5 = 0. Calculate o.
-2, 0, 2/5, 4
Factor 5*l**3 - 2135*l**2 + 8480*l - 8460.
5*(l - 423)*(l - 2)**2
Let -2*b**4/7 - 10*b**3/7 - 10*b**2/7 + 10*b/7 + 12/7 = 0. What is b?
-3, -2, -1, 1
Factor 3*c**3/2 - 1557*c**2/2 + 269361*c/2 - 15533151/2.
3*(c - 173)**3/2
Let -385*t**3 + 626*t**2 - 247*t + 6 = 0. What is t?
2/77, 3/5, 1
Let -4*g**3 + 832*g**2 + 836*g = 0. Calculate g.
-1, 0, 209
Factor -f**4/4 - f**3/4 + 3*f**2/4 + f/4 - 1/2.
-(f - 1)**2*(f + 1)*(f + 2)/4
Solve 5*f**2 + 2095*f = 0 for f.
-419, 0
What is k in 4*k**2/5 + 388*k/5 + 1128/5 = 0?
-94, -3
Factor 2*b**4/3 + 572*b**3/3 + 34778*b**2/3 - 291720*b + 1560600.
2*(b - 10)**2*(b + 153)**2/3
Factor 5*n**2 + 2570*n - 5160.
5*(n - 2)*(n + 516)
Factor d**2 + 52*d - 53.
(d - 1)*(d + 53)
Factor 3*p**2 - 366*p + 11163.
3*(p - 61)**2
Determine a, given that 243*a**3 - 13824*a**2 - 44772*a - 35280 = 0.
-14/9, 60
Solve -4*v**4/5 + 32*v**3 - 2016*v**2/5 + 6272*v/5 + 21952/5 = 0 for v.
-2, 14
Solve f**2/4 - 9*f + 81 = 0.
18
Factor -2*j**3/5 - 22*j**2/5 - 14*j - 10.
-2*(j + 1)*(j + 5)**2/5
What is o in 2*o**3 - 4*o**2 - 146*o - 140 = 0?
-7, -1, 10
Solve -2*p**2/7 + 796*p/7 - 79202/7 = 0 for p.
199
Let -2*a**2/3 - 466*a/3 = 0. What is a?
-233, 0
Solve -4*h**4/9 + 2*h**3/3 + 20*h**2/9 - 8*h/3 - 16/9 = 0.
-2, -1/2, 2
Factor s**4/2 + s**3 - 111*s**2/2 + 54*s.
s*(s - 9)*(s - 1)*(s + 12)/2
What is h in -3*h**4/7 - 237*h**3/7 - 5016*h**2/7 - 12996*h/7 = 0?
-38, -3, 0
Find f, given that f**2 - 64*f = 0.
0, 64
Factor 16*m**2 + 836*m + 208.
4*(m + 52)*(4*m + 1)
Factor -5*j**4 - 57*j**3 - 112*j**2 - 36*j.
-j*(j + 2)*(j + 9)*(5*j + 2)
Let -56*o**5 + 12*o**4 + 92*o**3 - 4*o**2 - 36*o - 8 = 0. Calculate o.
-1, -1/2, -2/7, 1
Factor 4*c**2 + 2020*c + 4024.
4*(c + 2)*(c + 503)
Determine t, given that t**3 + 1377*t**2 + 632043*t + 96702579 = 0.
-459
Factor -q**2/2 + 9*q/2 - 4.
-(q - 8)*(q - 1)/2
What is j in 2*j**2 - 10828*j + 14655698 = 0?
2707
Find a such that 2*a**4 - 16*a**3 - 720*a**2 - 5184*a - 11232 = 0.
-6, 26
Factor -5*y**3/3 - 10*y**2/3.
-5*y**2*(y + 2)/3
Determine v so that -722*v**5/9 - 380*v**4/3 - 146*v**3/9 + 80*v**2/3 - 32*v/9 = 0.
-1, 0, 4/19
Determine y, given that -3*y**4 + 66*y**3 - 120*y**2 = 0.
0, 2, 20
Factor -2*j**3/7 - 52*j**2/7 - 96*j/7.
-2*j*(j + 2)*(j + 24)/7
Factor 2*q**3 + 16*q**2 + 10*q - 100.
2*(q - 2)*(q + 5)**2
Factor 5*d**4 - 325*d**3 + 315*d**2 + 325*d - 320.
5*(d - 64)*(d - 1)**2*(d + 1)
Let -11*t**5/3 + 13*t**4/3 + 64*t**3/3 - 56*t**2/3 - 80*t/3 + 16/3 = 0. What is t?
-2, -1, 2/11, 2
Let -9*l**4/5 - 492*l**3 - 813*l**2/5 + 1638*l/5 = 0. What is l?
-273, -1, 0, 2/3
Factor -5*m**2 + 4510*m - 1017005.
-5*(m - 451)**2
Find o such that 3*o**3 + 9*o**2 - 18*o - 24 = 0.
-4, -1, 2
Factor r**5/2 - r**4 - 3*r**3/2.
r**3*(r - 3)*(r + 1)/2
Factor -o**4 - 15*o**3 + o**2 + 15*o.
-o*(o - 1)*(o + 1)*(o + 15)
Factor 5*f**4 - 35*f**3.
5*f**3*(f - 7)
Factor 6*n**2/5 - 35484*n/5 + 52463094/5.
6*(n - 2957)**2/5
Let 124*f**2/5 + 8*f/5 = 0. Calculate f.
-2/31, 0
Let -10201*u**2 - 1818*u - 81 = 0. What is u?
-9/101
Factor -i**5 - 10*i**4 + i**3 + 10*i**2.
-i**2*(i - 1)*(i + 1)*(i + 10)
Let 4*o**4 - 44*o**3 + 108*o**2 - 100*o + 32 = 0. What is o?
1, 8
Factor 2*y**4/9 + 32*y**3 + 4508*y**2/3 + 192080*y/9 - 235298/3.
2*(y - 3)*(y + 49)**3/9
Determine i so that -i**2/8 + 2141*i/8 + 1071/4 = 0.
-1, 2142
Factor -g**2/2 - g/2 + 1.
-(g - 1)*(g + 2)/2
Suppose -3*v**2 - 48738*v - 197949387 = 0. What is v?
-8123
Factor -o**4 + 13*o**3 + o**2 - 13*o.
-o*(o - 13)*(o - 1)*(o + 1)
Factor 5*s**4/6 + 22*s**3/3 + 16*s**2.
s**2*(s + 4)*(5*s + 24)/6
Solve 65*y**3 - 22885*y**2 + 2015200*y - 154880 = 0.
1/13, 176
Let -n**2/2 + 559*n - 312481/2 = 0. What is n?
559
Determine r so that r**2/4 + 15*r/4 - 4 = 0.
-16, 1
Factor -7*r**4 + 58*r**3 - 107*r**2 + 68*r - 12.
-(r - 6)*(r - 1)**2*(7*r - 2)
Let 4*y**2 - 4*y - 24 = 0. What is y?
-2, 3
Let 2*r**3 - 1418*r**2 - 2842*r - 1422 = 0. Calculate r.
-1, 711
Let 2*s**4 + 1024*s**3 + 196608*s**2 + 16777216*s + 536870912 = 0. What is s?
-128
What is l in -2*l**4 - 22*l**3 - 68*l**2 - 48*l = 0?
-6, -4, -1, 0
What is q in q**5/3 + 2*q**4/3 - 12*q**3 - 2*q**2/3 + 35*q/3 = 0?
-7, -1, 0, 1, 5
Factor -w**2/4 - 13*w/2 - 169/4.
-(w + 13)**2/4
Find j such that -3*j**2 - 165*j = 0.
-55, 0
Solve -2*a**4/11 + 2*a**3/11 + 32*a**2/11 + 40*a/11 = 0.
-2, 0, 5
Solve 3*v**3 + 282*v**2 - 1785*v + 1500 = 0.
-100, 1, 5
Factor 5*m**2 + 5*m - 10.
5*(m - 1)*(m + 2)
Factor -b**5/3 + 14*b**4/3 - 40*b**3/3 - 48*b**2 + 144*b + 288.
-(b - 6)**3*(b + 2)**2/3
Find n, given that 4*n**2 + 656*n + 4396 = 0.
-157, -7
Factor -3*j**3/5 - 72*j**2/5 - 99*j - 726/5.
-3*(j + 2)*(j + 11)**2/5
What is i in -22*i**5/17 - 508*i**4/17 - 4096*i**3/17 - 12736*i**2/17 - 7168*i/17 + 20480/17 = 0?
-8, -4, 10/11
Factor 9*v**3 - 156*v**2 + 205*v/4 - 17/4.
(v - 17)*(6*v - 1)**2/4
Factor -2*z**5/11 + 12*z**4/11 + 72*z**3/11 + 80*z**2/11.
-2*z**2*(z - 10)*(z + 2)**2/11
Factor -2*j**3/7 - 1608*j**2/7 - 430944*j/7 - 38497664/7.
-2*(j + 268)**3/7
Factor q**2/7 - 520*q/7 + 67600/7.
(q - 260)**2/7
Find y, given that 4*y**2/7 + 2592*y/7 + 419904/7 = 0.
-324
Factor 3*f**2 + 105*f + 288.
3*(f + 3)*(f + 32)
Factor 2*m**5/3 - 22*m**4/3 + 24*m**3 - 64*m**2/3 - 64*m/3 + 32.
2*(m - 6)*(m - 2)**3*(m + 1)/3
Factor 2*h**5 - 14*h**4 - 54*h**3 - 58*h**2 - 20*h.
2*h*(h - 10)*(h + 1)**3
Determine j so that 2*j**2/5 - 34*j/5 - 3468/5 = 0.
-34, 51
Determine t, given that -t**3 - 631*t**2 = 0.
-631, 0
Factor 3*q**4 + 24*q**3 + 66*q**2 + 72*q + 27.
3*(q + 1)**2*(q + 3)**2
Suppose -2*y**2 - 60*y = 0. What is y?
-30, 0
Factor -3*q**4 + 3*q**3.
-3*q**3*(q - 1)
Factor q**5/4 - 5*q**4/2 - 5*q**3 + 50*q**2 + 160*q + 128.
(q - 8)**2*(q + 2)**3/4
What is w in -w**3/6 - 44*w**2/3 - 408*w - 3456 = 0?
-36, -16
Suppose -5*h**5 + 195*h**4 + 845*h**3 + 665*h**2 - 840*h - 860 = 0. What is h?
-2, -1, 1, 43
Determine a, given that 2*a**4 + 54*a**3 + 332*a**2 - 504*a - 784 = 0.
-14, -1, 2
Determine k, given that -800*k**2/9 - 80*k/3 - 2 = 0.
-3/20
Factor 5*w**2 + 1800*w - 1805.
5*(w - 1)*(w + 361)
Solve v**3/5 + v**2/5 - v/5 - 1/5 = 0 for v.
-1, 1
What is w in -10*w**4 + 784*w**3 - 20592*w**2 + 183872*w - 70304 = 0?
2/5, 26
Factor 4*l**4 + 144*l**3 - 12*l**2 - 424*l + 288.
4*(l - 1)**2*(l + 2)*(l + 36)
Determine i, given that 2*i**2/7 - 208*i/7 + 4958/7 = 0.
37, 67
Solve v**4/3 + 11*v**3 + 197*v**2/3 + 133*v + 78 = 0.
-26, -3, -1
Factor -3*w**3 - 72*w**2 - 351*w + 1014.
-3*(w - 2)*(w + 13)**2
Factor 4*m**4/5 - 4*m**3/5 - 88*m**2/5 - 176*m/5 - 96/5.
4*(m - 6)*(m + 1)*(m + 2)**2/5
Solve 2*d**5/17 + 12*d**4/17 - 62*d**3/17 - 312*d**2/17 + 360*d/17 = 0.
-6, 0, 1, 5
Solve 10*o**4/13 + 46*o**3/13 - 150*o**2/13 + 122*o/13 - 28/13 = 0 for o.
-7, 2/5, 1
Factor y**2 + 284*y - 285.
(y - 1)*(y + 285)
Factor -d**2 + 61*d + 126.
-(d - 63)*(d + 2)
Find n such that n**3 - 98*n**2 + 2401*n = 0.
0, 49
Let h**4/3 - 1715*h**3/3 + 327183*h**2 - 188125657*h/3 + 372338822/3 = 0. Calculate h.
2, 571
Factor 2*o**3/3 + 14*o**2/3 + 22*o/3 + 10/3.
2*(o + 1)**2*(o + 5)/3
Find q, given that 4*q**2 + 64*q - 228 = 0.
-19, 3
Factor -4*b**2 - 40*b - 36.
-4*(b + 1)*(b + 9)
Let -t**4/8 - 357*t**3/8 - 4005*t**2 - 7921*t/2 = 0. Calculate t.
-178, -1, 0
Suppose 5*r**3/2 - 195*r**2/2 + 2535*r/2 - 10985/2 = 0. Calculate r.
13
Factor -n**3 - 7*n**2 + 92*n - 84.
-(n - 6)*(n - 1)*(n + 14)
Solve -4*c**3/7 + 24*c**2/7 + 60*c/7 - 400/7 = 0.
-4, 5
Find m such that -5*m**5 + 460*m**4 + 1420*m**3 + 490*m**2 - 1415*m - 950 = 0.
-2, -1, 1, 95
Determine k, given that 3*k**3/4 + 87*k**2 - 1431*k/4 + 270 = 0.
-120, 1, 3
Factor -5*y**4 - 425*y**3 + 2210*y**2 - 3580*y + 1800.
-5*(y - 2)**2*(y - 1)*(y + 90)
Solve -2*c**4/3 + 70*c**3 + 214*c**2/3 - 70*c - 212/3 = 0 for c.
-1, 1, 106
Factor 2*q**3/3 - 12*q**2 + 22*q - 32/3.
2*(q - 16)*(q - 1)**2/3
Factor -2*x**3/5 - 594*x**2/5 + 480*x - 2408/5.
-2*(x - 2)**2*(x + 301)/5
Find y such that -4*y**5 - 168*y**4 - 980*y**3 + 16064*y**2 - 46800*y + 40000 = 0.
-25, 2, 4
Solve 2*v**5/5 - 74*v**4/5 - 82*v**3/5 + 226*v**2/5 + 16*v - 152/5 = 0 for v.
-2, -1, 1, 38
Solve m**3/12 - 7*m**2/3 + 221*m/12 - 169/6 = 0 for m.
2, 13
What is v in 5*v**5/3 - 21*v**4 - 31*v**3/3 + 21*v**2 + 26*v/3 = 0?
-1, -2/5, 0, 1, 13
Factor q**2/3 - 4202*q/3 + 4414201/3.
(q - 2101)**2/3
Find y, given that 2*y**5/17 + 60*y**4/17