Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
220101	Simplify	(x^ny^(2n))/(x^3y^2)	$\frac{x^{n} y^{2 n}}{x^{3} y^{2}}$
220102	Evaluate	((2^24^2)/(42^3))^2	${(\frac{2^{2} \cdot 4^{2}}{4 \cdot 2^{3}})}^{2}$
220103	Solve the System of Equations	x+2y+z=9 x-y+3z=13 2z=10	$x + 2 y + z = 9$ $x - y + 3 z = 13$ $2 z = 10$
220104	Evaluate	4/( square root of 2)+2/( square root of 3)	$\frac{4}{\sqrt{2}} + \frac{2}{\sqrt{3}}$
220105	Evaluate	-7(-1)^3+5(-1)^2+(-1)	$- 7 {(- 1)}^{3} + 5 {(- 1)}^{2} + (- 1)$
220106	Simplify	4/(9x)*5/(3x)	$\frac{4}{9 x} \cdot \frac{5}{3 x}$
220107	Evaluate Using the Given Value	y-(z+z^2) ; use y=10 ; and z=2	$y - (z + z^{2})$ ; use $y = 10$ ; and $z = 2$
220108	Graph	y>x 2 y>=x-2	$y > x$ $2$ $y \geq x - 2$
220109	Factor	(6a^2-5a)	$(6 a^{2} - 5 a)$
220110	Evaluate	cot(theta)=1	$\cot (θ) = 1$
220111	Solve for x	v^2=v_0^2+2ax	$v^{2} = v_{0^{2}} + 2 a x$
220112	Solve for v	(4v-16)^(1/3)+2=0	${(4 v - 16)}^{\frac{1}{3}} + 2 = 0$
220113	Find the Excluded Values	(x^2-4x)/(x-1)*(x^2+3x-4)/(2x)	$\frac{x^{2} - 4 x}{x - 1} \cdot \frac{x^{2} + 3 x - 4}{2 x}$
220114	Simplify	square root of 12( square root of 3+ square root of 6)	$\sqrt{12} (\sqrt{3} + \sqrt{6})$
220115	Simplify	i^5i^11i^18*i^8	$i^{5} \cdot i^{11} \cdot i^{18} \cdot i^{8}$
220116	Simplify the Radical Expression	square root of 5a square root of 3b	$\sqrt{5 a} \sqrt{3 b}$
220117	Write in Standard Form	(10x^2+3x+9)+(5x^2+x+4)	$(10 x^{2} + 3 x + 9) + (5 x^{2} + x + 4)$
220118	Simplify the Radical Expression	(8/27)^(2/3)	${(\frac{8}{27})}^{\frac{2}{3}}$
220119	Simplify	3 square root of 9(x+y)^5	$3 \sqrt{9 {(x + y)}^{5}}$
220120	Graph	x+y=3/2	$x + y = \frac{3}{2}$
220121	Evaluate	(3pi)/2-(-pi/2)	$\frac{3 π}{2} - (- \frac{π}{2})$
220122	Solve for H	H=7/10(220-a)	$H = \frac{7}{10} (220 - a)$
220123	Simplify	3/(x^2-11x+24)(x^2-64)/(4x+32)(x^2+6x-27)/(x+9)	$\frac{3}{x^{2} - 11 x + 24} \cdot \frac{x^{2} - 64}{4 x + 32} \cdot \frac{x^{2} + 6 x - 27}{x + 9}$
220124	Solve for x	3(x^2+x)=2(x+2)	$3 (x^{2} + x) = 2 (x + 2)$
220125	Subtract	3x^2-7x+4 from 5x^2-3x+8	$3 x^{2} - 7 x + 4$ from $5 x^{2} - 3 x + 8$
220126	Evaluate	79/40-162.5%	$\frac{79}{40} - 162.5 %$
220127	Simplify	-(15w^0u^-1)/(5u^3)	$- \frac{15 w^{0} u^{- 1}}{5 u^{3}}$
220128	Evaluate	27el33%	$27 e l 33 %$
220129	Write the Fraction in Simplest Form	(10h^10)/((-5h^5q)^3)	$\frac{10 h^{10}}{{(- 5 h^{5} q)}^{3}}$
220130	Factor	15c(a+b)+8(b+a)	$15 c \cdot (a + b) + 8 \cdot (b + a)$
220131	Solve for x	x(x+7)=-3(x+8)-4	$x (x + 7) = - 3 (x + 8) - 4$
220132	Solve by Graphing	x-y=6 y=-2x	$x - y = 6$ $y = - 2 x$
220133	Convert to Interval Notation	5x-4<=-3 or 4x+6>0	$5 x - 4 \leq - 3$ or $4 x + 6 > 0$
220134	Solve for x	(2x+1)(x-2)(3x-4)<=0	$(2 x + 1) (x - 2) (3 x - 4) \leq 0$
220135	Solve for a	cube root of a=7	$\sqrt[3]{a} = 7$
220136	Factor	Factor 3x^2-6x-24	Factor $3 x^{2} - 6 x - 24$
220137	Simplify	(2i-3)+(8+ square root of -9)	$(2 i - 3) + (8 + \sqrt{- 9})$
220138	Simplify	(4t^3)/( square root of 15t^3)	$\frac{4 t^{3}}{\sqrt{15 t^{3}}}$
220139	Solve for k	8+k<=-3	$8 + k \leq - 3$
220140	Evaluate	pi/(4/2)	$\frac{π}{\frac{4}{2}}$
220141	Evaluate	(2.5+8.03)/(1.5*2.00)	$\frac{2.5 + 8.03}{1.5 \times 2}$
220142	Find the Domain and Range	y=-4/5 square root of x+2-1	$y = - \frac{4}{5} \sqrt{x + 2} - 1$
220143	Simplify	(8a+5x^2)(3a)a^0.3	$(8 a + 5 x^{2}) (3 a) a^{0.3}$
220144	Factor	45(y^8+30y^5)	$45 (y^{8} + 30 y^{5})$
220145	Graph	graph y=3	graph $y = 3$
220146	Find the Roots (Zeros)	y=3x^3-5x^2+3	$y = 3 x^{3} - 5 x^{2} + 3$
220147	Simplify the Radical Expression	( cube root of 6x^2)/( cube root of 2x)	$\frac{\sqrt[3]{6 x^{2}}}{\sqrt[3]{2 x}}$
220148	Evaluate	square root of x-3 = square root of 2x	$\sqrt{x - 3} = \sqrt{2 x}$
220149	Solve for y	8-7y^3=1	$8 - 7 y^{3} = 1$
220150	Find the x and y Intercepts	y=8*(1/4)^x-1	$y = 8 \cdot {(\frac{1}{4})}^{x} - 1$
220151	Divide Using Synthetic Division	(2x^2-17x-38)÷(2x+3)	$(2 x^{2} - 17 x - 38) \div (2 x + 3)$
220152	Solve for n	9 1/3=5/3n	$9 \frac{1}{3} = \frac{5}{3} n$
220153	Expand Using Pascal's Triangle	(2x^3-3y)^3	${(2 x^{3} - 3 y)}^{3}$
220154	Convert to a Percentage	29 is what percent of 20 ?	$29$ is what percent of $20$ ?
220155	Solve for x	Solve square root of x+75 = square root of x-5	Solve $\sqrt{x + 75} = \sqrt{x} - 5$
220156	Solve for x	(-3cos(x)-6sin(x))^2-27sin(x)^2=-9	${(- 3 \cos (x) - 6 \sin (x))}^{2} - 27 \sin^{2} (x) = - 9$
220157	Simplify	((a^2b^8)/(a^(1/3)))^(3/4)	${(\frac{a^{2} b^{8}}{a^{\frac{1}{3}}})}^{\frac{3}{4}}$
220158	Simplify	fourth root of 9x^2+7 square root of 12x	$\sqrt[4]{9 x^{2}} + 7 \sqrt{12 x}$
220159	Write in Standard Form	(x-1)(x+1)(x-3)	$(x - 1) (x + 1) (x - 3)$
220160	Solve for x	(x-1)/(x-2)+(x+4)/(2x+1)=1/(2x^2-3x-2)	$\frac{x - 1}{x - 2} + \frac{x + 4}{2 x + 1} = \frac{1}{2 x^{2} - 3 x - 2}$
220161	Divide	((x^2-4)/(x^2-11x+18))÷((6x)/(x-9))	$\frac{x^{2} - 4}{x^{2} - 11 x + 18} \div \frac{6 x}{x - 9}$
220162	Find All Complex Solutions	8+2(x-6)=-2+2x-2	$8 + 2 (x - 6) = - 2 + 2 x - 2$
220163	Solve for x	(2x-7)/(4x)+7/4=2	$\frac{2 x - 7}{4 x} + \frac{7}{4} = 2$
220164	Find the Degree	-10y^3 square root of 2-y^4	$- 10 y^{3} \sqrt{2} - y^{4}$
220165	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-2,-2) and has a slope of 2 ?	What is the equation of the line that passes through the point $(- 2, - 2)$ and has a slope of $2$ ?
220166	Factor by Grouping	4x^3-x^2y+8xy-2y^2	$4 x^{3} - x^{2} y + 8 x y - 2 y^{2}$
220167	Simplify the Radical Expression	square root of 5+3 square root of 5	$\sqrt{5} + 3 \sqrt{5}$
220168	Evaluate	4*(3+1)^2	$4 \cdot {(3 + 1)}^{2}$
220169	Divide	(x^2+3x-5)/x	$\frac{x^{2} + 3 x - 5}{x}$
220170	Find the x and y Intercepts	2^(-x)	$2^{- x}$
220171	Evaluate	(x^4)^(1/2)	${(x^{4})}^{\frac{1}{2}}$
220172	Evaluate	(10q^5w^7)/(2w^3)*(4(q^6)^2)/(w^-5)	$\frac{10 q^{5} w^{7}}{2 w^{3}} \cdot \frac{4 {(q^{6})}^{2}}{w^{- 5}}$
220173	Write in Slope-Intercept Form	(-3,-28) , (0,-4) , (4,168) , (-5,-174)	$(- 3, - 28)$ , $(0, - 4)$ , $(4, 168)$ , $(- 5, - 174)$
220174	Solve for x	10^(4x-5)=1	$10^{4 x - 5} = 1$
220175	Expand the Logarithmic Expression	log of ( cube root of yx^3)/z	$\log (\frac{\sqrt[3]{y x^{3}}}{z})$
220176	Combine Like Terms	2a^2b-5/2ab^2+7/12ab^2+5/6a^2b	$2 a^{2} b - \frac{5}{2} a b^{2} + \frac{7}{12} a b^{2} + \frac{5}{6} a^{2} b$
220177	Solve for b	2x(3x+5)+3(3x+5)=ax^2+bx+c	$2 x (3 x + 5) + 3 (3 x + 5) = a x^{2} + b x + c$
220178	Evaluate	-8+ square root of 5a-5=-3	$- 8 + \sqrt{5 a - 5} = - 3$
220179	Simplify	1/(cos(x))*(sin(x))/(cos(x))	$\frac{1}{\cos (x)} \cdot \frac{\sin (x)}{\cos (x)}$
220180	Simplify	((4a^3b^2c^0)/(3ab^-1))^-4	${(\frac{4 a^{3} b^{2} c^{0}}{3 a b^{- 1}})}^{- 4}$
220181	Simplify	((3x)/(zy^2))^6	${(\frac{3 x}{z y^{2}})}^{6}$
220182	Solve Using the Quadratic Formula	9(3+4x)^2=25	$9 {(3 + 4 x)}^{2} = 25$
220183	Simplify	(3+2i)/((1+i)^2)	$\frac{3 + 2 i}{{(1 + i)}^{2}}$
220184	Evaluate Using Scientific Notation	(7.5x10^-5)+(1.3x10^-5)	$(7.5 x \cdot 10^{- 5}) + (1.3 x \cdot 10^{- 5})$
220185	Factor	p(x)=x^4+x^3+x^2+x	$p (x) = x^{4} + x^{3} + x^{2} + x$
220186	Simplify	6x-2(2(x+1)-7)	$6 x - 2 (2 (x + 1) - 7)$
220187	Simplify	2 square root of 20/5	$2 \sqrt{\frac{20}{5}}$
220188	Convert to a Decimal	cos(60)deg	$\cos (60)$ degrees
220189	Graph	2x+y=-5 -3x+y=0	$2 x + y = - 5$ $- 3 x + y = 0$
220190	Evaluate	12tan(pi/4)^2+24sec(pi/4)^2	$12 \tan^{2} (\frac{π}{4}) + 24 \sec^{2} (\frac{π}{4})$
220191	Solve for u	-4/(2u+12)+3=-2/(u+6)	$- \frac{4}{2 u + 12} + 3 = - \frac{2}{u + 6}$
220192	Solve for x	3/(2x+3)-1/(2x-3)=4/(4x^2-9)	$\frac{3}{2 x + 3} - \frac{1}{2 x - 3} = \frac{4}{4 x^{2} - 9}$
220193	Simplify	(3x^2+2x)+(-x+9)	$(3 x^{2} + 2 x) + (- x + 9)$
220194	Multiply	(m-3+4n)*(-8)	$(m - 3 + 4 n) \cdot (- 8)$
220195	Simplify the Radical Expression	( square root of 90x^18)/( square root of 2x)	$\frac{\sqrt{90 x^{18}}}{\sqrt{2 x}}$
220196	Simplify	((x^(1/2)*x^(5/12))^4)÷(x^(2/3))	${(x^{\frac{1}{2}} \cdot x^{\frac{5}{12}})}^{4} \div x^{\frac{2}{3}}$
220197	Solve the Rational Equation for x	-x/(x+6)-1=6/(x+6)	$- \frac{x}{x + 6} - 1 = \frac{6}{x + 6}$
220198	Graph	f(x)=(x-4)(x-1)^2(x+2)(x+4)	$f (x) = (x - 4) {(x - 1)}^{2} (x + 2) (x + 4)$
220199	Multiply	( square root of 13+6)^2	${(\sqrt{13} + 6)}^{2}$
220200	Factor	18m^3+39m^2n-15mn^2	$18 m^{3} + 39 m^{2} n - 15 m n^{2}$