Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
9101	Graph	y=-1/2cos(2x+2/3pi)	$y = - \frac{1}{2} \cos (2 x + \frac{2}{3} π)$
9102	Solve for x	(x-2)/(2x-6)=x/(x+3)	$\frac{x - 2}{2 x - 6} = \frac{x}{x + 3}$
9103	Simplify	(x^8y^-6z^-2)^(1/2)	${(x^{8} y^{- 6} z^{- 2})}^{\frac{1}{2}}$
9104	Solve for x	x^8=-x^7+3	$x^{8} = - x^{7} + 3$
9105	Simplify	5/(-2(x-4)^2+6)	$\frac{5}{- 2 {(x - 4)}^{2} + 6}$
9106	Divide	(-2/3)÷(4/3)	$- \frac{2}{3} \div \frac{4}{3}$
9107	Find Where Increasing/Decreasing	f(x)=-2*2^(1/3x)+3	$f (x) = - 2 \cdot 2^{\frac{1}{3} x} + 3$
9108	Solve for a	(a+13)/10-(2a)/5=(3-a)/15+a/2	$\frac{a + 13}{10} - \frac{2 a}{5} = \frac{3 - a}{15} + \frac{a}{2}$
9109	Divide Using Long Polynomial Division	Use the long division method to find the result when 6x^3+23x^2+15x+28 is divided by 2x+7	Use the long division method to find the result when $6 x^{3} + 23 x^{2} + 15 x + 28$ is divided by $2 x + 7$
9110	Find the Roots (Zeros)	y=x-3	$y = x - 3$
9111	Evaluate	(4(9)^(1/2))/9	$\frac{4 {(9)}^{\frac{1}{2}}}{9}$
9112	Convert to a Decimal	56 pulgadas acm	$56$ pulgadas acm
9113	Rationalize the Denominator	(8y^2)/(2 fourth root of y)	$\frac{8 y^{2}}{2 \sqrt[4]{y}}$
9114	Divide Using Long Polynomial Division	(x^3-x^2-2x+8)÷(x-1)	$(x^{3} - x^{2} - 2 x + 8) \div (x - 1)$
9115	Simplify	6y cube root of 54x^10y^6	$6 y \sqrt[3]{54 x^{10} y^{6}}$
9116	Find the Trig Value	cos(theta)=5/13 , (3pi)/2<theta<2pi	$\cos (θ) = \frac{5}{13}$ , $\frac{3 π}{2} < θ < 2 π$
9117	Solve for c	a/b+1/d=1/c	$\frac{a}{b} + \frac{1}{d} = \frac{1}{c}$
9118	Simplify	(12x)/(4x)+5x	$\frac{12 x}{4 x} + 5 x$
9119	Evaluate	64÷(15-7)*2-9	$64 \div (15 - 7) \cdot 2 - 9$
9120	Solve the Inequality for x	2x^2-4x-56>=-10x	$2 x^{2} - 4 x - 56 \geq - 10 x$
9121	Solve the Rational Equation for x	square root of x=-10	$\sqrt{x} = - 10$
9122	Solve for n	2/3n-2/3=n/6+4/3	$\frac{2}{3} n - \frac{2}{3} = \frac{n}{6} + \frac{4}{3}$
9123	Solve for x	x=1+ square root of 3x-5	$x = 1 + \sqrt{3 x - 5}$
9124	Simplify	find the sum of -10x^2-x+6 and 10x^2-5	find the sum of $- 10 x^{2} - x + 6$ and $10 x^{2} - 5$
9125	Solve for k	kx^2+4kx+3=x^2	$k x^{2} + 4 k x + 3 = x^{2}$
9126	Simplify	i^9i^9i^21*i^28	$i^{9} \cdot i^{9} \cdot i^{21} \cdot i^{28}$
9127	Find the Maximum/Minimum Value	y=3sin(3/4)(x+(2pi)/3)-5	$y = 3 \sin (\frac{3}{4}) (x + \frac{2 π}{3}) - 5$
9128	Solve for x	1/2x^5=1/5x^2-2	$\frac{1}{2} x^{5} = \frac{1}{5} x^{2} - 2$
9129	Factor	a^6x^2-b^6x^2	$a^{6} x^{2} - b^{6} x^{2}$
9130	Describe the Transformation	y=2(x+8)^3-3	$y = 2 {(x + 8)}^{3} - 3$
9131	Simplify	( square root of 45x^6y)/(3 square root of 15xy^3)	$\frac{\sqrt{45 x^{6} y}}{3 \sqrt{15 x y^{3}}}$
9132	Simplify	i^14i^8i^24*i^12	$i^{14} \cdot i^{8} \cdot i^{24} \cdot i^{12}$
9133	Simplify	Find the sum of 4x^2-4x+10 and 2x^2+5x-8	Find the sum of $4 x^{2} - 4 x + 10$ and $2 x^{2} + 5 x - 8$
9134	Find the Equation Using Slope-Intercept Form	(6,4) ; slope -3/4	$(6, 4)$ ; slope $- \frac{3}{4}$
9135	Find the Other Trig Values in Quadrant I	sin(30 degrees )=1/2	$\sin (30 °) = \frac{1}{2}$
9136	Simplify	( square root of 3+i)/( square root of 3-i)	$\frac{\sqrt{3} + i}{\sqrt{3} - i}$
9137	Solve the Inequality for x	4.6>x+3/4	$4.6 > x + \frac{3}{4}$
9138	Write in Slope-Intercept Form	y+15=x+6	$y + 15 = x + 6$
9139	Simplify	(25xy^3)/(35x^4y^2)*(14xy)/(10x^2y^3)	$\frac{25 x y^{3}}{35 x^{4} y^{2}} \cdot \frac{14 x y}{10 x^{2} y^{3}}$
9140	Find the Concavity	f(x)=x^(2/3)-4x^(1/3)	$f (x) = x^{\frac{2}{3}} - 4 x^{\frac{1}{3}}$
9141	Find the Derivative - d/dx	-(x+1)(x-1)^2	$- (x + 1) {(x - 1)}^{2}$
9142	Solve for x	1/4 square root of 32x=1	$\frac{1}{4} \sqrt{32 x} = 1$
9143	Find the Equation Using Two Points	f(5)=-1 and f(0)=-5	$f (5) = - 1$ and $f (0) = - 5$
9144	Find the Exact Value	sec(-720 degrees )	$\sec (- 720 °)$
9145	Multiply	fourth root of 7x^6* fourth root of 32x^2	$\sqrt[4]{7 x^{6}} \cdot \sqrt[4]{32 x^{2}}$
9146	Solve the Rational Equation for z	(2z)/(z-2)-5/(z-4)=5	$\frac{2 z}{z - 2} - \frac{5}{z - 4} = 5$
9147	Find the Derivative - d/dx	x^2e^(kx)	$x^{2} e^{k x}$
9148	Evaluate the Limit	limit as x approaches 1 of ((x-3)(x^2-2))/(x^2+1)	$lim_{x \to 1} \frac{(x - 3) (x^{2} - 2)}{x^{2} + 1}$
9149	Graph	4x+8y>=-24 , x+2y<12	$4 x + 8 y \geq - 24$ , $x + 2 y < 12$
9150	Find the Asymptotes	f(x)=((x-1)(x+2)(x-4))/((x+7)(x-5)(x-3))	$f (x) = \frac{(x - 1) (x + 2) (x - 4)}{(x + 7) (x - 5) (x - 3)}$
9151	Graph	2x-(-4y)<-4	$2 x - (- 4 y) < - 4$
9152	Find the Domain and Range	F(x)=1/2	$F (x) = \frac{1}{2}$
9153	Simplify the Radical Expression	(5^(1/2)*5^(-3/2))^(-1/4)	${(5^{\frac{1}{2}} \cdot 5^{- \frac{3}{2}})}^{- \frac{1}{4}}$
9154	Solve the Inequality for r	r/2<=27	$\frac{r}{2} \leq 27$
9155	Simplify	(5a-3c)(5a+3c)-(7c-a)(7c+a)	$(5 a - 3 c) (5 a + 3 c) - (7 c - a) (7 c + a)$
9156	Graph	Graph -9x+6y=18	Graph $- 9 x + 6 y = 18$
9157	Graph Using a Table of Values	y=sin(x)	$y = \sin (x)$
9158	Simplify	5+10-3^2	$5 + 10 - 3^{2}$
9159	Solve for x	2(2+3)+4x=2(2x+2)+6	$2 (2 + 3) + 4 x = 2 (2 x + 2) + 6$
9160	Simplify	(8+4p^3-7p)+(5p^2+3+p)	$(8 + 4 p^{3} - 7 p) + (5 p^{2} + 3 + p)$
9161	Solve for x	x^4-15x^2=-24	$x^{4} - 15 x^{2} = - 24$
9162	Simplify	(ab^(1/4))(a^(3/11)b^(2/4))	$(a b^{\frac{1}{4}}) (a^{\frac{3}{11}} b^{\frac{2}{4}})$
9163	Solve the Function Operation	f(x)=-4x-10 g(x)=x^2+x+9 Find: f(g(x))	$f (x) = - 4 x - 10$ $g (x) = x^{2} + x + 9$ Find: $f (g (x))$
9164	Simplify	(i square root of 1/2)/(i square root of 3/2)	$\frac{i \sqrt{\frac{1}{2}}}{i \sqrt{\frac{3}{2}}}$
9165	Simplify	( fourth root of r^20s^9)/( fourth root of r^3s)	$\frac{\sqrt[4]{r^{20} s^{9}}}{\sqrt[4]{r^{3} s}}$
9166	Solve the Inequality for p	p+18>25	$p + 18 > 25$
9167	Solve by Substitution	y=-3x+5 and 5x-4y=-3	$y = - 3 x + 5$ and $5 x - 4 y = - 3$
9168	Evaluate the Integral	integral of (sec(theta)^2-sin(theta)) with respect to theta	$\int (\sec^{2} (θ) - \sin (θ)) d θ$
9169	Find the Excluded Values	(x^2-1)/(x^2+5x+4)*(x^2)/(x^2-x)	$\frac{x^{2} - 1}{x^{2} + 5 x + 4} \cdot \frac{x^{2}}{x^{2} - x}$
9170	Solve for y	y^4-7y^3-18y^2=0	$y^{4} - 7 y^{3} - 18 y^{2} = 0$
9171	Solve for r	square root of 56-r=r	$\sqrt{56 - r} = r$
9172	Simplify	(-6xy^2)^(1/4)( fourth root of -6xy)^3	${(- 6 x y^{2})}^{\frac{1}{4}} {(\sqrt[4]{- 6 x y})}^{3}$
9173	Write in Standard Form	4x^2-3x-x^2+3x	$4 x^{2} - 3 x - x^{2} + 3 x$
9174	Evaluate the Integral	integral of (x^-7+x^(-1/3)+x^-2) with respect to x	$\int (x^{- 7} + x^{- \frac{1}{3}} + x^{- 2}) d x$
9175	Simplify	7z*(2x-y)+2x-y	$7 z \cdot (2 x - y) + 2 x - y$
9176	Determine if True	tan(theta)=(sin(theta))/(cos(theta))	$\tan (θ) = \frac{\sin (θ)}{\cos (θ)}$
9177	Simplify the Radical Expression	square root of 9* square root of 4	$\sqrt{9} \cdot \sqrt{4}$
9178	Evaluate	4(1/6)^1	$4 {(\frac{1}{6})}^{1}$
9179	Simplify	Find the sum of -3x^2+5x-8 and -10x^2-x-3	Find the sum of $- 3 x^{2} + 5 x - 8$ and $- 10 x^{2} - x - 3$
9180	Find the Exact Value	csc(30 degrees )tan(45 degrees )	$\csc (30 °) \tan (45 °)$
9181	Find the Asymptotes	f(x)=(2x)/(x^2)	$f (x) = \frac{2 x}{x^{2}}$
9182	Evaluate the Summation	sum from k=5 to 12 of (-1)^k*2k	$\sum_{k = 5}^{12} {(- 1)}^{k} \cdot 2 k$
9183	Simplify the Radical Expression	(16^(1/2))^(3/4)	${(16^{\frac{1}{2}})}^{\frac{3}{4}}$
9184	Find the Derivative - d/dx	-5x^(-1/2)	$- 5 x^{- \frac{1}{2}}$
9185	Solve by Graphing	y=x+2 3x+y=-6	$y = x + 2$ $3 x + y = - 6$
9186	Simplify	sec(theta)^2cos(theta)^2	$\sec^{2} (θ) \cos^{2} (θ)$
9187	Simplify	(m^(-5/8))(m^(3/8))	$(m^{- \frac{5}{8}}) (m^{\frac{3}{8}})$
9188	Solve for x	1=16/(5^x)+(3/5)^x	$1 = \frac{16}{5^{x}} + {(\frac{3}{5})}^{x}$
9189	Evaluate	-3/2(2)^1	$- \frac{3}{2} {(2)}^{1}$
9190	Find the Product	-8mn*(2m-3mp+p^2)	$- 8 m n \cdot (2 m - 3 m p + p^{2})$
9191	Find the LCM	5x^3y and 15x^2y^2	$5 x^{3} y$ and $15 x^{2} y^{2}$
9192	Find the Local Maxima and Minima	f(x)=-3/5x^5+9x^4-35x^3+6	$f (x) = - \frac{3}{5} x^{5} + 9 x^{4} - 35 x^{3} + 6$
9193	Solve by Graphing	y=-1/3x-3 y=x-7	$y = - \frac{1}{3} x - 3$ $y = x - 7$
9194	Evaluate	mg=7	$mg = 7$
9195	Simplify	(6 square root of 48)/(4 square root of 6)	$\frac{6 \sqrt{48}}{4 \sqrt{6}}$
9196	Simplify	((ab)^-1)/(cd^-2)	$\frac{{(a b)}^{- 1}}{c d^{- 2}}$
9197	Evaluate	8^2-6+(8+20)÷7	$8^{2} - 6 + (8 + 20) \div 7$
9198	Solve for a	a/(a-1)-(a+5)/a=0	$\frac{a}{a - 1} - \frac{a + 5}{a} = 0$
9199	Simplify	5yi^3+xi^4	$5 y i^{3} + x i^{4}$
9200	Solve for x	1/x+2/(3x)=5/(x-2)	$\frac{1}{x} + \frac{2}{3 x} = \frac{5}{x - 2}$