Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
193801	Solve the Inequality for x	3(x-2)-(1-x)>2x-7	$3 (x - 2) - (1 - x) > 2 x - 7$
193802	Solve for x	3(x-a)=b	$3 (x - a) = b$
193803	Solve for θ	4sin(theta)-1=2sin(theta)	$4 \sin (θ) - 1 = 2 \sin (θ)$
193804	Simplify	((5x^6y^2)/(10x^4y))^2	${(\frac{5 x^{6} y^{2}}{10 x^{4} y})}^{2}$
193805	Simplify	(4xy^6)/(x^2y^4)	$\frac{4 x y^{6}}{x^{2} y^{4}}$
193806	Simplify	-5x^2 square root of 2x+x square root of 200x^3	$- 5 x^{2} \sqrt{2 x} + x \sqrt{200 x^{3}}$
193807	Determine if Parallel	y=2x+3 and y=-x-4	$y = 2 x + 3$ and $y = - x - 4$
193808	Evaluate	(( square root of 2)/2)(1/2)	$(\frac{\sqrt{2}}{2}) (\frac{1}{2})$
193809	Convert to Interval Notation	1/(-x)<=2/(7-x)	$\frac{1}{- x} \leq \frac{2}{7 - x}$
193810	Divide	(-10d^4e^3f^5)÷15d^2e^2f	$- 10 d^{4} e^{3} f^{5} \div 15 d^{2} e^{2} f$
193811	Find the Roots (Zeros)	4x^2=0	$4 x^{2} = 0$
193812	Simplify	( square root of 8)÷( square root of 2)	$\sqrt{8} \div \sqrt{2}$
193813	Solve the Absolute Value Inequality for x	\|2x-6\|=4x	$\| 2 x - 6 \| = 4 x$
193814	Expand Using the Binomial Theorem	(9n-4/7z)^2	${(9 n - \frac{4}{7} z)}^{2}$
193815	Find the Exact Value	square root of 2/3	$\sqrt{\frac{2}{3}}$
193816	Simplify	m/6-m/5	$\frac{m}{6} - \frac{m}{5}$
193817	Solve for x	(1-a)x=a-1	$(1 - a) x = a - 1$
193818	Simplify	(5x^2+x-4)(x+2)	$(5 x^{2} + x - 4) (x + 2)$
193819	Divide	3÷4 1/2	$3 \div 4 \frac{1}{2}$
193820	Simplify	(5x)^2+(5x^2-5)^2	${(5 x)}^{2} + {(5 x^{2} - 5)}^{2}$
193821	Find the Equation Using Point-Slope Formula	(6,4) and (7,2)	$(6, 4)$ and $(7, 2)$
193822	Solve for x	25-(3x+5)=2(x+8)+x	$25 - (3 x + 5) = 2 (x + 8) + x$
193823	Solve for F	F(t)=2*1/(2^(3t))	$F (t) = 2 \cdot \frac{1}{2^{3 t}}$
193824	Solve for x	2-(x+4)/2=11	$2 - \frac{x + 4}{2} = 11$
193825	Solve the Inequality for y	y+y/2>3	$y + \frac{y}{2} > 3$
193826	Solve for x	3-x/(x-4)=4/(4-x)	$3 - \frac{x}{x - 4} = \frac{4}{4 - x}$
193827	Solve for x	7(x+4)=3x+12+x-5	$7 (x + 4) = 3 x + 12 + x - 5$
193828	Solve for x	x+1>=0	$x + 1 \geq 0$
193829	Find the Exact Value	sin(arccos(x/2))	$\sin (\arccos (\frac{x}{2}))$
193830	Graph	y+5=-1/2(x-3)^2	$y + 5 = - \frac{1}{2} {(x - 3)}^{2}$
193831	Find All Complex Solutions	sec(x)^2+tan(x)=1	$\sec^{2} (x) + \tan (x) = 1$
193832	Solve for x	square root of x-4+x=6	$\sqrt{x - 4} + x = 6$
193833	Graph	S(x)=3/2x^6-3x^4	$S (x) = \frac{3}{2} x^{6} - 3 x^{4}$
193834	Divide	(3p^6Q+14p^3Q-4p^3Q^2)/(-7P^3Q)	$\frac{3 p^{6} Q + 14 p^{3} Q - 4 p^{3} Q^{2}}{- 7 P^{3} Q}$
193835	Solve for x	log base x+2 of 9x=2	$\log_{x + 2} (9 x) = 2$
193836	Solve the Inequality for x	x^3+x^2+64x+64<0	$x^{3} + x^{2} + 64 x + 64 < 0$
193837	Find the Inverse	y=x^2+9 , x>=0	$y = x^{2} + 9$ , $x \geq 0$
193838	Simplify	-1/6(24x-60)+2x	$- \frac{1}{6} (24 x - 60) + 2 x$
193839	Solve for x	(x+b)/4=c	$\frac{x + b}{4} = c$
193840	Simplify	(x+1/x+1)/(x+1/x+2)	$\frac{x + \frac{1}{x} + 1}{x + \frac{1}{x} + 2}$
193841	Simplify	(x^2-y^2)/((x-y)^2)+(2y)/(y-x)	$\frac{x^{2} - y^{2}}{{(x - y)}^{2}} + \frac{2 y}{y - x}$
193842	Solve for r	g(r)=-1-7r	$g (r) = - 1 - 7 r$
193843	Solve the Inequality for m	3m-8>4	$3 m - 8 > 4$
193844	Solve the Inequality for c	c-12>-1	$c - 12 > - 1$
193845	Solve for x	3(2x+4)=2+6x+10	$3 (2 x + 4) = 2 + 6 x + 10$
193846	Evaluate	2sin(0)^2	$2 \sin^{2} (0)$
193847	Solve for x	1/2-(7x-4)=-1/2(-x-6)	$\frac{1}{2} - (7 x - 4) = - \frac{1}{2} (- x - 6)$
193848	Solve for q	6q-q-2q-1=29	$6 q - q - 2 q - 1 = 29$
193849	Graph	y=x^3-3,x>2; x^2+6,x<=2	$y = {\begin{cases} x^{3} - 3, x > 2 \\ x^{2} + 6, x \leq 2 \end{cases}$
193850	Evaluate Using the Given Value	5c-3d+11 when c=7 and d=8	$5 c - 3 d + 11$ when $c = 7$ and $d = 8$
193851	Find the Equation Given the Roots	1-2i and 1+2i	$1 - 2 i$ and $1 + 2 i$
193852	Solve for x	-(-5/4x+3)-3x=-7(-1/4x+2)	$- (- \frac{5}{4} x + 3) - 3 x = - 7 (- \frac{1}{4} x + 2)$
193853	Describe the Transformation	f(3x)	$f (3 x)$
193854	Factor	y=x^3+x^2-12x	$y = x^{3} + x^{2} - 12 x$
193855	Solve for r	P=r+s-1	$P = r + s - 1$
193856	Combine Like Terms	(-6x^2-x)-(-4x^2+10x-1)	$(- 6 x^{2} - x) - (- 4 x^{2} + 10 x - 1)$
193857	Write with Rational (Fractional) Exponents	fifth root of x^3+ fifth root of 2x	$\sqrt[5]{x^{3}} + \sqrt[5]{2 x}$
193858	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 $z = 6$
193859	Multiply	(2 square root of 3)^2	${(2 \sqrt{3})}^{2}$
193860	Simplify	(n-5)/35-(n-10)/105	$\frac{n - 5}{35} - \frac{n - 10}{105}$
193861	Simplify	square root of (xy^2)/(16y^5)	$\sqrt{\frac{x y^{2}}{16 y^{5}}}$
193862	Solve for x	(x^2)^x=x^(4x-x^2)	${(x^{2})}^{x} = x^{4 x - x^{2}}$
193863	Simplify	((x^2-9)/(x+1))÷((x^2-6x+9)/(7x+7))	$\frac{x^{2} - 9}{x + 1} \div \frac{x^{2} - 6 x + 9}{7 x + 7}$
193864	Evaluate	\|8\|-\|4\|+\|-1\|	$\| 8 \| - \| 4 \| + \| - 1 \|$
193865	Solve the Inequality for x	5\|x-2\|-2>58	$5 \| x - 2 \| - 2 > 58$
193866	Simplify	(-9n^4+8)-(-9n^4+2n^3+5n^2)	$(- 9 n^{4} + 8) - (- 9 n^{4} + 2 n^{3} + 5 n^{2})$
193867	Solve for x	2x(x-3)(64x^2-25)=0	$2 x (x - 3) (64 x^{2} - 25) = 0$
193868	Solve for c	p=(r-c)/n	$p = \frac{r - c}{n}$
193869	Divide	(x^5+2x^3-x-8)/(x^2-2x+1)	$\frac{x^{5} + 2 x^{3} - x - 8}{x^{2} - 2 x + 1}$
193870	Simplify the Radical Expression	(4^9)/(4^3)	$\frac{4^{9}}{4^{3}}$
193871	Solve for x	1/x=1	$\frac{1}{x} = 1$
193872	Graph	0 , 2pi	$0$ , $2 π$
193873	Solve for z	6z-7>8z+2	$6 z - 7 > 8 z + 2$
193874	Multiply	((a-1)^2)/30*6/(a-1)	$\frac{{(a - 1)}^{2}}{30} \cdot \frac{6}{(a - 1)}$
193875	Solve for x	(x+3)/(x-5)+(2x)/(x-8)=(2x)/(x-8)	$\frac{x + 3}{x - 5} + \frac{2 x}{x - 8} = \frac{2 x}{x - 8}$
193876	Combine Like Terms	-2x-8-7x+2	$- 2 x - 8 - 7 x + 2$
193877	Find f(g(x))	f(x)=4x+1 , g(x)=x^2-5	$f (x) = 4 x + 1$ , $g (x) = x^{2} - 5$
193878	Solve for x	4/(x+1)+6/(x-2)=-2/(x^2-x-2)	$\frac{4}{x + 1} + \frac{6}{x - 2} = - \frac{2}{x^{2} - x - 2}$
193879	Divide Using Synthetic Division	(4x^3-9x+8x^2-18)÷(x+2)	$(4 x^{3} - 9 x + 8 x^{2} - 18) \div (x + 2)$
193880	Simplify	(3x^2+2x-5)+(7-3x+4x^2)	$(3 x^{2} + 2 x - 5) + (7 - 3 x + 4 x^{2})$
193881	Graph	f(x) = square root of -2x	$f (x) = \sqrt{- 2 x}$
193882	Multiply	1/21/21/21/21/21/21/21/21/2*1/2	$\frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2}$
193883	Graph	1/5x^5-2x^3+9/5x	$\frac{1}{5} x^{5} - 2 x^{3} + \frac{9}{5} x$
193884	Solve for x	square root of x^2+4-1=2	$\sqrt{x^{2} + 4} - 1 = 2$
193885	Solve for x	-3(-3x-3/2)+9x=-(-x+6)-5/2x	$- 3 (- 3 x - \frac{3}{2}) + 9 x = - (- x + 6) - \frac{5}{2} x$
193886	Evaluate	2^(2^(2^2))	$2^{2^{2^{2}}}$
193887	Factor by Grouping	42p^4+9p^3q^2-18p^2q^2	$42 p^{4} + 9 p^{3} q^{2} - 18 p^{2} q^{2}$
193888	Evaluate	(10^2)/(5^1)	$\frac{10^{2}}{5^{1}}$
193889	Convert to Interval Notation	8>3	$8 > 3$
193890	Find the Discriminant	2x^2=24	$2 x^{2} = 24$
193891	Find the End Behavior	f(x)=-45x^5-2736x+288x^2+864x^3-9x^6-2880+144x^4	$f (x) = - 45 x^{5} - 2736 x + 288 x^{2} + 864 x^{3} - 9 x^{6} - 2880 + 144 x^{4}$
193892	Simplify	(f^-5g^4)/(h^-2)	$\frac{f^{- 5} g^{4}}{h^{- 2}}$
193893	Simplify	( cube root of 5)^4	${(\sqrt[3]{5})}^{4}$
193894	Graph	f(-x)+1	$f (- x) + 1$
193895	Solve the Absolute Value Inequality for x	2\|x-2\|-12=0	$2 \| x - 2 \| - 12 = 0$
193896	Find the Axis of Symmetry	3y^2+8x+24y+40=0	$3 y^{2} + 8 x + 24 y + 40 = 0$
193897	Solve the System of Equations	7x+2y=-8 8y=4x	$7 x + 2 y = - 8$ $8 y = 4 x$
193898	Solve for n	n-3/5=2/5	$n - \frac{3}{5} = \frac{2}{5}$
193899	Convert to a Simplified Fraction	((4^3)/(5^-2))^5	${(\frac{4^{3}}{5^{- 2}})}^{5}$
193900	Solve for t	2=(1+0.065/12)^(12t)	$2 = {(1 + \frac{0.065}{12})}^{12 t}$