Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
15301	Solve by Completing the Square	x^2+10x=3	$x^{2} + 10 x = 3$
15302	Solve for x	x^4-34x^2+225=0	$x^{4} - 34 x^{2} + 225 = 0$
15303	Solve by Completing the Square	x^2-18x=29	$x^{2} - 18 x = 29$
15304	Solve for x	log base 4 of (x-6)^3=6	$\log_{4} ({(x - 6)}^{3}) = 6$
15305	Solve by Completing the Square	x^2-2x-31=-7	$x^{2} - 2 x - 31 = - 7$
15306	Convert from Interval to Inequality	[4,infinity)	$[4, \infty)$
15307	Solve for x	1/4-x=x/8	$\frac{1}{4} - x = \frac{x}{8}$
15308	Find the Constant of Variation	5y=2x	$5 y = 2 x$
15309	Solve for x	16^(3x-6)=64^(x+4)	$16^{3 x - 6} = 64^{x + 4}$
15310	Identify the Conic	3x^2-6y^2=6	$3 x^{2} - 6 y^{2} = 6$
15311	Solve for x	16^(3x-6)=64^(x+2)	$16^{3 x - 6} = 64^{x + 2}$
15312	Solve for x	25^x*5^(x^2)=625^2	$25^{x} \cdot 5^{x^{2}} = 625^{2}$
15313	Find the Axis of Symmetry	y=x^2-10x-5	$y = x^{2} - 10 x - 5$
15314	Solve for d	x=c/d	$x = \frac{c}{d}$
15315	Find the Axis of Symmetry	y=x^2-6x-4	$y = x^{2} - 6 x - 4$
15316	Solve for d	3d+8=2d-17	$3 d + 8 = 2 d - 17$
15317	Find the Axis of Symmetry	y=-4x^2-24x-31	$y = - 4 x^{2} - 24 x - 31$
15318	Solve for b	14b=-56	$14 b = - 56$
15319	Reduce	(3m^2-3n^2)/(6m-6n)	$\frac{3 m^{2} - 3 n^{2}}{6 m - 6 n}$
15320	Solve for p	p^4-16=0	$p^{4} - 16 = 0$
15321	Convert to a Percentage	0.001	$0.001$
15322	Determine if Rational	square root of 12.1	$\sqrt{12.1}$
15323	Solve for x	\|x-1\|+5=2	$\| x - 1 \| + 5 = 2$
15324	Complete the Square	x^2+4x=23	$x^{2} + 4 x = 23$
15325	Solve for x	log base 49 of x=1/2	$\log_{49} (x) = \frac{1}{2}$
15326	Find the Asymptotes	f(x)=(2x+3)/(x^2+2x-3)	$f (x) = \frac{2 x + 3}{x^{2} + 2 x - 3}$
15327	Solve for x	log base 6 of x+ log base 6 of 5x-1=1	$\log_{6} (x) + \log_{6} (5 x - 1) = 1$
15328	Find the Asymptotes	f(x)=4/(x-8)-2	$f (x) = \frac{4}{x - 8} - 2$
15329	Solve for x	log base 7 of 49=x	$\log_{7} (49) = x$
15330	Find the Asymptotes	f(x)=10/(x^2-1)	$f (x) = \frac{10}{x^{2} - 1}$
15331	Solve for x	log base x of 16=-4	$\log_{x} (16) = - 4$
15332	Find the Asymptotes	f(x)=(6x-1)/(6x^2-x)	$f (x) = \frac{6 x - 1}{6 x^{2} - x}$
15333	Solve for x	32^x=4	$32^{x} = 4$
15334	Find the Degree	x^5+1-3x^4+3x^9-2x	$x^{5} + 1 - 3 x^{4} + 3 x^{9} - 2 x$
15335	Solve for x	3^(-x)=27	$3^{- x} = 27$
15336	Find the Degree	7x^7+10x^4+4x^3-5x^11-10x^6-6x^7	$7 x^{7} + 10 x^{4} + 4 x^{3} - 5 x^{11} - 10 x^{6} - 6 x^{7}$
15337	Find the Degree	4x^6-2x^3+x-3+x^3	$4 x^{6} - 2 x^{3} + x - 3 + x^{3}$
15338	Solve for x	3/10x-1/5=-2	$\frac{3}{10} x - \frac{1}{5} = - 2$
15339	Solve for x	5/6x-2x+4/3=5/3	$\frac{5}{6} x - 2 x + \frac{4}{3} = \frac{5}{3}$
15340	Divide Using Long Polynomial Division	(5x+6x^3-8)÷(x-2)	$(5 x + 6 x^{3} - 8) \div (x - 2)$
15341	Solve for x	6^x=1/36	$6^{x} = \frac{1}{36}$
15342	Divide Using Long Polynomial Division	(8m^7-10m^5)÷2m^3	$(8 m^{7} - 10 m^{5}) \div 2 m^{3}$
15343	Solve for x	12(9-3x)+2x=516	$12 (9 - 3 x) + 2 x = 516$
15344	Simplify	3x^2+5x-8+(5x^2-13x-5)	$3 x^{2} + 5 x - 8 + (5 x^{2} - 13 x - 5)$
15345	Convert to Radical Form	n^0.9	$n^{0.9}$
15346	Solve for x	x/4=8	$\frac{x}{4} = 8$
15347	Convert to Radical Form	b^(5/6)	$b^{\frac{5}{6}}$
15348	Solve for x	natural log of x=-1	$\ln (x) = - 1$
15349	Solve for x	natural log of x-4+ natural log of x+1 = natural log of x-8	$\ln (x - 4) + \ln (x + 1) = \ln (x - 8)$
15350	Solve for x	8(4x+8)=11-(x+2)	$8 (4 x + 8) = 11 - (x + 2)$
15351	Solve for x	2x+3=7	$2 x + 3 = 7$
15352	Write with Rational (Fractional) Exponents	cube root of (9n)^7	$\sqrt[3]{{(9 n)}^{7}}$
15353	Solve for x	3(2x+5)=39	$3 (2 x + 5) = 39$
15354	Solve for x	2 log of x=-1	$2 \log (x) = - 1$
15355	Expand the Trigonometric Expression	(6x+1)(1-3x)	$(6 x + 1) (1 - 3 x)$
15356	Solve for x	4x-(9-3x)=8x-1	$4 x - (9 - 3 x) = 8 x - 1$
15357	Solve for x	x-6=0	$x - 6 = 0$
15358	Find the Roots (Zeros)	(x-6)^2-5=0	${(x - 6)}^{2} - 5 = 0$
15359	Solve for x	log of x- log of 10=14	$\log (x) - \log (10) = 14$
15360	Find the Roots (Zeros)	3x^4-5x^2+25=0	$3 x^{4} - 5 x^{2} + 25 = 0$
15361	Solve for y	x=y^2	$x = y^{2}$
15362	Simplify	-3(10x+4y)+6(6x-2y)	$- 3 (10 x + 4 y) + 6 (6 x - 2 y)$
15363	Solve for y	-5y-9=-(y-1)	$- 5 y - 9 = - (y - 1)$
15364	Solve for x	2(x-5)+3x=20	$2 (x - 5) + 3 x = 20$
15365	Find the Perfect Square Trinomial	w^2-6w+	$w^{2} - 6 w +$
15366	Solve for t	A=p+Prt	$A = p + P r t$
15367	Find the Perfect Square Trinomial	v^2+8v+	$v^{2} + 8 v +$
15368	Simplify	(-4m^2n^3)(2mn)	$(- 4 m^{2} n^{3}) (2 m n)$
15369	Find the Roots (Zeros)	f(x)=9x^2-54x-19	$f (x) = 9 x^{2} - 54 x - 19$
15370	Simplify	(3x+y)(3x-y)	$(3 x + y) (3 x - y)$
15371	Simplify	(3x+7)(3x-7)	$(3 x + 7) (3 x - 7)$
15372	Find the Domain	f(x) = square root of 4x-12	$f (x) = \sqrt{4 x - 12}$
15373	Simplify	(3m-1)(8m+7)	$(3 m - 1) (8 m + 7)$
15374	Simplify	(-4+i)(-4-i)	$(- 4 + i) (- 4 - i)$
15375	Simplify	(4+i)(4-i)	$(4 + i) (4 - i)$
15376	Solve for b	5^(3b-1)=5^(b-3)	$5^{3 b - 1} = 5^{b - 3}$
15377	Solve for z	4>z<3	$4 > z < 3$
15378	Simplify	(4x-7)(4x+7)	$(4 x - 7) (4 x + 7)$
15379	Find the Domain and Range	y=\|x-6\|	$y = \| x - 6 \|$
15380	Simplify	(5x-2)(5x+2)	$(5 x - 2) (5 x + 2)$
15381	Find the Equation Using Point-Slope Formula	(4,-8) , (8,5)	$(4, - 8) (8, 5)$
15382	Simplify	(5-2i)(5+2i)	$(5 - 2 i) (5 + 2 i)$
15383	Simplify	(6+8i)(6-8i)	$(6 + 8 i) (6 - 8 i)$
15384	Find the x and y Intercepts	f(x)=(3/7)^x	$f (x) = {(\frac{3}{7})}^{x}$
15385	Simplify	(1+i)(i+2)	$(1 + i) (i + 2)$
15386	Simplify	(a^3-2a^2)-(3a^2-4a^3)	$(a^{3} - 2 a^{2}) - (3 a^{2} - 4 a^{3})$
15387	Find the x and y Intercepts	f(x)=-4x^2-6x+1	$f (x) = - 4 x^{2} - 6 x + 1$
15388	Find the x and y Intercepts	f(x)=4x^2-16	$f (x) = 4 x^{2} - 16$
15389	Solve for y	6(y+7)=3y	$6 (y + 7) = 3 y$
15390	Solve by Factoring	x^3-16x=0	$x^{3} - 16 x = 0$
15391	Solve for x	x^2=169	$x^{2} = 169$
15392	Solve for x	x^2+x-12=0	$x^{2} + x - 12 = 0$
15393	Solve for x	x^2-10x+25=0	$x^{2} - 10 x + 25 = 0$
15394	Find the Slope and y-intercept	y=-7x-8	$y = - 7 x - 8$
15395	Factor	6x^3y-9x^2y^2+3x^2y	$6 x^{3} y - 9 x^{2} y^{2} + 3 x^{2} y$
15396	Find the Slope and y-intercept	y=-4x-7	$y = - 4 x - 7$
15397	Simplify	((2mn)^4)/(6m^-3n^-2)	$\frac{{(2 m n)}^{4}}{6 m^{- 3} n^{- 2}}$
15398	Find the Slope and y-intercept	2x+6y=6	$2 x + 6 y = 6$
15399	Find the Slope and y-intercept	7x-4y=-12	$7 x - 4 y = - 12$
15400	Simplify	(y^5)^2	${(y^{5})}^{2}$