lve -2*u**3 + 196*u**2 - 2450*u + 8232 = 0.
7, 84
Factor -6*g**2/7 - 186*g/7 + 612/7.
-6*(g - 3)*(g + 34)/7
Factor 3*w**3/4 - 39*w**2/2 + 147*w/4 - 18.
3*(w - 24)*(w - 1)**2/4
Factor 4*m**5/7 - 20*m**4/7 + 40*m**3/7 - 40*m**2/7 + 20*m/7 - 4/7.
4*(m - 1)**5/7
Factor -r**4/2 + 2*r**3.
-r**3*(r - 4)/2
Factor -4*d**2/3 + 20*d + 64/3.
-4*(d - 16)*(d + 1)/3
Determine t, given that -4*t**2 + 240*t - 684 = 0.
3, 57
Let 10*c**5/7 + 44*c**4/7 - 94*c**3/7 + 16*c**2/7 + 24*c/7 = 0. What is c?
-6, -2/5, 0, 1
Suppose q**2/3 - 14*q/3 + 13/3 = 0. Calculate q.
1, 13
Factor 51*n**4/2 - 1680*n**3 + 55143*n**2/2 + 3267*n.
3*n*(n - 33)**2*(17*n + 2)/2
Find n such that -3*n**4/5 - 3*n**3 + 72*n**2/5 = 0.
-8, 0, 3
Factor p**3 - 30*p**2 + 83*p - 54.
(p - 27)*(p - 2)*(p - 1)
Factor -3*a**2 + 324*a - 8748.
-3*(a - 54)**2
Factor -3*r**3 - 78*r**2 - 576*r - 864.
-3*(r + 2)*(r + 12)**2
Factor 2*s**2/9 - 2*s/3 - 4.
2*(s - 6)*(s + 3)/9
Solve x**3/8 + 483*x**2/4 + 77763*x/2 + 4173281 = 0.
-322
Find u, given that -80*u**4 + 280*u**3 + 155*u**2 + 20*u = 0.
-1/4, 0, 4
What is k in -4*k**2/7 + 3564*k/7 = 0?
0, 891
Determine z so that 14*z**4 - 118*z**3 + 230*z**2 - 162*z + 36 = 0.
3/7, 1, 6
What is j in -32*j**4/13 + 574*j**3/13 + 1316*j**2/13 + 80*j/13 = 0?
-2, -1/16, 0, 20
Determine z so that 3*z**3/4 - 9*z**2/4 + 3*z/2 = 0.
0, 1, 2
Determine z so that 5*z**2 - 7810*z = 0.
0, 1562
Let 2*t**3 - 24*t**2 - 86*t - 60 = 0. What is t?
-2, -1, 15
Factor 2*d**2 + 302*d + 888.
2*(d + 3)*(d + 148)
Factor 2*n**2/7 + 330*n/7 + 972/7.
2*(n + 3)*(n + 162)/7
Factor 5*h**2 - 135*h + 130.
5*(h - 26)*(h - 1)
What is d in 3*d**3 - 6*d**2 = 0?
0, 2
Factor 2*j**5/13 + 10*j**4/13 + 6*j**3/13 - 18*j**2/13.
2*j**2*(j - 1)*(j + 3)**2/13
Factor -2*m**5 + 2*m**4 + 102*m**3 - 298*m**2 + 292*m - 96.
-2*(m - 6)*(m - 1)**3*(m + 8)
Factor 3*k**5 - 3*k**3.
3*k**3*(k - 1)*(k + 1)
Factor -4*t**4 - 8*t**3 - 4*t**2.
-4*t**2*(t + 1)**2
Factor -2*q**3 + 30*q**2 + 108*q.
-2*q*(q - 18)*(q + 3)
Factor 4*q**3 + 1456*q**2 + 123328*q - 1696512.
4*(q - 12)*(q + 188)**2
Solve -2*m**4/5 + 12*m**3/5 - 2*m**2 = 0.
0, 1, 5
Factor 6*y**4 - 2*y**3 - 72*y**2 + 120*y - 32.
2*(y - 2)**2*(y + 4)*(3*y - 1)
Factor 5*o**3 + 40*o**2 + 65*o + 30.
5*(o + 1)**2*(o + 6)
Find p such that 3*p**2 + 174*p - 549 = 0.
-61, 3
What is c in -c**3/2 + 3*c**2 + 63*c/2 - 196 = 0?
-8, 7
Solve -5*h**2 + 9860*h = 0.
0, 1972
Factor 2*p**3/7 - 618*p**2/7 + 6864*p - 6776.
2*(p - 154)**2*(p - 1)/7
Determine c so that c**4/3 + 19*c**3/3 - c**2/3 - 19*c/3 = 0.
-19, -1, 0, 1
Factor 3*n**4 - 9*n**2 - 6*n.
3*n*(n - 2)*(n + 1)**2
Suppose 5*r**3 - 300*r**2 + 1135*r - 840 = 0. What is r?
1, 3, 56
Factor -4*y**3 - 12*y**2 + 16*y + 48.
-4*(y - 2)*(y + 2)*(y + 3)
Determine h, given that 5*h**5 - 205*h**4 + 945*h**3 - 1655*h**2 + 1270*h - 360 = 0.
1, 2, 36
Find t such that 5*t**4 - 550*t**3 + 14520*t**2 - 146410*t + 512435 = 0.
11, 77
Factor 5*i**4 - 10*i**2 + 5.
5*(i - 1)**2*(i + 1)**2
Factor 2*n**4 + 48*n**3 - 402*n**2 + 968*n - 744.
2*(n - 3)*(n - 2)**2*(n + 31)
Factor -12*l**3 - 16*l**2 + 16*l.
-4*l*(l + 2)*(3*l - 2)
Find s, given that -s**2 + 320*s - 25600 = 0.
160
Solve 7*g**5/5 - 34*g**4 + 601*g**3/5 + 1262*g**2 - 8708*g/5 + 392 = 0.
-5, 2/7, 1, 14
Factor -3*j**3 + 120*j**2 - 228*j.
-3*j*(j - 38)*(j - 2)
Factor -d**4 + 910*d**3 - 908*d**2 - 910*d + 909.
-(d - 909)*(d - 1)**2*(d + 1)
Find q, given that 2*q**2/9 + 242*q/9 + 6308/9 = 0.
-83, -38
Let -x**2 - 330*x - 27225 = 0. What is x?
-165
Factor 512*n**4 - 5696*n**3 + 22680*n**2 - 37179*n + 19683.
(n - 1)*(8*n - 27)**3
Factor 3*y**3 + 3*y**2 - 15*y + 9.
3*(y - 1)**2*(y + 3)
Factor 2*w**5/9 + 532*w**4/9 + 15664*w**3/3 + 1362412*w**2/9 - 1409938*w/9.
2*w*(w - 1)*(w + 89)**3/9
Determine a so that 2*a**3 - 14*a**2 - 3012*a + 3024 = 0.
-36, 1, 42
Determine a, given that 5*a**3/3 - 10*a**2/3 - 35*a/3 - 20/3 = 0.
-1, 4
Determine r so that -25*r**5 + 335*r**4 - 365*r**3 - 695*r**2 + 390*r + 360 = 0.
-1, -3/5, 1, 2, 12
Factor -2*t**2 - 18*t + 224.
-2*(t - 7)*(t + 16)
Factor -65*v**3 - 15*v**2 + 65*v + 15.
-5*(v - 1)*(v + 1)*(13*v + 3)
Find t, given that -t**4 - 142*t**3 - 5040*t**2 + 142*t + 5041 = 0.
-71, -1, 1
Solve -11*x**2/4 + 27*x - 63 = 0 for x.
42/11, 6
Solve -2*u**5/11 + 14*u**4/11 + 18*u**3/11 - 14*u**2/11 - 16*u/11 = 0.
-1, 0, 1, 8
What is l in -21*l**2 - 264*l + 117 = 0?
-13, 3/7
Factor j**5/3 + 5*j**4 + 86*j**3/3 + 78*j**2 + 99*j + 45.
(j + 1)*(j + 3)**3*(j + 5)/3
Solve 2*h**3 + 254*h**2 + 502*h + 250 = 0 for h.
-125, -1
Factor -32*n**5/3 - 80*n**4/3 - 22*n**3 - 20*n**2/3 - 2*n/3.
-2*n*(n + 1)**2*(4*n + 1)**2/3
Factor 3*i**5 + 30*i**4 + 36*i**3 - 216*i**2.
3*i**2*(i - 2)*(i + 6)**2
Factor -2*x**2/21 - 68*x/7 - 1734/7.
-2*(x + 51)**2/21
Factor 3*v**4 + 52*v**3/3 - 124*v**2 + 80*v/3.
v*(v - 4)*(v + 10)*(9*v - 2)/3
Find w such that 3*w**4/5 - 36*w**3/5 - 129*w**2/5 - 18*w = 0.
-2, -1, 0, 15
Factor -q**5 - 8*q**4 - 13*q**3 - 6*q**2.
-q**2*(q + 1)**2*(q + 6)
Factor 2*a**2/13 + 62*a/13 + 168/13.
2*(a + 3)*(a + 28)/13
Determine a so that -2*a**3/17 + 4944*a**2/17 - 3055392*a/17 = 0.
0, 1236
Determine h, given that 4*h**4 - 992*h**3 - 5028*h**2 - 8080*h - 4048 = 0.
-2, -1, 253
Factor -2*f**2 + 972*f - 118098.
-2*(f - 243)**2
Determine s so that -s**2/9 + 5*s - 416/9 = 0.
13, 32
What is h in h**2 - 34*h + 33 = 0?
1, 33
Factor -3*j**5/2 - 21*j**4/2 - 45*j**3/2 - 39*j**2/2 - 6*j.
-3*j*(j + 1)**3*(j + 4)/2
Determine z so that -3*z**4 + 1044*z**3/7 + 1371*z**2/7 + 306*z/7 = 0.
-1, -2/7, 0, 51
Determine f, given that -15*f**4 + 770*f**3 - 240*f**2 - 770*f + 255 = 0.
-1, 1/3, 1, 51
Let 3*c**5/5 + 36*c**4/5 + 87*c**3/5 - 102*c**2/5 - 216*c/5 + 192/5 = 0. What is c?
-8, -4, -2, 1
Factor u**4/2 - 5*u**3 + 29*u**2/2 - 16*u + 6.
(u - 6)*(u - 2)*(u - 1)**2/2
Factor 3*n**4 + 12*n**3 - 3*n**2 - 12*n.
3*n*(n - 1)*(n + 1)*(n + 4)
Let 3*s**2 + 27*s - 30 = 0. What is s?
-10, 1
Factor 2*m**4 - 1296*m**3 + 209952*m**2.
2*m**2*(m - 324)**2
Factor -12*c**3/7 - 156*c**2/7 - 21*c - 36/7.
-3*(c + 12)*(2*c + 1)**2/7
Factor 4*y**5 + 232*y**4 - 24*y**3 - 1424*y**2 - 1868*y - 696.
4*(y - 3)*(y + 1)**3*(y + 58)
Factor 5*v**2/6 - 335*v/3.
5*v*(v - 134)/6
Let 3*a**5 + 108*a**4 + 1257*a**3 + 4692*a**2 - 1260*a - 4800 = 0. What is a?
-16, -10, -1, 1
Factor -2*u**2 - 38*u - 140.
-2*(u + 5)*(u + 14)
Let 5*o**2 + 320*o + 1740 = 0. What is o?
-58, -6
Factor -18*p**2/5 - 48*p - 160.
-2*(3*p + 20)**2/5
Factor -h**4/4 + 41*h**3/4 - 35*h**2/4 - 197*h/4 - 30.
-(h - 40)*(h - 3)*(h + 1)**2/4
Let -h**2 - 630*h - 99225 = 0. What is h?
-315
What is v in 3*v**5 - 75*v**4 + 588*v**3 - 672*v**2 - 9984*v + 30720 = 0?
-4, 5, 8
Factor -115*w**2 - 1850*w - 160.
-5*(w + 16)*(23*w + 2)
Factor 2*v**4/15 + 8*v**3/5 + 36*v**2/5 + 72*v/5 + 54/5.
2*(v + 3)**4/15
Solve 2*n**3/9 - 184*n**2/9 = 0 for n.
0, 92
Factor -2*b**3/11 - 80*b**2/11 - 874*b/11 - 1444/11.
-2*(b + 2)*(b + 19)**2/11
Find g such that -57*g**4/8 + 117*g**3/4 - 309*g**2/8 + 18*g - 3/2 = 0.
2/19, 1, 2
Suppose 6*i**4 + 104*i**3/3 + 574*i**2/9 + 428*i/9 + 112/9 = 0. What is i?
-28/9, -1, -2/3
Factor -2*o**3/3 - 1562*o**2/3 + 6272*o/3 - 6280/3.
-2*(o - 2)**2*(o + 785)/3
Factor -s**3 + 395*s**2 - 392*s - 788.
-(s - 394)*(s - 2)*(s + 1)
Factor 54*r**3/13 - 120*r**2/13 + 56*r/13.
2*r*(3*r - 2)*(9*r - 14)/13
Factor n**2/2 - 4*n - 24.
(n - 12)*(n + 4)/2
Let 2*v**5 + 6*v**4 - 26*v**3 - 94*v**2 - 96*v - 32 = 0. Calculate v.
-4, -1, 4
Factor 5*z**4 - 85*z**3 + 190*z**2 + 280*z.
5*z*(z - 14)*(z - 4)*(z + 1)
Factor 11*y**2/3 - 112*y + 60.
(y - 30)*(11*y - 6)/3
Factor -n**2/2 - 31*n/2 + 16.
-(n - 1)*(n + 32)/2
Factor 5*w**3/2 - 155*w**2 + 295*w/2 + 305.
5*(w - 61)*(w - 2)*(w + 1)/2
Factor -185*j**4 - 10*j**3.
-5*j**3*(37*j + 2)
Suppose 5*n**3 + 2680*n**2 + 359120*n = 0. Calculate n.
-268, 0
Factor 92*d**2/5 - 12*d - 32/5.
4*(d - 1)*(23*d + 8)/5
Factor -3*g**3/2 - 1299*g**2/2 - 70632*g - 69984.
-3*(g + 1)*(g + 216)**2/2
Factor 2*r**3/5 - 44*r**2/5 + 134*r/5 + 36.
2*(r - 18)*(r - 5)*(r + 1)/5
Solve -y**2 - 3066*y - 2350089 = 0 for y.
-1533
Factor 4*r**3 + 52*r**2 + 48*r.
4*r*(r + 1)*(r + 12)
Solve -v**2/3 - 4*v/3 - 1 = 0.
-3, -1
Let 5*p**5 - 45*p**4 + 75*p**3 - 35*p**2 = 0. Calculate p.
0, 1, 7
Solve -3*r**5/2 - 45*r**4/2 - 69*r**3/2 + 117*r**2/2 = 0.
-13, -3, 0, 1
Determine d so that -3*d**3/8 + 15*d**2/4 + 183*d/8 - 105/4 = 0