Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
172601	Solve by Substitution	y=-x^2+x-1 y=-x-1	$y = - x^{2} + x - 1$ $y = - x - 1$
172602	Simplify	(x^2-8x-20)/(x-10)*(3x)/(x+2)	$\frac{x^{2} - 8 x - 20}{x - 10} \cdot \frac{3 x}{x + 2}$
172603	Solve the Inequality for j	15(j-3)+3j<45	$15 (j - 3) + 3 j < 45$
172604	Graph	y<-2/3x+3 y>=3x-8	$y < - \frac{2}{3} x + 3$ $y \geq 3 x - 8$
172605	Solve the System of Inequalities	-5x-9<26 and -5x-9>=-4	$- 5 x - 9 < 26$ and $- 5 x - 9 \geq - 4$
172606	Graph	n(x)=1/2\|x-6\|	$n (x) = \frac{1}{2} \| x - 6 \|$
172607	Solve for a	-1/2=3/4a-7/8	$- \frac{1}{2} = \frac{3}{4} a - \frac{7}{8}$
172608	Simplify	6/( square root of 5+ square root of 3)	$\frac{6}{\sqrt{5} + \sqrt{3}}$
172609	Simplify	((-6x^2y^3)^4)/(8x^9y^7*3xy^5)	$\frac{{(- 6 x^{2} y^{3})}^{4}}{8 x^{9} y^{7} \cdot 3 x y^{5}}$
172610	Graph	y<3 y<=-x+1	$y < 3$ $y \leq - x + 1$
172611	Multiply	(49x^2-25)/(2x^2+x-21)*(4x-12)/(7x+5)	$\frac{49 x^{2} - 25}{2 x^{2} + x - 21} \cdot \frac{4 x - 12}{7 x + 5}$
172612	Simplify	(2/3)^5*(2/3)^3	${(\frac{2}{3})}^{5} \cdot {(\frac{2}{3})}^{3}$
172613	Solve the Inequality for x	5/3(6x+3)<=2x-7	$\frac{5}{3} (6 x + 3) \leq 2 x - 7$
172614	Evaluate	3-(5-10)-7+1-6	$3 - (5 - 10) - 7 + 1 - 6$
172615	Solve the System of Inequalities	3x-18<4x-23 and x-16<-22	$3 x - 18 < 4 x - 23$ and $x - 16 < - 22$
172616	Graph Using a Table of Values	y=\|x+1\|	$y = \| x + 1 \|$
172617	Find the Roots (Zeros)	x+3	$x + 3$
172618	Write in Standard Form	(n^2-3n+1)(2n+3)	$(n^{2} - 3 n + 1) (2 n + 3)$
172619	Find the Product	(25x^2+20xy+16y^2)(5x-4y)	$(25 x^{2} + 20 x y + 16 y^{2}) (5 x - 4 y)$
172620	Solve for b	A=1/2h(b_1+b_2) for b_1	$A = \frac{1}{2} h (b_{1} + b_{2})$ for $b_{1}$
172621	Solve Using the Quadratic Formula	x^2+7x=x-10	$x^{2} + 7 x = x - 10$
172622	Solve for x	sec(x)-1=0	$\sec (x) - 1 = 0$
172623	Solve for a	A=1/2(a+b)	$A = \frac{1}{2} (a + b)$
172624	Write as a Single Logarithm	natural log of a- natural log of d- natural log of c	$\ln (a) - \ln (d) - \ln (c)$
172625	Graph	{x\|x>0}	${x \| x > 0}$
172626	Subtract	8/12-4/8	$\frac{8}{12} - \frac{4}{8}$
172627	Simplify	x^2y^2 square root of 63x^2y^6	$x^{2} y^{2} \sqrt{63 x^{2} y^{6}}$
172628	Evaluate	1/2(1)+1	$\frac{1}{2} (1) + 1$
172629	Solve the Inequality for x	4+x>=-3	$4 + x \geq - 3$
172630	Simplify	(15p^-1d^9)/(3(p^2d^3)^-3)	$\frac{15 p^{- 1} d^{9}}{3 {(p^{2} d^{3})}^{- 3}}$
172631	Write in Standard Form	(-x^3-x)+(6x^2+6x-7)	$(- x^{3} - x) + (6 x^{2} + 6 x - 7)$
172632	Simplify	(5n^-7c^4)/(-3(n^-3c^2)^2)	$\frac{5 n^{- 7} c^{4}}{- 3 {(n^{- 3} c^{2})}^{2}}$
172633	Find the x and y Intercepts	(x+3)(x-2)=y	$(x + 3) (x - 2) = y$
172634	Solve for x	sec(x)^2=2	$\sec^{2} (x) = 2$
172635	Factor	216x^4ay-6y^5a	$216 x^{4} a y - 6 y^{5} a$
172636	Find the Holes in the Graph	(x^2-1)/(x-1)	$\frac{x^{2} - 1}{x - 1}$
172637	Simplify	((2u^-5)^-1)/(6b^3)	$\frac{{(2 u^{- 5})}^{- 1}}{6 b^{3}}$
172638	Solve for y	-10x+12i=20+3yi	$- 10 x + 12 i = 20 + 3 y i$
172639	Simplify	(4y^3-0.5y^2)^2	${(4 y^{3} - 0.5 y^{2})}^{2}$
172640	Solve for a	-5\|6a+21\|=-15	$- 5 \| 6 a + 21 \| = - 15$
172641	Find the Roots (Zeros)	(x+2)(x-3)=0	$(x + 2) (x - 3) = 0$
172642	Simplify	(5/(2x+3y))÷(10/(4x^2-9y^2))	$\frac{5}{2 x + 3 y} \div \frac{10}{4 x^{2} - 9 y^{2}}$
172643	Simplify	((6^-4)^-9)/(6^6)	$\frac{{(6^{- 4})}^{- 9}}{6^{6}}$
172644	Solve for k	7k-2>=-9	$7 k - 2 \geq - 9$
172645	Simplify	5x^2+2y-3x-2y	$5 x^{2} + 2 y - 3 x - 2 y$
172646	Simplify	(20y^2h^-1)/((5y^5h^2)^2)	$\frac{20 y^{2} h^{- 1}}{{(5 y^{5} h^{2})}^{2}}$
172647	Find the Inverse	(2x-1)/x	$\frac{2 x - 1}{x}$
172648	Solve for k	9(k-2)=-6	$9 (k - 2) = - 6$
172649	Evaluate	x+1/x	$x + \frac{1}{x}$
172650	Graph Using a Table of Values	y=x^2+2x-1	$y = x^{2} + 2 x - 1$
172651	Simplify	(-2(p^-4y^4)^-3)/(6p^-3y^-1)	$\frac{- 2 {(p^{- 4} y^{4})}^{- 3}}{6 p^{- 3} y^{- 1}}$
172652	Graph Using a Table of Values	f(x)=-3x+2	$f (x) = - 3 x + 2$
172653	Solve for n	-14n+q=rt-4n	$- 14 n + q = r t - 4 n$
172654	Find the Quotient	(-7x^4+20x^2+10+5x^3)÷(-x^2+x+3)	$(- 7 x^{4} + 20 x^{2} + 10 + 5 x^{3}) \div (- x^{2} + x + 3)$
172655	Rationalize the Denominator	( square root of 12)/(4- square root of 3)	$\frac{\sqrt{12}}{4 - \sqrt{3}}$
172656	Subtract	(5x^4-4x^3-2x^2+x-19)-(x^4+5x^3+8x^2+x+5)	$(5 x^{4} - 4 x^{3} - 2 x^{2} + x - 19) - (x^{4} + 5 x^{3} + 8 x^{2} + x + 5)$
172657	Graph	f(x)=2^x , f^-1(x) = log base 2 of x	$f (x) = 2^{x}$ , $f^{- 1} (x) = \log_{2} (x)$
172658	Graph	-2/3x+2=y	$- \frac{2}{3} x + 2 = y$
172659	Solve for n	14=6n+6-2n	$14 = 6 n + 6 - 2 n$
172660	Simplify	(4x^2)/(x^2)	$\frac{4 x^{2}}{x^{2}}$
172661	Convert to Polar	x=6	$x = 6$
172662	Simplify	((-3u^-3h^3)^5)/(12u^-9h^10)	$\frac{{(- 3 u^{- 3} h^{3})}^{5}}{12 u^{- 9} h^{10}}$
172663	Solve for x	square root of x-8=0	$\sqrt{x} - 8 = 0$
172664	Solve the System of Inequalities	2x+8<=10 or 2x+8>20	$2 x + 8 \leq 10$ or $2 x + 8 > 20$
172665	Solve for x	3x-8(2x+3)=-6(2x+5)	$3 x - 8 (2 x + 3) = - 6 (2 x + 5)$
172666	Simplify	square root of -5* square root of 20	$\sqrt{- 5} \cdot \sqrt{20}$
172667	Factor	8x^3-12x^2+6x-1	$8 x^{3} - 12 x^{2} + 6 x - 1$
172668	Solve for n	5/8=n/(n-9)	$\frac{5}{8} = \frac{n}{n - 9}$
172669	Solve the Absolute Value Inequality for x	\|10x-4\|=3	$\| 10 x - 4 \| = 3$
172670	Solve for a	-4(a+2)=a-6(2+a)	$- 4 (a + 2) = a - 6 (2 + a)$
172671	Simplify	limit as x approaches 2 of (x^3-8)/(x-2)	$lim_{x \to 2} \frac{x^{3} - 8}{x - 2}$
172672	Simplify	square root of 64- square root of -289	$\sqrt{64} - \sqrt{- 289}$
172673	Solve the Inequality for c	2c+6>5c-9	$2 c + 6 > 5 c - 9$
172674	Find the Product	(1-3y)^3	${(1 - 3 y)}^{3}$
172675	Solve for z	z-4/9-1/3=5/9	$z - \frac{4}{9} - \frac{1}{3} = \frac{5}{9}$
172676	Divide	((p^2-q^2)/(p+q))÷((p+q)/(p-q))	$\frac{p^{2} - q^{2}}{p + q} \div \frac{p + q}{p - q}$
172677	Graph	f(x)=- cube root of x+2	$f (x) = - \sqrt[3]{x} + 2$
172678	Simplify	8r^2(r^2-2)	$8 r^{2} (r^{2} - 2)$
172679	Find the x and y Intercepts	R(x)=(x^2)/(x^2+x-6)	$R (x) = \frac{x^{2}}{x^{2} + x - 6}$
172680	Solve for a	a/-3-2=6	$\frac{a}{- 3} - 2 = 6$
172681	Solve for x	-2/3x+3/7=1/2	$- \frac{2}{3} x + \frac{3}{7} = \frac{1}{2}$
172682	Factor	5(3x^2+9x)-14	$5 (3 x^{2} + 9 x) - 14$
172683	Simplify	5x-4x^2-1+x-8x^2+7	$5 x - 4 x^{2} - 1 + x - 8 x^{2} + 7$
172684	Simplify	square root of (6+8i)(8i-6)	$\sqrt{(6 + 8 i) (8 i - 6)}$
172685	Solve Using the Quadratic Formula	3(x^2-9)-3=-9	$3 (x^{2} - 9) - 3 = - 9$
172686	Solve for x	13x-22=2(9x+10)	$13 x - 22 = 2 (9 x + 10)$
172687	Simplify	((3t^-4n^-5)^-3)/(4n^3)	$\frac{{(3 t^{- 4} n^{- 5})}^{- 3}}{4 n^{3}}$
172688	Simplify	((6a^2)/(15a+10))÷(5/(15a+10))	$\frac{6 a^{2}}{15 a + 10} \div \frac{5}{15 a + 10}$
172689	Graph	f^-1(x)=x/2+2	$f^{- 1} (x) = \frac{x}{2} + 2$
172690	Solve the Inequality for x	\|x\|<1	$\| x \| < 1$
172691	Solve for x	x/6+(x+5)/2=(5x)/12	$\frac{x}{6} + \frac{x + 5}{2} = \frac{5 x}{12}$
172692	Write in Standard Form	9x=3x^2	$9 x = 3 x^{2}$
172693	Simplify	((2x^2y^2)/(x^3y^3))^2	${(\frac{2 x^{2} y^{2}}{x^{3} y^{3}})}^{2}$
172694	Solve the System of Inequalities	9-2x<=-5 or 1/2x+13<15	$9 - 2 x \leq - 5$ or $\frac{1}{2} x + 13 < 15$
172695	Find the Standard Form of the Parabola	x^2+6x+8y=7	$x^{2} + 6 x + 8 y = 7$
172696	Solve for x	square root of 2x+4=1/2x+1	$\sqrt{2 x + 4} = \frac{1}{2} x + 1$
172697	Write in Standard Form	(8-3a^2)(2a^2+6)	$(8 - 3 a^{2}) (2 a^{2} + 6)$
172698	Simplify	5 square root of 6x+7 square root of 3x-2 square root of 12x	$5 \sqrt{6 x} + 7 \sqrt{3 x} - 2 \sqrt{12 x}$
172699	Simplify	(12a^8)/((3a^-1)^-1)	$\frac{12 a^{8}}{{(3 a^{- 1})}^{- 1}}$
172700	Find the Roots (Zeros)	(t+1)^2+(t-8)^2=45	${(t + 1)}^{2} + {(t - 8)}^{2} = 45$