Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
191601	Solve for x	35-22x+6-18x=14-30x+32	$35 - 22 x + 6 - 18 x = 14 - 30 x + 32$
191602	Solve for x	\|2x-1\|=5x	$\| 2 x - 1 \| = 5 x$
191603	Solve for x	8+\|4x-7\|>=17	$8 + \| 4 x - 7 \| \geq 17$
191604	Find the Holes in the Graph	(x^2+5x+4)/(2x^2-2)	$\frac{x^{2} + 5 x + 4}{2 x^{2} - 2}$
191605	Find the Inverse	f(x)=-1/2 square root of x+3	$f (x) = - \frac{1}{2} \sqrt{x + 3}$
191606	Graph	f^-1(x)=x^2-5	$f^{- 1} (x) = x^{2} - 5$
191607	Solve for w	1000^8=10^w	$1000^{8} = 10^{w}$
191608	Graph	y=-1/2x+6 y=2x-4	$y = - \frac{1}{2} x + 6$ $y = 2 x - 4$
191609	Find the Domain and Range	y=2/( square root of 2x-5)	$y = \frac{2}{\sqrt{2 x - 5}}$
191610	Describe the Transformation	-2f(x)	$- 2 f (x)$
191611	Simplify	(-a^9b)^4	${(- a^{9} b)}^{4}$
191612	Solve for x	3<=x-8	$3 \leq x - 8$
191613	Simplify	2/(x^2+x)*(2x+2)/x	$\frac{2}{x^{2} + x} \cdot \frac{2 x + 2}{x}$
191614	Simplify	((9st)^(3/2))/((27s^3t^-4)^(2/3))((3s^-2)/(4t^(1/3)))^-1	$\frac{{(9 s t)}^{\frac{3}{2}}}{{(27 s^{3} t^{- 4})}^{\frac{2}{3}}} {(\frac{3 s^{- 2}}{4 t^{\frac{1}{3}}})}^{- 1}$
191615	Solve for a	-3x+y=6 ax+2y=4	$- 3 x + y = 6$ $a x + 2 y = 4$
191616	Solve for x	\|2x+1\|=x+3	$\| 2 x + 1 \| = x + 3$
191617	Simplify	-1-(-5x)-2x+2x^2+7	$- 1 - (- 5 x) - 2 x + 2 x^{2} + 7$
191618	Rationalize the Denominator	( square root of 2)/( square root of 5-8)	$\frac{\sqrt{2}}{\sqrt{5} - 8}$
191619	Solve for x	4(ax+3)-3ax=25+3a	$4 (a x + 3) - 3 a x = 25 + 3 a$
191620	Solve Using the Quadratic Formula	x^2-3x=-2x-7	$x^{2} - 3 x = - 2 x - 7$
191621	Find the Inverse	find the inverse of f(x)=-4x-12	find the inverse of $f (x) = - 4 x - 12$
191622	Solve the Inequality for x	log base 2 of x+ log base 2 of x+4<5	$\log_{2} (x) + \log_{2} (x + 4) < 5$
191623	Simplify	1/3pir^2h	$\frac{1}{3} π r^{2} h$
191624	Evaluate the Function	f(x) = natural log of x at x=1	$f (x) = \ln (x)$ at $x = 1$
191625	Solve for θ	cos(theta)-sin(theta)=1	$\cos (θ) - \sin (θ) = 1$
191626	Simplify	(1-csc(-theta))/(csc(-theta))	$\frac{1 - \csc (- θ)}{\csc (- θ)}$
191627	Evaluate	g^-1(1)	$g^{- 1} (1)$
191628	Divide	((x^2-x-12)/(x-4))÷((2x+6)/(x-5))	$\frac{x^{2} - x - 12}{x - 4} \div \frac{2 x + 6}{x - 5}$
191629	Simplify	(x+y)/(x-y)+(x-y)/(x+y)	$\frac{x + y}{x - y} + \frac{x - y}{x + y}$
191630	Find the x and y Intercepts	f(x)=(x^2-100)/(2x^2-29x+90)	$f (x) = \frac{x^{2} - 100}{2 x^{2} - 29 x + 90}$
191631	Find the Parabola with Vertex (2,-5) and Focus (2,-10)	(2,-5) , (2,-10)	$(2, - 5)$ , $(2, - 10)$
191632	Write in Slope-Intercept Form	x-y<4	$x - y < 4$
191633	Find the Exact Value	sin(2)(45 degrees )	$\sin (2) (45 °)$
191634	Solve the Inequality for x	x(3x+2)>(x+2)^2	$x (3 x + 2) > {(x + 2)}^{2}$
191635	Simplify	(2 square root of 2)/(2 square root of 2)	$\frac{2 \sqrt{2}}{2 \sqrt{2}}$
191636	Simplify	(2+9i)+(3-4i)+4i	$(2 + 9 i) + (3 - 4 i) + 4 i$
191637	Graph	x=2^(-y)	$x = 2^{- y}$
191638	Solve the Inequality for t	-13t>26	$- 13 t > 26$
191639	Write in Slope-Intercept Form	y-1/2=x+1/2	$y - \frac{1}{2} = x + \frac{1}{2}$
191640	Simplify	(6x+1)(3x-7)-(7x^2-34x-20)	$(6 x + 1) (3 x - 7) - (7 x^{2} - 34 x - 20)$
191641	Graph Using a Table of Values	f(x)=4^x+3	$f (x) = 4^{x} + 3$
191642	Find All Complex Solutions	sin(theta)cot(theta)-cos(theta)^2=0	$\sin (θ) \cot (θ) - \cos^{2} (θ) = 0$
191643	Solve for x	9x+1=3(x^2-5)-(x-3)(x+2)	$9 x + 1 = 3 (x^{2} - 5) - (x - 3) (x + 2)$
191644	Evaluate	log base x of 125=3	$\log_{x} (125) = 3$
191645	Solve for x	343^(x-2)-23^(x-3)=0.8*10^(x-2)+10^(x-3)	$34 \cdot 3^{x - 2} - 2 \cdot 3^{x - 3} = 0.8 \cdot 10^{x - 2} + 10^{x - 3}$
191646	Find f(g(x))	f(x)=x/3 g(x)=3x	$f (x) = \frac{x}{3}$ $g (x) = 3 x$
191647	Find the LCD	7/(8x) and 1/(4x+20)	$\frac{7}{8 x}$ and $\frac{1}{4 x + 20}$
191648	Evaluate	square root of 2^3-7+\|-4\|	$\sqrt{2^{3} - 7} + \| - 4 \|$
191649	Evaluate	2(1/4)^1	$2 {(\frac{1}{4})}^{1}$
191650	Solve Using the Quadratic Formula	-3/4x^2+2=0	$- \frac{3}{4} x^{2} + 2 = 0$
191651	Write as a Single Logarithm	log base 14 of 6- log base 14 of 3/2	$\log_{14} (6) - \log_{14} (\frac{3}{2})$
191652	Simplify	(1/( square root of x))/(x^2-4)	$\frac{\frac{1}{\sqrt{x}}}{x^{2} - 4}$
191653	Solve for x	cube root of 2x=4	$\sqrt[3]{2 x} = 4$
191654	Convert to a Percentage	2/25*100%	$\frac{2}{25} \cdot 100 %$
191655	Solve for x	cube root of 14x=-2	$\sqrt[3]{14 x} = - 2$
191656	Evaluate	(-7x^2+3)-(-4x-3)	$(- 7 x^{2} + 3) - (- 4 x - 3)$
191657	Solve for θ	3-3sin(theta)=6cos(theta)^2	$3 - 3 \sin (θ) = 6 \cos^{2} (θ)$
191658	Divide	((x^2+x)/(x^2-7x-8))÷((x^2)/(x^2-8x))	$\frac{x^{2} + x}{x^{2} - 7 x - 8} \div \frac{x^{2}}{x^{2} - 8 x}$
191659	Evaluate	2^64-1	$2^{64} - 1$
191660	Find All Complex Solutions	x^(2/3)+2x^(1/3)-3=0	$x^{\frac{2}{3}} + 2 x^{\frac{1}{3}} - 3 = 0$
191661	Simplify	(36m^-4n^6)/(4mn^-2p^-4)	$\frac{36 m^{- 4} n^{6}}{4 m n^{- 2} p^{- 4}}$
191662	Simplify	(mn^3)/(n^2)	$\frac{m n^{3}}{n^{2}}$
191663	Simplify	3/(9/7)	$\frac{3}{\frac{9}{7}}$
191664	Find the End Behavior	f(x)=-2x^4+12x^8+17+15x^2	$f (x) = - 2 x^{4} + 12 x^{8} + 17 + 15 x^{2}$
191665	Graph	x<0 and y<0	$x < 0$ and $y < 0$
191666	Convert to Interval Notation	{x\|4<=x<6}	${x \| 4 \leq x < 6}$
191667	Divide	(5a^6+60a^5-45a^4)/(15a^4)	$\frac{5 a^{6} + 60 a^{5} - 45 a^{4}}{15 a^{4}}$
191668	Solve for x	x-x=0	$x - x = 0$
191669	Factor	16m^3p^2-100	$16 m^{3} p^{2} - 100$
191670	Find the x and y Intercepts	f(x)=\|x+3\|-2	$f (x) = \| x + 3 \| - 2$
191671	Solve for x	3(3/2x+2/3)-8=-3/2+7x	$3 (\frac{3}{2} x + \frac{2}{3}) - 8 = - \frac{3}{2} + 7 x$
191672	Solve for x	x/3=2/5b-1	$\frac{x}{3} = \frac{2}{5} b - 1$
191673	Solve Using the Quadratic Formula	x^3-5x^2-4x+20=0	$x^{3} - 5 x^{2} - 4 x + 20 = 0$
191674	Solve the Inequality for x	log base 5 of 3x-1<1	$\log_{5} (3 x - 1) < 1$
191675	Simplify the Radical Expression	square root of 2+3 square root of 5-4 square root of 2	$\sqrt{2} + 3 \sqrt{5} - 4 \sqrt{2}$
191676	Solve for θ	cot(theta)=2	$\cot (θ) = 2$
191677	Solve for x	e^(2x-3)=1	$e^{2 x - 3} = 1$
191678	Simplify	((x+2)/(x^2-5x+6))÷((x+2)/(x^2-4x+3))	$\frac{x + 2}{x^{2} - 5 x + 6} \div \frac{x + 2}{x^{2} - 4 x + 3}$
191679	Multiply	(5n-5)(2+2n)	$(5 n - 5) (2 + 2 n)$
191680	Solve for x	(x+3)/2-(2-3x)/7=(4x)/3	$\frac{x + 3}{2} - \frac{2 - 3 x}{7} = \frac{4 x}{3}$
191681	Solve the Inequality for x	x+1>0	$x + 1 > 0$
191682	Simplify	29-(11-2^3)+(6^2)÷4	$29 - (11 - 2^{3}) + 6^{2} \div 4$
191683	Evaluate	-5(3p+3)+9(-7+p)	$- 5 (3 p + 3) + 9 (- 7 + p)$
191684	Graph	p(x)=(x-1)(2x+7)^2(x+1)	$p (x) = (x - 1) {(2 x + 7)}^{2} (x + 1)$
191685	Factor	-12x-4x^3+x^5	$- 12 x - 4 x^{3} + x^{5}$
191686	Factor	x^2a+x^2b	$x^{2} a + x^{2} b$
191687	Simplify	square root of -81*(-2i)^2	$\sqrt{- 81} \cdot {(- 2 i)}^{2}$
191688	Multiply	(x+1)/(x-4)*(5x)/(x+1)	$\frac{x + 1}{x - 4} \cdot \frac{5 x}{x + 1}$
191689	Solve for x	-4=7/33x	$- 4 = \frac{7}{33} x$
191690	Evaluate	2/((-1/x)^2-3)	$\frac{2}{{(- \frac{1}{x})}^{2} - 3}$
191691	Find the Roots (Zeros)	H(x)=x^3-4x^2+x-4	$H (x) = x^{3} - 4 x^{2} + x - 4$
191692	Solve for b	4(b-3)=6	$4 (b - 3) = 6$
191693	Find the Product	(4ax-1)^2	${(4 a x - 1)}^{2}$
191694	Solve the Inequality for x	4/(5x)+1/10<3/(2x)	$\frac{4}{5 x} + \frac{1}{10} < \frac{3}{2 x}$
191695	Find the Exact Value	222*2	$2 \cdot 2 \cdot 2 \cdot 2$
191696	Simplify	(6x^2+10x-1)+(-5x^2-2x+1)	$(6 x^{2} + 10 x - 1) + (- 5 x^{2} - 2 x + 1)$
191697	Write in Standard Form	14=3x-x^2	$14 = 3 x - x^{2}$
191698	Find the Axis of Symmetry	y=1/2x^2	$y = \frac{1}{2} x^{2}$
191699	Graph	F(x)=((x+1)(x-1))/x	$F (x) = \frac{(x + 1) (x - 1)}{x}$
191700	Evaluate	f(-2)=3^x	$f (- 2) = 3^{x}$