Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
220901	Solve for y	2(d^2)/(dx^2)y-7d/(dx)y-4=0	$2 \cdot \frac{d^{2}}{d x^{2}} y - 7 \cdot \frac{d}{d x} y - 4 = 0$
220902	Solve the Inequality for p	p-3>-8	$p - 3 > - 8$
220903	Simplify	log of 2+ log of 5	$\log (2) + \log (5)$
220904	Simplify	4/(x+1)+(x+2)/(x^2-1)+3/(x-1)	$\frac{4}{x + 1} + \frac{x + 2}{x^{2} - 1} + \frac{3}{x - 1}$
220905	Simplify	(12(p+q))/(4(p-q))	$\frac{12 (p + q)}{4 (p - q)}$
220906	Simplify	x3/4*x1/5	$x \frac{3}{4} \cdot x \frac{1}{5}$
220907	Solve for d	x^2+2x-15=(ax+b)(cx+d)	$x^{2} + 2 x - 15 = (a x + b) (c x + d)$
220908	Solve the Inequality for x	1/x-4<0	$\frac{1}{x} - 4 < 0$
220909	Subtract	1/(5m)-2/(3n)	$\frac{1}{5 m} - \frac{2}{3 n}$
220910	Simplify	((2m^5n)/(4m^2))^2*((mn^4)/(5n))^2	${(\frac{2 m^{5} n}{4 m^{2}})}^{2} \cdot {(\frac{m n^{4}}{5 n})}^{2}$
220911	Solve for y	2xy+6y=0	$2 x y + 6 y = 0$
220912	Simplify	((x^(-1/3)y)/(x^(2/3)y^(-1/2)))^2	${(\frac{x^{- \frac{1}{3}} y}{x^{\frac{2}{3}} y^{- \frac{1}{2}}})}^{2}$
220913	Solve for x	x/3=x/8+6	$\frac{x}{3} = \frac{x}{8} + 6$
220914	Simplify the Radical Expression	square root of 100- square root of -2- square root of 9+ square root of -162	$\sqrt{100} - \sqrt{- 2} - \sqrt{9} + \sqrt{- 162}$
220915	Solve Using the Square Root Property	16-3x^2=13	$16 - 3 x^{2} = 13$
220916	Solve the Rational Equation for x	square root of x+1 = square root of x+9	$\sqrt{x} + 1 = \sqrt{x + 9}$
220917	Simplify	((a+b)^2)/((-a-b)^2)	$\frac{{(a + b)}^{2}}{{(- a - b)}^{2}}$
220918	Solve for x	-\|2/3x+5\|-16=-10	$- \| \frac{2}{3} x + 5 \| - 16 = - 10$
220919	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (1,7) and has a slope of -1 ?	What is the equation of the line that passes through the point $(1, 7)$ and has a slope of $- 1$ ?
220920	Evaluate	x^2=36/49	$x^{2} = \frac{36}{49}$
220921	Solve for u	9x-7i>9x-21u	$9 x - 7 i > 9 x - 21 u$
220922	Divide Using Long Polynomial Division	(2x^3+11x^2-21x)/(x^2+3x)	$\frac{2 x^{3} + 11 x^{2} - 21 x}{x^{2} + 3 x}$
220923	Solve the Rational Equation for v	6 = square root of v-2	$6 = \sqrt{v - 2}$
220924	Evaluate	(( square root of 3)/2)÷(-1/2)	$\frac{\sqrt{3}}{2} \div \frac{- 1}{2}$
220925	Solve for x	-21=3(-3x+6)+7(1-2x)	$- 21 = 3 (- 3 x + 6) + 7 (1 - 2 x)$
220926	Simplify	-2/3n^2(-9n^2+3n+6)	$- \frac{2}{3} n^{2} (- 9 n^{2} + 3 n + 6)$
220927	Simplify	(4 square root of x^2)/(6 square root of y^3)	$\frac{4 \sqrt{x^{2}}}{6 \sqrt{y^{3}}}$
220928	Factor	3x(x^2-4)(5-3x)	$3 x (x^{2} - 4) (5 - 3 x)$
220929	Evaluate	64^(1/3)+9^(-1/2)	$64^{\frac{1}{3}} + 9^{- \frac{1}{2}}$
220930	Evaluate	20% of 120	$20 %$ of $120$
220931	Simplify	1/(cos(x)^2)+1/(sin(x)^2)	$\frac{1}{\cos^{2} (x)} + \frac{1}{\sin^{2} (x)}$
220932	Solve for b	(x^2+bx-2)(x+3)=x^3+6x^2+7x-6	$(x^{2} + b x - 2) (x + 3) = x^{3} + 6 x^{2} + 7 x - 6$
220933	Solve for n	16n^2-10n-5=6n	$16 n^{2} - 10 n - 5 = 6 n$
220934	Find the LCD	4/(2x+1) and 1/(9x)	$\frac{4}{2 x + 1}$ and $\frac{1}{9 x}$
220935	Solve for p	(3p+7)(3p-7)(p+8)=0	$(3 p + 7) (3 p - 7) (p + 8) = 0$
220936	Evaluate Using the Given Value	2x^3-3x^2+4 for x=-2	$2 x^{3} - 3 x^{2} + 4$ for $x = - 2$
220937	Evaluate	20% of 35	$20 %$ of $35$
220938	Find the Equation Using Point-Slope Formula	through: (3,-1) , slope=-1	through: $(3, - 1)$ , $s l o p e = - 1$
220939	Solve by Graphing	-5x+3y=51 y=10x-8	$- 5 x + 3 y = 51$ $y = 10 x - 8$
220940	Multiply	3x(2x^2+x-4)	$3 x (2 x^{2} + x - 4)$
220941	Convert to Radical Form	6/(6^(1/4))	$\frac{6}{6^{\frac{1}{4}}}$
220942	Write in Standard Form	(-10x^2-1)+(-8x^2+8x-8)	$(- 10 x^{2} - 1) + (- 8 x^{2} + 8 x - 8)$
220943	Simplify the Radical Expression	x^-2*x^(11/9)	$x^{- 2} \cdot x^{\frac{11}{9}}$
220944	Simplify	( square root of 5x^3)^2	${(\sqrt{5 x^{3}})}^{2}$
220945	Simplify	3 square root of ab^2-b square root of a	$3 \sqrt{a b^{2}} - b \sqrt{a}$
220946	Write in Standard Form	2/3y=-2x+1	$\frac{2}{3} y = - 2 x + 1$
220947	Simplify	(6a^5+a^2-5b^3)-(3a^3+6a^2-2b^3)	$(6 a^{5} + a^{2} - 5 b^{3}) - (3 a^{3} + 6 a^{2} - 2 b^{3})$
220948	Simplify	(-9c^4-5c^3-c^2)÷(c^3)	$(- 9 c^{4} - 5 c^{3} - c^{2}) \div c^{3}$
220949	Simplify	(4^-8*4^0)/(4^5)	$\frac{4^{- 8} \cdot 4^{0}}{4^{5}}$
220950	Find the Degree, Leading Term, and Leading Coefficient	f(x)=(2x^3)/3+5/3+15x	$f (x) = \frac{2 x^{3}}{3} + \frac{5}{3} + 15 x$
220951	Evaluate	5 cube root of 729-24	$5 \sqrt[3]{729 - 24}$
220952	Simplify	(5^2b^3)^(2/3)	${(5^{2} b^{3})}^{\frac{2}{3}}$
220953	Solve for x	2x+2y=4y+x	$2 x + 2 y = 4 y + x$
220954	Solve the System of Equations	x+2y+3z=2 2x+4y+6z=4 3x+6y+12z=6	$x + 2 y + 3 z = 2$ $2 x + 4 y + 6 z = 4$ $3 x + 6 y + 12 z = 6$
220955	Evaluate	4(5)^4-24(5)^(1/3)	$4 {(5)}^{4} - 24 {(5)}^{\frac{1}{3}}$
220956	Solve the System of Equations	y=2x 3x+y=20	$y = 2 x$ $3 x + y = 20$
220957	Find the x and y Intercepts	xy-2y-3=0	$x y - 2 y - 3 = 0$
220958	Simplify	((3^3)^2+(3^2)^3+3^2*3^4)/9	$\frac{{(3^{3})}^{2} + {(3^{2})}^{3} + 3^{2} \cdot 3^{4}}{9}$
220959	Factor	4x(5x^2+8)+7(5x^2+8)	$4 x (5 x^{2} + 8) + 7 (5 x^{2} + 8)$
220960	Find the Exact Value	9+4-3	$9 + 4 - 3$
220961	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-3,7) and has a slope of -3 ?	What is the equation of the line that passes through the point $(- 3, 7)$ and has a slope of $- 3$ ?
220962	Find the Exact Value	sin(630 degrees )	$\sin (630 °)$
220963	Find the Quotient	(x^3+2x^2-1)÷(x^2+x+1)	$(x^{3} + 2 x^{2} - 1) \div (x^{2} + x + 1)$
220964	Simplify	((x-1)^3-1)^3	${({(x - 1)}^{3} - 1)}^{3}$
220965	Simplify	( square root of 8x)(5 square root of 2x)	$(\sqrt{8 x}) (5 \sqrt{2 x})$
220966	Simplify the Radical Expression	fourth root of 16x	$\sqrt[4]{16 x}$
220967	Evaluate	log of x+2+ log of x-2=1- log of 2	$\log (x + 2) + \log (x - 2) = 1 - \log (2)$
220968	Solve for x	2.1(2.3+2.1x)=11.65+x	$2.1 (2.3 + 2.1 x) = 11.65 + x$
220969	Simplify	((6x+9)/(15x^2))/((16x-12)/(10x^4))	$\frac{\frac{6 x + 9}{15 x^{2}}}{\frac{16 x - 12}{10 x^{4}}}$
220970	Evaluate	(5+3I)+(2-8I)	$(5 + 3 I) + (2 - 8 I)$
220971	Simplify	(1+ square root of 7x)^2	${(1 + \sqrt{7 x})}^{2}$
220972	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^4+8x^3+5x^2+8x+12 is divided by x+2	Use synthetic division to find the result when $3 x^{4} + 8 x^{3} + 5 x^{2} + 8 x + 12$ is divided by $x + 2$
220973	Solve for h	t=2rpih+2pir^2	$t = 2 r π h + 2 π r^{2}$
220974	Convert to a Decimal	cos(0)deg	$\cos (0)$ degrees
220975	Solve for k	natural log of k = natural log of A-E_a/(RT)	$\ln (k) = \ln (A) - \frac{E_{a}}{R T}$
220976	Solve the Inequality for x	-3<3/4x	$- 3 < \frac{3}{4} x$
220977	Simplify	(9x^3 square root of 12)/(8 square root of 20x)	$\frac{9 x^{3} \sqrt{12}}{8 \sqrt{20 x}}$
220978	Solve for x	square root of 12-x+10x=11x	$\sqrt{12 - x} + 10 x = 11 x$
220979	Find the Complex Conjugate	(5+ square root of 7)	$(5 + \sqrt{7})$
220980	Simplify	2/(2pi)	$\frac{2}{2 π}$
220981	Solve the Inequality for r	9>-r	$9 > - r$
220982	Solve for y	4(5+y)-6(2+y)=4	$4 (5 + y) - 6 (2 + y) = 4$
220983	Evaluate	((2-(-4))^2)÷(1+3)	${(2 - (- 4))}^{2} \div (1 + 3)$
220984	Simplify	2 cube root of 16+ cube root of 54-5 cube root of 128	$2 \sqrt[3]{16} + \sqrt[3]{54} - 5 \sqrt[3]{128}$
220985	Solve for n	0.5% of what number is 12 ?	$0.5 %$ of what number is $12$ ?
220986	Simplify the Radical Expression	fifth root of cube root of 8c^2	$\sqrt[5]{\sqrt[3]{8 c^{2}}}$
220987	Divide Using Long Polynomial Division	Use the long division method to find the result when 9x^3+30x^2+24x+5 is divided by 3x+1	Use the long division method to find the result when $9 x^{3} + 30 x^{2} + 24 x + 5$ is divided by $3 x + 1$
220988	Divide	( square root of 3)÷( square root of 3)	$\sqrt{3} \div \sqrt{3}$
220989	Solve for z	-6(17z+16)=9(-11z-10)+3z	$- 6 (17 z + 16) = 9 (- 11 z - 10) + 3 z$
220990	Solve the Rational Equation for y	square root of y=10	$\sqrt{y} = 10$
220991	Simplify the Radical Expression	square root of x^2-8x+16	$\sqrt{x^{2} - 8 x + 16}$
220992	Find the Excluded Values	(a^2m+4m)/(a^2+4)	$\frac{a^{2} m + 4 m}{a^{2} + 4}$
220993	Solve for a	(b^2)^a=b^8	${(b^{2})}^{a} = b^{8}$
220994	Subtract	(8.3x^2+0.9xy+3.6)-(7.4x^2-1.7xy+6.4)	$(8.3 x^{2} + 0.9 x y + 3.6) - (7.4 x^{2} - 1.7 x y + 6.4)$
220995	Simplify	( square root of 10x^4)/( square root of 20x^2)	$\frac{\sqrt{10 x^{4}}}{\sqrt{20 x^{2}}}$
220996	Find the Roots (Zeros)	0=x^3-3x-52	$0 = x^{3} - 3 x - 52$
220997	Simplify	(3e^(x+h)-3e^x)/h	$\frac{3 e^{x + h} - 3 e^{x}}{h}$
220998	Simplify	(2a^3b^3+10ab^3)-(-14ab^3+9ab^4-12a^3b^3)+(6ab^4-5a^3b^3)	$(2 a^{3} b^{3} + 10 a b^{3}) - (- 14 a b^{3} + 9 a b^{4} - 12 a^{3} b^{3}) + (6 a b^{4} - 5 a^{3} b^{3})$
220999	Solve for x	square root of 2x = square root of x+7-1	$\sqrt{2 x} = \sqrt{x + 7} - 1$
221000	Solve for x	3(x+2)+x=2x+16	$3 (x + 2) + x = 2 x + 16$