Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
189501	Solve for x	5/(x+1)+1/(x-3)=-6/(x^2-2x-3)	$\frac{5}{x + 1} + \frac{1}{x - 3} = \frac{- 6}{x^{2} - 2 x - 3}$
189502	Solve for w	w-6=-4w-11	$w - 6 = - 4 w - 11$
189503	Determine if Perpendicular	y=-5x+1 x-5y=30	$y = - 5 x + 1$ $x - 5 y = 30$
189504	Find All Complex Solutions	x^3-7x^2+x-7=0	$x^{3} - 7 x^{2} + x - 7 = 0$
189505	Solve the Inequality for c	35+12c>=100	$35 + 12 c \geq 100$
189506	Solve for x	cube root of 6x^2+4x-5- cube root of 5x=0	$\sqrt[3]{6 x^{2} + 4 x - 5} - \sqrt[3]{5 x} = 0$
189507	Solve the Rational Equation for x	square root of 5-4x=x	$\sqrt{5 - 4 x} = x$
189508	Simplify	2+7c-4c^2-3c+4	$2 + 7 c - 4 c^{2} - 3 c + 4$
189509	Simplify	(-y^3z^5)/(y^2z^3)	$\frac{- y^{3} z^{5}}{y^{2} z^{3}}$
189510	Solve the Inequality for x	1/2x-2<=3x-3/2	$\frac{1}{2} x - 2 \leq 3 x - \frac{3}{2}$
189511	Solve by Substitution	x+y+z=6 x-y+2z=5 x-y-3z=-10	$x + y + z = 6$ $x - y + 2 z = 5$ $x - y - 3 z = - 10$
189512	Simplify	square root of (147m^5n^7)/(441z^6)	$\sqrt{\frac{147 m^{5} n^{7}}{441 z^{6}}}$
189513	Solve for x	(x+4)^2=2x(5x-1)-7(x-2)	${(x + 4)}^{2} = 2 x (5 x - 1) - 7 (x - 2)$
189514	Solve for x	x+1/x=17/4	$x + \frac{1}{x} = \frac{17}{4}$
189515	Simplify	(3x^2+x+1)-(2x^2-3x-5)	$(3 x^{2} + x + 1) - (2 x^{2} - 3 x - 5)$
189516	Graph	y=x^2 y=-2x+1	$y = x^{2}$ $y = - 2 x + 1$
189517	Find the Domain and Range	f(x)=(x+6)-2	$f (x) = (x + 6) - 2$
189518	Factor	8a^3bc-12ab^3cd+4b^4c^2d^2	$8 a^{3} b c - 12 a b^{3} c d + 4 b^{4} c^{2} d^{2}$
189519	Simplify	cube root of (x^3-1)+1	$\sqrt[3]{(x^{3} - 1) + 1}$
189520	Graph	(x^2+9x+20)/(x^2-x-20)>=0	$\frac{x^{2} + 9 x + 20}{x^{2} - x - 20} \geq 0$
189521	Solve the Rational Equation for x	square root of 2x+15=x+6	$\sqrt{2 x + 15} = x + 6$
189522	Identify the Zeros and Their Multiplicities	f(x)=x(5-x)(7-x)	$f (x) = x (5 - x) (7 - x)$
189523	Solve the Inequality for x	x/3>-1	$\frac{x}{3} > - 1$
189524	Solve for x	12x+8-15=-2(3x-82)	$12 x + 8 - 15 = - 2 (3 x - 82)$
189525	Solve for x	-3/4(2x+1)+4=1/4-7x	$- \frac{3}{4} (2 x + 1) + 4 = \frac{1}{4} - 7 x$
189526	Solve for x	ax-4=bx-2	$a x - 4 = b x - 2$
189527	Find the Exact Value	5÷2	$5 \div 2$
189528	Find the End Behavior	(x^2+1)/(x^2+2)	$\frac{x^{2} + 1}{x^{2} + 2}$
189529	Simplify	(16 square root of a^5-8 square root of a^3+2 square root of a)/(2 square root of a)	$\frac{16 \sqrt{a^{5}} - 8 \sqrt{a^{3}} + 2 \sqrt{a}}{2 \sqrt{a}}$
189530	Simplify	(7y^2+6xy)-(-2xy+3)	$(7 y^{2} + 6 x y) - (- 2 x y + 3)$
189531	Find the Exact Value	(4+((2-5)^2-4(7-5)^3+2(15/3))) square root of 16	$(4 + ({(2 - 5)}^{2} - 4 {(7 - 5)}^{3} + 2 (\frac{15}{3}))) \sqrt{16}$
189532	Solve the System of Equations	3x+y-z=3 -x+2y+z=0 -5x+2y+3z=-2	$3 x + y - z = 3$ $- x + 2 y + z = 0$ $- 5 x + 2 y + 3 z = - 2$
189533	Solve for h	h/-3+2=1	$\frac{h}{- 3} + 2 = 1$
189534	Solve for x	2/3\|3x-6\|=4(x-2)	$\frac{2}{3} \| 3 x - 6 \| = 4 (x - 2)$
189535	Simplify	(1/(a^2+7a+12)+1/(a^2+a-6))/(1/(a^2+2a-8)+1/(a^2+5a+4))	$\frac{\frac{1}{a^{2} + 7 a + 12} + \frac{1}{a^{2} + a - 6}}{\frac{1}{a^{2} + 2 a - 8} + \frac{1}{a^{2} + 5 a + 4}}$
189536	Graph	f(x)=2x+1,x<=-1; x^2-2,x>-1	$f (x) = {\begin{cases} 2 x + 1, x \leq - 1 \\ x^{2} - 2, x > - 1 \end{cases}$
189537	Evaluate	sin(theta)=-1	$\sin (θ) = - 1$
189538	Combine Like Terms	(5x-6)^2	${(5 x - 6)}^{2}$
189539	Graph	-1/2x+1/8y=3/4	$- \frac{1}{2} x + \frac{1}{8} y = \frac{3}{4}$
189540	Solve the Rational Equation for x	square root of 2x+19=x+8	$\sqrt{2 x + 19} = x + 8$
189541	Solve the Inequality for b	-22>-10+b	$- 22 > - 10 + b$
189542	Simplify	2/(a^2b^3)-1/(ab)	$\frac{2}{a^{2} b^{3}} - \frac{1}{a b}$
189543	Solve the Inequality for k	k+4-2(k-12)>0	$k + 4 - 2 (k - 12) > 0$
189544	Solve for x	3x(x-3)+5(x+7)-x(x+1)-2(x^2+7)+4=0	$3 x (x - 3) + 5 (x + 7) - x (x + 1) - 2 (x^{2} + 7) + 4 = 0$
189545	Simplify	(2d^7)(-4d^9d^5)	$(2 d^{7}) (- 4 d^{9} d^{5})$
189546	Solve the Absolute Value Inequality for x	5\|x+9\|<=10	$5 \| x + 9 \| \leq 10$
189547	Find the Inverse	f(x)=(x^(1/3)-1)/9	$f (x) = \frac{x^{\frac{1}{3}} - 1}{9}$
189548	Solve the Inequality for x	(x+6)(1-x)(x-4)<=0	$(x + 6) (1 - x) (x - 4) \leq 0$
189549	Divide	10÷(4/5)	$10 \div \frac{4}{5}$
189550	Simplify	3/(4x^2)-x/(2x^2+10x)	$\frac{3}{4 x^{2}} - \frac{x}{2 x^{2} + 10 x}$
189551	Solve for w	w^2-9=0	$w^{2} - 9 = 0$
189552	Simplify	(2x^2+x)/(2x-2)+(x-4)/(2x-2)	$\frac{2 x^{2} + x}{2 x - 2} + \frac{x - 4}{2 x - 2}$
189553	Simplify	-2x^2 square root of 7+2x square root of 112x^2	$- 2 x^{2} \sqrt{7} + 2 x \sqrt{112 x^{2}}$
189554	Solve the Inequality for x	-2-3x>=2	$- 2 - 3 x \geq 2$
189555	Solve the Inequality for x	5(x-3)<2(3x-1)	$5 (x - 3) < 2 (3 x - 1)$
189556	Simplify	- square root of 150x^5+x square root of 6x^3	$- \sqrt{150 x^{5}} + x \sqrt{6 x^{3}}$
189557	Solve the Inequality for x	2x-3>=4x-1	$2 x - 3 \geq 4 x - 1$
189558	Simplify	5 cube root of 32x^3y^4-3xy cube root of 4y	$5 \sqrt[3]{32 x^{3} y^{4}} - 3 x y \sqrt[3]{4 y}$
189559	Solve the Absolute Value Inequality for x	2(\|x+4\|+3)=6	$2 (\| x + 4 \| + 3) = 6$
189560	Simplify	(-2y^4)*(xy^3)^2-13x^2y^10	$(- 2 y^{4}) \cdot {(x y^{3})}^{2} - 13 x^{2} y^{10}$
189561	Find the x and y Intercepts	f(x)=-4x^2+x^5+10x^3+5x+8x^4	$f (x) = - 4 x^{2} + x^{5} + 10 x^{3} + 5 x + 8 x^{4}$
189562	Solve by Addition/Elimination	-16y=22+6x -11y-4x=15	$- 16 y = 22 + 6 x$ $- 11 y - 4 x = 15$
189563	Write Using Positive Exponents	(xy^-6)/(x^-4y^2)	$\frac{x y^{- 6}}{x^{- 4} y^{2}}$
189564	Solve the Inequality for x	6<=x-2<14	$6 \leq x - 2 < 14$
189565	Solve for x	4-(2x)/3=x+2/3	$4 - \frac{2 x}{3} = x + \frac{2}{3}$
189566	Solve for h	-2/3h=-22	$- \frac{2}{3} h = - 22$
189567	Write in Standard Form	3(x+1)(x+3)(x-4)	$3 (x + 1) (x + 3) (x - 4)$
189568	Evaluate	-3\|-2\|+6	$- 3 \| - 2 \| + 6$
189569	Solve the Inequality for x	\|x-9\|>=4	$\| x - 9 \| \geq 4$
189570	Solve for a	-41=-13+4/3a	$- 41 = - 13 + \frac{4}{3} a$
189571	Solve the System of Equations	y=x^2-9x+1 y=x+1	$y = x^{2} - 9 x + 1$ $y = x + 1$
189572	Find the Distance Between Two Points	(0,-6) and (7,1)	$(0, - 6)$ and $(7, 1)$
189573	Solve for x	4-7/10x=1/5x-11	$4 - \frac{7}{10} x = \frac{1}{5} x - 11$
189574	Simplify	2x^2+30+3x^2+4x^2+14+x	$2 x^{2} + 30 + 3 x^{2} + 4 x^{2} + 14 + x$
189575	Solve for x	2+3(x+2x)=-2x(2-4)+1	$2 + 3 (x + 2 x) = - 2 x (2 - 4) + 1$
189576	Solve by Factoring	x^2-5x+6<0	$x^{2} - 5 x + 6 < 0$
189577	Find the Quotient	((6u^11v^6)(11u^5v))/(-44u^11v^12)	$\frac{(6 u^{11} v^{6}) (11 u^{5} v)}{- 44 u^{11} v^{12}}$
189578	Simplify	-8/(15g^2)+-7/(20g)	$\frac{- 8}{15 g^{2}} + \frac{- 7}{20 g}$
189579	Evaluate	2pi*2pi	$2 π \cdot 2 π$
189580	Solve for x	x^4-6x^2+12=7	$x^{4} - 6 x^{2} + 12 = 7$
189581	Write in Standard Form	y=-2x-2/7	$y = - 2 x - \frac{2}{7}$
189582	Find the Excluded Values	((32x^3y)/(y^8))÷((y^7)/(8x^4))	$\frac{32 x^{3} y}{y^{8}} \div \frac{y^{7}}{8 x^{4}}$
189583	Evaluate	2sec(0)^2	$2 \sec^{2} (0)$
189584	Write in Standard Form	( square root of -10)^2	${(\sqrt{- 10})}^{2}$
189585	Find the Domain and Range	y=(x^2)/2	$y = \frac{x^{2}}{2}$
189586	Solve the Inequality for x	x^2+9<6x	$x^{2} + 9 < 6 x$
189587	Solve for x	5(3*2x)=10x-4	$5 (3 \cdot 2 x) = 10 x - 4$
189588	Evaluate	log base x of 16=2	$\log_{x} (16) = 2$
189589	Write the Fraction in Simplest Form	1/3+1/6	$\frac{1}{3} + \frac{1}{6}$
189590	Combine Like Terms	-4(8-c)-(3c+7)	$- 4 (8 - c) - (3 c + 7)$
189591	Solve for x	x/(x+6)+2/(x+7)=(3x+7)/(x^2+13x+42)	$\frac{x}{x + 6} + \frac{2}{x + 7} = \frac{3 x + 7}{x^{2} + 13 x + 42}$
189592	Solve the System of Equations	x-y+2z=1 -x-2y-z=3 -3x-3y-4z=5	$x - y + 2 z = 1$ $- x - 2 y - z = 3$ $- 3 x - 3 y - 4 z = 5$
189593	Solve for y	8x-4y=16 for y	$8 x - 4 y = 16$ for $y$
189594	Simplify	-3+2i-2*24-8i	$- 3 + 2 i - 2 \cdot 24 - 8 i$
189595	Divide Using Synthetic Division	(8v^5+32v^4+5v+20)÷(v+4)	$(8 v^{5} + 32 v^{4} + 5 v + 20) \div (v + 4)$
189596	Find the Holes in the Graph	f(x)=(x+5)/(x^2-25)	$f (x) = \frac{x + 5}{x^{2} - 25}$
189597	Find the x and y Intercepts	f(x)=(x+2)(x+4)(2x+10)	$f (x) = (x + 2) (x + 4) (2 x + 10)$
189598	Solve the Inequality for x	x/-2>=5	$\frac{x}{- 2} \geq 5$
189599	Solve for y	(-4)^2+3=2(-4)+y	${(- 4)}^{2} + 3 = 2 (- 4) + y$
189600	Find the Holes in the Graph	(5x^2)/(3x^2+7x)	$\frac{5 x^{2}}{3 x^{2} + 7 x}$