47*t**3/2 + 11907*t**2 - 378*t + 4.
-(63*t - 2)**3/2
Factor 18*f**4 + 72*f**3 + 96*f**2 + 160*f/3 + 32/3.
2*(f + 2)*(3*f + 2)**3/3
Factor q**3/12 - 10*q**2/3 - q/3 + 40/3.
(q - 40)*(q - 2)*(q + 2)/12
Factor 2*r**3 - 4*r**2 - 80*r - 128.
2*(r - 8)*(r + 2)*(r + 4)
Factor 4*f**3 + 26*f**2 + 26*f - 20.
2*(f + 2)*(f + 5)*(2*f - 1)
Factor y**2 - 3678*y - 3679.
(y - 3679)*(y + 1)
Factor 5*t**2 - 390*t + 7605.
5*(t - 39)**2
Find x, given that -5*x**5 - 1199*x**4/4 - 2199*x**3/4 + 3653*x**2/4 - 61*x/4 - 87/2 = 0.
-58, -3, -1/5, 1/4, 1
Factor -2*a**3 - 496*a**2 + 998*a - 500.
-2*(a - 1)**2*(a + 250)
Factor 10*w**4 + 285*w**3 + 2100*w**2 + 980*w.
5*w*(w + 14)**2*(2*w + 1)
Factor 76*s**4 + 78*s**3 + 2*s**2.
2*s**2*(s + 1)*(38*s + 1)
Factor -4*b**3/5 + 36*b**2/5 - 12*b + 28/5.
-4*(b - 7)*(b - 1)**2/5
Factor s**2/3 - 144*s - 435.
(s - 435)*(s + 3)/3
Let -2*x**5 - 818*x**4 - 85662*x**3 - 413702*x**2 - 573680*x - 244824 = 0. What is x?
-202, -3, -1
Find q such that -2*q**5/9 + 170*q**4/9 - 658*q**3/9 + 814*q**2/9 - 36*q = 0.
0, 1, 2, 81
Solve 5*t**3/2 - 34*t**2 + 86*t + 40 = 0 for t.
-2/5, 4, 10
Let 10*s**4/13 + 174*s**3/13 - 772*s**2/13 - 336*s/13 = 0. What is s?
-21, -2/5, 0, 4
Solve 2*w**2 - 2156*w + 581042 = 0 for w.
539
Factor 4*d**2 - 1472*d - 18240.
4*(d - 380)*(d + 12)
Suppose 12*d**2/7 - 927*d/7 + 33 = 0. Calculate d.
1/4, 77
What is z in -324*z**3/7 - 1332*z**2/7 - 145*z/7 - 4/7 = 0?
-4, -1/18
Factor n**4 + 582*n**3 + 84096*n**2 - 170528*n.
n*(n - 2)*(n + 292)**2
Let v**3/4 + 389*v**2/4 + 9310*v - 28812 = 0. Calculate v.
-196, 3
Factor -i**2/6 + 7*i/2 + 11/3.
-(i - 22)*(i + 1)/6
Factor u**3 + 35*u**2/3 - 97*u + 159.
(u - 3)**2*(3*u + 53)/3
Determine z, given that 4*z**2/3 - 160*z/3 - 164/3 = 0.
-1, 41
Let 5*g**3 + 805*g**2 + 15895*g + 84095 = 0. Calculate g.
-139, -11
Determine i so that 2*i**5/9 + 280*i**4/9 - 1600*i**3/3 + 29440*i**2/9 - 79360*i/9 + 26624/3 = 0.
-156, 4
Let -t**3/2 - 135*t**2/2 - 6075*t/2 - 91125/2 = 0. Calculate t.
-45
Solve -4*w**2/3 - 120*w + 736/3 = 0 for w.
-92, 2
Factor -4*y**2 + 40*y + 300.
-4*(y - 15)*(y + 5)
Let f**2 - 407*f + 810 = 0. Calculate f.
2, 405
Determine k so that -4*k**3 + 23908*k**2 - 35736480*k + 35712576 = 0.
1, 2988
Find n, given that 51*n**5 + 465*n**4 + 1380*n**3 + 1380*n**2 + 144*n = 0.
-4, -3, -2, -2/17, 0
Factor o**5/2 - 21*o**4/2 - 25*o**3/2 + 61*o**2/2 + 54*o + 22.
(o - 22)*(o - 2)*(o + 1)**3/2
Factor 2*x**3 + 44*x**2/7 - 2*x - 44/7.
2*(x - 1)*(x + 1)*(7*x + 22)/7
Factor 2*n**5 + 8*n**4 - 2*n**3 - 8*n**2.
2*n**2*(n - 1)*(n + 1)*(n + 4)
Find o, given that -5*o**5/4 - 65*o**4/4 + 145*o**3/4 - 75*o**2/4 = 0.
-15, 0, 1
Factor 3*w**3 - 129*w**2 + 126*w.
3*w*(w - 42)*(w - 1)
Suppose 15*u**2/4 - 241*u/4 + 4 = 0. What is u?
1/15, 16
Solve -2*x**4/3 - 1010*x**3/3 - 43006*x**2 - 380014*x/3 - 252004/3 = 0 for x.
-251, -2, -1
Factor 2*u**2 - 286*u.
2*u*(u - 143)
Let 2*o**3/9 + 4664*o**2/9 = 0. What is o?
-2332, 0
Find n, given that -66*n**5 - 202*n**4 + 54*n**3 + 202*n**2 + 12*n = 0.
-3, -1, -2/33, 0, 1
Factor -o**3/3 + 99*o**2 - 296*o/3.
-o*(o - 296)*(o - 1)/3
Factor -2*y**4/9 + 2*y**3/3 + 8*y**2/9.
-2*y**2*(y - 4)*(y + 1)/9
Factor -i**5 + 4*i**4 - 6*i**3 + 4*i**2 - i.
-i*(i - 1)**4
Factor 6*r**3/5 - 474*r**2/5.
6*r**2*(r - 79)/5
Solve -u**5/4 - 11*u**4/2 + 129*u**3/2 - 158*u**2 + 583*u/4 - 93/2 = 0 for u.
-31, 1, 6
Let g**4 - 55*g**3 + 726*g**2 + 896*g - 1568 = 0. Calculate g.
-2, 1, 28
Factor -4*d**2/9 + 176*d/9 + 368/9.
-4*(d - 46)*(d + 2)/9
Factor -9*a**3 - 434*a**2 - 5280*a - 1152.
-(a + 24)**2*(9*a + 2)
Determine z, given that -8*z**5 - 6*z**4 + 58*z**3 - 6*z**2 - 50*z + 12 = 0.
-3, -1, 1/4, 1, 2
Factor 2*s**2 + 718*s.
2*s*(s + 359)
What is o in 5*o**5 - 20*o**4 - 55*o**3 + 130*o**2 + 320*o + 160 = 0?
-2, -1, 4
Factor -2*k**2 + 38*k - 96.
-2*(k - 16)*(k - 3)
Factor -w**5/3 - 79*w**4 - 7344*w**3 - 332424*w**2 - 7243344*w - 59521392.
-(w + 21)*(w + 54)**4/3
Factor 21*q**4 + 180*q**3 + 423*q**2 + 120*q - 144.
3*(q + 1)*(q + 4)**2*(7*q - 3)
Suppose -4*l**4/7 - 4*l**3 + 468*l**2/7 - 1620*l/7 + 1728/7 = 0. Calculate l.
-16, 3
Factor -5*z**2/4 - 165*z/4 + 85/2.
-5*(z - 1)*(z + 34)/4
Determine g so that 2*g**3/3 + 26*g**2 = 0.
-39, 0
Factor 5*t**4 + 200*t**3 - 210*t**2 - 200*t + 205.
5*(t - 1)**2*(t + 1)*(t + 41)
Suppose 2*m**3/15 + 1868*m**2/15 - 2*m/15 - 1868/15 = 0. Calculate m.
-934, -1, 1
Suppose r**5/5 - 6*r**4/5 + 6*r**3/5 + 4*r**2 - 39*r/5 + 18/5 = 0. What is r?
-2, 1, 3
Determine k so that 14*k**5 + 10*k**4 - 88*k**3 + 24*k**2 = 0.
-3, 0, 2/7, 2
Solve -80*u**5 + 1000*u**4 - 1325*u**3 + 25*u**2 + 325*u + 55 = 0.
-1/4, 1, 11
Let 5*d**3/12 - 4217*d**2/12 + 221972*d/3 + 44521 = 0. What is d?
-3/5, 422
Suppose 5*f**3 - 65*f**2 - 780*f - 1260 = 0. Calculate f.
-6, -2, 21
Let -8*d**4/3 - 22*d**3/3 + 2*d**2 + 32*d/3 - 8/3 = 0. What is d?
-2, 1/4, 1
Find t such that 6*t**5/17 + 32*t**4/17 - 52*t**2/17 - 6*t/17 + 20/17 = 0.
-5, -1, 2/3, 1
Find z such that 3*z**3 + 2790*z**2 + 864900*z + 89373000 = 0.
-310
Let -4*u**3 + 64*u = 0. What is u?
-4, 0, 4
What is g in 4*g**2/3 + 128*g/3 - 44 = 0?
-33, 1
Factor -2*w**3/11 - 18*w**2/11 - 36*w/11.
-2*w*(w + 3)*(w + 6)/11
Factor -2*g**2/9 + 370*g/9.
-2*g*(g - 185)/9
Let 30*n**4 + 87*n**3 + 60*n**2 + 12*n = 0. Calculate n.
-2, -1/2, -2/5, 0
Find m, given that 5*m**2/2 + 65*m/2 = 0.
-13, 0
Let 2*f**2 + 22*f - 160 = 0. What is f?
-16, 5
Let 3*c**2 - 15*c - 18 = 0. What is c?
-1, 6
Factor -3*g**2 + 825*g + 1662.
-3*(g - 277)*(g + 2)
Factor -5*d**3 - 135*d**2.
-5*d**2*(d + 27)
Factor -y**5 - 2*y**4 + 5*y**3 + 6*y**2.
-y**2*(y - 2)*(y + 1)*(y + 3)
Factor 2*v**2 + 1100*v + 3282.
2*(v + 3)*(v + 547)
Factor c**3/7 - 781*c**2/7.
c**2*(c - 781)/7
Factor -3*w**3/2 - w**2.
-w**2*(3*w + 2)/2
Factor 3*f**2/7 - 81*f/7 + 54.
3*(f - 21)*(f - 6)/7
Factor -d**5/3 + d**4/3 + d**3 - 5*d**2/3 + 2*d/3.
-d*(d - 1)**3*(d + 2)/3
Factor 28*f**3 - 92*f**2 + 64*f.
4*f*(f - 1)*(7*f - 16)
Solve 2*q**3 - 42*q**2 + 240*q - 416 = 0 for q.
4, 13
Factor -2*g**2/5 + 144*g/5 - 2592/5.
-2*(g - 36)**2/5
Let 3*b**2/7 - 67*b/7 - 46/7 = 0. Calculate b.
-2/3, 23
What is b in -27*b**3/2 + 207*b**2 - 546*b - 2028 = 0?
-2, 26/3
Factor 36*m**5 - 84*m**4 + 25*m**3 - 2*m**2.
m**2*(m - 2)*(6*m - 1)**2
Let 3*q**2/4 - 501*q/4 - 126 = 0. Calculate q.
-1, 168
Determine h so that 2*h**3/9 + 2*h**2 + 16*h/9 - 40/3 = 0.
-6, -5, 2
Factor -n**4 - 14*n**3 - 61*n**2 - 84*n - 36.
-(n + 1)**2*(n + 6)**2
Factor 4*j**2/7 + 16*j - 512/7.
4*(j - 4)*(j + 32)/7
Factor r**3/8 - 4*r**2 - 223*r/8 - 95/4.
(r - 38)*(r + 1)*(r + 5)/8
Determine i, given that 51*i**5 - 594*i**4 + 1314*i**3 - 888*i**2 - 45*i + 162 = 0.
-6/17, 1, 9
Find d such that d**3 + 27*d**2/4 + 17*d/4 - 3/2 = 0.
-6, -1, 1/4
Determine r, given that 2*r**3 - 604*r**2 + 45602*r = 0.
0, 151
Find o such that -o**4/3 - 29*o**3/3 - 83*o**2 - 559*o/3 - 338/3 = 0.
-13, -2, -1
Solve -8*k**4 + 294*k**3 - 422*k**2 - 2364*k - 560 = 0.
-2, -1/4, 4, 35
Let w**4 + 32*w**3 + 222*w**2 + 352*w + 161 = 0. What is w?
-23, -7, -1
Factor -2*j**2 + 1232*j - 189728.
-2*(j - 308)**2
Let -5*l**4 + 65*l**3 - 195*l**2 + 135*l = 0. What is l?
0, 1, 3, 9
Let 2*j**5/3 - 68*j**4/3 - 152*j**3/3 + 284*j**2/3 + 50*j - 72 = 0. What is j?
-3, -1, 1, 36
Find s, given that 2*s**3/11 + 90*s**2/11 + 256*s/11 + 168/11 = 0.
-42, -2, -1
Let -2*b**4/3 + 110*b**3/3 + 584*b**2/3 + 952*b/3 + 160 = 0. Calculate b.
-2, -1, 60
Let -2*d**3/3 - 416*d**2/3 - 22042*d/3 - 42436/3 = 0. What is d?
-103, -2
Determine h, given that -60*h**3 - 62*h**2 - 2*h = 0.
-1, -1/30, 0
Find d, given that -3*d**5/5 + 39*d**4/5 - 117*d**3/5 + 81*d**2/5 = 0.
0, 1, 3, 9
Solve -2*o**3/3 - 2*o**2 - 4*o/3 = 0 for o.
-2, -1, 0
Find k such that 3*k**2/5 + 27*k/5 = 0.
-9, 0
Find n, given that n**3/2 - 14*n**2 + 91*n/2 + 60 = 0.
-1, 5, 24
Factor 5*r**2/6 - 2335*r/2 - 3510.
5*(r - 1404)*(r + 3)/6
Let 3*q**5 + 21*q**4 - 198*q**3 - 120*q**2 + 1248*q + 1152 = 0. Calculate q.
-12, -2, -1, 4
Determine x, given that 18*x**3 + 76*x**2 - 74*x - 20 = 0.
-5, -2/9, 1
Suppose -v**5/3 + v**4/3 + 110*v**3 + 968*v**2/3 + 640*v/3 = 0. What is v?
-16, -2, -1, 0, 20
Factor -4*n**2 - 136*n + 608.
-4*(n - 4)*(n + 38)
Factor -3*b**5/4 + 3*b**4 - 9*b**3/4.
-3*b**3*(b - 3)*(b - 1)/4
Factor 11*o**2/3 + 70*o/3 + 8.
(o + 6)*(11*o + 4)/3
Solve f**5 - 2*f**4 - 7*f**3 + 8*f**2 + 12*f = 0