Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
220001	Simplify	(x^5y^(-9/2)z^3)/(xy^-4z^3)	$\frac{x^{5} y^{- \frac{9}{2}} z^{3}}{x y^{- 4} z^{3}}$
220002	Solve the System of Inequalities	y>=x+10 y<=x-3	$y \geq x + 10$ $y \leq x - 3$
220003	Evaluate	((2x^0)/(4x^-2y^4))^2	${(\frac{2 x^{0}}{4 x^{- 2} y^{4}})}^{2}$
220004	Solve the System of Equations	4x+3y=8 and x-2y=-13	$4 x + 3 y = 8$ and $x - 2 y = - 13$
220005	Find the Roots (Zeros)	y=-cos(2x)	$y = - \cos (2 x)$
220006	Simplify	Simplify (cot(theta))/(csc(theta))	Simplify $\frac{\cot (θ)}{\csc (θ)}$
220007	Simplify the Radical Expression	(x^(2/3))^6	${(x^{\frac{2}{3}})}^{6}$
220008	Solve for t	\|2t-1\|-5>2	$\| 2 t - 1 \| - 5 > 2$
220009	Simplify	(5x)/( cube root of 3x^2)	$\frac{5 x}{\sqrt[3]{3 x^{2}}}$
220010	Solve for x	2/3(x-6)=-1/3x-14	$\frac{2}{3} (x - 6) = - \frac{1}{3} x - 14$
220011	Solve for x	98=-4+3(-5x-1)	$98 = - 4 + 3 (- 5 x - 1)$
220012	Evaluate	f(-3)+2f(-1)-f(4)	$f (- 3) + 2 f (- 1) - f (4)$
220013	Solve for x	12x-5-6x=-5+6x	$12 x - 5 - 6 x = - 5 + 6 x$
220014	Simplify	(-m)^-3n	${(- m)}^{- 3} n$
220015	Evaluate the Function	f(-1)=2(-1)-1	$f (- 1) = 2 (- 1) - 1$
220016	Find the Exact Value	((8^-5)/(2^-2))^-4	${(\frac{8^{- 5}}{2^{- 2}})}^{- 4}$
220017	Simplify	1-2sin(x)+(1-cos(x)^2)	$1 - 2 \sin (x) + (1 - \cos^{2} (x))$
220018	Solve for v	ve=1/2mv^2	$v e = \frac{1}{2} m v^{2}$
220019	Simplify	(3d^-10)÷6d^-7	$3 d^{- 10} \div 6 d^{- 7}$
220020	Solve for x	x+6=2(x+3)-x	$x + 6 = 2 (x + 3) - x$
220021	Simplify	x^(-1/6)*x^(-6/7)	$x^{- \frac{1}{6}} \cdot x^{- \frac{6}{7}}$
220022	Simplify	(x^2y-xy^2+y^3)/((x^2)/y+(y^2)/x)	$\frac{x^{2} y - x y^{2} + y^{3}}{\frac{x^{2}}{y} + \frac{y^{2}}{x}}$
220023	Solve for a	h=-15t+1/2at^2+9	$h = - 15 t + \frac{1}{2} a t^{2} + 9$
220024	Solve the Rational Equation for x	3 square root of x=2	$3 \sqrt{x} = 2$
220025	Write in Standard Form	(-2x^2+5x-7)+(3x+7)	$(- 2 x^{2} + 5 x - 7) + (3 x + 7)$
220026	Simplify	(2^2-4)/(2-2)	$\frac{2^{2} - 4}{2 - 2}$
220027	Solve for x	square root of x+3 = square root of 4x-8	$\sqrt{x + 3} = \sqrt{4 x - 8}$
220028	Solve for k	5/4(2-k)=2(3k-1)-2/3k	$\frac{5}{4} (2 - k) = 2 (3 k - 1) - \frac{2}{3} k$
220029	Solve for q	(8q-2)/12-6=(10q+6)/6	$\frac{8 q - 2}{12} - 6 = \frac{10 q + 6}{6}$
220030	Simplify	1/(1- square root of 5)+1/(1+ square root of 5)	$\frac{1}{1 - \sqrt{5}} + \frac{1}{1 + \sqrt{5}}$
220031	Solve the Rational Equation for x	square root of x+7=x+1	$\sqrt{x} + 7 = x + 1$
220032	Solve the Inequality for x	5x^2-10<=2x-7	$5 x^{2} - 10 \leq 2 x - 7$
220033	Solve the Inequality for x	\|3/4x-3\|-8>=-5	$\| \frac{3}{4} x - 3 \| - 8 \geq - 5$
220034	Evaluate	(2)((2)(5-2)+1)	$(2) ((2) (5 - 2) + 1)$
220035	Simplify the Radical Expression	(-3 square root of 3)( square root of -30)	$(- 3 \sqrt{3}) (\sqrt{- 30})$
220036	Solve the System of Equations	Solve x+3y=9 3x-3y=-13	Solve $x + 3 y = 9$ $3 x - 3 y = - 13$
220037	Simplify	cot(B)+(sin(B))/(1+cos(B))	$\cot (B) + \frac{\sin (B)}{1 + \cos (B)}$
220038	Find All Complex Solutions	square root of x+10-7=-5	$\sqrt{x + 10} - 7 = - 5$
220039	Multiply	square root of 4x^2* square root of 20x^2	$\sqrt{4 x^{2}} \cdot \sqrt{20 x^{2}}$
220040	Divide Using Synthetic Division	(4x^4-4x^3-22x^2+x-25)/(x-3)	$\frac{4 x^{4} - 4 x^{3} - 22 x^{2} + x - 25}{x - 3}$
220041	Write as a Single Logarithm	log of a+2 log of b-1/2 log of 9c^2	$\log (a) + 2 \log (b) - \frac{1}{2} \log (9 c^{2})$
220042	Solve the System of Equations	x^2-y^2=16 x^2+y^2=20	$x^{2} - y^{2} = 16$ $x^{2} + y^{2} = 20$
220043	Determine if Dependent, Independent, or Inconsistent	y=-1/2x+2 x+2y=4	$y = - \frac{1}{2} x + 2$ $x + 2 y = 4$
220044	Convert to Interval Notation	4x<=12 or 9-x<0	$4 x \leq 12$ or $9 - x < 0$
220045	Solve for x	5-(x-6)=4(3-2x)	$5 - (x - 6) = 4 (3 - 2 x)$
220046	Simplify	(3a)^2(7b)^4	${(3 a)}^{2} {(7 b)}^{4}$
220047	Solve for y	-170=6y^3-8	$- 170 = 6 y^{3} - 8$
220048	Simplify	(sec(x)^2-1)^2	${(\sec^{2} (x) - 1)}^{2}$
220049	Simplify	(9r^2s-3r+11s^2)-(2r^2s+2r-5s^2)	$(9 r^{2} s - 3 r + 11 s^{2}) - (2 r^{2} s + 2 r - 5 s^{2})$
220050	Simplify	(4r^8s^(-1/2))^(1/2)(32s^(-5/4))^(-1/5)	${(4 r^{8} s^{- \frac{1}{2}})}^{\frac{1}{2}} {(32 s^{- \frac{5}{4}})}^{- \frac{1}{5}}$
220051	Evaluate	(22/7-2/3)	$(\frac{22}{7} - \frac{2}{3})$
220052	Solve the Rational Equation for x	x+3 = square root of x+33	$x + 3 = \sqrt{x + 33}$
220053	Solve for x	x-4=1/4(8x-16)	$x - 4 = \frac{1}{4} (8 x - 16)$
220054	Factor by Grouping	4k^5-100k^3	$4 k^{5} - 100 k^{3}$
220055	Solve the Inequality for x	\|2x-4\|+2<6	$\| 2 x - 4 \| + 2 < 6$
220056	Simplify	((2^0)/2)^2	${(\frac{2^{0}}{2})}^{2}$
220057	Solve the Inequality for x	3x^2+40x<-8x-189	$3 x^{2} + 40 x < - 8 x - 189$
220058	Simplify	(4a^-3b^-4)/(4a^3)	$\frac{4 a^{- 3} b^{- 4}}{4 a^{3}}$
220059	Evaluate	64÷(15-7)*2-9	$64 \div (15 - 7) \times 2 - 9$
220060	Solve the Inequality for x	6x^2-30x<-7x+4	$6 x^{2} - 30 x < - 7 x + 4$
220061	Graph	y=x^2 and y=x^2-4	$y = x^{2}$ and $y = x^{2} - 4$
220062	Solve for x	2((5x+4)/2)=7(2)	$2 (\frac{5 x + 4}{2}) = 7 (2)$
220063	Factor	x^2+(1/x)^2+2-2x-2/x	$x^{2} + {(\frac{1}{x})}^{2} + 2 - 2 x - \frac{2}{x}$
220064	Simplify the Radical Expression	( square root of 2)/(2 square root of 3)	$\frac{\sqrt{2}}{2 \sqrt{3}}$
220065	Evaluate	-80%+54/50-0.25	$- 80 % + \frac{54}{50} - 0.25$
220066	Solve for x	2x^3-2=198	$2 x^{3} - 2 = 198$
220067	Find the Degree, Leading Term, and Leading Coefficient	f(x)=x^4+2x^3-13x^2-14x+24	$f (x) = x^{4} + 2 x^{3} - 13 x^{2} - 14 x + 24$
220068	Find the Roots (Zeros)	x^3=4	$x^{3} = 4$
220069	Solve for s	-6(-4+14s)=-4(-12+18s)	$- 6 (- 4 + 14 s) = - 4 (- 12 + 18 s)$
220070	Simplify	( square root of x-y+1)( square root of x+y-1)	$(\sqrt{x} - y + 1) (\sqrt{x} + y - 1)$
220071	Solve for x	S=2pi square root of x/p	$S = 2 π \sqrt{\frac{x}{p}}$
220072	Graph	y>x 5 y>=2x+3	$y > x$ $5$ $y \geq 2 x + 3$
220073	Simplify	(3x^2-4x+6x)+(5x^3+2x^2-3x)	$(3 x^{2} - 4 x + 6 x) + (5 x^{3} + 2 x^{2} - 3 x)$
220074	Write in y=mx+b Form	(1,1) , (4,-1/2)	$(1, 1)$ , $(4, - \frac{1}{2})$
220075	Evaluate	((2^-1)^4)/(2^2)	$\frac{{(2^{- 1})}^{4}}{2^{2}}$
220076	Solve for z	z-2=4+9z	$z - 2 = 4 + 9 z$
220077	Find the Exact Value	11-3*2+2^3+90÷6	$11 - 3 \cdot 2 + 2^{3} + 90 \div 6$
220078	Solve the Inequality for m	(3m+1)/2>-1	$\frac{3 m + 1}{2} > - 1$
220079	Solve the Inequality for x	(3x+6)/(2x-12)>=0	$\frac{3 x + 6}{2 x - 12} \geq 0$
220080	Solve the Inequality for k	-24+k<=10	$- 24 + k \leq 10$
220081	Solve the Inequality for b	1+\|1+b\|<4	$1 + \| 1 + b \| < 4$
220082	Simplify	4(1/4a+b-6)	$4 (\frac{1}{4} a + b - 6)$
220083	Solve the Inequality for y	(y-1)/2-(2y+3)/8-y>2	$\frac{(y - 1)}{2} - \frac{(2 y + 3)}{8} - y > 2$
220084	Simplify	3 square root of square root of 64	$3 \sqrt{\sqrt{64}}$
220085	Find the Product	(4x^2+x-5)(2x+1)	$(4 x^{2} + x - 5) (2 x + 1)$
220086	Simplify	(x^ny^(2n))/(x^3y^2)	$\frac{x^{n} y^{2 n}}{x^{3} y^{2}}$
220087	Evaluate	((2^24^2)/(42^3))^2	${(\frac{2^{2} \cdot 4^{2}}{4 \cdot 2^{3}})}^{2}$
220088	Solve the System of Equations	x+2y+z=9 x-y+3z=13 2z=10	$x + 2 y + z = 9$ $x - y + 3 z = 13$ $2 z = 10$
220089	Evaluate	4/( square root of 2)+2/( square root of 3)	$\frac{4}{\sqrt{2}} + \frac{2}{\sqrt{3}}$
220090	Evaluate	-7(-1)^3+5(-1)^2+(-1)	$- 7 {(- 1)}^{3} + 5 {(- 1)}^{2} + (- 1)$
220091	Simplify	4/(9x)*5/(3x)	$\frac{4}{9 x} \cdot \frac{5}{3 x}$
220092	Evaluate Using the Given Value	y-(z+z^2) ; use y=10 ; and z=2	$y - (z + z^{2})$ ; use $y = 10$ ; and $z = 2$
220093	Graph	y>x 2 y>=x-2	$y > x$ $2$ $y \geq x - 2$
220094	Factor	(6a^2-5a)	$(6 a^{2} - 5 a)$
220095	Evaluate	cot(theta)=1	$\cot (θ) = 1$
220096	Solve for x	v^2=v_0^2+2ax	$v^{2} = v_{0^{2}} + 2 a x$
220097	Solve for v	(4v-16)^(1/3)+2=0	${(4 v - 16)}^{\frac{1}{3}} + 2 = 0$
220098	Find the Excluded Values	(x^2-4x)/(x-1)*(x^2+3x-4)/(2x)	$\frac{x^{2} - 4 x}{x - 1} \cdot \frac{x^{2} + 3 x - 4}{2 x}$
220099	Simplify	square root of 12( square root of 3+ square root of 6)	$\sqrt{12} (\sqrt{3} + \sqrt{6})$
220100	Simplify	i^5i^11i^18*i^8	$i^{5} \cdot i^{11} \cdot i^{18} \cdot i^{8}$