Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
225101	Simplify	2+5i-4-2i-i-3	$2 + 5 i - 4 - 2 i - i - 3$
225102	Solve for x	fourth root of 3x+3 = fourth root of 2x-7	$\sqrt[4]{3 x + 3} = \sqrt[4]{2 x - 7}$
225103	Graph	3*(1/2)^x	$3 \cdot {(\frac{1}{2})}^{x}$
225104	Solve for x	(x^3+3x^2)/(x^2-2x-15)=(4x+5)/(x-5)	$\frac{x^{3} + 3 x^{2}}{x^{2} - 2 x - 15} = \frac{4 x + 5}{x - 5}$
225105	Find the Roots (Zeros)	x^5+7x^4=18x^3	$x^{5} + 7 x^{4} = 18 x^{3}$
225106	Divide Using Synthetic Division	(2x^3+x^2+x-4)/(x-1)	$\frac{2 x^{3} + x^{2} + x - 4}{x - 1}$
225107	Simplify	(x^3+x^2y+xy^2+y^3)/(x^2+2xy+y^2)+(2xy)/(x+y)	$\frac{(x^{3} + x^{2} y + x y^{2} + y^{3})}{x^{2} + 2 x y + y^{2}} + \frac{2 x y}{x + y}$
225108	Solve the Rational Equation for x	6- square root of x-2=x+4	$6 - \sqrt{x - 2} = x + 4$
225109	Simplify the Radical Expression	(x^(1/2)y^-3)^(1/2)	${(x^{\frac{1}{2}} y^{- 3})}^{\frac{1}{2}}$
225110	Write in Standard Form	-1/2x=y+3	$- \frac{1}{2} x = y + 3$
225111	Simplify	(-2^6)/(4^3)	$\frac{- 2^{6}}{4^{3}}$
225112	Multiply	(2x^3+3x^2+10x)(8x^4)	$(2 x^{3} + 3 x^{2} + 10 x) (8 x^{4})$
225113	Solve for x	1=cot(x)^2+csc(x)	$1 = \cot^{2} (x) + \csc (x)$
225114	Find the Exact Value	3(cos(45 degrees )^2-sin(90 degrees )^2)	$3 (\cos^{2} (45 °) - \sin^{2} (90 °))$
225115	Find the Equation Given the Roots	( plus or minus 4)i	$(\pm 4) i$
225116	Solve by Graphing	x+2y=-2 y=-1/3x	$x + 2 y = - 2$ $y = - \frac{1}{3} x$
225117	Graph	f(x)=1/8(1/4)^(x-2)	$f (x) = \frac{1}{8} {(\frac{1}{4})}^{x - 2}$
225118	Find the Product	-3y^2z^2*(-2yz^2-3z)	$- 3 y^{2} z^{2} \cdot (- 2 y z^{2} - 3 z)$
225119	Simplify	((x^2-8x+15)/(x^2+4x))÷(x^2-x-20)	$\frac{x^{2} - 8 x + 15}{x^{2} + 4 x} \div (x^{2} - x - 20)$
225120	Solve the Inequality for x	\|(x-1)/(3x-6)\|=(1-x)/(3x-6)	$\| \frac{x - 1}{3 x - 6} \| = \frac{1 - x}{3 x - 6}$
225121	Solve the System of Inequalities	0<x<=3	$0 < x \leq 3$
225122	Simplify	square root of 3(- square root of 10+5)	$\sqrt{3} (- \sqrt{10} + 5)$
225123	Solve for n	1/2(-3/2n+1)=3/4-n	$\frac{1}{2} (- \frac{3}{2} n + 1) = \frac{3}{4} - n$
225124	Find the Excluded Values	((x+3)/(x^2+8x+15))÷((x^2-25)/(x-5))	$\frac{x + 3}{x^{2} + 8 x + 15} \div \frac{x^{2} - 25}{x - 5}$
225125	Solve for u	-2 2/5+u=1 1/3	$- 2 \frac{2}{5} + u = 1 \frac{1}{3}$
225126	Simplify	square root of -5 square root of -5	$\sqrt{- 5 \sqrt{- 5}}$
225127	Simplify	2y-y+7-1+3+7x^2-4y	$2 y - y + 7 - 1 + 3 + 7 x^{2} - 4 y$
225128	Solve for u	9+24u^-2=58u^-1	$9 + 24 u^{- 2} = 58 u^{- 1}$
225129	Simplify	(-xy)^2(2x^9y^5)^4	${(- x y)}^{2} {(2 x^{9} y^{5})}^{4}$
225130	Simplify	(2^-3)/(2^-2)*2^6	$\frac{2^{- 3}}{2^{- 2}} \cdot 2^{6}$
225131	Determine if a Polynomial	(x^3+1)/x	$\frac{x^{3} + 1}{x}$
225132	Simplify	(x+9)-(2x-3)^2	$(x + 9) - {(2 x - 3)}^{2}$
225133	Simplify	3x+6(2x-y)-(32-x)	$3 x + 6 (2 x - y) - (32 - x)$
225134	Solve for y	square root of y+2 = square root of 2y+5	$\sqrt{y + 2} = \sqrt{2 y + 5}$
225135	Solve for y	5y=7/3y+8	$5 y = \frac{7}{3} y + 8$
225136	Simplify the Radical Expression	square root of (7x)/(10y^3)	$\sqrt{\frac{7 x}{10 y^{3}}}$
225137	Find the Product	(-4a+b)(4a+b)	$(- 4 a + b) (4 a + b)$
225138	Factor	y^2+(1/y)^2+2-5y-5/y	$y^{2} + {(\frac{1}{y})}^{2} + 2 - 5 y - \frac{5}{y}$
225139	Convert to a Decimal	900deg	$900$ degrees
225140	Evaluate	sixth root of (g^6h)/(h^7)	$\sqrt[6]{\frac{g^{6} h}{h^{7}}}$
225141	Simplify	square root of square root of t^5	$\sqrt{\sqrt{t^{5}}}$
225142	Subtract	(x-1)/(x^2+x-6)-(x-2)/(x^2+4x+3)	$\frac{x - 1}{x^{2} + x - 6} - \frac{x - 2}{x^{2} + 4 x + 3}$
225143	Find the Degree	7x+3x+5	$7 x + 3 x + 5$
225144	Solve by Graphing	y=2x-3 4x=2y+6	$y = 2 x - 3$ $4 x = 2 y + 6$
225145	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (4,-4) and has a slope of -3/4 ?	What is the equation of the line that passes through the point $(4, - 4)$ and has a slope of $- \frac{3}{4}$ ?
225146	Simplify	(x^2)/(4/5-4/x)	$\frac{x^{2}}{\frac{4}{5} - \frac{4}{x}}$
225147	Write the Fraction in Simplest Form	((3d^3z)^-3)/(5d^-3z^4)	$\frac{{(3 d^{3} z)}^{- 3}}{5 d^{- 3} z^{4}}$
225148	Simplify	(4b^3-6b^2-b)÷(-4b)	$(4 b^{3} - 6 b^{2} - b) \div (- 4 b)$
225149	Simplify	3/x-2-5/x	$\frac{3}{x} - 2 - \frac{5}{x}$
225150	Simplify the Radical Expression	(3+ square root of 3)/(4 square root of 12)	$\frac{3 + \sqrt{3}}{4 \sqrt{12}}$
225151	Subtract	square root of 18- square root of 12	$\sqrt{18} - \sqrt{12}$
225152	Solve for x	x+y+z=A	$x + y + z = A$
225153	Solve for s	0.75d=(s^2)/30.25	$0.75 d = \frac{s^{2}}{30.25}$
225154	Solve for x	6x=2 square root of 24x+17-8	$6 x = 2 \sqrt{24 x + 17} - 8$
225155	Simplify	2(ab+c)^2+3c(ab+c)-1	$2 {(a b + c)}^{2} + 3 c (a b + c) - 1$
225156	Combine Like Terms	12+3.4x-5.4x-x	$12 + 3.4 x - 5.4 x - x$
225157	Find the Equation Using Slope-Intercept Form	a=2 and b=-7	$a = 2$ and $b = - 7$
225158	Find the Domain and Range	y^2(x^2-4)=x+2	$y^{2} (x^{2} - 4) = x + 2$
225159	Find the Domain and Range	f(x)=-1/2 square root of x-3	$f (x) = - \frac{1}{2} \sqrt{x} - 3$
225160	Solve for A	A=1/2(3)^2((7pi)/8)	$A = \frac{1}{2} {(3)}^{2} (\frac{7 π}{8})$
225161	Graph	y>=-1/(3x)+2	$y \geq - \frac{1}{3 x} + 2$
225162	Solve the Inequality for y	1/4y>=8	$\frac{1}{4} y \geq 8$
225163	Solve for x	2/x-(2x+1)/(8x)=-7/8	$\frac{2}{x} - \frac{2 x + 1}{8 x} = \frac{- 7}{8}$
225164	Evaluate	2(-1)-3(-1)^(2/3)	$2 (- 1) - 3 {(- 1)}^{\frac{2}{3}}$
225165	Find All Complex Solutions	1-2/(x-3)=-12/(x^2-9)	$1 - \frac{2}{x - 3} = - \frac{12}{x^{2} - 9}$
225166	Solve the Rational Equation for a	( fifth root of x^2)/((x^2)^(1/5))=x^a	$\frac{\sqrt[5]{x^{2}}}{{(x^{2})}^{\frac{1}{5}}} = x^{a}$
225167	Find the Exact Value	5(43-6)	$5 (43 - 6)$
225168	Solve for n	9n-8+6n-7=180	$9 n - 8 + 6 n - 7 = 180$
225169	Evaluate	Evaluate (-9)^2*(-9)^2	Evaluate ${(- 9)}^{2} \cdot {(- 9)}^{2}$
225170	Find the Domain and Range	f(x)=(X-5)^2-3	$f (x) = {(X - 5)}^{2} - 3$
225171	Solve for x	(2x-6)/2+3=10	$\frac{2 x - 6}{2} + 3 = 10$
225172	Simplify	((20x-4x^2)/(2x^2+2x)*(x^2-100)/(x+10))÷((x^2-11x+10)/(x^2-1))	$\frac{20 x - 4 x^{2}}{2 x^{2} + 2 x} \cdot \frac{x^{2} - 100}{x + 10} \div \frac{x^{2} - 11 x + 10}{x^{2} - 1}$
225173	Solve for x	x^2-4nx+4m>0	$x^{2} - 4 n x + 4 m > 0$
225174	Find the Parallel Line	through: (-3,-3) ; parallel to y=7/3x+3	through: $(- 3, - 3)$ ; parallel to $y = \frac{7}{3} x + 3$
225175	Solve for m	6(m-2)+14=3(m+2)-10	$6 (m - 2) + 14 = 3 (m + 2) - 10$
225176	Write in Standard Form	(x^2-4x-4)(3x^2+x-1)	$(x^{2} - 4 x - 4) (3 x^{2} + x - 1)$
225177	Evaluate	(3/(x-1)-4)/(2-2/(x-1))	$\frac{\frac{3}{x - 1} - 4}{2 - \frac{2}{x - 1}}$
225178	Evaluate	(pi(2)^2)/2	$\frac{π {(2)}^{2}}{2}$
225179	Solve the System of Equations	-3x+y-3z=-9 x+3y-3z=3 7x-2y+3z=3	$- 3 x + y - 3 z = - 9$ $x + 3 y - 3 z = 3$ $7 x - 2 y + 3 z = 3$
225180	Solve by Addition/Elimination	3x-5y=-39 3y+7x=41	$3 x - 5 y = - 39$ $3 y + 7 x = 41$
225181	Rationalize the Denominator	-4/(3+ square root of 13)	$\frac{- 4}{3 + \sqrt{13}}$
225182	Evaluate	1/2+1/(2x)=(x^2-7x+10)/(4x)	$\frac{1}{2} + \frac{1}{2 x} = \frac{x^{2} - 7 x + 10}{4 x}$
225183	Simplify	(2z)/(z-1)-(3z)/(z+1)	$\frac{2 z}{z - 1} - \frac{3 z}{z + 1}$
225184	Solve the Inequality for x	cube root of x+5>=2	$\sqrt[3]{x + 5} \geq 2$
225185	Solve the Inequality for x	x+3<(2x+3)/-6	$x + 3 < \frac{2 x + 3}{- 6}$
225186	Evaluate	2 3/4+(1 1/2+3.8)	$2 \frac{3}{4} + (1 \frac{1}{2} + 3.8)$
225187	Simplify the Radical Expression	( square root of 9)/( square root of 25)	$\frac{\sqrt{9}}{\sqrt{25}}$
225188	Convert to Radical Form	(-1/(4d^2ef^3))^(-2/3)	${(\frac{- 1}{4 d^{2} e f^{3}})}^{- \frac{2}{3}}$
225189	Simplify	2u(6u^2-9uv+v^2)	$2 u (6 u^{2} - 9 u v + v^{2})$
225190	Find the Holes in the Graph	y=(x+2)/(x^2-4)	$y = \frac{x + 2}{x^{2} - 4}$
225191	Simplify	3/(9x^3-225x)(25-x^2)/(x^2-25)(x^2+5x)/(4x)	$\frac{3}{9 x^{3} - 225 x} \cdot \frac{25 - x^{2}}{x^{2} - 25} \cdot \frac{x^{2} + 5 x}{4 x}$
225192	Write in Standard Form	-2/3a+5/6a-1/6	$- \frac{2}{3} a + \frac{5}{6} a - \frac{1}{6}$
225193	Find the Roots (Zeros)	3x(x-4)(x+2/3)(x+9)	$3 x (x - 4) (x + \frac{2}{3}) (x + 9)$
225194	Divide Using Synthetic Division	(3x^2-4+x^3)÷(x-1)	$(3 x^{2} - 4 + x^{3}) \div (x - 1)$
225195	Simplify	(16bc-12cd)+(-8cd+6bc+4bd)	$(16 b c - 12 c d) + (- 8 c d + 6 b c + 4 b d)$
225196	Find the x and y Intercepts	y=(x+2)^2(x+1)(x-1)(x-2)^2	$y = {(x + 2)}^{2} (x + 1) (x - 1) {(x - 2)}^{2}$
225197	Solve the Inequality for n	30<-3n	$30 < - 3 n$
225198	Simplify	cube root of fifth root of 27	$\sqrt[3]{\sqrt[5]{27}}$
225199	Simplify the Radical Expression	-10x square root of 6x- square root of 24x^3	$- 10 x \sqrt{6 x} - \sqrt{24 x^{3}}$
225200	Graph	\|y\|<x^2-4x+3	$\| y \| < x^{2} - 4 x + 3$