Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
230101	Write in Standard Form	x^4+3x^3-x+7	$x^{4} + 3 x^{3} - x + 7$
230102	Simplify the Radical Expression	sixth root of 1/(w^-6*w^4)	$\sqrt[6]{\frac{1}{w^{- 6} \cdot w^{4}}}$
230103	Solve for x	-5+(x+7)/(3x)=-7/3	$- 5 + \frac{x + 7}{3 x} = \frac{- 7}{3}$
230104	Write in Standard Form	y=-x/3+2/3	$y = - \frac{x}{3} + \frac{2}{3}$
230105	Solve the System of Equations	1/5x-1/4y=3 2/5x+1/2y=3	$\frac{1}{5} x - \frac{1}{4} y = 3$ $\frac{2}{5} x + \frac{1}{2} y = 3$
230106	Simplify	(10^310^-510^10)/(10^6)	$\frac{10^{3} \cdot 10^{- 5} \cdot 10^{10}}{10^{6}}$
230107	Evaluate	4(-2+y)-2y	$4 (- 2 + y) - 2 y$
230108	Graph	x<2 or x>4	$x < 2$ or $x > 4$
230109	Simplify	((2x)/(3y-1))^2	${(\frac{2 x}{3 y - 1})}^{2}$
230110	Factor	1+9x^4+6x^2	$1 + 9 x^{4} + 6 x^{2}$
230111	Solve for x	x=3 log of y^2	$x = 3 \log (y^{2})$
230112	Graph	y+2>x	$y + 2 > x$
230113	Evaluate	0.25-1.125-16/8	$0.25 - 1.125 - \frac{16}{8}$
230114	Combine Like Terms	2x+2y-2x+y	$2 x + 2 y - 2 x + y$
230115	Write in Slope-Intercept Form	(3,4) and (-6,-2)	$(3, 4)$ and $(- 6, - 2)$
230116	Solve for p	(3p)/4=2/5	$\frac{3 p}{4} = \frac{2}{5}$
230117	Simplify	(2x-11x^2+14)+(7x^2-x+3)	$(2 x - 11 x^{2} + 14) + (7 x^{2} - x + 3)$
230118	Solve for k	(714.0*1/760)(0.399)=(0.4270/k)(0.0821)(300.1)	$(714 \times \frac{1}{760}) (0.399) = (\frac{0.427}{k}) (0.0821) (300.1)$
230119	Solve for t	x=1/2cos(2t+1)	$x = \frac{1}{2} \cos (2 t + 1)$
230120	Convert to Interval Notation	2x+1<=-6 or 2x+1>=6	$2 x + 1 \leq - 6$ or $2 x + 1 \geq 6$
230121	Simplify	(2y)^3(-2x^-1)^2(3y^4)	${(2 y)}^{3} {(- 2 x^{- 1})}^{2} (3 y^{4})$
230122	Find the Exact Value	sin(165)*sin(15)	$\sin (165) \cdot \sin (15)$
230123	Simplify	5÷(3+ square root of 5)	$5 \div (3 + \sqrt{5})$
230124	Solve by Substitution	y+16x-22=4x^2 4x^2-24x+26+y=0	$y + 16 x - 22 = 4 x^{2}$ $4 x^{2} - 24 x + 26 + y = 0$
230125	Simplify	4^26^38^0	$4^{2} \cdot 6^{3} \cdot 8^{0}$
230126	Solve for r	r = square root of S/12.6	$r = \sqrt{\frac{S}{12.6}}$
230127	Solve for x	square root of 4+x=-2-x	$\sqrt{4 + x} = - 2 - x$
230128	Find the x and y Intercepts	x=1/2	$x = \frac{1}{2}$
230129	Solve for y	x=1/3yz^2+4	$x = \frac{1}{3} y z^{2} + 4$
230130	Convert to a Decimal	300deg to rad	$300$ degrees to radians
230131	Simplify	(2x^2+9-5x^2)-(-6x^2+5)	$(2 x^{2} + 9 - 5 x^{2}) - (- 6 x^{2} + 5)$
230132	Solve for x	square root of 10x=3 square root of x+1	$\sqrt{10 x} = 3 \sqrt{x + 1}$
230133	Evaluate	3/(2(3)^(1/2))	$\frac{3}{2 {(3)}^{\frac{1}{2}}}$
230134	Solve for x	a=b+ square root of x	$a = b + \sqrt{x}$
230135	Solve the System of Equations	y=6x y=5x+7	$y = 6 x$ $y = 5 x + 7$
230136	Solve the Inequality for x	4x^2+9x<=x-3	$4 x^{2} + 9 x \leq x - 3$
230137	Multiply	1/2*pi/2	$\frac{1}{2} \cdot \frac{π}{2}$
230138	Solve for x	e^xe^(x+1)=1	$e^{x} e^{x + 1} = 1$
230139	Solve Using the Square Root Property	2(x-7)^2=2	$2 {(x - 7)}^{2} = 2$
230140	Simplify	2x+4-2/3+x	$2 x + 4 - \frac{2}{3} + x$
230141	Simplify	Simplify the expression (6^2)^4	Simplify the expression ${(6^{2})}^{4}$
230142	Find the Roots (Zeros)	P(x)=8x^5-14x^4-22x^3+57x^2-35x+6	$P (x) = 8 x^{5} - 14 x^{4} - 22 x^{3} + 57 x^{2} - 35 x + 6$
230143	Simplify	x/(x^2-1)-2/(x+1)	$\frac{x}{x^{2} - 1} - \frac{2}{x + 1}$
230144	Solve for m	4/5=(m-7)/10	$\frac{4}{5} = \frac{m - 7}{10}$
230145	Expand the Logarithmic Expression	log base 9 of ((6^5)/((5)(11)))^4	$\log_{9} ({(\frac{6^{5}}{(5) (11)})}^{4})$
230146	Combine Like Terms	8n+4n^2-8n	$8 n + 4 n^{2} - 8 n$
230147	Simplify	(x^3+7x^2-4x-28)/(2x^2-3x-2)	$\frac{x^{3} + 7 x^{2} - 4 x - 28}{2 x^{2} - 3 x - 2}$
230148	Simplify	3 fourth root of 256- cube root of 64+ square root of 169	$3 \sqrt[4]{256} - \sqrt[3]{64} + \sqrt{169}$
230149	Evaluate	(4e^(-2x))^3	${(4 e^{- 2 x})}^{3}$
230150	Solve for x	(x^2-3)^(1/2)-(x+3)^(1/2)=0	${(x^{2} - 3)}^{\frac{1}{2}} - {(x + 3)}^{\frac{1}{2}} = 0$
230151	Solve for b	a=b-3c	$a = b - 3 c$
230152	Simplify	3/( square root of 2+1)	$\frac{3}{\sqrt{2 + 1}}$
230153	Factor	4x^(3/2)(x^3+x^2)-6x^(5/2)-6x^(3/2)	$4 x^{\frac{3}{2}} (x^{3} + x^{2}) - 6 x^{\frac{5}{2}} - 6 x^{\frac{3}{2}}$
230154	Simplify	((a^2b^-4)/(b^2))^5	${(\frac{a^{2} b^{- 4}}{b^{2}})}^{5}$
230155	Graph	\|x\|<=3 \|y\|<=4	$\| x \| \leq 3$ $\| y \| \leq 4$
230156	Graph Using a Table of Values	f(x)=1/2x+3	$f (x) = \frac{1}{2} x + 3$
230157	Find the Exact Value	arccot(cot((5pi)/4))	$arccot (\cot (\frac{5 π}{4}))$
230158	Factor	2sin(x)^2+sin(x)-1=0	$2 \sin^{2} (x) + \sin (x) - 1 = 0$
230159	Find the Domain and Range	y=-3sin(x/3)	$y = - 3 \sin (\frac{x}{3})$
230160	Evaluate	25% of 32	$25 %$ of $32$
230161	Solve the Inequality for g	-6g+3g+12>-18	$- 6 g + 3 g + 12 > - 18$
230162	Solve for n	n-8/9=4/9	$n - \frac{8}{9} = \frac{4}{9}$
230163	Divide Using Long Polynomial Division	(2x^5+5x^3)/x	$\frac{2 x^{5} + 5 x^{3}}{x}$
230164	Solve for x	log of square root of x = square root of log of x	$\log (\sqrt{x}) = \sqrt{\log (x)}$
230165	Simplify	(x^3y^4z)^3(x^5y*z^3)^2	${(x^{3} \cdot y^{4} \cdot z)}^{3} \cdot {(x^{5} \cdot y \cdot z^{3})}^{2}$
230166	Solve for x	2(x-1)^(1/2)=(26+x)^(1/2)	$2 {(x - 1)}^{\frac{1}{2}} = {(26 + x)}^{\frac{1}{2}}$
230167	Evaluate	arccot(cot((5pi)/4))	$arccot (\cot (\frac{5 π}{4}))$
230168	Solve for b	-5/6(8+5b)=75+5/3b	$- \frac{5}{6} (8 + 5 b) = 75 + \frac{5}{3} b$
230169	Solve for c	92=2+10c^2	$92 = 2 + 10 c^{2}$
230170	Solve the Inequality for x	-x<=3/2+3/2(-2x-10)	$- x \leq \frac{3}{2} + \frac{3}{2} (- 2 x - 10)$
230171	Solve the Inequality for z	4z-4-2z>8-6	$4 z - 4 - 2 z > 8 - 6$
230172	Solve for y	x=2(2y-8)	$x = 2 (2 y - 8)$
230173	Solve for y	x=( square root of y-14.2)/0.05	$x = \frac{\sqrt{y - 14.2}}{0.05}$
230174	Solve for w	2/(w-5)=6/(3w-15)-4	$\frac{2}{w - 5} = \frac{6}{3 w - 15} - 4$
230175	Evaluate	(45^45*15^15)/(75^30)	$\frac{(45^{45} \cdot 15^{15})}{75^{30}}$
230176	Graph	x^2-4x+2>0	$x^{2} - 4 x + 2 > 0$
230177	Solve for y	y=1/4(4)^x for x=5	$y = \frac{1}{4} {(4)}^{x}$ for $x = 5$
230178	Simplify	cos(theta)^2+sin(theta)^2-sec(theta)cos(theta) ?	$\cos^{2} (θ) + \sin^{2} (θ) - \sec (θ) \cos (θ)$ ?
230179	Simplify	(4-2n^4-8n^3)-(7n^3-6+2n^4)	$(4 - 2 n^{4} - 8 n^{3}) - (7 n^{3} - 6 + 2 n^{4})$
230180	Graph	x+y=0 -x+y=-8	$x + y = 0$ $- x + y = - 8$
230181	Simplify	(5^25^3)/(5^35^2)	$\frac{5^{2} \cdot 5^{3}}{5^{3} \cdot 5^{2}}$
230182	Simplify	(50m^3+5m^2+20m)÷10m	$(50 m^{3} + 5 m^{2} + 20 m) \div 10 m$
230183	Convert to Radical Form	1/(x^(-3/6))	$\frac{1}{x^{- \frac{3}{6}}}$
230184	Simplify	-4a-3/2(-1/2a+3)	$- 4 a - \frac{3}{2} (- \frac{1}{2} a + 3)$
230185	Evaluate	-7x>10	$- 7 x > 10$
230186	Solve the System of Equations	y=2x^2-5x -5x+y=-12	$y = 2 x^{2} - 5 x$ $- 5 x + y = - 12$
230187	Evaluate	log base (-2) of 4	$\log_{(- 2)} (4)$
230188	Simplify	cube root of 2xy^2+ cube root of 16xy^5+ cube root of 2x^4y^2	$\sqrt[3]{2 x y^{2}} + \sqrt[3]{16 x y^{5}} + \sqrt[3]{2 x^{4} y^{2}}$
230189	Factor by Grouping	z^6-9z^3+8	$z^{6} - 9 z^{3} + 8$
230190	Evaluate	cos(pi/4)^2-sin(pi/4)^2	$\cos^{2} (\frac{π}{4}) - \sin^{2} (\frac{π}{4})$
230191	Solve for n	log base 2 of n = log base 2 of 2n+6	$\log_{2} (n) = \log_{2} (2 n) + 6$
230192	Simplify	4/( square root of 64)	$\frac{4}{\sqrt{64}}$
230193	Rationalize the Denominator	square root of (2a)/(3b)	$\sqrt{\frac{2 a}{3 b}}$
230194	Simplify	(80^(1/4))/(5^(-1/4))	$\frac{80^{\frac{1}{4}}}{5^{\frac{- 1}{4}}}$
230195	Solve for x	(16/25)^(x^2+x)=1	${(\frac{16}{25})}^{x^{2} + x} = 1$
230196	Find All Complex Solutions	(x-3)(x+2)=0	$(x - 3) (x + 2) = 0$
230197	Solve the Inequality for y	1/2y<=-3	$\frac{1}{2} y \leq - 3$
230198	Write in Exponential Form	(x^6)/(4^7 square root of y^4)	$\frac{x^{6}}{4^{7} \sqrt{y^{4}}}$
230199	Simplify	cube root of 64^27	$\sqrt[3]{64^{27}}$
230200	Evaluate	-9+(8^2)÷(-4)	$- 9 + 8^{2} \div (- 4)$