Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
193201	Evaluate the Difference Quotient	f(x)=x^3 , (f(a+h)-f(a))/h	$f (x) = x^{3}$ , $\frac{f (a + h) - f (a)}{h}$
193202	Find the Equation Using Slope-Intercept Form	m=5 and (6,-1)	$m = 5$ and $(6, - 1)$
193203	Factor	4ax+ay+12x^2+3xy	$4 a x + a y + 12 x^{2} + 3 x y$
193204	Solve for x	3.2/100x=8	$\frac{3.2}{100} x = 8$
193205	Solve the Absolute Value Inequality for n	2-5\|10-2n\|>=-28	$2 - 5 \| 10 - 2 n \| \geq - 28$
193206	Find the Quotient	(x^3-3x^2+5x-3)÷(x-1) ?	$(x^{3} - 3 x^{2} + 5 x - 3) \div (x - 1)$ ?
193207	Solve the Inequality for x	1/(x-3)<=9/(4x+3)	$\frac{1}{x - 3} \leq \frac{9}{4 x + 3}$
193208	Solve for x	1/3(x+6)=1/2(x-3)	$\frac{1}{3} (x + 6) = \frac{1}{2} (x - 3)$
193209	Solve for x	3^(1-x)-3^x=2	$3^{1 - x} - 3^{x} = 2$
193210	Simplify	13p-3p(1-2m)-m(2m-5p)-m^2	$13 p - 3 p (1 - 2 m) - m (2 m - 5 p) - m^{2}$
193211	Solve for n	8(-6n+18)-29=-88n+75	$8 (- 6 n + 18) - 29 = - 88 n + 75$
193212	Solve for v	v/-6+2=-1	$\frac{v}{- 6} + 2 = - 1$
193213	Combine Like Terms	(5x^2+8x)+(x^2-5x+1)	$(5 x^{2} + 8 x) + (x^{2} - 5 x + 1)$
193214	Find the LCD	5/(6x) and 7/(9x+18)	$\frac{5}{6 x}$ and $\frac{7}{9 x + 18}$
193215	Simplify	(3/(3b)-1/(2b))/(2/(3b)+4/(4b))	$\frac{\frac{3}{3 b} - \frac{1}{2 b}}{\frac{2}{3 b} + \frac{4}{4 b}}$
193216	Solve for x	-7=8-50+x	$- 7 = 8 - 50 + x$
193217	Combine Like Terms	5(-2k-3)+2k	$5 (- 2 k - 3) + 2 k$
193218	Evaluate	3*((6^12)/(6^10))	$3 \cdot (\frac{6^{12}}{6^{10}})$
193219	Solve for b	-8(2b+8)+7=-137	$- 8 (2 b + 8) + 7 = - 137$
193220	Multiply	3(1/4)	$3 (\frac{1}{4})$
193221	Solve for g	3e+4g=7+9eg	$3 e + 4 g = 7 + 9 e g$
193222	Find the Excluded Values	(x-3)/(x^2+2x-15)	$\frac{x - 3}{x^{2} + 2 x - 15}$
193223	Simplify	(1-cos(x)^2)	$(1 - \cos^{2} (x))$
193224	Multiply	(27y)/(y^2-1)*(y^2+y)/(36y^2)	$\frac{27 y}{y^{2} - 1} \cdot \frac{y^{2} + y}{36 y^{2}}$
193225	Find the Inverse	v=4/3pir^3	$v = \frac{4}{3} π r^{3}$
193226	Find the Exact Value	10+10	$10 + 10$
193227	Simplify	((8s^3t^3)^(2/3))/((s^4t^-8)^(1/4))	$\frac{{(8 s^{3} t^{3})}^{\frac{2}{3}}}{{(s^{4} t^{- 8})}^{\frac{1}{4}}}$
193228	Evaluate	2(2/5)^-1	$2 {(\frac{2}{5})}^{- 1}$
193229	Graph	25=\|y\|+x^2	$25 = \| y \| + x^{2}$
193230	Find the Roots (Zeros)	y=1/x	$y = \frac{1}{x}$
193231	Simplify	(x^(1/2))/(x^(3/2))	$\frac{x^{\frac{1}{2}}}{x^{\frac{3}{2}}}$
193232	Solve the Inequality for x	\|x\|+5>=11	$\| x \| + 5 \geq 11$
193233	Simplify	((x^3-x)/(2x^2+6x))÷((5x^2-5x)/(2x+6))	$\frac{x^{3} - x}{2 x^{2} + 6 x} \div \frac{5 x^{2} - 5 x}{2 x + 6}$
193234	Graph	y^3	$y^{3}$
193235	Solve for t	80=100-30*e^(-0.04t)	$80 = 100 - 30 \cdot e^{- 0.04 t}$
193236	Solve for x	(2x-1)/3+(2x+5)/21=x+3	$\frac{2 x - 1}{3} + \frac{2 x + 5}{21} = x + 3$
193237	Simplify	(3+x-x^2)-(-4x^2+2x+1)	$(3 + x - x^{2}) - (- 4 x^{2} + 2 x + 1)$
193238	Solve for x	1=-1-5/4(4x+4/5)+2x	$1 = - 1 - \frac{5}{4} (4 x + \frac{4}{5}) + 2 x$
193239	Graph	y=1/4x+5 y=-x-5	$y = \frac{1}{4} x + 5$ $y = - x - 5$
193240	Simplify	(49x^2y)^(1/2)(27x^6y^(3/2))^(1/3)	${(49 x^{2} y)}^{\frac{1}{2}} {(27 x^{6} y^{\frac{3}{2}})}^{\frac{1}{3}}$
193241	Simplify	square root of 1-x^4	$\sqrt{1 - x^{4}}$
193242	Multiply	-1/2*2/3	$- \frac{1}{2} \cdot \frac{2}{3}$
193243	Factor	R(x)=7/(x^2-36)	$R (x) = \frac{7}{x^{2} - 36}$
193244	Solve the Inequality for x	(x^2+6x+8)/(x-2)<=0	$\frac{x^{2} + 6 x + 8}{x - 2} \leq 0$
193245	Simplify	limit as h approaches 0 of ((x+h)^3-x^3)/h	$lim_{h \to 0} \frac{{(x + h)}^{3} - x^{3}}{h}$
193246	Solve for x	x/(x-2)=4/(x+1)+(3x)/(x^2-x-2)	$\frac{x}{x - 2} = \frac{4}{x + 1} + \frac{3 x}{x^{2} - x - 2}$
193247	Find the Holes in the Graph	f(x)=x/(x^2-4)	$f (x) = \frac{x}{x^{2} - 4}$
193248	Evaluate	(2^2)	$(2^{2})$
193249	Solve for v	4v-3=\|2v+9\|	$4 v - 3 = \| 2 v + 9 \|$
193250	Solve for x	(3x-9)/40-(x+3)/8=-1	$\frac{3 x - 9}{40} - \frac{x + 3}{8} = - 1$
193251	Simplify	-1^6	$- 1^{6}$
193252	Solve the Inequality for y	\|y\|>=4.5	$\| y \| \geq 4.5$
193253	Graph	x-2y<=4 x+y<=5 x>=0 y>=0	$x - 2 y \leq 4$ $x + y \leq 5$ $x \geq 0$ $y \geq 0$
193254	Factor	9ac^7+4b^8c^4+2ac^5	$9 a c^{7} + 4 b^{8} c^{4} + 2 a c^{5}$
193255	Solve for x	1+7/(x-3)=2/(x^2-9)	$1 + \frac{7}{x - 3} = \frac{2}{x^{2} - 9}$
193256	Simplify	(3x^4+2x^2-7)-(2x^4-x^3+4x^2)	$(3 x^{4} + 2 x^{2} - 7) - (2 x^{4} - x^{3} + 4 x^{2})$
193257	Simplify	(5x+5-2x)(4+7x-1)	$(5 x + 5 - 2 x) (4 + 7 x - 1)$
193258	Describe the Transformation	y=f(x)-4	$y = f (x) - 4$
193259	Solve for a	-6a+33<=9	$- 6 a + 33 \leq 9$
193260	Solve for p	8=8p+13-3p	$8 = 8 p + 13 - 3 p$
193261	Find All Complex Solutions	sec(x)-1=0	$\sec (x) - 1 = 0$
193262	Solve for x	(x+5)/4=(2x+1)/2	$\frac{x + 5}{4} = \frac{2 x + 1}{2}$
193263	Solve for x	\|72+3x\|=9x	$\| 72 + 3 x \| = 9 x$
193264	Simplify	(3/4x+2)^2	${(\frac{3}{4} x + 2)}^{2}$
193265	Solve for x	(6x)/(x+4)=(x-1)	$\frac{6 x}{x + 4} = (x - 1)$
193266	Find the End Behavior	f(x)=72+24x-6x^2	$f (x) = 72 + 24 x - 6 x^{2}$
193267	Solve the Absolute Value Inequality for x	\|x+4\|+3=17	$\| x + 4 \| + 3 = 17$
193268	Graph	8g-5g-4<=-3+3g	$8 g - 5 g - 4 \leq - 3 + 3 g$
193269	Solve the Inequality for x	3-5(2x+1)<=10	$3 - 5 (2 x + 1) \leq 10$
193270	Simplify	1/(1+a^(x-y))+1/(1+a^(y-x))	$\frac{1}{1 + a^{x - y}} + \frac{1}{1 + a^{y - x}}$
193271	Write in Standard Form	y^2+y+5=0	$y^{2} + y + 5 = 0$
193272	Simplify	1/5 square root of 5n^3* square root of 20n^5	$\frac{1}{5} \sqrt{5 n^{3}} \cdot \sqrt{20 n^{5}}$
193273	Solve for a	(x^2y^3)^(1/2)(x^2y^3)^(1/3)=x^(a/3)y^(a/2)	${(x^{2} y^{3})}^{\frac{1}{2}} {(x^{2} y^{3})}^{\frac{1}{3}} = x^{\frac{a}{3}} y^{\frac{a}{2}}$
193274	Combine Like Terms	(5x^2-9)+(-10x+7)	$(5 x^{2} - 9) + (- 10 x + 7)$
193275	Simplify	square root of 128x^1*5	$\sqrt{128 x^{1} \cdot 5}$
193276	Find the Excluded Values	(x^2-x-12)/(x^2-16)*(x^2+2x-8)	$\frac{x^{2} - x - 12}{x^{2} - 16} \cdot (x^{2} + 2 x - 8)$
193277	Solve the Absolute Value Inequality for k	\|1-4k\|>=-11	$\| 1 - 4 k \| \geq - 11$
193278	Solve the Inequality for x	x^2>2x	$x^{2} > 2 x$
193279	Solve for k	1 7/15=-11/28k	$1 \frac{7}{15} = - \frac{11}{28} k$
193280	Graph	20y<=24x	$20 y \leq 24 x$
193281	Find the Exact Value	(16/81)^(3/4)	${(\frac{16}{81})}^{\frac{3}{4}}$
193282	Find the End Behavior	f(x)=14x^2-896-7x^3+448x	$f (x) = 14 x^{2} - 896 - 7 x^{3} + 448 x$
193283	Find the End Behavior	f(x)=-44x^3-2646-8x^4+315x+x^5+366x^2	$f (x) = - 44 x^{3} - 2646 - 8 x^{4} + 315 x + x^{5} + 366 x^{2}$
193284	Find the Degree	arcsin(3/5)	$\arcsin (\frac{3}{5})$
193285	Simplify	(-6x^4-5x^3+x^2)+(4x^2+6x^4-4x^3)	$(- 6 x^{4} - 5 x^{3} + x^{2}) + (4 x^{2} + 6 x^{4} - 4 x^{3})$
193286	Complete the Square	3+x-x^2	$3 + x - x^{2}$
193287	Solve for m	y=mx+6	$y = m x + 6$
193288	Solve by Substitution	5x-y/2=-1 3x-2y=1	$5 x - \frac{y}{2} = - 1$ $3 x - 2 y = 1$
193289	Graph	g(f(2))	$g (f (2))$
193290	Evaluate	(xy)^0	${(x y)}^{0}$
193291	Evaluate	3(6)-(4\|-6\|)÷8+\|-8\|	$3 (6) - 4 \| - 6 \| \div 8 + \| - 8 \|$
193292	Simplify	3^-4+3^-1	$3^{- 4} + 3^{- 1}$
193293	Graph	y<-x-1 y>=x+4	$y < - x - 1$ $y \geq x + 4$
193294	Solve for x	log base 3 of x = log base 2 of x-1	$\log_{3} (x) = \log_{2} (x - 1)$
193295	Evaluate	x^4-5x^2+4=0	$x^{4} - 5 x^{2} + 4 = 0$
193296	Find the Exact Value	arcsin(-1/( square root of 2))	$\arcsin (\frac{- 1}{\sqrt{2}})$
193297	Solve for x	-10=-0.8x+1.8(-4x+1)-7	$- 10 = - 0.8 x + 1.8 (- 4 x + 1) - 7$
193298	Find the Remainder	(25x^5-5x^4+14x^3+8x^2+4)/(5x^2+2x-1)	$\frac{25 x^{5} - 5 x^{4} + 14 x^{3} + 8 x^{2} + 4}{5 x^{2} + 2 x - 1}$
193299	Solve for r	-r/4=1/7	$- \frac{r}{4} = \frac{1}{7}$
193300	Simplify	2 square root of 8x^2-5x square root of 32+5 square root of 18x^2	$2 \sqrt{8 x^{2}} - 5 x \sqrt{32} + 5 \sqrt{18 x^{2}}$