Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
163201	Find the x and y Intercepts	f(x)=(x^2+4x)/(2x^2-5x)	$f (x) = \frac{x^{2} + 4 x}{2 x^{2} - 5 x}$
163202	Solve the Inequality for x	(x+3)/(x-2)>0	$\frac{x + 3}{x - 2} > 0$
163203	Simplify	(x^2-36)/(x^2-5x-6)*(3x+3)/(9x^2)	$\frac{x^{2} - 36}{x^{2} - 5 x - 6} \cdot \frac{3 x + 3}{9 x^{2}}$
163204	Simplify	-6x^5y^5(11x^5)	$- 6 x^{5} y^{5} (11 x^{5})$
163205	Solve for x	\|x-10\|>=1	$\| x - 10 \| \geq 1$
163206	Solve for x	x^3-7x+6=0	$x^{3} - 7 x + 6 = 0$
163207	Solve by Factoring	4x^2-10=-9	$4 x^{2} - 10 = - 9$
163208	Evaluate	natural log of e^5- natural log of e^2	$\ln (e^{5}) - \ln (e^{2})$
163209	Solve for h	\|h-5\|<=10	$\| h - 5 \| \leq 10$
163210	Simplify	-3^-3	$- 3^{- 3}$
163211	Solve for x	2(x+8)^2+9=29	$2 {(x + 8)}^{2} + 9 = 29$
163212	Write in Standard Form	y=2(x+1)^2-2	$y = 2 {(x + 1)}^{2} - 2$
163213	Solve the System of Equations	x+3y=6 5x-2y=13	$x + 3 y = 6$ $5 x - 2 y = 13$
163214	Evaluate	4/3pi6^3	$\frac{4}{3} \cdot π \cdot 6^{3}$
163215	Evaluate	-3f(-8)+7g(2)	$- 3 \cdot f (- 8) + 7 \cdot g (2)$
163216	Evaluate	10 choose 0	${}_{10}C_{0}$
163217	Combine Like Terms	-7(n+3)-8(1+8n)	$- 7 (n + 3) - 8 (1 + 8 n)$
163218	Solve the Inequality for x	(x-2)(x+3)<0	$(x - 2) (x + 3) < 0$
163219	Solve the Inequality for q	2q-7>3q+1	$2 q - 7 > 3 q + 1$
163220	Solve for x	-8(x+1)=2(1-4x)-9	$- 8 (x + 1) = 2 (1 - 4 x) - 9$
163221	Evaluate	2e^1	$2 e^{1}$
163222	Solve for x	log base 5 of 25=3x-3	$\log_{5} (25) = 3 x - 3$
163223	Find the Exact Value	square root of 121	$\sqrt{121}$
163224	Solve the Inequality for z	6z-4<=3z+2	$6 z - 4 \leq 3 z + 2$
163225	Solve for r	(2(r-3))/4-8=50	$\frac{2 (r - 3)}{4} - 8 = 50$
163226	Simplify	square root of square root of 2	$\sqrt{\sqrt{2}}$
163227	Write in Standard Form	x+8x^4+2x^2-1/6	$x + 8 x^{4} + 2 x^{2} - \frac{1}{6}$
163228	Solve for x	square root of 3x+4=1+ square root of 3x-11	$\sqrt{3 x + 4} = 1 + \sqrt{3 x - 11}$
163229	Solve the Inequality for q	9q+2>-3q+1	$9 q + 2 > - 3 q + 1$
163230	Find the Product	(x^2-16)/(2x+8)*(x^3-2x^2+x)/(x^2+3x-4)	$\frac{x^{2} - 16}{2 x + 8} \cdot \frac{x^{3} - 2 x^{2} + x}{x^{2} + 3 x - 4}$
163231	Solve the Inequality for x	x^2>=16	$x^{2} \geq 16$
163232	Solve for x	0.5+x=1.5-x	$0.5 + x = 1.5 - x$
163233	Solve for m	8n=-3m+1	$8 n = - 3 m + 1$
163234	Simplify	(25x^7y^3)/(xy^2)	$\frac{25 x^{7} y^{3}}{x y^{2}}$
163235	Solve the Inequality for x	x^2-3x-10>=0	$x^{2} - 3 x - 10 \geq 0$
163236	Simplify	( square root of 20)/2	$\frac{\sqrt{20}}{2}$
163237	Factor	100x^10-60a^4x^5y^6+9a^8y^12	$100 x^{10} - 60 a^{4} x^{5} y^{6} + 9 a^{8} y^{12}$
163238	Solve for x	(4x)/5-3=1+x/5+x-8	$\frac{4 x}{5} - 3 = 1 + \frac{x}{5} + x - 8$
163239	Write in Standard Form	x/7-2x^3-1	$\frac{x}{7} - 2 x^{3} - 1$
163240	Write in Standard Form	y=x^2+6x+11	$y = x^{2} + 6 x + 11$
163241	Solve for x	x^2+6x-4=3x+6	$x^{2} + 6 x - 4 = 3 x + 6$
163242	Solve for b	x=(-b+- square root of b^2-4ac)/(2a)	$x = \frac{- b + - \sqrt{b^{2} - 4 a c}}{2 a}$
163243	Simplify	(5x^4-y^3)^2	${(5 x^{4} - y^{3})}^{2}$
163244	Solve for x	x^2+20=2x	$x^{2} + 20 = 2 x$
163245	Find the Function	f(x)=2x^3	$f (x) = 2 x^{3}$
163246	Simplify	\|3-8\|-(12÷3+1)^2	$\| 3 - 8 \| - {(12 \div 3 + 1)}^{2}$
163247	Solve the Rational Equation for x	square root of 3-2x=x	$\sqrt{3 - 2 x} = x$
163248	Evaluate	-1/2(-5/6+1/3)	$- \frac{1}{2} (- \frac{5}{6} + \frac{1}{3})$
163249	Simplify	(1/16x^-8)^-1	${(\frac{1}{16} x^{- 8})}^{- 1}$
163250	Find the First Term	a_n=3n-1	$a_{n} = 3 n - 1$
163251	Solve for x	(x^2+3)^2+21=10x^2+30	${(x^{2} + 3)}^{2} + 21 = 10 x^{2} + 30$
163252	Solve the Inequality for x	-11x-4>-15	$- 11 x - 4 > - 15$
163253	Graph	{x\|x>=0}	${x \| x \geq 0}$
163254	Solve for b	6=f/b-g^2	$6 = \frac{f}{b} - g^{2}$
163255	Solve for p	19/(4p-1)=5	$\frac{19}{4 p - 1} = 5$
163256	Solve the System of Inequalities	-1<9+n<17	$- 1 < 9 + n < 17$
163257	Solve Using the Quadratic Formula	b^2-4ac=0	$b^{2} - 4 a c = 0$
163258	Write in Standard Form	-1/2+4x^3+3x+x^4-x^5	$- \frac{1}{2} + 4 x^{3} + 3 x + x^{4} - x^{5}$
163259	Simplify	square root of (x^2)/64	$\sqrt{\frac{x^{2}}{64}}$
163260	Graph	y=-1*2^(1-x)+6	$y = - 1 \cdot 2^{1 - x} + 6$
163261	Solve for x	8e^(x/2)=1	$8 e^{\frac{x}{2}} = 1$
163262	Find the Domain and Range	f(x)=-\|2x\|+7	$f (x) = - \| 2 x \| + 7$
163263	Simplify	2x-4y+6+3x-9y-4	$2 x - 4 y + 6 + 3 x - 9 y - 4$
163264	Find the Exact Value	tan(157.5 degrees )	$\tan (157.5 °)$
163265	Solve for x	5=e^x	$5 = e^{x}$
163266	Graph	y=-2/3x^2	$y = \frac{- 2}{3} x^{2}$
163267	Graph Using a Table of Values	y=-x^2+4	$y = - x^{2} + 4$
163268	Graph Using a Table of Values	y=x^2+2x+1	$y = x^{2} + 2 x + 1$
163269	Solve for w	5-3(w+4)=w-7	$5 - 3 (w + 4) = w - 7$
163270	Solve the Inequality for s	8s+3<9s+1	$8 s + 3 < 9 s + 1$
163271	Solve for k	-4=(k+3)/2	$- 4 = \frac{k + 3}{2}$
163272	Multiply	1*(-1/2)	$1 \cdot (- \frac{1}{2})$
163273	Find the Exact Value	(2^3)^2	${(2^{3})}^{2}$
163274	Evaluate	cos(x)^2+sin(x)^2	$\cos^{2} (x) + \sin^{2} (x)$
163275	Write in Standard Form	-(x^4)/6+x^2-9x^3-1	$- \frac{x^{4}}{6} + x^{2} - 9 x^{3} - 1$
163276	Solve for w	(2w-7)^2=0	${(2 w - 7)}^{2} = 0$
163277	Graph	2^x-1=x+2	$2^{x} - 1 = x + 2$
163278	Find the x and y Intercepts	f(x)=(-2x^2-4x)/(4x+8)	$f (x) = \frac{- 2 x^{2} - 4 x}{4 x + 8}$
163279	Graph	y=-1/2x-1 y=1/4x-4	$y = - \frac{1}{2} x - 1$ $y = \frac{1}{4} x - 4$
163280	Convert to Interval Notation	6h-5(h-1)<=7h-11	$6 h - 5 (h - 1) \leq 7 h - 11$
163281	Solve the System of Equations	y=x^2-3 y=-2x+4	$y = x^{2} - 3$ $y = - 2 x + 4$
163282	Write in Standard Form	y=x^2-2x-3	$y = x^{2} - 2 x - 3$
163283	Solve for b	rb=m+9b	$r b = m + 9 b$
163284	Find the x and y Intercepts	f(x)=(4x+8)/(x^2+2x)	$f (x) = \frac{4 x + 8}{x^{2} + 2 x}$
163285	Solve for x	x-(x+5)/(x+8)=3/(x+8)	$x - \frac{x + 5}{x + 8} = \frac{3}{x + 8}$
163286	Simplify	(x^2-1)/(x^2-6x+5)*(3x-15)/(6x)	$\frac{x^{2} - 1}{x^{2} - 6 x + 5} \cdot \frac{3 x - 15}{6 x}$
163287	Find the Product	(4x-7)(4x+7)	$(4 x - 7) (4 x + 7)$
163288	Simplify	(x^-3y^-1)^2	${(x^{- 3} y^{- 1})}^{2}$
163289	Solve for t	H(t)=-16t^2+128t	$H (t) = - 16 t^{2} + 128 t$
163290	Solve for x	7x-c=k for x	$7 x - c = k$ for $x$
163291	Simplify	(125x^7y)/(125x^8y^2)	$\frac{125 x^{7} y}{125 x^{8} y^{2}}$
163292	Describe the Transformation	g(x)=f(x-2)	$g (x) = f (x - 2)$
163293	Solve for x	86*10^(x/4)=41	$86 \cdot 10^{\frac{x}{4}} = 41$
163294	Simplify	((10x^3y^2)/(5x^-3y^4))^-3	${(\frac{10 x^{3} y^{2}}{5 x^{- 3} y^{4}})}^{- 3}$
163295	Solve for x	-3(x+5)+5x=2(x-6)	$- 3 (x + 5) + 5 x = 2 (x - 6)$
163296	Graph	f(x)=2+x if x<0; x^2 if x>=0	$f (x) = {\begin{cases} 2 + x & x < 0 \\ x^{2} & x \geq 0 \end{cases}$
163297	Divide	((81xz^3)/(36y))÷((27x^2z^2)/(12xy))	$\frac{81 x z^{3}}{36 y} \div \frac{27 x^{2} z^{2}}{12 x y}$
163298	Solve the Inequality for p	6p+5<=-2p-5	$6 p + 5 \leq - 2 p - 5$
163299	Simplify	(x-5)/((x-5)(x-4))	$\frac{x - 5}{(x - 5) (x - 4)}$
163300	Solve for x	z=m-x ; for x	$z = m - x$ ; for $x$