220817	Solve for x	x1/(y^4)=2y^2+c	$x \frac{1}{y^{4}} = 2 y^{2} + c$
220818	Simplify	xy-1/(xy)	$x y - \frac{1}{x y}$
220819	Simplify	(x^3-9x)/(3x^2-6x-9)	$\frac{x^{3} - 9 x}{3 x^{2} - 6 x - 9}$
220820	Find the Domain and Range	y=arcsin((x+1)/2)	$y = \arcsin (\frac{x + 1}{2})$
220821	Simplify	limit as x approaches 0 of (e^(2x)-1)/(e^x-1)	$lim_{x \to 0} \frac{e^{2 x} - 1}{e^{x} - 1}$
220822	Solve for r	2*8^(5r)=28	$2 \cdot 8^{5 r} = 28$
220823	Find the Exact Value	sec(arccot((2 square root of 21)/21))	$\sec (arccot (\frac{2 \sqrt{21}}{21}))$
220824	Convert to Interval Notation	x<-9 and x<9	$x < - 9$ and $x < 9$
220825	Simplify	(-3+ square root of 175)(-5+ square root of 7)	$(- 3 + \sqrt{175}) (- 5 + \sqrt{7})$
220826	Solve the System of Equations	2x-7y=34 and x-y=12	$2 x - 7 y = 34$ and $x - y = 12$
220827	Graph	y+2x^2+32=-16x-1	$y + 2 x^{2} + 32 = - 16 x - 1$
220828	Expand the Logarithmic Expression	log of ( square root of a^3b^5)/(c^7)	$\log (\frac{\sqrt{a^{3} b^{5}}}{c^{7}})$
220829	Write in Exponential Form	fourth root of 5^3* sixth root of 5	$\sqrt[4]{5^{3}} \cdot \sqrt[6]{5}$
220830	Solve the Inequality for x	3x^2-5x-12>2x^2-6x-6	$3 x^{2} - 5 x - 12 > 2 x^{2} - 6 x - 6$
220831	Solve for x	3x(x-4)=6	$3 x (x - 4) = 6$
220832	Solve for u	3=7(4-2u)-6u	$3 = 7 (4 - 2 u) - 6 u$
220833	Solve for x	x2/3=25	$x \frac{2}{3} = 25$
220834	Solve the System of Inequalities	-2m<6 and 3m>24	$- 2 m < 6$ and $3 m > 24$
220835	Graph	y=2x-x^2-x^3	$y = 2 x - x^{2} - x^{3}$
220836	Expand Using Pascal's Triangle	(2p^4-3t)^4	${(2 p^{4} - 3 t)}^{4}$
220837	Solve for x	(x-2)(x-8)=-9	$(x - 2) (x - 8) = - 9$
220838	Write as a Single Logarithm	natural log of x-3 natural log of x+1	$\ln (x) - 3 \ln (x + 1)$
220839	Solve the Inequality for a	-6a>66	$- 6 a > 66$
220840	Simplify	((5x^2+9x-2)/(2x+6))÷((x^2-4)/(x^2+x-6))	$\frac{5 x^{2} + 9 x - 2}{2 x + 6} \div \frac{x^{2} - 4}{x^{2} + x - 6}$
220841	Solve for f	-8(14f+16)+16f=8(-14f-8)	$- 8 (14 f + 16) + 16 f = 8 (- 14 f - 8)$
220842	Graph	f(x)=x^2-4x+32 ; at (3,0) , t^3	$f (x) = x^{2} - 4 x + 32$ ; at $(3, 0)$ , $t^{3}$
220843	Find the 5th Term	1 , 1/10 , 1/100	$1$ , $\frac{1}{10}$ , $\frac{1}{100}$
220844	Solve for x	(x^3-x)/(x^2+1)>0	$\frac{x^{3} - x}{x^{2} + 1} > 0$
220845	Solve for x	3/x=2/(5-x)	$\frac{3}{x} = \frac{2}{5 - x}$
220846	Divide	(6c^2d-14cd^2+2d^3)/2	$\frac{6 c^{2} d - 14 c d^{2} + 2 d^{3}}{2}$
220847	Rationalize the Denominator	8/(-8- square root of 2)	$\frac{8}{- 8 - \sqrt{2}}$
220848	Simplify	( square root of 50)/3+ square root of 147+1/( square root of 2)	$\frac{\sqrt{50}}{3} + \sqrt{147} + \frac{1}{\sqrt{2}}$
220849	Solve the System of Equations	(x-2)^2+(y+1)^2=89 x+y=4	${(x - 2)}^{2} + {(y + 1)}^{2} = 89$ $x + y = 4$
220850	Simplify	1/(x^2)-1/(y^2)	$\frac{1}{x^{2}} - \frac{1}{y^{2}}$
220851	Simplify	(5n)/(30m)+(2m+4n)/(30m)	$\frac{5 n}{30 m} + \frac{2 m + 4 n}{30 m}$
220852	Evaluate	xy>0	$x y > 0$
220853	Evaluate	(pi/2-0)/4	$\frac{\frac{π}{2} - 0}{4}$
220854	Simplify the Radical Expression	(6 square root of 28)/(3 square root of 4)	$\frac{6 \sqrt{28}}{3 \sqrt{4}}$
220855	Simplify	( cube root of -1)^0	${(\sqrt[3]{- 1})}^{0}$
220856	Find the Exact Value	arcsin((-1)^-1)	$\arcsin ({(- 1)}^{- 1})$
220857	Find the Roots (Zeros)	f(x)=-0.3x^2+x+3	$f (x) = - 0.3 x^{2} + x + 3$
220858	Graph	f(x)=-1/8(2x-6)^3-2	$f (x) = - \frac{1}{8} {(2 x - 6)}^{3} - 2$
220859	Simplify	square root of x^(3/4)x^-1	$\sqrt{x^{\frac{3}{4}}} x^{- 1}$
220860	Write in Standard Form	(7x^2+3x)-(5x^2+4)	$(7 x^{2} + 3 x) - (5 x^{2} + 4)$
220861	Simplify	(32a^8b^6-12a^5b^4c^2)/(4a^3b^3)	$\frac{32 a^{8} b^{6} - 12 a^{5} b^{4} c^{2}}{4 a^{3} b^{3}}$
220862	Solve for n	t = square root of (n+3)/n	$t = \sqrt{\frac{n + 3}{n}}$
220863	Solve for x	x+y=9.0 0.50x+0.20y=3.15	$x + y = 9$ $0.5 x + 0.2 y = 3.15$
220864	Solve for n	3n=29	$3 \times n = 2 \times 9$
220865	Find All Complex Solutions	8+2x-1=x-2-5x	$8 + 2 x - 1 = x - 2 - 5 x$
220866	Simplify	(1+1/x-2/(x^2))/(1+2/x-3/(x^2))	$\frac{1 + \frac{1}{x} - \frac{2}{x^{2}}}{1 + \frac{2}{x} - \frac{3}{x^{2}}}$
220867	Evaluate	arctan((- square root of 3)/3)	$\arctan (\frac{- \sqrt{3}}{3})$
220868	Solve for m	m/6-5=1/2m	$\frac{m}{6} - 5 = \frac{1}{2} m$
220869	Simplify	-2(xy^2)(3x^5y^4)	$- 2 (x y^{2}) (3 x^{5} y^{4})$
220870	Simplify	(x/9)÷(8/(7x^2))	$\frac{x}{9} \div \frac{8}{7 x^{2}}$
220871	Solve for x	19 square root of 22-21x=380	$19 \sqrt{22 - 21 x} = 380$
220872	Solve for x	2^(x-1)+2^(x-2)+2^(x-3)+2^(x-4)=960	$2^{x - 1} + 2^{x - 2} + 2^{x - 3} + 2^{x - 4} = 960$
220873	Simplify	(m^2n)^2(2mn^5)^4	${(m^{2} n)}^{2} {(2 m n^{5})}^{4}$
220874	Graph	y=4x y=-4x+8	$y = 4 x$ $y = - 4 x + 8$
220875	Solve for z	5^8*5^z=1	$5^{8} \cdot 5^{z} = 1$
220876	Identify the Sequence	5 , 3 , 1 , -1 ; dots	$5$ , $3$ , $1$ , $- 1$ ; dots
220877	Solve for h	g(x)=1/(x-h)	$g (x) = \frac{1}{x - h}$
220878	Simplify the Radical Expression	7*5 square root of 192	$7 \cdot 5 \sqrt{192}$
220879	Solve the Absolute Value Inequality for x	\|2x-4\|=\|x+1\|	$\| 2 x - 4 \| = \| x + 1 \|$
220880	Solve for r	6 log base 2 of r-2=18	$6 \log_{2} (r - 2) = 18$
220881	Solve the Inequality for a	21>15+2a	$21 > 15 + 2 a$
220882	Solve the System of Equations	-x+4y-4=0 x-4y=-4	$- x + 4 y - 4 = 0$ $x - 4 y = - 4$
220883	Find the x and y Intercepts	f(x)=-2*4^(x-2)	$f (x) = - 2 \cdot 4^{x - 2}$
220884	Find the Inverse	x^(1/5)+7	$x^{\frac{1}{5}} + 7$
220885	Evaluate	2(4x-5)+(6x-4)	$2 (4 x - 5) + (6 x - 4)$
220886	Solve for y	2(d^2)/(dx^2)y-7d/(dx)y-4=0	$2 \cdot \frac{d^{2}}{d x^{2}} y - 7 \cdot \frac{d}{d x} y - 4 = 0$
220887	Solve the Inequality for p	p-3>-8	$p - 3 > - 8$
220888	Simplify	log of 2+ log of 5	$\log (2) + \log (5)$
220889	Simplify	4/(x+1)+(x+2)/(x^2-1)+3/(x-1)	$\frac{4}{x + 1} + \frac{x + 2}{x^{2} - 1} + \frac{3}{x - 1}$
220890	Simplify	(12(p+q))/(4(p-q))	$\frac{12 (p + q)}{4 (p - q)}$
220891	Simplify	x3/4*x1/5	$x \frac{3}{4} \cdot x \frac{1}{5}$
220892	Solve for d	x^2+2x-15=(ax+b)(cx+d)	$x^{2} + 2 x - 15 = (a x + b) (c x + d)$
220893	Solve the Inequality for x	1/x-4<0	$\frac{1}{x} - 4 < 0$
220894	Subtract	1/(5m)-2/(3n)	$\frac{1}{5 m} - \frac{2}{3 n}$
220895	Simplify	((2m^5n)/(4m^2))^2*((mn^4)/(5n))^2	${(\frac{2 m^{5} n}{4 m^{2}})}^{2} \cdot {(\frac{m n^{4}}{5 n})}^{2}$
220896	Solve for y	2xy+6y=0	$2 x y + 6 y = 0$
220897	Simplify	((x^(-1/3)y)/(x^(2/3)y^(-1/2)))^2	${(\frac{x^{- \frac{1}{3}} y}{x^{\frac{2}{3}} y^{- \frac{1}{2}}})}^{2}$
220898	Solve for x	x/3=x/8+6	$\frac{x}{3} = \frac{x}{8} + 6$
220899	Simplify the Radical Expression	square root of 100- square root of -2- square root of 9+ square root of -162	$\sqrt{100} - \sqrt{- 2} - \sqrt{9} + \sqrt{- 162}$
220900	Solve Using the Square Root Property	16-3x^2=13	$16 - 3 x^{2} = 13$