Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
171301	Graph	y=1/3(x-4)^2	$y = \frac{1}{3} {(x - 4)}^{2}$
171302	Multiply	x^(1/2)*x	$x^{\frac{1}{2}} \cdot x$
171303	Divide	(4x)/4	$\frac{4 x}{4}$
171304	Solve for b	1/5=-3/11b+1/2	$\frac{1}{5} = - \frac{3}{11} b + \frac{1}{2}$
171305	Find the Product	(x^2-1)^2	${(x^{2} - 1)}^{2}$
171306	Multiply	2*(-1/4)	$2 \cdot (- \frac{1}{4})$
171307	Multiply	7x^2y^3(2x^4y^5+6xy^3)	$7 x^{2} y^{3} (2 x^{4} y^{5} + 6 x y^{3})$
171308	Evaluate	2-5/2	$2 - \frac{5}{2}$
171309	Multiply	(b^2+5)(-b^2+7)	$(b^{2} + 5) (- b^{2} + 7)$
171310	Factor	25y^6z^5+29x^2y^4z^2	$25 y^{6} z^{5} + 29 x^{2} y^{4} z^{2}$
171311	Factor	a(2+x)-(2+x)	$a (2 + x) - (2 + x)$
171312	Solve for a	-1/2=-5/8a+1/2	$- \frac{1}{2} = - \frac{5}{8} a + \frac{1}{2}$
171313	Find the Standard Form of the Parabola	f(x)=-3(2-x)^2	$f (x) = - 3 {(2 - x)}^{2}$
171314	Solve for k	4-2/3k+7/6k-1/2=-k+2	$4 - \frac{2}{3} k + \frac{7}{6} k - \frac{1}{2} = - k + 2$
171315	Find the Domain and Range	f(-3)	$f (- 3)$
171316	Solve the Inequality for x	x^2-4x+5<=0	$x^{2} - 4 x + 5 \leq 0$
171317	Divide	(6x^2+x-12)/(2x+3)	$\frac{6 x^{2} + x - 12}{2 x + 3}$
171318	Solve the Inequality for v	-8v<-40	$- 8 v < - 40$
171319	Solve the Inequality for n	4n+3<6n+8-2n	$4 n + 3 < 6 n + 8 - 2 n$
171320	Solve for b	b^3=8	$b^{3} = 8$
171321	Find the Excluded Values	(y^2-y+5)/(y+4)	$\frac{y^{2} - y + 5}{y + 4}$
171322	Find the Discriminant	4x^2-45x-269=7x^2-3x+7	$4 x^{2} - 45 x - 269 = 7 x^{2} - 3 x + 7$
171323	Graph	y<=1/4x+3 y>=-x+5	$y \leq \frac{1}{4} x + 3$ $y \geq - x + 5$
171324	Simplify	12+3(8+x)	$12 + 3 (8 + x)$
171325	Solve the System of Equations	y=2x+4 y=x^2+x-2	$y = 2 x + 4$ $y = x^{2} + x - 2$
171326	Evaluate	4pi*10^2	$4 π \cdot 10^{2}$
171327	Simplify	(2x^2-4x-6)/(3x^2-6x-9)	$\frac{2 x^{2} - 4 x - 6}{3 x^{2} - 6 x - 9}$
171328	Find the Roots (Zeros)	P(x)=x^3+2x^2+x+2	$P (x) = x^{3} + 2 x^{2} + x + 2$
171329	Find the First Term	a_n=4n-1	$a_{n} = 4 n - 1$
171330	Convert to a Decimal	6/0	$\frac{6}{0}$
171331	Simplify	(10v^3t^-5)/((2v^2t^-2)^-5)	$\frac{10 v^{3} t^{- 5}}{{(2 v^{2} t^{- 2})}^{- 5}}$
171332	Simplify	((3d^-2)^-4)/(3d^10q)	$\frac{{(3 d^{- 2})}^{- 4}}{3 d^{10} q}$
171333	Solve the Inequality for P	8P+2>3P-15	$8 P + 2 > 3 P - 15$
171334	Evaluate	(-5)^0*(-5)/((-5)^-2)	${(- 5)}^{0} \cdot \frac{(- 5)}{{(- 5)}^{- 2}}$
171335	Evaluate	(x+h)/((x+h)^2+1)	$\frac{x + h}{{(x + h)}^{2} + 1}$
171336	Find the Roots (Zeros)	F(x)=((x-1)(x+1))/(6(x-4)(x+7))	$F (x) = \frac{(x - 1) (x + 1)}{6 (x - 4) (x + 7)}$
171337	Solve for x	8^(x^2)=2^(2x+1)	$8^{x^{2}} = 2^{2 x + 1}$
171338	Solve for x	x+2/3=5/6	$x + \frac{2}{3} = \frac{5}{6}$
171339	Find All Complex Solutions	2sin(theta)^2-3sin(theta)-2=0	$2 \sin^{2} (θ) - 3 \sin (θ) - 2 = 0$
171340	Evaluate	8 natural log of e^2- natural log of e^5	$8 \ln (e^{2}) - \ln (e^{5})$
171341	Solve for b	-1/3-1/12b=-1/2	$- \frac{1}{3} - \frac{1}{12} b = - \frac{1}{2}$
171342	Solve for x	x = square root of 1-x	$x = \sqrt{1 - x}$
171343	Simplify the Radical Expression	fourth root of 16x^15y^17	$\sqrt[4]{16 x^{15} y^{17}}$
171344	Simplify	(- fourth root of 6b^3)(3 fourth root of 8b^3)	$(- \sqrt[4]{6 b^{3}}) (3 \sqrt[4]{8 b^{3}})$
171345	Factor	-35x^2z^2+42x^5y^3z^4	$- 35 x^{2} z^{2} + 42 x^{5} y^{3} z^{4}$
171346	Solve the Inequality for x	15+x<=0	$15 + x \leq 0$
171347	Solve the Inequality for x	2<x/-5	$2 < \frac{x}{- 5}$
171348	Solve for a	3-6a=9-6a	$3 - 6 a = 9 - 6 a$
171349	Solve for p	140=20(2+p/30)	$140 = 20 (2 + \frac{p}{30})$
171350	Find f(g(x))	f(x)=x+4 g(x)=x-4	$f (x) = x + 4$ $g (x) = x - 4$
171351	Simplify	(-15(y^2)^5)/(-5y^2y^3)	$\frac{- 15 {(y^{2})}^{5}}{- 5 y^{2} y^{3}}$
171352	Simplify	(x^2+6x-7)/(x^4+8x^3+7x^2)*3x^2	$\frac{x^{2} + 6 x - 7}{x^{4} + 8 x^{3} + 7 x^{2}} \cdot 3 x^{2}$
171353	Write the Fraction in Simplest Form	3/5+1/5	$\frac{3}{5} + \frac{1}{5}$
171354	Solve the Inequality for k	4k-6<3k+k-1	$4 k - 6 < 3 k + k - 1$
171355	Solve for c	15=-3(2c+d)	$15 = - 3 (2 c + d)$
171356	Solve for c	-3/7=-1/5c-1/3	$- \frac{3}{7} = - \frac{1}{5} c - \frac{1}{3}$
171357	Solve the Inequality for x	2x^2<5x+12	$2 x^{2} < 5 x + 12$
171358	Solve for r	LA=2pirh	$L A = 2 π r h$
171359	Solve the Inequality for x	-2(2x+9)>-4x+9	$- 2 (2 x + 9) > - 4 x + 9$
171360	Find the Exact Value	( square root of 2)/2+( square root of 2)/2	$\frac{\sqrt{2}}{2} + \frac{\sqrt{2}}{2}$
171361	Find the Exact Value	sin(30 degrees )^2+cos(45 degrees )^2	$\sin^{2} (30 °) + \cos^{2} (45 °)$
171362	Solve for x	8/3x-2=2/3x-12	$\frac{8}{3} x - 2 = \frac{2}{3} x - 12$
171363	Solve for x	34=-2+9x+16+x	$34 = - 2 + 9 x + 16 + x$
171364	Graph	3x<=-6	$3 x \leq - 6$
171365	Solve for x	square root of x-3 = square root of x+3	$\sqrt{x - 3} = \sqrt{x} + 3$
171366	Find the Roots (Zeros)	p(x)=x(2x+5)(x+1)	$p (x) = x (2 x + 5) (x + 1)$
171367	Simplify	((-2hk^4)^3)/(2h^-8k^-8)	$\frac{{(- 2 h k^{4})}^{3}}{2 h^{- 8} k^{- 8}}$
171368	Solve for x	5-(x+5)>-2(x+4)	$5 - (x + 5) > - 2 (x + 4)$
171369	Solve the Inequality for x	2<x-10	$2 < x - 10$
171370	Solve for θ	2sin(theta)=- square root of 2	$2 \sin (θ) = - \sqrt{2}$
171371	Simplify	(2/4)^-3	${(\frac{2}{4})}^{- 3}$
171372	Solve for m	m^2-9=0	$m^{2} - 9 = 0$
171373	Graph	f(x)=x^3+x^2	$f (x) = x^{3} + x^{2}$
171374	Solve for x	log of 5x^3- log of x^2=2	$\log (5 x^{3}) - \log (x^{2}) = 2$
171375	Solve for x	0=4x^2+12x+9	$0 = 4 x^{2} + 12 x + 9$
171376	Evaluate	4^x=8	$4^{x} = 8$
171377	Graph	y>=\|x\|+1	$y \geq \| x \| + 1$
171378	Simplify	(x^3y^-2z)(x^-5y^-5z^-1)	$(x^{3} y^{- 2} z) (x^{- 5} y^{- 5} z^{- 1})$
171379	Simplify	(2x)/(y^2-x^2)-x/(y-x)	$\frac{2 x}{y^{2} - x^{2}} - \frac{x}{y - x}$
171380	Write in Standard Form	(2- square root of -6)^2	${(2 - \sqrt{- 6})}^{2}$
171381	Find the Inverse	f(x)=1/(4x)-7	$f (x) = \frac{1}{4 x} - 7$
171382	Solve the System of Inequalities	-2x-7>1 or x-2>=-1	$- 2 x - 7 > 1$ or $x - 2 \geq - 1$
171383	Find the LCD	(5x)/(3x^2+5x-2) and 5/(3x^2-7x+2)	$\frac{5 x}{3 x^{2} + 5 x - 2}$ and $\frac{5}{3 x^{2} - 7 x + 2}$
171384	Graph	x-y<2 and x>1	$x - y < 2$ and $x > 1$
171385	Solve the Inequality for x	(x+3)/(x-1)<=(x-3)/(x+5)	$\frac{x + 3}{x - 1} \leq \frac{x - 3}{x + 5}$
171386	Find the Volume	sphere (9cm)	 $\begin{array}{r} r = & 9 cm \end{array}$
171387	Factor	-48x^4y^3z^2-42y^2	$- 48 x^{4} y^{3} z^{2} - 42 y^{2}$
171388	Solve the Inequality for k	k/4<-4	$\frac{k}{4} < - 4$
171389	Evaluate	1/(1^2+1)	$\frac{1}{1^{2} + 1}$
171390	Solve the Absolute Value Inequality for x	\|-3x+6\|=2	$\| - 3 x + 6 \| = 2$
171391	Solve for k	5/4k-3/4+1/2k=-1/4k-1/2	$\frac{5}{4} k - \frac{3}{4} + \frac{1}{2} k = - \frac{1}{4} k - \frac{1}{2}$
171392	Solve the Inequality for x	1/(x^2-4)<=0	$\frac{1}{x^{2} - 4} \leq 0$
171393	Factor	-7x^6y^5-20x^2yz^3	$- 7 x^{6} y^{5} - 20 x^{2} y z^{3}$
171394	Write in Standard Form	(3c+2)(c^2-6c-4)	$(3 c + 2) (c^{2} - 6 c - 4)$
171395	Solve for b	a=h/b	$a = \frac{h}{b}$
171396	Evaluate	(10^2)/-5+(10^2)/-2	$\frac{10^{2}}{- 5} + \frac{10^{2}}{- 2}$
171397	Solve for w	(w+3)/7=(w-1)/8	$\frac{w + 3}{7} = \frac{w - 1}{8}$
171398	Solve for b	-(3-6b)=6b+5	$- (3 - 6 b) = 6 b + 5$
171399	Divide	(8/10)÷(2/5)	$\frac{8}{10} \div \frac{2}{5}$
171400	Find the Exact Value	i^32	$i^{32}$