 0.
-80, 0, 1
Determine n so that n**4/3 - 110*n**3/3 - 571*n**2/3 - 460*n/3 = 0.
-4, -1, 0, 115
Let u**5/2 + u**4/6 - u**3/2 - u**2/6 = 0. What is u?
-1, -1/3, 0, 1
Factor -2*l**5/15 - 6*l**4/5 - 2*l**3 + 10*l**2/3.
-2*l**2*(l - 1)*(l + 5)**2/15
Suppose -30*d**2 + 471*d + 144 = 0. What is d?
-3/10, 16
Determine o, given that -o**5/6 - o**4/6 + 9*o**3/2 - 9*o**2/2 - 9*o = 0.
-6, -1, 0, 3
Find s such that 875*s**4 + 675*s**3 - 1710*s**2 + 820*s - 120 = 0.
-2, 2/5, 3/7
Factor f**5/2 - 7*f**4/2 - 3*f**3/2 + 23*f**2/2 - 7*f.
f*(f - 7)*(f - 1)**2*(f + 2)/2
Solve -d**3/6 + 4*d**2/3 + 56*d/3 + 128/3 = 0 for d.
-4, 16
Suppose 3*u**2/7 + 1515*u/7 + 216 = 0. Calculate u.
-504, -1
Factor 2*u**5/9 - 10*u**4/9 + 4*u**3/3 + 8*u**2/9 - 16*u/9.
2*u*(u - 2)**3*(u + 1)/9
Solve 6*o**4/7 + 370*o**3/7 + 2186*o**2/7 - 110*o = 0 for o.
-55, -7, 0, 1/3
Let -v**5/4 - 73*v**4/4 - 719*v**3/2 - 1943*v**2/2 - 3745*v/4 - 1225/4 = 0. Calculate v.
-35, -1
Solve 21*k**4/4 - 107*k**3/4 + 47*k**2/2 - 2*k = 0.
0, 2/21, 1, 4
Let -u**2 - 3*u + 18 = 0. Calculate u.
-6, 3
Find z such that 10*z**4 + 35*z**3 - 705*z**2 + 1400*z + 880 = 0.
-11, -1/2, 4
Factor -10*w**3/13 - 16*w**2/13 + 184*w/13 - 224/13.
-2*(w - 2)**2*(5*w + 28)/13
Determine m, given that 3*m**2/5 - 6*m - 33/5 = 0.
-1, 11
Factor f**3/4 - 231*f**2/4 + 229*f/2.
f*(f - 229)*(f - 2)/4
Factor -2*p**3/5 + 6*p**2/5 - 4*p/5.
-2*p*(p - 2)*(p - 1)/5
Find p, given that -p**4/6 - p**3/2 + p**2/2 + 7*p/6 - 1 = 0.
-3, -2, 1
What is d in -d**3/5 + 11*d**2 + 56*d/5 = 0?
-1, 0, 56
Factor -2*y**3/3 + 14*y**2 + 30*y - 1350.
-2*(y - 15)**2*(y + 9)/3
Factor 4*r**5 + 12*r**4 + 12*r**3 + 4*r**2.
4*r**2*(r + 1)**3
Factor 4*a**2 - 36*a - 40.
4*(a - 10)*(a + 1)
Factor 31*k**3/6 - 95*k**2/2 + 151*k/3 - 8.
(k - 8)*(k - 1)*(31*k - 6)/6
Factor w**5/4 + w**4/2 - 7*w**3/4 + w**2.
w**2*(w - 1)**2*(w + 4)/4
Suppose 2*f**4 - 50*f**3/9 + 14*f**2/3 - 2*f/3 - 4/9 = 0. Calculate f.
-2/9, 1
Suppose -3*g**4/2 + 12*g**3 - 15*g**2/2 - 21*g = 0. What is g?
-1, 0, 2, 7
Factor -18*c**3 + 96*c**2 - 104*c + 32.
-2*(c - 4)*(3*c - 2)**2
Find t, given that -2*t**2/3 + 280*t/3 - 9800/3 = 0.
70
Suppose -n**5 - 4*n**4 - 6*n**3 - 4*n**2 - n = 0. Calculate n.
-1, 0
Find q, given that 2*q**4/11 - 8*q**3/11 - 96*q**2/11 + 640*q/11 - 1024/11 = 0.
-8, 4
Determine u so that -5*u**2 + 610*u + 4515 = 0.
-7, 129
Solve i**3/3 + 16*i**2/3 + 52*i/3 + 16 = 0.
-12, -2
Determine q so that 2*q**4 - 28*q**3/9 - 6*q**2 + 16*q/3 + 56/9 = 0.
-1, 14/9, 2
Suppose -2*q**4/9 + 22*q**3/9 + 2*q**2/9 - 22*q/9 = 0. Calculate q.
-1, 0, 1, 11
Determine t so that 2*t**3 - 6*t**2 - 32*t - 24 = 0.
-2, -1, 6
Solve 3*z**3/5 - 348*z**2/5 + 1356*z/5 - 1344/5 = 0.
2, 112
Find s such that -3*s**2 + 432*s - 1269 = 0.
3, 141
Solve -2*a**5/3 + 17*a**4/6 - 4*a**3 + 13*a**2/6 - a/3 = 0.
0, 1/4, 1, 2
Factor i**4 + 4268*i**3 + 4553956*i**2.
i**2*(i + 2134)**2
Determine p, given that p**2/3 - 2*p/3 - 224/3 = 0.
-14, 16
Let j**4/8 + 41*j**3/4 + 1681*j**2/8 = 0. Calculate j.
-41, 0
Factor 4*d**5 - 40*d**4 + 128*d**3 - 128*d**2.
4*d**2*(d - 4)**2*(d - 2)
Factor 5*h**5 + 40*h**4 - 360*h**3 + 800*h**2 - 560*h.
5*h*(h - 2)**3*(h + 14)
Factor j**2/4 + 87*j/4.
j*(j + 87)/4
Factor -4*k**2/9 + 172*k/9 + 176/9.
-4*(k - 44)*(k + 1)/9
Suppose -3*k**2 - 246*k + 249 = 0. What is k?
-83, 1
Factor 15*k**5 - k**4.
k**4*(15*k - 1)
Factor 93*n**2/4 - 51*n + 9.
3*(n - 2)*(31*n - 6)/4
Let -5*b**3/6 - 5*b**2 - 25*b/6 = 0. What is b?
-5, -1, 0
Factor 6*j**3 - 9*j**2 - 6*j + 9.
3*(j - 1)*(j + 1)*(2*j - 3)
Let -4*s**3 + 2928*s**2 - 714432*s + 58107136 = 0. Calculate s.
244
Suppose 117*s**4 - 21*s**3 - 318*s**2 - 204*s - 24 = 0. What is s?
-1, -2/3, -2/13, 2
Factor -2*s**5/9 + 10*s**4/9 + 14*s**3/3 + 46*s**2/9 + 16*s/9.
-2*s*(s - 8)*(s + 1)**3/9
Determine g so that 35*g**2 + 19*g + 2 = 0.
-2/5, -1/7
Factor -2*m**2/5 + 172*m/5 - 448.
-2*(m - 70)*(m - 16)/5
Factor -w**3 + 4*w**2 + 11*w - 30.
-(w - 5)*(w - 2)*(w + 3)
Determine c so that -c**5/4 + 51*c**4/4 - 477*c**3/2 + 3915*c**2/2 - 26325*c/4 + 30375/4 = 0.
3, 15
Solve -u**3/3 - 61*u**2/9 + 1034*u/9 = 0.
-94/3, 0, 11
Let 4*r**5 - 96*r**4 + 484*r**3 - 984*r**2 + 880*r - 288 = 0. What is r?
1, 2, 18
Determine u, given that -3*u**2 - 501*u - 498 = 0.
-166, -1
Factor -3*m**2 - 63*m - 330.
-3*(m + 10)*(m + 11)
Factor -v**3 - 20*v**2 - 100*v.
-v*(v + 10)**2
Solve -2*v**4 + 14*v**3 - 12*v**2 = 0 for v.
0, 1, 6
Factor 28*c**2 - 204*c + 56.
4*(c - 7)*(7*c - 2)
Factor -y**3/4 + 21*y**2/2 - 441*y/4 + 100.
-(y - 25)*(y - 16)*(y - 1)/4
Factor -5*j**4 - 5*j**3 + 15*j**2 + 5*j - 10.
-5*(j - 1)**2*(j + 1)*(j + 2)
Factor -2*d**2 - 3568*d - 1591328.
-2*(d + 892)**2
Let 605*z**4 - 18040*z**3 - 22050*z**2 - 3560*z - 155 = 0. Calculate z.
-1, -1/11, 31
Factor -5*o**5 - 70*o**4 - 65*o**3.
-5*o**3*(o + 1)*(o + 13)
Find g such that -9*g**2/4 - 89*g/8 + 5/8 = 0.
-5, 1/18
Find k such that 2*k**2/11 - 4*k/11 - 70/11 = 0.
-5, 7
Factor 2*p**5 + 10*p**4 + 4*p**3 - 16*p**2.
2*p**2*(p - 1)*(p + 2)*(p + 4)
Factor -2*p**2/13 - 12*p/13 - 16/13.
-2*(p + 2)*(p + 4)/13
Determine u, given that -21*u**4/2 + 15*u**3/2 + 171*u**2 + 258*u + 60 = 0.
-2, -2/7, 5
Factor -6*s**2/11 + 188*s/11 - 62/11.
-2*(s - 31)*(3*s - 1)/11
Solve -2*h**4 - 288*h**3 - 850*h**2 - 564*h = 0.
-141, -2, -1, 0
Factor 5*s**5/4 - 15*s**4/2 + 10*s**3 + 20*s**2 - 60*s + 40.
5*(s - 2)**4*(s + 2)/4
Factor 2*o**2/13 - 184*o/13 + 4232/13.
2*(o - 46)**2/13
Factor -j**3/2 - 12*j**2 + 469*j/2 - 222.
-(j - 12)*(j - 1)*(j + 37)/2
Factor 5*j**3 + 475*j**2 + 1835*j + 1365.
5*(j + 1)*(j + 3)*(j + 91)
Factor d**2 + d - 30.
(d - 5)*(d + 6)
Factor -2*h**3/3 + 158*h**2/3 - 48*h - 312.
-2*(h - 78)*(h - 3)*(h + 2)/3
Find b such that b**5/4 - 7*b**4/2 - 27*b**3 - 115*b**2/2 - 197*b/4 - 15 = 0.
-3, -1, 20
Find u such that 49*u**4/12 + 217*u**3/12 + 5*u**2 - 23*u/3 + 4/3 = 0.
-4, -1, 2/7
What is s in -2*s**4 - 240*s**3 - 8300*s**2 - 66000*s - 151250 = 0?
-55, -5
Factor v**5 - 7*v**4 + 19*v**3 - 25*v**2 + 16*v - 4.
(v - 2)**2*(v - 1)**3
Factor -2*f**2/5 + 56*f/5 - 104/5.
-2*(f - 26)*(f - 2)/5
Suppose -5*z**3 + 105*z**2 + 270*z - 920 = 0. What is z?
-4, 2, 23
Factor k**4/9 - 13*k**3/9 - 5*k**2/3 + 13*k/9 + 14/9.
(k - 14)*(k - 1)*(k + 1)**2/9
Determine f so that -3*f**2 - 30*f + 33 = 0.
-11, 1
Factor -4*m**3 + 72*m**2 + 444*m + 368.
-4*(m - 23)*(m + 1)*(m + 4)
Find h, given that -148*h**4/7 - 116*h**3/7 + 328*h**2/7 - 64*h/7 = 0.
-2, 0, 8/37, 1
Determine r, given that 4*r**2 + 92*r + 528 = 0.
-12, -11
Determine y so that -18*y**5 + 30*y**4 + 59*y**3/2 - 29*y**2 - 23*y/2 - 1 = 0.
-1, -1/6, 1, 2
Let 20*c**2 - 1115*c - 5100 = 0. What is c?
-17/4, 60
Factor 2*f**2/13 + 146*f/13 + 144/13.
2*(f + 1)*(f + 72)/13
Determine s so that -3*s**5/7 - 51*s**4/7 - 75*s**3/7 + 243*s**2/7 + 270*s/7 = 0.
-15, -3, -1, 0, 2
Suppose -50*t**5/11 + 1810*t**4/11 + 9472*t**3/11 + 14896*t**2/11 + 7840*t/11 + 1312/11 = 0. What is t?
-2, -2/5, 41
Find a, given that -2*a**3 - 3*a**2 + 3*a + 2 = 0.
-2, -1/2, 1
Suppose -13*i**5 + 38*i**4 - 37*i**3 + 12*i**2 = 0. What is i?
0, 12/13, 1
Let -u**4/6 - 35*u**3/3 + u**2/2 + 106*u/3 + 70/3 = 0. What is u?
-70, -1, 2
Factor -6*m**2/11 + 768*m/11 - 24576/11.
-6*(m - 64)**2/11
Factor 5*s**2 + 870*s + 37845.
5*(s + 87)**2
Let -4*q**4 - 112*q**3 + 1100*q**2 - 1848*q + 864 = 0. What is q?
-36, 1, 6
Suppose -5*o**3 + 35*o**2 - 30*o = 0. What is o?
0, 1, 6
Factor 2*n**4 + 8*n**3.
2*n**3*(n + 4)
Find v, given that -4*v**3 - 100*v**2 - 448*v + 2352 = 0.
-14, 3
Factor -5*w**2 - 15*w + 2520.
-5*(w - 21)*(w + 24)
Factor 3*v**3 - 21*v**2 - 90*v.
3*v*(v - 10)*(v + 3)
Factor -5*s**4 + 100*s**3 - 500*s**2.
-5*s**2*(s - 10)**2
Factor -5*a**4 - 1520*a**3 - 173280*a**2 - 8779520*a - 166810880.
-5*(a + 76)**4
Find j, given that 4*j**3 - 48*j**2 + 1024 = 0.
-4, 8
Solve 2*m**5 + 8*m**4 - 12*m**3 - 8*m**2 + 10*m = 0.
-5, -1, 0, 1
Find t such that -t**4/4 + 5*t**3/2 + 97*t**2/4 - 5*t/2 - 24 = 0.
-6, -1, 1, 16
Find u such that -8*u**3/9 + 370*u**2/3 - 638*u/3 - 548/9 = 0.
-1/4, 2, 137
Find s such that s**2/4 + 59*s/4 = 0.
-59, 0
Determine q so that 2*q**5 + 14*q**4 + 10*q**3 - 14*q**2 - 12*q = 0.
-6, -1, 0, 1
Factor 2*p**2/11 + 14*p/11 - 16/11.
2*(p - 1)*(p + 8)/11
Let 24*g**5 + 44*g**4 + 16*g**3 - 4*g**2 = 0. Calculate g.
-1, 0, 1/6
Solve 2*z**4 + 26*z**3 + 96*z**2 + 72*z = 0 for z.
-6, -1, 0
Fact