s**4 - 108*s**3 - 404*s**2 + 810*s + 3150 = 0.
-5, -3, 3, 7
Let -2*l**2/7 - 16*l - 1230/7 = 0. Calculate l.
-41, -15
Factor -5*k**4 - 225*k**3 + 240*k**2 + 460*k.
-5*k*(k - 2)*(k + 1)*(k + 46)
Let -4*i**4 + 24*i**3 - 32*i**2 - 24*i + 36 = 0. Calculate i.
-1, 1, 3
Factor -h**4/2 - 7*h**3/2 + 22*h**2.
-h**2*(h - 4)*(h + 11)/2
Suppose -2*g**3 + 270*g**2/7 + 2472*g/7 - 104 = 0. Calculate g.
-7, 2/7, 26
Factor 3*f**3 + 13392*f**2 + 19927296*f + 9883938816.
3*(f + 1488)**3
Let -2*x**2 - 112*x - 110 = 0. What is x?
-55, -1
Determine o so that -3*o**2 - 654*o - 35643 = 0.
-109
What is n in 4*n**3 - 64*n**2 + 212*n + 280 = 0?
-1, 7, 10
Factor y**4 - 79*y**3 + 2059*y**2 - 17661*y.
y*(y - 29)**2*(y - 21)
Find f such that -2*f**2 + 32*f + 594 = 0.
-11, 27
Factor -4*v**3/3 - 12*v**2 + 4*v/3 + 12.
-4*(v - 1)*(v + 1)*(v + 9)/3
Factor -2*v**4 - 54*v**3 + 2*v**2 + 54*v.
-2*v*(v - 1)*(v + 1)*(v + 27)
Let 27*d**5 - 180*d**4 + 435*d**3 - 450*d**2 + 180*d - 24 = 0. What is d?
1/3, 2
Factor -2*c**2/7 + 18*c/7 + 20.
-2*(c - 14)*(c + 5)/7
Factor -2*b**2 - 90*b - 88.
-2*(b + 1)*(b + 44)
Factor s**4 - 7*s**3 - 129*s**2 - 233*s - 112.
(s - 16)*(s + 1)**2*(s + 7)
Let -2*z**3 + 2*z = 0. What is z?
-1, 0, 1
Find p such that -2*p**5/3 + 16*p**4/3 - 4*p**3 - 80*p**2/3 - 50*p/3 = 0.
-1, 0, 5
Suppose 5*j**4 + 35*j**3 + 75*j**2 + 65*j + 20 = 0. What is j?
-4, -1
Find q, given that -2*q**5/7 - 4*q**4/7 + 12*q**3/7 + 40*q**2/7 + 38*q/7 + 12/7 = 0.
-2, -1, 3
Factor -60706*u**2/5 + 12142*u - 4/5.
-2*(u - 1)*(30353*u - 2)/5
Let 14*d**4/3 + 2*d**3/3 - 98*d**2/3 - 98*d/3 - 4 = 0. What is d?
-2, -1, -1/7, 3
Solve -140*o**4 - 12805*o**3 - 18310*o**2 + 12580*o - 1800 = 0.
-90, -2, 1/4, 2/7
Factor 2187*f**5 + 8019*f**4 - 65772*f**3 + 76272*f**2 - 32064*f + 4608.
3*(f - 3)*(f + 8)*(9*f - 4)**3
Find j such that j**5/4 - 39*j**4/4 + 199*j**3/2 - 161*j**2/2 - 399*j/4 + 361/4 = 0.
-1, 1, 19
What is z in -3*z**5 + 106*z**4 - 406*z**3/3 - 24*z**2 + 45*z + 34/3 = 0?
-1/3, 1, 34
Factor 4*x**4 + 16*x**3 - 108*x**2 + 152*x - 64.
4*(x - 2)*(x - 1)**2*(x + 8)
Factor -27*x**4/4 + 207*x**3/4 + 78*x**2 + 27*x.
-3*x*(x - 9)*(3*x + 2)**2/4
Let 2*b**3/15 - 6*b**2/5 - 12*b = 0. Calculate b.
-6, 0, 15
Solve 5*y**5 + 30*y**4 + 60*y**3 + 40*y**2 = 0 for y.
-2, 0
Factor -4*w**2 - 64*w + 2048.
-4*(w - 16)*(w + 32)
Find n, given that 4*n**4 + 16*n**3 + 12*n**2 - 16*n - 16 = 0.
-2, -1, 1
Factor -2*t**3 - 54*t**2 + 60*t + 112.
-2*(t - 2)*(t + 1)*(t + 28)
Solve -6*h**2 - 789*h + 396 = 0 for h.
-132, 1/2
Factor -2*t**4/17 - 72*t**3/17 - 572*t**2/17 + 1368*t/17 - 722/17.
-2*(t - 1)**2*(t + 19)**2/17
Factor -5*y**3 - 2805*y**2 - 397575*y - 1167615.
-5*(y + 3)*(y + 279)**2
Let -5*y**5 - 30*y**4 + 160*y**2 = 0. What is y?
-4, 0, 2
Let 3*b**3 - 27*b**2 - 156*b = 0. Calculate b.
-4, 0, 13
Solve 2*v**2/5 - 7992*v/5 + 7984008/5 = 0 for v.
1998
What is t in 562*t**2/7 - 4*t/7 = 0?
0, 2/281
Factor -4*y**2/5 - 72*y/5 - 324/5.
-4*(y + 9)**2/5
Solve -5*b**3 + 5*b**2 + 100*b = 0 for b.
-4, 0, 5
Factor -c**4/2 - 4*c**3 - 13*c**2/2 - 3*c.
-c*(c + 1)**2*(c + 6)/2
Factor 2*s**2 + 3426*s.
2*s*(s + 1713)
Factor -2*t**2 + 34*t - 140.
-2*(t - 10)*(t - 7)
Factor 3*y**5 - 12*y**4 + 9*y**3 + 12*y**2 - 12*y.
3*y*(y - 2)**2*(y - 1)*(y + 1)
Solve 4*x**5/3 + 8*x**4/3 - 208*x**3/3 - 392*x**2/3 + 196*x = 0 for x.
-7, -3, 0, 1, 7
Solve 2*r**4 - 34*r**3 + 126*r**2 + 162*r = 0.
-1, 0, 9
Factor k**2/5 + 2184*k/5 + 1192464/5.
(k + 1092)**2/5
Let 3*u**2 - 42*u - 153 = 0. What is u?
-3, 17
Suppose -3*u**3/4 - 855*u**2/4 + 861*u/2 = 0. Calculate u.
-287, 0, 2
Solve -2*h**3/7 + 96*h**2/7 - 186*h/7 + 92/7 = 0.
1, 46
Factor 10*o**4 + 144*o**3 + 282*o**2/5 + 28*o/5.
2*o*(o + 14)*(5*o + 1)**2/5
Find x such that x**5/3 + 7*x**4/3 + 14*x**3/3 + 8*x**2/3 = 0.
-4, -2, -1, 0
What is c in 3*c**2 - 54*c + 135 = 0?
3, 15
Determine b, given that 21*b**5/8 + 1767*b**4/4 + 11445*b**3/8 + 1239*b**2 + 495*b/2 = 0.
-165, -2, -1, -2/7, 0
Factor 2*j**4/11 - 10*j**3/11 - 16*j**2 - 416*j/11.
2*j*(j - 13)*(j + 4)**2/11
Suppose 5*r**2 + 30*r + 45 = 0. Calculate r.
-3
What is k in -15*k**4 - 70*k**3 - 55*k**2 + 80*k + 60 = 0?
-3, -2, -2/3, 1
Determine h so that 65*h**2 + 1480*h - 345 = 0.
-23, 3/13
Factor -6*q**2/5 - 1596*q/5 + 1602/5.
-6*(q - 1)*(q + 267)/5
Solve -b**3/5 - 13*b**2/5 = 0.
-13, 0
What is x in -x**4/5 - 106*x**3/5 - 312*x**2/5 - 62*x - 103/5 = 0?
-103, -1
Factor 3*k**2/8 + 33*k/8 - 207/2.
3*(k - 12)*(k + 23)/8
Determine v, given that -12*v**4 + 124*v**3 - 416*v**2 + 560*v - 256 = 0.
1, 2, 16/3
Factor -d**2/5 - 31*d/5 - 58/5.
-(d + 2)*(d + 29)/5
Solve g**4 + 4*g**3 - 2*g**2 - 12*g + 9 = 0.
-3, 1
Factor -2*u**2/15 - 16*u/15 + 26/3.
-2*(u - 5)*(u + 13)/15
Solve -180*v**4 - 632*v**3 - 804*v**2 - 432*v - 80 = 0 for v.
-10/9, -1, -2/5
What is r in 4*r**4 + 164*r**3 + 1992*r**2 + 5616*r - 7776 = 0?
-18, -6, 1
Let s**2 - 8*s = 0. Calculate s.
0, 8
What is f in 3*f**5 + 21*f**4 + 39*f**3 + 3*f**2 - 42*f - 24 = 0?
-4, -2, -1, 1
Factor y**5/2 + 3*y**4/2 - 3*y**3 - 4*y**2.
y**2*(y - 2)*(y + 1)*(y + 4)/2
Suppose 5*z**3/3 + 5*z**2 - 5*z/3 - 5 = 0. What is z?
-3, -1, 1
Determine d so that 66603*d**3 + 67497*d**2 + 897*d + 3 = 0.
-1, -1/149
Determine h so that 5*h**5 - 20*h**4 - 40*h**3 + 70*h**2 + 35*h - 50 = 0.
-2, -1, 1, 5
Let -2*f**2 - 650*f = 0. Calculate f.
-325, 0
Find m such that 10*m**5/9 + 26*m**4/9 - 4*m**3/3 - 40*m**2/9 + 16*m/9 = 0.
-2, 0, 2/5, 1
Factor -f**3 + 5*f**2 + 13*f + 7.
-(f - 7)*(f + 1)**2
Solve 4*m**2 - 4512*m + 1272384 = 0.
564
Suppose -s**4 - 3*s**3 + 3*s**2 + 7*s - 6 = 0. What is s?
-3, -2, 1
Suppose l**4 + 4*l**3 - 18*l**2 - 108*l - 135 = 0. What is l?
-3, 5
Factor 5*f**2 + 160*f + 155.
5*(f + 1)*(f + 31)
Let -2*v**3/9 - 202*v**2/9 - 782*v/9 - 194/3 = 0. Calculate v.
-97, -3, -1
Let -4*i**3 + 4848*i**2 + 9708*i + 4856 = 0. What is i?
-1, 1214
Factor -6*f**2 + 33*f + 18.
-3*(f - 6)*(2*f + 1)
Solve 722*s**2/3 - 76*s + 6 = 0 for s.
3/19
Solve -25*w**4 - 65*w**3 + 55*w**2 + 65*w - 30 = 0.
-3, -1, 2/5, 1
Factor 2425*u**3/4 + 895*u**2/2 + 67*u - 6.
(5*u + 2)**2*(97*u - 6)/4
Find p, given that -3*p**3 + 216*p**2 - 2880*p + 10752 = 0.
8, 56
Factor g**4 + 61*g**3 + 386*g**2 + 416*g - 864.
(g - 1)*(g + 4)**2*(g + 54)
Determine u so that 4*u**3/3 - 124*u**2/3 - 16*u/3 + 496/3 = 0.
-2, 2, 31
Determine l so that 3*l**4 + 30*l**3 + 108*l**2 + 162*l + 81 = 0.
-3, -1
Find k such that -3*k**2 - 24*k + 27 = 0.
-9, 1
Solve -w**5/3 - 48*w**4 + 2*w**3 + 872*w**2/3 + 385*w + 144 = 0 for w.
-144, -1, 3
Let -2*m**5/3 - 22*m**4/3 + 134*m**3/3 + 142*m**2/3 - 324*m + 240 = 0. What is m?
-15, -3, 1, 2, 4
Determine h, given that -2*h**5/13 - 6*h**4/13 + 2*h**3/13 + 22*h**2/13 + 24*h/13 + 8/13 = 0.
-2, -1, 2
Find r, given that 4*r**2 - 48*r + 44 = 0.
1, 11
Factor 5*q**3 + 205*q**2 + 1795*q + 1595.
5*(q + 1)*(q + 11)*(q + 29)
Factor 3*d**4/5 - 39*d**3/5 + 96*d**2/5 - 12*d.
3*d*(d - 10)*(d - 2)*(d - 1)/5
Factor 5*l**4 - 10*l**3 - 40*l**2 + 90*l - 45.
5*(l - 3)*(l - 1)**2*(l + 3)
Factor -5*a**2/2 + 12375*a/2 - 6185.
-5*(a - 2474)*(a - 1)/2
Let -2*l**5/9 + 4*l**3/9 - 2*l/9 = 0. Calculate l.
-1, 0, 1
What is u in -2*u**2/3 - 148*u/3 - 2738/3 = 0?
-37
Solve -3*k**5 - 2*k**4 + 15*k**3 + 10*k**2 - 12*k - 8 = 0.
-2, -1, -2/3, 1, 2
Factor 3*k**3 + 1728*k**2 + 247095*k - 501126.
3*(k - 2)*(k + 289)**2
Let 2*z**4/9 + 16*z**3/3 + 332*z**2/9 + 176*z/3 + 242/9 = 0. What is z?
-11, -1
Suppose z**2 - 41*z - 450 = 0. Calculate z.
-9, 50
Factor 3*z**3/5 - 322*z**2/5 + 737*z/5 - 42.
(z - 105)*(z - 2)*(3*z - 1)/5
Factor 2*p**3 - 288*p**2 + 13824*p - 221184.
2*(p - 48)**3
Suppose -20*k**4 - 84*k**3 - 36*k**2 + 116*k + 24 = 0. What is k?
-3, -2, -1/5, 1
Solve 5*i**2 - 85*i = 0.
0, 17
Factor -l**3/4 - 7*l**2/2 - 16*l - 24.
-(l + 4)**2*(l + 6)/4
Find l such that -2*l**3/11 - 582*l**2/11 + 2360*l/11 = 0.
-295, 0, 4
Factor 3*v**2/5 - 957*v/5 - 192.
3*(v - 320)*(v + 1)/5
Factor 3*x**3/2 + 62*x**2 + 1239*x/2 - 441.
(x + 21)**2*(3*x - 2)/2
Solve 2*b**4/5 + 32*b**3/5 + 126*b**2/5 - 32*b/5 - 128/5 = 0 for b.
-8, -1, 1
Determine d, given that -2*d**3/5 - 10*d**2 - 92*d/5 = 0.
-23, -2, 0
Suppose -51*f**2/2 + 513*f/4 - 15/4 = 0. Calculate f.
1/34, 5
Factor -m**2 + 28*m + 288.
-(m - 36)*(m + 8)
Factor h**2/3 - 616*h/3 + 94864/3.
(h - 308)**2/3
Factor y**2/5 + 63*y + 314/5.
(y + 1)*(y + 314)/5
Suppose 3*s**5/2 + 129