Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
222301	Simplify	e^(- natural log of cos(x))	$e^{- \ln (\cos (x))}$
222302	Find the Domain and Range	1/5 square root of x-3	$\frac{1}{5} \sqrt{x - 3}$
222303	Solve Using the Quadratic Formula	18=-2(x-1)^2	$18 = - 2 {(x - 1)}^{2}$
222304	Find the Roots (Zeros)	x^2=9x-14	$x^{2} = 9 x - 14$
222305	Divide	(3 cube root of 2)/( cube root of 3)	$\frac{3 \sqrt[3]{2}}{\sqrt[3]{3}}$
222306	Solve by Addition/Elimination	x+2y=4 -x-y=2	$x + 2 y = 4$ $- x - y = 2$
222307	Find the x and y Intercepts	f(x)=- square root of x+1+4	$f (x) = - \sqrt{x + 1} + 4$
222308	Solve for x	(2x-6)^(2/3)=x^(1/3)	${(2 x - 6)}^{\frac{2}{3}} = x^{\frac{1}{3}}$
222309	Solve for b	37=7+6b^3	$37 = 7 + 6 b^{3}$
222310	Solve the System of Equations	-2x-y=-5 and 5x+6y=-19	$- 2 x - y = - 5$ and $5 x + 6 y = - 19$
222311	Simplify	5v eighth root of 225v^2	$5 v \sqrt[8]{225 v^{2}}$
222312	Evaluate	(b^2)=b^8	$(b^{2}) = b^{8}$
222313	Solve the Inequality for x	2x^2-28x+89>-7	$2 x^{2} - 28 x + 89 > - 7$
222314	Expand Using the Binomial Theorem	(x-2/(x^2))^9	${(x - \frac{2}{x^{2}})}^{9}$
222315	Write in Slope-Intercept Form	(0,1) and (5,3)	$(0, 1)$ and $(5, 3)$
222316	Solve for x	1/2x-3=3/2-3x	$\frac{1}{2} x - 3 = \frac{3}{2} - 3 x$
222317	Simplify	(x^2+9)^4(-1/3)(x+6)^(-4/3)+(x+6)^(-1/3)(4)(x^2+9)^3(2x)	${(x^{2} + 9)}^{4} (- \frac{1}{3}) {(x + 6)}^{- \frac{4}{3}} + {(x + 6)}^{- \frac{1}{3}} (4) {(x^{2} + 9)}^{3} (2 x)$
222318	Write the Fraction in Simplest Form	(5b^-10v^-10)/((3bv^-1)^-4)	$\frac{5 b^{- 10} v^{- 10}}{{(3 b v^{- 1})}^{- 4}}$
222319	Write Using Positive Exponents	(3^-2a^0)/(b^-2)	$\frac{3^{- 2} a^{0}}{b^{- 2}}$
222320	Solve for t	20/45+20/t=1	$\frac{20}{45} + \frac{20}{t} = 1$
222321	Expand the Logarithmic Expression	natural log of square root of (2x)/(x-2)	$\ln (\sqrt{\frac{2 x}{x - 2}})$
222322	Simplify the Radical Expression	((x^(1/2)*x^(5/12))^4)÷(x^(2/3))	${(x^{\frac{1}{2}} \cdot x^{\frac{5}{12}})}^{4} \div x^{\frac{2}{3}}$
222323	Find the LCD	2/(x-6) and 7/(x+6)	$\frac{2}{x - 6}$ and $\frac{7}{x + 6}$
222324	Find the Exact Value	-2 1/3-(-5)	$- 2 \frac{1}{3} - (- 5)$
222325	Find the Exact Value	cos(240)^2	$\cos^{2} (240)$
222326	Expand the Logarithmic Expression	natural log of square root of (9x)/(x-9)	$\ln (\sqrt{\frac{9 x}{x - 9}})$
222327	Simplify	4x^3y^3(3x^3-7xy^2+2xy-y)	$4 x^{3} y^{3} (3 x^{3} - 7 x y^{2} + 2 x y - y)$
222328	Multiply	9m^2n*-3mn^2	$9 m^{2} n \cdot - 3 m n^{2}$
222329	Find the Domain and Range	g(x)=-(x^2)/4+7	$g (x) = - \frac{x^{2}}{4} + 7$
222330	Simplify the Radical Expression	fourth root of 3^3* square root of 3^5	$\sqrt[4]{3^{3}} \cdot \sqrt{3^{5}}$
222331	Simplify	square root of 7( square root of 2+ square root of 3- square root of 5)	$\sqrt{7} (\sqrt{2} + \sqrt{3} - \sqrt{5})$
222332	Find the Exact Value	(-2)^4(-2)^-1	${(- 2)}^{4} {(- 2)}^{- 1}$
222333	Solve for x	32/(2x)=8	$\frac{32}{2 x} = 8$
222334	Simplify	18-(-6x)-3+8x	$18 - (- 6 x) - 3 + 8 x$
222335	Solve for x	x-3(2-3x)=2(5x+3)	$x - 3 (2 - 3 x) = 2 (5 x + 3)$
222336	Simplify	(6x^(5/4)y^(-5/4))/( fourth root of 81x^2y)	$\frac{6 x^{\frac{5}{4}} y^{- \frac{5}{4}}}{\sqrt[4]{81 x^{2} y}}$
222337	Evaluate	x+x-(-3)=12	$x + x - (- 3) = 12$
222338	Simplify	3/( square root of 18xy^2)	$\frac{3}{\sqrt{18 x y^{2}}}$
222339	Find the x and y Intercepts	y=(10x)/((x+3)^2)	$y = \frac{10 x}{{(x + 3)}^{2}}$
222340	Solve for x	log base x of 243/32=5	$\log_{x} (\frac{243}{32}) = 5$
222341	Simplify	5/6(-2y+3)	$\frac{5}{6} (- 2 y + 3)$
222342	Graph	4x+y>=4 3x-2y>14	$4 x + y \geq 4$ $3 x - 2 y > 14$
222343	Solve the Inequality for x	\|3-2x\|>=1	$\| 3 - 2 x \| \geq 1$
222344	Simplify	square root of q sixth root of q^11	$\sqrt{q} \sqrt[6]{q^{11}}$
222345	Evaluate	-2(-7+11)-5-(-2+(-3+5)-(4-(2+3)))	$- 2 (- 7 + 11) - 5 - (- 2 + (- 3 + 5) - (4 - (2 + 3)))$
222346	Divide	(r^2s+rs^2)/(rs)	$\frac{r^{2} s + r s^{2}}{r s}$
222347	Simplify	1/2(-sin(x)^2-cos(x)^2)	$\frac{1}{2} (- \sin^{2} (x) - \cos^{2} (x))$
222348	Write the Fraction in Simplest Form	(12y^5m)/(4(y^3m^4)^-2)	$\frac{12 y^{5} m}{4 {(y^{3} m^{4})}^{- 2}}$
222349	Graph	(3s^8)^(-)*5	${(3 s^{8})}^{-} \cdot 5$
222350	Solve the Inequality for x	(2x)/3-(x+1)/4<=-2	$\frac{2 x}{3} - \frac{x + 1}{4} \leq - 2$
222351	Simplify	(-6xy)(6y)	$(- 6 x y) (6 y)$
222352	Evaluate	(4/3-1/2)/(2/5+1/3)	$\frac{\frac{4}{3} - \frac{1}{2}}{\frac{2}{5} + \frac{1}{3}}$
222353	Solve for a	4a^3=3a^2	$4 a^{3} = 3 a^{2}$
222354	Evaluate	((2.2)^7)/((2.2)^9)	$\frac{{(2.2)}^{7}}{{(2.2)}^{9}}$
222355	Simplify	(2a^2)/( square root of 12a^10)	$\frac{2 a^{2}}{\sqrt{12 a^{10}}}$
222356	Evaluate	2(48/3)^(-1/4)	$2 {(\frac{48}{3})}^{- \frac{1}{4}}$
222357	Graph	y>=2x^2+4x	$y \geq 2 x^{2} + 4 x$
222358	Simplify	2y(a+y)	$2 y (a + y)$
222359	Solve for x	square root of x=x/2	$\sqrt{x} = \frac{x}{2}$
222360	Simplify	(5x^2-25x)/x	$\frac{5 x^{2} - 25 x}{x}$
222361	Write in y=mx+b Form	(-9,-9) and (-6,0)	$(- 9, - 9)$ and $(- 6, 0)$
222362	Solve for x	2/3x-5>3	$\frac{2}{3} x - 5 > 3$
222363	Find the Exact Value	sin(pi/3)cos(pi/6)-tan(pi/3)	$\sin (\frac{π}{3}) \cos (\frac{π}{6}) - \tan (\frac{π}{3})$
222364	Simplify	((64m^(1/2)r^3)/(m^(5/2)r^(1/4)))^(1/2)	${(\frac{64 m^{\frac{1}{2}} r^{3}}{m^{\frac{5}{2}} r^{\frac{1}{4}}})}^{\frac{1}{2}}$
222365	Simplify	a^2b(a^3+5ab-b^3)+2ab(a^4-2a^2b+b^3a)	$a^{2} b (a^{3} + 5 a b - b^{3}) + 2 a b (a^{4} - 2 a^{2} b + b^{3} a)$
222366	Expand Using the Binomial Theorem	(( square root of x)/(y^2)-y/x)^18	${(\frac{\sqrt{x}}{y^{2}} - \frac{y}{x})}^{18}$
222367	Divide	(4x^4+2x^3+2x^2)÷(4x^2)	$(4 x^{4} + 2 x^{3} + 2 x^{2}) \div (4 x^{2})$
222368	Evaluate	(5/3)^0*2^-1	${(\frac{5}{3})}^{0} \cdot 2^{- 1}$
222369	Evaluate	(2a^2b)(4ab^2)	$(2 a^{2} b) (4 a b^{2})$
222370	Simplify	(x^7y^9)/(x^7y^9)	$\frac{x^{7} y^{9}}{x^{7} y^{9}}$
222371	Evaluate the Function	g(0)=0/( square root of 9-0^2)	$g (0) = \frac{0}{\sqrt{9 - 0^{2}}}$
222372	Solve for q	q^2=0	$q^{2} = 0$
222373	Simplify	(5+5^-2)^0(6^0+6)^-2	${(5 + 5^{- 2})}^{0} {(6^{0} + 6)}^{- 2}$
222374	Multiply	(10x^2+9x+2)/(3x-3)*(x-1)/(2x^2-5x-3)	$\frac{10 x^{2} + 9 x + 2}{3 x - 3} \cdot \frac{x - 1}{2 x^{2} - 5 x - 3}$
222375	Simplify	(3m^(1/4)n^(2/3))^3	${(3 m^{\frac{1}{4}} n^{\frac{2}{3}})}^{3}$
222376	Find the Exact Value	sin((3pi)/4)cos((7pi)/4)	$\sin (\frac{3 π}{4}) \cos (\frac{7 π}{4})$
222377	Find Where Undefined/Discontinuous	f(x)=(x+4)/( square root of x)	$f (x) = \frac{x + 4}{\sqrt{x}}$
222378	Evaluate	cube root of -(-1)	$\sqrt[3]{- (- 1)}$
222379	Evaluate	sixth root of 2* square root of 2^5	$\sqrt[6]{2} \cdot \sqrt{2^{5}}$
222380	Solve for p	6(p+2.25)=15 9/10	$6 (p + 2.25) = 15 \frac{9}{10}$
222381	Multiply	(-2x^2-x+2)(-2x^2+x-7)	$(- 2 x^{2} - x + 2) (- 2 x^{2} + x - 7)$
222382	Solve the Inequality for x	(x-1)/3<=(2x-6)/2	$\frac{x - 1}{3} \leq \frac{2 x - 6}{2}$
222383	Solve the Inequality for x	-3\|x+5\|+16<=7	$- 3 \| x + 5 \| + 16 \leq 7$
222384	Solve the System of Inequalities	4m+6<2 OR (m+4)/3>3	$4 m + 6 < 2$ OR $\frac{m + 4}{3} > 3$
222385	Simplify	(u^4v^3-14uv^4)+(2uv^4-9v^4-11u^4v^3)+(-8u^4v^3+9v^4)	$(u^{4} v^{3} - 14 u v^{4}) + (2 u v^{4} - 9 v^{4} - 11 u^{4} v^{3}) + (- 8 u^{4} v^{3} + 9 v^{4})$
222386	Find the End Behavior	y=x^7-3x^5-5x^3	$y = x^{7} - 3 x^{5} - 5 x^{3}$
222387	Solve the Inequality for y	2(y-2)>-4+2y	$2 (y - 2) > - 4 + 2 y$
222388	Simplify	4 cube root of -2	$4 \sqrt[3]{- 2}$
222389	Solve for t	S(t)=2t3/2-9t+6	$S (t) = 2 t \frac{3}{2} - 9 t + 6$
222390	Write in Standard Form	18=6x+x(x-13)	$18 = 6 x + x (x - 13)$
222391	Solve for p	31p^2+10p+1=6p^2	$31 p^{2} + 10 p + 1 = 6 p^{2}$
222392	Divide	((-2m^4)^2)/(8m^2)	$\frac{{(- 2 m^{4})}^{2}}{8 m^{2}}$
222393	Graph	x-1/x	$x - \frac{1}{x}$
222394	Solve for x	f(x)=2^x	$f (x) = 2^{x}$
222395	Solve for w	1/6w>=2.5	$\frac{1}{6} w \geq 2.5$
222396	Find the Degree	-y square root of 6+2yz	$- y \sqrt{6} + 2 y z$
222397	Divide Using Synthetic Division	Use synthetic division to find the result when x^3+3x^2-16x-6 is divided by x-3	Use synthetic division to find the result when $x^{3} + 3 x^{2} - 16 x - 6$ is divided by $x - 3$
222398	Simplify	-3+(4-2(6-3+4(5-7))+3)	$- 3 + (4 - 2 (6 - 3 + 4 (5 - 7)) + 3)$
222399	Simplify	-2x^4y^2(6y-xy)	$- 2 x^{4} y^{2} (6 y - x y)$
222400	Simplify	i square root of 25	$i \sqrt{25}$