Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
220001	Evaluate	20% of 65	$20 %$ of $65$
220002	Evaluate	square root of 6/8* square root of 6/18	$\sqrt{\frac{6}{8}} \cdot \sqrt{\frac{6}{18}}$
220003	Find the x and y Intercepts	f(x)=2* log base 1/4 of x	$f (x) = 2 \cdot \log_{\frac{1}{4}} (x)$
220004	Evaluate	3*(10+1)+5	$3 \times (10 + 1) + 5$
220005	Find the x and y Intercepts	f(x)=-2/(2x-4)+1	$f (x) = - \frac{2}{2 x - 4} + 1$
220006	Solve for x	25^x*5^(x+3)=625^(x-7)	$25^{x} \cdot 5^{x + 3} = 625^{x - 7}$
220007	Expand the Logarithmic Expression	log base 4 of ( cube root of xy)/64	$\log_{4} (\frac{\sqrt[3]{x y}}{64})$
220008	Simplify the Radical Expression	square root of 3(5+ square root of 3)	$\sqrt{3} (5 + \sqrt{3})$
220009	Solve for x	1/5 log base 2 of x^2=4	$\frac{1}{5} \log_{2} (x^{2}) = 4$
220010	Simplify	(5x^my^n)(6x^7y^4)	$(5 x^{m} y^{n}) (6 x^{7} y^{4})$
220011	Solve by Graphing	x=-2 3x-2y=-18	$x = - 2$ $3 x - 2 y = - 18$
220012	Rationalize the Denominator	cube root of 3/(4k)	$\sqrt[3]{\frac{3}{4 k}}$
220013	Solve for x	log base (x+3) of 8=1/2	$\log_{(x + 3)} (8) = \frac{1}{2}$
220014	Find the Parallel Line	What is the equation of the line that is parallel to the line defined by the equation 8x=2y+4 and goes through the point (3,2) ?	What is the equation of the line that is parallel to the line defined by the equation $8 x = 2 y + 4$ and goes through the point $(3, 2)$ ?
220015	Graph	2 log base 5 of -x-1-8	$2 \log_{5} (- x - 1) - 8$
220016	Simplify	(x^5y^(-9/2)z^3)/(xy^-4z^3)	$\frac{x^{5} y^{- \frac{9}{2}} z^{3}}{x y^{- 4} z^{3}}$
220017	Solve the System of Inequalities	y>=x+10 y<=x-3	$y \geq x + 10$ $y \leq x - 3$
220018	Evaluate	((2x^0)/(4x^-2y^4))^2	${(\frac{2 x^{0}}{4 x^{- 2} y^{4}})}^{2}$
220019	Solve the System of Equations	4x+3y=8 and x-2y=-13	$4 x + 3 y = 8$ and $x - 2 y = - 13$
220020	Find the Roots (Zeros)	y=-cos(2x)	$y = - \cos (2 x)$
220021	Simplify	Simplify (cot(theta))/(csc(theta))	Simplify $\frac{\cot (θ)}{\csc (θ)}$
220022	Simplify the Radical Expression	(x^(2/3))^6	${(x^{\frac{2}{3}})}^{6}$
220023	Solve for t	\|2t-1\|-5>2	$\| 2 t - 1 \| - 5 > 2$
220024	Simplify	(5x)/( cube root of 3x^2)	$\frac{5 x}{\sqrt[3]{3 x^{2}}}$
220025	Solve for x	2/3(x-6)=-1/3x-14	$\frac{2}{3} (x - 6) = - \frac{1}{3} x - 14$
220026	Solve for x	98=-4+3(-5x-1)	$98 = - 4 + 3 (- 5 x - 1)$
220027	Evaluate	f(-3)+2f(-1)-f(4)	$f (- 3) + 2 f (- 1) - f (4)$
220028	Solve for x	12x-5-6x=-5+6x	$12 x - 5 - 6 x = - 5 + 6 x$
220029	Simplify	(-m)^-3n	${(- m)}^{- 3} n$
220030	Evaluate the Function	f(-1)=2(-1)-1	$f (- 1) = 2 (- 1) - 1$
220031	Find the Exact Value	((8^-5)/(2^-2))^-4	${(\frac{8^{- 5}}{2^{- 2}})}^{- 4}$
220032	Simplify	1-2sin(x)+(1-cos(x)^2)	$1 - 2 \sin (x) + (1 - \cos^{2} (x))$
220033	Solve for v	ve=1/2mv^2	$v e = \frac{1}{2} m v^{2}$
220034	Simplify	(3d^-10)÷6d^-7	$3 d^{- 10} \div 6 d^{- 7}$
220035	Solve for x	x+6=2(x+3)-x	$x + 6 = 2 (x + 3) - x$
220036	Simplify	x^(-1/6)*x^(-6/7)	$x^{- \frac{1}{6}} \cdot x^{- \frac{6}{7}}$
220037	Simplify	(x^2y-xy^2+y^3)/((x^2)/y+(y^2)/x)	$\frac{x^{2} y - x y^{2} + y^{3}}{\frac{x^{2}}{y} + \frac{y^{2}}{x}}$
220038	Solve for a	h=-15t+1/2at^2+9	$h = - 15 t + \frac{1}{2} a t^{2} + 9$
220039	Solve the Rational Equation for x	3 square root of x=2	$3 \sqrt{x} = 2$
220040	Write in Standard Form	(-2x^2+5x-7)+(3x+7)	$(- 2 x^{2} + 5 x - 7) + (3 x + 7)$
220041	Simplify	(2^2-4)/(2-2)	$\frac{2^{2} - 4}{2 - 2}$
220042	Solve for x	square root of x+3 = square root of 4x-8	$\sqrt{x + 3} = \sqrt{4 x - 8}$
220043	Solve for k	5/4(2-k)=2(3k-1)-2/3k	$\frac{5}{4} (2 - k) = 2 (3 k - 1) - \frac{2}{3} k$
220044	Solve for q	(8q-2)/12-6=(10q+6)/6	$\frac{8 q - 2}{12} - 6 = \frac{10 q + 6}{6}$
220045	Simplify	1/(1- square root of 5)+1/(1+ square root of 5)	$\frac{1}{1 - \sqrt{5}} + \frac{1}{1 + \sqrt{5}}$
220046	Solve the Rational Equation for x	square root of x+7=x+1	$\sqrt{x} + 7 = x + 1$
220047	Solve the Inequality for x	5x^2-10<=2x-7	$5 x^{2} - 10 \leq 2 x - 7$
220048	Solve the Inequality for x	\|3/4x-3\|-8>=-5	$\| \frac{3}{4} x - 3 \| - 8 \geq - 5$
220049	Evaluate	(2)((2)(5-2)+1)	$(2) ((2) (5 - 2) + 1)$
220050	Simplify the Radical Expression	(-3 square root of 3)( square root of -30)	$(- 3 \sqrt{3}) (\sqrt{- 30})$
220051	Solve the System of Equations	Solve x+3y=9 3x-3y=-13	Solve $x + 3 y = 9$ $3 x - 3 y = - 13$
220052	Simplify	cot(B)+(sin(B))/(1+cos(B))	$\cot (B) + \frac{\sin (B)}{1 + \cos (B)}$
220053	Find All Complex Solutions	square root of x+10-7=-5	$\sqrt{x + 10} - 7 = - 5$
220054	Multiply	square root of 4x^2* square root of 20x^2	$\sqrt{4 x^{2}} \cdot \sqrt{20 x^{2}}$
220055	Divide Using Synthetic Division	(4x^4-4x^3-22x^2+x-25)/(x-3)	$\frac{4 x^{4} - 4 x^{3} - 22 x^{2} + x - 25}{x - 3}$
220056	Write as a Single Logarithm	log of a+2 log of b-1/2 log of 9c^2	$\log (a) + 2 \log (b) - \frac{1}{2} \log (9 c^{2})$
220057	Solve the System of Equations	x^2-y^2=16 x^2+y^2=20	$x^{2} - y^{2} = 16$ $x^{2} + y^{2} = 20$
220058	Determine if Dependent, Independent, or Inconsistent	y=-1/2x+2 x+2y=4	$y = - \frac{1}{2} x + 2$ $x + 2 y = 4$
220059	Convert to Interval Notation	4x<=12 or 9-x<0	$4 x \leq 12$ or $9 - x < 0$
220060	Solve for x	5-(x-6)=4(3-2x)	$5 - (x - 6) = 4 (3 - 2 x)$
220061	Simplify	(3a)^2(7b)^4	${(3 a)}^{2} {(7 b)}^{4}$
220062	Solve for y	-170=6y^3-8	$- 170 = 6 y^{3} - 8$
220063	Simplify	(sec(x)^2-1)^2	${(\sec^{2} (x) - 1)}^{2}$
220064	Simplify	(9r^2s-3r+11s^2)-(2r^2s+2r-5s^2)	$(9 r^{2} s - 3 r + 11 s^{2}) - (2 r^{2} s + 2 r - 5 s^{2})$
220065	Simplify	(4r^8s^(-1/2))^(1/2)(32s^(-5/4))^(-1/5)	${(4 r^{8} s^{- \frac{1}{2}})}^{\frac{1}{2}} {(32 s^{- \frac{5}{4}})}^{- \frac{1}{5}}$
220066	Evaluate	(22/7-2/3)	$(\frac{22}{7} - \frac{2}{3})$
220067	Solve the Rational Equation for x	x+3 = square root of x+33	$x + 3 = \sqrt{x + 33}$
220068	Solve for x	x-4=1/4(8x-16)	$x - 4 = \frac{1}{4} (8 x - 16)$
220069	Factor by Grouping	4k^5-100k^3	$4 k^{5} - 100 k^{3}$
220070	Solve the Inequality for x	\|2x-4\|+2<6	$\| 2 x - 4 \| + 2 < 6$
220071	Simplify	((2^0)/2)^2	${(\frac{2^{0}}{2})}^{2}$
220072	Solve the Inequality for x	3x^2+40x<-8x-189	$3 x^{2} + 40 x < - 8 x - 189$
220073	Simplify	(4a^-3b^-4)/(4a^3)	$\frac{4 a^{- 3} b^{- 4}}{4 a^{3}}$
220074	Evaluate	64÷(15-7)*2-9	$64 \div (15 - 7) \times 2 - 9$
220075	Solve the Inequality for x	6x^2-30x<-7x+4	$6 x^{2} - 30 x < - 7 x + 4$
220076	Graph	y=x^2 and y=x^2-4	$y = x^{2}$ and $y = x^{2} - 4$
220077	Solve for x	2((5x+4)/2)=7(2)	$2 (\frac{5 x + 4}{2}) = 7 (2)$
220078	Factor	x^2+(1/x)^2+2-2x-2/x	$x^{2} + {(\frac{1}{x})}^{2} + 2 - 2 x - \frac{2}{x}$
220079	Simplify the Radical Expression	( square root of 2)/(2 square root of 3)	$\frac{\sqrt{2}}{2 \sqrt{3}}$
220080	Evaluate	-80%+54/50-0.25	$- 80 % + \frac{54}{50} - 0.25$
220081	Solve for x	2x^3-2=198	$2 x^{3} - 2 = 198$
220082	Find the Degree, Leading Term, and Leading Coefficient	f(x)=x^4+2x^3-13x^2-14x+24	$f (x) = x^{4} + 2 x^{3} - 13 x^{2} - 14 x + 24$
220083	Find the Roots (Zeros)	x^3=4	$x^{3} = 4$
220084	Solve for s	-6(-4+14s)=-4(-12+18s)	$- 6 (- 4 + 14 s) = - 4 (- 12 + 18 s)$
220085	Simplify	( square root of x-y+1)( square root of x+y-1)	$(\sqrt{x} - y + 1) (\sqrt{x} + y - 1)$
220086	Solve for x	S=2pi square root of x/p	$S = 2 π \sqrt{\frac{x}{p}}$
220087	Graph	y>x 5 y>=2x+3	$y > x$ $5$ $y \geq 2 x + 3$
220088	Simplify	(3x^2-4x+6x)+(5x^3+2x^2-3x)	$(3 x^{2} - 4 x + 6 x) + (5 x^{3} + 2 x^{2} - 3 x)$
220089	Write in y=mx+b Form	(1,1) , (4,-1/2)	$(1, 1)$ , $(4, - \frac{1}{2})$
220090	Evaluate	((2^-1)^4)/(2^2)	$\frac{{(2^{- 1})}^{4}}{2^{2}}$
220091	Solve for z	z-2=4+9z	$z - 2 = 4 + 9 z$
220092	Find the Exact Value	11-3*2+2^3+90÷6	$11 - 3 \cdot 2 + 2^{3} + 90 \div 6$
220093	Solve the Inequality for m	(3m+1)/2>-1	$\frac{3 m + 1}{2} > - 1$
220094	Solve the Inequality for x	(3x+6)/(2x-12)>=0	$\frac{3 x + 6}{2 x - 12} \geq 0$
220095	Solve the Inequality for k	-24+k<=10	$- 24 + k \leq 10$
220096	Solve the Inequality for b	1+\|1+b\|<4	$1 + \| 1 + b \| < 4$
220097	Simplify	4(1/4a+b-6)	$4 (\frac{1}{4} a + b - 6)$
220098	Solve the Inequality for y	(y-1)/2-(2y+3)/8-y>2	$\frac{(y - 1)}{2} - \frac{(2 y + 3)}{8} - y > 2$
220099	Simplify	3 square root of square root of 64	$3 \sqrt{\sqrt{64}}$
220100	Find the Product	(4x^2+x-5)(2x+1)	$(4 x^{2} + x - 5) (2 x + 1)$