Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
217401	Solve for x	2xe^(2x)+e^(2x)=0	$2 x e^{2 x} + e^{2 x} = 0$
217402	Evaluate the Function	f(-5)=3x^4+x^3-2x^2+x+12	$f (- 5) = 3 x^{4} + x^{3} - 2 x^{2} + x + 12$
217403	Multiply	(w+5)(w^2+3w)	$(w + 5) (w^{2} + 3 w)$
217404	Find the Equation Using Point-Slope Formula	(9,-2) and (-3,2)	$(9, - 2)$ and $(- 3, 2)$
217405	Solve for y	x=1/3( fourth root of y)	$x = \frac{1}{3} (\sqrt[4]{y})$
217406	Factor	x^2y-3x^2+5xy-15x	$x^{2} y - 3 x^{2} + 5 x y - 15 x$
217407	Find the Exact Value	3 2/5+4/3	$3 \frac{2}{5} + \frac{4}{3}$
217408	Simplify	square root of 3+ square root of 5-4 square root of 3+6 square root of 5	$\sqrt{3} + \sqrt{5} - 4 \sqrt{3} + 6 \sqrt{5}$
217409	Solve for x	1-2/(x-6)=(3x+2)/(x^2-36)	$1 - \frac{2}{x - 6} = \frac{3 x + 2}{x^{2} - 36}$
217410	Write the Fraction in Simplest Form	(3a^9r^-3)/(-4(a^2)^-1)	$\frac{3 a^{9} r^{- 3}}{- 4 {(a^{2})}^{- 1}}$
217411	Simplify	((y+2)/(4y^2))/((3y+6)/(2y^3))	$\frac{\frac{y + 2}{4 y^{2}}}{\frac{3 y + 6}{2 y^{3}}}$
217412	Solve the Inequality for p	p/8>=-5	$\frac{p}{8} \geq - 5$
217413	Divide	( square root of 200)÷( square root of 5)	$\sqrt{200} \div \sqrt{5}$
217414	Subtract	(4x^2+x-5)-(5x^2-1)	$(4 x^{2} + x - 5) - (5 x^{2} - 1)$
217415	Simplify the Radical Expression	(p^(3/2))^-2	${(p^{\frac{3}{2}})}^{- 2}$
217416	Solve for x	5x<=23	$5 x \leq 23$
217417	Solve the Inequality for d	d/13>=-3	$\frac{d}{13} \geq - 3$
217418	Simplify the Radical Expression	3/( fifth root of 8)	$\frac{3}{\sqrt[5]{8}}$
217419	Convert to a Decimal	The height of a triangle is (7- square root of 2)cm What is the Conjugate of the height	The height of a triangle is $(7 - \sqrt{2})$ $centimeters$ What is the Conjugate of the height?
217420	Solve the Inequality for x	cube root of x-5>=3	$\sqrt[3]{x - 5} \geq 3$
217421	Solve for x	2/x=-7/(x-4)	$\frac{2}{x} = - \frac{7}{x - 4}$
217422	Solve the System of Equations	-4y=8 x+3y-3z=-26 2x-5y+z=19	$- 4 y = 8$ $x + 3 y - 3 z = - 26$ $2 x - 5 y + z = 19$
217423	Evaluate	e^(4/3 natural log of 2-1)	$e^{\frac{4}{3} \ln (2) - 1}$
217424	Simplify	7+10x-x+(-x)	$7 + 10 x - x + (- x)$
217425	Simplify	(x/(1+x))/(1+x/(1+x))	$\frac{\frac{x}{1 + x}}{1 + \frac{x}{1 + x}}$
217426	Solve the Inequality for x	(x/3+2)<4	$(\frac{x}{3} + 2) < 4$
217427	Divide Using Synthetic Division	Use synthetic division to find the result when x^3+10x^2+19x+6 is divided by x+2	Use synthetic division to find the result when $x^{3} + 10 x^{2} + 19 x + 6$ is divided by $x + 2$
217428	Simplify	-12a^4b^2*3ab^3c^2	$- 12 a^{4} b^{2} \cdot 3 a b^{3} c^{2}$
217429	Simplify	(9*10^-3)^2	${(9 \times 10^{- 3})}^{2}$
217430	Identify the Zeros and Their Multiplicities	-x(3x-2)^2(x+9)^5	$- x {(3 x - 2)}^{2} {(x + 9)}^{5}$
217431	Graph	y=1/2tan(x)-1/2	$y = \frac{1}{2} \tan (x) - \frac{1}{2}$
217432	Multiply	(5 square root of 2+4)(5 square root of 2-4)	$(5 \sqrt{2 + 4}) (5 \sqrt{2 - 4})$
217433	Evaluate	(2a+5)/5=(3a+11)/4	$\frac{2 a + 5}{5} = \frac{3 a + 11}{4}$
217434	Solve for X	square root of 4X-11-2 square root of X=1	$\sqrt{4 X - 11} - 2 \sqrt{X} = 1$
217435	Simplify	cos(-x)csc(pi/2-x)	$\cos (- x) \csc (\frac{π}{2} - x)$
217436	Simplify	x/(2x+1)-3/(x+2)	$\frac{x}{2 x + 1} - \frac{3}{x + 2}$
217437	Multiply	square root of 5x* square root of 5x	$\sqrt{5 x} \cdot \sqrt{5 x}$
217438	Simplify	(1/((x-1)^2))÷(x/(x^2-1))	$\frac{1}{{(x - 1)}^{2}} \div \frac{x}{x^{2} - 1}$
217439	Simplify	-(5/7)^3	$- {(\frac{5}{7})}^{3}$
217440	Graph	-7x+3y>-1 5x-9y>-6	$- 7 x + 3 y > - 1$ $5 x - 9 y > - 6$
217441	Find the Domain and Range	g(x) = square root of 1/3(x-1)	$g (x) = \sqrt{\frac{1}{3} (x - 1)}$
217442	Simplify	(5x^3-2x)(3x^2+x-8)	$(5 x^{3} - 2 x) (3 x^{2} + x - 8)$
217443	Simplify	49^(2/10)*7^(1/5)	$49^{\frac{2}{10}} \cdot 7^{\frac{1}{5}}$
217444	Solve for a	16a^2+21a+9=6a^2	$16 a^{2} + 21 a + 9 = 6 a^{2}$
217445	Simplify	square root of 8x^2+2x square root of 2- square root of 20x	$\sqrt{8 x^{2}} + 2 x \sqrt{2} - \sqrt{20 x}$
217446	Multiply	(4x^2-y^2)/(8x^2+10xy+3y^2)*(4x^2-9xy-9y^2)/(2x^2-5xy-3y^2)	$\frac{4 x^{2} - y^{2}}{8 x^{2} + 10 x y + 3 y^{2}} \cdot \frac{4 x^{2} - 9 x y - 9 y^{2}}{2 x^{2} - 5 x y - 3 y^{2}}$
217447	Solve the Inequality for x	x^2+14x-14>9x	$x^{2} + 14 x - 14 > 9 x$
217448	Graph	(5,6) and (0,11)	$(5, 6)$ and $(0, 11)$
217449	Simplify	6.2+8.9w-12-11.2w-6.2	$6.2 + 8.9 w - 12 - 11.2 w - 6.2$
217450	Multiply	(b+4a)^2	${(b + 4 a)}^{2}$
217451	Evaluate	cos(45 degrees )^2	$\cos^{2} (45 °)$
217452	Solve the Inequality for x	(x+3)^2(x-2)(x+5)>=0	${(x + 3)}^{2} (x - 2) (x + 5) \geq 0$
217453	Find the Domain and Range	(x^2)/(x-1)	$\frac{x^{2}}{x - 1}$
217454	Solve for x	natural log of x^2-x+17=3/4	$\ln (x^{2} - x + 17) = \frac{3}{4}$
217455	Convert to a Decimal	-9pirad	$- 9 π$ radians
217456	Solve for y	-20y+15=2-16y+11	$- 20 y + 15 = 2 - 16 y + 11$
217457	Divide Using Long Polynomial Division	(12x^3-9x^2+x+1)/(4x+1)	$\frac{12 x^{3} - 9 x^{2} + x + 1}{4 x + 1}$
217458	Evaluate	(2(5-3))^3-4^2	${(2 (5 - 3))}^{3} - 4^{2}$
217459	Evaluate	1/2 log base 5 of 625	$\frac{1}{2} \log_{5} (625)$
217460	Simplify the Radical Expression	( sixth root of 64)/( cube root of 4)	$\frac{\sqrt[6]{64}}{\sqrt[3]{4}}$
217461	Simplify	x/( fifth root of x^2)	$\frac{x}{\sqrt[5]{x^{2}}}$
217462	Find the Exact Value	7 1/2÷(4 1/2-5 1/8)	$7 \frac{1}{2} \div (4 \frac{1}{2} - 5 \frac{1}{8})$
217463	Simplify the Radical Expression	(a^-2*8^7)^2	${(a^{- 2} \cdot 8^{7})}^{2}$
217464	Solve for x	square root of 5x+6+3 = square root of 3x+3+4	$\sqrt{5 x + 6} + 3 = \sqrt{3 x + 3} + 4$
217465	Solve for f	2f+2-f=6+3f-4f+6	$2 f + 2 - f = 6 + 3 f - 4 f + 6$
217466	Simplify	(4y+3)(4y-3z)^2	$(4 y + 3) {(4 y - 3 z)}^{2}$
217467	Evaluate	square root of x+75 = square root of x-5	$\sqrt{x + 75} = \sqrt{x} - 5$
217468	Write the Fraction in Simplest Form	(6c^7u^-8)/((-3u^-2)^2)	$\frac{6 c^{7} u^{- 8}}{{(- 3 u^{- 2})}^{2}}$
217469	Simplify	i^123i^22i^8	$i^{12} \cdot 3 i^{2} \cdot 2 i^{8}$
217470	Simplify	8(5-3i)+i(3+2i)	$8 (5 - 3 i) + i (3 + 2 i)$
217471	Convert to a Decimal	340deg	$340$ degrees
217472	Simplify	0.5(8*10^5)	$0.5 (8 \times 10^{5})$
217473	Factor	x^9+8x^3=(x^3)^3+(2x)^3	$x^{9} + 8 x^{3} = {(x^{3})}^{3} + {(2 x)}^{3}$
217474	Simplify	square root of (x^14)/3	$\sqrt{\frac{x^{14}}{3}}$
217475	Evaluate	1/x=3/(x+2)-2/(x-3)	$\frac{1}{x} = \frac{3}{x + 2} - \frac{2}{x - 3}$
217476	Solve for n	cube root of n+8-6=-3	$\sqrt[3]{n + 8} - 6 = - 3$
217477	Solve for x	(5+8x)^(1/3)-2=0	${(5 + 8 x)}^{\frac{1}{3}} - 2 = 0$
217478	Solve for k	-2k>18	$- 2 k > 18$
217479	Simplify	3/5-7/4+1/2	$\frac{3}{5} - \frac{7}{4} + \frac{1}{2}$
217480	Simplify the Radical Expression	(3- square root of 2)(3+ square root of 2)	$(3 - \sqrt{2}) (3 + \sqrt{2})$
217481	Simplify	sin(y)sec(pi/2-y)	$\sin (y) \sec (\frac{π}{2} - y)$
217482	Evaluate	sin(x)+cos(x)=1	$\sin (x) + \cos (x) = 1$
217483	Simplify	(5 square root of 3+ square root of 2)(5 square root of 3- square root of 2)	$(5 \sqrt{3} + \sqrt{2}) (5 \sqrt{3} - \sqrt{2})$
217484	Solve the Rational Equation for m	4 square root of 5m-20=16	$4 \sqrt{5 m - 20} = 16$
217485	Find the Roots (Zeros)	P(x)=(x+2)(x-3)(3x-1)	$P (x) = (x + 2) (x - 3) (3 x - 1)$
217486	Solve the System of Inequalities	-4x<=-28 or x/4<1	$- 4 x \leq - 28$ or $\frac{x}{4} < 1$
217487	Simplify	((3x)/(x+2))÷((6x^2)/(x^2-x-6))	$\frac{3 x}{x + 2} \div \frac{6 x^{2}}{x^{2} - x - 6}$
217488	Solve the Inequality for z	z+3>2/3	$z + 3 > \frac{2}{3}$
217489	Solve for x	2/(x^2-6x+8)=1/(x-4)+2/(x-2)	$\frac{2}{x^{2} - 6 x + 8} = \frac{1}{x - 4} + \frac{2}{x - 2}$
217490	Simplify	(5b+6b^3)+(7b^3+8b)	$(5 b + 6 b^{3}) + (7 b^{3} + 8 b)$
217491	Solve the Inequality for m	35<7m	$35 < 7 m$
217492	Solve by Factoring	8x^2+5x-4=2x^2-8x+1	$8 x^{2} + 5 x - 4 = 2 x^{2} - 8 x + 1$
217493	Write the Fraction in Simplest Form	(-12y^-8)/((-3y^-1)^4)	$\frac{- 12 y^{- 8}}{{(- 3 y^{- 1})}^{4}}$
217494	Simplify	(x-3)/(x^2-64)+11/(x^2-64)	$\frac{(x - 3)}{x^{2} - 64} + \frac{11}{x^{2} - 64}$
217495	Graph	4x-2y=-8 y=2x+4	$4 x - 2 y = - 8$ $y = 2 x + 4$
217496	Find All Complex Solutions	3\|5-x\|+2=29	$3 \| 5 - x \| + 2 = 29$
217497	Simplify	((10x-8)/(x+2))÷((25x^2-16)/(2x-4))	$\frac{10 x - 8}{x + 2} \div \frac{25 x^{2} - 16}{2 x - 4}$
217498	Evaluate	sin(x)(tan(x)+cot(x))	$\sin (x) (\tan (x) + \cot (x))$
217499	Simplify	5x2y^2-5x3xy-x^2y+6xy^2	$5 x \cdot 2 y^{2} - 5 x \cdot 3 x y - x^{2} y + 6 x y^{2}$
217500	Solve for x	3(x^2+2)=18	$3 (x^{2} + 2) = 18$