Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
16201	Simplify	10-4 square root of 1/16	$10 - 4 \sqrt{\frac{1}{16}}$
16202	Solve Using the Quadratic Formula	2x^2+x-11=6x-8	$2 x^{2} + x - 11 = 6 x - 8$
16203	Rewrite the Cartesian Equation as a Polar Equation	y=x^2	$y = x^{2}$
16204	Simplify	(3 square root of 6)/( square root of -12)	$\frac{3 \sqrt{6}}{\sqrt{- 12}}$
16205	Solve for y	(8y-5)/y=(9y)/(y+2)	$\frac{8 y - 5}{y} = \frac{9 y}{y + 2}$
16206	Simplify	square root of 3a^2* square root of 2a^3	$\sqrt{3 a^{2}} \cdot \sqrt{2 a^{3}}$
16207	Simplify	(e^(5x))/(e^(-2x))	$\frac{e^{5 x}}{e^{- 2 x}}$
16208	Solve for x	2+4/3x=x-1/3	$2 + \frac{4}{3} x = x - \frac{1}{3}$
16209	Simplify	(x+6)/3-(x+2)/3	$\frac{x + 6}{3} - \frac{x + 2}{3}$
16210	Write the Fraction in Simplest Form	(20a^-5w^-8)/(-5(a^-5w^-1)^-4)	$\frac{20 a^{- 5} w^{- 8}}{- 5 {(a^{- 5} w^{- 1})}^{- 4}}$
16211	Find the Cosecant Given the Point	((2 square root of 5)/5,-( square root of 5)/5)	$(\frac{2 \sqrt{5}}{5}, - \frac{\sqrt{5}}{5})$
16212	Find the Exact Value	tan(155 degrees +35 degrees )	$\tan (155 ° + 35 °)$
16213	Subtract	square root of 3-2 square root of 3	$\sqrt{3} - 2 \sqrt{3}$
16214	Simplify	( square root of q^3)/( sixth root of q)	$\frac{\sqrt{q^{3}}}{\sqrt[6]{q}}$
16215	Solve the Rational Equation for x	7-2/x=4+10/x	$7 - \frac{2}{x} = 4 + \frac{10}{x}$
16216	Simplify	25/(a+5)-(a^2)/(a+5)	$\frac{25}{a + 5} - \frac{a^{2}}{a + 5}$
16217	Evaluate	4x^-4*1/2x^2	$4 x^{- 4} \cdot \frac{1}{2} x^{2}$
16218	Multiply	1/2*2/( square root of 3)	$\frac{1}{2} \cdot \frac{2}{\sqrt{3}}$
16219	Evaluate the Integral	integral from 0 to 3 of (1/2x-1) with respect to x	$\int_{0}^{3} (\frac{1}{2} x - 1) d x$
16220	Factor	4(5x-8)^2+9(5x-8)(4x+9)	$4 {(5 x - 8)}^{2} + 9 (5 x - 8) (4 x + 9)$
16221	Solve the Inequality for y	y-5<9	$y - 5 < 9$
16222	Graph	y>=-2 y<=x-3	$y \geq - 2$ $y \leq x - 3$
16223	Solve the Inequality for x	x>1/x	$x > \frac{1}{x}$
16224	Solve for x	0=5(x+7)	$0 = 5 (x + 7)$
16225	Write in Standard Form	(2x^2-7x^3+8x)+(-8x^3-3x^2+4)	$(2 x^{2} - 7 x^{3} + 8 x) + (- 8 x^{3} - 3 x^{2} + 4)$
16226	Solve for x	1+1/(x-4)=(x+7)/(x^2-3x-4)	$1 + \frac{1}{x - 4} = \frac{x + 7}{x^{2} - 3 x - 4}$
16227	Evaluate	square root of 30*6 square root of 10	$\sqrt{30} \cdot 6 \sqrt{10}$
16228	Simplify	(3x)/(5(x+y))-(2y)/(3(x+y))	$\frac{3 x}{5 (x + y)} - \frac{2 y}{3 (x + y)}$
16229	Simplify	(4^x+2^x)/(2^x)	$\frac{4^{x} + 2^{x}}{2^{x}}$
16230	Solve for x	(8x-7)(x^2+4)=0	$(8 x - 7) (x^{2} + 4) = 0$
16231	Solve for x	2(6x-3)^(1/3)-4=0	$2 {(6 x - 3)}^{\frac{1}{3}} - 4 = 0$
16232	Integrate Using u-Substitution	integral of cos(2x) with respect to x	$\int \cos (2 x) d x$
16233	Simplify the Radical Expression	square root of 4x^2+2x+1/4	$\sqrt{4 x^{2} + 2 x + \frac{1}{4}}$
16234	Determine if Continuous	f(x)=(2x^2+5x-3)/(x+3)	$f (x) = \frac{2 x^{2} + 5 x - 3}{x + 3}$
16235	Simplify	2 3/4x-5/6(x-8 2/5)	$2 \frac{3}{4} x - \frac{5}{6} (x - 8 \frac{2}{5})$
16236	Verify the Identity	sin(x)^3=sin(x)-sin(x)cos(x)^2	$\sin^{3} (x) = \sin (x) - \sin (x) \cos^{2} (x)$
16237	Solve for x	3/(5x)=1/x+3/10	$\frac{3}{5 x} = \frac{1}{x} + \frac{3}{10}$
16238	Simplify	(4x+6)/2+3	$\frac{4 x + 6}{2} + 3$
16239	Evaluate Using the Given Value	Evaluate 4x when x=1/4	Evaluate $4 x$ when $x = \frac{1}{4}$
16240	Solve the Function Operation	Given that f(x)=x^2-13x+36 and g(x)=x-9 ; find (f+g)(x) and express the result in standard form.	Given that $f (x) = x^{2} - 13 x + 36$ and $g (x) = x - 9$ ; find $(f + g) (x)$ and express the result in standard form.
16241	Evaluate	square root of x+10-7=-5	$\sqrt{x + 10} - 7 = - 5$
16242	Determine if True	(1+sin(theta))/(1-sin(theta))-(1-sin(theta))/(1+sin(theta))=4sin(theta)sec(theta)^2	$\frac{1 + \sin (θ)}{1 - \sin (θ)} - \frac{1 - \sin (θ)}{1 + \sin (θ)} = 4 \sin (θ) \sec^{2} (θ)$
16243	Solve for x	-7/6+(x+1)/x=1/(6x)	$\frac{- 7}{6} + \frac{x + 1}{x} = \frac{1}{6 x}$
16244	Find the Roots (Zeros)	x^3+x^2-2=0	$x^{3} + x^{2} - 2 = 0$
16245	Find the Sum of the Series	40-10+2.5-0.625+...	$40 - 10 + 2.5 - 0.625 + \dots$
16246	Expand Using Sum/Difference Formulas	csc(90 degrees -theta)	$\csc (90 ° - θ)$
16247	Find the Second Derivative	y = fifth root of x/(x^2-1)	$y = \sqrt[5]{\frac{x}{x^{2} - 1}}$
16248	Solve for R	s=R-rR	$s = R - r R$
16249	Find the Product	(x-y)(x^2-xy+y^2)	$(x - y) (x^{2} - x y + y^{2})$
16250	Solve for a	(3a-2)/-3=a/3	$\frac{3 a - 2}{- 3} = \frac{a}{3}$
16251	Find the Third Derivative	y=x^5-2/(x^3)-4x+2	$y = x^{5} - \frac{2}{x^{3}} - 4 x + 2$
16252	Describe the Transformation	y=(1/3)^(x-1)	$y = {(\frac{1}{3})}^{x - 1}$
16253	Simplify	square root of 1/(4x)	$\sqrt{\frac{1}{4 x}}$
16254	Solve for x	log of x = log of 3- log of x-2	$\log (x) = \log (3) - \log (x - 2)$
16255	Find the x and y Intercepts	y=x(2x-3)(4x+1)	$y = x (2 x - 3) (4 x + 1)$
16256	Find the Derivative - d/dx	d/(dx)(arctan(3x))	$\frac{d}{d x} (\arctan (3 x))$
16257	Simplify	-4/(-1- square root of 17)	$\frac{- 4}{- 1 - \sqrt{17}}$
16258	Simplify	(9x^-6)/(7y^0z^-8)	$\frac{9 x^{- 6}}{7 y^{0} z^{- 8}}$
16259	Simplify	((2vu^3)/(u^2v^3*u^3v^2))^-5	${(\frac{2 v u^{3}}{u^{2} v^{3} \cdot u^{3} v^{2}})}^{- 5}$
16260	Evaluate the Function	F(1)=3	$F (1) = 3$
16261	Simplify	(3^3*2^3)/6	$\frac{3^{3} \cdot 2^{3}}{6}$
16262	Evaluate	4(y-3)+19=8(2y+3)+7	$4 (y - 3) + 19 = 8 (2 y + 3) + 7$
16263	Solve the Inequality for n	-15<3n<=6	$- 15 < 3 n \leq 6$
16264	Graph	x+3y^2+12y=18	$x + 3 y^{2} + 12 y = 18$
16265	Divide Using Synthetic Division	(2x^3-2)÷(x-5)	$(2 x^{3} - 2) \div (x - 5)$
16266	Simplify	(( square root of 5)/5+3/5i)^2	${(\frac{\sqrt{5}}{5} + \frac{3}{5} i)}^{2}$
16267	Solve the System of Inequalities	y<=1/4x+7 y<-5/2x-4	$y \leq \frac{1}{4} x + 7$ $y < - \frac{5}{2} x - 4$
16268	Find the Inverse	y=6^(x/4)	$y = 6^{\frac{x}{4}}$
16269	Simplify	6 square root of 3* square root of 3*4 square root of 4	$6 \sqrt{3} \cdot \sqrt{3} \cdot 4 \sqrt{4}$
16270	Solve the Function Operation	f(x)=x^2-7x+14 g(x)=4x-9 Find: (gof)(x)	$f (x) = x^{2} - 7 x + 14$ $g (x) = 4 x - 9$ Find: $((g \circ f)) (x)$
16271	Evaluate the Integral	integral from 0 to 6 of (x^2+x+1) with respect to x	$\int_{0}^{6} (x^{2} + x + 1) d x$
16272	Simplify	(2^-33^-5)(2^43^3)	$(2^{- 3} \cdot 3^{- 5}) (2^{4} \cdot 3^{3})$
16273	Simplify	( square root of 25)/(3 square root of 9)	$\frac{\sqrt{25}}{3 \sqrt{9}}$
16274	Simplify	( square root of 36x^5y^2)/(4x^(1/2)y^4)	$\frac{\sqrt{36 x^{5} y^{2}}}{4 x^{\frac{1}{2}} y^{4}}$
16275	Solve for x	-7/8=-1/6-3/10x	$- \frac{7}{8} = - \frac{1}{6} - \frac{3}{10} x$
16276	Graph	y=x^2 and y=x^2-8	$y = x^{2}$ and $y = x^{2} - 8$
16277	Find the Asymptotes	(9x^3+3x^2-2x)/(9x^2+3x-2)	$\frac{9 x^{3} + 3 x^{2} - 2 x}{9 x^{2} + 3 x - 2}$
16278	Find the Antiderivative	1+x	$1 + x$
16279	Solve the Inequality for b	b/6>14	$\frac{b}{6} > 14$
16280	Simplify the Radical Expression	limit as x approaches -2 of ( cube root of x-6+2)/(x^3+8)	$lim_{x \to - 2} \frac{\sqrt[3]{x - 6} + 2}{x^{3} + 8}$
16281	Find the Product	3xy^2*(2xy+3y^2-cx^3)	$3 x y^{2} \cdot (2 x y + 3 y^{2} - c x^{3})$
16282	Simplify	(4x^-1y^2)^2	${(4 x^{- 1} y^{2})}^{2}$
16283	Simplify	3/(x^2+x-2)+-5/(x^2-x-6)	$\frac{3}{x^{2} + x - 2} + \frac{- 5}{x^{2} - x - 6}$
16284	Evaluate	5e^(2x+11)=30	$5 e^{2 x + 11} = 30$
16285	Simplify	square root of 2( square root of 10+ square root of 4)	$\sqrt{2} (\sqrt{10} + \sqrt{4})$
16286	Solve the Absolute Value Inequality for x	(5\|2x-4\|)/4=10	$\frac{5 \| 2 x - 4 \|}{4} = 10$
16287	Find the Asymptotes	(2x^2-50)/(2x^2+x)	$\frac{2 x^{2} - 50}{2 x^{2} + x}$
16288	Simplify	4t(3rt-r)	$4 t (3 r t - r)$
16289	Find the Derivative - d/dx	3e^(x/3)	$3 e^{\frac{x}{3}}$
16290	Evaluate	(1/( cube root of -27))	$(\frac{1}{\sqrt[3]{- 27}})$
16291	Evaluate	1/4+1/x=1/5-3/x	$\frac{1}{4} + \frac{1}{x} = \frac{1}{5} - \frac{3}{x}$
16292	Solve the Inequality for x	-x^2-9x<3x+27	$- x^{2} - 9 x < 3 x + 27$
16293	Simplify	6/6 1/4	$\frac{6}{6 \frac{1}{4}}$
16294	Divide	(5-8i)/(3+2i)	$\frac{5 - 8 i}{3 + 2 i}$
16295	Solve the Inequality for x	6x-2-3x+9>16	$6 x - 2 - 3 x + 9 > 16$
16296	Solve the System of Equations	y=1/3x+2 x-3y=6	$y = \frac{1}{3} x + 2$ $x - 3 y = 6$
16297	Simplify	1/(512^(-1/3))	$\frac{1}{512^{- \frac{1}{3}}}$
16298	Solve the Inequality for x	(x^2+12x)/(x-3)>=4	$\frac{x^{2} + 12 x}{x - 3} \geq 4$
16299	Find the Cosecant Given the Point	(-1/3,(2 square root of 2)/3)	$(- \frac{1}{3}, \frac{2 \sqrt{2}}{3})$
16300	Solve the System of Equations	y=x^2 y=-2x+1	$y = x^{2}$ $y = - 2 x + 1$