Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
167101	Divide	1/2+3/4	$\frac{1}{2} + \frac{3}{4}$
167102	Find All Complex Solutions	4sin(x)^2=5-4cos(x)	$4 \sin^{2} (x) = 5 - 4 \cos (x)$
167103	Solve the Absolute Value Inequality for x	\|x+7\|<=8	$\| x + 7 \| \leq 8$
167104	Solve for x	7/8=1/4-1/9x	$\frac{7}{8} = \frac{1}{4} - \frac{1}{9} x$
167105	Solve for p	2p+5r=q for p	$2 p + 5 r = q$ for $p$
167106	Evaluate	4+8(1/4+2)	$4 + 8 (\frac{1}{4} + 2)$
167107	Solve the Inequality for k	2(k+4)-3k<=14	$2 (k + 4) - 3 k \leq 14$
167108	Solve the Inequality for b	-2(b+1)+4<10	$- 2 (b + 1) + 4 < 10$
167109	Solve the System of Equations	y=2x^2-4 and y=4	$y = 2 x^{2} - 4$ and $y = 4$
167110	Solve for x	81^5=3^x	$81^{5} = 3^{x}$
167111	Evaluate Using the Given Value	8j-k+14 when j=0.25 and k=1	$8 j - k + 14$ when $j = 0.25$ and $k = 1$
167112	Subtract	a/(a-b)-b/(a-b)	$\frac{a}{a - b} - \frac{b}{a - b}$
167113	Divide	(2x^3+5x^2+9)÷(x+3)	$(2 x^{3} + 5 x^{2} + 9) \div (x + 3)$
167114	Simplify	(1- square root of 3)/(1+ square root of 3)	$\frac{1 - \sqrt{3}}{1 + \sqrt{3}}$
167115	Solve the Inequality for x	\|x\|<=4	$\| x \| \leq 4$
167116	Simplify	(8x+5)/6+(-7x+7)/6	$\frac{8 x + 5}{6} + \frac{- 7 x + 7}{6}$
167117	Solve the System of Inequalities	32<=3x+2 or 38>=3x+2	$32 \leq 3 x + 2$ or $38 \geq 3 x + 2$
167118	Solve by Graphing	2x+y=5 and x-3y=-8	$2 x + y = 5$ and $x - 3 y = - 8$
167119	Combine Like Terms	3y+6+2y-3-6y^2+7y^2-4	$3 y + 6 + 2 y - 3 - 6 y^{2} + 7 y^{2} - 4$
167120	Solve for x	4x-1=3(x-1)	$4 x - 1 = 3 (x - 1)$
167121	Solve for x	54-10x<=20+7x	$54 - 10 x \leq 20 + 7 x$
167122	Solve for x	5^(3x) = cube root of 25	$5^{3 x} = \sqrt[3]{25}$
167123	Factor	(x^2-1)/(x-1)	$\frac{x^{2} - 1}{x - 1}$
167124	Graph Using a Table of Values	f(x)=-(5/8)^(-x)	$f (x) = - {(\frac{5}{8})}^{- x}$
167125	Find All Complex Solutions	cot(x)^2-1=0	$\cot^{2} (x) - 1 = 0$
167126	Solve for x	(x+5)^(3/2)=(x-1)^3	${(x + 5)}^{\frac{3}{2}} = {(x - 1)}^{3}$
167127	Solve for x	9((15x)/4-2)=15x-21/2	$9 (\frac{15 x}{4} - 2) = 15 x - \frac{21}{2}$
167128	Factor	-36x+13x^3-x^5	$- 36 x + 13 x^{3} - x^{5}$
167129	Subtract	6/12-3/10	$\frac{6}{12} - \frac{3}{10}$
167130	Solve for d	q=4(a+d)	$q = 4 (a + d)$
167131	Simplify	-2x^3+2x^2-3x+x^2+4-x-3x^2	$- 2 x^{3} + 2 x^{2} - 3 x + x^{2} + 4 - x - 3 x^{2}$
167132	Find the LCD	(2x)/(x^2+4x+3) and 3/(x^2+10x+21)	$\frac{2 x}{x^{2} + 4 x + 3}$ and $\frac{3}{x^{2} + 10 x + 21}$
167133	Solve the Inequality for x	2<4x+10<=14	$2 < 4 x + 10 \leq 14$
167134	Find the Exact Value	cos(2*(3pi)/4)	$\cos (2 \cdot \frac{3 π}{4})$
167135	Graph Using a Table of Values	y=-x^2+1	$y = - x^{2} + 1$
167136	Find the Roots (Zeros)	f(x)=-1/5x^2-10	$f (x) = - \frac{1}{5} x^{2} - 10$
167137	Solve the Absolute Value Inequality for t	\|6t-7\|-8>=3	$\| 6 t - 7 \| - 8 \geq 3$
167138	Find the Holes in the Graph	f(x)=(3x^2-9x+6)/(5x-10)	$f (x) = \frac{3 x^{2} - 9 x + 6}{5 x - 10}$
167139	Solve for x	\|2x+9\|=x	$\| 2 x + 9 \| = x$
167140	Solve for n	n^2-2n=0	$n^{2} - 2 n = 0$
167141	Find the LCM	9 and 12	$9$ and $12$
167142	Solve for a	-a/0.5+3.9=-1.3	$- \frac{a}{0.5} + 3.9 = - 1.3$
167143	Solve for x	x^3-4x=2^x	$x^{3} - 4 x = 2^{x}$
167144	Solve for z	5/6z=-1+3/2z-1/2z	$\frac{5}{6} z = - 1 + \frac{3}{2} z - \frac{1}{2} z$
167145	Graph	f(x)=3^x and g(x) = log base 3 of x	$f (x) = 3^{x}$ and $g (x) = \log_{3} (x)$
167146	Simplify	(8x^2y+9m^3)^2	${(8 x^{2} y + 9 m^{3})}^{2}$
167147	Graph	y>=1/2x+2 y>=-2x-3	$y \geq \frac{1}{2} x + 2$ $y \geq - 2 x - 3$
167148	Rationalize the Denominator	( square root of 15)/( square root of 5)	$\frac{\sqrt{15}}{\sqrt{5}}$
167149	Evaluate	(a^-2*8^7)^2	${(a^{- 2} \cdot 8^{7})}^{2}$
167150	Solve for v	v^2=u^2+2 as	$v^{2} = u^{2} + 2$ as
167151	Solve for a	-3/8=3/4a+1/2	$- \frac{3}{8} = \frac{3}{4} a + \frac{1}{2}$
167152	Solve for x	64^5=1024^(x-5)	$64^{5} = 1024^{x - 5}$
167153	Solve for x	-5/6x-1/9x=-102	$- \frac{5}{6} x - \frac{1}{9} x = - 102$
167154	Solve for x	9+5\|8+4x\|=59	$9 + 5 \| 8 + 4 x \| = 59$
167155	Simplify	-3i*6i-3(-7+6i)	$- 3 i \cdot 6 i - 3 (- 7 + 6 i)$
167156	Solve for u	y=3/(5u)+5	$y = \frac{3}{5 u} + 5$
167157	Solve the Inequality for x	x/3<4x+11	$\frac{x}{3} < 4 x + 11$
167158	Graph Using a Table of Values	f(x)=-(4/5)^x	$f (x) = - {(\frac{4}{5})}^{x}$
167159	Solve the Inequality for x	x^2-3x>=0	$x^{2} - 3 x \geq 0$
167160	Solve for x	-5-1/(x+7)=-(4x)/(x+7)	$- 5 - \frac{1}{x + 7} = - \frac{4 x}{x + 7}$
167161	Find the Sum and Product of the Roots of the Quadratic Equation	x^2-2x-8=0	$x^{2} - 2 x - 8 = 0$
167162	Graph	f(x)=(x^2-4x+4)/(x^3-4x^2)	$f (x) = \frac{x^{2} - 4 x + 4}{x^{3} - 4 x^{2}}$
167163	Graph Using a Table of Values	y=2x^2+1	$y = 2 x^{2} + 1$
167164	Combine Like Terms	2-4y^3+5y^3+y^3+2+5x^3+2	$2 - 4 y^{3} + 5 y^{3} + y^{3} + 2 + 5 x^{3} + 2$
167165	Simplify	fourth root of 4^3	$\sqrt[4]{4^{3}}$
167166	Solve for t	3+5/6t=2t+3-1/3t	$3 + \frac{5}{6} t = 2 t + 3 - \frac{1}{3} t$
167167	Evaluate	log base 1/2 of 1/8	$\log_{\frac{1}{2}} (\frac{1}{8})$
167168	Evaluate	-1/infinity	$- \frac{1}{\infty}$
167169	Graph	f(x)=- log base 2/5 of x	$f (x) = - \log_{\frac{2}{5}} (x)$
167170	Solve the Inequality for x	-7+4x>-11	$- 7 + 4 x > - 11$
167171	Factor	-16x^5y^4-47x^4yz^3	$- 16 x^{5} y^{4} - 47 x^{4} y z^{3}$
167172	Solve the Inequality for x	2x>=8	$2 x \geq 8$
167173	Evaluate	2pi*1/2	$2 π \cdot \frac{1}{2}$
167174	Write in Standard Form	3+x=1/2y	$3 + x = \frac{1}{2} y$
167175	Solve Using the Quadratic Formula	2(x-5)^2=32	$2 {(x - 5)}^{2} = 32$
167176	Solve the Inequality for x	2x<=7	$2 x \leq 7$
167177	Solve the Absolute Value Inequality for x	\|2x-9\|=x	$\| 2 x - 9 \| = x$
167178	Factor	-2h^4+16h^3+10h^2-80h	$- 2 h^{4} + 16 h^{3} + 10 h^{2} - 80 h$
167179	Solve the Inequality for x	x^2+5x+4>=0	$x^{2} + 5 x + 4 \geq 0$
167180	Solve the Inequality for x	4-3(1-x)<=3	$4 - 3 (1 - x) \leq 3$
167181	Solve the Inequality for x	-4(x+3)<=-2-2x	$- 4 (x + 3) \leq - 2 - 2 x$
167182	Factor	(x^2-9)/(x-3)	$\frac{x^{2} - 9}{x - 3}$
167183	Solve for x	square root of 4x+1 = square root of x+10	$\sqrt{4 x + 1} = \sqrt{x + 10}$
167184	Solve for x	(2/3)^(5x+2)=(3/2)^(2x)	${(\frac{2}{3})}^{5 x + 2} = {(\frac{3}{2})}^{2 x}$
167185	Evaluate	log base 2 of x=5	$\log_{2} (x) = 5$
167186	Evaluate	1/2(3)(3)	$\frac{1}{2} (3) (3)$
167187	Find the Exact Value	square root of 1/2	$\sqrt{\frac{1}{2}}$
167188	Solve the Absolute Value Inequality for n	5-8\|-2n\|=-75	$5 - 8 \| - 2 n \| = - 75$
167189	Graph	y=3x-4 y=-1/2x+3	$y = 3 x - 4$ $y = - \frac{1}{2} x + 3$
167190	Factor by Grouping	x^4-5x^2+4	$x^{4} - 5 x^{2} + 4$
167191	Divide	(8a^8-20a^6+2a^4)/(4a^3)	$\frac{8 a^{8} - 20 a^{6} + 2 a^{4}}{4 a^{3}}$
167192	Graph	f^-1(x)=x/2-3/2	$f^{- 1} (x) = \frac{x}{2} - \frac{3}{2}$
167193	Find the Excluded Values	a/(b-2)	$\frac{a}{b - 2}$
167194	Combine Like Terms	y+6-2-4y^3-5y+2y^3-2y^3	$y + 6 - 2 - 4 y^{3} - 5 y + 2 y^{3} - 2 y^{3}$
167195	Solve the Inequality for s	-5s-(-6s-10)<5s+9+5s	$- 5 s - (- 6 s - 10) < 5 s + 9 + 5 s$
167196	Solve for a	-a/0.4+1.5=2.75	$- \frac{a}{0.4} + 1.5 = 2.75$
167197	Solve for x	-16+5x=-7(-6+8x)+3	$- 16 + 5 x = - 7 (- 6 + 8 x) + 3$
167198	Solve for x	6x-21=5x+17+x	$6 x - 21 = 5 x + 17 + x$
167199	Find the Holes in the Graph	f(x)=(-2x-8)/(4x-12)	$f (x) = \frac{- 2 x - 8}{4 x - 12}$
167200	Solve for g	u = square root of Ng+Q^3	$u = \sqrt{N g + Q^{3}}$