Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
197101	Write in Standard Form	square root of -1	$\sqrt{- 1}$
197102	Solve for T	I=PRT	$I = P R T$
197103	Simplify	(x^3y^2)(xy^4)	$(x^{3} y^{2}) (x y^{4})$
197104	Evaluate	(3÷(2*1))2/3	$(3 \div (2 \cdot 1)) \frac{2}{3}$
197105	Solve for x	4x-3-7(x+1)=-6x+5	$4 x - 3 - 7 (x + 1) = - 6 x + 5$
197106	Find the Parabola with Focus (2,-1) and Directrix y=-1/2	(2,-1) y=-1/2	$(2, - 1)$ $y = - \frac{1}{2}$
197107	Solve the Inequality for f	6\|-f+3\|+7>7	$6 \| - f + 3 \| + 7 > 7$
197108	Multiply	-9ab^3(a^4b^2-5a^5b+7ab+4)	$- 9 a b^{3} (a^{4} b^{2} - 5 a^{5} b + 7 a b + 4)$
197109	Graph	6x-5<=11x+y	$6 x - 5 \leq 11 x + y$
197110	Evaluate	3(7/5x+4)-2(3/2-5/4x)	$3 (\frac{7}{5} x + 4) - 2 (\frac{3}{2} - \frac{5}{4} x)$
197111	Solve the Inequality for x	7-1/8(6x-4)<8	$7 - \frac{1}{8} (6 x - 4) < 8$
197112	Graph	f(x)=1 if -1<x<=0; 2 if 0<x<=1; 3 if 1<x<=2	$f (x) = {\begin{cases} 1 & - 1 < x \leq 0 \\ 2 & 0 < x \leq 1 \\ 3 & 1 < x \leq 2 \end{cases}$
197113	Solve the Rational Equation for x	(x^2+x-2)/(x-3)=-3	$\frac{x^{2} + x - 2}{x - 3} = - 3$
197114	Solve for R	P=R+C	$P = R + C$
197115	Solve the Inequality for x	(3x)/2-6<9	$\frac{3 x}{2} - 6 < 9$
197116	Find the Exact Value	sin(30)cos(60)+sin(60)cos(30)	$\sin (30) \cos (60) + \sin (60) \cos (30)$
197117	Find the Holes in the Graph	(4x^2-16)/(-3x^2+6x)	$\frac{4 x^{2} - 16}{- 3 x^{2} + 6 x}$
197118	Simplify	-7^2+2(2-6)-17	$- 7^{2} + 2 (2 - 6) - 17$
197119	Evaluate	5x+12=5x-7	$5 x + 12 = 5 x - 7$
197120	Find the x and y Intercepts	f(x)=-(3x^2+1)^3	$f (x) = - {(3 x^{2} + 1)}^{3}$
197121	Solve the System of Equations	x^2-9=y y-x=3	$x^{2} - 9 = y$ $y - x = 3$
197122	Solve the Inequality for x	3^(2x)>=6^(x+1)	$3^{2 x} \geq 6^{x + 1}$
197123	Find the Equation Using Point-Slope Formula	(1,-1) and (5,2)	$(1, - 1)$ and $(5, 2)$
197124	Solve the System of Equations	y=x-5 -x-3y=7	$y = x - 5$ $- x - 3 y = 7$
197125	Graph	f(x)=x^2-2x+3 , f(x)=-2x+19	$f (x) = x^{2} - 2 x + 3$ , $f (x) = - 2 x + 19$
197126	Multiply	(y^2-2y-15)/4*8/(y+3)	$\frac{y^{2} - 2 y - 15}{4} \cdot \frac{8}{y + 3}$
197127	Factor	1-cos(theta)^2	$1 - \cos^{2} (θ)$
197128	Solve the System of Equations	x+2y=1 -3x+y=-10	$x + 2 y = 1$ $- 3 x + y = - 10$
197129	Solve for n	-5\|6n+15\|+2=-43	$- 5 \| 6 n + 15 \| + 2 = - 43$
197130	Graph	g(x)=-5/2\|x\|	$g (x) = - \frac{5}{2} \| x \|$
197131	Find the y-intercept	y=2^x	$y = 2^{x}$
197132	Solve the System of Inequalities	3>=2x or x-4>2	$3 \geq 2 x$ or $x - 4 > 2$
197133	Simplify	(x^-2)/((x^2)^-4)	$\frac{x^{- 2}}{{(x^{2})}^{- 4}}$
197134	Find the Function	f(x)=2(3)^x	$f (x) = 2 {(3)}^{x}$
197135	Graph	y>=2x+3 y<=-2x-4	$y \geq 2 x + 3$ $y \leq - 2 x - 4$
197136	Simplify	(45y)/(y^2-4)*(y^2+2y)/(18y^2)	$\frac{45 y}{y^{2} - 4} \cdot \frac{y^{2} + 2 y}{18 y^{2}}$
197137	Solve for z	A=x+7+z	$A = x + 7 + z$
197138	Solve the Inequality for x	3x<9x+4	$3 x < 9 x + 4$
197139	Write as a Single Logarithm	5 log of x+2 log of y- log of z	$5 \log (x) + 2 \log (y) - \log (z)$
197140	Find All Complex Solutions	\|3x-2\|=7	$\| 3 x - 2 \| = 7$
197141	Solve for x	(x+5)^2+(x-2)^2=37	${(x + 5)}^{2} + {(x - 2)}^{2} = 37$
197142	Evaluate	(3+-1)/2	$\frac{3 + - 1}{2}$
197143	Simplify	t+(t^2)/2+t^2+t	$t + \frac{t^{2}}{2} + t^{2} + t$
197144	Evaluate Using the Given Value	Evaluate e/4+2f-3 when e=12 and f=1/2	Evaluate $\frac{e}{4} + 2 f - 3$ when $e = 12$ and $f = \frac{1}{2}$
197145	Simplify	(5x)/(2x)	$\frac{5 x}{2 x}$
197146	Rationalize the Denominator	3/( cube root of 6)	$\frac{3}{\sqrt[3]{6}}$
197147	Solve for x	3-x=3/4+3/2x	$3 - x = \frac{3}{4} + \frac{3}{2} x$
197148	Factor	m^(4a+8)-25	$m^{4 a + 8} - 25$
197149	Solve the System of Equations	y=2x+4 y=2x^2	$y = 2 x + 4$ $y = 2 x^{2}$
197150	Evaluate	4+36÷((10-8)^2)*3+7	$4 + 36 \div {(10 - 8)}^{2} \cdot 3 + 7$
197151	Find the Domain and Range	f(x) = square root of \|x\|	$f (x) = \sqrt{\| x \|}$
197152	Graph	f(x)=-3 log base 4 of -x+3-4	$f (x) = - 3 \log_{4} (- x + 3) - 4$
197153	Find the Domain and Range	f(x)=(4x)/(x^3+2x^2-3x)	$f (x) = \frac{4 x}{x^{3} + 2 x^{2} - 3 x}$
197154	Solve for v	1/(v-5)+2/(v+4)=3/(v^2-v-20)	$\frac{1}{v - 5} + \frac{2}{v + 4} = \frac{3}{v^{2} - v - 20}$
197155	Solve for x	5/(x^2-1)=1/(x-1)	$\frac{5}{x^{2} - 1} = \frac{1}{x - 1}$
197156	Solve the Inequality for x	7(6x-4)>=6x-28	$7 (6 x - 4) \geq 6 x - 28$
197157	Find the Exact Value	square root of -936+ square root of -2,600	$\sqrt{- 936} + \sqrt{- 2, 600}$
197158	Solve for c	5/7c=13/14	$\frac{5}{7} c = \frac{13}{14}$
197159	Simplify	square root of 12* square root of -3	$\sqrt{12} \cdot \sqrt{- 3}$
197160	Solve the Inequality for v	3(v-4)>=5v-24	$3 (v - 4) \geq 5 v - 24$
197161	Simplify	(5x-12x^2+9x^3)-(5x^3+6x-3)	$(5 x - 12 x^{2} + 9 x^{3}) - (5 x^{3} + 6 x - 3)$
197162	Solve for k	\|5k+4\|>=36	$\| 5 k + 4 \| \geq 36$
197163	Solve for x	-(-5/2x-5/2)+1=2	$- (- \frac{5}{2} x - \frac{5}{2}) + 1 = 2$
197164	Solve the Rational Equation for x	(x-5)/(x^2)+1/x=6/x	$\frac{x - 5}{x^{2}} + \frac{1}{x} = \frac{6}{x}$
197165	Simplify	-81^(-3/4)	$- 81^{\frac{- 3}{4}}$
197166	Find g(f(x))	f(x)=x^2-5x-9 g(x)=x-14	$f (x) = x^{2} - 5 x - 9$ $g (x) = x - 14$
197167	Solve for x	\|(2-(1-x))/2\|=-2(3+x)	$\| \frac{2 - (1 - x)}{2} \| = - 2 (3 + x)$
197168	Find the Exact Value	(x^2)^3	${(x^{2})}^{3}$
197169	Find the Exact Value	cot(-315)	$\cot (- 315)$
197170	Find the Holes in the Graph	(5x^2+20x)/(3x+12)	$\frac{5 x^{2} + 20 x}{3 x + 12}$
197171	Simplify	3xy^2(2x+y-1)	$3 x y^{2} (2 x + y - 1)$
197172	Evaluate	(3(-1/2)^2)/((-1/2)^2-4)	$\frac{3 {(- \frac{1}{2})}^{2}}{{(- \frac{1}{2})}^{2} - 4}$
197173	Solve for x	7x-2(x-1)=1-9/10(-5x+5/3)	$7 x - 2 (x - 1) = 1 - \frac{9}{10} (- 5 x + \frac{5}{3})$
197174	Solve for y	y^4+y^2-20=0	$y^{4} + y^{2} - 20 = 0$
197175	Solve for x	3(1+3x)=12x	$3 (1 + 3 x) = 12 x$
197176	Solve for x	(2x+1)/6+(x+2)/9=7/18	$\frac{2 x + 1}{6} + \frac{x + 2}{9} = \frac{7}{18}$
197177	Simplify the Radical Expression	square root of (416u^11)/(484v^6)	$\sqrt{\frac{416 u^{11}}{484 v^{6}}}$
197178	Simplify	-81m^2-17mn+15n^2+20m^2+3mn-17n^2+53m^2+18mn+7n^2	$- 81 m^{2} - 17 m n + 15 n^{2} + 20 m^{2} + 3 m n - 17 n^{2} + 53 m^{2} + 18 m n + 7 n^{2}$
197179	Simplify	(-1/4y^(2n)z^(5n)-7/8y^(4n)z^(2n)-7/4y^(4n))÷(-3/8y^(4n)z^n)	$(- \frac{1}{4} y^{2 n} z^{5 n} - \frac{7}{8} y^{4 n} z^{2 n} - \frac{7}{4} y^{4 n}) \div (- \frac{3}{8} y^{4 n} z^{n})$
197180	Simplify	x(1-x)	$x (1 - x)$
197181	Simplify	(x/(x-1))÷(1/(x+1))	$\frac{x}{x - 1} \div \frac{1}{x + 1}$
197182	Evaluate	4/3(3)^-2	$\frac{4}{3} {(3)}^{- 2}$
197183	Solve the Inequality for x	-9x-2<-1+4(6x-1/2)	$- 9 x - 2 < - 1 + 4 (6 x - \frac{1}{2})$
197184	Factor	xy(x-2y)+3y(2y-x)^2	$x y (x - 2 y) + 3 y {(2 y - x)}^{2}$
197185	Factor	3x^2+4x+x	$3 x^{2} + 4 x + x$
197186	Graph	2x-2/5y<=2	$2 x - \frac{2}{5} y \leq 2$
197187	Find the Parabola with Focus (2,0) and Directrix x=-2	(2,0) x=-2	$(2, 0)$ $x = - 2$
197188	Factor	x^(2a-4)-y^(6b)	$x^{2 a - 4} - y^{6 b}$
197189	Convert to Radical Form	(x+1)^(1/2)	${(x + 1)}^{\frac{1}{2}}$
197190	Solve for x	4 square root of x = square root of 9x+9	$4 \sqrt{x} = \sqrt{9 x + 9}$
197191	Solve the Inequality for x	-x-5>1-(-4x-5/2)	$- x - 5 > 1 - (- 4 x - \frac{5}{2})$
197192	Solve for p	(3p)/(p-5)-2/(p+3)=p/(p+3)	$\frac{3 p}{p - 5} - \frac{2}{p + 3} = \frac{p}{p + 3}$
197193	Graph	r>0 , -2pi<=theta<0	$r > 0$ , $- 2 π \leq θ < 0$
197194	Find the End Behavior	f(x)=-648+6x^3-90x^2+432x	$f (x) = - 648 + 6 x^{3} - 90 x^{2} + 432 x$
197195	Evaluate	(1/3)^(-0)	${(\frac{1}{3})}^{- 0}$
197196	Solve for x	\|2x\|>=6	$\| 2 x \| \geq 6$
197197	Find All Complex Solutions	\|x-1\|+5=2	$\| x - 1 \| + 5 = 2$
197198	Evaluate	(1+x^2)^2	${(1 + x^{2})}^{2}$
197199	Solve for y	4-2y-y=12	$4 - 2 y - y = 12$
197200	Find the Domain and Range	f(x)=x^(1/4)	$f (x) = x^{\frac{1}{4}}$