Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
222201	Simplify	(9z^5-8z^3+4z^2+7z)÷(-2z)	$(9 z^{5} - 8 z^{3} + 4 z^{2} + 7 z) \div (- 2 z)$
222202	Simplify	(x^2z^3)(xy^2z)	$(x^{2} z^{3}) (x y^{2} z)$
222203	Simplify	(4x)/(x^2-1)+(3x)/(1-x)-4/(x+1)	$\frac{4 x}{(x^{2} - 1)} + \frac{3 x}{(1 - x)} - \frac{4}{(x + 1)}$
222204	Multiply	4i*(-7+i)	$4 i \cdot (- 7 + i)$
222205	Solve for z	15(1/3)z=5	$15 (\frac{1}{3}) z = 5$
222206	Simplify	sixth root of x* fifth root of x*12 root of x^5	$\sqrt[6]{x} \cdot \sqrt[5]{x} \cdot \sqrt[12]{x^{5}}$
222207	Subtract	-5 1/4-(-7 1/2)	$- 5 \frac{1}{4} - (- 7 \frac{1}{2})$
222208	Convert to Radical Form	(8^(2/3))/(8^(1/3))	$\frac{8^{\frac{2}{3}}}{8^{\frac{1}{3}}}$
222209	Find the Holes in the Graph	(x^2+3x)/(x^2+5x+6)	$\frac{x^{2} + 3 x}{x^{2} + 5 x + 6}$
222210	Evaluate	(3(-3)+2(-4))/2	$\frac{3 (- 3) + 2 (- 4)}{2}$
222211	Find All Complex Solutions	x^4=-2-2 square root of 3i	$x^{4} = - 2 - 2 \sqrt{3} i$
222212	Simplify	fourth root of (x^9y^7)/(xy^3)	$\sqrt[4]{\frac{x^{9} y^{7}}{x y^{3}}}$
222213	Evaluate	i^9i^6i^8	$i^{9} \cdot i^{6} \cdot i^{8}$
222214	Find the Degree, Leading Term, and Leading Coefficient	h(t)=-8t^2+5-3t^3	$h (t) = - 8 t^{2} + 5 - 3 t^{3}$
222215	Combine Like Terms	2+3x-4x+6	$2 + 3 x - 4 x + 6$
222216	Solve the Absolute Value Inequality for x	\|x-2\|+3<0	$\| x - 2 \| + 3 < 0$
222217	Solve for m	8(-1+m)+3=2(m-5 1/2)	$8 (- 1 + m) + 3 = 2 (m - 5 \frac{1}{2})$
222218	Evaluate	1+cot(theta)^2=csc(theta)^2	$1 + \cot^{2} (θ) = \csc^{2} (θ)$
222219	Simplify	12^(1/8)*12^(5/6)	$12^{\frac{1}{8}} \cdot 12^{\frac{5}{6}}$
222220	Simplify	(x^2y^0z^5)^-5	${(x^{2} y^{0} z^{5})}^{- 5}$
222221	Graph	g(x)=-3/4x+2,x<=4; 1/2x-3,x>4	$g (x) = {\begin{cases} - \frac{3}{4} x + 2, x \leq 4 \\ \frac{1}{2} x - 3, x > 4 \end{cases}$
222222	Write in Standard Form	(x-y)(x^2+2xy+y^2)	$(x - y) (x^{2} + 2 x y + y^{2})$
222223	Simplify	((m^-3n^4)/(n^-2))^4	${(\frac{m^{- 3} n^{4}}{n^{- 2}})}^{4}$
222224	Simplify	(2x^-4y^(1/4))/( square root of 25x^4y)	$\frac{2 x^{- 4} y^{\frac{1}{4}}}{\sqrt{25 x^{4} y}}$
222225	Subtract	9 fourth root of 5x- fourth root of 80x	$9 \sqrt[4]{5 x} - \sqrt[4]{80 x}$
222226	Solve the Rational Equation for x	x/(x-1)=-2/(x-3)	$\frac{x}{x - 1} = - \frac{2}{x - 3}$
222227	Solve for x	(x-2)/3>x+4	$\frac{x - 2}{3} > x + 4$
222228	Solve the Inequality for x	-20+x>=-(20-x)	$- 20 + x \geq - (20 - x)$
222229	Solve for t	-17-6(7t+18)=-20t+19+2t	$- 17 - 6 (7 t + 18) = - 20 t + 19 + 2 t$
222230	Graph	y=-3x+6x^2-1	$y = - 3 x + 6 x^{2} - 1$
222231	Graph	5-y<=-3x	$5 - y \leq - 3 x$
222232	Convert to Logarithmic Form	x^pi=e	$x^{π} = e$
222233	Simplify	(2+x square root of 5)^2	${(2 + x \sqrt{5})}^{2}$
222234	Graph	y=-3/5x+5 y=2	$y = - \frac{3}{5} x + 5$ $y = 2$
222235	Graph	x+y>=4 2x-y>2	$x + y \geq 4$ $2 x - y > 2$
222236	Identify the Conic	r=5/(1+sin(theta))	$r = \frac{5}{1 + \sin (θ)}$
222237	Simplify	7x^2y^2+12xy^2-3x^2y+11+-12xy^2+20x^2y+11xy-5	$7 x^{2} y^{2} + 12 x y^{2} - 3 x^{2} y + 11 + - 12 x y^{2} + 20 x^{2} y + 11 x y - 5$
222238	Find the Exact Value	( square root of 2)/2*( square root of 3)/2	$\frac{\sqrt{2}}{2} \cdot \frac{\sqrt{3}}{2}$
222239	Factor	m^3-m^2n+m-n	$m^{3} - m^{2} n + m - n$
222240	Simplify	1/(-3^-3)	$\frac{1}{- 3^{- 3}}$
222241	Simplify	( fourth root of 16)^-7	${(\sqrt[4]{16})}^{- 7}$
222242	Write in Standard Form	-5x^2+22x=3x+13-7x^2	$- 5 x^{2} + 22 x = 3 x + 13 - 7 x^{2}$
222243	Solve for x	2.1 = natural log of 6x	$2.1 = \ln (6 x)$
222244	Factor	3p^1+11p-4	$3 p^{1} + 11 p - 4$
222245	Multiply	(2x+y)(2x+y)	$(2 x + y) (2 x + y)$
222246	Solve for x	8x=x^2+12	$8 x = x^{2} + 12$
222247	Solve for b	b=( cube root of -21)^3	$b = {(\sqrt[3]{- 21})}^{3}$
222248	Graph	x+2y=2 y=-x+4	$x + 2 y = 2$ $y = - x + 4$
222249	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-1,-1) and has a slope of -6 ?	What is the equation of the line that passes through the point $(- 1, - 1)$ and has a slope of $- 6$ ?
222250	Graph	y>=4 square root of x-2-12	$y \geq 4 \sqrt{x - 2} - 12$
222251	Solve for a	(15-4i)(6-3i)=a+bi	$(15 - 4 i) (6 - 3 i) = a + b i$
222252	Solve for x	square root of 3x-5=2- square root of x-1	$\sqrt{3 x - 5} = 2 - \sqrt{x - 1}$
222253	Simplify	11k+2j+5h-10k-j	$11 k + 2 j + 5 h - 10 k - j$
222254	Simplify	cube root of w* square root of w^5	$\sqrt[3]{w} \cdot \sqrt{w^{5}}$
222255	Solve Using the Quadratic Formula	x-x^2=1-6x^2	$x - x^{2} = 1 - 6 x^{2}$
222256	Simplify	(1-sec(theta)^2)/(sec(theta)^2)	$\frac{1 - \sec^{2} (θ)}{\sec^{2} (θ)}$
222257	Solve for S	B=F/(S-V)	$B = \frac{F}{S - V}$
222258	Solve for x	3x-17+x+40+2x-5=180	$3 x - 17 + x + 40 + 2 x - 5 = 180$
222259	Solve for x	-3/x=-6	$- \frac{3}{x} = - 6$
222260	Evaluate	17\|-4\|+6\|-3\|	$17 \| - 4 \| + 6 \| - 3 \|$
222261	Evaluate	-1 1/5+(-3/5)	$- 1 \frac{1}{5} + (- \frac{3}{5})$
222262	Solve for x	5x-4=1/5(5+20x)	$5 x - 4 = \frac{1}{5} (5 + 20 x)$
222263	Simplify	3x^3 square root of x^8y+x^2 cube root of x^5y	$3 x^{3} \sqrt{x^{8} y} + x^{2} \sqrt[3]{x^{5} y}$
222264	Subtract	(3x^3-4x^2)-(-7x^2-6)	$(3 x^{3} - 4 x^{2}) - (- 7 x^{2} - 6)$
222265	Graph	y<=1/7x-6 y<=9/7x+2	$y \leq \frac{1}{7} x - 6$ $y \leq \frac{9}{7} x + 2$
222266	Simplify	(1/(9x^2))÷(3/(2x))	$\frac{1}{9 x^{2}} \div \frac{3}{2 x}$
222267	Simplify	y^4z^32y^3z^23x^2y^-4z^-3	$y^{4} z^{3} \cdot 2 y^{3} z^{2} \cdot 3 x^{2} y^{- 4} z^{- 3}$
222268	Simplify	2/( square root of 9x^2)	$\frac{2}{\sqrt{9 x^{2}}}$
222269	Simplify	((y^4)/y)^-2	${(\frac{y^{4}}{y})}^{- 2}$
222270	Factor	(x^2+4x+4)-196y^2	$(x^{2} + 4 x + 4) - 196 y^{2}$
222271	Solve for n	2/5(8n-5)=-9/5n	$\frac{2}{5} (8 n - 5) = - \frac{9}{5} n$
222272	Factor	factor x^2-25	factor $x^{2} - 25$
222273	Find the Degree, Leading Term, and Leading Coefficient	4b^5+b^6-b^2-12	$4 b^{5} + b^{6} - b^{2} - 12$
222274	Graph	y-2x<=-3 y-4<=-2x y>-1/4x	$y - 2 x \leq - 3$ $y - 4 \leq - 2 x$ $y > - \frac{1}{4} x$
222275	Convert to a Decimal	690deg	$690$ degrees
222276	Find the Domain and Range	y=1/2sin(2x)	$y = \frac{1}{2} \sin (2 x)$
222277	Solve the Inequality for c	c+6<-20	$c + 6 < - 20$
222278	Find the Degree	5t-u^2	$5 t - u^{2}$
222279	Solve for z	2z^2+z-7=0	$2 z^{2} + z - 7 = 0$
222280	Simplify	((a^2+b)^(3/2))/(a^2+b)	$\frac{{(a^{2} + b)}^{\frac{3}{2}}}{a^{2} + b}$
222281	Factor	2cos(x)^2+cos(x)-1=0	$2 \cos^{2} (x) + \cos (x) - 1 = 0$
222282	Solve for x	(4x)/(5x)=(4x+8)/(6x-20)	$\frac{4 x}{5 x} = \frac{4 x + 8}{6 x - 20}$
222283	Evaluate	-4-2 1/2	$- 4 - 2 \frac{1}{2}$
222284	Solve the Inequality for x	-2x^2-8x+7<=-3x+4	$- 2 x^{2} - 8 x + 7 \leq - 3 x + 4$
222285	Simplify	(4^(1/4))^2	${(4^{\frac{1}{4}})}^{2}$
222286	Simplify	e^(- natural log of cos(x))	$e^{- \ln (\cos (x))}$
222287	Find the Domain and Range	1/5 square root of x-3	$\frac{1}{5} \sqrt{x - 3}$
222288	Solve Using the Quadratic Formula	18=-2(x-1)^2	$18 = - 2 {(x - 1)}^{2}$
222289	Find the Roots (Zeros)	x^2=9x-14	$x^{2} = 9 x - 14$
222290	Divide	(3 cube root of 2)/( cube root of 3)	$\frac{3 \sqrt[3]{2}}{\sqrt[3]{3}}$
222291	Solve by Addition/Elimination	x+2y=4 -x-y=2	$x + 2 y = 4$ $- x - y = 2$
222292	Find the x and y Intercepts	f(x)=- square root of x+1+4	$f (x) = - \sqrt{x + 1} + 4$
222293	Solve for x	(2x-6)^(2/3)=x^(1/3)	${(2 x - 6)}^{\frac{2}{3}} = x^{\frac{1}{3}}$
222294	Solve for b	37=7+6b^3	$37 = 7 + 6 b^{3}$
222295	Solve the System of Equations	-2x-y=-5 and 5x+6y=-19	$- 2 x - y = - 5$ and $5 x + 6 y = - 19$
222296	Simplify	5v eighth root of 225v^2	$5 v \sqrt[8]{225 v^{2}}$
222297	Evaluate	(b^2)=b^8	$(b^{2}) = b^{8}$
222298	Solve the Inequality for x	2x^2-28x+89>-7	$2 x^{2} - 28 x + 89 > - 7$
222299	Expand Using the Binomial Theorem	(x-2/(x^2))^9	${(x - \frac{2}{x^{2}})}^{9}$
222300	Write in Slope-Intercept Form	(0,1) and (5,3)	$(0, 1)$ and $(5, 3)$