Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
202301	Solve the Inequality for x	4x+3y<12	$4 x + 3 y < 12$
202302	Solve the Inequality for b	3b<=12	$3 b \leq 12$
202303	Write in Standard Form	5ab-a^2b^2+a^5+ab^2	$5 a b - a^{2} b^{2} + a^{5} + a b^{2}$
202304	Solve the Inequality for z	-8<=z+6.4	$- 8 \leq z + 6.4$
202305	Solve for x	square root of 2x-1- square root of x+4=0	$\sqrt{2 x - 1} - \sqrt{x + 4} = 0$
202306	Simplify	(13/6)((2y+4)/(52y))	$(\frac{13}{6}) (\frac{2 y + 4}{52 y})$
202307	Simplify	(r^7n^7t^2)/(n^3r^3t^2)	$\frac{r^{7} n^{7} t^{2}}{n^{3} r^{3} t^{2}}$
202308	Solve the System of Equations	5x=2y+50 2y+38=3x	$5 x = 2 y + 50$ $2 y + 38 = 3 x$
202309	Determine if a Polynomial	-5w^3x^5 square root of 6-8w^5	$- 5 w^{3} x^{5} \sqrt{6} - 8 w^{5}$
202310	Solve for y	3y+5-8y=2y-7-4y	$3 y + 5 - 8 y = 2 y - 7 - 4 y$
202311	Divide Using Long Polynomial Division	2x^4-3x^3-24x^2+76x-60 by 2x-3	$2 x^{4} - 3 x^{3} - 24 x^{2} + 76 x - 60$ by $2 x - 3$
202312	Solve for n	6/5=2/(5n)	$\frac{6}{5} = \frac{2}{5 n}$
202313	Factor	x+y+x^2y+xy^2-x^3-y^3	$x + y + x^{2} y + x y^{2} - x^{3} - y^{3}$
202314	Find the Perpendicular Line	y-4=5/2(x+3) , (-7,8)	$y - 4 = \frac{5}{2} (x + 3)$ , $(- 7, 8)$
202315	Solve for x	(1/3)^(2x^2-10x)=(1/27)^(-2x+42)	${(\frac{1}{3})}^{2 x^{2} - 10 x} = {(\frac{1}{27})}^{- 2 x + 42}$
202316	Simplify	(-7m^-2n^-1)^-2	${(- 7 m^{- 2} n^{- 1})}^{- 2}$
202317	Subtract	7/(2x^2+18x)-(5x)/(x^2+17x+72)	$\frac{7}{2 x^{2} + 18 x} - \frac{5 x}{x^{2} + 17 x + 72}$
202318	Simplify	(9x)/(2(x+1))-x/(x+1)	$\frac{9 x}{2 (x + 1)} - \frac{x}{x + 1}$
202319	Solve the System of Equations	5x-9y=6 -(5x+2y)=(17)	$5 x - 9 y = 6$ $- (5 x + 2 y) = (17)$
202320	Factor	-3a^2b+6a^3b^2	$- 3 a^{2} b + 6 a^{3} b^{2}$
202321	Simplify	(( cube root of 2xy^3)/( cube root of 4x^2y))^3	${(\frac{\sqrt[3]{2 x y^{3}}}{\sqrt[3]{4 x^{2} y}})}^{3}$
202322	Simplify	(4x)/(x+8)-(2x)/(x+8)	$\frac{4 x}{x + 8} - \frac{2 x}{x + 8}$
202323	Evaluate	(3x)/2+1/6=(2x)/3-2/3	$\frac{3 x}{2} + \frac{1}{6} = \frac{2 x}{3} - \frac{2}{3}$
202324	Find the LCM	x^2-x , 3-3x	$x^{2} - x$ , $3 - 3 x$
202325	Simplify	cube root of (y^3+5)^18	$\sqrt[3]{{(y^{3} + 5)}^{18}}$
202326	Simplify	( cube root of 6^4)/( cube root of 6^2)	$\frac{\sqrt[3]{6^{4}}}{\sqrt[3]{6^{2}}}$
202327	Evaluate	x^2-4=0	$x^{2} - 4 = 0$
202328	Find the LCD	(2+x)/(x^2-4) , 3/(x-2)	$\frac{2 + x}{x^{2} - 4}$ , $\frac{3}{x - 2}$
202329	Graph	y=2sin(1/4)(x+pi/4)-1	$y = 2 \sin (\frac{1}{4}) (x + \frac{π}{4}) - 1$
202330	Solve by Addition/Elimination	-v+w=7 v+w=1	$- v + w = 7$ $v + w = 1$
202331	Multiply	4 square root of 6*2 square root of 3	$4 \sqrt{6} \cdot 2 \sqrt{3}$
202332	Simplify	4( cube root of 5y^3)(2 cube root of 50y)	$4 (\sqrt[3]{5 y^{3}}) (2 \sqrt[3]{50 y})$
202333	Convert to Radical Form	(16/3)^(-3/4)	${(\frac{16}{3})}^{- \frac{3}{4}}$
202334	Solve by Addition/Elimination	2x-6=4y 7y=-3x+9	$2 x - 6 = 4 y$ $7 y = - 3 x + 9$
202335	Solve for x	-6/7-1/(x+5)=2/(x+5)	$- \frac{6}{7} - \frac{1}{x + 5} = \frac{2}{x + 5}$
202336	Simplify	(2x^2y*4x^4y^3)/(6x^6y^6)	$\frac{2 x^{2} y \cdot 4 x^{4} y^{3}}{6 x^{6} y^{6}}$
202337	Simplify	(5w^3-w+2w^2+4)+(3w^2+1-4w)	$(5 w^{3} - w + 2 w^{2} + 4) + (3 w^{2} + 1 - 4 w)$
202338	Solve for x	1/2(x-4)^2=8	$\frac{1}{2} {(x - 4)}^{2} = 8$
202339	Find the Roots (Zeros)	P(x)=2^(5x+1)-8^(2x-3)	$P (x) = 2^{5 x + 1} - 8^{2 x - 3}$
202340	Evaluate	((3x^3y^0)/(x^-2))^4*((y^2x^-4)/(5xy^-8))^3	${(\frac{3 x^{3} y^{0}}{x^{- 2}})}^{4} \cdot {(\frac{y^{2} x^{- 4}}{5 x y^{- 8}})}^{3}$
202341	Simplify	square root of 3* cube root of 18	$\sqrt{3} \cdot \sqrt[3]{18}$
202342	Solve for x	2 1/4(4x-1)=1 3/5(1+4x)	$2 \frac{1}{4} (4 x - 1) = 1 \frac{3}{5} (1 + 4 x)$
202343	Solve for x	(x+8)^2=(x-10)^(5/2)	${(x + 8)}^{2} = {(x - 10)}^{\frac{5}{2}}$
202344	Write in Slope-Intercept Form	x-4y<0	$x - 4 y < 0$
202345	Solve for y	y^3-5y^2=0	$y^{3} - 5 y^{2} = 0$
202346	Simplify the Radical Expression	cube root of 40/5	$\sqrt[3]{\frac{40}{5}}$
202347	Simplify	(3-4i)/5(4/5+(3i)/5)	$\frac{3 - 4 i}{5} (\frac{4}{5} + \frac{3 i}{5})$
202348	Solve for r	68=3(6r-1)-7(1-3r)	$68 = 3 (6 r - 1) - 7 (1 - 3 r)$
202349	Simplify	(x^3-3x+1)-(x^3+7-12x)	$(x^{3} - 3 x + 1) - (x^{3} + 7 - 12 x)$
202350	Solve the System of Inequalities	n+2<=-5 and n+6>=-6	$n + 2 \leq - 5$ and $n + 6 \geq - 6$
202351	Graph	x^2-x-4<=2	$x^{2} - x - 4 \leq 2$
202352	Solve for g	-15+3g=2g	$- 15 + 3 g = 2 g$
202353	Solve for b	(7^4)/(7^b)=7^-2	$\frac{7^{4}}{7^{b}} = 7^{- 2}$
202354	Simplify	(-15x^6y^5z)/(-3x^5y^3)	$\frac{- 15 x^{6} y^{5} z}{- 3 x^{5} y^{3}}$
202355	Simplify	(4-20x)/(-15x+3)	$\frac{4 - 20 x}{- 15 x + 3}$
202356	Simplify	(4((3-5)^2-2(5/2-6/4)^3)+6(8/12))- square root of 25	$(4 ({(3 - 5)}^{2} - 2 {(\frac{5}{2} - \frac{6}{4})}^{3}) + 6 (\frac{8}{12})) - \sqrt{25}$
202357	Evaluate	-4x^3=32	$- 4 x^{3} = 32$
202358	Simplify	((2^4)/(3^4))^(1/8)	${(\frac{2^{4}}{3^{4}})}^{\frac{1}{8}}$
202359	Simplify	cos(theta)tan(theta)sec(theta)	$\cos (θ) \cdot \tan (θ) \cdot \sec (θ)$
202360	Solve for x	x(2x-1)=2x^2+5x-12	$x (2 x - 1) = 2 x^{2} + 5 x - 12$
202361	Solve for k	49÷k-3=46	$49 \div k - 3 = 46$
202362	Simplify	(3n^0)/(2n)	$\frac{3 n^{0}}{2 n}$
202363	Find the Exact Value	log of 25+( log of 8* log of 16)/( log of 64)	$\log (25) + \frac{\log (8) \cdot \log (16)}{\log (64)}$
202364	Simplify	(-3p^-3q*3p^3q^-4)^2	${(- 3 p^{- 3} q \cdot 3 p^{3} q^{- 4})}^{2}$
202365	Simplify	cube root of 2* fifth root of 2^3	$\sqrt[3]{2} \cdot \sqrt[5]{2^{3}}$
202366	Simplify	square root of (y-6)^8	$\sqrt{{(y - 6)}^{8}}$
202367	Find the Holes in the Graph	(3x^2-6x-24)/(2x^2-8)	$\frac{3 x^{2} - 6 x - 24}{2 x^{2} - 8}$
202368	Graph	y<=1/2x+2 y<=5x	$y \leq \frac{1}{2} x + 2$ $y \leq 5 x$
202369	Simplify	square root of 3* cube root of 27	$\sqrt{3} \cdot \sqrt[3]{27}$
202370	Solve for c	x^2-c=157	$x^{2} - c = 157$
202371	Simplify	(x^2y^3)^-2*(x^5y^4)^-3	${(x^{2} y^{3})}^{- 2} \cdot {(x^{5} y^{4})}^{- 3}$
202372	Factor	27/125x^6-8y^9	$\frac{27}{125} x^{6} - 8 y^{9}$
202373	Evaluate	(4x^0y^-2z^3)/(4x)	$\frac{4 x^{0} y^{- 2} z^{3}}{4 x}$
202374	Simplify	fourth root of 8* cube root of 32	$\sqrt[4]{8} \cdot \sqrt[3]{32}$
202375	Find the Product	(3xy-1)^3	${(3 x y - 1)}^{3}$
202376	Simplify the Radical Expression	3 square root of 3- square root of 27	$3 \sqrt{3} - \sqrt{27}$
202377	Solve for g	-9(-5g+1)=4(9g-9)-9	$- 9 (- 5 g + 1) = 4 (9 g - 9) - 9$
202378	Solve for x	x=2+ square root of x^2-1	$x = 2 + \sqrt{x^{2} - 1}$
202379	Simplify	4x+3x^2-4y-5x+3	$4 x + 3 x^{2} - 4 y - 5 x + 3$
202380	Solve for x	x/(x+1)=5/7	$\frac{x}{x + 1} = \frac{5}{7}$
202381	Solve for x	5(3x+9)-2x=15x-2(x-5)	$5 (3 x + 9) - 2 x = 15 x - 2 (x - 5)$
202382	Graph	y>=0 y<=x-5	$y \geq 0$ $y \leq x - 5$
202383	Subtract	(1/3x+1/4)-(1/2x-2/3)	$(\frac{1}{3} x + \frac{1}{4}) - (\frac{1}{2} x - \frac{2}{3})$
202384	Find the Holes in the Graph	(x^2-25)/(x^2-x-20)	$\frac{x^{2} - 25}{x^{2} - x - 20}$
202385	Simplify the Radical Expression	( square root of 72)/( square root of 2)	$\frac{\sqrt{72}}{\sqrt{2}}$
202386	Write in Standard Form	7-y=5x+11	$7 - y = 5 x + 11$
202387	Simplify	(8^-1a^-2b^-3)/(24^-1a^-4b^0)	$\frac{8^{- 1} a^{- 2} b^{- 3}}{24^{- 1} a^{- 4} b^{0}}$
202388	Solve for x	(x^2+2x-3)/(2x^2+x-3)=0	$\frac{x^{2} + 2 x - 3}{2 x^{2} + x - 3} = 0$
202389	Solve the System of Equations	y=x^2-2x+4 y=3x	$y = x^{2} - 2 x + 4$ $y = 3 x$
202390	Factor	8ab^2-5b^2-10c^2+16ac^2	$8 a b^{2} - 5 b^{2} - 10 c^{2} + 16 a c^{2}$
202391	Simplify	3 square root of m+8 square root of m-15 square root of m	$3 \sqrt{m} + 8 \sqrt{m} - 15 \sqrt{m}$
202392	Simplify	y square root of 28x^2y+2 square root of 18xy^3-4 square root of 27x^2y^2	$y \sqrt{28 x^{2} y} + 2 \sqrt{18 x y^{3}} - 4 \sqrt{27 x^{2} y^{2}}$
202393	Solve for x	5/(3ab)=x/(12a^2bc^3)	$\frac{5}{3 a b} = \frac{x}{12 a^{2} b c^{3}}$
202394	Solve for n	(n root of a)^n=a	${(\sqrt[n]{a})}^{n} = a$
202395	Solve for X	4X=2X+6	$4 X = 2 X + 6$
202396	Simplify	cube root of (x^6)/27	$\sqrt[3]{\frac{x^{6}}{27}}$
202397	Multiply	(5 square root of 3+ square root of 15)*(3 square root of 5- square root of 15)	$(5 \sqrt{3} + \sqrt{15}) \cdot (3 \sqrt{5} - \sqrt{15})$
202398	Simplify	(x+y)/(x^-1+y^-1)	$\frac{x + y}{x^{- 1} + y^{- 1}}$
202399	Write in Slope-Intercept Form	9x-7y>0	$9 x - 7 y > 0$
202400	Simplify	(a^3)/(b^-2)*(ab^2)/(a^4)	$\frac{a^{3}}{b^{- 2}} \cdot \frac{a b^{2}}{a^{4}}$