Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
192101	Solve the System of Equations	2a+3b=5 b=a-5	$2 a + 3 b = 5$ $b = a - 5$
192102	Simplify	(a-2b)/(15a)+(b-a)/(20b)	$\frac{a - 2 b}{15 a} + \frac{b - a}{20 b}$
192103	Solve for d	(d-8)/5=p	$\frac{d - 8}{5} = p$
192104	Solve for a	\|-8a-3\|>11	$\| - 8 a - 3 \| > 11$
192105	Solve for c	12c+6c=36	$12 c + 6 c = 36$
192106	Determine if Parallel	y=1/3x+9 x-3y=3	$y = \frac{1}{3} x + 9$ $x - 3 y = 3$
192107	Find the Exact Value	\|5+12i\|	$\| 5 + 12 i \|$
192108	Combine Like Terms	(9x^2-8)+(9x^2+9x+3)	$(9 x^{2} - 8) + (9 x^{2} + 9 x + 3)$
192109	Factor by Grouping	a^2+ab	$a^{2} + a b$
192110	Combine Like Terms	20+10q+3q-4	$20 + 10 q + 3 q - 4$
192111	Find the Directrix	y=x^2	$y = x^{2}$
192112	Simplify	7/(x^2-10x+16)+(2x)/(x^2-13x+40)	$\frac{7}{x^{2} - 10 x + 16} + \frac{2 x}{x^{2} - 13 x + 40}$
192113	Find the Function	g(x)=7/8x-1/2	$g (x) = \frac{7}{8} x - \frac{1}{2}$
192114	Determine if Perpendicular	Y=2x+3 and y=-x-4	$Y = 2 x + 3$ and $y = - x - 4$
192115	Simplify	(w^3x^2)/(x^7w^-4)	$\frac{w^{3} x^{2}}{x^{7} w^{- 4}}$
192116	Combine Like Terms	-(3a+2)-3(5a+7)	$- (3 a + 2) - 3 (5 a + 7)$
192117	Graph	y=(1/x)^2	$y = {(\frac{1}{x})}^{2}$
192118	Find the Domain and Range	F(x)=(2x^2-3)/(x^2)	$F (x) = \frac{2 x^{2} - 3}{x^{2}}$
192119	Solve for x	log base 5 of 3-2x = log base 5 of -3x	$\log_{5} (3 - 2 x) = \log_{5} (- 3 x)$
192120	Solve for x	3sin(x)=sin(x)+1	$3 \sin (x) = \sin (x) + 1$
192121	Evaluate	12+3(-6+2(5-4(3-2)+5(7-8))-5)	$12 + 3 (- 6 + 2 (5 - 4 (3 - 2) + 5 (7 - 8)) - 5)$
192122	Solve the System of Equations	y=5 y=2x^2-16x+29	$y = 5$ $y = 2 x^{2} - 16 x + 29$
192123	Factor	P(x)=x^4+81x^2	$P (x) = x^{4} + 81 x^{2}$
192124	Solve for x	2x+y=z	$2 x + y = z$
192125	Solve for x	5+y+(3x-7)i=9-3i	$5 + y + (3 x - 7) i = 9 - 3 i$
192126	Solve the Inequality for θ	sin(theta)<0	$\sin (θ) < 0$
192127	Solve for x	2+(9-x)/4=10	$2 + \frac{9 - x}{4} = 10$
192128	Solve for n	7(2n+11)=4n	$7 (2 n + 11) = 4 n$
192129	Evaluate	(x+2)/3=(2x-4)/2	$\frac{x + 2}{3} = \frac{2 x - 4}{2}$
192130	Divide	(-36x^3y^2-24x^2y^3)/(12x^2y^2)	$\frac{- 36 x^{3} y^{2} - 24 x^{2} y^{3}}{12 x^{2} y^{2}}$
192131	Find All Complex Solutions	3-3sin(theta)=6cos(theta)^2	$3 - 3 \sin (θ) = 6 \cos^{2} (θ)$
192132	Factor	y=-3x^3-9x^2+120x	$y = - 3 x^{3} - 9 x^{2} + 120 x$
192133	Solve Over the Interval	0 degrees <theta<90 degrees , sin(theta)=2/3	$0 ° < θ < 90 °$ , $\sin (θ) = \frac{2}{3}$
192134	Find the End Behavior	f(x)=763x^2-7x^5-9800+413x^3-7x^4-4970x	$f (x) = 763 x^{2} - 7 x^{5} - 9800 + 413 x^{3} - 7 x^{4} - 4970 x$
192135	Convert to a Decimal	1 point	$1$ point
192136	Find the End Behavior	f(x)=-(x-4)^2(x-5)^2(x+1)	$f (x) = - {(x - 4)}^{2} {(x - 5)}^{2} (x + 1)$
192137	Find the First Term	A_n=5n	$A_{n} = 5 n$
192138	Solve for b	1(-4.94b-19.24)=-4b-28.64	$1 (- 4.94 b - 19.24) = - 4 b - 28.64$
192139	Solve Using the Quadratic Formula	y=x^2-9	$y = x^{2} - 9$
192140	Subtract	3 1/2-1 1/2	$3 \frac{1}{2} - 1 \frac{1}{2}$
192141	Divide	3x^2-11x-4 by x-4	$3 x^{2} - 11 x - 4$ by $x - 4$
192142	Combine Like Terms	(9x+5)+(-2x^2+10x)	$(9 x + 5) + (- 2 x^{2} + 10 x)$
192143	Solve for h	35h+25=40h	$35 h + 25 = 40 h$
192144	Simplify	1/(2^-2*2^-3-4^5)	$\frac{1}{2^{- 2} \cdot 2^{- 3} - 4^{5}}$
192145	Convert to a Simplified Fraction	0.222...	$0.222 \dots$
192146	Factor	R(x)=5/(x^2-36)	$R (x) = \frac{5}{x^{2} - 36}$
192147	Solve for x	(10^x)/(10^-2)=10^9	$\frac{10^{x}}{10^{- 2}} = 10^{9}$
192148	Simplify	((x^2-3x-28)/(6x))÷((2x-14)/2)	$\frac{x^{2} - 3 x - 28}{6 x} \div \frac{2 x - 14}{2}$
192149	Simplify	-2 square root of 6x^4*2 square root of 3x^3	$- 2 \sqrt{6 x^{4}} \cdot 2 \sqrt{3 x^{3}}$
192150	Graph	x+y>=0 x-y>=5	$x + y \geq 0$ $x - y \geq 5$
192151	Find the Quotient	(3x^4-x^2)/(x^3-x^2+2)	$\frac{3 x^{4} - x^{2}}{x^{3} - x^{2} + 2}$
192152	Divide Using Synthetic Division	(2x^3-18x-45+5x^2)÷(x+5)	$(2 x^{3} - 18 x - 45 + 5 x^{2}) \div (x + 5)$
192153	Solve by Addition/Elimination	3x+2y=4 and 5x-2y=12	$3 x + 2 y = 4$ and $5 x - 2 y = 12$
192154	Solve the System of Equations	-3x+y=-9 3x-y=9	$- 3 x + y = - 9$ $3 x - y = 9$
192155	Simplify	(4i)/(7+i)	$\frac{4 i}{7 + i}$
192156	Simplify	((7x-14)/(x^2-3x-4)*(x^2-16)/(2x^2-3x-2))÷((x+4)/(4x^2-1))	$\frac{7 x - 14}{x^{2} - 3 x - 4} \cdot \frac{x^{2} - 16}{2 x^{2} - 3 x - 2} \div \frac{x + 4}{4 x^{2} - 1}$
192157	Factor	1/16x^2+1/3x+4/9	$\frac{1}{16} x^{2} + \frac{1}{3} x + \frac{4}{9}$
192158	Find the Exact Value	2^64	$2^{64}$
192159	Simplify the Radical Expression	(5^(3/4))^(2/3)	${(5^{\frac{3}{4}})}^{\frac{2}{3}}$
192160	Find the Exact Value	(sec(30 degrees ))(cos(30 degrees ))-(tan(60 degrees ))cot(60 degrees )	$(\sec (30 °)) (\cos (30 °)) - (\tan (60 °)) \cot (60 °)$
192161	Find the Degree, Leading Term, and Leading Coefficient	-7x^2+3x^3-1/2	$- 7 x^{2} + 3 x^{3} - \frac{1}{2}$
192162	Solve the System of Equations	x^2+y^2=36 x+y=6	$x^{2} + y^{2} = 36$ $x + y = 6$
192163	Find the LCM	3 and 7	$3$ and $7$
192164	Graph Using a Table of Values	q(x)=(0.25)^x	$q (x) = {(0.25)}^{x}$
192165	Convert to Interval Notation	x<0 or x>7	$x < 0$ or $x > 7$
192166	Simplify the Radical Expression	x^3 square root of x^9	$x^{3} \sqrt{x^{9}}$
192167	Simplify	x/(5x)+7/(10x)	$\frac{x}{5 x} + \frac{7}{10 x}$
192168	Graph	28-7x<=-4(-7x-7)	$28 - 7 x \leq - 4 (- 7 x - 7)$
192169	Simplify	(1,9)+(8,-2)-(5,-4)	$(1, 9) + (8, - 2) - (5, - 4)$
192170	Subtract	(-2x^2-4x)-(-7x^2+1)	$(- 2 x^{2} - 4 x) - (- 7 x^{2} + 1)$
192171	Solve for v	11-(2v+3)=-2v-8	$11 - (2 v + 3) = - 2 v - 8$
192172	Evaluate	3(4)^1	$3 {(4)}^{1}$
192173	Solve for v	5v^2-27v+4=-6	$5 v^{2} - 27 v + 4 = - 6$
192174	Simplify	((a^-7)/(a^-8))^-6	${(\frac{a^{- 7}}{a^{- 8}})}^{- 6}$
192175	Solve the Rational Equation for x	(7x+12)/(4x+3)=2/5	$\frac{7 x + 12}{4 x + 3} = \frac{2}{5}$
192176	Write the Fraction in Simplest Form	-2/3a+5/6a-1/6	$- \frac{2}{3} a + \frac{5}{6} a - \frac{1}{6}$
192177	Graph	1/2(x+2)(x+1)^2(x-1)	$\frac{1}{2} (x + 2) {(x + 1)}^{2} (x - 1)$
192178	Find the Exact Value	cos(30 degrees )+sin(60 degrees )	$\cos (30 °) + \sin (60 °)$
192179	Solve for v	5(v+3)-10v>-10	$5 (v + 3) - 10 v > - 10$
192180	Simplify	square root of 16	square root of $16$
192181	Solve for x	ax=bx+c	$a x = b x + c$
192182	Solve for x	1/(x+5)+x/(x-5)=(2x+7)/(x^2-25)	$\frac{1}{x + 5} + \frac{x}{x - 5} = \frac{2 x + 7}{x^{2} - 25}$
192183	Solve the Inequality for x	2x<=2(x-1)	$2 x \leq 2 (x - 1)$
192184	Solve for x	\|x-2\|=\|3-2x\|	$\| x - 2 \| = \| 3 - 2 x \|$
192185	Find the x and y Intercepts	f(x)=-(x^2+x-30)	$f (x) = - (x^{2} + x - 30)$
192186	Solve for n	-3/4(8n+12)=3(n-3)	$- \frac{3}{4} (8 n + 12) = 3 (n - 3)$
192187	Simplify	fourth root of 81/16a^8b^12c^16	$\sqrt[4]{\frac{81}{16} a^{8} b^{12} c^{16}}$
192188	Solve by Completing the Square	4w(w-3)=24	$4 w (w - 3) = 24$
192189	Simplify	(4ab^2+5xy^3)^2	${(4 a b^{2} + 5 x y^{3})}^{2}$
192190	Simplify	((xy+xz)/(xz-z^2)*(xy-yz)/(xz+yz))÷((y^2+yz)/(x^2+xy))	$\frac{x y + x z}{x z - z^{2}} \cdot \frac{x y - y z}{x z + y z} \div \frac{y^{2} + y z}{x^{2} + x y}$
192191	Graph	y=x^3-x+1	$y = x^{3} - x + 1$
192192	Graph	y<=-2/3x+6 and y>2x+3	$y \leq - \frac{2}{3} x + 6$ and $y > 2 x + 3$
192193	Solve for v	4/(v-1)=8/6	$\frac{4}{v - 1} = \frac{8}{6}$
192194	Simplify	(a^2b^-4c^3d^-2)/(a^-3b^2c^-4d^-4)	$\frac{a^{2} b^{- 4} c^{3} d^{- 2}}{a^{- 3} b^{2} c^{- 4} d^{- 4}}$
192195	Solve for x	(12-x)/2+3=1	$\frac{12 - x}{2} + 3 = 1$
192196	Write in Standard Form	x^2=-4y	$x^{2} = - 4 y$
192197	Simplify	(7x^2-11+16x)+(5x-3x^2-7)	$(7 x^{2} - 11 + 16 x) + (5 x - 3 x^{2} - 7)$
192198	Factor	x^6y^4(x^4-16)-9(x^4-16)	$x^{6} y^{4} (x^{4} - 16) - 9 (x^{4} - 16)$
192199	Find the Equation Using Point-Slope Formula	(2,3) and (7,4)	$(2, 3)$ and $(7, 4)$
192200	Multiply	cube root of 64	$\sqrt[3]{64}$