Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
19201	Solve the System of Inequalities	2x+5<=-6 or 2x+5>=6	$2 x + 5 \leq - 6$ or $2 x + 5 \geq 6$
19202	Graph	graph -27x+18y=54	graph $- 27 x + 18 y = 54$
19203	Solve by Substitution	2m=n+3 n-3m=-8	$2 m = n + 3$ $n - 3 m = - 8$
19204	Evaluate	3(-5)^2-\|-2\|	$3 {(- 5)}^{2} - \| - 2 \|$
19205	Find the Other Trig Values in Quadrant III	cos(theta)=-0.8	$\cos (θ) = - 0.8$
19206	Find the Domain and Range	f^-1(x)=(x-3)/(1-x)	$f^{- 1} (x) = \frac{x - 3}{1 - x}$
19207	Simplify	43^2-3+52	$4 \cdot 3^{2} - 3 + 5 \cdot 2$
19208	Find the End Behavior	f(x)=X^7	$f (x) = X^{7}$
19209	Simplify	((3^6)/(3^4))^2x^-3x^4	${(\frac{3^{6}}{3^{4}})}^{2} \cdot x^{- 3} \cdot x^{4}$
19210	Find Trig Functions Using Identities	sin(theta)=(2 square root of 2)/3 , cos(theta)=-1/3	$\sin (θ) = \frac{2 \sqrt{2}}{3}$ , $\cos (θ) = - \frac{1}{3}$
19211	Evaluate	3(2pi)	$3 (2 π)$
19212	Simplify	(7j+1/8q+3)-(5/8q-11+2j)	$(7 j + \frac{1}{8} q + 3) - (\frac{5}{8} q - 11 + 2 j)$
19213	Solve the Rational Equation for x	25^x-12*5^x+27=0	$25^{x} - 12 \cdot 5^{x} + 27 = 0$
19214	Simplify	5 square root of 17+4 square root of 2- square root of 17-4 square root of 2	$5 \sqrt{17} + 4 \sqrt{2} - \sqrt{17} - 4 \sqrt{2}$
19215	Find the Other Trig Values in Quadrant II	sec(theta)=-1	$\sec (θ) = - 1$
19216	Solve for y	5-(y-2)=3x	$5 - (y - 2) = 3 x$
19217	Simplify	((x^2)/(y^3))÷(x/(2y))	$\frac{x^{2}}{y^{3}} \div \frac{x}{2 y}$
19218	Solve the Inequality for x	2x-5y>=10	$2 x - 5 y \geq 10$
19219	Factor	y=x^4-2x^3-7x^2+8x+12	$y = x^{4} - 2 x^{3} - 7 x^{2} + 8 x + 12$
19220	Write as a Single Logarithm	1/3( natural log of 27+2* natural log of 8)	$\frac{1}{3} (\ln (27) + 2 \cdot \ln (8))$
19221	Solve the Inequality for x	(\|x-3\|)/2>6	$\frac{\| x - 3 \|}{2} > 6$
19222	Evaluate	8+(22-2(1+5))*3	$8 + (22 - 2 (1 + 5)) \cdot 3$
19223	Simplify	square root of 3/4+2 square root of 3/4	$\sqrt{\frac{3}{4}} + 2 \sqrt{\frac{3}{4}}$
19224	Convert to Polar	z=2(cos(30 degrees )+isin(30 degrees ))	$z = 2 (\cos (30 °) + i \sin (30 °))$
19225	Solve the Inequality for r	\|r+2\|>6	$\| r + 2 \| > 6$
19226	Find the Antiderivative	1/(X^3+X)	$\frac{1}{X^{3} + X}$
19227	Simplify	(7x^2+3x+6)+(-4x^2+5x-6)	$(7 x^{2} + 3 x + 6) + (- 4 x^{2} + 5 x - 6)$
19228	Solve for x	log base 7 of 3x^2+3- log base 7 of x+7=0	$\log_{7} (3 x^{2} + 3) - \log_{7} (x + 7) = 0$
19229	Evaluate the Integral	integral from 0 to pi/6 of (3cos(3theta))^2 with respect to theta	$\int_{0}^{\frac{π}{6}} {(3 \cos (3 θ))}^{2} d θ$
19230	Find the Antiderivative	natural log of 2x+1	$\ln (2 x + 1)$
19231	Simplify	(m^4n)^3*(m^5n^3)^2	${(m^{4} n)}^{3} \cdot {(m^{5} n^{3})}^{2}$
19232	Multiply	pi/2*1/2	$\frac{π}{2} \cdot \frac{1}{2}$
19233	Simplify	((3x)^(-1/3))/((2y)^(1/4))	$\frac{{(3 x)}^{- \frac{1}{3}}}{{(2 y)}^{\frac{1}{4}}}$
19234	Evaluate the Integral	integral of (3x^2)/( square root of 1-x^6) with respect to x	$\int \frac{3 x^{2}}{\sqrt{1 - x^{6}}} d x$
19235	Simplify	(3/(x+1)+2/(x-1))/((x-1)/(x+1))	$\frac{\frac{3}{x + 1} + \frac{2}{x - 1}}{\frac{x - 1}{x + 1}}$
19236	Simplify	2y square root of x^3y-5 square root of x^3y^3+ square root of xy^3	$2 y \sqrt{x^{3} y} - 5 \sqrt{x^{3} y^{3}} + \sqrt{x y^{3}}$
19237	Solve the Function Operation	f(x)=3x+10 g(x)=x-2 Find f(g(0))	$f (x) = 3 x + 10$ $g (x) = x - 2$ Find $f (g (0))$
19238	Graph	y=-1/3cos(1/2x+pi/3)	$y = - \frac{1}{3} \cos (\frac{1}{2} x + \frac{π}{3})$
19239	Find the Degree	arctan(-( square root of 3)/3)	$\arctan (- \frac{\sqrt{3}}{3})$
19240	Convert from Degrees to Radians	-90deg	$- 90$ degrees
19241	Solve for x	24<4x-3+5x+6	$24 < 4 x - 3 + 5 x + 6$
19242	Factor	x^6-4x^4-8x^4+32x^2+16x^2-64	$x^{6} - 4 x^{4} - 8 x^{4} + 32 x^{2} + 16 x^{2} - 64$
19243	Find the Domain	c/(b-c)+(b^2-3bc)/(b^2-c^2)	$\frac{c}{b - c} + \frac{b^{2} - 3 b c}{b^{2} - c^{2}}$
19244	Simplify	2x(3x-4y)-(7x^2-2xy)	$2 x (3 x - 4 y) - (7 x^{2} - 2 x y)$
19245	Evaluate	\|48+bi\|=50	$\| 48 + b i \| = 50$
19246	Solve the Rational Equation for x	1/x+1/(x-3)=(x-2)/(x-3)	$\frac{1}{x} + \frac{1}{x - 3} = \frac{x - 2}{x - 3}$
19247	Simplify	a/( square root of 3b)	$\frac{a}{\sqrt{3 b}}$
19248	Verify the Identity	(cos(x))(tan(x)+sin(x)cot(x))=sin(x)+cos(x)^2	$(\cos (x)) (\tan (x) + \sin (x) \cot (x)) = \sin (x) + \cos^{2} (x)$
19249	Describe the Transformation	f(x)=-2(7)^x	$f (x) = - 2 {(7)}^{x}$
19250	Solve for x	(3x+2)/(x-5)=(4x-3)/(x-5)	$\frac{3 x + 2}{x - 5} = \frac{4 x - 3}{x - 5}$
19251	Simplify	(3- square root of 10)/( square root of 5- square root of 2)	$\frac{3 - \sqrt{10}}{\sqrt{5} - \sqrt{2}}$
19252	Multiply	4a^2b^3*(9a^4b^2-4a^2+3)	$4 a^{2} b^{3} \cdot (9 a^{4} b^{2} - 4 a^{2} + 3)$
19253	Multiply	square root of a^3* cube root of a	$\sqrt{a^{3}} \cdot \sqrt[3]{a}$
19254	Subtract	(2p^4-4p^3-4p)-(8p^4-2p^3-2p^2-3p)	$(2 p^{4} - 4 p^{3} - 4 p) - (8 p^{4} - 2 p^{3} - 2 p^{2} - 3 p)$
19255	Write as a Single Logarithm	log base b of 4+ log base b of x-3-4 log base b of y	$\log_{b} (4) + \log_{b} (x - 3) - 4 \log_{b} (y)$
19256	Simplify	(-2-i^4)+(10+i)	$(- 2 - i^{4}) + (10 + i)$
19257	Solve for x	fourth root of 6x+9+5=8	$\sqrt[4]{6 x + 9} + 5 = 8$
19258	Convert to Interval Notation	11(m+2)<=2m-(3m+8)	$11 (m + 2) \leq 2 m - (3 m + 8)$
19259	Solve the Function Operation	f(x)=-2x-2 if x!=-4; 4 if x=-4 Find f(-4)	$f (x) = {\begin{cases} - 2 x - 2 & x \neq - 4 \\ 4 & x = - 4 \end{cases}$ Find $f (- 4)$
19260	Solve the Rational Equation for x	x-6 = square root of 3x	$x - 6 = \sqrt{3 x}$
19261	Simplify	(3x^2y^7)/(xy)	$\frac{3 x^{2} y^{7}}{x y}$
19262	Simplify	(6^3x^5)/(6x^5)	$\frac{6^{3} x^{5}}{6 x^{5}}$
19263	Solve the Inequality for y	2y<y+2	$2 y < y + 2$
19264	Find the Slope	(-8,-1) and (-12,-2)	$(- 8, - 1)$ and $(- 12, - 2)$
19265	Solve the Function Operation	f(x)=x^2+x-8 g(x)=x+7 Find: f(g(x))	$f (x) = x^{2} + x - 8$ $g (x) = x + 7$ Find: $f (g (x))$
19266	Simplify	-5 cube root of 14p*-4 cube root of 4p^3	$- 5 \sqrt[3]{14 p} \cdot - 4 \sqrt[3]{4 p^{3}}$
19267	Determine if a Polynomial	-4s^3t^3+8s^5 square root of 7	$- 4 s^{3} t^{3} + 8 s^{5} \sqrt{7}$
19268	Solve the Inequality for X	X+4<2	$X + 4 < 2$
19269	Simplify the Radical Expression	6x square root of 9x^3	$6 x \sqrt{9 x^{3}}$
19270	Find All Complex Solutions	3tan(x)^2=tan(x)	$3 \tan^{2} (x) = \tan (x)$
19271	Simplify	-(3z^2+4z)-(6z^2-2)	$- (3 z^{2} + 4 z) - (6 z^{2} - 2)$
19272	Solve for x	-3/2+5/(2x)=-2	$\frac{- 3}{2} + \frac{5}{2 x} = - 2$
19273	Find the Equation Given the Roots	-5+2i , -5i	$- 5 + 2 i$ , $- 5 i$
19274	Graph	y>=- square root of 3x-6-5	$y \geq - \sqrt{3 x - 6} - 5$ ?
19275	Evaluate	square root of 10^-8	$\sqrt{10^{- 8}}$
19276	Find the x and y Intercepts	(3x-4)(x+5)	$(3 x - 4) (x + 5)$
19277	Solve by Factoring	2^(2x)-12*2^x+2^5=0	$2^{2 x} - 12 \cdot 2^{x} + 2^{5} = 0$
19278	Simplify the Radical Expression	((-54x^9)/(y^4))^(2/3)	${(\frac{- 54 x^{9}}{y^{4}})}^{\frac{2}{3}}$
19279	Evaluate	1/8-(-3/4)	$\frac{1}{8} - (- \frac{3}{4})$
19280	Simplify	1/8-(-3/4)	$\frac{1}{8} - (- \frac{3}{4})$
19281	Simplify	((4xy^6)(3x^5))/(2x^-2y^10)	$\frac{(4 x y^{6}) (3 x^{5})}{2 x^{- 2} y^{10}}$
19282	Simplify	8x-2(20-3(x-4))	$8 x - 2 (20 - 3 (x - 4))$
19283	Simplify the Radical Expression	( square root of a- square root of b)÷( square root of ab)	$(\sqrt{a} - \sqrt{b}) \div \sqrt{a b}$
19284	Simplify	-8/(-8+ square root of 10)	$\frac{- 8}{- 8 + \sqrt{10}}$
19285	Evaluate	square root of 10^-7	$\sqrt{10^{- 7}}$
19286	Graph	f(x)=-3x+5x^3-6x^2+2	$f (x) = - 3 x + 5 x^{3} - 6 x^{2} + 2$
19287	Evaluate	5(m-2)+m=6(m-4)	$5 (m - 2) + m = 6 (m - 4)$
19288	Simplify	((6x^2+42x)/(x^2-49)*(x^2-9x+14)/(x^2-2x))÷((x-2)/(6x))	$\frac{6 x^{2} + 42 x}{x^{2} - 49} \cdot \frac{x^{2} - 9 x + 14}{x^{2} - 2 x} \div \frac{x - 2}{6 x}$
19289	Simplify	( square root of 2)/(2+ square root of 3)	$\frac{\sqrt{2}}{2 + \sqrt{3}}$
19290	Solve the Inequality for a	(\|6a+3\|)/3>2	$\frac{\| 6 a + 3 \|}{3} > 2$
19291	Simplify the Radical Expression	fifth root of 2pq^6*2 square root of 2p^3q	$\sqrt[5]{2 p q^{6}} \cdot 2 \sqrt{2 p^{3} q}$
19292	Solve for v	-5(19v-18)-11v=8(-20v-9)	$- 5 (19 v - 18) - 11 v = 8 (- 20 v - 9)$
19293	Find All Complex Solutions	log of x+ log of x+2 = log of x+6	$\log (x) + \log (x + 2) = \log (x + 6)$
19294	Write in Standard Form	(x^4-3x^3+5x^2+x-4)-(x^3-4x^2-11x+10)	$(x^{4} - 3 x^{3} + 5 x^{2} + x - 4) - (x^{3} - 4 x^{2} - 11 x + 10)$
19295	Solve for k	5((5+k)/2)-4=((5+k)/2)^2-k((5+k)/2)	$5 (\frac{5 + k}{2}) - 4 = {(\frac{5 + k}{2})}^{2} - k (\frac{5 + k}{2})$
19296	Evaluate	(1-cos(x))(1+cos(x))	$(1 - \cos (x)) (1 + \cos (x))$
19297	Find the Slope	(8,5) and (-9,5)	$(8, 5)$ and $(- 9, 5)$
19298	Find dy/dx	3y^3=5x^2-4y-3y^2	$3 y^{3} = 5 x^{2} - 4 y - 3 y^{2}$
19299	Write in Slope-Intercept Form	(1,1) , (4,-1/2)	$(1, 1)$ , $(4, - \frac{1}{2})$
19300	Simplify	(3x)/(4x+8)+x/(4x+8)	$\frac{3 x}{4 x + 8} + \frac{x}{4 x + 8}$