2*(n + 3)*(n + 6)/8
Determine j so that -j**4 + 11*j**3/3 - 2*j**2 = 0.
0, 2/3, 3
Determine k, given that -56*k**5 - 166*k**4 + 1578*k**3 - 44*k**2 - 112*k = 0.
-7, -1/4, 0, 2/7, 4
Factor -2*s**5/9 - 44*s**4/9 - 52*s**3/3 - 224*s**2/9 - 146*s/9 - 4.
-2*(s + 1)**4*(s + 18)/9
Solve 4*j**3/5 + 100*j**2 - 1552*j/5 - 2048/5 = 0.
-128, -1, 4
Determine h, given that -4*h**2 - 2112*h - 4208 = 0.
-526, -2
Let 4*g**2 + 120*g + 116 = 0. Calculate g.
-29, -1
Factor 2*b**5 + 32*b**4 + 56*b**3.
2*b**3*(b + 2)*(b + 14)
Find i, given that -2*i**2/7 + 32*i/7 - 110/7 = 0.
5, 11
Determine h, given that -6*h**5 - 110*h**4 - 716*h**3 - 1872*h**2 - 1088*h + 1792 = 0.
-7, -4, 2/3
Factor -2*y**4/7 - 2*y**3/7 + 6*y**2/7 + 10*y/7 + 4/7.
-2*(y - 2)*(y + 1)**3/7
Find h, given that -h**4/6 - 11*h**3/6 - 13*h**2/2 - 49*h/6 - 10/3 = 0.
-5, -4, -1
Determine w so that -w**2/2 - 21*w/2 - 40 = 0.
-16, -5
Solve -10*z**4 + 36*z**3 + 6*z**2 - 64*z - 24 = 0 for z.
-1, -2/5, 2, 3
Factor o**4/12 - 9*o**3/4 - 185*o**2/4 - 3025*o/12 - 875/2.
(o - 42)*(o + 5)**3/12
Find m, given that 3*m**2 + 240*m + 237 = 0.
-79, -1
Suppose 742586*n**5/21 - 1428050*n**4/21 + 1098500*n**3/21 - 422500*n**2/21 + 81250*n/21 - 6250/21 = 0. Calculate n.
5/13
Factor -c**4/4 + 4*c**3 + 73*c**2/2 + 84*c + 207/4.
-(c - 23)*(c + 1)*(c + 3)**2/4
Let 2*w**4 - 390*w**3 + 25350*w**2 - 549250*w = 0. Calculate w.
0, 65
Factor 9*o**3/2 - 8403*o**2/2 - 5608*o - 1870.
(o - 935)*(3*o + 2)**2/2
Determine z, given that 6*z**5/5 + 58*z**4 + 372*z**3/5 - 196*z**2/5 - 378*z/5 - 94/5 = 0.
-47, -1, -1/3, 1
Factor c**3/2 - 17*c**2/2 + 15*c.
c*(c - 15)*(c - 2)/2
Find f, given that 12*f**4/5 + 2*f**3 - 46*f**2/5 - 44*f/5 = 0.
-11/6, -1, 0, 2
Factor -v**2/7 + 22*v/7 - 121/7.
-(v - 11)**2/7
Find p such that -3*p**3 - 6*p**2 + 837*p - 4860 = 0.
-20, 9
Factor -2*z**2/5 - 1222*z/5.
-2*z*(z + 611)/5
Let 12*q**5/7 - 375*q**4/7 + 1137*q**3/7 - 183*q**2 + 591*q/7 - 12 = 0. What is q?
1/4, 1, 28
Factor -34*v**4 - 98*v**3/3 + 4*v**2/3.
-2*v**2*(v + 1)*(51*v - 2)/3
Find m, given that 3*m**3 - 780*m**2 + 49911*m + 102966 = 0.
-2, 131
Find q, given that -147*q**5 + 651*q**4 + 1290*q**3 + 564*q**2 + 72*q = 0.
-1, -2/7, 0, 6
Determine m so that -3*m**2/8 - 363*m/8 - 45 = 0.
-120, -1
Factor -2*q**4/3 + 28*q**3/3 - 22*q**2 - 224*q/3 - 128/3.
-2*(q - 8)**2*(q + 1)**2/3
Determine g, given that -3*g**3 - 1089*g**2 - 2169*g - 1083 = 0.
-361, -1
Determine a, given that a**3/4 + a**2 + 3*a/4 = 0.
-3, -1, 0
Find n, given that 3*n**5 + 1893*n**4/8 + 38139*n**3/8 + 31707*n**2/8 - 4563*n/8 = 0.
-39, -1, 0, 1/8
Factor -3*b**2 + 51*b + 54.
-3*(b - 18)*(b + 1)
Suppose -5*a**5 - 15*a**4 + 80*a**3 + 260*a**2 - 320 = 0. Calculate a.
-4, -2, 1, 4
Solve -4*j**3 - 72*j**2 - 176*j + 672 = 0.
-14, -6, 2
Factor l**3 + 8*l**2 + 9*l - 18.
(l - 1)*(l + 3)*(l + 6)
Factor -28826161*c**4/4 + 4155606*c**3 - 609814*c**2 + 3096*c - 4.
-(7*c - 2)**2*(767*c - 2)**2/4
Solve v**3/6 + 44*v**2/3 = 0.
-88, 0
Let 68*p**2/5 - 172*p/5 - 168 = 0. What is p?
-42/17, 5
What is x in 3*x**2 - 75*x + 378 = 0?
7, 18
Suppose 16*s**3/3 + 28*s**2/3 - 8*s/3 = 0. What is s?
-2, 0, 1/4
Determine r so that 2*r**2/7 + 10*r - 72/7 = 0.
-36, 1
Suppose -2*n**5/13 + 2*n**4/13 + 48*n**3/13 + 8*n**2/13 - 320*n/13 - 384/13 = 0. What is n?
-3, -2, 4
Let 5*t**4 - 75*t**3 + 50*t**2 + 300*t - 280 = 0. What is t?
-2, 1, 2, 14
Factor -2*h**5 + 10*h**4 + 60*h**3 + 100*h**2 + 70*h + 18.
-2*(h - 9)*(h + 1)**4
Find q, given that -8450*q**3 + 13715*q**2/4 - 199*q/2 + 3/4 = 0.
1/65, 3/8
Suppose -f**5/4 + 17*f**4 - 334*f**3 + 2971*f**2/2 - 2263*f/4 - 4805/2 = 0. What is f?
-1, 2, 5, 31
Solve 5*o**5 + 855*o**4 + 34360*o**3 - 186580*o**2 + 306240*o - 154880 = 0 for o.
-88, 1, 2
Factor -2*v**3/9 + 10*v**2/3 + 2*v/9 - 10/3.
-2*(v - 15)*(v - 1)*(v + 1)/9
Solve 2*y**3/7 - 8*y**2/7 - 10*y/7 = 0 for y.
-1, 0, 5
Factor -w**2/2 - 3213*w - 10323369/2.
-(w + 3213)**2/2
Find k, given that 20*k**5 - 396*k**4 - 1480*k**3 + 120*k**2 + 1460*k + 276 = 0.
-3, -1, -1/5, 1, 23
Factor -z**3/4 + 557*z**2/4 - 1111*z/4 + 555/4.
-(z - 555)*(z - 1)**2/4
Let -4*f**4/3 + f**3/6 + 28*f**2/3 + 41*f/6 - 1 = 0. Calculate f.
-2, -1, 1/8, 3
Solve 5*x**3 - 40*x**2 + 55*x + 100 = 0.
-1, 4, 5
Factor 4*j**3/3 - 37*j**2/3 + 104*j/3 - 80/3.
(j - 4)**2*(4*j - 5)/3
Factor -6845*x**5 - 314130*x**4 - 3586985*x**3 + 390540*x**2 - 10580*x.
-5*x*(x + 23)**2*(37*x - 2)**2
Factor 12*d**2/7 - 68*d/7 + 96/7.
4*(d - 3)*(3*d - 8)/7
Factor d**3 - 118*d**2 + 3233*d + 14884.
(d - 61)**2*(d + 4)
Suppose 15*a**4 + 1443*a**3 + 34848*a**2 + 6912*a = 0. What is a?
-48, -1/5, 0
Factor -2*x**2/5 + 8*x/5 - 6/5.
-2*(x - 3)*(x - 1)/5
Factor -36*h**3 - 1252*h**2 - 944*h + 272.
-4*(h + 1)*(h + 34)*(9*h - 2)
Solve 4*o**2 - 144*o + 1040 = 0.
10, 26
Factor l**2/4 - 5*l - 1925/4.
(l - 55)*(l + 35)/4
Factor 2*u**3 - 40*u**2.
2*u**2*(u - 20)
Factor 3*r**4 + 69*r**3 + 342*r**2 + 636*r + 408.
3*(r + 2)**3*(r + 17)
Suppose 3*t**4/5 - 1080*t**3 - 9*t**2/5 + 16194*t/5 + 2160 = 0. Calculate t.
-1, 2, 1800
Suppose -4*m**2 + 724*m - 720 = 0. What is m?
1, 180
Factor 10*p**4/3 + 15*p**3 + 20*p**2 + 20*p/3.
5*p*(p + 2)**2*(2*p + 1)/3
Factor i**2/2 + 1543*i/2 + 771.
(i + 1)*(i + 1542)/2
Factor -3*x**5 - 9*x**4 + 12*x**2.
-3*x**2*(x - 1)*(x + 2)**2
Find i, given that i**2/6 + 289*i/6 + 48 = 0.
-288, -1
Determine n, given that -3*n**5 + 48*n**4 + 522*n**3 + 1248*n**2 + 1137*n + 360 = 0.
-5, -1, 24
Suppose 3*q**3/4 - 297*q**2/4 - 75*q = 0. Calculate q.
-1, 0, 100
Solve m**5/3 - 2*m**4 - 34*m**3/3 + 16*m**2 + 51*m - 54 = 0.
-3, 1, 2, 9
Determine q so that -q**5/7 + q**4/7 + 12*q**3/7 + 4*q**2/7 - 16*q/7 = 0.
-2, 0, 1, 4
Factor 2*k**3/13 + 66*k**2/13 + 184*k/13 + 120/13.
2*(k + 1)*(k + 2)*(k + 30)/13
Determine d, given that -d**2/2 - 38*d - 75/2 = 0.
-75, -1
Find q such that -4*q**3/3 - 40*q**2/3 + 284*q/3 - 80 = 0.
-15, 1, 4
Let -l**4 + 21*l**3 - 71*l**2 + 51*l = 0. Calculate l.
0, 1, 3, 17
Factor -2*n**4 + 62*n**3 - 444*n**2 - 640*n + 1024.
-2*(n - 16)**2*(n - 1)*(n + 2)
Factor -2*b**2/5 - 174*b/5 - 1264/5.
-2*(b + 8)*(b + 79)/5
Factor n**2/6 - 433*n/6 + 215.
(n - 430)*(n - 3)/6
Determine d so that -2*d**4/7 - 118*d**3/7 - 240*d**2 + 1800*d/7 = 0.
-30, 0, 1
Factor 17*i**3/4 - 8*i**2 + 13*i/4 + 1/2.
(i - 1)**2*(17*i + 2)/4
Let 2*z**3/5 + 4*z**2/5 - 62*z/5 + 56/5 = 0. Calculate z.
-7, 1, 4
Factor 2*z**2/3 - 34*z/3 + 44.
2*(z - 11)*(z - 6)/3
Let -2*m**4/5 + 4*m**3/5 + 18*m**2/5 - 4*m/5 - 16/5 = 0. Calculate m.
-2, -1, 1, 4
Let -176*x**2 + 178*x - 2 = 0. Calculate x.
1/88, 1
Factor 5*y**2 + 190*y - 400.
5*(y - 2)*(y + 40)
Determine h so that -44*h**4 + 146*h**3 - 42*h**2 - 176*h + 56 = 0.
-1, 7/22, 2
Let 24*f**3 - 196*f**2 + 320*f - 48 = 0. What is f?
1/6, 2, 6
Factor 2*k**2 + 12*k.
2*k*(k + 6)
Factor -5*y**4 - 5*y**3 + 15*y**2 + 5*y - 10.
-5*(y - 1)**2*(y + 1)*(y + 2)
Let -28*x**3 + 16*x**2 + 28*x - 16 = 0. What is x?
-1, 4/7, 1
Let n**2/4 + 4*n - 9 = 0. Calculate n.
-18, 2
Factor 2*u**4/11 - 114*u**3/11 + 30*u**2 - 326*u/11 + 108/11.
2*(u - 54)*(u - 1)**3/11
What is c in 81*c**5 - 261*c**4/4 - 163*c**3/2 + 151*c**2/4 + 25*c + 3 = 0?
-3/4, -2/9, 1
Let 2*y**3/7 + 28*y**2 + 4600*y/7 - 10000/7 = 0. Calculate y.
-50, 2
Factor 2*w**2/3 + 236*w/3 + 6962/3.
2*(w + 59)**2/3
Solve 27*s**5 - 177*s**4 - 1058*s**3/3 + 908*s**2/3 + 536*s/3 + 64/3 = 0 for s.
-2, -2/9, 1, 8
Solve -g**3/4 - 3*g**2 - 21*g/4 - 5/2 = 0 for g.
-10, -1
Factor 4*n**2 - 16.
4*(n - 2)*(n + 2)
Factor 2*y**2/25 + 16*y/5 + 32.
2*(y + 20)**2/25
Solve -4*r**3/5 + 16*r**2 + 4*r/5 - 16 = 0.
-1, 1, 20
Suppose -6*y**4/11 + 2*y**3/11 + 4*y**2/11 = 0. Calculate y.
-2/3, 0, 1
Factor 2*v**2/5 - 22*v/5 - 24/5.
2*(v - 12)*(v + 1)/5
Factor -3*x**2/4 - 21*x + 87/4.
-3*(x - 1)*(x + 29)/4
Let 2*j**5/3 - 8*j**4/3 - 10*j**3/3 = 0. Calculate j.
-1, 0, 5
Determine z so that z**5/2 - 7*z**4/2 - 9*z**3/2 + 7*z**2/2 + 4*z = 0.
-1, 0, 1, 8
Suppose 4*l**3 - 56*l**2 + 96*l = 0. What is l?
0, 2, 12
Factor -2*z**3/15 - 2*z**2/15 + 4*z/15.
-2*z*(z - 1)*(z + 2)/15
Factor w**3/6 + w**2/2 - w/6 - 1/2.
(w - 1)*(w + 1)*(w + 3)/6
Determine j, given that 2*j**2 + 22*j + 36 = 0.
-9, -2
Factor -4*n**3 + 2628*n**2 - 575532*n + 42013836.
-4*(n - 219)**3
Determine x, given that -x**2 + 33*x - 62 = 0.
2, 31
Determine b, given that 3*b**5/5 + 18*b**4/5 + 3*b**3/5 - 72*b**2/5 + 48*b/5 = 0.
-4, 0,