Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
236301	Convert to Interval Notation	x<6 or x<7	$x < 6$ or $x < 7$
236302	Simplify	-5q^2w^3(4q+7w)+4qw^2(7q^2w+2q)-3qw(3q^2w^2+9)	$- 5 q^{2} w^{3} (4 q + 7 w) + 4 q w^{2} (7 q^{2} w + 2 q) - 3 q w (3 q^{2} w^{2} + 9)$
236303	Solve for y	(7+8y)/15-8/3=(2y)/5	$\frac{7 + 8 y}{15} - \frac{8}{3} = \frac{2 y}{5}$
236304	Write the Fraction in Simplest Form	square root of x^(3/4)x^-1	$\sqrt{x^{\frac{3}{4}} x^{- 1}}$
236305	Evaluate	3*h(2)-f(-9)	$3 \cdot h (2) - f (- 9)$
236306	Simplify	a^4-81-(a^2+9)^2	$a^{4} - 81 - {(a^{2} + 9)}^{2}$
236307	Solve the Inequality for a	a+8-2(a-12)>0	$a + 8 - 2 (a - 12) > 0$
236308	Find the GCF	-60+60n^2+50n^3	$- 60 + 60 n^{2} + 50 n^{3}$
236309	Write in Standard Form	2x^2+9	$2 x^{2} + 9$
236310	Solve the Rational Equation for x	(2^(2x+2))(2^(3x-7))=2^25	$(2^{2 x + 2}) (2^{3 x - 7}) = 2^{25}$
236311	Find the First Term	n^2+5	$n^{2} + 5$
236312	Round to the Nearest Whole Number	1/3	$\frac{1}{3}$
236313	Solve for x	2x+18+4x+11+55=180	$2 x + 18 + 4 x + 11 + 55 = 180$
236314	Simplify	square root of 3x^6* square root of 8x^3	$\sqrt{3 x^{6}} \cdot \sqrt{8 x^{3}}$
236315	Solve for x	2x^2+5=x^2+30	$2 x^{2} + 5 = x^{2} + 30$
236316	Simplify the Radical Expression	- square root of 4+ square root of -200- square root of 1+ square root of -18	$- \sqrt{4} + \sqrt{- 200} - \sqrt{1} + \sqrt{- 18}$
236317	Simplify	i square root of 2*i square root of 2	$i \sqrt{2} \cdot i \sqrt{2}$
236318	Solve for h	\|h+3\|<5	$\| h + 3 \| < 5$
236319	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (5,6) and has a slope of 3/5 ?	What is the equation of the line that passes through the point $(5, 6)$ and has a slope of $\frac{3}{5}$ ?
236320	Evaluate	-3(2)^-1	$- 3 {(2)}^{- 1}$
236321	Evaluate Using the Given Value	x^4*x^-2 when x=5	$x^{4} \cdot x^{- 2}$ when $x = 5$
236322	Graph	table[[x,y],[1,2],[2,4],[3,6]]	$\begin{array}{c} x & y \\ 1 & 2 \\ 2 & 4 \\ 3 & 6 \end{array}$
236323	Simplify the Radical Expression	( square root of 36)/( square root of 6)	$\frac{\sqrt{36}}{\sqrt{6}}$
236324	Solve for x	cube root of 5x^2+7x-4- cube root of 8x=0	$\sqrt[3]{5 x^{2} + 7 x - 4} - \sqrt[3]{8 x} = 0$
236325	Simplify	(d^(4/3))^0	${(d^{\frac{4}{3}})}^{0}$
236326	Simplify	((14c^2f^5)/(9a^2))÷((35cf^4)/(18ab^3))	$\frac{14 c^{2} f^{5}}{9 a^{2}} \div \frac{35 c f^{4}}{18 a b^{3}}$
236327	Multiply	16x^4(2x^2y)	$16 x^{4} (2 x^{2} y)$
236328	Simplify	((x-3)/(x^2+4x-21))÷((x^2-25)/(x-5))	$\frac{x - 3}{x^{2} + 4 x - 21} \div \frac{x^{2} - 25}{x - 5}$
236329	Simplify	(x^3)^(2/3)y^3	${(x^{3})}^{\frac{2}{3}} y^{3}$
236330	Simplify	square root of -1/8	$\sqrt{- \frac{1}{8}}$
236331	Simplify the Radical Expression	4 square root of 15(-3 square root of 6+5)	$4 \sqrt{15} (- 3 \sqrt{6} + 5)$
236332	Solve for x	4/5+(x+4)/x=-7/(5x)	$\frac{4}{5} + \frac{x + 4}{x} = \frac{- 7}{5 x}$
236333	Evaluate	( cube root of 6* cube root of 72)/( cube root of 2)	$\frac{\sqrt[3]{6} \cdot \sqrt[3]{72}}{\sqrt[3]{2}}$
236334	Describe the Transformation	g(x) = log base 2 of x+4-1	$g (x) = \log_{2} (x + 4) - 1$
236335	Write Using Negative Exponents	4/(y^5)	$\frac{4}{y^{5}}$
236336	Graph	4y^2+x=56y-194 ?	$4 y^{2} + x = 56 y - 194$ ?
236337	Graph	-11>-c/11	$- 11 > - \frac{c}{11}$
236338	Find All Complex Solutions	square root of x+10-9=-7	$\sqrt{x + 10} - 9 = - 7$
236339	Find the Roots (Zeros)	4/x=17/(8x)+3	$\frac{4}{x} = \frac{17}{8 x} + 3$
236340	Graph	x<-5 or x>=3	$x < - 5$ or $x \geq 3$
236341	Find the Product	(2x^2)^2	${(2 x^{2})}^{2}$
236342	Solve for m	2m(m-5)+10=0	$2 m (m - 5) + 10 = 0$
236343	Simplify	-2x square root of 3xy^3z^7	$- 2 x \sqrt{3 x y^{3}} z^{7}$
236344	Convert to a Decimal	cot(180)deg	$\cot (180)$ degrees
236345	Simplify	square root of -6* square root of -3* square root of -5	$\sqrt{- 6} \cdot \sqrt{- 3} \cdot \sqrt{- 5}$
236346	Solve for x	\|3x\|-3=3-6x	$\| 3 x \| - 3 = 3 - 6 x$
236347	Simplify	cube root of 27a^3* fourth root of 16b^8	$\sqrt[3]{27 a^{3}} \cdot \sqrt[4]{16 b^{8}}$
236348	Solve for c	4(2c-8)=16	$4 (2 c - 8) = 16$
236349	Solve for z	(4z)/-16=-16	$\frac{4 z}{- 16} = - 16$
236350	Solve for x	x/2+5=x	$\frac{x}{2} + 5 = x$
236351	Solve for x	x^2+12-8x=0	$x^{2} + 12 - 8 x = 0$
236352	Solve the Inequality for x	5(x-3)+6x>-14	$5 (x - 3) + 6 x > - 14$
236353	Solve for b	1/5b+1/3=-1/2b+1/2	$\frac{1}{5} b + \frac{1}{3} = - \frac{1}{2} b + \frac{1}{2}$
236354	Find the Holes in the Graph	f(x)=(x^2+5x+8)/(x+3)	$f (x) = \frac{x^{2} + 5 x + 8}{x + 3}$
236355	Simplify	5 cube root of 2a+ cube root of 8a	$5 \sqrt[3]{2 a} + \sqrt[3]{8 a}$
236356	Subtract	(3x^5-9)-(11+13x^2-x^4)-(10x^2+x^4)	$(3 x^{5} - 9) - (11 + 13 x^{2} - x^{4}) - (10 x^{2} + x^{4})$
236357	Graph	-2x+y=0 , x<=0	$- 2 x + y = 0$ , $x \leq 0$
236358	Solve for x	-(x+2/3)+1/2=7/6-1/2x	$- (x + \frac{2}{3}) + \frac{1}{2} = \frac{7}{6} - \frac{1}{2} x$
236359	Evaluate	(4(2)+4^2)/2	$\frac{4 (2) + 4^{2}}{2}$
236360	Combine Like Terms	2.5+4(3/4a-5)-9.5	$2.5 + 4 (\frac{3}{4} a - 5) - 9.5$
236361	Solve for p	12/25=p/100	$\frac{12}{25} = \frac{p}{100}$
236362	Evaluate	fifth root of 10^2* cube root of 10^4	$\sqrt[5]{10^{2}} \cdot \sqrt[3]{10^{4}}$
236363	Simplify	2( square root of 48+ square root of 27)	$2 (\sqrt{48} + \sqrt{27})$
236364	Evaluate	(1/3)^x=27	${(\frac{1}{3})}^{x} = 27$
236365	Find the Excluded Values	(24+5n-n^2)/(n^2-16n+64)	$\frac{24 + 5 n - n^{2}}{n^{2} - 16 n + 64}$
236366	Find the Inverse	What is the inverse of f(x)=x^2-6x+9	What is the inverse of $f (x) = x^{2} - 6 x + 9$
236367	Simplify	(1/7)^(x-2)-(1/7)^x	${(\frac{1}{7})}^{x - 2} - {(\frac{1}{7})}^{x}$
236368	Simplify the Radical Expression	square root of 63- square root of 700- square root of 112	$\sqrt{63} - \sqrt{700} - \sqrt{112}$
236369	Solve for x	14+3x<=23	$14 + 3 x \leq 23$
236370	Simplify	fourth root of 12x^0	$\sqrt[4]{12 x^{0}}$
236371	Multiply	(9- square root of 8)(9+ square root of 8)	$(9 - \sqrt{8}) (9 + \sqrt{8})$
236372	Solve the System of Equations	-2x+2y=12 and -2x+8y=-12	$- 2 x + 2 y = 12$ and $- 2 x + 8 y = - 12$
236373	Simplify	(w^2+5)(w^4-5w^2+25)	$(w^{2} + 5) (w^{4} - 5 w^{2} + 25)$
236374	Find All Complex Solutions	2x+3y=10	$2 x + 3 y = 10$
236375	Divide	((x^2-2x-3)/(x^3))÷((x^2-6x-7)/x)	$\frac{x^{2} - 2 x - 3}{x^{3}} \div \frac{x^{2} - 6 x - 7}{x}$
236376	Divide	(1+i)/(1-i)	$\frac{1 + i}{1 - i}$
236377	Solve the Absolute Value Inequality for w	\|w\|=0	$\| w \| = 0$
236378	Solve for x	(x-3)(x+4)=x^2+4	$(x - 3) (x + 4) = x^{2} + 4$
236379	Evaluate	cos((-3pi)/2)	$\cos (\frac{- 3 π}{2})$
236380	Solve for y	y=2(4)^-2	$y = 2 {(4)}^{- 2}$
236381	Find the Roots (Zeros)	square root of x+6+x=6	$\sqrt{x + 6} + x = 6$
236382	Divide	-6÷(8/9)	$- 6 \div \frac{8}{9}$
236383	Evaluate	y=20*0.5^3	$y = 20 \cdot {0.5}^{3}$
236384	Factor	16x^2-y^2-2yz-z^2	$16 x^{2} - y^{2} - 2 y z - z^{2}$
236385	Find the Product	-4b(1-9b-2b^2)	$- 4 b (1 - 9 b - 2 b^{2})$
236386	Simplify	((x+8)/(x-9)*(x^2+10x+16)/(x-8))÷((x^2+10x+16)/(4x^2-68x+288))	$\frac{x + 8}{x - 9} \cdot \frac{x^{2} + 10 x + 16}{x - 8} \div \frac{x^{2} + 10 x + 16}{4 x^{2} - 68 x + 288}$
236387	Simplify	1*10^-6	$1 \cdot 10^{- 6}$
236388	Divide Using Long Polynomial Division	(3x^5+x^4-4x^2)/x	$\frac{3 x^{5} + x^{4} - 4 x^{2}}{x}$
236389	Simplify	sec(x)-sin(x)^2sec(x)	$\sec (x) - \sin^{2} (x) \sec (x)$
236390	Find the Exact Value	tan(660 degrees )	$\tan (660 °)$
236391	Divide	(-5/12)÷(25/18)	$- \frac{5}{12} \div \frac{25}{18}$
236392	Solve for a	a^3-x^3=0	$a^{3} - x^{3} = 0$
236393	Find the Complex Conjugate	-7/2+1/2i	$- \frac{7}{2} + \frac{1}{2} i$
236394	Simplify	Simplify - square root of 36x^8	Simplify $- \sqrt{36 x^{8}}$
236395	Solve for t	cube root of (2t)/3=5	$\sqrt[3]{\frac{2 t}{3}} = 5$
236396	Find the Domain and Range	2+ square root of x-1	$2 + \sqrt{x - 1}$
236397	Evaluate the Function	F(3)=(1/6)^x	$F (3) = {(\frac{1}{6})}^{x}$
236398	Solve the Rational Equation for x	4/(x+1)-6=-(4x)/(x+1)	$\frac{4}{x + 1} - 6 = - \frac{4 x}{x + 1}$
236399	Simplify	sin(-t)-sin(t)	$\sin (- t) - \sin (t)$
236400	Simplify	(x^2y^6*xy^-4)^3	${(x^{2} y^{6} \cdot x y^{- 4})}^{3}$