Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
200201	Solve for x	b-x/10=a	$b - \frac{x}{10} = a$
200202	Simplify	( square root of 2-i square root of 2)( square root of 2+i square root of 2)	$(\sqrt{2} - i \sqrt{2}) (\sqrt{2} + i \sqrt{2})$
200203	Simplify	(( square root of 63+ square root of 112)* square root of 28)/42	$\frac{(\sqrt{63} + \sqrt{112}) \cdot \sqrt{28}}{42}$
200204	Write the Fraction in Simplest Form	(2^-4)/(4^0)	$\frac{2^{- 4}}{4^{0}}$
200205	Solve for d	-6+d=7+3d+3	$- 6 + d = 7 + 3 d + 3$
200206	Simplify	(-3^-2)/(4^-1)	$\frac{- 3^{- 2}}{4^{- 1}}$
200207	Simplify	- square root of -25x^12y^8	$- \sqrt{- 25 x^{12} y^{8}}$
200208	Graph	y>x+3 y<3x-2	$y > x + 3$ $y < 3 x - 2$
200209	Solve for n	-9n-10=5n+8+10	$- 9 n - 10 = 5 n + 8 + 10$
200210	Find the Roots (Zeros)	x^3+x^2-22x-40=(x+2)(x+4)(x-5)	$x^{3} + x^{2} - 22 x - 40 = (x + 2) (x + 4) (x - 5)$
200211	Find the Domain and Range	g(x)=- cube root of 2x	$g (x) = - \sqrt[3]{2 x}$
200212	Simplify	2ab^2 square root of (200a^2b^5c^11)/(c^11)	$2 a b^{2} \sqrt{\frac{200 a^{2} b^{5} c^{11}}{c^{11}}}$
200213	Graph	2y+6>4x	$2 y + 6 > 4 x$
200214	Solve for c	8(c+10)=9c	$8 (c + 10) = 9 c$
200215	Evaluate	cube root of square root of 64	$\sqrt[3]{\sqrt[2]{64}}$
200216	Solve for y	3y(4y-1)-2y(6y-5)=9y-8(3+y)	$3 y (4 y - 1) - 2 y (6 y - 5) = 9 y - 8 (3 + y)$
200217	Simplify	8z+x-5-9z+2	$8 z + x - 5 - 9 z + 2$
200218	Convert to Polar	y^2-8x-16=0	$y^{2} - 8 x - 16 = 0$
200219	Expand the Logarithmic Expression	natural log of 1/( square root of 7x-3)	$\ln (\frac{1}{\sqrt{7 x - 3}})$
200220	Find the Exact Value	sec(-420 degrees )	$\sec (- 420 °)$
200221	Solve for X	\|X/(X-1)\|=4/X	$\| \frac{X}{X - 1} \| = \frac{4}{X}$
200222	Solve for X	X^2+3X=18	$X^{2} + 3 X = 18$
200223	Solve the Inequality for x	cube root of x-4<=5	$\sqrt[3]{x - 4} \leq 5$
200224	Simplify	(c^3)^2(-3c^5)^2	${(c^{3})}^{2} {(- 3 c^{5})}^{2}$
200225	Solve for z	-7(7z-1)=7-4z	$- 7 (7 z - 1) = 7 - 4 z$
200226	Simplify	(-5^8)/(-5^4)	$\frac{- 5^{8}}{- 5^{4}}$
200227	Simplify the Radical Expression	( square root of 5)^2	${(\sqrt{5})}^{2}$
200228	Solve the Inequality for v	-6v>-72	$- 6 v > - 72$
200229	Solve for z	-7+3z=-2z+5+8z	$- 7 + 3 z = - 2 z + 5 + 8 z$
200230	Factor	-mk-nk	$- m k - n k$
200231	Solve for m	-10-4m=-3m	$- 10 - 4 m = - 3 m$
200232	Solve for v	p=iv	$p = i v$
200233	Simplify	((q^-1r^3)/(qr^-2))^-5	${(\frac{q^{- 1} r^{3}}{q r^{- 2}})}^{- 5}$
200234	Solve for q	0.5(2q+1)=0.75q	$0.5 (2 q + 1) = 0.75 q$
200235	Simplify	(3/2a^2-2ab+2/3b^2)/(1/4a^2-1/9b^2)+(6b)/(3/4a+1/2b)	$\frac{\frac{3}{2} a^{2} - 2 a b + \frac{2}{3} b^{2}}{\frac{1}{4} a^{2} - \frac{1}{9} b^{2}} + \frac{6 b}{\frac{3}{4} a + \frac{1}{2} b}$
200236	Find the Exact Value	arcsin((11pi)/2)	$\arcsin (\frac{11 π}{2})$
200237	Solve the Inequality for r	13>18+r	$13 > 18 + r$
200238	Solve by Substitution	x=y-1 -x+y=-1	$x = y - 1$ $- x + y = - 1$
200239	Simplify	- square root of 81a^16b^20c^12	$- \sqrt{81 a^{16} b^{20} c^{12}}$
200240	Simplify	((6^(1/5))/(6^(2/5)))^3	${(\frac{6^{\frac{1}{5}}}{6^{\frac{2}{5}}})}^{3}$
200241	Simplify	((2r^3t^6)/(5u^9))^4	${(\frac{2 r^{3} t^{6}}{5 u^{9}})}^{4}$
200242	Simplify	(a+b)(2a+3b)(2x-y)	$(a + b) (2 a + 3 b) (2 x - y)$
200243	Simplify the Radical Expression	cube root of 27/64	$\sqrt[3]{\frac{27}{64}}$
200244	Evaluate	10^(4x+1)>=100^(x-2)	$10^{4 x + 1} \geq 100^{x - 2}$
200245	Solve the Inequality for z	z+4>=2z	$z + 4 \geq 2 z$
200246	Solve for x	3 cube root of x+4 = cube root of 2x-17	$3 \sqrt[3]{x + 4} = \sqrt[3]{2 x - 17}$
200247	Simplify	(m^5np)/(m^4p)	$\frac{m^{5} n p}{m^{4} p}$
200248	Evaluate	y=-4(5)^2	$y = - 4 {(5)}^{2}$
200249	Simplify	(4ab)/(cx+dx)*(ax+bx)/(2ab)	$\frac{4 a b}{c x + d x} \cdot \frac{a x + b x}{2 a b}$
200250	Simplify	(-8)(2/3)	$(- 8) (\frac{2}{3})$
200251	Simplify	(32/1024)^(1/5)	${(\frac{32}{1024})}^{\frac{1}{5}}$
200252	Simplify	((2y^4)/(y^3))^-2	${(\frac{2 y^{4}}{y^{3}})}^{- 2}$
200253	Write Using Positive Exponents	(p^-8)/(7^-2q^-9)	$\frac{p^{- 8}}{7^{- 2} q^{- 9}}$
200254	Solve for x	(2x+3)^(3/4)-3=5	${(2 x + 3)}^{\frac{3}{4}} - 3 = 5$
200255	Simplify	5 square root of 2x*3 square root of 8x	$5 \sqrt{2 x} \cdot 3 \sqrt{8 x}$
200256	Simplify	(3+ square root of 8)/(2-2 square root of 8)	$\frac{3 + \sqrt{8}}{2 - 2 \sqrt{8}}$
200257	Solve for x	x^2-y^2=0	$x^{2} - y^{2} = 0$
200258	Evaluate	11-3*2+2^3+90÷6	$11 - 3 \times 2 + 2^{3} + 90 \div 6$
200259	Simplify/Condense	cos(theta)+sin(theta)*tan(theta)	$\cos (θ) + \sin (θ) \cdot \tan (θ)$
200260	Simplify	square root of a^3* cube root of a	$\sqrt{a^{3}} \cdot \sqrt[3]{a}$
200261	Graph	y=(x+1)(x^2+3x+2)	$y = (x + 1) (x^{2} + 3 x + 2)$
200262	Solve for s	2-2s=3/4s+14	$2 - 2 s = \frac{3}{4} s + 14$
200263	Simplify	(sec(theta)^2-tan(theta)^2)/(sin(theta))	$\frac{\sec^{2} (θ) - \tan^{2} (θ)}{\sin (θ)}$
200264	Solve for r	7r=7(2r+9)	$7 r = 7 (2 r + 9)$
200265	Simplify	((6x^2)/(5y))÷((3x)/(10y^2))	$\frac{6 x^{2}}{5 y} \div \frac{3 x}{10 y^{2}}$
200266	Simplify	(4+ square root of 6)/( square root of 2+ square root of 3)	$\frac{4 + \sqrt{6}}{\sqrt{2} + \sqrt{3}}$
200267	Solve for p	-6+p+9=8-4p	$- 6 + p + 9 = 8 - 4 p$
200268	Write in Exponential Form	10 root of 3^5	$\sqrt[10]{3^{5}}$
200269	Simplify	5/(4 square root of -2)	$\frac{5}{4 \sqrt{- 2}}$
200270	Simplify the Radical Expression	square root of 8y+5 square root of 50y-2 square root of 18y	$\sqrt{8 y} + 5 \sqrt{50 y} - 2 \sqrt{18 y}$
200271	Evaluate the Function	g(x)=x^2(x+4) at x=t+6	$g (x) = x^{2} (x + 4)$ at $x = t + 6$
200272	Find the Intersection	y>3x-5 y>-x+2	$y > 3 x - 5$ $y > - x + 2$
200273	Evaluate	81*(9/2)^-2	$81 \cdot {(\frac{9}{2})}^{- 2}$
200274	Solve for b	9b^2+0.27b=0	$9 b^{2} + 0.27 b = 0$
200275	Solve for x	3/x+2=4/(5x)	$\frac{3}{x} + 2 = \frac{4}{5 x}$
200276	Simplify the Radical Expression	3 square root of 49x^9y^16	$3 \sqrt{49 x^{9} y^{16}}$
200277	Solve for x	x+4y=5 3x-4y=17	$x + 4 y = 5$ $3 x - 4 y = 17$
200278	Solve for R	E=IR	$E = I R$
200279	Solve for n	1/2(n+4)=6	$\frac{1}{2} (n + 4) = 6$
200280	Find the Reciprocal	( square root of 2)/2-( square root of 2i)/2	$\frac{\sqrt{2}}{2} - \frac{\sqrt{2} i}{2}$
200281	Find All Complex Solutions	-2sin(theta)^2+cos(theta)+1=0	$- 2 \sin^{2} (θ) + \cos (θ) + 1 = 0$
200282	Simplify	((4ab^2)/(5ab))^2	${(\frac{4 a b^{2}}{5 a b})}^{2}$
200283	Find the Axis of Symmetry	x=1/2y^2+2y+11	$x = \frac{1}{2} y^{2} + 2 y + 11$
200284	Subtract	square root of 7-3 square root of 7	$\sqrt{7} - 3 \sqrt{7}$
200285	Simplify	- square root of (2x+1)^6	$- \sqrt{{(2 x + 1)}^{6}}$
200286	Find the Exact Value	12tan(pi/6)^2+24sec(pi/3)^2	$12 \tan^{2} (\frac{π}{6}) + 24 \sec^{2} (\frac{π}{3})$
200287	Evaluate	(3.6-1 1/8÷(3/4))*15	$(3.6 - 1 \frac{1}{8} \div \frac{3}{4}) \cdot 15$
200288	Simplify	square root of 6*(2 square root of 3- square root of 2+ square root of 12)	$\sqrt{6} \cdot (2 \sqrt{3} - \sqrt{2} + \sqrt{12})$
200289	Solve for x	-201=-3+6(-6x-3)	$- 201 = - 3 + 6 (- 6 x - 3)$
200290	Convert to Polar	xy=x+y	$x y = x + y$
200291	Write in Standard Form	x+3y^2+12y=18	$x + 3 y^{2} + 12 y = 18$
200292	Solve for d	-2d-8=8+8+4d	$- 2 d - 8 = 8 + 8 + 4 d$
200293	Factor	4ax^3+8a^2x^2-12a^3x	$4 a x^{3} + 8 a^{2} x^{2} - 12 a^{3} x$
200294	Solve the Inequality for x	3^(5x-1)<=27^(x+3)	$3^{5 x - 1} \leq 27^{x + 3}$
200295	Solve for x	square root of 19-3x-1=3x	$\sqrt{19 - 3 x} - 1 = 3 x$
200296	Simplify	fourth root of xy^4	$\sqrt[4]{x y^{4}}$
200297	Simplify the Radical Expression	fourth root of 256(5x-2)^12	$\sqrt[4]{256 {(5 x - 2)}^{12}}$
200298	Solve for R	P=(R-C)/N	$P = \frac{R - C}{N}$
200299	Solve for x	(6x)/27=43	$\frac{6 x}{27} = 43$
200300	Simplify	-4^0b^-4	$- 4^{0} b^{- 4}$