Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
219501	Graph	-2y^2+x-4y+1=0	$- 2 y^{2} + x - 4 y + 1 = 0$
219502	Subtract	2/5cd^2-1/3cd^2	$\frac{2}{5} c d^{2} - \frac{1}{3} c d^{2}$
219503	Simplify	(7x-21)/(x^2-81)	$\frac{7 x - 21}{x^{2} - 81}$
219504	Evaluate	-3*(75÷((9-4)^2))^2	$- 3 \times {(75 \div {(9 - 4)}^{2})}^{2}$
219505	Simplify	((4a)/(2-a)-a)÷((a+2)/(a-2))	$(\frac{4 a}{2 - a} - a) \div \frac{a + 2}{a - 2}$
219506	Factor	-x^3+2x^2+x-2	$- x^{3} + 2 x^{2} + x - 2$
219507	Find the Product	(5d-12)(-7+3d)	$(5 d - 12) (- 7 + 3 d)$
219508	Find the Exact Value	cot(540 degrees )	$\cot (540 °)$
219509	Solve by Factoring	(3x+3)(x+2)=1	$(3 x + 3) (x + 2) = 1$
219510	Solve the Inequality for x	3(x+4)-5(x-1)<5	$3 (x + 4) - 5 (x - 1) < 5$
219511	Convert to Interval Notation	x<=-6 or x>-4	$x \leq - 6$ or $x > - 4$
219512	Factor by Grouping	x(b+c)+3b+3c	$x (b + c) + 3 b + 3 c$
219513	Simplify	2 cube root of 3+ cube root of 3	$2 \sqrt[3]{3} + \sqrt[3]{3}$
219514	Simplify	(2a^2-3ab+5b^2)-(a^2-2ab+3b^2)	$(2 a^{2} - 3 a b + 5 b^{2}) - (a^{2} - 2 a b + 3 b^{2})$
219515	Simplify	cube root of 2x^2* cube root of 4x	$\sqrt[3]{2 x^{2}} \cdot \sqrt[3]{4 x}$
219516	Simplify	((x^-1)/(2y^2))^-5	${(\frac{x^{- 1}}{2 y^{2}})}^{- 5}$
219517	Simplify	(3 square root of 3-2 square root of 2)* square root of 6	$(3 \sqrt{3} - 2 \sqrt{2}) \cdot \sqrt{6}$
219518	Simplify	(x-10)/(x^2-17x+70)(x^2-16x+63)/(x-9)6/(3x)	$\frac{x - 10}{x^{2} - 17 x + 70} \cdot \frac{x^{2} - 16 x + 63}{x - 9} \cdot \frac{6}{3 x}$
219519	Simplify	(x+1)(2x)	$(x + 1) (2 x)$
219520	Simplify	square root of 64+ cube root of 8	$\sqrt{64} + \sqrt[3]{8}$
219521	Factor	b^2+4a^2-4ab	$b^{2} + 4 a^{2} - 4 a b$
219522	Solve for x	sin(x)=1+cos(x)	$\sin (x) = 1 + \cos (x)$
219523	Solve the System of Inequalities	y>1/5x+3 y>=-3/5x-1	$y > \frac{1}{5} x + 3$ $y \geq - \frac{3}{5} x - 1$
219524	Solve for y	y/4-(3x)/4=1/2	$\frac{y}{4} - \frac{3 x}{4} = \frac{1}{2}$
219525	Solve for s	square root of s^2-1 = square root of 5s-5	$\sqrt{s^{2} - 1} = \sqrt{5 s - 5}$
219526	Find the Degree, Leading Term, and Leading Coefficient	h(x)=-5x^4+7x^3-6x^2+9x+2	$h (x) = - 5 x^{4} + 7 x^{3} - 6 x^{2} + 9 x + 2$
219527	Solve for y	x=1/2y^2	$x = \frac{1}{2} y^{2}$
219528	Solve for x	square root of 4x-4-2<4	$\sqrt{4 x - 4} - 2 < 4$
219529	Multiply	(4x^2y+3xy-x^2)(-x^3y^2)	$(4 x^{2} y + 3 x y - x^{2}) (- x^{3} y^{2})$
219530	Solve the Inequality for x	-2+ square root of 9-5x>=6	$- 2 + \sqrt{9 - 5 x} \geq 6$
219531	Solve the System of Equations	2x+9y-4z=-5 -x+2y-z=-3 x-4y+2z=4	$2 x + 9 y - 4 z = - 5$ $- x + 2 y - z = - 3$ $x - 4 y + 2 z = 4$
219532	Solve for b	a=-bc+d	$a = - b c + d$
219533	Write in Standard Form	(2x^2-2x+6)+(11x^3-x^2-2+5x)	$(2 x^{2} - 2 x + 6) + (11 x^{3} - x^{2} - 2 + 5 x)$
219534	Evaluate	limit as x approaches infinity of sin(x)	$lim_{x \to \infty} \sin (x)$
219535	Simplify the Radical Expression	21 root of c^-3*c^-4	$\sqrt[21]{c^{- 3} \cdot c^{- 4}}$
219536	Solve for x	log of (4x-3)^2=x-3	$\log ({(4 x - 3)}^{2}) = x - 3$
219537	Evaluate	(6-5)+4-2*3^2	$(6 - 5) + 4 - 2 \cdot 3^{2}$
219538	Simplify	((x^2-12x+32)/(2x^3-18x^2+40x)*(x^2-1)/(x^2-7x-8))÷((x^2+4x-5)/(25-x^2))	$\frac{x^{2} - 12 x + 32}{2 x^{3} - 18 x^{2} + 40 x} \cdot \frac{x^{2} - 1}{x^{2} - 7 x - 8} \div \frac{x^{2} + 4 x - 5}{25 - x^{2}}$
219539	Simplify	((-2d^2+d+15)/(9-d^2))÷((4d+1)/(2d^2+11d+15))	$\frac{- 2 d^{2} + d + 15}{9 - d^{2}} \div \frac{4 d + 1}{2 d^{2} + 11 d + 15}$
219540	Simplify	square root of (79a^2b^2)/(9a^2b^2)	$\sqrt{\frac{79 a^{2} b^{2}}{9 a^{2} b^{2}}}$
219541	Solve for x	y=x^6	$y = x^{6}$
219542	Evaluate	3(8+-5)	$3 (8 + - 5)$
219543	Find the Roots (Zeros)	3x^2+66=-30x	$3 x^{2} + 66 = - 30 x$
219544	Solve for r	6^(2r-3)=6^(r-3)	$6^{2 r - 3} = 6^{r - 3}$
219545	Simplify	square root of xy^2z^3+ square root of 9xy^2z^3	$\sqrt{x y^{2} z^{3}} + \sqrt{9 x y^{2} z^{3}}$
219546	Evaluate	(5-11)/2+7(8)	$\frac{5 - 11}{2} + 7 (8)$
219547	Find the Parallel Line	What is an equation of the line that passes through the point (-8,0) and is parallel to the line x-2y=10 ?	What is an equation of the line that passes through the point $(- 8, 0)$ and is parallel to the line $x - 2 y = 10$ ?
219548	Write in Slope-Intercept Form	4/7y=x+4	$\frac{4}{7} y = x + 4$
219549	Evaluate	square root of 8*2	$\sqrt{8} \cdot 2$
219550	Write in Slope-Intercept Form	(-3,3) and (1,2)	$(- 3, 3)$ and $(1, 2)$
219551	Graph	y<=2(x-3)^2	$y \leq 2 {(x - 3)}^{2}$
219552	Simplify	(1-25/(k^2))/(1-7/k+10/(k^2))	$\frac{1 - \frac{25}{k^{2}}}{1 - \frac{7}{k} + \frac{10}{k^{2}}}$
219553	Find the Roots (Zeros)	f(x)=x^4+x^3-4x^2-4x	$f (x) = x^{4} + x^{3} - 4 x^{2} - 4 x$
219554	Solve the Inequality for p	-p/7>-9	$- \frac{p}{7} > - 9$
219555	Simplify	square root of x*(- square root of x)	$\sqrt{x} \cdot (- \sqrt{x})$
219556	Simplify	2/(2^2)	$\frac{2}{2^{2}}$
219557	Solve for x	6^2=5^2+x^2	$6^{2} = 5^{2} + x^{2}$
219558	Simplify	(11x^5+7x^3-2x)/(x^2)	$\frac{11 x^{5} + 7 x^{3} - 2 x}{x^{2}}$
219559	Solve for x	4/(x-2)-2/x=14/(x^2-2x)	$\frac{4}{x - 2} - \frac{2}{x} = \frac{14}{x^{2} - 2 x}$
219560	Round to the Nearest Whole Number	7/8	$\frac{7}{8}$
219561	Factor	(a^6-b^6)	$(a^{6} - b^{6})$
219562	Simplify	(3y+8y^2+2)-3(y^2-2y+5)	$(3 y + 8 y^{2} + 2) - 3 (y^{2} - 2 y + 5)$
219563	Write the Fraction in Simplest Form	(9 square root of 2)/( square root of 10+ square root of 18)	$\frac{9 \sqrt{2}}{\sqrt{10} + \sqrt{18}}$
219564	Convert to Radical Form	(6a^2b^3)^(-1/2)	${(6 a^{2} b^{3})}^{- \frac{1}{2}}$
219565	Simplify	4/(x+5)+(2x)/(x^2-25)	$\frac{4}{x + 5} + \frac{2 x}{x^{2} - 25}$
219566	Rationalize the Denominator	4/( cube root of 2x)	$\frac{4}{\sqrt[3]{2 x}}$
219567	Simplify	square root of (4- square root of 3)^2+ square root of 28+10 square root of 3	$\sqrt{{(4 - \sqrt{3})}^{2}} + \sqrt{28 + 10 \sqrt{3}}$
219568	Factor	x^3-4x^2y-xy^2+4y^3	$x^{3} - 4 x^{2} y - x y^{2} + 4 y^{3}$
219569	Divide	1÷(( square root of 2)/2)	$1 \div \frac{\sqrt{2}}{2}$
219570	Solve for I	I/175.393+0.663=r	$\frac{I}{175.393} + 0.663 = r$
219571	Convert to a Decimal	-11pirad	$- 11 π$ radians
219572	Simplify	(7x^3+7x^2-4)+(x^3-5x^2-3x+8)	$(7 x^{3} + 7 x^{2} - 4) + (x^{3} - 5 x^{2} - 3 x + 8)$
219573	Solve for x	3x^2=2+x	$3 x^{2} = 2 + x$
219574	Evaluate	1 2/3-(-5 2/3)	$1 \frac{2}{3} - (- 5 \frac{2}{3})$
219575	Find the Exact Value	2-(9-(4-3))	$2 - (9 - (4 - 3))$
219576	Write in Slope-Intercept Form	(-4,13) and (-2,6)	$(- 4, 13)$ and $(- 2, 6)$
219577	Solve for x	-10+4x-5x=-7-2+8x	$- 10 + 4 x - 5 x = - 7 - 2 + 8 x$
219578	Simplify	(5x(y+2))/(6y+12)	$\frac{5 x (y + 2)}{6 y + 12}$
219579	Find the Exact Value	tan(2)(-1/3)	$\tan (2) (- \frac{1}{3})$
219580	Solve the System of Inequalities	3/4x+7<1 or 9(4-x)<=36	$\frac{3}{4} x + 7 < 1$ or $9 (4 - x) \leq 36$
219581	Solve for b	(6b)^(1/2)=(8-2b)^(1/2)	${(6 b)}^{\frac{1}{2}} = {(8 - 2 b)}^{\frac{1}{2}}$
219582	Solve for x	10/(2x+8)=10	$\frac{10}{2 x + 8} = 10$
219583	Solve the System of Equations	x+y=3 y=x-5	$x + y = 3$ $y = x - 5$
219584	Solve the System of Equations	x=2y+5 y=(2x-3)(x+9)	$x = 2 y + 5$ $y = (2 x - 3) (x + 9)$
219585	Find the GCF	x^5y^2+x^2y^7z	$x^{5} y^{2} + x^{2} y^{7} z$
219586	Simplify	zx^-3y^0*2zx^-1y^-1	$z x^{- 3} y^{0} \cdot 2 z x^{- 1} y^{- 1}$
219587	Subtract	(8b^3-6+3b^4)-(b^4-7b^3-3)	$(8 b^{3} - 6 + 3 b^{4}) - (b^{4} - 7 b^{3} - 3)$
219588	Evaluate	(52^32-42^30)/(4^16)	$\frac{5 \cdot 2^{32} - 4 \cdot 2^{30}}{4^{16}}$
219589	Simplify	1/20+2/(5x^3)	$\frac{1}{20} + \frac{2}{5 x^{3}}$
219590	Divide	(-30x^3y+12x^2y^2-18x^2y)÷(-6x^2y)	$(- 30 x^{3} y + 12 x^{2} y^{2} - 18 x^{2} y) \div (- 6 x^{2} y)$
219591	Solve for x	x^3-x=3x^2+1	$x^{3} - x = 3 x^{2} + 1$
219592	Simplify	((x-1)/(x+1))÷((x^2-2x+1)/(x^2-x-2))	$\frac{x - 1}{x + 1} \div \frac{x^{2} - 2 x + 1}{x^{2} - x - 2}$
219593	Solve by Substitution	5x+2y=9 and x+y=-3	$5 x + 2 y = 9$ and $x + y = - 3$
219594	Simplify	(mn+1)(m^2n-1)(mn^2+2)	$(m n + 1) (m^{2} n - 1) (m n^{2} + 2)$
219595	Solve by Substitution	x-6y+4=0 y=-3	$x - 6 y + 4 = 0$ $y = - 3$
219596	Simplify	x/(x-2)+5/x	$\frac{x}{x - 2} + \frac{5}{x}$
219597	Simplify	square root of 15x^2 square root of 15x	$\sqrt{15 x^{2}} \sqrt{15 x}$
219598	Evaluate	0.04(8(2)-(2)^2)	$0.04 (8 (2) - {(2)}^{2})$
219599	Simplify	8+7(2x-9)+x	$8 + 7 (2 x - 9) + x$
219600	Simplify	(2x)/(x^2+3x+2)-x/(x^2-4)	$\frac{2 x}{x^{2} + 3 x + 2} - \frac{x}{x^{2} - 4}$