Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
230101	Simplify	6 square root of b-3 square root of a+8 square root of a-10 square root of b	$6 \sqrt{b} - 3 \sqrt{a} + 8 \sqrt{a} - 10 \sqrt{b}$
230102	Factor by Grouping	15xy+30x^2y^2	$15 x y + 30 x^{2} y^{2}$
230103	Solve the Inequality for b	-2+b<3	$- 2 + b < 3$
230104	Solve the System of Inequalities	7x-8>9(x-1) and 3x+2<5x+3	$7 x - 8 > 9 (x - 1)$ and $3 x + 2 < 5 x + 3$
230105	Evaluate	natural log of \|e^2\|	$\ln (\| e^{2} \|)$
230106	Simplify	(1/2g^2+7/2)+(3g^2-4/5g+1/4)	$(\frac{1}{2} g^{2} + \frac{7}{2}) + (3 g^{2} - \frac{4}{5} g + \frac{1}{4})$
230107	Describe the Transformation	y=2(x)^3-5	$y = 2 {(x)}^{3} - 5$
230108	Find the Remainder	(9x^2+3x^3-14)÷(x^2+x-3)	$(9 x^{2} + 3 x^{3} - 14) \div (x^{2} + x - 3)$
230109	Simplify	(8a^5-4)+(3a^5+a-2)	$(8 a^{5} - 4) + (3 a^{5} + a - 2)$
230110	Find the Slope and y-intercept	6x+-2y=18	$6 x + - 2 y = 18$
230111	Convert to a Simplified Fraction	45% as a fraction	$45 %$ as a fraction
230112	Simplify	2/3(4)^(3/2)	$\frac{2}{3} {(4)}^{\frac{3}{2}}$
230113	Solve the Inequality for x	y>2x+1	$y > 2 x + 1$
230114	Evaluate	3 cube root of x=12	$3 \sqrt[3]{x} = 12$
230115	Solve for t	7/3t-5=19	$\frac{7}{3} t - 5 = 19$
230116	Factor by Grouping	8x^2+28xy	$8 x^{2} + 28 x y$
230117	Write in Standard Form	x^4+3x^3-x+7	$x^{4} + 3 x^{3} - x + 7$
230118	Simplify the Radical Expression	sixth root of 1/(w^-6*w^4)	$\sqrt[6]{\frac{1}{w^{- 6} \cdot w^{4}}}$
230119	Solve for x	-5+(x+7)/(3x)=-7/3	$- 5 + \frac{x + 7}{3 x} = \frac{- 7}{3}$
230120	Write in Standard Form	y=-x/3+2/3	$y = - \frac{x}{3} + \frac{2}{3}$
230121	Solve the System of Equations	1/5x-1/4y=3 2/5x+1/2y=3	$\frac{1}{5} x - \frac{1}{4} y = 3$ $\frac{2}{5} x + \frac{1}{2} y = 3$
230122	Simplify	(10^310^-510^10)/(10^6)	$\frac{10^{3} \cdot 10^{- 5} \cdot 10^{10}}{10^{6}}$
230123	Evaluate	4(-2+y)-2y	$4 (- 2 + y) - 2 y$
230124	Graph	x<2 or x>4	$x < 2$ or $x > 4$
230125	Simplify	((2x)/(3y-1))^2	${(\frac{2 x}{3 y - 1})}^{2}$
230126	Factor	1+9x^4+6x^2	$1 + 9 x^{4} + 6 x^{2}$
230127	Solve for x	x=3 log of y^2	$x = 3 \log (y^{2})$
230128	Graph	y+2>x	$y + 2 > x$
230129	Evaluate	0.25-1.125-16/8	$0.25 - 1.125 - \frac{16}{8}$
230130	Combine Like Terms	2x+2y-2x+y	$2 x + 2 y - 2 x + y$
230131	Write in Slope-Intercept Form	(3,4) and (-6,-2)	$(3, 4)$ and $(- 6, - 2)$
230132	Solve for p	(3p)/4=2/5	$\frac{3 p}{4} = \frac{2}{5}$
230133	Simplify	(2x-11x^2+14)+(7x^2-x+3)	$(2 x - 11 x^{2} + 14) + (7 x^{2} - x + 3)$
230134	Solve for k	(714.0*1/760)(0.399)=(0.4270/k)(0.0821)(300.1)	$(714 \times \frac{1}{760}) (0.399) = (\frac{0.427}{k}) (0.0821) (300.1)$
230135	Solve for t	x=1/2cos(2t+1)	$x = \frac{1}{2} \cos (2 t + 1)$
230136	Convert to Interval Notation	2x+1<=-6 or 2x+1>=6	$2 x + 1 \leq - 6$ or $2 x + 1 \geq 6$
230137	Simplify	(2y)^3(-2x^-1)^2(3y^4)	${(2 y)}^{3} {(- 2 x^{- 1})}^{2} (3 y^{4})$
230138	Find the Exact Value	sin(165)*sin(15)	$\sin (165) \cdot \sin (15)$
230139	Simplify	5÷(3+ square root of 5)	$5 \div (3 + \sqrt{5})$
230140	Solve by Substitution	y+16x-22=4x^2 4x^2-24x+26+y=0	$y + 16 x - 22 = 4 x^{2}$ $4 x^{2} - 24 x + 26 + y = 0$
230141	Simplify	4^26^38^0	$4^{2} \cdot 6^{3} \cdot 8^{0}$
230142	Solve for r	r = square root of S/12.6	$r = \sqrt{\frac{S}{12.6}}$
230143	Solve for x	square root of 4+x=-2-x	$\sqrt{4 + x} = - 2 - x$
230144	Find the x and y Intercepts	x=1/2	$x = \frac{1}{2}$
230145	Solve for y	x=1/3yz^2+4	$x = \frac{1}{3} y z^{2} + 4$
230146	Convert to a Decimal	300deg to rad	$300$ degrees to radians
230147	Simplify	(2x^2+9-5x^2)-(-6x^2+5)	$(2 x^{2} + 9 - 5 x^{2}) - (- 6 x^{2} + 5)$
230148	Solve for x	square root of 10x=3 square root of x+1	$\sqrt{10 x} = 3 \sqrt{x + 1}$
230149	Evaluate	3/(2(3)^(1/2))	$\frac{3}{2 {(3)}^{\frac{1}{2}}}$
230150	Solve for x	a=b+ square root of x	$a = b + \sqrt{x}$
230151	Solve the System of Equations	y=6x y=5x+7	$y = 6 x$ $y = 5 x + 7$
230152	Solve the Inequality for x	4x^2+9x<=x-3	$4 x^{2} + 9 x \leq x - 3$
230153	Multiply	1/2*pi/2	$\frac{1}{2} \cdot \frac{π}{2}$
230154	Solve for x	e^xe^(x+1)=1	$e^{x} e^{x + 1} = 1$
230155	Solve Using the Square Root Property	2(x-7)^2=2	$2 {(x - 7)}^{2} = 2$
230156	Simplify	2x+4-2/3+x	$2 x + 4 - \frac{2}{3} + x$
230157	Simplify	Simplify the expression (6^2)^4	Simplify the expression ${(6^{2})}^{4}$
230158	Find the Roots (Zeros)	P(x)=8x^5-14x^4-22x^3+57x^2-35x+6	$P (x) = 8 x^{5} - 14 x^{4} - 22 x^{3} + 57 x^{2} - 35 x + 6$
230159	Simplify	x/(x^2-1)-2/(x+1)	$\frac{x}{x^{2} - 1} - \frac{2}{x + 1}$
230160	Solve for m	4/5=(m-7)/10	$\frac{4}{5} = \frac{m - 7}{10}$
230161	Expand the Logarithmic Expression	log base 9 of ((6^5)/((5)(11)))^4	$\log_{9} ({(\frac{6^{5}}{(5) (11)})}^{4})$
230162	Combine Like Terms	8n+4n^2-8n	$8 n + 4 n^{2} - 8 n$
230163	Simplify	(x^3+7x^2-4x-28)/(2x^2-3x-2)	$\frac{x^{3} + 7 x^{2} - 4 x - 28}{2 x^{2} - 3 x - 2}$
230164	Simplify	3 fourth root of 256- cube root of 64+ square root of 169	$3 \sqrt[4]{256} - \sqrt[3]{64} + \sqrt{169}$
230165	Evaluate	(4e^(-2x))^3	${(4 e^{- 2 x})}^{3}$
230166	Solve for x	(x^2-3)^(1/2)-(x+3)^(1/2)=0	${(x^{2} - 3)}^{\frac{1}{2}} - {(x + 3)}^{\frac{1}{2}} = 0$
230167	Solve for b	a=b-3c	$a = b - 3 c$
230168	Simplify	3/( square root of 2+1)	$\frac{3}{\sqrt{2 + 1}}$
230169	Factor	4x^(3/2)(x^3+x^2)-6x^(5/2)-6x^(3/2)	$4 x^{\frac{3}{2}} (x^{3} + x^{2}) - 6 x^{\frac{5}{2}} - 6 x^{\frac{3}{2}}$
230170	Simplify	((a^2b^-4)/(b^2))^5	${(\frac{a^{2} b^{- 4}}{b^{2}})}^{5}$
230171	Graph	\|x\|<=3 \|y\|<=4	$\| x \| \leq 3$ $\| y \| \leq 4$
230172	Graph Using a Table of Values	f(x)=1/2x+3	$f (x) = \frac{1}{2} x + 3$
230173	Find the Exact Value	arccot(cot((5pi)/4))	$arccot (\cot (\frac{5 π}{4}))$
230174	Factor	2sin(x)^2+sin(x)-1=0	$2 \sin^{2} (x) + \sin (x) - 1 = 0$
230175	Find the Domain and Range	y=-3sin(x/3)	$y = - 3 \sin (\frac{x}{3})$
230176	Evaluate	25% of 32	$25 %$ of $32$
230177	Solve the Inequality for g	-6g+3g+12>-18	$- 6 g + 3 g + 12 > - 18$
230178	Solve for n	n-8/9=4/9	$n - \frac{8}{9} = \frac{4}{9}$
230179	Divide Using Long Polynomial Division	(2x^5+5x^3)/x	$\frac{2 x^{5} + 5 x^{3}}{x}$
230180	Solve for x	log of square root of x = square root of log of x	$\log (\sqrt{x}) = \sqrt{\log (x)}$
230181	Simplify	(x^3y^4z)^3(x^5y*z^3)^2	${(x^{3} \cdot y^{4} \cdot z)}^{3} \cdot {(x^{5} \cdot y \cdot z^{3})}^{2}$
230182	Solve for x	2(x-1)^(1/2)=(26+x)^(1/2)	$2 {(x - 1)}^{\frac{1}{2}} = {(26 + x)}^{\frac{1}{2}}$
230183	Evaluate	arccot(cot((5pi)/4))	$arccot (\cot (\frac{5 π}{4}))$
230184	Solve for b	-5/6(8+5b)=75+5/3b	$- \frac{5}{6} (8 + 5 b) = 75 + \frac{5}{3} b$
230185	Solve for c	92=2+10c^2	$92 = 2 + 10 c^{2}$
230186	Solve the Inequality for x	-x<=3/2+3/2(-2x-10)	$- x \leq \frac{3}{2} + \frac{3}{2} (- 2 x - 10)$
230187	Solve the Inequality for z	4z-4-2z>8-6	$4 z - 4 - 2 z > 8 - 6$
230188	Solve for y	x=2(2y-8)	$x = 2 (2 y - 8)$
230189	Solve for y	x=( square root of y-14.2)/0.05	$x = \frac{\sqrt{y - 14.2}}{0.05}$
230190	Solve for w	2/(w-5)=6/(3w-15)-4	$\frac{2}{w - 5} = \frac{6}{3 w - 15} - 4$
230191	Evaluate	(45^45*15^15)/(75^30)	$\frac{(45^{45} \cdot 15^{15})}{75^{30}}$
230192	Graph	x^2-4x+2>0	$x^{2} - 4 x + 2 > 0$
230193	Solve for y	y=1/4(4)^x for x=5	$y = \frac{1}{4} {(4)}^{x}$ for $x = 5$
230194	Simplify	cos(theta)^2+sin(theta)^2-sec(theta)cos(theta) ?	$\cos^{2} (θ) + \sin^{2} (θ) - \sec (θ) \cos (θ)$ ?
230195	Simplify	(4-2n^4-8n^3)-(7n^3-6+2n^4)	$(4 - 2 n^{4} - 8 n^{3}) - (7 n^{3} - 6 + 2 n^{4})$
230196	Graph	x+y=0 -x+y=-8	$x + y = 0$ $- x + y = - 8$
230197	Simplify	(5^25^3)/(5^35^2)	$\frac{5^{2} \cdot 5^{3}}{5^{3} \cdot 5^{2}}$
230198	Simplify	(50m^3+5m^2+20m)÷10m	$(50 m^{3} + 5 m^{2} + 20 m) \div 10 m$
230199	Convert to Radical Form	1/(x^(-3/6))	$\frac{1}{x^{- \frac{3}{6}}}$
230200	Simplify	-4a-3/2(-1/2a+3)	$- 4 a - \frac{3}{2} (- \frac{1}{2} a + 3)$