Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
204401	Write in Standard Form	f(x)=(2x^3)/3+5/3+15x	$f (x) = \frac{2 x^{3}}{3} + \frac{5}{3} + 15 x$
204402	Simplify	(3^-1)/((3^2)^-6)	$\frac{3^{- 1}}{{(3^{2})}^{- 6}}$
204403	Graph	y=(x^2-4x+3)/(x^2-9)	$y = \frac{x^{2} - 4 x + 3}{x^{2} - 9}$
204404	Simplify	fifth root of (3072h^8)/(243f^5)	$\sqrt[5]{\frac{3072 h^{8}}{243 f^{5}}}$
204405	Simplify	(1-sin(theta)^2)tan(theta)sec(theta)	$(1 - \sin^{2} (θ)) \cdot \tan (θ) \cdot \sec (θ)$
204406	Solve for b	6(1 1/4+b)=10	$6 (1 \frac{1}{4} + b) = 10$
204407	Evaluate the Function	p(x)=2x^3+4x^2+6x+7 , x=1/2	$p (x) = 2 x^{3} + 4 x^{2} + 6 x + 7$ , $x = \frac{1}{2}$
204408	Simplify	(x^3+4x^2-12x)/(x^2+x-30)	$\frac{x^{3} + 4 x^{2} - 12 x}{x^{2} + x - 30}$
204409	Solve for x	2x^3+2x-3=-0.5\|x-4\|	$2 x^{3} + 2 x - 3 = - 0.5 \| x - 4 \|$
204410	Find the End Behavior	f(x)=-738x^3+18x^5+4392x+159x^4-1884x^2-3x^6+8640	$f (x) = - 738 x^{3} + 18 x^{5} + 4392 x + 159 x^{4} - 1884 x^{2} - 3 x^{6} + 8640$
204411	Find the Roots (Zeros)	-2cos(5/4x)	$- 2 \cos (\frac{5}{4} x)$
204412	Graph	2x-y^2=4y+10	$2 x - y^{2} = 4 y + 10$
204413	Solve the Inequality for x	x^2+x-6>=-4	$x^{2} + x - 6 \geq - 4$
204414	Solve for m	(2m-7)/(3n)=3	$\frac{2 m - 7}{3 n} = 3$
204415	Simplify	7y^2-5y+9y-5y^2	$7 y^{2} - 5 y + 9 y - 5 y^{2}$
204416	Simplify	(2p^3)^0(p^4)	${(2 p^{3})}^{0} (p^{4})$
204417	Solve for t	d=(r+c)t	$d = (r + c) t$
204418	Multiply	(a-x)(b-y)	$(a - x) (b - y)$
204419	Simplify	(1-cos(theta)^2)cot(theta)sec(theta)	$(1 - \cos^{2} (θ)) \cdot \cot (θ) \cdot \sec (θ)$
204420	Find the Inverse	g(x) = cube root of x+1+2	$g (x) = \sqrt[3]{x + 1 + 2}$
204421	Simplify	Find the sum of 4x^2+3x+2 and 7x^2+7x+3	Find the sum of $4 x^{2} + 3 x + 2$ and $7 x^{2} + 7 x + 3$
204422	Simplify	-3y+5-2x-2+6y+x	$- 3 y + 5 - 2 x - 2 + 6 y + x$
204423	Solve for d	8000=pi/6d^3	$8000 = \frac{π}{6} d^{3}$
204424	Simplify	2b^(-1/4)*3b^(-3/2)	$2 b^{- \frac{1}{4}} \cdot 3 b^{- \frac{3}{2}}$
204425	Graph	y<-1 x>4	$y < - 1$ $x > 4$
204426	Solve in Terms of the Arbitrary Variable sₙ	s_n=-26240 , n=8 , r=-3	$s_{n} = - 26240$ , $n = 8$ , $r = - 3$
204427	Simplify	((7x^3)/3)÷((14x^2)/6)	$\frac{7 x^{3}}{3} \div \frac{14 x^{2}}{6}$
204428	Find the Inverse	y=3 square root of x	$y = 3 \sqrt{x}$
204429	Simplify the Radical Expression	5x^4y^2 square root of 4/25x^20y^30	$5 x^{4} y^{2} \sqrt{\frac{4}{25} x^{20} y^{30}}$
204430	Solve by Graphing	y=-x+1 x=3	$y = - x + 1$ $x = 3$
204431	Simplify	(16x^3-8x^2+4x^4)/(2x)	$\frac{16 x^{3} - 8 x^{2} + 4 x^{4}}{2 x}$
204432	Find the x and y Intercepts	f(x)=2 square root of x+1	$f (x) = 2 \sqrt{x + 1}$
204433	Find All Complex Solutions	\|x+2\|+x=-2	$\| x + 2 \| + x = - 2$
204434	Solve for y	6xy+3y=-72	$6 x y + 3 y = - 72$
204435	Solve for x	square root of 4x^2-4x+1=2x-1	$\sqrt{4 x^{2} - 4 x + 1} = 2 x - 1$
204436	Evaluate	(-2x^2-8x+3)+(-9x^2+x+3)	$(- 2 x^{2} - 8 x + 3) + (- 9 x^{2} + x + 3)$
204437	Simplify the Radical Expression	2b^(1/2)(3b^(1/2)c^(1/3))^2	$2 b^{\frac{1}{2}} {(3 b^{\frac{1}{2}} c^{\frac{1}{3}})}^{2}$
204438	Find the Domain and Range	f(x)=(3x+1)^(1/3)	$f (x) = {(3 x + 1)}^{\frac{1}{3}}$
204439	Evaluate	(5^2-15)/(10-2^3)	$\frac{5^{2} - 15}{10 - 2^{3}}$
204440	Simplify	10 square root of 6+ square root of 48-8 square root of 3+ square root of 54	$10 \sqrt{6} + \sqrt{48} - 8 \sqrt{3} + \sqrt{54}$
204441	Simplify the Radical Expression	cube root of (x^6)/27	$\sqrt[3]{\frac{x^{6}}{27}}$
204442	Simplify	fourth root of 7^5* fourth root of 7	$\sqrt[4]{7^{5}} \cdot \sqrt[4]{7}$
204443	Solve for x	f^-1((3+x)/(x-2))=x+1	$f^{- 1} (\frac{3 + x}{x - 2}) = x + 1$
204444	Find the Product	square root of 13* ninth root of 13	$\sqrt{13} \cdot \sqrt[9]{13}$
204445	Solve for x	3 square root of x-2x=-5	$3 \sqrt{x} - 2 x = - 5$
204446	Solve for k	square root of k+2-x=0	$\sqrt{k + 2} - x = 0$
204447	Simplify	25x^2+16-40x-64y^2	$25 x^{2} + 16 - 40 x - 64 y^{2}$
204448	Simplify	4x^2y*-3x^-5y^2	$4 x^{2} y \cdot - 3 x^{- 5} y^{2}$
204449	Rationalize the Denominator	(x^2-x+5)/( square root of x)	$\frac{x^{2} - x + 5}{\sqrt{x}}$
204450	Evaluate	mg=3	$mg = 3$
204451	Solve the System of Equations	x^3+y^3=126 x^2-xy+y^2=21	$x^{3} + y^{3} = 126$ $x^{2} - x y + y^{2} = 21$
204452	Solve for x	4 1/2<=1.2x	$4 \frac{1}{2} \leq 1.2 x$
204453	Simplify	(-3- square root of 2)/(3 square root of 17)	$\frac{- 3 - \sqrt{2}}{3 \sqrt{17}}$
204454	Evaluate	y=e^-2	$y = e^{- 2}$
204455	Simplify	(2s^2-5st-t^2)-(s^2+7st-t^2)	$(2 s^{2} - 5 s t - t^{2}) - (s^{2} + 7 s t - t^{2})$
204456	Evaluate	15(12/3)-7^2-2*7	$15 (\frac{12}{3}) - 7^{2} - 2 \cdot 7$
204457	Simplify	square root of 16+ square root of 40	$\sqrt{16} + \sqrt{40}$
204458	Write in Exponential Form	( fourth root of -y)^4	${(\sqrt[4]{- y})}^{4}$
204459	Simplify	(i+2)/(i-2)	$\frac{i + 2}{i - 2}$
204460	Simplify	x/(x-y)-y/(x+y)	$\frac{x}{x - y} - \frac{y}{x + y}$
204461	Simplify	( square root of 625x^9y^2)/( square root of 5x^4)	$\frac{\sqrt{625 x^{9} y^{2}}}{\sqrt{5 x^{4}}}$
204462	Solve the System of Equations	b=3/4a a+b=21	$b = \frac{3}{4} a$ $a + b = 21$
204463	Solve for p	(p-4.6)/5.7=6.1/2	$\frac{p - 4.6}{5.7} = \frac{6.1}{2}$
204464	Find All Complex Solutions	7x^4=56	$7 x^{4} = 56$
204465	Write in Slope-Intercept Form	-x+y<-7	$- x + y < - 7$
204466	Factor	12j^2k^3-20hj	$12 j^{2} k^{3} - 20 h j$
204467	Divide Using Synthetic Division	(2x^3-x^2-18x+32)/(2x-6)	$\frac{2 x^{3} - x^{2} - 18 x + 32}{2 x - 6}$
204468	Simplify	(4x-6x^2-7)-(2+7x-5x^2)	$(4 x - 6 x^{2} - 7) - (2 + 7 x - 5 x^{2})$
204469	Simplify	((b^(3/5))/(b^(1/10)))	$(\frac{b^{\frac{3}{5}}}{b^{\frac{1}{10}}})$
204470	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-4x^2-9x^5+7x^3+4x^4	$f (x) = - 4 x^{2} - 9 x^{5} + 7 x^{3} + 4 x^{4}$
204471	Simplify	(w^7)/( fifth root of z^13)	$\frac{w^{7}}{\sqrt[5]{z^{13}}}$
204472	Simplify	( square root of 12x^5y^4)/( square root of 3x^4y^4)	$\frac{\sqrt{12 x^{5} y^{4}}}{\sqrt{3 x^{4} y^{4}}}$
204473	Write in Slope-Intercept Form	3x+y<=-5	$3 x + y \leq - 5$
204474	Simplify	(3x^3+4-2x)+(2x^2-x+6)	$(3 x^{3} + 4 - 2 x) + (2 x^{2} - x + 6)$
204475	Simplify	(-6x^2y^8+12xy^3-36xy^2)/(6xy^2)	$\frac{- 6 x^{2} y^{8} + 12 x y^{3} - 36 x y^{2}}{6 x y^{2}}$
204476	Find the Inverse	y+3=2^x	$y + 3 = 2^{x}$
204477	Graph	y<=2x+2 y>=1/5x	$y \leq 2 x + 2$ $y \geq \frac{1}{5} x$
204478	Divide	(-3/7)÷(1/2)	$- \frac{3}{7} \div \frac{1}{2}$
204479	Find the Quotient	(2x^2-3x-5)÷(x+1)	$(2 x^{2} - 3 x - 5) \div (x + 1)$
204480	Solve for x	(x+10)/2=7(x-1)	$\frac{x + 10}{2} = 7 (x - 1)$
204481	Solve for w	8-5(-10w-8)=-2(-8w-7)	$8 - 5 (- 10 w - 8) = - 2 (- 8 w - 7)$
204482	Factor	8x^3-27=0	$8 x^{3} - 27 = 0$
204483	Simplify	4- square root of 81+(2(4+3^2))÷(1/2)	$4 - \sqrt{81} + 2 (4 + 3^{2}) \div \frac{1}{2}$
204484	Find the Exact Value	4- square root of 81+(2(4+3^2))÷(1/2)	$4 - \sqrt{81} + 2 (4 + 3^{2}) \div \frac{1}{2}$
204485	Solve for D	S=D/T	$S = \frac{D}{T}$
204486	Solve for x	x+x/4=13	$x + \frac{x}{4} = 13$
204487	Solve for m	4 square root of 5m-20=16	$4 \sqrt{5 m - 20} = 16$
204488	Evaluate	((q^6)^-2)/(q^-16)	$\frac{{(q^{6})}^{- 2}}{q^{- 16}}$
204489	Divide	(30c^2+19ac-63a^2)/(6c-7a)	$\frac{30 c^{2} + 19 a c - 63 a^{2}}{6 c - 7 a}$
204490	Solve the Inequality for x	y<3x+1	$y < 3 x + 1$
204491	Simplify the Radical Expression	1/( cube root of 12)	$\frac{1}{\sqrt[3]{12}}$
204492	Solve for q	20-16q=-5q-20-9q	$20 - 16 q = - 5 q - 20 - 9 q$
204493	Solve the System of Equations	1/4x+1/3y=1/12 1/4(-x+y)=-5/4	$\frac{1}{4} x + \frac{1}{3} y = \frac{1}{12}$ $\frac{1}{4} (- x + y) = - \frac{5}{4}$
204494	Simplify	((2xy^3)^2)^3	${({(2 x y^{3})}^{2})}^{3}$
204495	Simplify	(2x+4)/((2x+1)(3x-4))+(x-2)/((2x+1)(3x-4))	$\frac{2 x + 4}{(2 x + 1) (3 x - 4)} + \frac{x - 2}{(2 x + 1) (3 x - 4)}$
204496	Graph	x+y<=-1 x+y>=3	$x + y \leq - 1$ $x + y \geq 3$
204497	Find the Degree, Leading Term, and Leading Coefficient	4x^3-x^2-(x^5)/9+5x+1	$4 x^{3} - x^{2} - \frac{x^{5}}{9} + 5 x + 1$
204498	Solve for x	5+30=x+10	$5 + 30 = x + 10$
204499	Solve for x	2^(x-1)*4^(2x+1)=64	$2^{x - 1} \cdot 4^{2 x + 1} = 64$
204500	Simplify	1÷( square root of x- square root of y)	$1 \div (\sqrt{x} - \sqrt{y})$