Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
200301	Write in Exponential Form	sixth root of 3^2	$\sqrt[6]{3^{2}}$
200302	Write the Fraction in Simplest Form	(8a^-3)^(-2/3)	${(8 a^{- 3})}^{- \frac{2}{3}}$
200303	Solve for x	3+9/4=9/(x+4)	$3 + \frac{9}{4} = \frac{9}{x + 4}$
200304	Solve for y	12(5+2y)=4y-(5-9y)	$12 (5 + 2 y) = 4 y - (5 - 9 y)$
200305	Simplify	(28n+40)/(35n+50)*(12n+24)/(8n+16)	$\frac{28 n + 40}{35 n + 50} \cdot \frac{12 n + 24}{8 n + 16}$
200306	Simplify/Condense	sin(theta)+cos(theta)*cot(theta)	$\sin (θ) + \cos (θ) \cdot \cot (θ)$
200307	Simplify	(x^(1/2)y^-3)^(1/2)	${(x^{\frac{1}{2}} y^{- 3})}^{\frac{1}{2}}$
200308	Solve for x	10^(2x)=0.1	$10^{2 x} = 0.1$
200309	Evaluate	((8)(2))+(-6)	$((8) (2)) + (- 6)$
200310	Divide	(1/4m^4-2/3m^3n+3/8m^2n^2)÷(1/4m^2)	$(\frac{1}{4} m^{4} - \frac{2}{3} m^{3} n + \frac{3}{8} m^{2} n^{2}) \div (\frac{1}{4} m^{2})$
200311	Write in Exponential Form	n root of a^n	$\sqrt[n]{a^{n}}$
200312	Solve for x	-5126=-6-5(3x+22)^(5/3)	$- 5126 = - 6 - 5 {(3 x + 22)}^{\frac{5}{3}}$
200313	Solve the System of Equations	-3x-4y+z=-1 2x+y-z=-8 x+8y-z=23	$- 3 x - 4 y + z = - 1$ $2 x + y - z = - 8$ $x + 8 y - z = 23$
200314	Evaluate	( square root of 3- square root of 6+ square root of 12- square root of 24)*( square root of 6)/2	$(\sqrt{3} - \sqrt{6} + \sqrt{12} - \sqrt{24}) \cdot \frac{\sqrt{6}}{2}$
200315	Simplify	4/(x-y)-7/(y-x)	$\frac{4}{x - y} - \frac{7}{y - x}$
200316	Simplify	4x^-4*1/2x^2	$4 x^{- 4} \cdot \frac{1}{2} x^{2}$
200317	Simplify	4d(d^3-d^2)	$4 d (d^{3} - d^{2})$
200318	Simplify	4/(i square root of 2)	$\frac{4}{i \sqrt{2}}$
200319	Simplify	(6 square root of 18)÷12 square root of 40	$6 \sqrt{18} \div 12 \sqrt{40}$
200320	Solve for c	-3-9c=5-6c-5	$- 3 - 9 c = 5 - 6 c - 5$
200321	Simplify the Radical Expression	( square root of 9)/25	$\frac{\sqrt{9}}{25}$
200322	Simplify	log of 9t^3-5t+ log of t^-1	$\log (9 t^{3} - 5 t) + \log (t^{- 1})$
200323	Simplify	(3(6x)^2)^-1	${(3 {(6 x)}^{2})}^{- 1}$
200324	Simplify	(1/2a^3b^4c^5)^3	${(\frac{1}{2} a^{3} b^{4} c^{5})}^{3}$
200325	Solve for j	6(j-10)=-8j+10	$6 (j - 10) = - 8 j + 10$
200326	Solve for x	3x+1/2(2x+6)=6x+1	$3 x + \frac{1}{2} (2 x + 6) = 6 x + 1$
200327	Find the Product	4x^3y^3*(3x^3-7xy^2+2xy-y)	$4 x^{3} y^{3} \cdot (3 x^{3} - 7 x y^{2} + 2 x y - y)$
200328	Solve for x	2x+4(3-2x)=(3(2x+2))/6+4	$2 x + 4 (3 - 2 x) = \frac{3 (2 x + 2)}{6} + 4$
200329	Solve for x	(4^(x/2))(4^(x/5))=4^14	$(4^{\frac{x}{2}}) (4^{\frac{x}{5}}) = 4^{14}$
200330	Simplify the Radical Expression	cube root of 7/4	$\sqrt[3]{\frac{7}{4}}$
200331	Graph	y<=1/2x+3 y<=3x-4	$y \leq \frac{1}{2} x + 3$ $y \leq 3 x - 4$
200332	Simplify	8x^2y^0z^-1	$8 x^{2} y^{0} z^{- 1}$
200333	Simplify the Radical Expression	2 cube root of 192p^7q^18	$2 \sqrt[3]{192 p^{7} q^{18}}$
200334	Simplify	((x+1)-y)^3	${((x + 1) - y)}^{3}$
200335	Simplify	(x^2-xy)/y*(y^2)/x	$\frac{x^{2} - x y}{y} \cdot \frac{y^{2}}{x}$
200336	Simplify	(3m^-3r^4p^2)/(12t^4)	$\frac{3 m^{- 3} r^{4} p^{2}}{12 t^{4}}$
200337	Solve for y	y = square root of 2-y	$y = \sqrt{2 - y}$
200338	Simplify	-(25x^3y^3)/(14a^2b)*(-(21ab)/(10x^2y))	$- \frac{25 x^{3} y^{3}}{14 a^{2} b} \cdot (- \frac{21 a b}{10 x^{2} y})$
200339	Solve for x	square root of x+ square root of 2x = square root of 2x	$\sqrt{x + \sqrt{2 x}} = \sqrt{2 x}$
200340	Solve for n	6n-7(n+1)=6n	$6 n - 7 (n + 1) = 6 n$
200341	Evaluate the Function	f(x)=0.5^x for x=-3	$f (x) = {0.5}^{x}$ for $x = - 3$
200342	Simplify	(sin(theta)sec(theta))/(cos(theta)^2)	$\frac{\sin (θ) \sec (θ)}{\cos^{2} (θ)}$
200343	Solve the System of Equations	8y=-10x y^2=2x^2-7	$8 y = - 10 x$ $y^{2} = 2 x^{2} - 7$
200344	Simplify	(p^12t^3r)/(p^2tr)	$\frac{p^{12} t^{3} r}{p^{2} t r}$
200345	Evaluate	1/5pq-3/10pq^3-3/5pq^3-7/10pq+3pq	$\frac{1}{5} p q - \frac{3}{10} p q^{3} - \frac{3}{5} p q^{3} - \frac{7}{10} p q + 3 p q$
200346	Evaluate	log base 2 of (2^4)/(2^10)	$\log_{2} (\frac{2^{4}}{2^{10}})$
200347	Find the Roots (Zeros)	12x^4-48x^3-8x^2+32x	$12 x^{4} - 48 x^{3} - 8 x^{2} + 32 x$
200348	Solve for q	-10+10q-10=10+4q	$- 10 + 10 q - 10 = 10 + 4 q$
200349	Solve for s	-6s+8=-6s+5-s	$- 6 s + 8 = - 6 s + 5 - s$
200350	Find the Parabola with Vertex (-3,-4) and Focus (-3,-2)	vertex (-3,-4) focus (-3,-2)	vertex $(- 3, - 4)$ focus $(- 3, - 2)$
200351	Solve for x	3^(2x-1)-4*3^x+9=0	$3^{2 x - 1} - 4 \cdot 3^{x} + 9 = 0$
200352	Simplify	(5m^0-n^0)/(m^0-5n^0)	$\frac{5 m^{0} - n^{0}}{m^{0} - 5 n^{0}}$
200353	Simplify	(3- fourth root of 5x^2)/( fourth root of 3x^3)	$\frac{3 - \sqrt[4]{5 x^{2}}}{\sqrt[4]{3 x^{3}}}$
200354	Simplify	1/3xy+5/4xy^2-3/4xy+1/2xy^2-3x^2y+5/6x^2y	$\frac{1}{3} x y + \frac{5}{4} x y^{2} - \frac{3}{4} x y + \frac{1}{2} x y^{2} - 3 x^{2} y + \frac{5}{6} x^{2} y$
200355	Graph	-5x>=9+3y	$- 5 x \geq 9 + 3 y$
200356	Solve the System of Equations	3x+3y-6z=9 -4x+y+3z=8 -2x+y+2z=2	$3 x + 3 y - 6 z = 9$ $- 4 x + y + 3 z = 8$ $- 2 x + y + 2 z = 2$
200357	Simplify	((9x^5y^6)(4xy))/(6x^2y^4)	$\frac{(9 x^{5} y^{6}) (4 x y)}{6 x^{2} y^{4}}$
200358	Evaluate	-5x^-3	$- 5 x^{- 3}$
200359	Multiply	square root of 2x^4* square root of 8x^3	$\sqrt{2 x^{4}} \cdot \sqrt{8 x^{3}}$
200360	Solve for d	7(d-1)=6d	$7 (d - 1) = 6 d$
200361	Find the Product	((3x^2)/(2y^2))^5	${(\frac{3 x^{2}}{2 y^{2}})}^{5}$
200362	Solve for a	(2x+1)/((x+2)(x-3))=a/(x+2)+b/(x-3)	$\frac{2 x + 1}{(x + 2) (x - 3)} = \frac{a}{x + 2} + \frac{b}{x - 3}$
200363	Evaluate	3 square root of 16-5	$3 \sqrt{16} - 5$
200364	Simplify	7 cube root of m^7+3m^(7/3)	$7 \sqrt[3]{m^{7}} + 3 m^{\frac{7}{3}}$
200365	Simplify	(xy^(2/3))^(1/2)	${(x y^{\frac{2}{3}})}^{\frac{1}{2}}$
200366	Solve for x	3.4>x+2/3	$3.4 > x + \frac{2}{3}$
200367	Factor	a^6x^3+b^9y^6	$a^{6} x^{3} + b^{9} y^{6}$
200368	Simplify	-x^0+2	$- x^{0} + 2$
200369	Describe the Transformation	y=2 cube root of x-4	$y = 2 \sqrt[3]{x} - 4$
200370	Divide	(-x^5y^5-1/4x^3y^2+2/3x^5y-6xy^3)÷(-3x^2y^3)	$(- x^{5} y^{5} - \frac{1}{4} x^{3} y^{2} + \frac{2}{3} x^{5} y - 6 x y^{3}) \div (- 3 x^{2} y^{3})$
200371	Simplify	(x^12y^10)^(-1/2)	${(x^{12} y^{10})}^{- \frac{1}{2}}$
200372	Find the Domain and Range	y=\|2x+5\|-1	$y = \| 2 x + 5 \| - 1$
200373	Rationalize the Denominator	( square root of 8x)/( square root of 3y)	$\frac{\sqrt{8 x}}{\sqrt{3 y}}$
200374	Solve for v	v+0.9=0.2v+1.3	$v + 0.9 = 0.2 v + 1.3$
200375	Simplify	fourth root of square root of 256	$\sqrt[4]{\sqrt{256}}$
200376	Solve for x	(x+5)/(y-3)=0	$\frac{(x + 5)}{(y - 3)} = 0$
200377	Graph	y> = square root of 3x+1+2	$y \geq \sqrt{3 x + 1} + 2$
200378	Graph	y<=-5/6x+2/3	$y \leq - \frac{5}{6} x + \frac{2}{3}$
200379	Find the Exact Value	(1/2+1/3+1/6)÷2 1/2	$(\frac{1}{2} + \frac{1}{3} + \frac{1}{6}) \div 2 \frac{1}{2}$
200380	Solve for t	-8t=-3(t+5)+10t	$- 8 t = - 3 (t + 5) + 10 t$
200381	Find the Product	(4f^9h^3)(-5f^6)(-3h^2)	$(4 f^{9} h^{3}) (- 5 f^{6}) (- 3 h^{2})$
200382	Evaluate	-5y-9=-(y-1)	$- 5 y - 9 = - (y - 1)$
200383	Simplify	(27a^3)÷((18a^4)/(7b^2))	$27 a^{3} \div \frac{18 a^{4}}{7 b^{2}}$
200384	Solve for x	2(x-5)^(1/3)-3=7	$2 {(x - 5)}^{\frac{1}{3}} - 3 = 7$
200385	Simplify	( square root of 5+ square root of 6+ square root of 7)*( square root of 5+ square root of 6- square root of 7)	$(\sqrt{5} + \sqrt{6} + \sqrt{7}) \cdot (\sqrt{5} + \sqrt{6} - \sqrt{7})$
200386	Solve the Inequality for q	7(q+2)<-77	$7 (q + 2) < - 77$
200387	Solve for y	3^(2y-2)=81^(2y+1)	$3^{2 y - 2} = 81^{2 y + 1}$
200388	Solve for x	1-(2/3)^x=-6	$1 - {(\frac{2}{3})}^{x} = - 6$
200389	Solve for t	-6-2t-8t=-9t+1	$- 6 - 2 t - 8 t = - 9 t + 1$
200390	Find the Domain and Range	F(x) = natural log of x-3	$F (x) = \ln (x - 3)$
200391	Simplify the Radical Expression	square root of 3^3*6^3	$\sqrt{3^{3} \cdot 6^{3}}$
200392	Simplify	fourth root of (5x)/x	$\sqrt[4]{\frac{5 x}{x}}$
200393	Simplify	(n^4)3/2	$(n^{4}) \frac{3}{2}$
200394	Write in Slope-Intercept Form	y+4=3(3x+3)	$y + 4 = 3 (3 x + 3)$
200395	Solve for x	1-3/(5x)=4/(10x)	$1 - \frac{3}{5 x} = \frac{4}{10 x}$
200396	Evaluate	square root of ( square root of 11-3)^2+( square root of 11+3)^2	$\sqrt{{(\sqrt{11} - 3)}^{2} + {(\sqrt{11} + 3)}^{2}}$
200397	Solve for x	(x^2+5x+25)^(3/2)=343	${(x^{2} + 5 x + 25)}^{\frac{3}{2}} = 343$
200398	Solve for c	-10+3c+1=3+5c	$- 10 + 3 c + 1 = 3 + 5 c$
200399	Simplify	(6+5 square root of 2)/(4+3 square root of 2)	$\frac{6 + 5 \sqrt{2}}{4 + 3 \sqrt{2}}$
200400	Simplify	(3t^4+4t^3-32t^2-5t-20)(t+4)^-1	$(3 t^{4} + 4 t^{3} - 32 t^{2} - 5 t - 20) {(t + 4)}^{- 1}$