Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
166501	Combine Like Terms	-3y+7y+4y^3-2y^2+6y^3-7y^3-5y	$- 3 y + 7 y + 4 y^{3} - 2 y^{2} + 6 y^{3} - 7 y^{3} - 5 y$
166502	Find the Roots (Zeros)	f(x)=(x+5)/(3x^2)	$f (x) = \frac{x + 5}{3 x^{2}}$
166503	Solve for x	10x^2-64=36+6x^2	$10 x^{2} - 64 = 36 + 6 x^{2}$
166504	Find All Complex Solutions	sin(x)-1=0	$\sin (x) - 1 = 0$
166505	Solve for x	(2^(3x-4))/(64^(x-5))=2^(8x-1)	$\frac{2^{3 x - 4}}{64^{x - 5}} = 2^{8 x - 1}$
166506	Solve the Inequality for n	5^(4n)>33	$5^{4 n} > 33$
166507	Find the Roots (Zeros)	r(x)=-1/2x^2-24	$r (x) = - \frac{1}{2} x^{2} - 24$
166508	Graph	x^2+4x>=12	$x^{2} + 4 x \geq 12$
166509	Solve the Inequality for x	3(2x-1)-11x<=-3x+5	$3 (2 x - 1) - 11 x \leq - 3 x + 5$
166510	Simplify	(mn+m^2-2n^3)-(5m^2+8mn-6n^3)+(3mn-6m^2+4n^3)	$(m n + m^{2} - 2 n^{3}) - (5 m^{2} + 8 m n - 6 n^{3}) + (3 m n - 6 m^{2} + 4 n^{3})$
166511	Simplify	((-3y^-1)^3)/(-2y^-1)	$\frac{{(- 3 y^{- 1})}^{3}}{- 2 y^{- 1}}$
166512	Solve the Inequality for x	8^(2-x)=2	$8^{2 - x} = 2$
166513	Simplify	(-3 square root of 3)( square root of -30)	$(- 3 \sqrt{3}) (\sqrt{- 30})$
166514	Solve the Inequality for x	8(x-2)+9<3(x-1)+5x	$8 (x - 2) + 9 < 3 (x - 1) + 5 x$
166515	Solve for x	1/(x-5)+3=(5x)/(x-5)	$\frac{1}{x - 5} + 3 = \frac{5 x}{x - 5}$
166516	Solve for a	z=b+m/a ; for a	$z = b + \frac{m}{a}$ ; for $a$
166517	Solve the Inequality for n	-7n+2(9n+3)>=4n+10-1	$- 7 n + 2 (9 n + 3) \geq 4 n + 10 - 1$
166518	Simplify	-2/(3x)+2/3	$\frac{- 2}{3 x} + \frac{2}{3}$
166519	Evaluate	( log of t)/( log base 8 of t)	$\frac{\log (t)}{\log_{8} (t)}$
166520	Determine if Perpendicular	2x=14+y and 4x+2y=10	$2 x = 14 + y$ and $4 x + 2 y = 10$
166521	Combine Like Terms	3-3+x^3+6x^3-3y-3-4x^3	$3 - 3 + x^{3} + 6 x^{3} - 3 y - 3 - 4 x^{3}$
166522	Evaluate	5/8-(1/4)^2	$\frac{5}{8} - {(\frac{1}{4})}^{2}$
166523	Solve for x	(\|12-x\|)/2=4x	$\frac{\| 12 - x \|}{2} = 4 x$
166524	Solve for x	log of x+3- log of x+1=1	$\log (x + 3) - \log (x + 1) = 1$
166525	Find the Holes in the Graph	f(x)=(-3x^2+3x)/(2x^2-9x+7)	$f (x) = \frac{- 3 x^{2} + 3 x}{2 x^{2} - 9 x + 7}$
166526	Find the LCD	(5x)/(3x-12) and 7/(2x-8)	$\frac{5 x}{3 x - 12}$ and $\frac{7}{2 x - 8}$
166527	Solve the System of Inequalities	-15x+60<=105 AND 14x+11<=-31	$- 15 x + 60 \leq 105$ AND $14 x + 11 \leq - 31$
166528	Solve for C	1^2+1^2=C^2	$1^{2} + 1^{2} = C^{2}$
166529	Subtract	2-4/3	$2 - \frac{4}{3}$
166530	Subtract	x^2-2x-6 from -6x+5	$x^{2} - 2 x - 6$ from $- 6 x + 5$
166531	Solve the Inequality for x	(x-3)/2-(2-x)/3>3	$\frac{x - 3}{2} - \frac{2 - x}{3} > 3$
166532	Simplify	(4/(x+3)-7/(x-3))/(6/(x+3))	$\frac{\frac{4}{x + 3} - \frac{7}{x - 3}}{\frac{6}{x + 3}}$
166533	Solve the Inequality for x	(2/5)^(5x-1)>=25/4	${(\frac{2}{5})}^{5 x - 1} \geq \frac{25}{4}$
166534	Find the LCD	3/(x^2-4x-32) and -2/(x^2-81)	$\frac{3}{x^{2} - 4 x - 32}$ and $\frac{- 2}{x^{2} - 81}$
166535	Multiply	(p^2+p-6)(p^2-6)	$(p^{2} + p - 6) (p^{2} - 6)$
166536	Solve for x	11^x=11^4*11^5	$11^{x} = 11^{4} \cdot 11^{5}$
166537	Write in Standard Form	(x+2)^2+(x-3)^2=9	${(x + 2)}^{2} + {(x - 3)}^{2} = 9$
166538	Graph	f(x)=(x^2-8x+16)/(x^3-6x^2)	$f (x) = \frac{x^{2} - 8 x + 16}{x^{3} - 6 x^{2}}$
166539	Find the Exact Value	cos(105 degrees )+cos(15 degrees )	$\cos (105 °) + \cos (15 °)$
166540	Solve for y	15=\|-y+6\|	$15 = \| - y + 6 \|$
166541	Graph	y=-2^(-x)+4	$y = - 2^{- x} + 4$
166542	Simplify	(a^4b^2c^6)(a^2b^3c^3)	$(a^{4} b^{2} c^{6}) (a^{2} b^{3} c^{3})$
166543	Solve for w	-8(w+1)=2(1-4w)-9	$- 8 (w + 1) = 2 (1 - 4 w) - 9$
166544	Simplify	((3y^-4)^2)/(15y^-3)	$\frac{{(3 y^{- 4})}^{2}}{15 y^{- 3}}$
166545	Solve the System of Equations	y=3x-4 y=-1/2x+3	$y = 3 x - 4$ $y = - \frac{1}{2} x + 3$
166546	Solve the Inequality for x	(x-2)(x+6)^2<0	$(x - 2) {(x + 6)}^{2} < 0$
166547	Divide	(-120m^4n^6-32m^2n^3)/(8m^2n^2)	$\frac{- 120 m^{4} n^{6} - 32 m^{2} n^{3}}{8 m^{2} n^{2}}$
166548	Solve for x	-4x-8-7x=-9+5-11x	$- 4 x - 8 - 7 x = - 9 + 5 - 11 x$
166549	Find the Roots (Zeros)	(x+10)(x-2)=0	$(x + 10) (x - 2) = 0$
166550	Factor	9x^2-0x-16	$9 x^{2} - 0 x - 16$
166551	Graph	f(x)=- log base 1/5 of x	$f (x) = - \log_{\frac{1}{5}} (x)$
166552	Graph	y+2<=-2/3x+4	$y + 2 \leq - \frac{2}{3} x + 4$
166553	Solve for x	\|4x+6\|-1=3x	$\| 4 x + 6 \| - 1 = 3 x$
166554	Find All Complex Solutions	3/(x^2+5x+6)+(x-1)/(x+2)=7/(x+3)	$\frac{3}{x^{2} + 5 x + 6} + \frac{x - 1}{x + 2} = \frac{7}{x + 3}$
166555	Find the Excluded Values	(-7z)/(4z+1)	$\frac{- 7 z}{4 z + 1}$
166556	Solve the Inequality for p	-6+\|2p+3\|>7	$- 6 + \| 2 p + 3 \| > 7$
166557	Find the Exact Value	1/(( square root of 2)/2)	$\frac{1}{\frac{\sqrt{2}}{2}}$
166558	Simplify	(((-1)^5)/((-2)^-3))^2	${(\frac{{(- 1)}^{5}}{{(- 2)}^{- 3}})}^{2}$
166559	Divide	(-1/2)÷2	$- \frac{1}{2} \div 2$
166560	Find the Holes in the Graph	f(x)=(x+2)/(x^2-4)	$f (x) = \frac{x + 2}{x^{2} - 4}$
166561	Simplify	5w(4w^2-2w)+3w(-2w^2+4w)	$5 w (4 w^{2} - 2 w) + 3 w (- 2 w^{2} + 4 w)$
166562	Solve the Inequality for h	6h-5(h-1)<=7h-11	$6 h - 5 (h - 1) \leq 7 h - 11$
166563	Subtract	-39/56-22/35	$- \frac{39}{56} - \frac{22}{35}$
166564	Simplify	(x-1)/(x^2-1)+2/((x+1)^2)	$\frac{x - 1}{x^{2} - 1} + \frac{2}{{(x + 1)}^{2}}$
166565	Solve for x	2/5(x-2)=4x	$\frac{2}{5} (x - 2) = 4 x$
166566	Find All Complex Solutions	4cos(theta)^2=1	$4 \cos^{2} (θ) = 1$
166567	Graph Using a Table of Values	F(x) = square root of x+4	$F (x) = \sqrt{x + 4}$
166568	Describe the Transformation	f(x)=-4(x+1)^2-5	$f (x) = - 4 {(x + 1)}^{2} - 5$
166569	Solve for p	2/3p-3/4=1/2+5/6p	$\frac{2}{3} p - \frac{3}{4} = \frac{1}{2} + \frac{5}{6} p$
166570	Solve for b	4=\|2b+11\|	$4 = \| 2 b + 11 \|$
166571	Multiply	(x^2+5x)/(x^2-25)*(8x-40)/(4x)	$\frac{x^{2} + 5 x}{x^{2} - 25} \cdot \frac{8 x - 40}{4 x}$
166572	Factor	-5p^3+p^2+25p-5	$- 5 p^{3} + p^{2} + 25 p - 5$
166573	Solve the Inequality for x	4^(2x+7)<=32^(2x-3)	$4^{2 x + 7} \leq 32^{2 x - 3}$
166574	Solve for h	(h-8)^2=0	${(h - 8)}^{2} = 0$
166575	Solve for x	4^(x+3)=(1/2)^x	$4^{x + 3} = {(\frac{1}{2})}^{x}$
166576	Describe the Transformation	y=-3\|x\|	$y = - 3 \| x \|$
166577	Solve the Inequality for a	-5(1-4a)>-5	$- 5 (1 - 4 a) > - 5$
166578	Solve for a	43=\|15-4a\|	$43 = \| 15 - 4 a \|$
166579	Simplify	(3x-12)/(3x^2-12x)	$\frac{3 x - 12}{3 x^{2} - 12 x}$
166580	Solve for x	(3x)/2+(2x)/3=(1+3x)/2	$\frac{3 x}{2} + \frac{2 x}{3} = \frac{1 + 3 x}{2}$
166581	Simplify	-2/(y+2)-3/(4y)	$\frac{- 2}{y + 2} - \frac{3}{4 y}$
166582	Solve for x	n=(2x+1)/2	$n = \frac{2 x + 1}{2}$
166583	Solve for x	3x=0.5x^2	$3 x = 0.5 x^{2}$
166584	Graph	5x-y>=0	$5 x - y \geq 0$
166585	Solve for x	\|3x+2\|+4x=6	$\| 3 x + 2 \| + 4 x = 6$
166586	Solve for w	vw^2+y=x	$v w^{2} + y = x$
166587	Solve the Inequality for d	-4-4(-2d-4)<=d+4-9	$- 4 - 4 (- 2 d - 4) \leq d + 4 - 9$
166588	Solve for x	68=1/5(20x+50)+2	$68 = \frac{1}{5} (20 x + 50) + 2$
166589	Simplify	square root of 2* square root of 3* square root of 6	$\sqrt{2} \cdot \sqrt{3} \cdot \sqrt{6}$
166590	Solve the Inequality for d	-10+2(-9d+8)<6d+10-2	$- 10 + 2 (- 9 d + 8) < 6 d + 10 - 2$
166591	Simplify	10y-2y+11-3+8x-4x	$10 y - 2 y + 11 - 3 + 8 x - 4 x$
166592	Solve for y	(y+3)/(y-1)=4/(y-1)	$\frac{y + 3}{y - 1} = \frac{4}{y - 1}$
166593	Factor	f(x)=x^4-x^3-7x^2+x+6	$f (x) = x^{4} - x^{3} - 7 x^{2} + x + 6$
166594	Find the Axis of Symmetry	y^2+x+10=0	$y^{2} + x + 10 = 0$
166595	Combine Like Terms	7-6y-5x^3-1+x^3-7-2y	$7 - 6 y - 5 x^{3} - 1 + x^{3} - 7 - 2 y$
166596	Solve the Inequality for x	x(2x+1)(5x-30)<=0	$x (2 x + 1) (5 x - 30) \leq 0$
166597	Simplify	(p^2+p-6)(p^2-6)	$(p^{2} + p - 6) (p^{2} - 6)$
166598	Graph	y=-1/3csc(x+pi/2)	$y = - \frac{1}{3} \csc (x + \frac{π}{2})$
166599	Find the LCD	3/(x^2-x-2) and -2/(x^2-16)	$\frac{3}{x^{2} - x - 2}$ and $\frac{- 2}{x^{2} - 16}$
166600	Graph	f(x)=1/4(x+4)^2+3	$f (x) = \frac{1}{4} {(x + 4)}^{2} + 3$