Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
168201	Factor	21x^2y^4z^3-35x^6yz	$21 x^{2} y^{4} z^{3} - 35 x^{6} y z$
168202	Graph	y<3x y<5	$y < 3 x$ $y < 5$
168203	Find the x and y Intercepts	f(x)=(x^2+7x+10)/(2x^2-x-10)	$f (x) = \frac{x^{2} + 7 x + 10}{2 x^{2} - x - 10}$
168204	Solve for b	-3.93=-3.7-2.3b	$- 3.93 = - 3.7 - 2.3 b$
168205	Write in Standard Form	5x-17=-2x^2	$5 x - 17 = - 2 x^{2}$
168206	Simplify	2s+10-7s-8+3s-7	$2 s + 10 - 7 s - 8 + 3 s - 7$
168207	Write in Standard Form	y=-(3x)/5+4	$y = - \frac{3 x}{5} + 4$
168208	Solve for x	1/2x+3x=14	$\frac{1}{2} x + 3 x = 14$
168209	Solve the System of Equations	x-3y=4 , x+2y=1	$x - 3 y = 4$ , $x + 2 y = 1$
168210	Find the Domain and Range	f(x)=(x+2)+4	$f (x) = (x + 2) + 4$
168211	Solve for x	x/(x-9)-3=-5/(x-9)	$\frac{x}{x - 9} - 3 = - \frac{5}{x - 9}$
168212	Simplify	2 square root of 4*3 square root of 30	$2 \sqrt{4} \cdot 3 \sqrt{30}$
168213	Graph	5>=x	$5 \geq x$
168214	Find the x and y Intercepts	f(x)=(5x-10)/(2x^2+3x-14)	$f (x) = \frac{5 x - 10}{2 x^{2} + 3 x - 14}$
168215	Graph Using a Table of Values	y=x^2-7	$y = x^{2} - 7$
168216	Solve for θ	2sin(theta)^2-sin(theta)=0	$2 \sin^{2} (θ) - \sin (θ) = 0$
168217	Solve the Inequality for x	(x+5)(x+3)(x-7)<0	$(x + 5) (x + 3) (x - 7) < 0$
168218	Multiply	(-2x-9y^2)(-4x-3)	$(- 2 x - 9 y^{2}) (- 4 x - 3)$
168219	Find the Domain and Range	g(x)=-1/4(x-17)^2+61	$g (x) = - \frac{1}{4} {(x - 17)}^{2} + 61$
168220	Find the Product	3(x^2+7)	$3 (x^{2} + 7)$
168221	Combine Like Terms	-7y^2-2y^2+y^3-3y-2y+5y^3-2y	$- 7 y^{2} - 2 y^{2} + y^{3} - 3 y - 2 y + 5 y^{3} - 2 y$
168222	Solve for c	\|c-2\|=39	$\| c - 2 \| = 39$
168223	Solve for c	1/2c=-3-3/2c-5/2c+1	$\frac{1}{2} c = - 3 - \frac{3}{2} c - \frac{5}{2} c + 1$
168224	Simplify	(f(3+h)-f(3))/h	$\frac{f (3 + h) - f (3)}{h}$
168225	Solve for x	x/r-s=t	$\frac{x}{r} - s = t$
168226	Find the Domain and Range	f(x) = square root of (x+3)^2	$f (x) = \sqrt{{(x + 3)}^{2}}$
168227	Write in Standard Form	-x^2+x-8=2x	$- x^{2} + x - 8 = 2 x$
168228	Combine Like Terms	3-2y-1+5x^2-7y+7+4x^2	$3 - 2 y - 1 + 5 x^{2} - 7 y + 7 + 4 x^{2}$
168229	Simplify	(x^2y^-7)/(x^8y^-5)	$\frac{x^{2} y^{- 7}}{x^{8} y^{- 5}}$
168230	Solve the System of Inequalities	x+1/2<=-3 or x-3>-2	$x + \frac{1}{2} \leq - 3$ or $x - 3 > - 2$
168231	Graph	6x+7y=4x+4y	$6 x + 7 y = 4 x + 4 y$
168232	Find the Holes in the Graph	f(x)=(x^2)/(x^2-4)	$f (x) = \frac{x^{2}}{x^{2} - 4}$
168233	Solve the Absolute Value Inequality for x	\|x\|<8	$\| x \| < 8$
168234	Solve for y	11=\|y/10\|	$11 = \| \frac{y}{10} \|$
168235	Evaluate	13-0.7512+81/2	$13 - 0.75 \cdot 12 + 8 \cdot \frac{1}{2}$
168236	Factor	x^4+x^3-x^2+x	$x^{4} + x^{3} - x^{2} + x$
168237	Solve the Inequality for x	-2x<10	$- 2 x < 10$
168238	Evaluate	(610^8)÷(1.510^-4)	$(6 \times 10^{8}) \div (1.5 \times 10^{- 4})$
168239	Solve for x	x^3+3x^2-x=\|x-1\|	$x^{3} + 3 x^{2} - x = \| x - 1 \|$
168240	Solve for n	2/5n+3-7/10n=3/5-3n	$\frac{2}{5} n + 3 - \frac{7}{10} n = \frac{3}{5} - 3 n$
168241	Graph	f(x)=-1/2(x+2)^2(x+1)(x-1)^2	$f (x) = - \frac{1}{2} {(x + 2)}^{2} (x + 1) {(x - 1)}^{2}$
168242	Evaluate	(-( square root of 2)/2)/(-( square root of 2)/2)	$\frac{- \frac{\sqrt{2}}{2}}{- \frac{\sqrt{2}}{2}}$
168243	Write in Standard Form	y=(2x+3)^2	$y = {(2 x + 3)}^{2}$
168244	Solve for x	(2x)/(x+4)+1=-2/(x+4)	$\frac{2 x}{x + 4} + 1 = - \frac{2}{x + 4}$
168245	Solve for x	square root of 11-2x = square root of x-1	$\sqrt{11 - 2 x} = \sqrt{x - 1}$
168246	Solve for x	2x+1=(x+13)/3	$2 x + 1 = \frac{x + 13}{3}$
168247	Simplify	(n^2-10n+24)/(n^2-13n+42)-9/(n-7)	$\frac{n^{2} - 10 n + 24}{n^{2} - 13 n + 42} - \frac{9}{n - 7}$
168248	Find the Exact Value	log base 3 of 1/27	$\log_{3} (\frac{1}{27})$
168249	Evaluate	(2x+y)^2	${(2 x + y)}^{2}$
168250	Evaluate	x+x+x+2	$x + x + x + 2$
168251	Convert to Meters	12cm	$12 cm$
168252	Evaluate	3^x=7	$3^{x} = 7$
168253	Simplify	6i*-4i+8	$6 i \cdot - 4 i + 8$
168254	Solve for k	1/4k-3+5/4k-1=3/8k+2	$\frac{1}{4} k - 3 + \frac{5}{4} k - 1 = \frac{3}{8} k + 2$
168255	Solve the Inequality for y	y-5(y+1)>=2y-5	$y - 5 (y + 1) \geq 2 y - 5$
168256	Factor	x^15-x^12+2x^9-3x^6	$x^{15} - x^{12} + 2 x^{9} - 3 x^{6}$
168257	Find the Inverse	f^-1(x)=1/(x-2)	$f^{- 1} (x) = \frac{1}{x - 2}$
168258	Simplify	(x^(-10/3))/(x^3)	$\frac{x^{- \frac{10}{3}}}{x^{3}}$
168259	Solve the System of Inequalities	-8<2(x+4) or -3x+4>x-4	$- 8 < 2 (x + 4)$ or $- 3 x + 4 > x - 4$
168260	Solve for x	4(2-x)+1=2x+2-5(1-4x)	$4 (2 - x) + 1 = 2 x + 2 - 5 (1 - 4 x)$
168261	Solve for x	square root of x^2-3x-6=x-1	$\sqrt{x^{2} - 3 x - 6} = x - 1$
168262	Graph	y>2x y>7	$y > 2 x$ $y > 7$
168263	Solve for x	(x+4)/(x+1)+x/5=(2x+5)/(x+1)	$\frac{x + 4}{x + 1} + \frac{x}{5} = \frac{2 x + 5}{x + 1}$
168264	Graph Using a Table of Values	g(x)=3^(x+3)	$g (x) = 3^{x + 3}$
168265	Solve for g	2/(g+6)=4/(5g+10)	$\frac{2}{g + 6} = \frac{4}{5 g + 10}$
168266	Find the Product	(2x-y)^3	${(2 x - y)}^{3}$
168267	Simplify	(4^3)/(4^2)	$\frac{4^{3}}{4^{2}}$
168268	Solve the Inequality for x	(x-2)/(x+1)<0	$\frac{x - 2}{x + 1} < 0$
168269	Solve for y	-7/8=1/5y-3/8	$- \frac{7}{8} = \frac{1}{5} y - \frac{3}{8}$
168270	Factor	18xy^3z^2-21x^2z^3	$18 x y^{3} z^{2} - 21 x^{2} z^{3}$
168271	Simplify	((3s^-3)^5)/(3s^-2)	$\frac{{(3 s^{- 3})}^{5}}{3 s^{- 2}}$
168272	Graph	4x-3y<9 x+3y>6	$4 x - 3 y < 9$ $x + 3 y > 6$
168273	Solve for x	1/2+4/5x=-5/6	$\frac{1}{2} + \frac{4}{5} x = - \frac{5}{6}$
168274	Simplify	(x+1)/(x(x-7))-5x/((x-7)(x+1))	$\frac{x + 1}{x (x - 7)} - 5 \frac{x}{(x - 7) (x + 1)}$
168275	Combine Like Terms	-y^2+x^3-4x^3-6y^2+5-2-x^3	$- y^{2} + x^{3} - 4 x^{3} - 6 y^{2} + 5 - 2 - x^{3}$
168276	Write in Standard Form	f(x)=x^2-2x+3	$f (x) = x^{2} - 2 x + 3$
168277	Solve for x	fourth root of x-4+7=5	$\sqrt[4]{x - 4} + 7 = 5$
168278	Solve for θ	sec(theta) = square root of 2	$\sec (θ) = \sqrt{2}$
168279	Simplify	(y^3)/(x^-1x^8y^3)	$\frac{y^{3}}{x^{- 1} x^{8} y^{3}}$
168280	Solve the Inequality for x	y<2x^2+3x-5	$y < 2 x^{2} + 3 x - 5$
168281	Solve for k	2-k-2/5=3+3/2k-1/2k	$2 - k - \frac{2}{5} = 3 + \frac{3}{2} k - \frac{1}{2} k$
168282	Simplify	( square root of 72)/( square root of -18)	$\frac{\sqrt{72}}{\sqrt{- 18}}$
168283	Evaluate	4/3pi4^3	$\frac{4}{3} \cdot π \cdot 4^{3}$
168284	Combine Like Terms	2x^2+7+6x-1-7x-6x^2+1	$2 x^{2} + 7 + 6 x - 1 - 7 x - 6 x^{2} + 1$
168285	Evaluate	f(-3/2)	$f (- \frac{3}{2})$
168286	Solve for x	(2x-3)/(x-3)=(x-2)/(x-1)	$\frac{2 x - 3}{x - 3} = \frac{x - 2}{x - 1}$
168287	Factor	5x^2+10x=0	$5 x^{2} + 10 x = 0$
168288	Simplify	((x^2-2x)/(x^2+3x-10))÷((x-5)/(x+5))	$\frac{x^{2} - 2 x}{x^{2} + 3 x - 10} \div \frac{x - 5}{x + 5}$
168289	Find the LCD	6/(x^2-3x-10) and -1/(x^2-36)	$\frac{6}{x^{2} - 3 x - 10}$ and $\frac{- 1}{x^{2} - 36}$
168290	Solve for x	3/x+3/(x-4)=(3x-9)/(x-4)	$\frac{3}{x} + \frac{3}{x - 4} = \frac{3 x - 9}{x - 4}$
168291	Simplify	(2+7i)/(3-3i)	$\frac{2 + 7 i}{3 - 3 i}$
168292	Simplify	7-(3+4i)+6i	$7 - (3 + 4 i) + 6 i$
168293	Solve for x	\|6x+72\|=12x	$\| 6 x + 72 \| = 12 x$
168294	Graph	y<=x^2+4x+3	$y \leq x^{2} + 4 x + 3$
168295	Find All Complex Solutions	sin(x)^2=2-2cos(x)	$\sin^{2} (x) = 2 - 2 \cos (x)$
168296	Find the Exact Value	square root of 12	$\sqrt{12}$
168297	Solve for v	2(v+2)+v=3(v-1)+6	$2 (v + 2) + v = 3 (v - 1) + 6$
168298	Find All Complex Solutions	x^2=12	$x^{2} = 12$
168299	Simplify	cube root of 6(5+ cube root of 12)	$\sqrt[3]{6} (5 + \sqrt[3]{12})$
168300	Graph	f(x)=-3-x if x<=2; -6+2x if x>2	$f (x) = {\begin{cases} - 3 - x & x \leq 2 \\ - 6 + 2 x & x > 2 \end{cases}$