Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
193801	Simplify	m/6-m/5	$\frac{m}{6} - \frac{m}{5}$
193802	Solve for x	(1-a)x=a-1	$(1 - a) x = a - 1$
193803	Simplify	(5x^2+x-4)(x+2)	$(5 x^{2} + x - 4) (x + 2)$
193804	Divide	3÷4 1/2	$3 \div 4 \frac{1}{2}$
193805	Simplify	(5x)^2+(5x^2-5)^2	${(5 x)}^{2} + {(5 x^{2} - 5)}^{2}$
193806	Find the Equation Using Point-Slope Formula	(6,4) and (7,2)	$(6, 4)$ and $(7, 2)$
193807	Solve for x	25-(3x+5)=2(x+8)+x	$25 - (3 x + 5) = 2 (x + 8) + x$
193808	Solve for F	F(t)=2*1/(2^(3t))	$F (t) = 2 \cdot \frac{1}{2^{3 t}}$
193809	Solve for x	2-(x+4)/2=11	$2 - \frac{x + 4}{2} = 11$
193810	Solve the Inequality for y	y+y/2>3	$y + \frac{y}{2} > 3$
193811	Solve for x	3-x/(x-4)=4/(4-x)	$3 - \frac{x}{x - 4} = \frac{4}{4 - x}$
193812	Solve for x	7(x+4)=3x+12+x-5	$7 (x + 4) = 3 x + 12 + x - 5$
193813	Solve for x	x+1>=0	$x + 1 \geq 0$
193814	Find the Exact Value	sin(arccos(x/2))	$\sin (\arccos (\frac{x}{2}))$
193815	Graph	y+5=-1/2(x-3)^2	$y + 5 = - \frac{1}{2} {(x - 3)}^{2}$
193816	Find All Complex Solutions	sec(x)^2+tan(x)=1	$\sec^{2} (x) + \tan (x) = 1$
193817	Solve for x	square root of x-4+x=6	$\sqrt{x - 4} + x = 6$
193818	Graph	S(x)=3/2x^6-3x^4	$S (x) = \frac{3}{2} x^{6} - 3 x^{4}$
193819	Divide	(3p^6Q+14p^3Q-4p^3Q^2)/(-7P^3Q)	$\frac{3 p^{6} Q + 14 p^{3} Q - 4 p^{3} Q^{2}}{- 7 P^{3} Q}$
193820	Solve for x	log base x+2 of 9x=2	$\log_{x + 2} (9 x) = 2$
193821	Solve the Inequality for x	x^3+x^2+64x+64<0	$x^{3} + x^{2} + 64 x + 64 < 0$
193822	Find the Inverse	y=x^2+9 , x>=0	$y = x^{2} + 9$ , $x \geq 0$
193823	Simplify	-1/6(24x-60)+2x	$- \frac{1}{6} (24 x - 60) + 2 x$
193824	Solve for x	(x+b)/4=c	$\frac{x + b}{4} = c$
193825	Simplify	(x+1/x+1)/(x+1/x+2)	$\frac{x + \frac{1}{x} + 1}{x + \frac{1}{x} + 2}$
193826	Simplify	(x^2-y^2)/((x-y)^2)+(2y)/(y-x)	$\frac{x^{2} - y^{2}}{{(x - y)}^{2}} + \frac{2 y}{y - x}$
193827	Solve for r	g(r)=-1-7r	$g (r) = - 1 - 7 r$
193828	Solve the Inequality for m	3m-8>4	$3 m - 8 > 4$
193829	Solve the Inequality for c	c-12>-1	$c - 12 > - 1$
193830	Solve for x	3(2x+4)=2+6x+10	$3 (2 x + 4) = 2 + 6 x + 10$
193831	Evaluate	2sin(0)^2	$2 \sin^{2} (0)$
193832	Solve for x	1/2-(7x-4)=-1/2(-x-6)	$\frac{1}{2} - (7 x - 4) = - \frac{1}{2} (- x - 6)$
193833	Solve for q	6q-q-2q-1=29	$6 q - q - 2 q - 1 = 29$
193834	Graph	y=x^3-3,x>2; x^2+6,x<=2	$y = {\begin{cases} x^{3} - 3, x > 2 \\ x^{2} + 6, x \leq 2 \end{cases}$
193835	Evaluate Using the Given Value	5c-3d+11 when c=7 and d=8	$5 c - 3 d + 11$ when $c = 7$ and $d = 8$
193836	Find the Equation Given the Roots	1-2i and 1+2i	$1 - 2 i$ and $1 + 2 i$
193837	Solve for x	-(-5/4x+3)-3x=-7(-1/4x+2)	$- (- \frac{5}{4} x + 3) - 3 x = - 7 (- \frac{1}{4} x + 2)$
193838	Describe the Transformation	f(3x)	$f (3 x)$
193839	Factor	y=x^3+x^2-12x	$y = x^{3} + x^{2} - 12 x$
193840	Solve for r	P=r+s-1	$P = r + s - 1$
193841	Combine Like Terms	(-6x^2-x)-(-4x^2+10x-1)	$(- 6 x^{2} - x) - (- 4 x^{2} + 10 x - 1)$
193842	Write with Rational (Fractional) Exponents	fifth root of x^3+ fifth root of 2x	$\sqrt[5]{x^{3}} + \sqrt[5]{2 x}$
193843	Evaluate Using the Given Value	z(x+y) ; use x=6 , y=8 ; and z=6	$z (x + y)$ ; use $x = 6$ , $y = 8$ ; and $z = 6$
193844	Multiply	(2 square root of 3)^2	${(2 \sqrt{3})}^{2}$
193845	Simplify	(n-5)/35-(n-10)/105	$\frac{n - 5}{35} - \frac{n - 10}{105}$
193846	Simplify	square root of (xy^2)/(16y^5)	$\sqrt{\frac{x y^{2}}{16 y^{5}}}$
193847	Solve for x	(x^2)^x=x^(4x-x^2)	${(x^{2})}^{x} = x^{4 x - x^{2}}$
193848	Simplify	((x^2-9)/(x+1))÷((x^2-6x+9)/(7x+7))	$\frac{x^{2} - 9}{x + 1} \div \frac{x^{2} - 6 x + 9}{7 x + 7}$
193849	Evaluate	\|8\|-\|4\|+\|-1\|	$\| 8 \| - \| 4 \| + \| - 1 \|$
193850	Solve the Inequality for x	5\|x-2\|-2>58	$5 \| x - 2 \| - 2 > 58$
193851	Simplify	(-9n^4+8)-(-9n^4+2n^3+5n^2)	$(- 9 n^{4} + 8) - (- 9 n^{4} + 2 n^{3} + 5 n^{2})$
193852	Solve for x	2x(x-3)(64x^2-25)=0	$2 x (x - 3) (64 x^{2} - 25) = 0$
193853	Solve for c	p=(r-c)/n	$p = \frac{r - c}{n}$
193854	Divide	(x^5+2x^3-x-8)/(x^2-2x+1)	$\frac{x^{5} + 2 x^{3} - x - 8}{x^{2} - 2 x + 1}$
193855	Simplify the Radical Expression	(4^9)/(4^3)	$\frac{4^{9}}{4^{3}}$
193856	Solve for x	1/x=1	$\frac{1}{x} = 1$
193857	Graph	0 , 2pi	$0$ , $2 π$
193858	Solve for z	6z-7>8z+2	$6 z - 7 > 8 z + 2$
193859	Multiply	((a-1)^2)/30*6/(a-1)	$\frac{{(a - 1)}^{2}}{30} \cdot \frac{6}{(a - 1)}$
193860	Solve for x	(x+3)/(x-5)+(2x)/(x-8)=(2x)/(x-8)	$\frac{x + 3}{x - 5} + \frac{2 x}{x - 8} = \frac{2 x}{x - 8}$
193861	Combine Like Terms	-2x-8-7x+2	$- 2 x - 8 - 7 x + 2$
193862	Find f(g(x))	f(x)=4x+1 , g(x)=x^2-5	$f (x) = 4 x + 1$ , $g (x) = x^{2} - 5$
193863	Solve for x	4/(x+1)+6/(x-2)=-2/(x^2-x-2)	$\frac{4}{x + 1} + \frac{6}{x - 2} = - \frac{2}{x^{2} - x - 2}$
193864	Divide Using Synthetic Division	(4x^3-9x+8x^2-18)÷(x+2)	$(4 x^{3} - 9 x + 8 x^{2} - 18) \div (x + 2)$
193865	Simplify	(3x^2+2x-5)+(7-3x+4x^2)	$(3 x^{2} + 2 x - 5) + (7 - 3 x + 4 x^{2})$
193866	Graph	f(x) = square root of -2x	$f (x) = \sqrt{- 2 x}$
193867	Multiply	1/21/21/21/21/21/21/21/21/2*1/2	$\frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2}$
193868	Graph	1/5x^5-2x^3+9/5x	$\frac{1}{5} x^{5} - 2 x^{3} + \frac{9}{5} x$
193869	Solve for x	square root of x^2+4-1=2	$\sqrt{x^{2} + 4} - 1 = 2$
193870	Solve for x	-3(-3x-3/2)+9x=-(-x+6)-5/2x	$- 3 (- 3 x - \frac{3}{2}) + 9 x = - (- x + 6) - \frac{5}{2} x$
193871	Evaluate	2^(2^(2^2))	$2^{2^{2^{2}}}$
193872	Factor by Grouping	42p^4+9p^3q^2-18p^2q^2	$42 p^{4} + 9 p^{3} q^{2} - 18 p^{2} q^{2}$
193873	Evaluate	(10^2)/(5^1)	$\frac{10^{2}}{5^{1}}$
193874	Convert to Interval Notation	8>3	$8 > 3$
193875	Find the Discriminant	2x^2=24	$2 x^{2} = 24$
193876	Find the End Behavior	f(x)=-45x^5-2736x+288x^2+864x^3-9x^6-2880+144x^4	$f (x) = - 45 x^{5} - 2736 x + 288 x^{2} + 864 x^{3} - 9 x^{6} - 2880 + 144 x^{4}$
193877	Simplify	(f^-5g^4)/(h^-2)	$\frac{f^{- 5} g^{4}}{h^{- 2}}$
193878	Simplify	( cube root of 5)^4	${(\sqrt[3]{5})}^{4}$
193879	Graph	f(-x)+1	$f (- x) + 1$
193880	Solve the Absolute Value Inequality for x	2\|x-2\|-12=0	$2 \| x - 2 \| - 12 = 0$
193881	Find the Axis of Symmetry	3y^2+8x+24y+40=0	$3 y^{2} + 8 x + 24 y + 40 = 0$
193882	Solve the System of Equations	7x+2y=-8 8y=4x	$7 x + 2 y = - 8$ $8 y = 4 x$
193883	Solve for n	n-3/5=2/5	$n - \frac{3}{5} = \frac{2}{5}$
193884	Convert to a Simplified Fraction	((4^3)/(5^-2))^5	${(\frac{4^{3}}{5^{- 2}})}^{5}$
193885	Solve for t	2=(1+0.065/12)^(12t)	$2 = {(1 + \frac{0.065}{12})}^{12 t}$
193886	Solve the Inequality for x	-5x-12>-6x-4	$- 5 x - 12 > - 6 x - 4$
193887	Evaluate	1/(e^1)	$\frac{1}{e^{1}}$
193888	Write in Standard Form	Ax+By=C	$A x + B y = C$
193889	Evaluate	-1/2*2/( square root of 3)	$- \frac{1}{2} \cdot \frac{2}{\sqrt{3}}$
193890	Solve for x	-3(2x+7)+(-5x+6)-8(1-2x)-(x-3)=0	$- 3 (2 x + 7) + (- 5 x + 6) - 8 (1 - 2 x) - (x - 3) = 0$
193891	Simplify	1/3x+3/4+2/3x-1/4-2/3x	$\frac{1}{3} x + \frac{3}{4} + \frac{2}{3} x - \frac{1}{4} - \frac{2}{3} x$
193892	Find the Product	(a^2-b^2)/(2ab)*(a^2)/(a-b)	$\frac{a^{2} - b^{2}}{2 a b} \cdot \frac{a^{2}}{a - b}$
193893	Graph	s(t)=10(2)^x+10	$s (t) = 10 {(2)}^{x} + 10$
193894	Simplify	log base 3 of 8^3*9^8	$\log_{3} (8^{3} \cdot 9^{8})$
193895	Expand the Logarithmic Expression	log base 3 of 8^3*9^8	$\log_{3} (8^{3} \cdot 9^{8})$
193896	Evaluate	square root of -16	$\sqrt[2]{- 16}$
193897	Solve for p	a=b+cp	$a = b + c p$
193898	Solve the Inequality for x	(x-19)/(x-20)>3	$\frac{x - 19}{x - 20} > 3$
193899	Convert to a Decimal	sin(45)deg	$\sin (45)$ degrees
193900	Evaluate	8^-2*a^7	$8^{- 2} \cdot a^{7}$