**2*(u + 2)/4
Factor 2*y**2 + 13264*y + 21991712.
2*(y + 3316)**2
Find j such that 2*j**5/9 - 2*j**4/9 - 2*j**3/3 + 10*j**2/9 - 4*j/9 = 0.
-2, 0, 1
Let -6*o**4/19 - 28*o**3/19 + 110*o**2/19 + 84*o/19 = 0. Calculate o.
-7, -2/3, 0, 3
Solve 3*a**2/4 + 1125*a/2 = 0.
-750, 0
Suppose -2*b**3 - 308*b**2 - 11544*b + 24336 = 0. What is b?
-78, 2
Solve -4*k**5/3 + 116*k**4 + 2200*k**3/3 + 1000*k**2 - 732*k - 1116 = 0.
-3, -1, 1, 93
Let -10*n**5 + 45*n**4 + 10*n**3 - 180*n**2 + 135 = 0. Calculate n.
-3/2, -1, 1, 3
Determine t so that 5*t**4/4 - 5*t**3/4 - 5*t**2/4 + 5*t/4 = 0.
-1, 0, 1
Factor o**3/4 + 301*o**2/2.
o**2*(o + 602)/4
Find d, given that -d**2 - 306*d + 307 = 0.
-307, 1
Solve -8*g**4/3 + 20*g**3 + 40*g**2/3 - 20*g - 32/3 = 0 for g.
-1, -1/2, 1, 8
Determine c, given that -c**2/2 + 20*c + 441/2 = 0.
-9, 49
Factor 2*t**4/7 + 6*t**3/7 - 8*t/7.
2*t*(t - 1)*(t + 2)**2/7
What is x in x**3/2 + 141*x**2/2 - 72*x - 142 = 0?
-142, -1, 2
Let -h**3/8 - 7*h**2/2 - 125*h/8 + 77/4 = 0. What is h?
-22, -7, 1
Let -2*d**5/3 - 98*d**4/3 - 1148*d**3/3 + 1348*d**2/3 + 1150*d/3 - 1250/3 = 0. Calculate d.
-25, -1, 1
What is p in -3*p**4 - 108*p**3 - 969*p**2 + 108*p + 972 = 0?
-18, -1, 1
Factor 5*h**4/4 - 90*h**3 + 1940*h**2 - 11520*h + 20480.
5*(h - 32)**2*(h - 4)**2/4
Find q such that q**2/11 + 26*q/11 + 169/11 = 0.
-13
Solve 5*d**3 + 1225*d**2 - 4960*d + 4980 = 0 for d.
-249, 2
Factor -r**4/2 - 34*r**3 - 543*r**2 + 1190*r - 1225/2.
-(r - 1)**2*(r + 35)**2/2
Solve -p**2/2 + p/2 + 21 = 0 for p.
-6, 7
Solve -5*z**5 - 25*z**4 - 15*z**3 + 85*z**2 + 140*z + 60 = 0 for z.
-3, -2, -1, 2
Suppose o**2 - o = 0. What is o?
0, 1
Factor 2*n**5 - 6760*n**4 + 5718956*n**3 - 11417640*n**2 + 5705442*n.
2*n*(n - 1689)**2*(n - 1)**2
Factor 2*a**5 + 4*a**4 - 12*a**3 - 40*a**2 - 38*a - 12.
2*(a - 3)*(a + 1)**3*(a + 2)
Factor y**4/3 + 2*y**3/3 - 40*y**2/3 + 64*y/3.
y*(y - 4)*(y - 2)*(y + 8)/3
Determine f, given that -2*f**4/13 + 248*f**3/13 - 6632*f**2/13 - 65472*f/13 - 139392/13 = 0.
-4, 66
Suppose 14*d**4/11 - 46*d**3/11 + 54*d**2/11 - 26*d/11 + 4/11 = 0. Calculate d.
2/7, 1
Factor 2*x**2 - 24*x + 54.
2*(x - 9)*(x - 3)
Solve s**2/5 + 804*s/5 + 161604/5 = 0 for s.
-402
Factor 3*d**3/7 - 81*d**2 + 5103*d - 107163.
3*(d - 63)**3/7
Solve -3*f**3/5 + 51*f**2/5 + 372*f/5 - 924/5 = 0.
-7, 2, 22
Factor 15*g**3/4 + 33*g**2/2 + 15*g/4 - 9.
3*(g + 1)*(g + 4)*(5*g - 3)/4
What is y in 4*y**2 - 316*y + 616 = 0?
2, 77
Factor -4*x**4 - 4*x**3 + 24*x**2 + 16*x - 32.
-4*(x - 2)*(x - 1)*(x + 2)**2
Factor 4*t**2 - 114*t + 56.
2*(t - 28)*(2*t - 1)
Factor 2*d**2 + 1362*d.
2*d*(d + 681)
Determine o, given that -3*o**4/7 + 810*o**3/7 + 1635*o**2/7 - 810*o/7 - 1632/7 = 0.
-2, -1, 1, 272
Suppose 10*x**2 - 35*x + 15 = 0. Calculate x.
1/2, 3
Factor -2*b**3 - 3*b**2 + 20*b.
-b*(b + 4)*(2*b - 5)
Factor 2*v**2/3 - 640*v/3 + 51200/3.
2*(v - 160)**2/3
Solve 4*b**3/3 + 14*b**2/3 + 4*b/3 - 2 = 0 for b.
-3, -1, 1/2
Factor 5*q**2/3 + 25*q/3 - 40.
5*(q - 3)*(q + 8)/3
Determine v, given that 2*v**5/5 + 88*v**4/5 + 1196*v**3/5 + 5016*v**2/5 + 6498*v/5 = 0.
-19, -3, 0
Factor -6*p**3 + 22*p**2 - 12*p.
-2*p*(p - 3)*(3*p - 2)
Factor -2*w**2/5 + 436*w/5 - 23762/5.
-2*(w - 109)**2/5
Find o such that 2*o**5/7 + 2*o**4 - 20*o**3/7 - 32*o**2/7 = 0.
-8, -1, 0, 2
Solve -5*m**2/6 + 10*m/3 + 25/6 = 0 for m.
-1, 5
What is i in -i**3/6 + 46*i**2 - 4232*i + 389344/3 = 0?
92
Find y such that -2*y**2/5 + 22*y/5 - 56/5 = 0.
4, 7
Factor t**2/9 - 50*t/9 + 49/9.
(t - 49)*(t - 1)/9
Let -2*q**4/5 - 8*q**3/5 - 2*q**2 - 4*q/5 = 0. Calculate q.
-2, -1, 0
Let 2*f**3 - 362*f**2 + 356*f + 720 = 0. What is f?
-1, 2, 180
Find u, given that 4*u**3 - 13496*u**2 + 11383876*u = 0.
0, 1687
Let -j**5/5 - 18*j**4/5 - 83*j**3/5 + 2*j**2/5 + 348*j/5 + 56 = 0. Calculate j.
-10, -7, -2, -1, 2
Factor v**2 - 243*v + 242.
(v - 242)*(v - 1)
Factor 2*d**2/15 + 58*d/15 - 168/5.
2*(d - 7)*(d + 36)/15
Suppose 3*p**5/2 - 11*p**4/2 - p**3 + 12*p**2 = 0. What is p?
-4/3, 0, 2, 3
Factor -2*i**2/5 - 6*i - 28/5.
-2*(i + 1)*(i + 14)/5
Determine v, given that -10*v**2 - 106*v + 168 = 0.
-12, 7/5
Factor 2*l**2/3 + 62*l/3 + 160.
2*(l + 15)*(l + 16)/3
Find k, given that -k**3/5 + 6*k**2 - 23*k/5 - 174/5 = 0.
-2, 3, 29
Solve 2*x**4/3 - 76*x**3/3 + 64*x**2/3 + 364*x/3 + 74 = 0 for x.
-1, 3, 37
Factor -m**3/6 - 7*m**2/3 + 590*m - 11100.
-(m - 30)**2*(m + 74)/6
Find n, given that n**2/3 - 38*n/3 - 13 = 0.
-1, 39
Find p such that -66*p**2/7 - 202*p/7 - 12/7 = 0.
-3, -2/33
Factor 18*g**4 - 618*g**3 + 800*g**2 - 264*g.
2*g*(g - 33)*(3*g - 2)**2
What is s in 5*s**3 + 80*s**2 + 145*s + 70 = 0?
-14, -1
Find r, given that r**3 + 107*r**2 + 1270*r - 2976 = 0.
-93, -16, 2
Factor -2*v**3/3 - 86*v**2/3 - 166*v/3 - 82/3.
-2*(v + 1)**2*(v + 41)/3
Let -2*o**2/15 + 656*o/15 - 53792/15 = 0. What is o?
164
Factor 5*f**3 - 2455*f**2 + 302575*f - 300125.
5*(f - 245)**2*(f - 1)
Solve 2*p**3/7 - 1154*p**2/7 + 163542*p/7 + 846810/7 = 0 for p.
-5, 291
Factor -n**4/2 + 7*n**3 + 45*n**2/2 - 225*n.
-n*(n - 15)*(n - 5)*(n + 6)/2
Factor c**3/3 - 16*c**2/3 + 5*c.
c*(c - 15)*(c - 1)/3
Factor 9*g**3 + 543*g**2 + 1719*g + 513.
3*(g + 3)*(g + 57)*(3*g + 1)
Solve 5*n**2/4 + 145*n/4 + 135/2 = 0.
-27, -2
Solve -4*s**5/9 - 2*s**4/3 + 200*s**3/9 - 10*s**2 - 196*s/9 + 32/3 = 0 for s.
-8, -1, 1/2, 1, 6
What is n in 5*n**4 + 25*n**3 + 25*n**2 - 25*n - 30 = 0?
-3, -2, -1, 1
Suppose -18*y**5/7 - 402*y**4 - 3698*y**3/7 + 3406*y**2/7 - 620*y/7 = 0. What is y?
-155, -2, 0, 1/3
Find t, given that 3*t**2/7 - 3*t/7 - 6/7 = 0.
-1, 2
Find y such that 3*y**2 + 75*y = 0.
-25, 0
Factor -5*v**2 - 8070*v - 3256245.
-5*(v + 807)**2
Factor 2*r**2/5 + 464*r/5 - 936/5.
2*(r - 2)*(r + 234)/5
Factor -4*x**4 + 28*x**3 - 64*x**2 + 48*x.
-4*x*(x - 3)*(x - 2)**2
Factor 35*g**3 + 1495*g**2 - 1970*g + 440.
5*(g - 1)*(g + 44)*(7*g - 2)
Factor -2*k**3 + 2*k.
-2*k*(k - 1)*(k + 1)
Solve 16*x**4/3 + 28*x**3 + 68*x**2/3 - 44*x - 12 = 0 for x.
-3, -1/4, 1
Factor 4*h**2 + 52*h - 672.
4*(h - 8)*(h + 21)
Solve -158*s**4 - 4*s**3 + 474*s**2 - 304*s - 8 = 0.
-2, -2/79, 1
Solve m**2/3 - 280*m/3 + 556/3 = 0.
2, 278
Factor -4*n**2/5 - 168*n/5 + 352/5.
-4*(n - 2)*(n + 44)/5
Factor -5*c**2 - 270*c + 275.
-5*(c - 1)*(c + 55)
Determine u so that u**3/4 + 17*u**2/4 + 15*u/2 = 0.
-15, -2, 0
Solve 25*h**2/4 + 17*h/2 - 42 = 0.
-84/25, 2
Factor l**2 + 22*l + 96.
(l + 6)*(l + 16)
Factor 2*r**5 + 46*r**4 + 44*r**3.
2*r**3*(r + 1)*(r + 22)
Let -10*j**5 + 5*j**4 + 120*j**3 + 100*j**2 - 80*j = 0. What is j?
-2, 0, 1/2, 4
Solve -3*v**3/5 + 21*v**2 - 588*v/5 = 0 for v.
0, 7, 28
Factor -5*p**4 - 115*p**3 + 4275*p**2 + 149815*p + 1166030.
-5*(p - 34)*(p + 19)**3
Suppose 20*n**4 - 140*n**3 + 325*n**2 - 250*n = 0. What is n?
0, 2, 5/2
Suppose -z**2/3 + 626*z/3 - 97969/3 = 0. Calculate z.
313
Factor 2*o**3/21 + 96*o**2/7 + 190*o/7 + 284/21.
2*(o + 1)**2*(o + 142)/21
Factor 4*x**4 + 140*x**3 - 152*x**2 - 288*x.
4*x*(x - 2)*(x + 1)*(x + 36)
Factor 2*w**4/3 - 416*w**3.
2*w**3*(w - 624)/3
Factor 2*n**5/5 - 12*n**3/5 + 16*n**2/5 - 6*n/5.
2*n*(n - 1)**3*(n + 3)/5
Factor 3*z**5 - 18*z**4 - 84*z**3 + 168*z**2 + 864*z + 768.
3*(z - 8)*(z - 4)*(z + 2)**3
Let -25*t**3/6 + 23*t**2/3 + 4*t/3 = 0. Calculate t.
-4/25, 0, 2
Determine x so that -2*x**3 - 12*x**2 = 0.
-6, 0
Factor 4*o**2/9 - 2120*o/9.
4*o*(o - 530)/9
Let o**5 - 89*o**4 + 2024*o**3 - 1936*o**2 = 0. What is o?
0, 1, 44
Factor -b**2 - 170*b - 7225.
-(b + 85)**2
Factor -4*i**4/7 + 64*i**3/7 - 256*i**2/7.
-4*i**2*(i - 8)**2/7
Factor -10*b**4/17 - 4*b**3/17.
-2*b**3*(5*b + 2)/17
Find t, given that -25*t**4 - 1160*t**3 - 435*t**2 + 1160*t + 460 = 0.
-46, -1, -2/5, 1
Factor 3*x**5 - 12*x**4 + 12*x**3 + 6*x**2 - 15*x + 6.
3*(x - 2)*(x - 1)**3*(x + 1)
Solve 5*c**4 + 270*c**3 + 5265*c**2 + 43740*c + 131220 = 0 for c.
-18, -9
Factor -2*k**4/5 + 2*k**3 + 56*k**2/5 - 64*k/5.
-2*k*(k - 8)*(k - 1)*(k + 4)/5
Suppose 3*s**4/5 + 264*s**3/5 + 6066*s**2/5 + 11352*s/5 + 5547/5 = 0. Calculate s.
-43, -1
Determine c, given that 2*c**4 - 14*c**3 + 12*c**2 = 0.
0, 1, 6
Find b such that b**2/8 - 11*b/8 = 0.
0, 11
Factor f**2/2 + 49*f/2 - 78.
(f - 3)*(f + 52)/2
Factor -87*z**5/2 + 267*z**4/2 - 279*z**3/2 + 105*z**2/2 - 3*z.
-3*z*(z - 1)**3*(29*z - 2)/2
Factor 2*z**4 - 40*z**3 + 36*z**2 + 40*z - 38.
2*(z - 19)*(z - 1)**2*(z + 1)
Factor -4*f**5 + 20*f**4 + 24*f**3.