**3/4 + 27*k**2/4 - 33*k/4 + 3 = 0.
-4, 1
Factor -p**4 + 75*p**3 - 927*p**2 - 1003*p.
-p*(p - 59)*(p - 17)*(p + 1)
Find u, given that 3*u**4 - 108*u**3 + 858*u**2 + 2052*u + 1083 = 0.
-1, 19
Determine w so that -2*w**4 - 28*w**3 - 22*w**2 + 52*w = 0.
-13, -2, 0, 1
Solve 5*d**4/4 - 15*d**3 + 105*d**2/4 - 25*d/2 = 0 for d.
0, 1, 10
Factor 117*f**3/5 + 831*f**2/5 + 786*f/5 + 72/5.
3*(f + 1)*(f + 6)*(39*f + 4)/5
Solve 16*z**4 + 20*z**3 - 52*z**2 - 56*z = 0 for z.
-2, -1, 0, 7/4
Factor 27*z**3 - 2046*z**2 + 29784*z + 6720.
3*(z - 56)*(z - 20)*(9*z + 2)
Suppose 2*q**4 - 248*q**3 - 1284*q**2 - 792*q + 2322 = 0. What is q?
-3, 1, 129
Solve -5*f**4 + 4350*f**3 + 13080*f**2 + 13090*f + 4365 = 0 for f.
-1, 873
Factor -y**3 + 441*y**2 - 64827*y + 3176523.
-(y - 147)**3
Let -o**2/9 - 50*o/9 - 625/9 = 0. Calculate o.
-25
Find d, given that -4*d**4/3 - 2903*d**3/3 - 234014*d**2 - 56514260*d/3 + 14172488/3 = 0.
-242, 1/4
Find k such that -3*k**2/4 + 498*k - 82668 = 0.
332
What is i in 24*i**4 - 196*i**3 + 512*i**2 - 464*i + 64 = 0?
1/6, 2, 4
Solve -w**2 - 65*w - 594 = 0 for w.
-54, -11
Suppose w**2/4 + 49*w/2 - 50 = 0. Calculate w.
-100, 2
Factor g**3/5 - 84*g**2/5 - 171*g/5 - 86/5.
(g - 86)*(g + 1)**2/5
Factor 3*k**2 + 90*k + 375.
3*(k + 5)*(k + 25)
Factor -2*w**2/3 + 94*w/3 + 520/3.
-2*(w - 52)*(w + 5)/3
Determine c so that -c**2 + 268*c + 540 = 0.
-2, 270
Factor 2*b**2 + 744*b + 69192.
2*(b + 186)**2
Determine u so that -15*u**5 - 155*u**4 - 1775*u**3/3 - 1005*u**2 - 720*u - 180 = 0.
-3, -2/3
Solve -f**2/4 - 65*f/4 - 63/2 = 0.
-63, -2
What is a in 3*a**4 + 447*a**3 + 16866*a**2 + 15540*a - 32856 = 0?
-74, -2, 1
Solve -l**3/5 - 9*l**2/5 - 8*l/5 = 0 for l.
-8, -1, 0
Find a, given that -4*a**3 - 983*a**2 - 734*a + 245 = 0.
-245, -1, 1/4
Factor -7*u**3/3 + 691*u**2/3 + 66*u.
-u*(u - 99)*(7*u + 2)/3
Let -9*p**5 - 42*p**4 + 111*p**3 + 252*p**2 + 108*p = 0. What is p?
-6, -1, -2/3, 0, 3
Find k such that k**3 - 156*k**2 + 893*k + 1050 = 0.
-1, 7, 150
Factor f**2/5 + 2966*f/5 + 2199289/5.
(f + 1483)**2/5
Factor -z**2/2 - 87*z/2 + 44.
-(z - 1)*(z + 88)/2
Determine g so that 3*g**3/4 - 3*g**2/2 + 3*g/4 = 0.
0, 1
Factor -27*a**3 + 606*a**2 - 831*a + 252.
-3*(a - 21)*(a - 1)*(9*a - 4)
Factor -b**4/2 + 9*b**3 + 87*b**2/2 - 266*b + 294.
-(b - 21)*(b - 2)**2*(b + 7)/2
Factor 2*o**2 + 20*o + 48.
2*(o + 4)*(o + 6)
Suppose 26*f**3/5 + 334*f**2/5 + 52*f - 48/5 = 0. What is f?
-12, -1, 2/13
Suppose c**5 + 37*c**4/2 - 313*c**3/2 - 7323*c**2/2 - 15165*c/2 + 4725 = 0. Calculate c.
-15, -3, 1/2, 14
Factor -4*m**4 + 140*m**3 - 1584*m**2 + 5184*m + 6912.
-4*(m - 12)**3*(m + 1)
Let 3*t**2 + 273*t - 276 = 0. Calculate t.
-92, 1
Let -5*y**4 + 130*y**3 - 1060*y**2 + 2750*y - 1815 = 0. Calculate y.
1, 3, 11
Factor -5*r**5 + 4905*r**4 - 4900*r**3.
-5*r**3*(r - 980)*(r - 1)
Let -2*y**3 - 26*y**2 - 20*y + 48 = 0. Calculate y.
-12, -2, 1
Find b, given that 2*b**3/7 + 342*b**2/7 + 14790*b/7 + 14450/7 = 0.
-85, -1
Suppose 2*y**5/9 - 26*y**4/9 - 118*y**3/9 + 290*y**2 - 900*y = 0. Calculate y.
-10, 0, 5, 9
Suppose -55*k**2 - 4190*k - 760 = 0. What is k?
-76, -2/11
Find m such that -2*m**4/5 + 74*m**3/5 - 564*m**2/5 - 448*m - 320 = 0.
-2, -1, 20
Factor -v**3 - 6*v**2 - 11*v - 6.
-(v + 1)*(v + 2)*(v + 3)
Factor -3*x**4/2 + 30*x**3 - 117*x**2 - 330*x - 363/2.
-3*(x - 11)**2*(x + 1)**2/2
Factor 571*r**2/3 - 1141*r/6 - 1/6.
(r - 1)*(1142*r + 1)/6
Suppose 27*x**2 + 1869*x + 414 = 0. What is x?
-69, -2/9
Find j, given that -j**2 + 26*j - 88 = 0.
4, 22
Determine i so that 9*i**2/2 + 11*i/2 + 1 = 0.
-1, -2/9
Factor -3*v**2/2 - 693*v/2 + 348.
-3*(v - 1)*(v + 232)/2
Suppose 5*k**3/3 - 125*k**2 - 3740*k/3 - 1120 = 0. What is k?
-8, -1, 84
Factor 5*l**4 + 2880*l**3 + 622080*l**2 + 59719680*l + 2149908480.
5*(l + 144)**4
Determine z so that -z**2 - 6202*z - 9616201 = 0.
-3101
Determine g, given that 3*g**4/4 - 27*g**3/4 - 36*g**2 - 39*g = 0.
-2, 0, 13
Factor c**2 + 1848*c + 853776.
(c + 924)**2
What is k in -2*k**3 - 90*k**2 = 0?
-45, 0
Solve -2*o**5/7 + 8*o**4/7 + 22*o**3/7 - 52*o**2/7 - 8*o + 80/7 = 0 for o.
-2, 1, 2, 5
Let f**3 + 751*f**2 = 0. What is f?
-751, 0
Find u such that -2*u**2/9 + 12220*u/9 - 18666050/9 = 0.
3055
What is w in -72*w**4 + 102*w**3 - 33*w**2 + 3*w = 0?
0, 1/6, 1/4, 1
What is v in 4*v**3 - 212*v**2 + 2912*v - 2704 = 0?
1, 26
Factor 2*w**3/13 + 14*w**2 + 5104*w/13 + 45496/13.
2*(w + 22)**2*(w + 47)/13
Factor 3*k**3 + 18*k**2 + 33*k + 18.
3*(k + 1)*(k + 2)*(k + 3)
Factor -21*a**4/2 - 747*a**3/2 - 3240*a**2 + 1458*a.
-3*a*(a + 18)**2*(7*a - 3)/2
Let p**5/4 - 59*p**4/4 + 835*p**3/4 + 1203*p**2/4 - 1170*p + 675 = 0. What is p?
-3, 1, 30
Suppose 6*m**5 + 146*m**4 - 288*m**3 - 688*m**2 + 1056*m + 416 = 0. Calculate m.
-26, -2, -1/3, 2
Factor -p**4/2 - 15*p**3 - 78*p**2 + 1183*p + 19773/2.
-(p - 9)*(p + 13)**3/2
Suppose -9*s**3 - 2492*s**2 - 173604*s - 152352 = 0. Calculate s.
-138, -8/9
Factor -d**2 + 111*d - 110.
-(d - 110)*(d - 1)
Solve d**5 - 3*d**4 - 11*d**3 + 3*d**2 + 10*d = 0.
-2, -1, 0, 1, 5
Factor 3*a**4/8 - 21*a**3/8 + 27*a**2/4 - 15*a/2 + 3.
3*(a - 2)**3*(a - 1)/8
Factor -3*u**3 + 78*u**2 - 276*u + 264.
-3*(u - 22)*(u - 2)**2
Factor s**2/4 - 9*s.
s*(s - 36)/4
Factor -3*h**3 - 5340*h**2 - 10671*h - 5334.
-3*(h + 1)**2*(h + 1778)
Let -1218*q**4/11 + 2*q**3/11 = 0. What is q?
0, 1/609
Find q, given that -688*q**3/3 - 917*q**2 - 916*q + 4/3 = 0.
-2, 1/688
Suppose -2*h**2/3 - 635*h/6 + 53/2 = 0. What is h?
-159, 1/4
Factor 4*y**2 - 104*y.
4*y*(y - 26)
What is x in -8*x**4/9 - 386*x**3/9 + 296*x**2/9 + 98*x/9 = 0?
-49, -1/4, 0, 1
Find b, given that b**4/3 - 10*b**3/3 + 35*b**2/3 - 50*b/3 + 8 = 0.
1, 2, 3, 4
What is n in -6*n**4/5 - 3*n**3 + 12*n**2/5 + 9*n/5 = 0?
-3, -1/2, 0, 1
What is w in 3*w**2/7 + 2073*w/7 + 6192/7 = 0?
-688, -3
Factor -5*p**3 - 55*p**2 + 145*p + 195.
-5*(p - 3)*(p + 1)*(p + 13)
Factor p**5/5 + 4*p**4/5 + p**3 + 2*p**2/5.
p**2*(p + 1)**2*(p + 2)/5
Factor z**4/2 + 3*z**3 + 5*z**2/2 - 12*z - 18.
(z - 2)*(z + 2)*(z + 3)**2/2
Factor -35*h**2 - 45*h.
-5*h*(7*h + 9)
Factor -169*j**2/4 + 1105*j - 7225.
-(13*j - 170)**2/4
Factor -z**5 + 54*z**4 + 56*z**3 - 54*z**2 - 55*z.
-z*(z - 55)*(z - 1)*(z + 1)**2
Suppose -4*v**2 - 60*v = 0. Calculate v.
-15, 0
Factor 25*w**2 + 340*w - 140.
5*(w + 14)*(5*w - 2)
Solve -18*d**5/5 + 201*d**4/5 + 42*d**3/5 - 837*d**2/5 + 24*d + 132/5 = 0.
-2, -1/3, 1/2, 2, 11
Determine w so that -w**3 + 3*w**2 + 24*w + 28 = 0.
-2, 7
Suppose -52*n**5 - 1604*n**4 + 5552*n**3 - 1024*n**2 - 7040*n + 1088 = 0. Calculate n.
-34, -1, 2/13, 2
Factor -21*o**3/5 - 7134*o**2/5 - 120972*o + 34680.
-3*(o + 170)**2*(7*o - 2)/5
Factor -2*z**2 + 202*z.
-2*z*(z - 101)
Factor 2*w**3/15 + 8*w**2/3 - 8*w/15 - 32/3.
2*(w - 2)*(w + 2)*(w + 20)/15
Determine n, given that -4*n**2 - 8*n + 480 = 0.
-12, 10
Factor 4*y**3/7 + 48*y**2/7 - 52*y/7.
4*y*(y - 1)*(y + 13)/7
What is b in 5*b**3 - 105*b**2 - 2685*b - 10175 = 0?
-11, -5, 37
Suppose -2*j**2/9 + 28*j/3 = 0. Calculate j.
0, 42
Factor -2*m**2/7 + 22*m - 1452/7.
-2*(m - 66)*(m - 11)/7
Find j such that 6*j**5 + 71*j**4/2 + 163*j**3/6 - 218*j**2/3 + 38*j/3 + 8 = 0.
-4, -3, -1/4, 2/3
Factor -7*i**3 - 163*i**2 + 122*i + 48.
-(i - 1)*(i + 24)*(7*i + 2)
Let 2*o**2/5 - 284*o/5 + 10082/5 = 0. Calculate o.
71
Factor -4*c**5/3 + 40*c**4/3 - 32*c**3 + 88*c**2/3 - 28*c/3.
-4*c*(c - 7)*(c - 1)**3/3
Factor 49*f**4/6 - 133*f**3/3 - 82*f**2/3 - 4*f.
f*(f - 6)*(7*f + 2)**2/6
Factor -a**4 + 435*a**3 - 433*a**2 - 435*a + 434.
-(a - 434)*(a - 1)**2*(a + 1)
Factor 5*m**5 + 3675*m**4 + 669750*m**3 - 2031350*m**2 + 2038725*m - 680805.
5*(m - 1)**3*(m + 369)**2
Factor -2*p**5/15 - 178*p**4/15 - 844*p**3/3 - 11612*p**2/15 - 11266*p/15 - 3698/15.
-2*(p + 1)**3*(p + 43)**2/15
Let -15*w**5 + 87*w**4 - 162*w**3 + 114*w**2 - 15*w - 9 = 0. Calculate w.
-1/5, 1, 3
Factor -2*z**3/7 + 164*z**2/7 - 46*z + 160/7.
-2*(z - 80)*(z - 1)**2/7
Solve 5*g**2 - 3840*g - 7700 = 0.
-2, 770
Let 32*z**5/7 - 94*z**4/7 + 62*z**3/7 = 0. Calculate z.
0, 1, 31/16
Factor 15*h**4/7 + 414*h**3/7 - 24*h**2.
3*h**2*(h + 28)*(5*h - 2)/7
Determine n, given that 3*n**2 + 309*n - 630 = 0.
-105, 2
Determine v, given that v**2 + 45*v - 196 = 0.
-49, 4
Factor s**3/3 - 541*s**2/3 + 180*s.
s*(s - 540)*(s - 1)/3
Factor -5*t**3 - 35*t**2 - 60*t.
-5*t*(t + 3)*(t + 4)
Factor -2*d**2 + 750*d - 223