Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
194701	Simplify	((5x)/(2x+3))÷((x+1)/(3x))	$\frac{5 x}{2 x + 3} \div \frac{x + 1}{3 x}$
194702	Solve the Inequality for x	2x^2+8x<x+4	$2 x^{2} + 8 x < x + 4$
194703	Solve for n	4-7n=-(8n+4)+2	$4 - 7 n = - (8 n + 4) + 2$
194704	Solve for m	-4(3m-10)-6(-7m-6)=-74	$- 4 (3 m - 10) - 6 (- 7 m - 6) = - 74$
194705	Solve for x	2(3)-2(4x)+7=0	$2 (3) - 2 (4 x) + 7 = 0$
194706	Find the Domain and Range	y=1/( square root of 9-x^2)	$y = \frac{1}{\sqrt{9 - x^{2}}}$
194707	Simplify	(-4/3)^3	${(- \frac{4}{3})}^{3}$
194708	Solve for x	5(x-1)-6x=-11x	$5 (x - 1) - 6 x = - 11 x$
194709	Write in Standard Form	4i^2-2i^3	$4 i^{2} - 2 i^{3}$
194710	Multiply	(5x)/(y^2)*(4y^2)/(5x^2)	$\frac{5 x}{y^{2}} \cdot \frac{4 y^{2}}{5 x^{2}}$
194711	Solve the Inequality for x	x^2+x-20>=0	$x^{2} + x - 20 \geq 0$
194712	Simplify	(((ab^2c)^-3)/(b^-3))^4	${(\frac{{(a b^{2} c)}^{- 3}}{b^{- 3}})}^{4}$
194713	Solve for x	7.9x-(5.9x-2.4)=-4(-x-2)	$7.9 x - (5.9 x - 2.4) = - 4 (- x - 2)$
194714	Simplify	((3x^2y^3)^2)^3	${({(3 x^{2} y^{3})}^{2})}^{3}$
194715	Solve for r	-24=3(1+r)	$- 24 = 3 (1 + r)$
194716	Solve for x	40=x+6-28	$40 = x + 6 - 28$
194717	Find the x and y Intercepts	y=3- square root of x	$y = 3 - \sqrt{x}$
194718	Graph	3x-y<=12 2x+y<=10 x>=0 y>=0	$3 x - y \leq 12$ $2 x + y \leq 10$ $x \geq 0$ $y \geq 0$
194719	Find the Domain and Range	g(x)=2(x-1)*2-3	$g (x) = 2 (x - 1) \cdot 2 - 3$
194720	Simplify	(-3x^2-x-10)+(10x^2+x-10)	$(- 3 x^{2} - x - 10) + (10 x^{2} + x - 10)$
194721	Write in Standard Form	f(x)=(x+3)^2	$f (x) = {(x + 3)}^{2}$
194722	Solve for x	x-3/4=1/5	$x - \frac{3}{4} = \frac{1}{5}$
194723	Solve for m	4(2m-1)=16	$4 (2 m - 1) = 16$
194724	Write in Standard Form	x-x^2	$x - x^{2}$
194725	Factor	28x^6y^2+12xy^5-4xy^2-8xy^4	$28 x^{6} y^{2} + 12 x y^{5} - 4 x y^{2} - 8 x y^{4}$
194726	Find the x and y Intercepts	r(x)=(x^3-2x^2-3x)/(x-3)	$r (x) = \frac{x^{3} - 2 x^{2} - 3 x}{x - 3}$
194727	Solve the System of Inequalities	4v+9<=5 or -3v>=-6	$4 v + 9 \leq 5$ or $- 3 v \geq - 6$
194728	Write in Standard Form	(y+5)^2=-1/3(x-3)	${(y + 5)}^{2} = - \frac{1}{3} (x - 3)$
194729	Expand the Logarithmic Expression	log base 3 of fourth root of x/3	$\log_{3} (\sqrt[4]{\frac{x}{3}})$
194730	Solve the System of Equations	4x+2y=1 5x=y-18	$4 x + 2 y = 1$ $5 x = y - 18$
194731	Find the Exact Value	square root of -121	$\sqrt{- 121}$
194732	Find the Function	f(x)=x^2+x-2	$f (x) = x^{2} + x - 2$
194733	Solve the Inequality for y	y-13<=-15	$y - 13 \leq - 15$
194734	Solve for b	-\|4-8b\|=12	$- \| 4 - 8 b \| = 12$
194735	Evaluate	(-x^2-1)-(-2x^2-4)	$(- x^{2} - 1) - (- 2 x^{2} - 4)$
194736	Find the y-intercept	f(x)=3^x	$f (x) = 3^{x}$
194737	Find the End Behavior	f(x)=480+4x+4x^3-40x^2	$f (x) = 480 + 4 x + 4 x^{3} - 40 x^{2}$
194738	Write in Standard Form	f(x)=3\|x\|	$f (x) = 3 \| x \|$
194739	Simplify/Condense	cos(-x)+tan(-x)sin(-x)	$\cos (- x) + \tan (- x) \sin (- x)$
194740	Solve for x	-3x(x^2-14)(x^2+16)=0	$- 3 x (x^{2} - 14) (x^{2} + 16) = 0$
194741	Find the Exact Value	3.5((3pi)/2)	$3.5 (\frac{3 π}{2})$
194742	Solve the Inequality for x	-5x+5>=160-10x	$- 5 x + 5 \geq 160 - 10 x$
194743	Simplify	(1/(x^-2*x^5))^(1/6)	${(\frac{1}{x^{- 2} \cdot x^{5}})}^{\frac{1}{6}}$
194744	Find the Equation Using Slope-Intercept Form	m=4/15 ; passes through (5,9)	$m = \frac{4}{15}$ ; passes through $(5, 9)$
194745	Simplify	2a-(7a-(3a-7b)+(10a-9b))	$2 a - (7 a - (3 a - 7 b) + (10 a - 9 b))$
194746	Find the Equation Using Two Points	f(0)=2 and f(2)=4	$f (0) = 2$ and $f (2) = 4$
194747	Simplify	(2a^2)/(4a^2-4ab)	$\frac{2 a^{2}}{4 a^{2} - 4 a b}$
194748	Convert to Interval Notation	x<=4 or x>=11	$x \leq 4$ or $x \geq 11$
194749	Graph	2y>\|4x-5\|	$2 y > \| 4 x - 5 \|$
194750	Solve the Inequality for x	(x-4)^2<=0	${(x - 4)}^{2} \leq 0$
194751	Simplify	square root of 6*4 square root of 24	$\sqrt{6} \cdot 4 \sqrt{24}$
194752	Solve for x	2(x+7)^(2/3)=8	$2 {(x + 7)}^{\frac{2}{3}} = 8$
194753	Graph	y<1 and y>=x	$y < 1$ and $y \geq x$
194754	Evaluate	(2(-1/2)^2)/((-1/2)^2-1)	$\frac{2 {(- \frac{1}{2})}^{2}}{{(- \frac{1}{2})}^{2} - 1}$
194755	Divide	(2.410^-9)/(610^-6)	$\frac{2.4 \cdot 10^{- 9}}{6 \cdot 10^{- 6}}$
194756	Solve the Inequality for m	log base 3 of 27<m	$\log_{3} (27) < m$
194757	Simplify	i^6*i^6	$i^{6} \cdot i^{6}$
194758	Solve for q	11q-45q+18q-2q+3q=-30	$11 q - 45 q + 18 q - 2 q + 3 q = - 30$
194759	Graph Using a Table of Values	f(x)=(5x+15)/(x^2+2x-15)	$f (x) = \frac{5 x + 15}{x^{2} + 2 x - 15}$
194760	Solve for s	N=r(A-s)	$N = r (A - s)$
194761	Find the x and y Intercepts	y = cube root of x-2	$y = \sqrt[3]{x - 2}$
194762	Factor	3a+3b+ax+bx	$3 a + 3 b + a x + b x$
194763	Simplify	(16x^-8y^-16)^(-3/4)	${(16 x^{- 8} y^{- 16})}^{- \frac{3}{4}}$
194764	Find the Domain and Range	y = square root of (x-1)/(x+3)	$y = \sqrt{\frac{x - 1}{x + 3}}$
194765	Graph	N=(20(5+3t))/(1+0.04t)	$N = \frac{20 (5 + 3 t)}{1 + 0.04 t}$
194766	Evaluate the Function	f(x)=3x^3-3x^2+x-3 at x=-1	$f (x) = 3 x^{3} - 3 x^{2} + x - 3$ at $x = - 1$
194767	Find the Holes in the Graph	f(x)=3/(x-2)	$f (x) = \frac{3}{x - 2}$
194768	Factor	36m^2-9/25	$36 m^{2} - \frac{9}{25}$
194769	Find All Complex Solutions	2sin(x)^2-sin(x)=1	$2 \sin^{2} (x) - \sin (x) = 1$
194770	Find the End Behavior	f(x)=2(x+1)^3-5	$f (x) = 2 {(x + 1)}^{3} - 5$
194771	Evaluate the Function	F(x+h)=x/(x^2+1)	$F (x + h) = \frac{x}{x^{2} + 1}$
194772	Solve the System of Equations	-x+y=1 -2x-y=-4	$- x + y = 1$ $- 2 x - y = - 4$
194773	Solve the Inequality for x	-29>-3x+7	$- 29 > - 3 x + 7$
194774	Evaluate	(2x^4y^-4z^-3)/(3x^2y^-3z^4)	$\frac{2 x^{4} y^{- 4} z^{- 3}}{3 x^{2} y^{- 3} z^{4}}$
194775	Graph Using a Table of Values	y = log base 6 of x	$y = \log_{6} (x)$
194776	Factor	ab+a+b+1	$a b + a + b + 1$
194777	Evaluate	square root of 48/x	$\sqrt{\frac{48}{x}}$
194778	Solve for x	cube root of 8^x=65536	$\sqrt[3]{8^{x}} = 65536$
194779	Solve for x	(x+15)/-3>-7	$\frac{x + 15}{- 3} > - 7$
194780	Evaluate	2^3(3*5^2+2^2)	$2^{3} (3 \cdot 5^{2} + 2^{2})$
194781	Solve for s	3s^2+8s=2s-9	$3 s^{2} + 8 s = 2 s - 9$
194782	Graph	5x-y>=5 and y<2	$5 x - y \geq 5$ and $y < 2$
194783	Solve for x	-15=-6(3+x)+4(x-6)	$- 15 = - 6 (3 + x) + 4 (x - 6)$
194784	Simplify	(n/(m^2p^4))^(1/2)	${(\frac{n}{m^{2} p^{4}})}^{\frac{1}{2}}$
194785	Find the Function	f(x)=6(2x-4)	$f (x) = 6 (2 x - 4)$
194786	Solve Using the Quadratic Formula	x^2+21=-10x-3	$x^{2} + 21 = - 10 x - 3$
194787	Find g(f(x))	f(x)=x/2 g(x)=2x	$f (x) = \frac{x}{2}$ $g (x) = 2 x$
194788	Simplify	(2+3i)/(4-2i)	$\frac{2 + 3 i}{4 - 2 i}$
194789	Evaluate the Function	f(x)=2x^2+x-3 at x=4	$f (x) = 2 x^{2} + x - 3$ at $x = 4$
194790	Solve for x	8<=x+5	$8 \leq x + 5$
194791	Solve for x	6=\|x\|-2	$6 = \| x \| - 2$
194792	Solve for n	-5n-4(-7-4n)=36+7n	$- 5 n - 4 (- 7 - 4 n) = 36 + 7 n$
194793	Solve by Factoring	-2v^2-v+12=-3v^2+6v	$- 2 v^{2} - v + 12 = - 3 v^{2} + 6 v$
194794	Solve for b	(b-4z)/7=a	$\frac{b - 4 z}{7} = a$
194795	Solve for p	7/x-3/2=(n-mx)/(px)	$\frac{7}{x} - \frac{3}{2} = \frac{n - m x}{p x}$
194796	Expand Using the Binomial Theorem	(y^3+y^-1)^10	${(y^{3} + y^{- 1})}^{10}$
194797	Graph	1/(x^2-3)=y+1	$\frac{1}{x^{2} - 3} = y + 1$
194798	Simplify	(-2)(4-2a+3x)-(-5)(-9+5a-x)	$(- 2) (4 - 2 a + 3 x) - (- 5) (- 9 + 5 a - x)$
194799	Solve for h	125=25^(2h+1)	$125 = 25^{2 h + 1}$
194800	Simplify	e^-4*e^6	$e^{- 4} \cdot e^{6}$