Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
200201	Solve for y	3y(4y-1)-2y(6y-5)=9y-8(3+y)	$3 y (4 y - 1) - 2 y (6 y - 5) = 9 y - 8 (3 + y)$
200202	Simplify	8z+x-5-9z+2	$8 z + x - 5 - 9 z + 2$
200203	Convert to Polar	y^2-8x-16=0	$y^{2} - 8 x - 16 = 0$
200204	Expand the Logarithmic Expression	natural log of 1/( square root of 7x-3)	$\ln (\frac{1}{\sqrt{7 x - 3}})$
200205	Find the Exact Value	sec(-420 degrees )	$\sec (- 420 °)$
200206	Solve for X	\|X/(X-1)\|=4/X	$\| \frac{X}{X - 1} \| = \frac{4}{X}$
200207	Solve for X	X^2+3X=18	$X^{2} + 3 X = 18$
200208	Solve the Inequality for x	cube root of x-4<=5	$\sqrt[3]{x - 4} \leq 5$
200209	Simplify	(c^3)^2(-3c^5)^2	${(c^{3})}^{2} {(- 3 c^{5})}^{2}$
200210	Solve for z	-7(7z-1)=7-4z	$- 7 (7 z - 1) = 7 - 4 z$
200211	Simplify	(-5^8)/(-5^4)	$\frac{- 5^{8}}{- 5^{4}}$
200212	Simplify the Radical Expression	( square root of 5)^2	${(\sqrt{5})}^{2}$
200213	Solve the Inequality for v	-6v>-72	$- 6 v > - 72$
200214	Solve for z	-7+3z=-2z+5+8z	$- 7 + 3 z = - 2 z + 5 + 8 z$
200215	Factor	-mk-nk	$- m k - n k$
200216	Solve for m	-10-4m=-3m	$- 10 - 4 m = - 3 m$
200217	Solve for v	p=iv	$p = i v$
200218	Simplify	((q^-1r^3)/(qr^-2))^-5	${(\frac{q^{- 1} r^{3}}{q r^{- 2}})}^{- 5}$
200219	Solve for q	0.5(2q+1)=0.75q	$0.5 (2 q + 1) = 0.75 q$
200220	Simplify	(3/2a^2-2ab+2/3b^2)/(1/4a^2-1/9b^2)+(6b)/(3/4a+1/2b)	$\frac{\frac{3}{2} a^{2} - 2 a b + \frac{2}{3} b^{2}}{\frac{1}{4} a^{2} - \frac{1}{9} b^{2}} + \frac{6 b}{\frac{3}{4} a + \frac{1}{2} b}$
200221	Find the Exact Value	arcsin((11pi)/2)	$\arcsin (\frac{11 π}{2})$
200222	Solve the Inequality for r	13>18+r	$13 > 18 + r$
200223	Solve by Substitution	x=y-1 -x+y=-1	$x = y - 1$ $- x + y = - 1$
200224	Simplify	- square root of 81a^16b^20c^12	$- \sqrt{81 a^{16} b^{20} c^{12}}$
200225	Simplify	((6^(1/5))/(6^(2/5)))^3	${(\frac{6^{\frac{1}{5}}}{6^{\frac{2}{5}}})}^{3}$
200226	Simplify	((2r^3t^6)/(5u^9))^4	${(\frac{2 r^{3} t^{6}}{5 u^{9}})}^{4}$
200227	Simplify	(a+b)(2a+3b)(2x-y)	$(a + b) (2 a + 3 b) (2 x - y)$
200228	Simplify the Radical Expression	cube root of 27/64	$\sqrt[3]{\frac{27}{64}}$
200229	Evaluate	10^(4x+1)>=100^(x-2)	$10^{4 x + 1} \geq 100^{x - 2}$
200230	Solve the Inequality for z	z+4>=2z	$z + 4 \geq 2 z$
200231	Solve for x	3 cube root of x+4 = cube root of 2x-17	$3 \sqrt[3]{x + 4} = \sqrt[3]{2 x - 17}$
200232	Simplify	(m^5np)/(m^4p)	$\frac{m^{5} n p}{m^{4} p}$
200233	Evaluate	y=-4(5)^2	$y = - 4 {(5)}^{2}$
200234	Simplify	(4ab)/(cx+dx)*(ax+bx)/(2ab)	$\frac{4 a b}{c x + d x} \cdot \frac{a x + b x}{2 a b}$
200235	Simplify	(-8)(2/3)	$(- 8) (\frac{2}{3})$
200236	Simplify	(32/1024)^(1/5)	${(\frac{32}{1024})}^{\frac{1}{5}}$
200237	Simplify	((2y^4)/(y^3))^-2	${(\frac{2 y^{4}}{y^{3}})}^{- 2}$
200238	Write Using Positive Exponents	(p^-8)/(7^-2q^-9)	$\frac{p^{- 8}}{7^{- 2} q^{- 9}}$
200239	Solve for x	(2x+3)^(3/4)-3=5	${(2 x + 3)}^{\frac{3}{4}} - 3 = 5$
200240	Simplify	5 square root of 2x*3 square root of 8x	$5 \sqrt{2 x} \cdot 3 \sqrt{8 x}$
200241	Simplify	(3+ square root of 8)/(2-2 square root of 8)	$\frac{3 + \sqrt{8}}{2 - 2 \sqrt{8}}$
200242	Solve for x	x^2-y^2=0	$x^{2} - y^{2} = 0$
200243	Evaluate	11-3*2+2^3+90÷6	$11 - 3 \times 2 + 2^{3} + 90 \div 6$
200244	Simplify/Condense	cos(theta)+sin(theta)*tan(theta)	$\cos (θ) + \sin (θ) \cdot \tan (θ)$
200245	Simplify	square root of a^3* cube root of a	$\sqrt{a^{3}} \cdot \sqrt[3]{a}$
200246	Graph	y=(x+1)(x^2+3x+2)	$y = (x + 1) (x^{2} + 3 x + 2)$
200247	Solve for s	2-2s=3/4s+14	$2 - 2 s = \frac{3}{4} s + 14$
200248	Simplify	(sec(theta)^2-tan(theta)^2)/(sin(theta))	$\frac{\sec^{2} (θ) - \tan^{2} (θ)}{\sin (θ)}$
200249	Solve for r	7r=7(2r+9)	$7 r = 7 (2 r + 9)$
200250	Simplify	((6x^2)/(5y))÷((3x)/(10y^2))	$\frac{6 x^{2}}{5 y} \div \frac{3 x}{10 y^{2}}$
200251	Simplify	(4+ square root of 6)/( square root of 2+ square root of 3)	$\frac{4 + \sqrt{6}}{\sqrt{2} + \sqrt{3}}$
200252	Solve for p	-6+p+9=8-4p	$- 6 + p + 9 = 8 - 4 p$
200253	Write in Exponential Form	10 root of 3^5	$\sqrt[10]{3^{5}}$
200254	Simplify	5/(4 square root of -2)	$\frac{5}{4 \sqrt{- 2}}$
200255	Simplify the Radical Expression	square root of 8y+5 square root of 50y-2 square root of 18y	$\sqrt{8 y} + 5 \sqrt{50 y} - 2 \sqrt{18 y}$
200256	Evaluate the Function	g(x)=x^2(x+4) at x=t+6	$g (x) = x^{2} (x + 4)$ at $x = t + 6$
200257	Find the Intersection	y>3x-5 y>-x+2	$y > 3 x - 5$ $y > - x + 2$
200258	Evaluate	81*(9/2)^-2	$81 \cdot {(\frac{9}{2})}^{- 2}$
200259	Solve for b	9b^2+0.27b=0	$9 b^{2} + 0.27 b = 0$
200260	Solve for x	3/x+2=4/(5x)	$\frac{3}{x} + 2 = \frac{4}{5 x}$
200261	Simplify the Radical Expression	3 square root of 49x^9y^16	$3 \sqrt{49 x^{9} y^{16}}$
200262	Solve for x	x+4y=5 3x-4y=17	$x + 4 y = 5$ $3 x - 4 y = 17$
200263	Solve for R	E=IR	$E = I R$
200264	Solve for n	1/2(n+4)=6	$\frac{1}{2} (n + 4) = 6$
200265	Find the Reciprocal	( square root of 2)/2-( square root of 2i)/2	$\frac{\sqrt{2}}{2} - \frac{\sqrt{2} i}{2}$
200266	Find All Complex Solutions	-2sin(theta)^2+cos(theta)+1=0	$- 2 \sin^{2} (θ) + \cos (θ) + 1 = 0$
200267	Simplify	((4ab^2)/(5ab))^2	${(\frac{4 a b^{2}}{5 a b})}^{2}$
200268	Find the Axis of Symmetry	x=1/2y^2+2y+11	$x = \frac{1}{2} y^{2} + 2 y + 11$
200269	Subtract	square root of 7-3 square root of 7	$\sqrt{7} - 3 \sqrt{7}$
200270	Simplify	- square root of (2x+1)^6	$- \sqrt{{(2 x + 1)}^{6}}$
200271	Find the Exact Value	12tan(pi/6)^2+24sec(pi/3)^2	$12 \tan^{2} (\frac{π}{6}) + 24 \sec^{2} (\frac{π}{3})$
200272	Evaluate	(3.6-1 1/8÷(3/4))*15	$(3.6 - 1 \frac{1}{8} \div \frac{3}{4}) \cdot 15$
200273	Simplify	square root of 6*(2 square root of 3- square root of 2+ square root of 12)	$\sqrt{6} \cdot (2 \sqrt{3} - \sqrt{2} + \sqrt{12})$
200274	Solve for x	-201=-3+6(-6x-3)	$- 201 = - 3 + 6 (- 6 x - 3)$
200275	Convert to Polar	xy=x+y	$x y = x + y$
200276	Write in Standard Form	x+3y^2+12y=18	$x + 3 y^{2} + 12 y = 18$
200277	Solve for d	-2d-8=8+8+4d	$- 2 d - 8 = 8 + 8 + 4 d$
200278	Factor	4ax^3+8a^2x^2-12a^3x	$4 a x^{3} + 8 a^{2} x^{2} - 12 a^{3} x$
200279	Solve the Inequality for x	3^(5x-1)<=27^(x+3)	$3^{5 x - 1} \leq 27^{x + 3}$
200280	Solve for x	square root of 19-3x-1=3x	$\sqrt{19 - 3 x} - 1 = 3 x$
200281	Simplify	fourth root of xy^4	$\sqrt[4]{x y^{4}}$
200282	Simplify the Radical Expression	fourth root of 256(5x-2)^12	$\sqrt[4]{256 {(5 x - 2)}^{12}}$
200283	Solve for R	P=(R-C)/N	$P = \frac{R - C}{N}$
200284	Solve for x	(6x)/27=43	$\frac{6 x}{27} = 43$
200285	Simplify	-4^0b^-4	$- 4^{0} b^{- 4}$
200286	Write in Exponential Form	sixth root of 3^2	$\sqrt[6]{3^{2}}$
200287	Write the Fraction in Simplest Form	(8a^-3)^(-2/3)	${(8 a^{- 3})}^{- \frac{2}{3}}$
200288	Solve for x	3+9/4=9/(x+4)	$3 + \frac{9}{4} = \frac{9}{x + 4}$
200289	Solve for y	12(5+2y)=4y-(5-9y)	$12 (5 + 2 y) = 4 y - (5 - 9 y)$
200290	Simplify	(28n+40)/(35n+50)*(12n+24)/(8n+16)	$\frac{28 n + 40}{35 n + 50} \cdot \frac{12 n + 24}{8 n + 16}$
200291	Simplify/Condense	sin(theta)+cos(theta)*cot(theta)	$\sin (θ) + \cos (θ) \cdot \cot (θ)$
200292	Simplify	(x^(1/2)y^-3)^(1/2)	${(x^{\frac{1}{2}} y^{- 3})}^{\frac{1}{2}}$
200293	Solve for x	10^(2x)=0.1	$10^{2 x} = 0.1$
200294	Evaluate	((8)(2))+(-6)	$((8) (2)) + (- 6)$
200295	Divide	(1/4m^4-2/3m^3n+3/8m^2n^2)÷(1/4m^2)	$(\frac{1}{4} m^{4} - \frac{2}{3} m^{3} n + \frac{3}{8} m^{2} n^{2}) \div (\frac{1}{4} m^{2})$
200296	Write in Exponential Form	n root of a^n	$\sqrt[n]{a^{n}}$
200297	Solve for x	-5126=-6-5(3x+22)^(5/3)	$- 5126 = - 6 - 5 {(3 x + 22)}^{\frac{5}{3}}$
200298	Solve the System of Equations	-3x-4y+z=-1 2x+y-z=-8 x+8y-z=23	$- 3 x - 4 y + z = - 1$ $2 x + y - z = - 8$ $x + 8 y - z = 23$
200299	Evaluate	( square root of 3- square root of 6+ square root of 12- square root of 24)*( square root of 6)/2	$(\sqrt{3} - \sqrt{6} + \sqrt{12} - \sqrt{24}) \cdot \frac{\sqrt{6}}{2}$
200300	Simplify	4/(x-y)-7/(y-x)	$\frac{4}{x - y} - \frac{7}{y - x}$