Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
170801	Simplify	6/(x^2-4)+x/(x+2)	$\frac{6}{x^{2} - 4} + \frac{x}{x + 2}$
170802	Simplify	(s^2-1)/(s+1)-(s^2+1)/(s-1)	$\frac{s^{2} - 1}{s + 1} - \frac{s^{2} + 1}{s - 1}$
170803	Graph	f(x)=4+2x if x<0; x^2 if x>=0	$f (x) = {\begin{cases} 4 + 2 x & x < 0 \\ x^{2} & x \geq 0 \end{cases}$
170804	Find the Exact Value	square root of -5	$\sqrt{- 5}$
170805	Solve the Inequality for x	2.5-1.2x<6.5-3.2x	$2.5 - 1.2 x < 6.5 - 3.2 x$
170806	Simplify	(-2x)/(x^2-x-6)+4/(x^2-5x+6)	$\frac{- 2 x}{x^{2} - x - 6} + \frac{4}{x^{2} - 5 x + 6}$
170807	Solve for b	1/2b+3/5=1/4	$\frac{1}{2} b + \frac{3}{5} = \frac{1}{4}$
170808	Solve the Inequality for x	x/-3>3	$\frac{x}{- 3} > 3$
170809	Solve the Inequality for x	2x^2+4<4x	$2 x^{2} + 4 < 4 x$
170810	Solve for x	4x+11=k for x	$4 x + 11 = k$ for $x$
170811	Simplify	(6 cube root of x-6)( cube root of x+2)	$(6 \sqrt[3]{x} - 6) (\sqrt[3]{x} + 2)$
170812	Simplify	(x^-6)/(x^-2y^-2y^-5)	$\frac{x^{- 6}}{x^{- 2} y^{- 2} y^{- 5}}$
170813	Solve for a	-2/3-9/10a=-2/3	$- \frac{2}{3} - \frac{9}{10} a = - \frac{2}{3}$
170814	Write in y=mx+b Form	Ax+By=C	$A x + B y = C$
170815	Evaluate	1/( square root of 1-(( square root of 3)/2)^2)	$\frac{1}{\sqrt{1 - {(\frac{\sqrt{3}}{2})}^{2}}}$
170816	Solve for s	4/9-2/9s+1/9s=2/9-2/9s	$\frac{4}{9} - \frac{2}{9} s + \frac{1}{9} s = \frac{2}{9} - \frac{2}{9} s$
170817	Simplify	(3x)/4+x/7	$\frac{3 x}{4} + \frac{x}{7}$
170818	Solve for x	5x-3(x-3)=-6+6x-5	$5 x - 3 (x - 3) = - 6 + 6 x - 5$
170819	Simplify	((x-5)(x-8))/(x+1)*(x+1)/((x+5)(x-8))	$\frac{(x - 5) (x - 8)}{x + 1} \cdot \frac{x + 1}{(x + 5) (x - 8)}$
170820	Simplify	(8+ square root of 3)/( square root of 6)	$\frac{8 + \sqrt{3}}{\sqrt{6}}$
170821	Solve the Inequality for x	8>=3x-13	$8 \geq 3 x - 13$
170822	Solve for s	-5=-14s	$- 5 = - 14 s$
170823	Evaluate	square root of 1+1	$\sqrt{1} + 1$
170824	Solve for x	4x^2-12x+9=9	$4 x^{2} - 12 x + 9 = 9$
170825	Simplify	(4(v^-1s^-1)^-1)/(2v^10s^-1)	$\frac{4 {(v^{- 1} s^{- 1})}^{- 1}}{2 v^{10} s^{- 1}}$
170826	Find the Exact Value	sin(765 degrees )	$\sin (765 °)$
170827	Solve for v	-3(v+5)+2=4(v+2)	$- 3 (v + 5) + 2 = 4 (v + 2)$
170828	Simplify	2/( square root of 5- square root of 3)	$\frac{2}{\sqrt{5} - \sqrt{3}}$
170829	Simplify	((4x^-2j^3)^-3)/(3x^6j^-4)	$\frac{{(4 x^{- 2} j^{3})}^{- 3}}{3 x^{6} j^{- 4}}$
170830	Solve for x	3x=9x^2-10	$3 x = 9 x^{2} - 10$
170831	Solve for x	2/7=(6x)/(4x+17)	$\frac{2}{7} = \frac{6 x}{4 x + 17}$
170832	Simplify	(-9+8i)/(-3+9i)	$\frac{- 9 + 8 i}{- 3 + 9 i}$
170833	Find the x and y Intercepts	f(x)=(x^2+3x)/(x^2+x-6)	$f (x) = \frac{x^{2} + 3 x}{x^{2} + x - 6}$
170834	Solve the Inequality for x	log base x-3 of 36>2	$\log_{x - 3} (36) > 2$
170835	Factor	2x^2+x-1=0	$2 x^{2} + x - 1 = 0$
170836	Evaluate	(F+g)(5)	$(F + g) (5)$
170837	Evaluate	10--2	$10 - - 2$
170838	Solve for x	8+6x-5x+2+2x=12	$8 + 6 x - 5 x + 2 + 2 x = 12$
170839	Simplify	( cube root of 243u^10)/( cube root of 3u^2)	$\frac{\sqrt[3]{243 u^{10}}}{\sqrt[3]{3 u^{2}}}$
170840	Simplify	((c^-3d^-1)/(5c^7d^-4))^-2	${(\frac{c^{- 3} d^{- 1}}{5 c^{7} d^{- 4}})}^{- 2}$
170841	Solve for x	2x+4=xg ; for x	$2 x + 4 = x g$ ; for $x$
170842	Simplify	((-4r^7s^-1)^4)/(16rs^-5*6rs^-2)	$\frac{{(- 4 r^{7} s^{- 1})}^{4}}{16 r s^{- 5} \cdot 6 r s^{- 2}}$
170843	Combine Like Terms	-y^2+6y^2+3y^2+5y+4y+3-1	$- y^{2} + 6 y^{2} + 3 y^{2} + 5 y + 4 y + 3 - 1$
170844	Solve for x	3(2x-1)=-9x	$3 (2 x - 1) = - 9 x$
170845	Describe the Transformation	g(x)=f(x-3)	$g (x) = f (x - 3)$
170846	Evaluate	-6+(3-(4-2(4-7)))	$- 6 + (3 - (4 - 2 (4 - 7)))$
170847	Solve the Rational Equation for x	(2x^2)/4-x/6=3/2	$\frac{2 x^{2}}{4} - \frac{x}{6} = \frac{3}{2}$
170848	Solve for a	-3+5a=4a-10	$- 3 + 5 a = 4 a - 10$
170849	Solve Using the Quadratic Formula	8x^2+8=6-9x	$8 x^{2} + 8 = 6 - 9 x$
170850	Simplify	( square root of 3+1)/(1- square root of 3)	$\frac{\sqrt{3} + 1}{1 - \sqrt{3}}$
170851	Convert to a Decimal	-135deg	$- 135$ degrees
170852	Factor	22x^4yz^4+9z	$22 x^{4} y z^{4} + 9 z$
170853	Evaluate	e^(2x)-4e^x+3=0	$e^{2 x} - 4 e^{x} + 3 = 0$
170854	Evaluate	-6f(3)-6g(-1)	$- 6 \cdot f (3) - 6 \cdot g (- 1)$
170855	Solve for p	(p+1)/3=(p+1)/4	$\frac{p + 1}{3} = \frac{p + 1}{4}$
170856	Solve the Inequality for x	-2(x-2)<=x+1	$- 2 (x - 2) \leq x + 1$
170857	Graph	y<=-1/3x+3 y>=3x+2	$y \leq - \frac{1}{3} x + 3$ $y \geq 3 x + 2$
170858	Graph	-2<=x	$- 2 \leq x$
170859	Simplify	(6 square root of 16)( square root of -49)	$(6 \sqrt{16}) (\sqrt{- 49})$
170860	Convert to Interval Notation	x<0 or x>8	$x < 0$ or $x > 8$
170861	Solve for a	g=(1+2a)/a ; for a	$g = \frac{1 + 2 a}{a}$ ; for $a$
170862	Solve for x	5/(2x+6)-2=(1-8x)/(4x)	$\frac{5}{2 x + 6} - 2 = \frac{1 - 8 x}{4 x}$
170863	Factor	-32x^3z+4x^4yz^2	$- 32 x^{3} z + 4 x^{4} y z^{2}$
170864	Simplify	(x^4y^3y^4)/(x^6)	$\frac{x^{4} y^{3} y^{4}}{x^{6}}$
170865	Solve for w	48=lwh	$48 = l w h$
170866	Factor	-32x^3z+41x^4y	$- 32 x^{3} z + 41 x^{4} y$
170867	Simplify	x^2y(-xy)(-xy^2)	$x^{2} y \cdot (- x y) \cdot (- x y^{2})$
170868	Solve Using the Quadratic Formula	2x-x(2-x)=12	$2 x - x (2 - x) = 12$
170869	Solve the System of Equations	y=2x^2+3 y=2x-6	$y = 2 x^{2} + 3$ $y = 2 x - 6$
170870	Evaluate	tan(theta)=- square root of 3	$\tan (θ) = - \sqrt{3}$
170871	Simplify	(5x^3)/3+(9x^3)/3	$\frac{5 x^{3}}{3} + \frac{9 x^{3}}{3}$
170872	Solve the Inequality for x	(x^2+x-12)/(x-1)<=0	$\frac{x^{2} + x - 12}{x - 1} \leq 0$
170873	Find the Excluded Values	(x+4)/(-3x^2+12x+36)	$\frac{x + 4}{- 3 x^{2} + 12 x + 36}$
170874	Factor	15xy^3z^4-x^3y^6z^3	$15 x y^{3} z^{4} - x^{3} y^{6} z^{3}$
170875	Solve the Inequality for x	x(7-x)>8	$x (7 - x) > 8$
170876	Graph	f(x)=x if x<0; -x if x>=0	$f (x) = {\begin{cases} x & x < 0 \\ - x & x \geq 0 \end{cases}$
170877	Simplify	( square root of 3- square root of 2+ square root of 6)( square root of 6- square root of 3)	$(\sqrt{3} - \sqrt{2} + \sqrt{6}) (\sqrt{6} - \sqrt{3})$
170878	Solve for b	18+0.08b>=75	$18 + 0.08 b \geq 75$
170879	Multiply	3 5/82 1/24	$3 \frac{5}{8} \cdot 2 \frac{1}{2} \cdot 4$
170880	Evaluate	3^4-(2/5)^2*6	$3^{4} - {(\frac{2}{5})}^{2} \cdot 6$
170881	Solve the System of Equations	x+y=4 2x+2y=8	$x + y = 4$ $2 x + 2 y = 8$
170882	Solve for x	1/5(x-2)=1/10(x+6)	$\frac{1}{5} (x - 2) = \frac{1}{10} (x + 6)$
170883	Solve for h	2/9h-4=-2/3h+3+5/9h	$\frac{2}{9} h - 4 = - \frac{2}{3} h + 3 + \frac{5}{9} h$
170884	Solve the System of Equations	x-y=3 x+2y=6	$x - y = 3$ $x + 2 y = 6$
170885	Graph	f^-1(x)=x/2+1/2	$f^{- 1} (x) = \frac{x}{2} + \frac{1}{2}$
170886	Solve for x	x+1+4x=11+12x-3	$x + 1 + 4 x = 11 + 12 x - 3$
170887	Solve for u	4u+8v=-3u+2v	$4 u + 8 v = - 3 u + 2 v$
170888	Solve the Inequality for x	-5x>=30	$- 5 x \geq 30$
170889	Solve for x	x+x+x+x=4x	$x + x + x + x = 4 x$
170890	Find the Domain and Range	y=1/(2x)	$y = \frac{1}{2 x}$
170891	Solve the Inequality for x	-3(9x+20)>=15x-20	$- 3 (9 x + 20) \geq 15 x - 20$
170892	Simplify	7/(4x-1)-5/(4x-1)	$\frac{7}{4 x - 1} - \frac{5}{4 x - 1}$
170893	Evaluate	f(x) = square root of 0	$f (x) = \sqrt{0}$
170894	Solve the Absolute Value Inequality for x	\|x\|=11	$\| x \| = 11$
170895	Evaluate	-3(1/2)	$- 3 (\frac{1}{2})$
170896	Graph Using a Table of Values	g(x) = log base 3 of x	$g (x) = \log_{3} (x)$
170897	Find the Quotient	(2x^4-3x^3-3x^2+7x-3)÷(x^2-2x+1)	$(2 x^{4} - 3 x^{3} - 3 x^{2} + 7 x - 3) \div (x^{2} - 2 x + 1)$
170898	Simplify	x^2y^2 square root of 28x^6y^6	$x^{2} y^{2} \sqrt{28 x^{6} y^{6}}$
170899	Simplify	(- square root of -1)(- square root of -24)	$(- \sqrt{- 1}) (- \sqrt{- 24})$
170900	Evaluate	24-4^2*3+15	$24 - 4^{2} \cdot 3 + 15$