Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
234301	Multiply	((x+1)/x)(2+1/(x+1))	$(\frac{x + 1}{x}) (2 + \frac{1}{x + 1})$
234302	Find the Roots (Zeros)	y=(x-6)(x+8)(2x+1)	$y = (x - 6) (x + 8) (2 x + 1)$
234303	Solve for a	The diagram below shows the curve y=x^3-ax^2 ; where a is a positive constant. Find the area of the shaded region in terms of a	The diagram below shows the curve $y = x^{3} - a x^{2}$ ; where a is a positive constant. Find the area of the shaded region in terms of $a$
234304	Find the End Behavior	f(x)=5x-x^2-2x^6+3	$f (x) = 5 x - x^{2} - 2 x^{6} + 3$
234305	Simplify	e^(-1/2)	$e^{- \frac{1}{2}}$
234306	Combine Like Terms	(4c-11)-(4c+11)	$(4 c - 11) - (4 c + 11)$
234307	Simplify	(3x^4+9x^3-7x+15)+(-6x^4-8x^2+5x-3)	$(3 x^{4} + 9 x^{3} - 7 x + 15) + (- 6 x^{4} - 8 x^{2} + 5 x - 3)$
234308	Convert to Radical Form	-5ab3/4	$- 5 a b \frac{3}{4}$
234309	Simplify	7x^3+6+1-4-x+x^3+3x	$7 x^{3} + 6 + 1 - 4 - x + x^{3} + 3 x$
234310	Solve for t	1000=-16t^2+1800	$1000 = - 16 t^{2} + 1800$
234311	Simplify	6y+7-2(2x+y+1)	$6 y + 7 - 2 (2 x + y + 1)$
234312	Factor	Factor x^2+7x+12	Factor $x^{2} + 7 x + 12$
234313	Simplify	1/((5x)^(-3/2))	$\frac{1}{{(5 x)}^{- \frac{3}{2}}}$
234314	Graph	x^2+y^2<=49 x^2-4y^2>16	$x^{2} + y^{2} \leq 49$ $x^{2} - 4 y^{2} > 16$
234315	Find the Excluded Values	1/(x-1)+2=5/(x-1)	$\frac{1}{x - 1} + 2 = \frac{5}{x - 1}$
234316	Simplify	((6ab^-4)/(b^3))^2	${(\frac{6 a b^{- 4}}{b^{3}})}^{2}$
234317	Evaluate	x^2-36=0	$x^{2} - 36 = 0$
234318	Solve the Inequality for x	1/3(4x+3)>=2/3x+2	$\frac{1}{3} (4 x + 3) \geq \frac{2}{3} x + 2$
234319	Write in Standard Form	2/3m^4-5/6m^6	$\frac{2}{3} m^{4} - \frac{5}{6} m^{6}$
234320	Evaluate	2x^2-6x-8=0	$2 x^{2} - 6 x - 8 = 0$
234321	Graph	f(x)=(x^2-5x-14)/(q(x))	$f (x) = \frac{x^{2} - 5 x - 14}{q (x)}$
234322	Simplify	cube root of 5(2 square root of 3)	$\sqrt[3]{5} (2 \sqrt{3})$
234323	Solve for y	z/y=y/x	$\frac{z}{y} = \frac{y}{x}$
234324	Convert to Interval Notation	x<4 and x>-1	$x < 4$ and $x > - 1$
234325	Solve for t	A(t)=2400(1/2)^(t/14)	$A (t) = 2400 {(\frac{1}{2})}^{\frac{t}{14}}$
234326	Solve for x	2 square root of x+3<=8	$2 \sqrt{x + 3} \leq 8$
234327	Solve for x	f(-x)=3x^2+2x-3	$f (- x) = 3 x^{2} + 2 x - 3$
234328	Evaluate	(-1 2/5)(-2 3/4)	$(- 1 \frac{2}{5}) (- 2 \frac{3}{4})$
234329	Write in Standard Form	(6k^4)(-k^2)	$(6 k^{4}) (- k^{2})$
234330	Solve for x	2^x=2 square root of 2	$2^{x} = 2 \sqrt{2}$
234331	Simplify	(x^2-4x-21)-(x+3)	$(x^{2} - 4 x - 21) - (x + 3)$
234332	Solve for x	x+2x+4x+6x+7x+10x=360	$x + 2 x + 4 x + 6 x + 7 x + 10 x = 360$
234333	Solve for y	C=7(y+k)	$C = 7 (y + k)$
234334	Combine Like Terms	(2x+5y-z)+(-6x-4y+7z)	$(2 x + 5 y - z) + (- 6 x - 4 y + 7 z)$
234335	Evaluate	18(1/9)^2-111/9	$18 \cdot {(\frac{1}{9})}^{2} - 11 \cdot \frac{1}{9}$
234336	Graph	x-2y=-4 y=-1/2x+6	$x - 2 y = - 4$ $y = - \frac{1}{2} x + 6$
234337	Solve for r	6r-4+94=180	$6 r - 4 + 94 = 180$
234338	Simplify	((2x-2)/(x+5))÷((x^2-4x+3)/(2x^2+13x+15))	$\frac{2 x - 2}{x + 5} \div \frac{x^{2} - 4 x + 3}{2 x^{2} + 13 x + 15}$
234339	Find the x and y Intercepts	y=1/2x^3+x^2-3x+1	$y = \frac{1}{2} x^{3} + x^{2} - 3 x + 1$
234340	Evaluate	cos(theta)=5/8	$\cos (θ) = \frac{5}{8}$
234341	Find g(f(x))	f(x)=3x+2 , g(x)=2x^2-1	$f (x) = 3 x + 2$ , $g (x) = 2 x^{2} - 1$
234342	Find the Inverse	f^-1(x)=(2x+6)/(x+4)	$f^{- 1} (x) = \frac{2 x + 6}{x + 4}$
234343	Solve for x	6^x=3^(2x)-2^(2x)	$6^{x} = 3^{2 x} - 2^{2 x}$
234344	Find the Exact Value	pi*6^2	$π \cdot 6^{2}$
234345	Simplify	4(5)^4+24(5)^(1/3)	$4 {(5)}^{4} + 24 {(5)}^{\frac{1}{3}}$
234346	Solve for y	(2y-3)(y-2)=-12y+18	$(2 y - 3) (y - 2) = - 12 y + 18$
234347	Simplify	(3x^2-7xy+4)-(x^2-2xy+2)	$(3 x^{2} - 7 x y + 4) - (x^{2} - 2 x y + 2)$
234348	Simplify	(4^8)/(5^3)	$\frac{4^{8}}{5^{3}}$
234349	Subtract	(5x^2-9)+(-10x+7)	$(5 x^{2} - 9) + (- 10 x + 7)$
234350	Graph	0=(2pi)/3	$0 = \frac{2 π}{3}$
234351	Evaluate	(3.5*2/7-2/3)/16	$\frac{(3.5 \cdot \frac{2}{7} - \frac{2}{3})}{16}$
234352	Evaluate	(e^0.1-1)/0.1	$\frac{e^{0.1} - 1}{0.1}$
234353	Graph	graph the line x=6	graph the line $x = 6$
234354	Solve for x	(3x+2)^4=232	${(3 x + 2)}^{4} = 232$
234355	Solve the System of Equations	5x-y/2=-1 3x-2y=1	$5 x - \frac{y}{2} = - 1$ $3 x - 2 y = 1$
234356	Evaluate	csc(-(9pi)/2)+cot(-(7pi)/4)	$\csc (- \frac{9 π}{2}) + \cot (- \frac{7 π}{4})$
234357	Write in Standard Form	(2i)^4	${(2 i)}^{4}$
234358	Evaluate	2sin((5pi)/4)	$2 \sin (\frac{5 π}{4})$
234359	Solve for θ	cos(theta)>0	$\cos (θ) > 0$
234360	Factor	24ab-8a^2b+32a	$24 a b - 8 a^{2} b + 32 a$
234361	Solve for x	6x+10+2x+5+3x-11=180	$6 x + 10 + 2 x + 5 + 3 x - 11 = 180$
234362	Solve for x	Solve square root of 2x+21 = square root of 2x+3	Solve $\sqrt{2 x + 21} = \sqrt{2 x} + 3$
234363	Describe the Transformation	f(x)=(1/3x)^3-3	$f (x) = {(\frac{1}{3} x)}^{3} - 3$
234364	Evaluate	((2^-4)/(2^-2))^-1	${(\frac{2^{- 4}}{2^{- 2}})}^{- 1}$
234365	Evaluate	3cos(pi/3)	$3 \cos (\frac{π}{3})$
234366	Solve the Inequality for x	-1<=3-2x<5	$- 1 \leq 3 - 2 x < 5$
234367	Simplify	((x^0y^-3z^2)/(2x^3y^2z^-4))^3	${(\frac{x^{0} y^{- 3} z^{2}}{2 x^{3} y^{2} z^{- 4}})}^{3}$
234368	Solve for x	3tan(x)^2=tan(x)	$3 \tan^{2} (x) = \tan (x)$
234369	Expand the Logarithmic Expression	log of (c^7)/( cube root of a^7b^5)	$\log (\frac{c^{7}}{\sqrt[3]{a^{7} b^{5}}})$
234370	Solve the Inequality for x	5\|x+9\|<=10	$5 \| x + 9 \| \leq 10$
234371	Find the x and y Intercepts	s(x)=-5*2^(3x+1)	$s (x) = - 5 \cdot 2^{3 x + 1}$
234372	Complete the Square	1/4x^2+x+1	$\frac{1}{4} x^{2} + x + 1$
234373	Solve for x	6(x-4)+x=5(x-2)	$6 (x - 4) + x = 5 (x - 2)$
234374	Simplify	4w^8x^5y^-4z^-2	$4 w^{8} x^{5} y^{- 4} z^{- 2}$
234375	Simplify the Radical Expression	square root of 3( square root of 5- square root of 3)	$\sqrt{3} (\sqrt{5} - \sqrt{3})$
234376	Evaluate	(4+2n^3)+(5n^3+2)	$(4 + 2 n^{3}) + (5 n^{3} + 2)$
234377	Write in Standard Form	8=y^2-12	$8 = y^{2} - 12$
234378	Find All Complex Solutions	theta=(1pi)/4	$θ = \frac{1 π}{4}$
234379	Write in Standard Form	27x^3+27/2x^2+9/4x+1/8	$27 x^{3} + \frac{27}{2} x^{2} + \frac{9}{4} x + \frac{1}{8}$
234380	Rationalize the Denominator	-1/( square root of 2)	$\frac{- 1}{\sqrt{2}}$
234381	Simplify	((x^3)/(y^8))^4((2x^3y)/(x^2y^5))	${(\frac{x^{3}}{y^{8}})}^{4} (\frac{2 x^{3} y}{x^{2} y^{5}})$
234382	Find the Roots (Zeros)	2x^4+x^3-x^2-x-1	$2 x^{4} + x^{3} - x^{2} - x - 1$
234383	Solve for x	0=(3(2x-1))/(2x-3)	$0 = \frac{3 (2 x - 1)}{2 x - 3}$
234384	Solve for x	(10x+3)=(3x-4)	$(10 x + 3) = (3 x - 4)$
234385	Simplify	10(10x^-1)^-1	$10 {(10 x^{- 1})}^{- 1}$
234386	Find All Complex Solutions	2/(x+2)+1/10=3/(x+3)	$\frac{2}{x + 2} + \frac{1}{10} = \frac{3}{x + 3}$
234387	Find the Holes in the Graph	(x+3)/(-3x^2-9x)	$\frac{x + 3}{- 3 x^{2} - 9 x}$
234388	Simplify	((d^2)/(e^(2/3)))^(2/5)	${(\frac{d^{2}}{e^{\frac{2}{3}}})}^{\frac{2}{5}}$
234389	Solve for b	log base 4 of 64=2b-1	$\log_{4} (64) = 2 b - 1$
234390	Graph	y>-2x+1y	$y > - 2 x + 1 y$
234391	Simplify	x-2/3	$x \frac{- 2}{3}$
234392	Solve for x	log base 2 of x^2-7- log base 2 of x+5=0	$\log_{2} (x^{2} - 7) - \log_{2} (x + 5) = 0$
234393	Find the LCM	7 and 3	$7$ and $3$
234394	Solve for x	3-x>=0	$3 - x \geq 0$
234395	Identify the Zeros and Their Multiplicities	f(x)=5(x^2+4)^2(x-3)^3	$f (x) = 5 {(x^{2} + 4)}^{2} {(x - 3)}^{3}$
234396	Simplify	cube root of -3*(1/375)^(1/3)	$\sqrt[3]{- 3} \cdot {(\frac{1}{375})}^{\frac{1}{3}}$
234397	Evaluate	y=(1/5)^0	$y = {(\frac{1}{5})}^{0}$
234398	Factor	3ac-5bd+bc-15ad	$3 a c - 5 b d + b c - 15 a d$
234399	Find the Exact Value	77777*7	$7 \cdot 7 \cdot 7 \cdot 7 \cdot 7 \cdot 7$
234400	Evaluate	(( square root of 6)/2)^2	${(\frac{\sqrt{6}}{2})}^{2}$