Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
219501	Simplify	((x^-1)/(2y^2))^-5	${(\frac{x^{- 1}}{2 y^{2}})}^{- 5}$
219502	Simplify	(3 square root of 3-2 square root of 2)* square root of 6	$(3 \sqrt{3} - 2 \sqrt{2}) \cdot \sqrt{6}$
219503	Simplify	(x-10)/(x^2-17x+70)(x^2-16x+63)/(x-9)6/(3x)	$\frac{x - 10}{x^{2} - 17 x + 70} \cdot \frac{x^{2} - 16 x + 63}{x - 9} \cdot \frac{6}{3 x}$
219504	Simplify	(x+1)(2x)	$(x + 1) (2 x)$
219505	Simplify	square root of 64+ cube root of 8	$\sqrt{64} + \sqrt[3]{8}$
219506	Factor	b^2+4a^2-4ab	$b^{2} + 4 a^{2} - 4 a b$
219507	Solve for x	sin(x)=1+cos(x)	$\sin (x) = 1 + \cos (x)$
219508	Solve the System of Inequalities	y>1/5x+3 y>=-3/5x-1	$y > \frac{1}{5} x + 3$ $y \geq - \frac{3}{5} x - 1$
219509	Solve for y	y/4-(3x)/4=1/2	$\frac{y}{4} - \frac{3 x}{4} = \frac{1}{2}$
219510	Solve for s	square root of s^2-1 = square root of 5s-5	$\sqrt{s^{2} - 1} = \sqrt{5 s - 5}$
219511	Find the Degree, Leading Term, and Leading Coefficient	h(x)=-5x^4+7x^3-6x^2+9x+2	$h (x) = - 5 x^{4} + 7 x^{3} - 6 x^{2} + 9 x + 2$
219512	Solve for y	x=1/2y^2	$x = \frac{1}{2} y^{2}$
219513	Solve for x	square root of 4x-4-2<4	$\sqrt{4 x - 4} - 2 < 4$
219514	Multiply	(4x^2y+3xy-x^2)(-x^3y^2)	$(4 x^{2} y + 3 x y - x^{2}) (- x^{3} y^{2})$
219515	Solve the Inequality for x	-2+ square root of 9-5x>=6	$- 2 + \sqrt{9 - 5 x} \geq 6$
219516	Solve the System of Equations	2x+9y-4z=-5 -x+2y-z=-3 x-4y+2z=4	$2 x + 9 y - 4 z = - 5$ $- x + 2 y - z = - 3$ $x - 4 y + 2 z = 4$
219517	Solve for b	a=-bc+d	$a = - b c + d$
219518	Write in Standard Form	(2x^2-2x+6)+(11x^3-x^2-2+5x)	$(2 x^{2} - 2 x + 6) + (11 x^{3} - x^{2} - 2 + 5 x)$
219519	Evaluate	limit as x approaches infinity of sin(x)	$lim_{x \to \infty} \sin (x)$
219520	Simplify the Radical Expression	21 root of c^-3*c^-4	$\sqrt[21]{c^{- 3} \cdot c^{- 4}}$
219521	Solve for x	log of (4x-3)^2=x-3	$\log ({(4 x - 3)}^{2}) = x - 3$
219522	Evaluate	(6-5)+4-2*3^2	$(6 - 5) + 4 - 2 \cdot 3^{2}$
219523	Simplify	((x^2-12x+32)/(2x^3-18x^2+40x)*(x^2-1)/(x^2-7x-8))÷((x^2+4x-5)/(25-x^2))	$\frac{x^{2} - 12 x + 32}{2 x^{3} - 18 x^{2} + 40 x} \cdot \frac{x^{2} - 1}{x^{2} - 7 x - 8} \div \frac{x^{2} + 4 x - 5}{25 - x^{2}}$
219524	Simplify	((-2d^2+d+15)/(9-d^2))÷((4d+1)/(2d^2+11d+15))	$\frac{- 2 d^{2} + d + 15}{9 - d^{2}} \div \frac{4 d + 1}{2 d^{2} + 11 d + 15}$
219525	Simplify	square root of (79a^2b^2)/(9a^2b^2)	$\sqrt{\frac{79 a^{2} b^{2}}{9 a^{2} b^{2}}}$
219526	Solve for x	y=x^6	$y = x^{6}$
219527	Evaluate	3(8+-5)	$3 (8 + - 5)$
219528	Find the Roots (Zeros)	3x^2+66=-30x	$3 x^{2} + 66 = - 30 x$
219529	Solve for r	6^(2r-3)=6^(r-3)	$6^{2 r - 3} = 6^{r - 3}$
219530	Simplify	square root of xy^2z^3+ square root of 9xy^2z^3	$\sqrt{x y^{2} z^{3}} + \sqrt{9 x y^{2} z^{3}}$
219531	Evaluate	(5-11)/2+7(8)	$\frac{5 - 11}{2} + 7 (8)$
219532	Find the Parallel Line	What is an equation of the line that passes through the point (-8,0) and is parallel to the line x-2y=10 ?	What is an equation of the line that passes through the point $(- 8, 0)$ and is parallel to the line $x - 2 y = 10$ ?
219533	Write in Slope-Intercept Form	4/7y=x+4	$\frac{4}{7} y = x + 4$
219534	Evaluate	square root of 8*2	$\sqrt{8} \cdot 2$
219535	Write in Slope-Intercept Form	(-3,3) and (1,2)	$(- 3, 3)$ and $(1, 2)$
219536	Graph	y<=2(x-3)^2	$y \leq 2 {(x - 3)}^{2}$
219537	Simplify	(1-25/(k^2))/(1-7/k+10/(k^2))	$\frac{1 - \frac{25}{k^{2}}}{1 - \frac{7}{k} + \frac{10}{k^{2}}}$
219538	Find the Roots (Zeros)	f(x)=x^4+x^3-4x^2-4x	$f (x) = x^{4} + x^{3} - 4 x^{2} - 4 x$
219539	Solve the Inequality for p	-p/7>-9	$- \frac{p}{7} > - 9$
219540	Simplify	square root of x*(- square root of x)	$\sqrt{x} \cdot (- \sqrt{x})$
219541	Simplify	2/(2^2)	$\frac{2}{2^{2}}$
219542	Solve for x	6^2=5^2+x^2	$6^{2} = 5^{2} + x^{2}$
219543	Simplify	(11x^5+7x^3-2x)/(x^2)	$\frac{11 x^{5} + 7 x^{3} - 2 x}{x^{2}}$
219544	Solve for x	4/(x-2)-2/x=14/(x^2-2x)	$\frac{4}{x - 2} - \frac{2}{x} = \frac{14}{x^{2} - 2 x}$
219545	Round to the Nearest Whole Number	7/8	$\frac{7}{8}$
219546	Factor	(a^6-b^6)	$(a^{6} - b^{6})$
219547	Simplify	(3y+8y^2+2)-3(y^2-2y+5)	$(3 y + 8 y^{2} + 2) - 3 (y^{2} - 2 y + 5)$
219548	Write the Fraction in Simplest Form	(9 square root of 2)/( square root of 10+ square root of 18)	$\frac{9 \sqrt{2}}{\sqrt{10} + \sqrt{18}}$
219549	Convert to Radical Form	(6a^2b^3)^(-1/2)	${(6 a^{2} b^{3})}^{- \frac{1}{2}}$
219550	Simplify	4/(x+5)+(2x)/(x^2-25)	$\frac{4}{x + 5} + \frac{2 x}{x^{2} - 25}$
219551	Rationalize the Denominator	4/( cube root of 2x)	$\frac{4}{\sqrt[3]{2 x}}$
219552	Simplify	square root of (4- square root of 3)^2+ square root of 28+10 square root of 3	$\sqrt{{(4 - \sqrt{3})}^{2}} + \sqrt{28 + 10 \sqrt{3}}$
219553	Factor	x^3-4x^2y-xy^2+4y^3	$x^{3} - 4 x^{2} y - x y^{2} + 4 y^{3}$
219554	Divide	1÷(( square root of 2)/2)	$1 \div \frac{\sqrt{2}}{2}$
219555	Solve for I	I/175.393+0.663=r	$\frac{I}{175.393} + 0.663 = r$
219556	Convert to a Decimal	-11pirad	$- 11 π$ radians
219557	Simplify	(7x^3+7x^2-4)+(x^3-5x^2-3x+8)	$(7 x^{3} + 7 x^{2} - 4) + (x^{3} - 5 x^{2} - 3 x + 8)$
219558	Solve for x	3x^2=2+x	$3 x^{2} = 2 + x$
219559	Evaluate	1 2/3-(-5 2/3)	$1 \frac{2}{3} - (- 5 \frac{2}{3})$
219560	Find the Exact Value	2-(9-(4-3))	$2 - (9 - (4 - 3))$
219561	Write in Slope-Intercept Form	(-4,13) and (-2,6)	$(- 4, 13)$ and $(- 2, 6)$
219562	Solve for x	-10+4x-5x=-7-2+8x	$- 10 + 4 x - 5 x = - 7 - 2 + 8 x$
219563	Simplify	(5x(y+2))/(6y+12)	$\frac{5 x (y + 2)}{6 y + 12}$
219564	Find the Exact Value	tan(2)(-1/3)	$\tan (2) (- \frac{1}{3})$
219565	Solve the System of Inequalities	3/4x+7<1 or 9(4-x)<=36	$\frac{3}{4} x + 7 < 1$ or $9 (4 - x) \leq 36$
219566	Solve for b	(6b)^(1/2)=(8-2b)^(1/2)	${(6 b)}^{\frac{1}{2}} = {(8 - 2 b)}^{\frac{1}{2}}$
219567	Solve for x	10/(2x+8)=10	$\frac{10}{2 x + 8} = 10$
219568	Solve the System of Equations	x+y=3 y=x-5	$x + y = 3$ $y = x - 5$
219569	Solve the System of Equations	x=2y+5 y=(2x-3)(x+9)	$x = 2 y + 5$ $y = (2 x - 3) (x + 9)$
219570	Find the GCF	x^5y^2+x^2y^7z	$x^{5} y^{2} + x^{2} y^{7} z$
219571	Simplify	zx^-3y^0*2zx^-1y^-1	$z x^{- 3} y^{0} \cdot 2 z x^{- 1} y^{- 1}$
219572	Subtract	(8b^3-6+3b^4)-(b^4-7b^3-3)	$(8 b^{3} - 6 + 3 b^{4}) - (b^{4} - 7 b^{3} - 3)$
219573	Evaluate	(52^32-42^30)/(4^16)	$\frac{5 \cdot 2^{32} - 4 \cdot 2^{30}}{4^{16}}$
219574	Simplify	1/20+2/(5x^3)	$\frac{1}{20} + \frac{2}{5 x^{3}}$
219575	Divide	(-30x^3y+12x^2y^2-18x^2y)÷(-6x^2y)	$(- 30 x^{3} y + 12 x^{2} y^{2} - 18 x^{2} y) \div (- 6 x^{2} y)$
219576	Solve for x	x^3-x=3x^2+1	$x^{3} - x = 3 x^{2} + 1$
219577	Simplify	((x-1)/(x+1))÷((x^2-2x+1)/(x^2-x-2))	$\frac{x - 1}{x + 1} \div \frac{x^{2} - 2 x + 1}{x^{2} - x - 2}$
219578	Solve by Substitution	5x+2y=9 and x+y=-3	$5 x + 2 y = 9$ and $x + y = - 3$
219579	Simplify	(mn+1)(m^2n-1)(mn^2+2)	$(m n + 1) (m^{2} n - 1) (m n^{2} + 2)$
219580	Solve by Substitution	x-6y+4=0 y=-3	$x - 6 y + 4 = 0$ $y = - 3$
219581	Simplify	x/(x-2)+5/x	$\frac{x}{x - 2} + \frac{5}{x}$
219582	Simplify	square root of 15x^2 square root of 15x	$\sqrt{15 x^{2}} \sqrt{15 x}$
219583	Evaluate	0.04(8(2)-(2)^2)	$0.04 (8 (2) - {(2)}^{2})$
219584	Simplify	8+7(2x-9)+x	$8 + 7 (2 x - 9) + x$
219585	Simplify	(2x)/(x^2+3x+2)-x/(x^2-4)	$\frac{2 x}{x^{2} + 3 x + 2} - \frac{x}{x^{2} - 4}$
219586	Graph	e^(-\|x\|)	$e^{- \| x \|}$
219587	Divide Using Synthetic Division	Use synthetic division to find the result when 4x^4-9x^3-30x^2+13x-20 is divided by x-4	Use synthetic division to find the result when $4 x^{4} - 9 x^{3} - 30 x^{2} + 13 x - 20$ is divided by $x - 4$
219588	Simplify	(6-8x)/(4x^2-3x)	$\frac{6 - 8 x}{4 x^{2} - 3 x}$
219589	Solve the System of Inequalities	5x+2y>19 x+y>=5	$5 x + 2 y > 19$ $x + y \geq 5$
219590	Determine the Possible Number of Real Roots	cube root of -27	$\sqrt[3]{- 27}$
219591	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 -3/2 ?	What is the equation of the line that passes through the point $(- 6, 2)$ and has a slope of $- \frac{3}{2}$ ?
219592	Factor	(9x+10)^2-4x(9x+10)	${(9 x + 10)}^{2} - 4 x (9 x + 10)$
219593	Find the LCD	(7x)/(x+2) and 5/(2x)	$\frac{7 x}{x + 2}$ and $\frac{5}{2 x}$
219594	Graph	y=-2 natural log of x-1+1	$y = - 2 \ln (x - 1) + 1$
219595	Factor	(m+n)^4(m-n)-(m-n)^4(m+n)	${(m + n)}^{4} (m - n) - {(m - n)}^{4} (m + n)$
219596	Divide Using Long Polynomial Division	(x^5-4x^3+4x^2)÷(x-4)	$(x^{5} - 4 x^{3} + 4 x^{2}) \div (x - 4)$
219597	Find the LCD	(3x^2+4x+1)/(x^2-4)-(x^2+8x+12)/(x+1)	$\frac{3 x^{2} + 4 x + 1}{x^{2} - 4} - \frac{x^{2} + 8 x + 12}{x + 1}$
219598	Simplify	Find 4(-3x+1)+(6x+3)	Find $4 (- 3 x + 1) + (6 x + 3)$
219599	Evaluate	1*2/( square root of 2)	$1 \cdot \frac{2}{\sqrt{2}}$
219600	Graph	16>=-x+6>5	$16 \geq - x + 6 > 5$