Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
202201	Simplify	(m^(3/2)n^(-1/4))/(m^(3/4)n^(3/4))	$\frac{m^{\frac{3}{2}} n^{- \frac{1}{4}}}{m^{\frac{3}{4}} n^{\frac{3}{4}}}$
202202	Solve the System of Equations	2x-y=-15 2(x+3y)=-22	$2 x - y = - 15$ $2 (x + 3 y) = - 22$
202203	Find the Inverse	y=-1/2x^3+6	$y = - \frac{1}{2} x^{3} + 6$
202204	Solve by Substitution	15x+5y=20 y=8-3x	$15 x + 5 y = 20$ $y = 8 - 3 x$
202205	Find the Product	4a^2b^3*(9a^4b^2-4a^2+3)	$4 a^{2} b^{3} \cdot (9 a^{4} b^{2} - 4 a^{2} + 3)$
202206	Simplify	(5(z+4))/(8z+32)	$\frac{5 (z + 4)}{8 z + 32}$
202207	Simplify	(6x^2y^3)/((-4x^4y)(-3x^3y^2))	$\frac{6 x^{2} y^{3}}{(- 4 x^{4} y) (- 3 x^{3} y^{2})}$
202208	Graph	y<=x+3/2	$y \leq x + \frac{3}{2}$
202209	Solve for x	square root of x-5- square root of x=-2	$\sqrt{x - 5} - \sqrt{x} = - 2$
202210	Simplify	((3r^6n^3)/(2r^5n))^4	${(\frac{3 r^{6} n^{3}}{2 r^{5} n})}^{4}$
202211	Factor	c-2cd+8d-4	$c - 2 c d + 8 d - 4$
202212	Find the Roots (Zeros)	-2x^4+4x^3-6x^2+12x	$- 2 x^{4} + 4 x^{3} - 6 x^{2} + 12 x$
202213	Simplify	7x^2y^2+12xy^2-3x^2y+11+4xy-13x^2y+7	$7 x^{2} y^{2} + 12 x y^{2} - 3 x^{2} y + 11 + 4 x y - 13 x^{2} y + 7$
202214	Simplify	(-2n^6y^5)(-6n^3y^2)(ny)^3	$(- 2 n^{6} y^{5}) (- 6 n^{3} y^{2}) {(n y)}^{3}$
202215	Simplify	((9m^4n^10)/(-3m^2n^5))^-1	${(\frac{9 m^{4} n^{10}}{- 3 m^{2} n^{5}})}^{- 1}$
202216	Simplify	( square root of 27- square root of 6)/( square root of 18-3)	$\frac{\sqrt{27} - \sqrt{6}}{\sqrt{18} - 3}$
202217	Evaluate	3!2!	$3! 2!$
202218	Find the Domain and Range	f(x)=tan(2x-pi)	$f (x) = \tan (2 x - π)$
202219	Solve for x	(1/216)^(10x+16)=(1/6)^(-2x^2+8x)	${(\frac{1}{216})}^{10 x + 16} = {(\frac{1}{6})}^{- 2 x^{2} + 8 x}$
202220	Graph	x-y=7 x-y=-4	$x - y = 7$ $x - y = - 4$
202221	Solve the Inequality for h	h-26<4	$h - 26 < 4$
202222	Find the x and y Intercepts	2x-2/3=3/4y+3	$2 x - \frac{2}{3} = \frac{3}{4} y + 3$
202223	Solve for y	y=x/3+5 , x=6	$y = \frac{x}{3} + 5$ , $x = 6$
202224	Solve for r	8000=4/3pir^3	$8000 = \frac{4}{3} π r^{3}$
202225	Find the Exact Value	2(32-(4-1)^3)	$2 (32 - {(4 - 1)}^{3})$
202226	Multiply	4/33.1410^3	$\frac{4}{3} \cdot 3.14 \cdot 10^{3}$
202227	Evaluate	log base 4 of x-4=( log base 4 of x)/( log base 4 of 4)	$\log_{4} (x - 4) = \frac{\log_{4} (x)}{\log_{4} (4)}$
202228	Solve for x	1/(16^(3x-4))<=64^(x-1)	$\frac{1}{16^{3 x - 4}} \leq 64^{x - 1}$
202229	Simplify	fourth root of (81x^2y^4)/(z^8)	$\sqrt[4]{\frac{81 x^{2} y^{4}}{z^{8}}}$
202230	Simplify	(15x)÷5xy	$15 x \div 5 x y$
202231	Evaluate	(4+9)-(3(6))/2+8	$(4 + 9) - \frac{3 (6)}{2} + 8$
202232	Simplify	3 square root of x4 square root of 3x square root of 6x	$3 \sqrt{x} \cdot 4 \sqrt{3 x} \cdot \sqrt{6 x}$
202233	Solve the Inequality for b	b+2>=4	$b + 2 \geq 4$
202234	Solve for y	square root of y+(y+2)=6	$\sqrt{y + (y + 2)} = 6$
202235	Solve for x	5^(2x-7)=5^(2x+4)	$5^{2 x - 7} = 5^{2 x + 4}$
202236	Evaluate the Function	y=1/4(4)^x for x=3/2	$y = \frac{1}{4} {(4)}^{x}$ for $x = \frac{3}{2}$
202237	Evaluate	log base -1/2 of x=-7	$\log_{- \frac{1}{2}} (x) = - 7$
202238	Solve for x	2^x+2^(5-x)=12	$2^{x} + 2^{5 - x} = 12$
202239	Write as a Single Logarithm	2 log of x+ log of y-2 log of z	$2 \log (x) + \log (y) - 2 \log (z)$
202240	Graph	f(x)=4*(2/3)^x+1	$f (x) = 4 \cdot {(\frac{2}{3})}^{x} + 1$
202241	Simplify the Radical Expression	square root of 75- square root of 27	$\sqrt{75} - \sqrt{27}$
202242	Convert to Rectangular	theta=-pi/4	$θ = - \frac{π}{4}$
202243	Simplify	( cube root of 108)÷( cube root of 2)	$\sqrt[3]{108} \div \sqrt[3]{2}$
202244	Simplify	((-9)^0J^-1k^-4)/(2^0)	$\frac{{(- 9)}^{0} J^{- 1} k^{- 4}}{2^{0}}$
202245	Solve for x	(x+2)+(x-1)=0	$(x + 2) + (x - 1) = 0$
202246	Find the Roots (Zeros)	y=x(x-1)^3	$y = x {(x - 1)}^{3}$
202247	Solve for x	(15(x-3))/5=3(2x-3)	$\frac{15 (x - 3)}{5} = 3 (2 x - 3)$
202248	Multiply	(5a-3a^3)(4a-1)	$(5 a - 3 a^{3}) (4 a - 1)$
202249	Solve for a	(2a+1)(6a-2)=3a(4a-1)+4	$(2 a + 1) \cdot (6 a - 2) = 3 a \cdot (4 a - 1) + 4$
202250	Graph Using a Table of Values	f(x) = square root of x+4	$f (x) = \sqrt{x + 4}$
202251	Simplify	((-x^-1y)^0)/(4w^-1y^2)	$\frac{{(- x^{- 1} y)}^{0}}{4 w^{- 1} y^{2}}$
202252	Combine Like Terms	(10x^2+3x+9)+(5x^2+x+4)	$(10 x^{2} + 3 x + 9) + (5 x^{2} + x + 4)$
202253	Solve for x	(cos(x)+1)(tan(x)+1)=0	$(\cos (x) + 1) (\tan (x) + 1) = 0$
202254	Simplify the Radical Expression	cube root of 216/512	$\sqrt[3]{\frac{216}{512}}$
202255	Simplify	(3(y+8))/(9y+72)	$\frac{3 (y + 8)}{9 y + 72}$
202256	Solve for c	a=b(1c-1d)	$a = b (1 c - 1 d)$
202257	Simplify	square root of (64x^8)/16	$\sqrt{\frac{64 x^{8}}{16}}$
202258	Simplify	(2 square root of 6+8)(2 square root of 6-8)	$(2 \sqrt{6} + 8) (2 \sqrt{6} - 8)$
202259	Simplify the Radical Expression	5 square root of 13-3 square root of 13- square root of 13	$5 \sqrt{13} - 3 \sqrt{13} - \sqrt{13}$
202260	Simplify	(i-2)/(i-1)	$\frac{i - 2}{i - 1}$
202261	Simplify	(7x)/(x+7)*(2x+14)/14	$\frac{7 x}{x + 7} \cdot \frac{2 x + 14}{14}$
202262	Multiply	square root of 8y^5* square root of 40y^2	$\sqrt{8 y^{5}} \cdot \sqrt{40 y^{2}}$
202263	Simplify	(x-5)/(4x)-(2x+6)/(16x)	$\frac{x - 5}{4 x} - \frac{2 x + 6}{16 x}$
202264	Solve by Addition/Elimination	3x+3=3y 2x-6y=2	$3 x + 3 = 3 y$ $2 x - 6 y = 2$
202265	Solve for x	2(6x-7)^(1/3)-5=5	$2 {(6 x - 7)}^{\frac{1}{3}} - 5 = 5$
202266	Solve for m	-2.4(m-5/6)=-5	$- 2.4 (m - \frac{5}{6}) = - 5$
202267	Simplify	((a^2+4a+4)/(16-b^4))÷((4-a^2)/(4+b^2))	$\frac{a^{2} + 4 a + 4}{16 - b^{4}} \div \frac{4 - a^{2}}{4 + b^{2}}$
202268	Simplify	(3 square root of 8)/( square root of 3)	$\frac{3 \sqrt{8}}{\sqrt{3}}$
202269	Simplify	(-6a^5+3a^3-2a^2+1)-(4a^2+3a-7)	$(- 6 a^{5} + 3 a^{3} - 2 a^{2} + 1) - (4 a^{2} + 3 a - 7)$
202270	Solve for x	x(x-2)-5=0	$x (x - 2) - 5 = 0$
202271	Solve for x	20/(2x-6)=(x+8)/39	$\frac{20}{2 x - 6} = \frac{x + 8}{39}$
202272	Solve for x	2(2x+1)-(3x)/2=(-3(4+x))/2	$2 (2 x + 1) - \frac{3 x}{2} = \frac{- 3 (4 + x)}{2}$
202273	Graph Using a Table of Values	y=0.25^x	$y = {0.25}^{x}$
202274	Simplify	3y^3z^43x^4y^2z^-3x^-2y^4z^2	$3 y^{3} z^{4} \cdot 3 x^{4} y^{2} z^{- 3} \cdot x^{- 2} y^{4} z^{2}$
202275	Solve for m	2+ square root of m-2=7	$2 + \sqrt{m - 2} = 7$
202276	Simplify	((y^0)/(y^n))^-1	${(\frac{y^{0}}{y^{n}})}^{- 1}$
202277	Write in Exponential Form	( cube root of a^3)^2	${(\sqrt[3]{a^{3}})}^{2}$
202278	Convert to Radical Form	((x^2+3)^(1/3))/((x^2-3)^(-1/3))	$\frac{{(x^{2} + 3)}^{\frac{1}{3}}}{{(x^{2} - 3)}^{- \frac{1}{3}}}$
202279	Evaluate	(-1/2)^2+3(-1/2)+5	${(- \frac{1}{2})}^{2} + 3 (- \frac{1}{2}) + 5$
202280	Simplify	(5^(1/4))+6(405^(1/4))	$(5^{\frac{1}{4}}) + 6 (405^{\frac{1}{4}})$
202281	Find the Equation Using Slope-Intercept Form	(4,2) ; slope 1/2	$(4, 2)$ ; slope $\frac{1}{2}$
202282	Find the Inverse	f(x)=(1-e^(-x))/(1+e^(-x))	$f (x) = \frac{1 - e^{- x}}{1 + e^{- x}}$
202283	Simplify	( square root of 5)/( square root of 5- square root of 15)	$\frac{\sqrt{5}}{\sqrt{5} - \sqrt{15}}$
202284	Solve for x	7+2(3-8x)=4-6(1+5x)	$7 + 2 (3 - 8 x) = 4 - 6 (1 + 5 x)$
202285	Write in Standard Form	-y^3+3y-3y^2+2	$- y^{3} + 3 y - 3 y^{2} + 2$
202286	Find the Domain and Range	f(x)=3 cube root of -x-2	$f (x) = 3 \sqrt[3]{- x - 2}$
202287	Find the Domain and Range	f(x)=2-3/(x-1)	$f (x) = 2 - \frac{3}{x - 1}$
202288	Find the Product	-2yz^2*(-5y^2z-4z)	$- 2 y z^{2} \cdot (- 5 y^{2} z - 4 z)$
202289	Solve for r	Q=8rs^2	$Q = 8 r s^{2}$
202290	Solve for y	y=1-2x , x=9	$y = 1 - 2 x$ , $x = 9$
202291	Simplify	( square root of ab)/( square root of a+ square root of b)	$\frac{\sqrt{a b}}{\sqrt{a} + \sqrt{b}}$
202292	Simplify the Radical Expression	(125x)^(5/3)	${(125 x)}^{\frac{5}{3}}$
202293	Simplify	6m^2n-14mn^2-mn^2+2m^2n	$6 m^{2} n - 14 m n^{2} - m n^{2} + 2 m^{2} n$
202294	Solve the Inequality for c	-7>20+c	$- 7 > 20 + c$
202295	Simplify	((-6x^4y^6)^2)/((-3x^3y^5)^2)-7x^2y^2	$\frac{{(- 6 x^{4} y^{6})}^{2}}{{(- 3 x^{3} y^{5})}^{2}} - 7 x^{2} y^{2}$
202296	Simplify	(x^-2y^0)/(x^4y^-5)	$\frac{x^{- 2} y^{0}}{x^{4} y^{- 5}}$
202297	Solve for t	S(t)=1/3t^3-3.5t^2+10t	$S (t) = \frac{1}{3} t^{3} - 3.5 t^{2} + 10 t$
202298	Simplify the Radical Expression	square root of 12+4 square root of 3	$\sqrt{12} + 4 \sqrt{3}$
202299	Simplify	(3 square root of 2)/(2- square root of 7)	$\frac{3 \sqrt{2}}{2 - \sqrt{7}}$
202300	Factor by Grouping	x^3-8y^3	$x^{3} - 8 y^{3}$