Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
212001	Determine if a Polynomial	3c^5+7c^-1-c	$3 c^{5} + 7 c^{- 1} - c$
212002	Simplify	(n+2)^5(n+2)^-3	${(n + 2)}^{5} {(n + 2)}^{- 3}$
212003	Divide	( square root of 2)/( cube root of 2)	$\frac{\sqrt{2}}{\sqrt[3]{2}}$
212004	Evaluate	natural log of (1)^2	$\ln ({(1)}^{2})$
212005	Solve the Inequality for u	0>-0.5u	$0 > - 0.5 u$
212006	Simplify	square root of (16m^2)/(p^4q^6)	$\sqrt{\frac{16 m^{2}}{p^{4} q^{6}}}$
212007	Solve for r	535.29=400(1+r)^5	$535.29 = 400 {(1 + r)}^{5}$
212008	Simplify the Radical Expression	square root of 12+ square root of 27- square root of 3	$\sqrt{12} + \sqrt{27} - \sqrt{3}$
212009	Write in Standard Form	(3x^2-2x)+(x^2-7x+11)	$(3 x^{2} - 2 x) + (x^{2} - 7 x + 11)$
212010	Solve for x	14+5x=3(-x+3)-11	$14 + 5 x = 3 (- x + 3) - 11$
212011	Simplify	1+4.25n+32p-3+(-2p)+54n	$1 + 4.25 n + 32 p - 3 + (- 2 p) + 54 n$
212012	Find the Holes in the Graph	f(x)=(x^2-x-2)/((x-2)^2)	$f (x) = \frac{x^{2} - x - 2}{{(x - 2)}^{2}}$
212013	Combine Like Terms	13v-v+15w-4v	$13 v - v + 15 w - 4 v$
212014	Find the Remainder	(6x^4+5x^3-1)/(3x^2+x-2)	$\frac{6 x^{4} + 5 x^{3} - 1}{3 x^{2} + x - 2}$
212015	Solve for r	r=((3V)/(4pi))^(1/3)	$r = {(\frac{3 V}{4 π})}^{\frac{1}{3}}$
212016	Evaluate	((5^-3)/(5^6))^-6	${(\frac{5^{- 3}}{5^{6}})}^{- 6}$
212017	Simplify	(x+1)(4x-1)(2x-3)(x-2)	$(x + 1) (4 x - 1) (2 x - 3) (x - 2)$
212018	Simplify	(2ab^-1)^2	${(2 a b^{- 1})}^{2}$
212019	Simplify	(x/2)÷((3x^2)/10)	$\frac{x}{2} \div \frac{3 x^{2}}{10}$
212020	Solve the Inequality for x	x/4-1/10<=x/5+1	$\frac{x}{4} - \frac{1}{10} \leq \frac{x}{5} + 1$
212021	Simplify	pi(r/2)^3(4/(3pir^2))	$π {(\frac{r}{2})}^{3} (\frac{4}{3 π r^{2}})$
212022	Solve for x	(x+3)/6>x/4+1	$\frac{x + 3}{6} > \frac{x}{4} + 1$
212023	Solve the System of Inequalities	x+y>2 2x-y>1	$x + y > 2$ $2 x - y > 1$
212024	Solve the Inequality for m	3/5m>-30	$\frac{3}{5} m > - 30$
212025	Simplify	-(9xy^5z^3)/(36xy^4z^5)	$- \frac{9 x y^{5} z^{3}}{36 x y^{4} z^{5}}$
212026	Simplify	73/100*(-2/7)	$\frac{73}{100} \cdot (- \frac{2}{7})$
212027	Write in Standard Form	y=6(2x-1)(x+5)	$y = 6 (2 x - 1) (x + 5)$
212028	Simplify	((x-3)(x-2))/((x+2)(x-2))*((x+6)(x+5))/((x+5)(x-3))	$\frac{(x - 3) (x - 2)}{(x + 2) (x - 2)} \cdot \frac{(x + 6) (x + 5)}{(x + 5) (x - 3)}$
212029	Find the Exact Value	sec(-(8pi)/13)	$\sec (- \frac{8 π}{13})$
212030	Find All Complex Solutions	6x=9+x^2	$6 x = 9 + x^{2}$
212031	Simplify	x^-4y^4z^2*4x^3y^0z^-2	$x^{- 4} y^{4} z^{2} \cdot 4 x^{3} y^{0} z^{- 2}$
212032	Solve by Substitution	-7x-2y=-13 and x-2y=11	$- 7 x - 2 y = - 13$ and $x - 2 y = 11$
212033	Expand the Logarithmic Expression	log of a^4b^3c^2d	$\log (a^{4} b^{3} c^{2} d)$
212034	Simplify	( cube root of 27x^3y)( cube root of x^3y)	$(\sqrt[3]{27 x^{3} y}) (\sqrt[3]{x^{3} y})$
212035	Simplify	((x-y)^2)/(2xy+6y)*(4x+12)/(x^2-y^2)	$\frac{{(x - y)}^{2}}{2 x y + 6 y} \cdot \frac{(4 x + 12)}{x^{2} - y^{2}}$
212036	Find the Inverse	f(x) = cube root of 9+x+3	$f (x) = \sqrt[3]{9 + x} + 3$
212037	Solve for u	u(u-5)+8u=u(u+2)-4	$u (u - 5) + 8 u = u (u + 2) - 4$
212038	Solve for x	(x-1)/(x+3)-2/(x+3)=-3	$\frac{x - 1}{x + 3} - \frac{2}{x + 3} = - 3$
212039	Solve for x	(p^(10x^2))/(p^(5x))=(p^-20)^x	$\frac{p^{10 x^{2}}}{p^{5 x}} = {(p^{- 20})}^{x}$
212040	Multiply	8xy(x+8y)	$8 x y (x + 8 y)$
212041	Solve for x	x/3+(5x)/6=1	$\frac{x}{3} + \frac{5 x}{6} = 1$
212042	Combine Like Terms	15w-w-3w-5	$15 w - w - 3 w - 5$
212043	Solve for y	x/(y^3)=1	$\frac{x}{y^{3}} = 1$
212044	Simplify	(f^2-3f)/f-(3f^2+6f)/(3f)	$\frac{f^{2} - 3 f}{f} - \frac{3 f^{2} + 6 f}{3 f}$
212045	Subtract	a/(12b)-b/(8a)	$\frac{a}{12 b} - \frac{b}{8 a}$
212046	Find the Exact Value	square root of 45- square root of 20+ square root of 125	$\sqrt{45} - \sqrt{20} + \sqrt{125}$
212047	Solve by Addition/Elimination	a+b=4 a-b=10	$a + b = 4$ $a - b = 10$
212048	Evaluate	((6-3)^3-2)/(-5^2)	$\frac{{(6 - 3)}^{3} - 2}{- 5^{2}}$
212049	Write the Fraction in Simplest Form	(-27x^-9)^(1/3)	${(- 27 x^{- 9})}^{\frac{1}{3}}$
212050	Simplify	((3r^-2s)/(t^-1))^-1	${(\frac{3 r^{- 2} s}{t^{- 1}})}^{- 1}$
212051	Graph	y=2x-3 x+y=-6	$y = 2 x - 3$ $x + y = - 6$
212052	Find the Quotient	(x^4-12x^2-8)÷(x+3)	$(x^{4} - 12 x^{2} - 8) \div (x + 3)$
212053	Simplify	(10^-15)/(3.9*10^-7)	$\frac{10^{- 15}}{3.9 \cdot 10^{- 7}}$
212054	Simplify	(x^2+2x-35)/(-x-5)(4x^3+24x^2+20x)/(x^3+12x^2+35x)(x^2+13x+40)/(x^2+9x+8)	$\frac{x^{2} + 2 x - 35}{- x - 5} \cdot \frac{4 x^{3} + 24 x^{2} + 20 x}{x^{3} + 12 x^{2} + 35 x} \cdot \frac{x^{2} + 13 x + 40}{x^{2} + 9 x + 8}$
212055	Find the Exact Value	csc((1pi)/6)	$\csc (\frac{1 π}{6})$
212056	Simplify	square root of 8+ square root of 20- square root of 12	$\sqrt{8} + \sqrt{20} - \sqrt{12}$
212057	Evaluate	7/3+1/2-5/6	$\frac{7}{3} + \frac{1}{2} - \frac{5}{6}$
212058	Solve for x	square root of x+5-2=7	$\sqrt{x + 5 - 2} = 7$
212059	Simplify	(2+3 square root of 7)	$(2 + 3 \sqrt{7})$
212060	Solve for x	3(x+4)-5(x-1)<5	$3 (x + 4) - 5 (x - 1) < 5$
212061	Convert to Interval Notation	z-18>=-2/3	$z - 18 \geq - \frac{2}{3}$
212062	Simplify	(-6x^2y)^3(xy^5z^0)	${(- 6 x^{2} y)}^{3} (x y^{5} z^{0})$
212063	Solve for x	square root of x+2-3=2x	$\sqrt{x + 2} - 3 = 2 x$
212064	Simplify	square root of 100x^4* cube root of 27x^12	$\sqrt{100 x^{4}} \cdot \sqrt[3]{27 x^{12}}$
212065	Write in Standard Form	7y^3-3y+5y^3-2y+7	$7 y^{3} - 3 y + 5 y^{3} - 2 y + 7$
212066	Multiply	30i*(-7i-1)	$30 i \cdot (- 7 i - 1)$
212067	Solve the Inequality for x	-3x+2x<=6	$- 3 x + 2 x \leq 6$
212068	Solve for x	x-1/2=1 1/4	$x - \frac{1}{2} = 1 \frac{1}{4}$
212069	Find the Equation Using Point-Slope Formula	(4,7) and (5,1)	$(4, 7)$ and $(5, 1)$
212070	Simplify	12x+4y-3x+2-8y^2+3^2	$12 x + 4 y - 3 x + 2 - 8 y^{2} + 3^{2}$
212071	Solve the Inequality for x	x/4-1/20<=x/5+1	$\frac{x}{4} - \frac{1}{20} \leq \frac{x}{5} + 1$
212072	Find the Equation Using Two Points	(1,4) and (6,-1)	$(1, 4)$ and $(6, - 1)$
212073	Divide Using Synthetic Division	Use synthetic division to find the result when x^4+6x^3-4x^2-16x-7 is divided by x+1	Use synthetic division to find the result when $x^{4} + 6 x^{3} - 4 x^{2} - 16 x - 7$ is divided by $x + 1$
212074	Solve for x	1/3(x-6)>2	$\frac{1}{3} (x - 6) > 2$
212075	Solve for n	(n+4)^(1/2)=(-2-2n)^(1/2)	${(n + 4)}^{\frac{1}{2}} = {(- 2 - 2 n)}^{\frac{1}{2}}$
212076	Graph	y>=4xy	$y \geq 4 x y$
212077	Simplify	square root of 2x( square root of 2+ square root of x)	$\sqrt{2 x} (\sqrt{2} + \sqrt{x})$
212078	Divide	( cube root of 3)÷( square root of 3)	$\sqrt[3]{3} \div \sqrt{3}$
212079	Solve the System of Equations	y=x-6 y=x+2	$y = x - 6$ $y = x + 2$
212080	Graph	theta=2pi	$θ = 2 π$
212081	Solve the Inequality for x	\|(x-1)/(x+2)\|<=1	$\| \frac{x - 1}{x + 2} \| \leq 1$
212082	Evaluate	pi/2*2pi	$\frac{π}{2} \cdot 2 π$
212083	Evaluate	1/2(4x-10)+5=x-11	$\frac{1}{2} (4 x - 10) + 5 = x - 11$
212084	Find the Domain and Range	y=1/2 square root of x+5	$y = \frac{1}{2} \sqrt{x + 5}$
212085	Evaluate	(6+6^2-4)÷2	$(6 + 6^{2} - 4) \div 2$
212086	Simplify	4/(3x^2)*(3x^3)/5	$\frac{4}{3 x^{2}} \cdot \frac{3 x^{3}}{5}$
212087	Evaluate	((q^4)^-3)/(q^-15)	$\frac{{(q^{4})}^{- 3}}{q^{- 15}}$
212088	Simplify	square root of 36x* fourth root of 81x^10	$\sqrt{36 x} \cdot \sqrt[4]{81 x^{10}}$
212089	Simplify	square root of 8(x+y)^3- square root of 32(x+y)^3	$\sqrt{8 {(x + y)}^{3}} - \sqrt{32 {(x + y)}^{3}}$
212090	Solve for x	x+3=3/2x+2	$x + 3 = \frac{3}{2} x + 2$
212091	Simplify	square root of -4* square root of 27	$\sqrt{- 4} \cdot \sqrt{27}$
212092	Combine Like Terms	3+4n+1-3n	$3 + 4 n + 1 - 3 n$
212093	Divide	(-5x^2y^3z^4)/(15x^4y^2z^4)	$\frac{- 5 x^{2} y^{3} z^{4}}{15 x^{4} y^{2} z^{4}}$
212094	Simplify	i^2*i^2	$i^{2} \cdot i^{2}$
212095	Convert to Radical Form	(x)^(2/3)	${(x)}^{\frac{2}{3}}$
212096	Solve for x	-5\|x\|=25	$- 5 \| x \| = 25$
212097	Solve for x	-2(x+6)+3=-11x+4(x+4)	$- 2 (x + 6) + 3 = - 11 x + 4 (x + 4)$
212098	Graph	cos(theta)<0 , tan(theta)<0	$\cos (θ) < 0$ , $\tan (θ) < 0$
212099	Simplify	(5x^2-7-2(2x^2+1))/(x-3)	$\frac{5 x^{2} - 7 - 2 (2 x^{2} + 1)}{x - 3}$
212100	Graph Using a Table of Values	y=2 cube root of x-3+1	$y = 2 \sqrt[3]{x - 3} + 1$