Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
33201	Find the Exact Value	1/5pq-3/10pq^3-3/5pq^3-7/10pq+3pq	$\frac{1}{5} p q - \frac{3}{10} p q^{3} - \frac{3}{5} p q^{3} - \frac{7}{10} p q + 3 p q$
33202	Solve the Inequality for x	-3<=-6x+7(x-3/5)-1	$- 3 \leq - 6 x + 7 (x - \frac{3}{5}) - 1$
33203	Evaluate the Limit	limit as x approaches 0 of (4-3cos(x))^(1/(x^2))	$lim_{x \to 0} {(4 - 3 \cos (x))}^{\frac{1}{x^{2}}}$
33204	Evaluate	8^-2q^3r^-5	$8^{- 2} q^{3} r^{- 5}$
33205	Graph	f(x)>=-\|3x+6\|+1	$f (x) \geq - \| 3 x + 6 \| + 1$
33206	Find the Second Derivative	f(x)=3x^2+2/3x^-3+2/3x^3-x^-1	$f (x) = 3 x^{2} + \frac{2}{3} x^{- 3} + \frac{2}{3} x^{3} - x^{- 1}$
33207	Simplify	cube root of (32a^5b^4)/(4a^2b)	$\sqrt[3]{\frac{32 a^{5} b^{4}}{4 a^{2} b}}$
33208	Find the Derivative - d/dx	(e^(3x)+sin(2x))^4	${(e^{3 x} + \sin (2 x))}^{4}$
33209	Evaluate	fourth root of 81x^2y^18	$\sqrt[4]{81 x^{2} y^{18}}$
33210	Solve for p	13p-18p-6=15p+6(3p-20)	$13 p - 18 p - 6 = 15 p + 6 (3 p - 20)$
33211	Graph	y=-1/6csc(x/4)	$y = - \frac{1}{6} \csc (\frac{x}{4})$
33212	Simplify	( cube root of y^4)/( sixth root of y^4)	$\frac{\sqrt[3]{y^{4}}}{\sqrt[6]{y^{4}}}$
33213	Simplify	(x^2)/(-x)	$\frac{x^{2}}{- x}$
33214	Solve for x	x--1=3	$x - - 1 = 3$
33215	Find the Axis of Symmetry	9x^2+4y^2-90x-24y+225=0	$9 x^{2} + 4 y^{2} - 90 x - 24 y + 225 = 0$
33216	Graph	3\|x\|-\|y\|=2	$3 \| x \| - \| y \| = 2$
33217	Evaluate	15% of 50	$15 %$ of $50$
33218	Simplify	4k^98k^3k	$4 k^{9} \times 8 k^{3} \times k$
33219	Simplify	(5+yi)^2	${(5 + y i)}^{2}$
33220	Simplify	(1/(9x))/(9/(8x^3))	$\frac{\frac{1}{9 x}}{\frac{9}{8 x^{3}}}$
33221	Solve the Function Operation	If P(x)=x^2+x+5 ; find P(7)	If $P (x) = x^{2} + x + 5$ ; find $P (7)$
33222	Simplify	( square root of 2xy)^3	${(\sqrt{2 x y})}^{3}$
33223	Simplify	square root of (1-4/5)/2	$\sqrt{\frac{1 - \frac{4}{5}}{2}}$
33224	Evaluate the Function	q(y+3)=1/((y+3)^2-9)	$q (y + 3) = \frac{1}{{(y + 3)}^{2} - 9}$
33225	Simplify	x+5+2x-4+4x-1+6x+5x-2	$x + 5 + 2 x - 4 + 4 x - 1 + 6 x + 5 x - 2$
33226	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-6,-2) and has a slope of -1/6 ?	What is the equation of the line that passes through the point $(- 6, - 2)$ and has a slope of $- \frac{1}{6}$ ?
33227	Find the Other Trig Values in Quadrant IV	sec(theta) = square root of 3	$\sec (θ) = \sqrt{3}$
33228	Multiply	(1+2/3)(1+2/5)(1+2/7)*(1+2/9)	$(1 + \frac{2}{3}) \cdot (1 + \frac{2}{5}) \cdot (1 + \frac{2}{7}) \cdot (1 + \frac{2}{9})$
33229	Find the Slope	x+y-1=0	$x + y - 1 = 0$
33230	Solve the Inequality for n	(2n+1)/(3n+1)<=(n-1)/(3n+1)	$\frac{2 n + 1}{3 n + 1} \leq \frac{n - 1}{3 n + 1}$
33231	Find the Quotient	(3x^3+9x^2-14)÷(x^2+x-3)	$(3 x^{3} + 9 x^{2} - 14) \div (x^{2} + x - 3)$
33232	Solve for x	1/3x=-x+2/3x-1	$\frac{1}{3} x = - x + \frac{2}{3} x - 1$
33233	Simplify	square root of 8b^2* square root of 6b^2+3b^2 square root of 3	$\sqrt{8 b^{2}} \cdot \sqrt{6 b^{2}} + 3 b^{2} \sqrt{3}$
33234	Solve for x	1/(2x)=3/(4x)	$\frac{1}{2 x} = \frac{3}{4 x}$
33235	Find the Domain	1/(( square root of x)/(x^2-4))	$\frac{1}{\frac{\sqrt{x}}{x^{2} - 4}}$
33236	Find the Volume	xy=8 , x=1 and x=5	$x y = 8$ , $x = 1$ and $x = 5$
33237	Solve for x	(-2cos(x)-3sin(x))^2-5sin(x)^2=1	${(- 2 \cos (x) - 3 \sin (x))}^{2} - 5 \sin^{2} (x) = 1$
33238	Graph	R(x)=-x^2+6x , C(x)=x+4	$R (x) = - x^{2} + 6 x$ , $C (x) = x + 4$
33239	Simplify	(-x^2+1)/((x^2+1)^2)	$\frac{- x^{2} + 1}{{(x^{2} + 1)}^{2}}$
33240	Divide	square root of 2 , square root of 8	$\sqrt{2}$ , $\sqrt{8}$
33241	Evaluate	2/(ac)+1/(ab)+3/(bc)	$\frac{2}{a c} + \frac{1}{a b} + \frac{3}{b c}$
33242	Find the Distance Between Two Points	(2,-5) and (7,4)	$(2, - 5)$ and $(7, 4)$
33243	Find the Domain	f(x)=( square root of 2-x)/(x^2-4x+3)	$f (x) = \frac{\sqrt{2 - x}}{x^{2} - 4 x + 3}$
33244	Simplify the Radical Expression	2x square root of 3xy*4 square root of 2x^5y	$2 x \sqrt{3 x y} \cdot 4 \sqrt{2 x^{5} y}$
33245	Solve the Inequality for x	8-\|2x-1\|>=6	$8 - \| 2 x - 1 \| \geq 6$
33246	Solve for x	\|x\|-1<0	$\| x \| - 1 < 0$
33247	Find the Roots (Zeros)	f(h)=h(h-2)(2h-1)	$f (h) = h (h - 2) (2 h - 1)$
33248	Simplify	(6x^2-1)+(x^2+3)-2(x^2-5)-15x^2	$(6 x^{2} - 1) + (x^{2} + 3) - 2 (x^{2} - 5) - 15 x^{2}$
33249	Find the Domain	(5a)/(a-b)+(5b)/(b-a)	$\frac{5 a}{a - b} + \frac{5 b}{b - a}$
33250	Simplify	-2a^4-3a^2+7a+6-6a^3+a^4+7a^2-6	$- 2 a^{4} - 3 a^{2} + 7 a + 6 - 6 a^{3} + a^{4} + 7 a^{2} - 6$
33251	Simplify	5/(x+3)+(2x)/(x^2+6x+9)	$\frac{5}{x + 3} + \frac{2 x}{x^{2} + 6 x + 9}$
33252	Multiply	x*xy	$x \cdot x y$
33253	Simplify	(4v+7v^2)+(7v+7v^2+7v^4)	$(4 v + 7 v^{2}) + (7 v + 7 v^{2} + 7 v^{4})$
33254	Simplify	5(6p)+p	$5 (6 p) + p$
33255	Evaluate Using the Given Value	4t+8 if t=3	$4 t + 8$ if $t = 3$
33256	Find the Antiderivative	f(x)=1/( square root of 2x-1)	$f (x) = \frac{1}{\sqrt{2 x - 1}}$
33257	Find the Derivative - d/dx	4/(3 fifth root of x^3)	$\frac{4}{3 \sqrt[5]{x^{3}}}$
33258	Find the Exact Value	sin(45 degrees )+sin(135 degrees )+sin(225 degrees )+sin(315 degrees )	$\sin (45 °) + \sin (135 °) + \sin (225 °) + \sin (315 °)$
33259	Simplify	sixth root of (16x^4)/(25y^2)	$\sqrt[6]{\frac{16 x^{4}}{25 y^{2}}}$
33260	Find the Derivative - d/dy	x^2+1/x+xy+1/y+y^2	$x^{2} + \frac{1}{x} + x y + \frac{1}{y} + y^{2}$
33261	Simplify	(5m)/(2n)+(3m)/(4n)	$\frac{5 m}{2 n} + \frac{3 m}{4 n}$
33262	Solve for p	(x-p)^2=q	${(x - p)}^{2} = q$
33263	Divide Using Long Polynomial Division	(x^4+x^3-8x^2-13x-7)÷(x+2)	$(x^{4} + x^{3} - 8 x^{2} - 13 x - 7) \div (x + 2)$
33264	Evaluate	(sin(60 degrees ))(cos(30 degrees ))+(cos(60 degrees ))(sin(30 degrees ))	$(\sin (60 °)) (\cos (30 °)) + (\cos (60 °)) (\sin (30 °))$
33265	Solve for a	4a+2b=20 15a+5b=60	$4 a + 2 b = 20$ $15 a + 5 b = 60$
33266	Find the Slope	(3,5) and (2,0)	$(3, 5)$ and $(2, 0)$
33267	Find the Third Derivative	y=cos(2x-6)	$y = \cos (2 x - 6)$
33268	Find the Area Between the Curves	y=tan(7x) , y=2sin(7x) , -pi/21<=x<=pi/21	$y = \tan (7 x)$ , $y = 2 \sin (7 x)$ , $- \frac{π}{21} \leq x \leq \frac{π}{21}$
33269	Simplify	-2/3+5/6	$- \frac{2}{3} + \frac{5}{6}$
33270	Find All Complex Solutions	3x-7=3(x-3)+2	$3 x - 7 = 3 (x - 3) + 2$
33271	Solve Using the Quadratic Formula	(-2+- square root of 2^2-41-3)/(2(1))	$\frac{- 2 + - \sqrt{2^{2} - 4 \cdot 1 \cdot - 3}}{2 (1)}$
33272	Find the x and y Intercepts	f(x)=(x-7)(5x+1)^2(x-7)	$f (x) = (x - 7) {(5 x + 1)}^{2} (x - 7)$
33273	Factor	theta^8-theta^8cos(theta)^2	$θ^{8} - θ^{8} \cos^{2} (θ)$
33274	Solve for x	2x(x-4)-3(x+5)=x(1-x)-16	$2 x (x - 4) - 3 (x + 5) = x (1 - x) - 16$
33275	Solve the System of Inequalities	y>=-5x+3 y>-2	$y \geq - 5 x + 3$ $y > - 2$
33276	Solve the System of Inequalities	y>x-5 y>=-2x-2	$y > x - 5$ $y \geq - 2 x - 2$
33277	Simplify	square root of -9+-16	$\sqrt{- 9 + - 16}$
33278	Simplify	((x^10)^(1/5))/( square root of x^8)	$\frac{{(x^{10})}^{\frac{1}{5}}}{\sqrt[2]{x^{8}}}$
33279	Multiply	32 2/31/3	$3 \cdot 2 \frac{2}{3} \cdot \frac{1}{3}$
33280	Solve the System of Equations	3y=12x x^2+y^2=81	$3 y = 12 x$ $x^{2} + y^{2} = 81$
33281	Write the Fraction in Simplest Form	((3u^-1)^-1)/(15ub^5)	$\frac{{(3 u^{- 1})}^{- 1}}{15 u b^{5}}$
33282	Find the Exact Value	(3 log of 2)/( log of 4+ log of 3)	$\frac{3 \log (2)}{\log (4) + \log (3)}$
33283	Simplify	4 square root of 6+7 cube root of 2-3 square root of 6-4 cube root of 2	$4 \sqrt{6} + 7 \sqrt[3]{2} - 3 \sqrt{6} - 4 \sqrt[3]{2}$
33284	Evaluate the Limit	limit as theta approaches -1 of (theta+1)/(-2theta^2-6theta-4)	$lim_{θ \to - 1} \frac{θ + 1}{- 2 θ^{2} - 6 θ - 4}$
33285	Evaluate	(-4mn)^3*(-2m^2)^3	${(- 4 m n)}^{3} \cdot {(- 2 m^{2})}^{3}$
33286	Solve for x	1/2+3/(x-3)=-3/(x-3)	$\frac{1}{2} + \frac{3}{x - 3} = - \frac{3}{x - 3}$
33287	Evaluate the Integral	integral of f(x)g(x) with respect to x	$\int f (x) g (x) d x$
33288	Find the Cotangent Given the Point	((- square root of 2)/2,( square root of 2)/2)	$(\frac{- \sqrt{2}}{2}, \frac{\sqrt{2}}{2})$
33289	Solve for v	v-4<=2v-1	$v - 4 \leq 2 v - 1$
33290	Find the Domain and Range	y=1/4tan(x-pi/4)	$y = \frac{1}{4} \tan (x - \frac{π}{4})$
33291	Find the Geometric Mean	3 and 15	$3$ and $15$
33292	Divide	(18r)÷3r^4	$18 r \div 3 r^{4}$
33293	Find Where Increasing/Decreasing	-8/3x^3+19x^2-42x+28	$- \frac{8}{3} x^{3} + 19 x^{2} - 42 x + 28$
33294	Solve for x	sin(x)+ square root of 3cos(x)=1	$\sin (x) + \sqrt{3} \cos (x) = 1$
33295	Solve for v	cube root of 2v-7=-2	$\sqrt[3]{2 v - 7} = - 2$
33296	Solve the Inequality for x	7 cube root of x-3>=21	$7 \sqrt[3]{x - 3} \geq 21$
33297	Solve the System of Equations	y=x^2+2 x+y=4	$y = x^{2} + 2$ $x + y = 4$
33298	Expand Using the Binomial Theorem	(2x^3y+y)^7	${(2 x^{3} y + y)}^{7}$
33299	Rationalize the Denominator	3/(3-i)	$\frac{3}{3 - i}$
33300	Solve the Inequality for x	6x^2-13x>-6x+3	$6 x^{2} - 13 x > - 6 x + 3$