5, -3
Factor -2*z**4 + 10*z**3 + 34*z**2 - 42*z.
-2*z*(z - 7)*(z - 1)*(z + 3)
What is g in -2*g**3/11 + 138*g**2/11 - 3174*g/11 + 24334/11 = 0?
23
Solve d**5/5 + 61*d**4/5 + 898*d**3/5 - 1022*d**2/5 - 899*d/5 + 961/5 = 0.
-31, -1, 1
Solve 50*p**5/23 + 370*p**4/23 + 642*p**3/23 + 214*p**2/23 + 20*p/23 = 0 for p.
-5, -2, -1/5, 0
Factor -v**5/11 + 9*v**4/11 - 30*v**3/11 + 46*v**2/11 - 3*v + 9/11.
-(v - 3)**2*(v - 1)**3/11
Let w**2/3 - 19*w/3 + 16 = 0. What is w?
3, 16
Factor -b**2/5 - 4*b/5 + 1.
-(b - 1)*(b + 5)/5
Factor 4*p**3 + 64*p**2 + 164*p - 616.
4*(p - 2)*(p + 7)*(p + 11)
Let -2*m**4/5 + 68*m**3 - 14106*m**2/5 - 5848*m - 14792/5 = 0. What is m?
-1, 86
Determine l so that 2*l**4/13 - 14*l**3/13 + 8*l**2/13 + 24*l/13 = 0.
-1, 0, 2, 6
Find b, given that -2*b**3/7 - 222*b**2/7 - 862*b/7 - 642/7 = 0.
-107, -3, -1
Factor c**2/6 - 17*c/6.
c*(c - 17)/6
Let 3*k**5 + 6*k**4 - 36*k**3 + 42*k**2 - 15*k = 0. What is k?
-5, 0, 1
Factor 4*b**3 - 12*b**2.
4*b**2*(b - 3)
Solve -36*i**4/5 - 72*i**3/5 - 32*i**2/5 + 8*i/5 + 4/5 = 0.
-1, -1/3, 1/3
Factor -b**4/4 - 619*b**3 - 765083*b**2/2 + 766941*b - 1535121/4.
-(b - 1)**2*(b + 1239)**2/4
Factor -b**4/8 + 289*b**3/2 + 2315*b**2/8 + 579*b/4.
-b*(b - 1158)*(b + 1)**2/8
Factor -15*l**4 - 35*l**3 + 15*l**2 + 35*l.
-5*l*(l - 1)*(l + 1)*(3*l + 7)
Factor m**5/5 - 12*m**4/5 - 3*m**3 + 278*m**2/5 + 828*m/5 + 648/5.
(m - 9)**2*(m + 2)**3/5
Solve 4*z**3 - 35904*z**2 + 107424768*z - 107138301952 = 0 for z.
2992
What is d in -2*d**3/11 - 56*d**2/11 - 414*d/11 - 360/11 = 0?
-15, -12, -1
Suppose -16*l**5 + 84*l**4 - 148*l**3 + 96*l**2 - 16*l = 0. Calculate l.
0, 1/4, 1, 2
Factor r**3/10 - 94*r**2/5 - 1783*r/10 + 197.
(r - 197)*(r - 1)*(r + 10)/10
Solve 21*k**5 - 90*k**4 + 66*k**3 + 72*k**2 - 87*k + 18 = 0.
-1, 2/7, 1, 3
Factor -3*u**4 - 81*u**3 + 9*u**2 + 237*u - 162.
-3*(u - 1)**2*(u + 2)*(u + 27)
Factor -5*g**4 - 75*g**3 - 405*g**2 - 925*g - 750.
-5*(g + 2)*(g + 3)*(g + 5)**2
What is a in 3*a**2 + 954*a - 4845 = 0?
-323, 5
Factor -4*o**5 - 43*o**4 + 167*o**3 - 203*o**2 + 97*o - 14.
-(o - 1)**3*(o + 14)*(4*o - 1)
Find n, given that 2*n**4/5 - n**3 - 8*n**2/5 + 17*n/5 - 6/5 = 0.
-2, 1/2, 1, 3
Factor -2*s**2 - 25472*s - 81102848.
-2*(s + 6368)**2
Solve u**5/8 + 3*u**4/8 - 19*u**3/4 + 3*u**2 + 8*u = 0 for u.
-8, -1, 0, 2, 4
Suppose 5*w**2 - 130*w = 0. Calculate w.
0, 26
Factor n**2 + 5842*n + 8532241.
(n + 2921)**2
Factor -2*o**4 + 270*o**3 + 822*o**2 + 826*o + 276.
-2*(o - 138)*(o + 1)**3
Let -14*r**2/3 - 1312*r/3 + 376/3 = 0. Calculate r.
-94, 2/7
Let 2*z**2/21 + 536*z/21 + 152/3 = 0. What is z?
-266, -2
Let -32*z**5/9 + 400*z**4/9 - 866*z**3/9 + 680*z**2/9 - 202*z/9 + 20/9 = 0. What is z?
1/4, 1, 10
Factor l**2/5 + 158*l/5 + 6241/5.
(l + 79)**2/5
Let 2*v**3 + 210*v**2 + 7350*v + 85750 = 0. Calculate v.
-35
Factor 4*v**2 + 5968*v + 5964.
4*(v + 1)*(v + 1491)
Find k such that -4*k**5 - 24*k**4 - 36*k**3 + 16*k**2 + 48*k = 0.
-3, -2, 0, 1
Determine r, given that r**3 + 17*r**2 + 80*r + 64 = 0.
-8, -1
Find m such that 2*m**2/3 + 6*m - 44/3 = 0.
-11, 2
Determine v so that -4*v**2 + 236*v + 488 = 0.
-2, 61
What is b in -b**3 - 12*b**2 + 19*b + 78 = 0?
-13, -2, 3
Factor 18*s**5 - 7740*s**4 + 839760*s**3 - 4976800*s**2/3 + 3304160*s/3 - 732736/3.
2*(s - 214)**2*(3*s - 2)**3/3
Find r, given that r**3/2 - 7*r**2/2 - 41*r/2 - 33/2 = 0.
-3, -1, 11
Suppose -t**4 + 43*t**2 - 42*t = 0. Calculate t.
-7, 0, 1, 6
Find c, given that -c**2 - 72*c - 207 = 0.
-69, -3
Determine v so that v**5/3 + 14*v**4/3 - v**3/3 - 14*v**2/3 = 0.
-14, -1, 0, 1
Factor 2*v**2/7 + 804*v/7 + 80802/7.
2*(v + 201)**2/7
Factor 3*u**3 - 31665*u**2 + 83571849*u - 83540187.
3*(u - 5277)**2*(u - 1)
Factor 2*n**2/5 - 46*n + 452/5.
2*(n - 113)*(n - 2)/5
Factor 5*m**2 - 9*m + 4.
(m - 1)*(5*m - 4)
Factor 4*n**4/3 - 52*n**3/3 + 8*n**2 + 96*n.
4*n*(n - 12)*(n - 3)*(n + 2)/3
Solve 5*f**5/6 + 4*f**4/3 - 2*f**3 - 7*f**2/3 + 7*f/6 + 1 = 0 for f.
-2, -1, -3/5, 1
Let 2*h**3 - 30*h**2 - 192*h - 160 = 0. Calculate h.
-4, -1, 20
Suppose -2*q**4 - 14*q**3 + 348*q**2 - 936*q - 1296 = 0. Calculate q.
-18, -1, 6
Let -2*a**5/5 + 2*a**4/5 + 2*a**3 - 2*a**2 - 8*a/5 + 8/5 = 0. Calculate a.
-2, -1, 1, 2
Determine k so that -3*k**3/4 - 45*k**2/2 - 321*k/4 - 117/2 = 0.
-26, -3, -1
Factor -486*u**4/7 + 70*u**3 - 4*u**2/7.
-2*u**2*(u - 1)*(243*u - 2)/7
Suppose 3*q**3 - 972*q**2 + 104976*q - 3779136 = 0. What is q?
108
Factor -3*o**3/4 + 12*o**2 + 27*o.
-3*o*(o - 18)*(o + 2)/4
Factor 4*n**4 - 200*n**3 + 1300*n**2 + 30000*n + 90000.
4*(n - 30)**2*(n + 5)**2
Find n such that -27*n**3/4 + 630*n**2 + 1689*n/4 + 141/2 = 0.
-1/3, 94
Factor -121*y**4 + 385*y**3 - 309*y**2 + 47*y - 2.
-(y - 2)*(y - 1)*(11*y - 1)**2
Suppose 2*v**4/15 + 728*v**3/15 + 22324*v**2/5 + 131768*v/15 + 65522/15 = 0. Calculate v.
-181, -1
Factor 3*s**5 + 90*s**4 + 198*s**3 - 1164*s**2 + 1359*s - 486.
3*(s - 1)**3*(s + 6)*(s + 27)
Suppose -10*j**2/3 - 16*j/3 + 8/3 = 0. Calculate j.
-2, 2/5
Factor -i**2/9 - i/3 + 6.
-(i - 6)*(i + 9)/9
Determine s so that -2*s**4/9 - 16*s**3/9 - 22*s**2/9 + 16*s/9 + 8/3 = 0.
-6, -2, -1, 1
Find c, given that -4*c**4 + 528*c**3 - 22124*c**2 + 289872*c - 268272 = 0.
1, 23, 54
Solve s**4 + 12*s**3 + 37*s**2 + 42*s + 16 = 0 for s.
-8, -2, -1
Factor 2*h**4 + 104*h**3 + 1352*h**2.
2*h**2*(h + 26)**2
Factor 3*l**4/4 + 3*l**3/2 - 93*l**2/4 + 21*l.
3*l*(l - 4)*(l - 1)*(l + 7)/4
Suppose 4*r**5 - 28*r**3 + 8*r**2 + 48*r - 32 = 0. Calculate r.
-2, 1, 2
Solve -12*u**3 - 88*u**2 - 20*u + 56 = 0.
-7, -1, 2/3
Factor k**5 - 3*k**3 + 2*k**2.
k**2*(k - 1)**2*(k + 2)
Factor y**2/3 - 1093*y/3 + 2182/3.
(y - 1091)*(y - 2)/3
Factor 3*x**2/2 - 18*x + 30.
3*(x - 10)*(x - 2)/2
Factor -2*j**2/11 - 18*j/11 - 16/11.
-2*(j + 1)*(j + 8)/11
Factor w**2/3 - 31*w/3.
w*(w - 31)/3
Determine a so that 3*a**2/2 - 39*a + 507/2 = 0.
13
Determine a, given that -a**4/11 + 14*a**3/11 + a**2/11 - 14*a/11 = 0.
-1, 0, 1, 14
Factor 4*s**3 + 188*s**2 + 1848*s.
4*s*(s + 14)*(s + 33)
Factor 5*p**5/2 + 30*p**4 + 45*p**3/2 - 675*p**2 - 810*p + 4860.
5*(p - 3)**2*(p + 6)**3/2
Factor 236*n**3 + 1424*n**2/3 + 724*n/3 + 8/3.
4*(n + 1)**2*(177*n + 2)/3
Let 5*y**2 - 555*y + 550 = 0. Calculate y.
1, 110
Factor c**2/4 - 94*c - 189.
(c - 378)*(c + 2)/4
Factor a**3/3 - 14*a**2/3 - 32*a/3.
a*(a - 16)*(a + 2)/3
Factor z**2/8 + 65*z/2 + 4225/2.
(z + 130)**2/8
Factor -245*q**4/2 + 665*q**3 - 1385*q**2/2 - 570*q - 90.
-5*(q - 3)**2*(7*q + 2)**2/2
Find s such that -2*s**3 - 38*s**2 + 84*s = 0.
-21, 0, 2
Solve h**2 + 546*h + 74529 = 0 for h.
-273
Find q, given that -735*q**4/8 - 427*q**3/4 + 265*q**2/2 - 41*q + 4 = 0.
-2, 4/15, 2/7
Factor 5*y**2 + 55*y + 150.
5*(y + 5)*(y + 6)
Factor 2*h**3/3 + 28*h**2/3 + 80*h/3.
2*h*(h + 4)*(h + 10)/3
Suppose -6*p**5/11 - 124*p**4/11 + 6*p**3 + 496*p**2/11 - 168*p/11 = 0. Calculate p.
-21, -2, 0, 1/3, 2
Let -n**3/4 - n**2 + 11*n/4 + 15/2 = 0. Calculate n.
-5, -2, 3
Solve 3*g**5 + 33*g**4 + 9*g**3 - 393*g**2 + 168*g + 540 = 0 for g.
-9, -5, -1, 2
Suppose 4*v**3 + 420*v**2 - 448*v - 2544 = 0. Calculate v.
-106, -2, 3
Factor -5*d**3 + 250*d**2 - 685*d - 940.
-5*(d - 47)*(d - 4)*(d + 1)
Factor -4*s**3 + 76*s**2 - 140*s + 68.
-4*(s - 17)*(s - 1)**2
Solve -3*g**4/5 + 6*g**3/5 + 21*g**2/5 + 12*g/5 = 0 for g.
-1, 0, 4
Factor 55*j**5/3 + 4*j**4 - 4*j**3/3.
j**3*(5*j + 2)*(11*j - 2)/3
Factor -4*f**2 - 3376*f.
-4*f*(f + 844)
Find h such that 12*h**2/7 - 2000*h/7 - 668/7 = 0.
-1/3, 167
Let -a**2 - 60*a - 275 = 0. Calculate a.
-55, -5
Factor -2*m**2/11 - 20*m/11.
-2*m*(m + 10)/11
Let -u**2 + 324*u - 26244 = 0. Calculate u.
162
Determine f, given that -f**2 + 42*f + 235 = 0.
-5, 47
Factor -3*y**2 + 4824*y - 1939248.
-3*(y - 804)**2
Suppose g**2/4 - 307*g/4 - 309/2 = 0. Calculate g.
-2, 309
Determine l, given that -14*l**5/5 + 32*l**4/5 + 6*l**3/5 - 32*l**2/5 + 8*l/5 = 0.
-1, 0, 2/7, 1, 2
Find j such that 5*j**3 + 730*j**2 + 1445*j + 720 = 0.
-144, -1
Factor -3*a**4/2 - 144*a**3 + 918*a**2.
-3*a**2*(a - 6)*(a + 102)/2
Factor -2*h**3/5 - 138*h**2/5 + 282*h/5 - 142/5.
-2*(h - 1)**2*(h + 71)/5
Factor 75*u**4 + 1812*u**3 + 14688*u**2 + 40704*u + 6144.
3*(u + 8)**3*(25*u + 4)
Let -4*b**5 + 8*b**4 + 28*b**3 - 80*b**2 + 48*b = 0. What is b?
-3, 0, 1, 2
Let 2*n**5/9 + 10*n**4/3 - 50*n**3/3 + 50*n**2/9 + 76*n/3 = 0. Calculate n.
-19, -1, 0, 2, 3
Factor 3*