Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
19501	Solve for x	3(x-7)=2x	$3 (x - 7) = 2 x$
19502	Simplify	(-10-20x)/(10x+5)	$\frac{- 10 - 20 x}{10 x + 5}$
19503	Divide	(2 square root of 30-3 square root of 70)/( square root of 10)	$\frac{2 \sqrt{30} - 3 \sqrt{70}}{\sqrt{10}}$
19504	Solve the Absolute Value Inequality for x	\|x\|>-5	$\| x \| > - 5$
19505	Find the Maximum/Minimum Value	y=x^3+x^2-8x+5	$y = x^{3} + x^{2} - 8 x + 5$
19506	Solve for v	-2e^(7v+5)-10=-17	$- 2 e^{7 v + 5} - 10 = - 17$
19507	Find the Roots (Zeros)	8x^5-192x^4+1536x^3-4096x^2=0	$8 x^{5} - 192 x^{4} + 1536 x^{3} - 4096 x^{2} = 0$
19508	Evaluate the Integral	integral of 2x(x^2-3)(1/2) with respect to x	$\int 2 x (x^{2} - 3) (\frac{1}{2}) d x$
19509	Simplify	-8p(9p+2)+2(9-6p)	$- 8 p (9 p + 2) + 2 (9 - 6 p)$
19510	Solve the Inequality for a	3a<-16	$3 a < - 16$
19511	Simplify	( square root of 48)/( square root of 14)	$\frac{\sqrt{48}}{\sqrt{14}}$
19512	Simplify	(x-2)/(x^2+2x+4)-(6x)/(x^3-8)+1/(x-2)	$\frac{(x - 2)}{x^{2} + 2 x + 4} - \frac{6 x}{x^{3} - 8} + \frac{1}{x - 2}$
19513	Write with Rational (Fractional) Exponents	cube root of 5^5* square root of 5	$\sqrt[3]{5^{5}} \cdot \sqrt{5}$
19514	Simplify	((x^3+5x)/(x-2))÷((x^2+5)/(x^2-4))	$\frac{x^{3} + 5 x}{x - 2} \div \frac{x^{2} + 5}{x^{2} - 4}$
19515	Solve for q	-23=5/4q-13	$- 23 = \frac{5}{4} q - 13$
19516	Simplify	fourth root of 81x^12* square root of 144x^8	$\sqrt[4]{81 x^{12}} \cdot \sqrt{144 x^{8}}$
19517	Solve the System of Equations	x+y=4 and -9x+7y=-84	$x + y = 4$ and $- 9 x + 7 y = - 84$
19518	Solve by Substitution	4y-x=5+2y 3x+7y=24	$4 y - x = 5 + 2 y$ $3 x + 7 y = 24$
19519	Add	(3z+1)+(5+7z)	$(3 z + 1) + (5 + 7 z)$
19520	Graph	f(x)=-1/a(3x+2)(x-3)	$f (x) = - \frac{1}{a} (3 x + 2) (x - 3)$
19521	Find the Slope	Find the slope of the line passing through the points (-5,-2) and (3,-9)	Find the slope of the line passing through the points $(- 5, - 2)$ and $(3, - 9)$
19522	Add	4x^2-4x+10+2x^2+5x-8	$4 x^{2} - 4 x + 10 + 2 x^{2} + 5 x - 8$
19523	Evaluate	(h^2+9h-1)(-4h+3)	$(h^{2} + 9 h - 1) (- 4 h + 3)$
19524	Evaluate	3/4*16/9-(7/10)÷(7/20)	$\frac{3}{4} \cdot \frac{16}{9} - \frac{7}{10} \div \frac{7}{20}$
19525	Find All Complex Solutions	csc(x)^2-csc(x)-2=0	$\csc^{2} (x) - \csc (x) - 2 = 0$
19526	Simplify	(6+zi)(5+2i)-(6+zi)(1+2i)	$(6 + z i) (5 + 2 i) - (6 + z i) (1 + 2 i)$
19527	Graph	8x+4y=12 y=-2x+3	$8 x + 4 y = 12$ $y = - 2 x + 3$
19528	Solve for θ in Radians	square root of 3-tan(3theta)=0	$\sqrt{3} - \tan (3 θ) = 0$
19529	Solve for p	-4(-1+5p)=-12	$- 4 (- 1 + 5 p) = - 12$
19530	Find the Antiderivative	e^(ax)	$e^{a x}$
19531	Solve by Substitution	y=-3/2x 3x+2y=-4	$y = - \frac{3}{2} x$ $3 x + 2 y = - 4$
19532	Simplify	(2x-4)/(x^2-2)+(x+7)/(x^2-2)	$\frac{2 x - 4}{x^{2} - 2} + \frac{x + 7}{x^{2} - 2}$
19533	Simplify	(x+8)/(x+2)+(x-3)/4	$\frac{x + 8}{x + 2} + \frac{x - 3}{4}$
19534	Solve the Function Operation	f(x)=(x-9)^7 ; find f^-1(x)	$f (x) = {(x - 9)}^{7}$ ; find $f^{- 1} (x)$
19535	Solve for x	3/(6x)-9/12=11/(4x)	$\frac{3}{6 x} - \frac{9}{12} = \frac{11}{4 x}$
19536	Simplify	( cube root of 8)÷( square root of 6)	$\sqrt[3]{8} \div \sqrt{6}$
19537	Solve for c	2/(c^2-4c)=1/(3c)+1/3	$\frac{2}{c^{2} - 4 c} = \frac{1}{3 c} + \frac{1}{3}$
19538	Simplify	(x+3x^2y)/(3xy+1)	$\frac{x + 3 x^{2} y}{3 x y + 1}$
19539	Simplify	2 square root of 80- square root of 45-(4 square root of 30)÷2 square root of 6	$2 \sqrt{80} - \sqrt{45} - 4 \sqrt{30} \div 2 \sqrt{6}$
19540	Multiply	x^2(x-10)	$x^{2} (x - 10)$
19541	Simplify	5(4y+2x-8)+7-6y	$5 (4 y + 2 x - 8) + 7 - 6 y$
19542	Find the Second Term	a_n=2(4)^n	$a_{n} = 2 {(4)}^{n}$
19543	Find dy/dx	-5y+4x^3y+2x^2=0	$- 5 y + 4 x^{3} y + 2 x^{2} = 0$
19544	Simplify	12x^(-1/2)+7x^(1/2)+x^(3/2)	$12 x^{- \frac{1}{2}} + 7 x^{\frac{1}{2}} + x^{\frac{3}{2}}$
19545	Graph	{x\|x<4} intersect {x\|x>-2}	${x \| x < 4} \cap {x \| x > - 2}$
19546	Graph	P(x)=(x+3)(x+2)(x+1)	$P (x) = (x + 3) (x + 2) (x + 1)$
19547	Solve the Function Operation	f(x)=(x^7)/7 ; find f^-1(x)	$f (x) = \frac{x^{7}}{7}$ ; find $f^{- 1} (x)$
19548	Simplify	(2-x)/-2(3x)/(x^3-8x^2+12x)(x^2-5x-6)/(-x-1)	$\frac{2 - x}{- 2} \cdot \frac{3 x}{x^{3} - 8 x^{2} + 12 x} \cdot \frac{x^{2} - 5 x - 6}{- x - 1}$
19549	Subtract	-3x^2+5x-8 and -10x^2-x-3	$- 3 x^{2} + 5 x - 8$ and $- 10 x^{2} - x - 3$
19550	Simplify	1/(x^2-5x)+3/(x^2+2x-35)	$\frac{1}{x^{2} - 5 x} + \frac{3}{x^{2} + 2 x - 35}$
19551	Convert to a Decimal	7rev per s	$7$ revolutions per second
19552	Evaluate	10+2+4÷4(4-3)	$10 + 2 + 4 \div 4 (4 - 3)$
19553	Solve the Function Operation	f(x)=(x+4)^2-7 if x!=-1; 5 if x=-1 Find f(-1)	$f (x) = {\begin{cases} {(x + 4)}^{2} - 7 & x \neq - 1 \\ 5 & x = - 1 \end{cases}$ Find $f (- 1)$
19554	Solve the Inequality for x	y>x+2	$y > x + 2$
19555	Solve for k	2k=-3+7(k+4)	$2 k = - 3 + 7 (k + 4)$
19556	Solve for x	(x^2-1)/(x^2+1)<=0	$\frac{x^{2} - 1}{x^{2} + 1} \leq 0$
19557	Solve for x	9x+3(2x+4)=5(x+3)	$9 x + 3 (2 x + 4) = 5 (x + 3)$
19558	Multiply	(5x-10)/(x^2-36)*(4x+24)/(x^2+5x-14)	$\frac{5 x - 10}{x^{2} - 36} \cdot \frac{4 x + 24}{x^{2} + 5 x - 14}$
19559	Find the Excluded Values	(8ab^2x)/(4a^2b-8ab^2)	$\frac{8 a b^{2} x}{4 a^{2} b - 8 a b^{2}}$
19560	Find the Cube Roots of a Complex Number	-4-4i	$- 4 - 4 i$
19561	Simplify	4a^0+4a^-1	$4 a^{0} + 4 a^{- 1}$
19562	Find the Roots (Zeros)	f(x)=-x(3x-2)^2(x+9)^5	$f (x) = - x {(3 x - 2)}^{2} {(x + 9)}^{5}$
19563	Factor	8x^2+24x^3-32x^5	$8 x^{2} + 24 x^{3} - 32 x^{5}$
19564	Solve for x	f(2x-1)+f(x-2)=50	$f (2 x - 1) + f (x - 2) = 50$
19565	Factor	p(x)=x^5-4x^3-2x^2-4x	$p (x) = x^{5} - 4 x^{3} - 2 x^{2} - 4 x$
19566	Simplify	i(1+i)	$i (1 + i)$
19567	Evaluate	8 1/4÷d=2/11	$8 \frac{1}{4} \div d = \frac{2}{11}$
19568	Find the Exact Value	pi+pi/2	$π + \frac{π}{2}$
19569	Solve for q	-2q-3=-2(2q+1)	$- 2 q - 3 = - 2 (2 q + 1)$
19570	Simplify	(-x)/(x^2)	$\frac{- x}{x^{2}}$
19571	Solve for F	C=5/9*(F-32)	$C = \frac{5}{9} \times (F - 32)$
19572	Find the Domain	(y+3)/(y+2)*(y^2+4y+4)/(y^2-9)	$\frac{y + 3}{y + 2} \cdot \frac{y^{2} + 4 y + 4}{y^{2} - 9}$
19573	Simplify	(x^3-2x^2+4x+6)-(-4x+x^2-3)	$(x^{3} - 2 x^{2} + 4 x + 6) - (- 4 x + x^{2} - 3)$
19574	Solve for x	25^(1/2+2x) = square root of 5	$25^{\frac{1}{2} + 2 x} = \sqrt{5}$
19575	Solve for x	2/x+1/5=-3/(5x)	$\frac{2}{x} + \frac{1}{5} = \frac{- 3}{5 x}$
19576	Solve in Terms of the Arbitrary Variable a	2x+3y=3 ax+by=6	$2 x + 3 y = 3$ $a x + b y = 6$
19577	Solve for u	natural log of 4u+3=5	$\ln (4 u) + 3 = 5$
19578	Simplify	(x^2y)/((z^2)/((xy^2)/(z^2)))	$\frac{x^{2} y}{\frac{z^{2}}{\frac{x y^{2}}{z^{2}}}}$
19579	Convert to Rectangular Coordinates	(4 square root of 3,0)	$(4 \sqrt{3}, 0)$
19580	Solve the Function Operation	f(t)=2t-5 Find f(f(n/4))	$f (t) = 2 t - 5$ Find $f (f (\frac{n}{4}))$
19581	Solve for x	3(2x+1)=5(x-4)	$3 (2 x + 1) = 5 (x - 4)$
19582	Simplify	(-a+y)(-1-y)	$(- a + y) (- 1 - y)$
19583	Simplify	(x^2-6x-27)-(x-9)	$(x^{2} - 6 x - 27) - (x - 9)$
19584	Evaluate	-(8(9-10))/2	$- \frac{8 (9 - 10)}{2}$
19585	Find the Antiderivative	3x^2+sin(x)	$3 x^{2} + \sin (x)$
19586	Find dy/dx	2+y^2+3y=-x^2+2x^3	$2 + y^{2} + 3 y = - x^{2} + 2 x^{3}$
19587	Write in Standard Form	3x=-7+2y	$3 x = - 7 + 2 y$
19588	Solve for x	(3x+2)^2-49=0	${(3 x + 2)}^{2} - 49 = 0$
19589	Simplify	fourth root of j^11 cube root of j^11	$\sqrt[4]{j^{11}} \sqrt[3]{j^{11}}$
19590	Simplify	(5/6)^1.6	${(\frac{5}{6})}^{1.6}$
19591	Evaluate	(2(3)^2+4(3)-2)	$(2 {(3)}^{2} + 4 (3) - 2)$
19592	Solve for x	x^4=2-\|x\|	$x^{4} = 2 - \| x \|$
19593	Solve the Rational Equation for b	3 = square root of b-1	$3 = \sqrt{b - 1}$
19594	Simplify	(7u^-2v)/(4u^2v^-4)	$\frac{7 u^{- 2} v}{4 u^{2} v^{- 4}}$
19595	Factor	2x^3y-4x^2y^2+8xy-16y^2	$2 x^{3} y - 4 x^{2} y^{2} + 8 x y - 16 y^{2}$
19596	Write in Exponential Form	square root of 3^2	$\sqrt{3^{2}}$
19597	Solve the Function Operation	f(x)=(x-7)^(1/3) ; find f^-1(x)	$f (x) = {(x - 7)}^{\frac{1}{3}}$ ; find $f^{- 1} (x)$
19598	Divide	(-6x^2y^8+12xy^3-36xy^2)/(6xy^2)	$\frac{- 6 x^{2} y^{8} + 12 x y^{3} - 36 x y^{2}}{6 x y^{2}}$
19599	Simplify	3/(x-10)(x^2-100)/(2x)(x+7)/(x^3+17x^2+70x)	$\frac{3}{x - 10} \cdot \frac{x^{2} - 100}{2 x} \cdot \frac{x + 7}{x^{3} + 17 x^{2} + 70 x}$
19600	Graph	f(x) = cube root of x-1-1	$f (x) = \sqrt[3]{x - 1 - 1}$