Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
230901	Evaluate	2^-14*5^10	$2^{- 14} \cdot 5^{10}$
230902	Solve for c	( square root of 3)/2=( square root of 12)/c	$\frac{\sqrt{3}}{2} = \frac{\sqrt{12}}{c}$
230903	Factor	x^8-25x^4+144=0	$x^{8} - 25 x^{4} + 144 = 0$
230904	Find the x and y Intercepts	f(x)=-(1/3)^(x-1)+2	$f (x) = - {(\frac{1}{3})}^{x - 1} + 2$
230905	Simplify	5 square root of -100+4 cube root of 512+2 square root of -64	$5 \sqrt{- 100} + 4 \sqrt[3]{512} + 2 \sqrt{- 64}$
230906	Evaluate	2^2--3^-2	$2^{2} - - 3^{- 2}$
230907	Simplify the Radical Expression	square root of 144- square root of -90+ square root of 16+ square root of -10	$\sqrt{144} - \sqrt{- 90} + \sqrt{16} + \sqrt{- 10}$
230908	Solve for x	-10-3x^3=-37	$- 10 - 3 x^{3} = - 37$
230909	Simplify	(4x^4+3x^2-1)+(mx^3+2)(3x^2+1)	$(4 x^{4} + 3 x^{2} - 1) + (m x^{3} + 2) (3 x^{2} + 1)$
230910	Solve the Rational Equation for x	9^x*3^(x+2)=3^(f(x))	$9^{x} \cdot 3^{x + 2} = 3^{f (x)}$
230911	Solve for x	(x+2)/4+(x-4)/2-(x-3)/3=(x+1)/12-(x-1)/2	$\frac{x + 2}{4} + \frac{x - 4}{2} - \frac{x - 3}{3} = \frac{x + 1}{12} - \frac{x - 1}{2}$
230912	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-8,-6) and has a slope of 1/4 ?	What is the equation of the line that passes through the point $(- 8, - 6)$ and has a slope of $\frac{1}{4}$ ?
230913	Factor	Factor: 49d^2n-25n	Factor: $49 d^{2} n - 25 n$
230914	Find the Distance Between Two Points	Find the distance between the points (-4,-9) and (-8,1)	Find the distance between the points $(- 4, - 9)$ and $(- 8, 1)$
230915	Evaluate	(2/3)^3+8/9	${(\frac{2}{3})}^{3} + \frac{8}{9}$
230916	Simplify the Radical Expression	( fourth root of 32)^2	${(\sqrt[4]{32})}^{2}$
230917	Find the LCM	15 and 5	$15$ and $5$
230918	Evaluate	-5 square root of x^3	$- 5 \sqrt{x^{3}}$
230919	Find the Product	(y^x-5)(y^x+5)	$(y^{x} - 5) (y^{x} + 5)$
230920	Simplify	-2/5-(-9/15)	$- \frac{2}{5} - (- \frac{9}{15})$
230921	Evaluate	6/7-(1/2*1/3)÷(1/5)	$\frac{6}{7} - \frac{1}{2} \cdot \frac{1}{3} \div \frac{1}{5}$
230922	Graph	y=-(2x+1)(2x+3)(2x-5)	$y = - (2 x + 1) (2 x + 3) (2 x - 5)$
230923	Solve for v	6/(3v-18)-3=2/(v-6)	$\frac{6}{3 v - 18} - 3 = \frac{2}{v - 6}$
230924	Simplify	cube root of 2x-(-11 cube root of 2x)	$\sqrt[3]{2 x} - (- 11 \sqrt[3]{2 x})$
230925	Divide	(8x^5y^3)/(8x^7y)	$\frac{8 x^{5} y^{3}}{8 x^{7} y}$
230926	Solve for x	-4^(2-x)=-32	$- 4^{2 - x} = - 32$
230927	Convert to Interval Notation	2x+3<=-10 or 2x+3>=10	$2 x + 3 \leq - 10$ or $2 x + 3 \geq 10$
230928	Solve the System of Equations	5x-6y=33 and 2x+y=-14	$5 x - 6 y = 33$ and $2 x + y = - 14$
230929	Solve for y	6(y+3)-5y=15	$6 (y + 3) - 5 y = 15$
230930	Simplify the Radical Expression	(10 square root of 18)/( square root of 5)	$\frac{10 \sqrt{18}}{\sqrt{5}}$
230931	Simplify	fourth root of (16a^4)/(b^4c^8)	$\sqrt[4]{\frac{16 a^{4}}{b^{4} c^{8}}}$
230932	Solve the Absolute Value Inequality for x	\|x-2\|-3<=0	$\| x - 2 \| - 3 \leq 0$
230933	Simplify	(LT^-1)^2	${(L T^{- 1})}^{2}$
230934	Simplify	4^-3(8)^2	$4^{- 3} {(8)}^{2}$
230935	Evaluate the Function	f(x)=(7x-4)/(4x-12) at x=3	$f (x) = \frac{7 x - 4}{4 x - 12}$ at $x = 3$
230936	Simplify	(3 square root of 7)/(-1- square root of 27)	$\frac{3 \sqrt{7}}{- 1 - \sqrt{27}}$
230937	Solve the Inequality for x	1/4(x-9)<x+12	$\frac{1}{4} (x - 9) < x + 12$
230938	Solve for x	(cos(45))=1/x	$(\cos (45)) = \frac{1}{x}$
230939	Write with Rational (Fractional) Exponents	m root of n root of a	$\sqrt[m]{\sqrt[n]{a}}$
230940	Solve for u	-38=7u+17-12u	$- 38 = 7 u + 17 - 12 u$
230941	Evaluate	square root of x=x-6	$\sqrt{x} = x - 6$
230942	Solve for u	56=7u^2	$56 = 7 u^{2}$
230943	Simplify	(27y^2+27y-30)/(9y-6)	$\frac{27 y^{2} + 27 y - 30}{9 y - 6}$
230944	Solve by Graphing	y-2x=0 y+x=3	$y - 2 x = 0$ $y + x = 3$
230945	Solve for y	2y-4=y	$2 y - 4 = y$
230946	Graph	y>-4/3x-1y	$y > - \frac{4}{3} x - 1 y$
230947	Solve for k	3(k-9)>3k+6	$3 (k - 9) > 3 k + 6$
230948	Graph	y>=1/3x-2 and y<=2x-3	$y \geq \frac{1}{3} x - 2$ and $y \leq 2 x - 3$
230949	Evaluate	fourth root of 10* fourth root of 10	$\sqrt[4]{10} \cdot \sqrt[4]{10}$
230950	Solve Using the Quadratic Formula	2(n-2)(n+1)-(n+3)=0	$2 (n - 2) (n + 1) - (n + 3) = 0$
230951	Solve for x	4/5+x=3/7	$\frac{4}{5} + x = \frac{3}{7}$
230952	Evaluate	(3/7*0.1)÷(5/21)	$\frac{3}{7} \cdot 0.1 \div \frac{5}{21}$
230953	Find the Exact Value	cot(pi/2)+sin(pi/2)	$\cot (\frac{π}{2}) + \sin (\frac{π}{2})$
230954	Evaluate	-2 3/5-(-1 2/5)-4/5	$- 2 \frac{3}{5} - (- 1 \frac{2}{5}) - \frac{4}{5}$
230955	Solve for x	square root of 72+x=x	$\sqrt{72 + x} = x$
230956	Write in Standard Form	4x-y^2=2y+13	$4 x - y^{2} = 2 y + 13$
230957	Solve for b	3.2=4/5(b-5)	$3.2 = \frac{4}{5} (b - 5)$
230958	Solve the System of Equations	x+y-2z=7 7x+9y-2z=-9 10x+7y+2z=-3	$x + y - 2 z = 7$ $7 x + 9 y - 2 z = - 9$ $10 x + 7 y + 2 z = - 3$
230959	Solve the Rational Equation for y	square root of y^6=-y^3	$\sqrt{y^{6}} = - y^{3}$
230960	Solve for x	square root of 3x+ square root of 12=(x+3)/( square root of 3)	$\sqrt{3} x + \sqrt{12} = \frac{x + 3}{\sqrt{3}}$
230961	Solve the System of Equations	3x-y=17 and x+4y=23	$3 x - y = 17$ and $x + 4 y = 23$
230962	Simplify the Radical Expression	-2 square root of 15(-3 square root of 3+3 square root of 5)	$- 2 \sqrt{15} (- 3 \sqrt{3} + 3 \sqrt{5})$
230963	Graph	f(x)=(5x^2-45x+100)/(-4x^2+20x)	$f (x) = \frac{5 x^{2} - 45 x + 100}{- 4 x^{2} + 20 x}$
230964	Find the Product	(x^2(x-4))/(x-3)*((x-3)(x+6))/(x^3)	$\frac{x^{2} (x - 4)}{x - 3} \cdot \frac{(x - 3) (x + 6)}{x^{3}}$
230965	Solve the System of Inequalities	y<-2x-2 y>=1/2x+3	$y < - 2 x - 2$ $y \geq \frac{1}{2} x + 3$
230966	Divide Using Long Polynomial Division	Use the long division method to find the result when 3x^3-2x^2-7x-2 is divided by x+1	Use the long division method to find the result when $3 x^{3} - 2 x^{2} - 7 x - 2$ is divided by $x + 1$
230967	Solve for x	6+1/(x+4)=5	$6 + \frac{1}{x + 4} = 5$
230968	Subtract	(-2x+23x^5+11)-(5-9x^3+x)	$(- 2 x + 23 x^{5} + 11) - (5 - 9 x^{3} + x)$
230969	Simplify	-9x(5x+4)+10(x+3)	$- 9 x (5 x + 4) + 10 (x + 3)$
230970	Graph	y=(x-1)(2x+7)^2	$y = (x - 1) {(2 x + 7)}^{2}$
230971	Simplify	(m^2-16n^2)÷((3m+12n)/(mn))	$(m^{2} - 16 n^{2}) \div \frac{3 m + 12 n}{m n}$
230972	Solve for y	t=(2-3y)/(y+2)	$t = \frac{2 - 3 y}{y + 2}$
230973	Find the Product	(2a+5b)(a-4b)	$(2 a + 5 b) (a - 4 b)$
230974	Write as a Single Logarithm	natural log of x^2+6x+8- natural log of x+2	$\ln (x^{2} + 6 x + 8) - \ln (x + 2)$
230975	Solve the System of Equations	x+y+z=2 5x+5y+5z=3 4x+y-3z=-6	$x + y + z = 2$ $5 x + 5 y + 5 z = 3$ $4 x + y - 3 z = - 6$
230976	Simplify	2(3-x)-12+4x	$2 (3 - x) - 12 + 4 x$
230977	Find the x and y Intercepts	f(x)=x^2(x+1)(x^2-5)(x-9)(3x+5)(x+1)	$f (x) = x^{2} (x + 1) (x^{2} - 5) (x - 9) (3 x + 5) (x + 1)$
230978	Solve for p	square root of -10-2p = square root of 3p+40	$\sqrt{- 10 - 2 p} = \sqrt{3 p + 40}$
230979	Solve for x	2(x+1)+8(x-1)=5x	$2 (x + 1) + 8 (x - 1) = 5 x$
230980	Solve the Inequality for a	-2(4a+4)+5a>-35	$- 2 (4 a + 4) + 5 a > - 35$
230981	Solve the Inequality for x	-18 square root of 2x-1>-36	$- 18 \sqrt{2 x - 1} > - 36$
230982	Solve the System of Equations	y=2+1/4x 3x-5y=-3	$y = 2 + \frac{1}{4} x$ $3 x - 5 y = - 3$
230983	Find All Complex Solutions	x^4-5x^2+6=0	$x^{4} - 5 x^{2} + 6 = 0$
230984	Evaluate	2/3(1)^(3/2)-4(1)^(1/2)	$\frac{2}{3} {(1)}^{\frac{3}{2}} - 4 {(1)}^{\frac{1}{2}}$
230985	Write with Rational (Fractional) Exponents	( cube root of 5^2)/( fifth root of 5)	$\frac{\sqrt[3]{5^{2}}}{\sqrt[5]{5}}$
230986	Evaluate	((z^2)/(5^4))^4	${(\frac{z^{2}}{5^{4}})}^{4}$
230987	Solve the Inequality for v	-7v+5>=-79	$- 7 v + 5 \geq - 79$
230988	Divide	(125xy^7)/(125x^6y^7)	$\frac{125 x y^{7}}{125 x^{6} y^{7}}$
230989	Graph	f(x)=(g(x))/(2x^2-32)	$f (x) = \frac{g (x)}{2 x^{2} - 32}$
230990	Graph	f(x)=(cos(2x)-cos(x))/(x^2)	$f (x) = \frac{\cos (2 x) - \cos (x)}{x^{2}}$
230991	Solve the Rational Equation for x	(16-x)/(x+10)=(15-x)/(x+9)	$\frac{16 - x}{x + 10} = \frac{15 - x}{x + 9}$
230992	Factor	3(2x-y)^2+2y(2x-y)-5y^2	$3 {(2 x - y)}^{2} + 2 y (2 x - y) - 5 y^{2}$
230993	Solve for x	(2x^2)/(x^2+5x)+1/x=5/(x^2+5x)	$\frac{2 x^{2}}{x^{2} + 5 x} + \frac{1}{x} = \frac{5}{x^{2} + 5 x}$
230994	Evaluate	square root of (4-0)^2+(0-0)^2	$\sqrt{{(4 - 0)}^{2} + {(0 - 0)}^{2}}$
230995	Find g(f(x))	f(x)=8x-1 g(x)=2x	$f (x) = 8 x - 1$ $g (x) = 2 x$
230996	Find the Holes in the Graph	(x^2+x-12)/(3x^2-9x)	$\frac{x^{2} + x - 12}{3 x^{2} - 9 x}$
230997	Simplify	-2/(x^2-10x+24)(x^2-16)/(2-x)(18-3x)/(x^2+4x)	$\frac{- 2}{x^{2} - 10 x + 24} \cdot \frac{x^{2} - 16}{2 - x} \cdot \frac{18 - 3 x}{x^{2} + 4 x}$
230998	Find the Domain and Range	f(x)=((x+2)^2)/2-1	$f (x) = \frac{{(x + 2)}^{2}}{2} - 1$
230999	Solve for θ	sin(theta)^2=cos(theta)^2+1	$\sin^{2} (θ) = \cos^{2} (θ) + 1$
231000	Graph	negative infinity<=y<=infinity	$- \infty \leq y \leq \infty$