2 + 312*y.
-3*y*(y - 26)*(y + 2)**2
Solve 5*s**3 + 30*s**2 - 160 = 0.
-4, 2
Factor -125*m**3 - 57325*m**2 - 6600880*m - 6543680.
-5*(m + 1)*(5*m + 1144)**2
Factor r**5/6 - 17*r**4/3 - 175*r**3/6 + 5000*r**2/3.
r**2*(r - 25)**2*(r + 16)/6
Let -3*x**3 - 72*x**2 - 177*x + 252 = 0. Calculate x.
-21, -4, 1
Factor m**2 + 356*m + 31684.
(m + 178)**2
Suppose -2*p**2 + 3506*p - 3504 = 0. Calculate p.
1, 1752
Factor -2*i**2/15 + 8*i + 248/15.
-2*(i - 62)*(i + 2)/15
Factor 3*f**2/5 + 141*f/5.
3*f*(f + 47)/5
Factor 2*u**4 + 4*u**3 - 14*u**2 + 8*u.
2*u*(u - 1)**2*(u + 4)
Factor -15*n**4 + 84*n**3 - 39*n**2 - 30*n.
-3*n*(n - 5)*(n - 1)*(5*n + 2)
Determine g so that 100*g**4 + 780*g**3 + 996*g**2 - 700*g - 1176 = 0.
-6, -7/5, 1
Solve 30*j**4 - 268*j**3 + 518*j**2 + 72*j - 72 = 0 for j.
-2/5, 1/3, 3, 6
Determine r, given that r**4 + 94*r**3 + 444*r**2 - 94*r - 445 = 0.
-89, -5, -1, 1
Suppose g**3 + 11*g**2 + 8*g - 20 = 0. Calculate g.
-10, -2, 1
What is k in 4*k**2 - 372*k + 368 = 0?
1, 92
Factor -4*m**2/3 + 476*m/3 + 160.
-4*(m - 120)*(m + 1)/3
Factor -4*q**2 - 780*q - 776.
-4*(q + 1)*(q + 194)
Factor 16*h**3 - 52*h**2 - 52*h + 16.
4*(h - 4)*(h + 1)*(4*h - 1)
What is v in -165*v**2 + 65*v + 30 = 0?
-3/11, 2/3
Solve 10*a**5/11 - 4*a**4/11 = 0.
0, 2/5
Solve 42*n**4 - 76*n**3 + 26*n**2 + 8*n = 0.
-4/21, 0, 1
Factor -4*m**3 - 1164*m**2 + 1168*m.
-4*m*(m - 1)*(m + 292)
Factor f**2/4 - 8*f.
f*(f - 32)/4
Factor -2*m**4 + 28*m**3 + 2*m**2 - 28*m.
-2*m*(m - 14)*(m - 1)*(m + 1)
Factor -4*u**2/7 + 4*u/7 + 24/7.
-4*(u - 3)*(u + 2)/7
Factor 2*c**4 + 2*c**3 - 6*c**2 - 10*c - 4.
2*(c - 2)*(c + 1)**3
Factor -g**5 - g**4 + 8*g**3 + 12*g**2.
-g**2*(g - 3)*(g + 2)**2
Find g, given that 2*g**2/5 + 172*g/5 - 144 = 0.
-90, 4
Determine v, given that 4*v**5 + 56*v**4 + 244*v**3 + 336*v**2 + 144*v = 0.
-6, -1, 0
Suppose 12*p**5 - 196*p**4 - 148*p**3 + 196*p**2 + 136*p = 0. Calculate p.
-1, -2/3, 0, 1, 17
What is y in 2*y**4/7 + 96*y**3/7 + 90*y**2/7 - 188*y/7 = 0?
-47, -2, 0, 1
Determine t so that 171*t**5/8 + 39*t**4/2 - 15*t**3/8 = 0.
-1, 0, 5/57
Solve -3*o**3 + 6096*o**2 - 3096768*o = 0.
0, 1016
Factor 3*g**5/7 - 54*g**4/7 - 765*g**3/7 - 300*g**2.
3*g**2*(g - 28)*(g + 5)**2/7
Factor s**2/8 + 61*s/4 + 189.
(s + 14)*(s + 108)/8
Let -5*z**2/4 + 145*z/4 + 825 = 0. Calculate z.
-15, 44
What is q in 4*q**5 + 684*q**4 - 4*q**3 - 684*q**2 = 0?
-171, -1, 0, 1
Factor -f**2/6 + 53*f/3 + 107/6.
-(f - 107)*(f + 1)/6
Determine m so that -m**4 - 2*m**3 + 4*m**2 + 8*m = 0.
-2, 0, 2
Let -4*s**5 + 832*s**4 - 2464*s**3 + 808*s**2 + 2468*s - 1640 = 0. Calculate s.
-1, 1, 2, 205
Determine p, given that p**3/2 + 27*p**2/2 - 60*p + 62 = 0.
-31, 2
Let -2*j**5 + 4*j**4 + 12*j**3 - 16*j**2 - 10*j + 12 = 0. Calculate j.
-2, -1, 1, 3
What is z in 3*z**4/2 - 87*z**3 + 1731*z**2/2 + 11484*z + 26136 = 0?
-4, 33
Solve 4*t**4/3 + 8*t**3 + 20*t**2/3 - 16*t = 0 for t.
-4, -3, 0, 1
Suppose -v**4 - 14*v**3 - 37*v**2 + 48*v + 180 = 0. What is v?
-10, -3, 2
Factor -4*j**2 - 184*j - 180.
-4*(j + 1)*(j + 45)
Let 2*j**2 - 2048 = 0. Calculate j.
-32, 32
Solve 2*n**3/9 - 34*n**2/9 - 928*n/9 - 1408/3 = 0.
-8, 33
What is a in 2*a**2/13 + 112*a/13 = 0?
-56, 0
Factor -2*d**2/7 + 5492*d/7 - 3770258/7.
-2*(d - 1373)**2/7
Factor -2*h**3/3 - 40*h**2/3 - 86*h - 180.
-2*(h + 5)*(h + 6)*(h + 9)/3
Factor -5*m**3 - 880*m**2 - 38720*m.
-5*m*(m + 88)**2
What is q in q**2 + 2484*q - 4972 = 0?
-2486, 2
Solve -3*j**5 + 3*j**4 + 9*j**3 - 3*j**2 - 6*j = 0 for j.
-1, 0, 1, 2
Suppose -b**4/5 + 24*b**3/5 - 84*b**2/5 + 16*b = 0. Calculate b.
0, 2, 20
Factor -2*y**2/3 + 362*y - 1084/3.
-2*(y - 542)*(y - 1)/3
Find y, given that y**5/2 - 15*y**3/2 + 5*y**2 + 12*y = 0.
-4, -1, 0, 2, 3
Factor 2*n**2 + 332*n + 13778.
2*(n + 83)**2
Factor w**2/7 - 48*w/7 + 495/7.
(w - 33)*(w - 15)/7
Find y, given that 4*y**4 - 16*y**3 + 12*y**2 + 16*y - 16 = 0.
-1, 1, 2
Factor n**3/8 - 9*n**2/8 - 11*n/4.
n*(n - 11)*(n + 2)/8
Suppose 3*l**3 + 57*l**2 + 105*l + 51 = 0. What is l?
-17, -1
Let 3*z**2/8 - 135*z/8 + 33/2 = 0. What is z?
1, 44
Solve -16*o**4/5 + 1596*o**3/5 - 16672*o**2/5 + 2244*o + 3872/5 = 0.
-1/4, 1, 11, 88
Solve 5*j**3/3 - 20*j**2 + 80*j - 320/3 = 0 for j.
4
Let l**4 - 3*l**3 - 37*l**2 - 33*l + 72 = 0. What is l?
-3, 1, 8
Solve g**4 + 113*g**3/7 + 303*g**2/7 + 223*g/7 + 26/7 = 0.
-13, -2, -1, -1/7
Determine r so that 5*r**4 + 235*r**3 + 225*r**2 - 235*r - 230 = 0.
-46, -1, 1
Factor y**2 - 97*y.
y*(y - 97)
Let -5*w**4/4 - 75*w**3/2 - 320*w**2 - 1365*w/2 + 4165/4 = 0. Calculate w.
-17, -7, 1
Let -3*k**2/7 + 156*k/7 = 0. What is k?
0, 52
Factor 4*v**2 - 13408*v.
4*v*(v - 3352)
Factor -4*r**2/3 - 280*r/3 - 732.
-4*(r + 9)*(r + 61)/3
Factor 2*a**2 + 32*a + 56.
2*(a + 2)*(a + 14)
Factor 15*r**4 + 245*r**3 + 305*r**2 + 75*r.
5*r*(r + 1)*(r + 15)*(3*r + 1)
Determine d so that 6*d**4/5 - 2*d**3 - 2*d**2 + 2*d + 4/5 = 0.
-1, -1/3, 1, 2
Determine d so that 75*d**4 - 1515*d**3 + 252*d**2 + 948*d + 240 = 0.
-2/5, 1, 20
Factor 3*d**2 + 18*d - 165.
3*(d - 5)*(d + 11)
What is u in 2*u**5/15 + 14*u**4/15 + 38*u**3/15 + 10*u**2/3 + 32*u/15 + 8/15 = 0?
-2, -1
Factor -3*m**5 - 66*m**4 - 120*m**3 + 6*m**2 + 123*m + 60.
-3*(m - 1)*(m + 1)**3*(m + 20)
Let -t**2 + 6*t - 8 = 0. What is t?
2, 4
Solve -n**4/2 - 50*n**3 = 0 for n.
-100, 0
Suppose 5*q**5 - 200*q**4 + 1060*q**3 - 1360*q**2 = 0. What is q?
0, 2, 4, 34
Suppose 2*o**4 - 434*o**3 - 6*o**2 + 1306*o - 868 = 0. What is o?
-2, 1, 217
Determine a, given that -16*a**5/3 + 40*a**4/3 + 671*a**3/3 + 298*a**2/3 - 277*a/3 + 40/3 = 0.
-5, -1, 1/4, 8
Factor -5*y**3 - 710*y**2 + 1435*y - 720.
-5*(y - 1)**2*(y + 144)
Factor 3*v**2 + 4002*v + 1334667.
3*(v + 667)**2
Factor -4*u**2/7 - 4*u - 48/7.
-4*(u + 3)*(u + 4)/7
Solve 3*r**5 + 522*r**4 + 30276*r**3 + 585336*r**2 = 0.
-58, 0
Factor 3*g**3 + 552*g**2 - 1116*g.
3*g*(g - 2)*(g + 186)
Factor -4*x**2 + 272*x - 528.
-4*(x - 66)*(x - 2)
Find z, given that 104*z**3/3 - 202*z**2/3 - 4*z = 0.
-3/52, 0, 2
Factor -5*w**3 + 560*w**2 - 545*w - 1110.
-5*(w - 111)*(w - 2)*(w + 1)
Factor -q**4/2 - 45*q**3 - 177*q**2/2 - 44*q.
-q*(q + 1)**2*(q + 88)/2
Find a such that -6*a**4/7 + 46*a**3/7 + 74*a**2/7 - 2*a - 36/7 = 0.
-1, 2/3, 9
Suppose -5*z**3 - 40*z**2 + 560*z - 1280 = 0. Calculate z.
-16, 4
Factor 2*f**3/9 - 32*f**2/9 + 56*f/9.
2*f*(f - 14)*(f - 2)/9
Find l such that -2*l**5/3 + 34*l**4/3 - 20*l**3/3 - 200*l**2/3 + 112*l/3 + 256/3 = 0.
-2, -1, 2, 16
Factor -2*h**4/3 + 28*h**3/3 + 110*h**2/3 - 1936*h/3.
-2*h*(h - 11)**2*(h + 8)/3
Factor 5*i**3/4 + 55*i**2/4.
5*i**2*(i + 11)/4
Let 16*r**3/5 - 2632*r**2/5 + 20557*r + 454276/5 = 0. Calculate r.
-4, 337/4
Let -763*l**3 + 3811*l**2/2 - 758*l - 2 = 0. Calculate l.
-2/763, 1/2, 2
Factor 2*a**3 - 6*a**2/5 - 24*a/5 - 8/5.
2*(a - 2)*(a + 1)*(5*a + 2)/5
Determine l so that -l**3/2 - 5*l**2/2 + 2*l + 10 = 0.
-5, -2, 2
Let -5*o**5 - 7*o**4 + 13*o**3 + 31*o**2 + 20*o + 4 = 0. Calculate o.
-1, -2/5, 2
Factor -3*g**3/2 + 261*g**2 + 1053*g/2 + 264.
-3*(g - 176)*(g + 1)**2/2
Factor -10*g**2 - 19426*g + 7772.
-2*(g + 1943)*(5*g - 2)
Factor -d**2/5 - 13*d/5 + 6.
-(d - 2)*(d + 15)/5
Factor w**3/3 - 35*w**2/3 + 22*w.
w*(w - 33)*(w - 2)/3
Factor -5*b**2 + 27560*b - 37977680.
-5*(b - 2756)**2
Find v, given that -9*v**4 + 84*v**3 - 165*v**2 - 150*v = 0.
-2/3, 0, 5
Factor -8*q**3 + 202*q**2 - 50*q.
-2*q*(q - 25)*(4*q - 1)
Solve -c**2/8 - 453*c/4 = 0 for c.
-906, 0
Factor -3*n**2/5 - 51*n/5.
-3*n*(n + 17)/5
What is i in -5*i**4 - 80*i**3 + 735*i**2 - 1570*i + 920 = 0?
-23, 1, 2, 4
Let -4*n**2 + 896*n - 50176 = 0. What is n?
112
Determine j, given that -j**2 - 49*j - 294 = 0.
-42, -7
Factor -4*n**2 + 4008*n - 1004004.
-4*(n - 501)**2
Factor -12*g**3 + 92*g**2 - 8*g - 480.
-4*(g - 3)*(g + 2)*(3*g - 20)
Factor 3*u**2/4 - 13*u/4 - 5/2.
(u - 5)*(3*u + 2)/4
Suppose 2*p**2 - 46*p + 44 = 0. Calculate p.
1, 22
Factor -3*x**4/7 - 128*x**3/7 - 12*x**2.
-x**2*(x + 42)*(3*x + 2)/7
Factor 7*i**2 - 2483*i - 710.
(i - 355)*(7*i + 2)
Solve 2*h**2/3 - 144*h - 438 = 0.
-3, 219
Solve -6*s**3/13 + 352*s**2/13 - 574*s/13 + 228/13 = 0.
2/3, 1, 57
Determine g so that g**5 + 2*g**4 - 12*g**3 - 8*g**2 + 32*g = 0.
-4, -2, 0, 2
What is i in 2*i**5/7 + 18*i**4/7 - 40*i**3/7 - 600*i**2/7 - 1312*i/7 - 768/7 = 0?
-8, -4, -2, -1, 6
Factor 8*l**4 + 20*l**3 - 16*l**2 - 48*l.
4*l*(l + 2)**2*(2*l - 3)
Suppo