Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
207601	Solve for x	fourth root of (2x+1)^3+2=3	$\sqrt[4]{{(2 x + 1)}^{3}} + 2 = 3$
207602	Solve the Inequality for x	3^(-x)>6^(-x)	$3^{- x} > 6^{- x}$
207603	Describe the Transformation	p(x)=x^3 , m(x)=4p(x-3)-5	$p (x) = x^{3}$ , $m (x) = 4 p (x - 3) - 5$
207604	Solve for x	3/(x^2+2)=1/x	$\frac{3}{x^{2} + 2} = \frac{1}{x}$
207605	Find All Complex Solutions	3z^2+12z-20=5z	$3 z^{2} + 12 z - 20 = 5 z$
207606	Solve the Inequality for b	b-19<=15	$b - 19 \leq 15$
207607	Graph	2x^(-)*1	$2 x^{-} \cdot 1$
207608	Graph	f(x)=2x+3 if x>=0; x+4 if x<0	$f (x) = {\begin{cases} 2 x + 3 & x \geq 0 \\ x + 4 & x < 0 \end{cases}$
207609	Solve for x	4\|x+2\|=\|2x+7\|	$4 \| x + 2 \| = \| 2 x + 7 \|$
207610	Factor	a^(2x+6)-9b^(6y)	$a^{2 x + 6} - 9 b^{6 y}$
207611	Simplify	5 square root of 3a^3*4 square root of 25a^4	$5 \sqrt{3 a^{3}} \cdot 4 \sqrt{25 a^{4}}$
207612	Simplify	(-8)(1/3)	$(- 8) (\frac{1}{3})$
207613	Find the Excluded Values	(x^2-2x-15)/(10x+30)*3/(x^2-3x-10)	$\frac{x^{2} - 2 x - 15}{10 x + 30} \cdot \frac{3}{x^{2} - 3 x - 10}$
207614	Convert to Radical Form	(-32)^0.6	${(- 32)}^{0.6}$
207615	Find the Degree, Leading Term, and Leading Coefficient	f(x)=2-11x+2x^2	$f (x) = 2 - 11 x + 2 x^{2}$
207616	Solve for k	k^2-7k+12.25>0	$k^{2} - 7 k + 12.25 > 0$
207617	Find the Exact Value	tan((2pi)/3)+4cos((11pi)/6)	$\tan (\frac{2 π}{3}) + 4 \cos (\frac{11 π}{6})$
207618	Solve for x	(x-5)/6=14/(2x+3)	$\frac{x - 5}{6} = \frac{14}{2 x + 3}$
207619	Solve for A	A^2+35^2=37^2	$A^{2} + 35^{2} = 37^{2}$
207620	Simplify	(1/2+1/3+1/6)÷2 1/2	$(\frac{1}{2} + \frac{1}{3} + \frac{1}{6}) \div 2 \frac{1}{2}$
207621	Evaluate	(4.5*10^4)÷(300)	$(4.5 \cdot 10^{4}) \div (300)$
207622	Simplify the Radical Expression	3 square root of 18w^7*10 square root of 4w^9	$3 \sqrt{18 w^{7}} \cdot 10 \sqrt{4 w^{9}}$
207623	Simplify	cos(theta)sec(theta)-(cos(theta))/(sec(theta))	$\cos (θ) \sec (θ) - \frac{\cos (θ)}{\sec (θ)}$
207624	Solve for x	-3=x^2-4x	$- 3 = x^{2} - 4 x$
207625	Simplify the Radical Expression	fourth root of cube root of 16	$\sqrt[4]{\sqrt[3]{16}}$
207626	Find the Parallel Line	Find the equation of the line parallel to y=-3x+7 that goes through the point (1,3)	Find the equation of the line parallel to $y = - 3 x + 7$ that goes through the point $(1, 3)$
207627	Evaluate	square root of x+8=3	$\sqrt{x + 8} = 3$
207628	Solve for v	square root of 2v-7=v-3	$\sqrt{2 v - 7} = v - 3$
207629	Solve for x	(4x+9)/9-(2x-9)/9=(24x+16)/24-x	$\frac{4 x + 9}{9} - \frac{2 x - 9}{9} = \frac{24 x + 16}{24} - x$
207630	Simplify	-(2x^-2yz)^0	$- {(2 x^{- 2} y z)}^{0}$
207631	Simplify	2/(4+4 square root of 3)	$\frac{2}{4 + 4 \sqrt{3}}$
207632	Simplify	4(5/4x+3/2)	$4 (\frac{5}{4} x + \frac{3}{2})$
207633	Solve for x	(x^2+5x+25)^(3/2)=343 ?	${(x^{2} + 5 x + 25)}^{\frac{3}{2}} = 343$ ?
207634	Evaluate	(x^5y^6)/(xy^2)	$\frac{x^{5} y^{6}}{x y^{2}}$
207635	Solve the Rational Equation for x	square root of x-2 = square root of 3x-14	$\sqrt{x - 2} = \sqrt{3 x - 14}$
207636	Simplify	4x^2+6x+8+x+2	$4 x^{2} + 6 x + 8 + x + 2$
207637	Solve for x	x^2-2xy+y^2=0	$x^{2} - 2 x y + y^{2} = 0$
207638	Convert to a Decimal	21 3/4m in 2 1/2hr	$21 \frac{3}{4}$ $meters$ in $2 \frac{1}{2}$ $hours$
207639	Solve for b	5b+8-2b=7b	$5 b + 8 - 2 b = 7 b$
207640	Solve for x	x=(-10+- square root of 10^2-456)/(2*5)	$x = \frac{- 10 + - \sqrt{10^{2} - 4 \cdot 5 \cdot 6}}{2 \cdot 5}$
207641	Solve the Inequality for m	m+5>=-1	$m + 5 \geq - 1$
207642	Graph	y=2-3cos(pi/2(x+2))	$y = 2 - 3 \cos (\frac{π}{2} (x + 2))$
207643	Write in Slope-Intercept Form	x-y>=8	$x - y \geq 8$
207644	Simplify	((4^-2)^-1)/(4^-1)	$\frac{{(4^{- 2})}^{- 1}}{4^{- 1}}$
207645	Simplify	((2^2)/(2^3))^5	${(\frac{2^{2}}{2^{3}})}^{5}$
207646	Write in Slope-Intercept Form	2y+x-4=0	$2 y + x - 4 = 0$
207647	Graph	x<-1/2	$x < - \frac{1}{2}$
207648	Simplify	cube root of 216x^5* fourth root of 81x^7	$\sqrt[3]{216 x^{5}} \cdot \sqrt[4]{81 x^{7}}$
207649	Evaluate	square root of 3x^2y* cube root of 27x^3y^2	$\sqrt{3 x^{2} y} \cdot \sqrt[3]{27 x^{3} y^{2}}$
207650	Write in Standard Form	2x-5x^3-7-4x^2	$2 x - 5 x^{3} - 7 - 4 x^{2}$
207651	Find the Roots (Zeros)	16x^4-81=0	$16 x^{4} - 81 = 0$
207652	Describe the Transformation	y=- square root of x-2	$y = - \sqrt{x} - 2$
207653	Simplify	2(4.5(x-2)-0.5x)	$2 (4.5 (x - 2) - 0.5 x)$
207654	Simplify	( square root of 35x^5)/( square root of 7x^4)	$\frac{\sqrt{35 x^{5}}}{\sqrt{7 x^{4}}}$
207655	Find the Quotient	(x^5+3x-7+2x^2)/(x^2-3x-1)	$\frac{x^{5} + 3 x - 7 + 2 x^{2}}{x^{2} - 3 x - 1}$
207656	Simplify	(6j^2k-9jk^2)÷(3jk)	$(6 j^{2} k - 9 j k^{2}) \div (3 j k)$
207657	Solve for f	-18f+20=-20-15f-20	$- 18 f + 20 = - 20 - 15 f - 20$
207658	Combine Like Terms	12g+6f-2f-5g-4f	$12 g + 6 f - 2 f - 5 g - 4 f$
207659	Simplify the Radical Expression	square root of (a^10)/(b^6)	$\sqrt{\frac{a^{10}}{b^{6}}}$
207660	Graph	y=sec(2)(x+pi)	$y = \sec (2) (x + π)$
207661	Solve for x	square root of square root of x+4 = square root of x+2	$\sqrt{\sqrt{x + 4}} = \sqrt{x + 2}$
207662	Evaluate	( fourth root of 4)/( fourth root of 27)	$\frac{\sqrt[4]{4}}{\sqrt[4]{27}}$
207663	Simplify	(4^-1(-3)^-2)/(6^-2)	$\frac{4^{- 1} {(- 3)}^{- 2}}{6^{- 2}}$
207664	Simplify the Radical Expression	square root of 5/(3b)	$\sqrt[2]{\frac{5}{3 b}}$
207665	Solve by Substitution	4x+2y=6 and 3x+y=9	$4 x + 2 y = 6$ and $3 x + y = 9$
207666	Simplify	3x1/(x^-4)x^-3	$3 x \cdot \frac{1}{x^{- 4}} \cdot x^{- 3}$
207667	Evaluate	80000/((4.5)^(3/2))e^(-(30/4.5+4.5-2))	$\frac{80000}{{(4.5)}^{\frac{3}{2}}} e^{- (\frac{30}{4.5} + 4.5 - 2)}$
207668	Find All Complex Solutions	\|x-3\|+1=0	$\| x - 3 \| + 1 = 0$
207669	Solve for t	s=-16t^2+v_0t	$s = - 16 t^{2} + v_{0} t$
207670	Simplify	( cube root of 2t^6)( cube root of 6t^8)	$(\sqrt[3]{2 t^{6}}) (\sqrt[3]{6 t^{8}})$
207671	Identify the Sequence	3^(1/3) , 3^(2/3) , 3^1 , 3^(4/3)	$3^{\frac{1}{3}}$ , $3^{\frac{2}{3}}$ , $3^{1}$ , $3^{\frac{4}{3}}$
207672	Simplify	(3x+7)*8x^2	$(3 x + 7) \cdot 8 x^{2}$
207673	Simplify	(4e^x)/(e^(4x))	$\frac{4 e^{x}}{e^{4 x}}$
207674	Simplify	(sin(x)^2)/(cot(x))+(cot(x))/(csc(x)^2)	$\frac{\sin^{2} (x)}{\cot (x)} + \frac{\cot (x)}{\csc^{2} (x)}$
207675	Write as a Single Logarithm	log of x+5 log of y- log of m	$\log (x) + 5 \log (y) - \log (m)$
207676	Factor	49y^2-x^2+6x-9	$49 y^{2} - x^{2} + 6 x - 9$
207677	Solve the Inequality for x	x^2>-2x	$x^{2} > - 2 x$
207678	Graph	3x-y>=2 3x-y<-5	$3 x - y \geq 2$ $3 x - y < - 5$
207679	Multiply	square root of 3* cube root of 27	$\sqrt{3} \cdot \sqrt[3]{27}$
207680	Evaluate	f(2)-f(-2)	$f (2) - f (- 2)$
207681	Write in Slope-Intercept Form	(-2,-4) and (-3,-3)	$(- 2, - 4)$ and $(- 3, - 3)$
207682	Find the x and y Intercepts	f(x)=-1/8(4)^(x+3)+6	$f (x) = - \frac{1}{8} {(4)}^{x + 3} + 6$
207683	Write in Standard Form	3p(np-z)	$3 p (n p - z)$
207684	Solve the System of Equations	y=-x^2+5x+1 2x+y=7	$y = - x^{2} + 5 x + 1$ $2 x + y = 7$
207685	Simplify	3/(5x^2)*(7x)/10	$\frac{3}{5 x^{2}} \cdot \frac{7 x}{10}$
207686	Find All Complex Solutions	4a+2b=10	$4 a + 2 b = 10$
207687	Simplify	(p^3q)^-4	${(p^{3} q)}^{- 4}$
207688	Evaluate	plus or minus square root of 121	$\pm \sqrt{121}$
207689	Solve for c	2c-4=(4-2c)	$2 c - 4 = (4 - 2 c)$
207690	Write in Standard Form	y=-(x+3)(x+1)^2(2x-5)	$y = - (x + 3) {(x + 1)}^{2} (2 x - 5)$
207691	Solve for x	-2=2^(x+1)-2	$- 2 = 2^{x + 1} - 2$
207692	Simplify	square root of 98x^4y^2-3x^2y square root of 2	$\sqrt{98 x^{4} y^{2}} - 3 x^{2} y \sqrt{2}$
207693	Write in Standard Form	x=-y^2+16y-69	$x = - y^{2} + 16 y - 69$
207694	Solve for l	l=54 square root of d^3	$l = 54 \sqrt{d^{3}}$
207695	Simplify	(p^2+q^2)(p^4-pq-q^4)	$(p^{2} + q^{2}) (p^{4} - p q - q^{4})$
207696	Simplify	((a+1)/a)/5	$\frac{\frac{a + 1}{a}}{5}$
207697	Simplify	(x^5y^4y^3z^4)/((x^2y^3)^2z^3)	$\frac{x^{5} y^{4} y^{3} z^{4}}{{(x^{2} y^{3})}^{2} z^{3}}$
207698	Find the LCM	6 and 7	$6$ and $7$
207699	Simplify	3 square root of 40a^3+2 square root of 160a^3-a square root of 360a	$3 \sqrt{40 a^{3}} + 2 \sqrt{160 a^{3}} - a \sqrt{360 a}$
207700	Factor	6bx-3by+2cx-cy+4dx-2dy	$6 b x - 3 b y + 2 c x - c y + 4 d x - 2 d y$