Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
189701	Evaluate	(2/3)/( square root of 9-(2/3)^2)	$\frac{\frac{2}{3}}{\sqrt{9 - {(\frac{2}{3})}^{2}}}$
189702	Find the x and y Intercepts	y=(4x^2+12x)/(x+7)	$y = \frac{4 x^{2} + 12 x}{x + 7}$
189703	Solve for x	2x+6=3x+9-3	$2 x + 6 = 3 x + 9 - 3$
189704	Simplify	-e^x*e^x	$- e^{x} \cdot e^{x}$
189705	Simplify	(25x^2-14xy+4)-(7x^2-9y)+(2xy+7)	$(25 x^{2} - 14 x y + 4) - (7 x^{2} - 9 y) + (2 x y + 7)$
189706	Find the Roots (Zeros)	f(x)=x^6-8x^5+12x^4+80x^3-416x^2+768x-512	$f (x) = x^{6} - 8 x^{5} + 12 x^{4} + 80 x^{3} - 416 x^{2} + 768 x - 512$
189707	Solve for t	\|2t-3\|=3t-2	$\| 2 t - 3 \| = 3 t - 2$
189708	Divide	((21x^2+x-2)/(3x-3))÷((49x^2-4)/(x-1))	$\frac{21 x^{2} + x - 2}{3 x - 3} \div \frac{49 x^{2} - 4}{x - 1}$
189709	Graph	9x>=36	$9 x \geq 36$
189710	Simplify	(5+25/x)/(x/5-5/x)	$\frac{5 + \frac{25}{x}}{\frac{x}{5} - \frac{5}{x}}$
189711	Find the Roots (Zeros)	f(x)=-(x+1)(x-3)(x+2)	$f (x) = - (x + 1) (x - 3) (x + 2)$
189712	Find the Degree, Leading Term, and Leading Coefficient	f(x)=2x-x^6+7+9x^4	$f (x) = 2 x - x^{6} + 7 + 9 x^{4}$
189713	Solve for y	xy=x+y	$x y = x + y$
189714	Find All Complex Solutions	2cos(x)=1	$2 \cos (x) = 1$
189715	Evaluate	(6^2-5^2)^2	${(6^{2} - 5^{2})}^{2}$
189716	Solve for x	2+ square root of 12-2x=x	$2 + \sqrt{12 - 2 x} = x$
189717	Graph	y=1/2\|x\|-3	$y = \frac{1}{2} \| x \| - 3$
189718	Solve for k	8=-12+k/-4	$8 = - 12 + \frac{k}{- 4}$
189719	Solve for x	-2(2x-2)+5>-5x-6	$- 2 (2 x - 2) + 5 > - 5 x - 6$
189720	Find the Exact Value	(sin(theta))/(cos(theta))+(cos(theta))/(sin(theta))	$\frac{\sin (θ)}{\cos (θ)} + \frac{\cos (θ)}{\sin (θ)}$
189721	Subtract	-2/3-5/6	$- \frac{2}{3} - \frac{5}{6}$
189722	Find the Parallel Line	(-7,-2) which is parallel to the line y=2x-3	$(- 7, - 2)$ which is parallel to the line $y = 2 x - 3$
189723	Simplify	((x-8)/(10x^3+70x^2))÷(1/(x+7))	$\frac{x - 8}{10 x^{3} + 70 x^{2}} \div \frac{1}{x + 7}$
189724	Solve for x	x^2-5x=-9/4	$x^{2} - 5 x = - \frac{9}{4}$
189725	Find the Exact Value	-2^2-5^2+6^2	$- 2^{2} - 5^{2} + 6^{2}$
189726	Graph	y=(-x)^2-2	$y = {(- x)}^{2} - 2$
189727	Graph Using a Table of Values	f(x)=(x^2-4x+4)/(x^3-4x^2)	$f (x) = \frac{x^{2} - 4 x + 4}{x^{3} - 4 x^{2}}$
189728	Solve for x	2x+y=5x-6	$2 x + y = 5 x - 6$
189729	Solve for x	x/5+2/3=x/9	$\frac{x}{5} + \frac{2}{3} = \frac{x}{9}$
189730	Graph Using a Table of Values	y=x^5	$y = x^{5}$
189731	Solve for k	-144pi=-12pik	$- 144 π = - 12 π k$
189732	Evaluate	10-4 square root of 1/16	$10 - 4 \sqrt{\frac{1}{16}}$
189733	Solve the System of Inequalities	24>-3r>-9	$24 > - 3 r > - 9$
189734	Solve for θ	tan(theta)^2=1	$\tan^{2} (θ) = 1$
189735	Write in Standard Form	(510^3)(9*10^7)	$(5 \cdot 10^{3}) \cdot (9 \cdot 10^{7})$
189736	Solve the System of Equations	-x+y+4z=10 x+3y+2z=4 2x+2y-3z=-7	$- x + y + 4 z = 10$ $x + 3 y + 2 z = 4$ $2 x + 2 y - 3 z = - 7$
189737	Solve for k	5/6k+2/3=4/3	$\frac{5}{6} k + \frac{2}{3} = \frac{4}{3}$
189738	Graph	F(x)=1/((x+5)(x-2))	$F (x) = \frac{1}{(x + 5) (x - 2)}$
189739	Solve for x	8x+1=(3x+1)/5	$8 x + 1 = \frac{3 x + 1}{5}$
189740	Simplify	((2x+1)/x)/((4-x)/x)	$\frac{\frac{2 x + 1}{x}}{\frac{4 - x}{x}}$
189741	Solve for p	15-8p+6.75p=10	$15 - 8 p + 6.75 p = 10$
189742	Solve for x	(3x-7)/2-(x+2)/3=x-6	$\frac{3 x - 7}{2} - \frac{x + 2}{3} = x - 6$
189743	Evaluate	-1^2+3^2+-1-3	$- 1^{2} + 3^{2} + - 1 - 3$
189744	Simplify	(2^-4)/(4^0)	$\frac{2^{- 4}}{4^{0}}$
189745	Determine if Parallel	y=(8x)/3+2 -32x+12y=3	$y = \frac{8 x}{3} + 2$ $- 32 x + 12 y = 3$
189746	Solve for b	7b+4=5b	$7 b + 4 = 5 b$
189747	Find the Roots (Zeros)	15x^2-5x+6=9x^2	$15 x^{2} - 5 x + 6 = 9 x^{2}$
189748	Simplify	limit as x approaches 3 of (x^3-27)/(x-3)	$lim_{x \to 3} \frac{x^{3} - 27}{x - 3}$
189749	Solve for a	7a-8b=10x	$7 a - 8 b = 10 x$
189750	Find the GCF	b	$b$
189751	Simplify	cube root of (54w^6)/(2w^3v^-3)	$\sqrt[3]{\frac{54 w^{6}}{2 w^{3} v^{- 3}}}$
189752	Solve for θ	csc(theta)=1	$\csc (θ) = 1$
189753	Solve for x	4-2(x+7)=3(x+5)	$4 - 2 (x + 7) = 3 (x + 5)$
189754	Solve for m	6/m+2=(m+3)/(m-1)	$\frac{6}{m} + 2 = \frac{m + 3}{m - 1}$
189755	Solve the Absolute Value Inequality for a	(\|6a+3\|)/3>2	$\frac{\| 6 a + 3 \|}{3} > 2$
189756	Find All Complex Solutions	5cos(x)=-2sin(x)^2+4	$5 \cos (x) = - 2 \sin^{2} (x) + 4$
189757	Simplify the Radical Expression	7 square root of 96m^3	$7 \sqrt{96 m^{3}}$
189758	Simplify	(1/(b^2)+a^2)/(1/(a^2)+b^2)	$\frac{\frac{1}{b^{2}} + a^{2}}{\frac{1}{a^{2}} + b^{2}}$
189759	Simplify	(x^2+x-6)/(x^2+6x+9)	$\frac{x^{2} + x - 6}{x^{2} + 6 x + 9}$
189760	Convert to Polar	x^2+y^2=4y	$x^{2} + y^{2} = 4 y$
189761	Evaluate	(8(2)-4^2)+7(4)	$(8 (2) - 4^{2}) + 7 (4)$
189762	Graph	f(x)=-1 if -1<=x<0; -2 if 0<=x<1; -3 if 1<=x<2	$f (x) = {\begin{cases} - 1 & - 1 \leq x < 0 \\ - 2 & 0 \leq x < 1 \\ - 3 & 1 \leq x < 2 \end{cases}$
189763	Find the x and y Intercepts	f(x)=(9x^2+12x)/(6x+8)	$f (x) = \frac{9 x^{2} + 12 x}{6 x + 8}$
189764	Solve for x	3/(x+4)+7/(x-4)=(x+3)/(x-4)	$\frac{3}{x + 4} + \frac{7}{x - 4} = \frac{x + 3}{x - 4}$
189765	Solve for x	5x+5=3(5x-4)-10x	$5 x + 5 = 3 (5 x - 4) - 10 x$
189766	Solve for x	3\|1/2x+2\|>6	$3 \| \frac{1}{2} x + 2 \| > 6$
189767	Solve for m	square root of 2m-6-16=0	$\sqrt{2 m - 6} - 16 = 0$
189768	Simplify	(- square root of 3)/3	$\frac{- \sqrt{3}}{3}$
189769	Write as a Single Logarithm	(2 log of 7)/3	$\frac{2 \log (7)}{3}$
189770	Find the x and y Intercepts	y=x square root of x+3	$y = x \sqrt{x + 3}$
189771	Solve for d	3/4d-1/2=3/8+1/2d	$\frac{3}{4} d - \frac{1}{2} = \frac{3}{8} + \frac{1}{2} d$
189772	Solve for θ	4sec(theta)+6=-2	$4 \sec (θ) + 6 = - 2$
189773	Solve the Absolute Value Inequality for x	4\|x+7\|+5>17	$4 \| x + 7 \| + 5 > 17$
189774	Evaluate Using the Given Value	9/g+2h+5 when g=3 and h=6	$\frac{9}{g} + 2 h + 5$ when $g = 3$ and $h = 6$
189775	Multiply	(a+b+c)(a+b-c)	$(a + b + c) (a + b - c)$
189776	Evaluate	4(4÷2+4)	$4 (4 \div 2 + 4)$
189777	Solve the Inequality for x	(7x)/3<2	$\frac{7 x}{3} < 2$
189778	Find the Product	fifth root of 4x^2* fifth root of 4x^2	$\sqrt[5]{4 x^{2}} \cdot \sqrt[5]{4 x^{2}}$
189779	Simplify	5a-6b+8c+9a-20c-b+6b-c	$5 a - 6 b + 8 c + 9 a - 20 c - b + 6 b - c$
189780	Solve the System of Equations	2x=16-8y x+4y=25	$2 x = 16 - 8 y$ $x + 4 y = 25$
189781	Divide	(14a^3b^4)/(-2ab^2)	$\frac{14 a^{3} b^{4}}{- 2 a b^{2}}$
189782	Solve for x	-x=1-1/2(-6x+1)-3/2x	$- x = 1 - \frac{1}{2} (- 6 x + 1) - \frac{3}{2} x$
189783	Simplify	x^2 square root of 8y^2	$x^{2} \sqrt{8 y^{2}}$
189784	Find the Vertex Form	f(x)=8x-x^2+3	$f (x) = 8 x - x^{2} + 3$
189785	Solve for x	4/3x-4=5+x	$\frac{4}{3} x - 4 = 5 + x$
189786	Evaluate	x^2+y^2=16	$x^{2} + y^{2} = 16$
189787	Solve for a	x^(1/6)x^(5/6)=x^a	$x^{\frac{1}{6}} x^{\frac{5}{6}} = x^{a}$
189788	Simplify	cos(x)^2sec(x)^2-cos(x)^2	$\cos^{2} (x) \sec^{2} (x) - \cos^{2} (x)$
189789	Solve the System of Equations	2x+2y+3z=4 5x+3y+5z=5 3x+4y+6z=5	$2 x + 2 y + 3 z = 4$ $5 x + 3 y + 5 z = 5$ $3 x + 4 y + 6 z = 5$
189790	Write the Fraction in Simplest Form	(2^5)/(6^5)	$\frac{2^{5}}{6^{5}}$
189791	Graph	-9x>=-90	$- 9 x \geq - 90$
189792	Simplify	-3mn(m^2n^3+2mn)	$- 3 m n (m^{2} n^{3} + 2 m n)$
189793	Solve the Inequality for c	c-5<=6	$c - 5 \leq 6$
189794	Solve for x	v^2=v_0^2+2a(x-x_0)	$v^{2} = {v_{0}}^{2} + 2 a (x - x_{0})$
189795	Solve for f	-10f+1>-f-5	$- 10 f + 1 > - f - 5$
189796	Find the x and y Intercepts	f(x)=(5x^2-43x-70)/(x^2+8x)	$f (x) = \frac{5 x^{2} - 43 x - 70}{x^{2} + 8 x}$
189797	Solve for x	2+ square root of x+10=x	$2 + \sqrt{x + 10} = x$
189798	Simplify	2x^3y^5*5xy^2	$2 x^{3} y^{5} \cdot 5 x y^{2}$
189799	Solve the Absolute Value Inequality for z	2\|z+1\|-3=z-2	$2 \| z + 1 \| - 3 = z - 2$
189800	Simplify	-x<-29	$- x < - 29$