Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
171301	Solve the Inequality for x	x^2-4x+5<=0	$x^{2} - 4 x + 5 \leq 0$
171302	Divide	(6x^2+x-12)/(2x+3)	$\frac{6 x^{2} + x - 12}{2 x + 3}$
171303	Solve the Inequality for v	-8v<-40	$- 8 v < - 40$
171304	Solve the Inequality for n	4n+3<6n+8-2n	$4 n + 3 < 6 n + 8 - 2 n$
171305	Solve for b	b^3=8	$b^{3} = 8$
171306	Find the Excluded Values	(y^2-y+5)/(y+4)	$\frac{y^{2} - y + 5}{y + 4}$
171307	Find the Discriminant	4x^2-45x-269=7x^2-3x+7	$4 x^{2} - 45 x - 269 = 7 x^{2} - 3 x + 7$
171308	Graph	y<=1/4x+3 y>=-x+5	$y \leq \frac{1}{4} x + 3$ $y \geq - x + 5$
171309	Simplify	12+3(8+x)	$12 + 3 (8 + x)$
171310	Solve the System of Equations	y=2x+4 y=x^2+x-2	$y = 2 x + 4$ $y = x^{2} + x - 2$
171311	Evaluate	4pi*10^2	$4 π \cdot 10^{2}$
171312	Simplify	(2x^2-4x-6)/(3x^2-6x-9)	$\frac{2 x^{2} - 4 x - 6}{3 x^{2} - 6 x - 9}$
171313	Find the Roots (Zeros)	P(x)=x^3+2x^2+x+2	$P (x) = x^{3} + 2 x^{2} + x + 2$
171314	Find the First Term	a_n=4n-1	$a_{n} = 4 n - 1$
171315	Convert to a Decimal	6/0	$\frac{6}{0}$
171316	Simplify	(10v^3t^-5)/((2v^2t^-2)^-5)	$\frac{10 v^{3} t^{- 5}}{{(2 v^{2} t^{- 2})}^{- 5}}$
171317	Simplify	((3d^-2)^-4)/(3d^10q)	$\frac{{(3 d^{- 2})}^{- 4}}{3 d^{10} q}$
171318	Solve the Inequality for P	8P+2>3P-15	$8 P + 2 > 3 P - 15$
171319	Evaluate	(-5)^0*(-5)/((-5)^-2)	${(- 5)}^{0} \cdot \frac{(- 5)}{{(- 5)}^{- 2}}$
171320	Evaluate	(x+h)/((x+h)^2+1)	$\frac{x + h}{{(x + h)}^{2} + 1}$
171321	Find the Roots (Zeros)	F(x)=((x-1)(x+1))/(6(x-4)(x+7))	$F (x) = \frac{(x - 1) (x + 1)}{6 (x - 4) (x + 7)}$
171322	Solve for x	8^(x^2)=2^(2x+1)	$8^{x^{2}} = 2^{2 x + 1}$
171323	Solve for x	x+2/3=5/6	$x + \frac{2}{3} = \frac{5}{6}$
171324	Find All Complex Solutions	2sin(theta)^2-3sin(theta)-2=0	$2 \sin^{2} (θ) - 3 \sin (θ) - 2 = 0$
171325	Evaluate	8 natural log of e^2- natural log of e^5	$8 \ln (e^{2}) - \ln (e^{5})$
171326	Solve for b	-1/3-1/12b=-1/2	$- \frac{1}{3} - \frac{1}{12} b = - \frac{1}{2}$
171327	Solve for x	x = square root of 1-x	$x = \sqrt{1 - x}$
171328	Simplify the Radical Expression	fourth root of 16x^15y^17	$\sqrt[4]{16 x^{15} y^{17}}$
171329	Simplify	(- fourth root of 6b^3)(3 fourth root of 8b^3)	$(- \sqrt[4]{6 b^{3}}) (3 \sqrt[4]{8 b^{3}})$
171330	Factor	-35x^2z^2+42x^5y^3z^4	$- 35 x^{2} z^{2} + 42 x^{5} y^{3} z^{4}$
171331	Solve the Inequality for x	15+x<=0	$15 + x \leq 0$
171332	Solve the Inequality for x	2<x/-5	$2 < \frac{x}{- 5}$
171333	Solve for a	3-6a=9-6a	$3 - 6 a = 9 - 6 a$
171334	Solve for p	140=20(2+p/30)	$140 = 20 (2 + \frac{p}{30})$
171335	Find f(g(x))	f(x)=x+4 g(x)=x-4	$f (x) = x + 4$ $g (x) = x - 4$
171336	Simplify	(-15(y^2)^5)/(-5y^2y^3)	$\frac{- 15 {(y^{2})}^{5}}{- 5 y^{2} y^{3}}$
171337	Simplify	(x^2+6x-7)/(x^4+8x^3+7x^2)*3x^2	$\frac{x^{2} + 6 x - 7}{x^{4} + 8 x^{3} + 7 x^{2}} \cdot 3 x^{2}$
171338	Write the Fraction in Simplest Form	3/5+1/5	$\frac{3}{5} + \frac{1}{5}$
171339	Solve the Inequality for k	4k-6<3k+k-1	$4 k - 6 < 3 k + k - 1$
171340	Solve for c	15=-3(2c+d)	$15 = - 3 (2 c + d)$
171341	Solve for c	-3/7=-1/5c-1/3	$- \frac{3}{7} = - \frac{1}{5} c - \frac{1}{3}$
171342	Solve the Inequality for x	2x^2<5x+12	$2 x^{2} < 5 x + 12$
171343	Solve for r	LA=2pirh	$L A = 2 π r h$
171344	Solve the Inequality for x	-2(2x+9)>-4x+9	$- 2 (2 x + 9) > - 4 x + 9$
171345	Find the Exact Value	( square root of 2)/2+( square root of 2)/2	$\frac{\sqrt{2}}{2} + \frac{\sqrt{2}}{2}$
171346	Find the Exact Value	sin(30 degrees )^2+cos(45 degrees )^2	$\sin^{2} (30 °) + \cos^{2} (45 °)$
171347	Solve for x	8/3x-2=2/3x-12	$\frac{8}{3} x - 2 = \frac{2}{3} x - 12$
171348	Solve for x	34=-2+9x+16+x	$34 = - 2 + 9 x + 16 + x$
171349	Graph	3x<=-6	$3 x \leq - 6$
171350	Solve for x	square root of x-3 = square root of x+3	$\sqrt{x - 3} = \sqrt{x} + 3$
171351	Find the Roots (Zeros)	p(x)=x(2x+5)(x+1)	$p (x) = x (2 x + 5) (x + 1)$
171352	Simplify	((-2hk^4)^3)/(2h^-8k^-8)	$\frac{{(- 2 h k^{4})}^{3}}{2 h^{- 8} k^{- 8}}$
171353	Solve for x	5-(x+5)>-2(x+4)	$5 - (x + 5) > - 2 (x + 4)$
171354	Solve the Inequality for x	2<x-10	$2 < x - 10$
171355	Solve for θ	2sin(theta)=- square root of 2	$2 \sin (θ) = - \sqrt{2}$
171356	Simplify	(2/4)^-3	${(\frac{2}{4})}^{- 3}$
171357	Solve for m	m^2-9=0	$m^{2} - 9 = 0$
171358	Graph	f(x)=x^3+x^2	$f (x) = x^{3} + x^{2}$
171359	Solve for x	log of 5x^3- log of x^2=2	$\log (5 x^{3}) - \log (x^{2}) = 2$
171360	Solve for x	0=4x^2+12x+9	$0 = 4 x^{2} + 12 x + 9$
171361	Evaluate	4^x=8	$4^{x} = 8$
171362	Graph	y>=\|x\|+1	$y \geq \| x \| + 1$
171363	Simplify	(x^3y^-2z)(x^-5y^-5z^-1)	$(x^{3} y^{- 2} z) (x^{- 5} y^{- 5} z^{- 1})$
171364	Simplify	(2x)/(y^2-x^2)-x/(y-x)	$\frac{2 x}{y^{2} - x^{2}} - \frac{x}{y - x}$
171365	Write in Standard Form	(2- square root of -6)^2	${(2 - \sqrt{- 6})}^{2}$
171366	Find the Inverse	f(x)=1/(4x)-7	$f (x) = \frac{1}{4 x} - 7$
171367	Solve the System of Inequalities	-2x-7>1 or x-2>=-1	$- 2 x - 7 > 1$ or $x - 2 \geq - 1$
171368	Find the LCD	(5x)/(3x^2+5x-2) and 5/(3x^2-7x+2)	$\frac{5 x}{3 x^{2} + 5 x - 2}$ and $\frac{5}{3 x^{2} - 7 x + 2}$
171369	Graph	x-y<2 and x>1	$x - y < 2$ and $x > 1$
171370	Solve the Inequality for x	(x+3)/(x-1)<=(x-3)/(x+5)	$\frac{x + 3}{x - 1} \leq \frac{x - 3}{x + 5}$
171371	Find the Volume	sphere (9cm)	 $\begin{array}{r} r = & 9 cm \end{array}$
171372	Factor	-48x^4y^3z^2-42y^2	$- 48 x^{4} y^{3} z^{2} - 42 y^{2}$
171373	Solve the Inequality for k	k/4<-4	$\frac{k}{4} < - 4$
171374	Evaluate	1/(1^2+1)	$\frac{1}{1^{2} + 1}$
171375	Solve the Absolute Value Inequality for x	\|-3x+6\|=2	$\| - 3 x + 6 \| = 2$
171376	Solve for k	5/4k-3/4+1/2k=-1/4k-1/2	$\frac{5}{4} k - \frac{3}{4} + \frac{1}{2} k = - \frac{1}{4} k - \frac{1}{2}$
171377	Solve the Inequality for x	1/(x^2-4)<=0	$\frac{1}{x^{2} - 4} \leq 0$
171378	Factor	-7x^6y^5-20x^2yz^3	$- 7 x^{6} y^{5} - 20 x^{2} y z^{3}$
171379	Write in Standard Form	(3c+2)(c^2-6c-4)	$(3 c + 2) (c^{2} - 6 c - 4)$
171380	Solve for b	a=h/b	$a = \frac{h}{b}$
171381	Evaluate	(10^2)/-5+(10^2)/-2	$\frac{10^{2}}{- 5} + \frac{10^{2}}{- 2}$
171382	Solve for w	(w+3)/7=(w-1)/8	$\frac{w + 3}{7} = \frac{w - 1}{8}$
171383	Solve for b	-(3-6b)=6b+5	$- (3 - 6 b) = 6 b + 5$
171384	Divide	(8/10)÷(2/5)	$\frac{8}{10} \div \frac{2}{5}$
171385	Find the Exact Value	i^32	$i^{32}$
171386	Simplify	((4m-2n^8)/(9m-6n-8))^(1/2)	${(\frac{4 m - 2 n^{8}}{9 m - 6 n - 8})}^{\frac{1}{2}}$
171387	Factor	-7x^3y^4z^3+4z^5	$- 7 x^{3} y^{4} z^{3} + 4 z^{5}$
171388	Solve for x	9/4(8x-4+4/3x)=2-x	$\frac{9}{4} (8 x - 4 + \frac{4}{3} x) = 2 - x$
171389	Solve for x	r=x-h	$r = x - h$
171390	Graph	square root of x	$\sqrt[2]{x}$
171391	Solve the Inequality for x	1/3<=(x+1)/4<4/5	$\frac{1}{3} \leq \frac{x + 1}{4} < \frac{4}{5}$
171392	Solve for a	-1/4+3/4a=1/2	$- \frac{1}{4} + \frac{3}{4} a = \frac{1}{2}$
171393	Graph	f(x)=2x,x<1; 5,x=1; x^2,x>1	$f (x) = {\begin{cases} 2 x, x < 1 \\ 5, x = 1 \\ x^{2}, x > 1 \end{cases}$
171394	Multiply	(4x+3)*(4x^2+5x-1)	$(4 x + 3) \cdot (4 x^{2} + 5 x - 1)$
171395	Graph	f(x)=x if x>0; -1 if x=0; -3 if x<0	$f (x) = {\begin{cases} x & x > 0 \\ - 1 & x = 0 \\ - 3 & x < 0 \end{cases}$
171396	Solve for x	x+10=x^2+2x+1	$x + 10 = x^{2} + 2 x + 1$
171397	Solve the Inequality for x	(x+10)/3>=2x	$\frac{x + 10}{3} \geq 2 x$
171398	Find the Domain and Range	w(x)=-(3x)^(1/2)-4	$w (x) = - {(3 x)}^{\frac{1}{2}} - 4$
171399	Write as a Single Logarithm	log base b of 9-2 log base b of 3	$\log_{b} (9) - 2 \log_{b} (3)$
171400	Solve for x	2x-(x-2)/2=x/3-6	$2 x - \frac{x - 2}{2} = \frac{x}{3} - 6$