ermine s, given that 41*s**4/2 + 163*s**3 + 845*s**2/2 + 348*s - 18 = 0.
-3, -2, 2/41
Determine w, given that 3*w**2 - 36*w - 135 = 0.
-3, 15
Solve -36*m**3 + 3032*m**2 - 5956*m + 2960 = 0 for m.
1, 740/9
Find n such that n**3/2 + 563*n**2 = 0.
-1126, 0
Solve 40*x**3 - 49935*x**2 + 15593760*x - 5840640 = 0.
3/8, 624
Solve -2214*t**2/7 - 456*t/7 + 8/7 = 0 for t.
-2/9, 2/123
Suppose -2*b**4 - 11*b**3 - 10*b**2 + 8*b = 0. What is b?
-4, -2, 0, 1/2
What is g in -2*g**3/11 - 52*g**2/11 - 320*g/11 - 576/11 = 0?
-18, -4
Determine w, given that -16*w**3/3 + 298*w**2/3 - 548*w/3 + 266/3 = 0.
1, 133/8
Factor -3*l**3 - 59*l**2/2 + 38*l - 11/2.
-(l - 1)*(l + 11)*(6*l - 1)/2
Solve w**3/2 - 438*w**2 + 875*w/2 = 0.
0, 1, 875
Factor 2*j**2 - 1118*j + 2228.
2*(j - 557)*(j - 2)
Factor -3*h**3 - 3084*h**2 - 795663*h - 1579014.
-3*(h + 2)*(h + 513)**2
Find z such that -245*z**2 - 10*z = 0.
-2/49, 0
Determine f, given that 39*f**5 + 90*f**4 - 444*f**3 + 402*f**2 - 27*f - 60 = 0.
-5, -4/13, 1
Find l such that -l**5/4 + 25*l**4/2 + 51*l**3/4 = 0.
-1, 0, 51
Determine x, given that -7*x**3/2 + 3144*x**2 - 898*x = 0.
0, 2/7, 898
What is d in d**4/2 + 79*d**3/2 + 77*d**2/2 - 79*d/2 - 39 = 0?
-78, -1, 1
Factor 2*l**2 + 6*l - 20.
2*(l - 2)*(l + 5)
Determine u, given that 3*u**5 + 9*u**4 + 6*u**3 = 0.
-2, -1, 0
Factor -57*l**4 + 123*l**3 - 27*l**2 - 87*l + 48.
-3*(l - 1)**3*(19*l + 16)
Factor 3*u**4 - 27*u**3 - 9*u**2 + 87*u - 54.
3*(u - 9)*(u - 1)**2*(u + 2)
What is p in -5*p**4 + 145*p**3 - 1015*p**2 - 145*p + 1020 = 0?
-1, 1, 12, 17
Let k**3 - 22*k**2 - k + 22 = 0. What is k?
-1, 1, 22
Determine w so that -12*w**4 - 2547*w**3 - 135468*w**2 - 33708*w = 0.
-106, -1/4, 0
Let -o**2 - 48*o - 567 = 0. What is o?
-27, -21
Determine c so that -8*c**3/5 + 202*c**2 - 32004*c/5 + 7938/5 = 0.
1/4, 63
Factor -3*z**3 + 18*z**2 - 33*z + 18.
-3*(z - 3)*(z - 2)*(z - 1)
Suppose -3*l**2 - 3165*l = 0. Calculate l.
-1055, 0
Suppose c**4/8 + c**3 - c**2/8 - c = 0. Calculate c.
-8, -1, 0, 1
Factor -2*s**2 + 408*s - 20808.
-2*(s - 102)**2
Factor -5*m**3 - 140*m**2 - 135*m.
-5*m*(m + 1)*(m + 27)
Factor -15*x**3 - 107*x**2 - 194*x - 24.
-(x + 3)*(x + 4)*(15*x + 2)
Factor -w**5 + 5*w**4 - 3*w**3 - 5*w**2 + 4*w.
-w*(w - 4)*(w - 1)**2*(w + 1)
Factor -3*d**5/8 - 3*d**4/2 + 3*d**3 + 24*d**2 + 42*d + 24.
-3*(d - 4)*(d + 2)**4/8
Determine z, given that -4*z**5/9 + 40*z**4/9 - 28*z**3/3 - 112*z**2/9 + 208*z/9 + 64/3 = 0.
-1, 2, 4, 6
Find h such that -h**5/4 - 17*h**4/4 - 61*h**3/4 + 117*h**2/4 + 81*h/2 = 0.
-9, -1, 0, 2
Factor 3*v**4/5 + 6*v**3 + 72*v**2/5.
3*v**2*(v + 4)*(v + 6)/5
Suppose z**4/2 + 269*z**3/2 - 6*z**2 - 1606*z + 2152 = 0. Calculate z.
-269, -4, 2
Determine u so that -5*u**3 + 30*u**2 + 1440*u - 12960 = 0.
-18, 12
Factor p**3/3 + 32*p**2/3 + 175*p/3.
p*(p + 7)*(p + 25)/3
Find q, given that -2*q**5 - 1464*q**4 + 5876*q**3 - 8824*q**2 + 5886*q - 1472 = 0.
-736, 1
Find o such that 5*o**4 + 5*o**3 - 15*o**2 - 25*o - 10 = 0.
-1, 2
Factor 64*r**3/5 - 48*r**2 + 153*r/5 - 27/5.
(r - 3)*(8*r - 3)**2/5
Determine w so that 3*w**2 + 51*w + 90 = 0.
-15, -2
What is z in 11*z**2 + 183*z + 270 = 0?
-15, -18/11
Factor 3*u**2 + 150*u - 2013.
3*(u - 11)*(u + 61)
Factor 4*m**4 + 444*m**3 + 14352*m**2 + 105200*m - 120000.
4*(m - 1)*(m + 12)*(m + 50)**2
Let 2*i**3/5 - 2704*i**2/5 + 913952*i/5 = 0. What is i?
0, 676
Suppose -d**4/3 - 11*d**3/3 + d**2 + 31*d/3 - 22/3 = 0. Calculate d.
-11, -2, 1
Solve -81*u**3/4 + 2817*u**2/2 + 629*u + 70 = 0.
-2/9, 70
What is q in q**2/2 - 148*q + 10952 = 0?
148
Factor 4*u**3 - 876*u**2 + 63948*u - 1556068.
4*(u - 73)**3
Factor 3*b**3 - 129*b**2.
3*b**2*(b - 43)
Factor -49*t**3/3 + 1645*t**2/3 - 928*t/3 + 44.
-(t - 33)*(7*t - 2)**2/3
Factor h**2/3 + 82*h + 5043.
(h + 123)**2/3
Factor 2*s**2/7 + 18136*s/7 + 41114312/7.
2*(s + 4534)**2/7
Let -18*d**5 + 537*d**4 - 930*d**3 + 153*d**2 + 426*d - 168 = 0. What is d?
-2/3, 1/2, 1, 28
Find j, given that j**3 - 7*j**2 + 8*j + 16 = 0.
-1, 4
Determine q so that q**3/5 + 108*q**2/5 + 63*q = 0.
-105, -3, 0
Factor -3*f**2/2 + 10*f - 6.
-(f - 6)*(3*f - 2)/2
Factor v**4/2 - 363*v**3/2 + 723*v**2/2 - 361*v/2.
v*(v - 361)*(v - 1)**2/2
Factor -125*s**5 + 11475*s**4 - 346470*s**3 + 3295610*s**2 + 4338915*s + 1340595.
-5*(s - 31)**3*(5*s + 3)**2
What is x in x**4 - 9*x**3 + 22*x**2 - 32 = 0?
-1, 2, 4
Factor 36*u**3 - 764*u**2 + 1536*u - 304.
4*(u - 19)*(u - 2)*(9*u - 2)
Determine z, given that -z**2 + 75*z - 74 = 0.
1, 74
Find h such that h**2 + 40*h + 76 = 0.
-38, -2
Factor -3*i**4 - 12*i**3.
-3*i**3*(i + 4)
Find p such that -3*p**3 - 702*p**2 - 43092*p - 233928 = 0.
-114, -6
Let -5*l**4/3 - 20*l**3/3 + 5*l**2/3 + 20*l/3 = 0. Calculate l.
-4, -1, 0, 1
Suppose -16*r**4 + 1728*r**3 + 12*r**2 - 1300*r + 432 = 0. What is r?
-1, 1/2, 108
Factor -5*w**3 - 20*w**2 + 55*w - 30.
-5*(w - 1)**2*(w + 6)
Factor -28*l**3 - 372*l**2 - 720*l - 176.
-4*(l + 2)*(l + 11)*(7*l + 2)
Let 2*r**4 + 338*r**3 + 9552*r**2 + 78848*r + 69632 = 0. Calculate r.
-136, -16, -1
Find h such that 5*h**2 + 10430*h + 5439245 = 0.
-1043
Determine w so that -2*w**5/19 + 80*w**4/19 - 484*w**3/19 + 736*w**2/19 - 330*w/19 = 0.
0, 1, 5, 33
Factor 226*w**2 + 908*w + 16.
2*(w + 4)*(113*w + 2)
Factor 4*y**2 - 4*y - 48.
4*(y - 4)*(y + 3)
Factor 2*q**4 - 840*q**3 + 2508*q**2 - 2504*q + 834.
2*(q - 417)*(q - 1)**3
Factor 2*i**2 + 1860*i + 3712.
2*(i + 2)*(i + 928)
Let 2*m**4 - 10*m**3 - 38*m**2 + 58*m + 84 = 0. What is m?
-3, -1, 2, 7
Factor 3*v**2/4 + 459*v/4 + 114.
3*(v + 1)*(v + 152)/4
Factor -z**2 - 196*z - 9604.
-(z + 98)**2
Factor -4*a**2 + 28*a + 32.
-4*(a - 8)*(a + 1)
Factor -5*i**4 - 25*i**3 + 15*i**2 + 65*i - 50.
-5*(i - 1)**2*(i + 2)*(i + 5)
Let 2*z**4 + 14*z**3/9 - 22*z**2/9 - 14*z/9 + 4/9 = 0. Calculate z.
-1, 2/9, 1
Factor 3*t**2/5 - 12*t/5.
3*t*(t - 4)/5
Determine u so that 4*u**4 - 40*u**3 + 84*u**2 = 0.
0, 3, 7
Factor -256*r**4 - 3392*r**3 - 9348*r**2 + 12996*r.
-4*r*(r - 1)*(8*r + 57)**2
Factor 5*a**2/2 - 6400*a - 12805/2.
5*(a - 2561)*(a + 1)/2
Suppose 322*l**4/17 - 1546*l**3/17 + 1604*l**2/17 + 424*l/17 - 48/17 = 0. Calculate l.
-2/7, 2/23, 2, 3
Find c, given that -26*c**2/15 + 2*c/15 = 0.
0, 1/13
Factor -3*a**3 - 39*a**2 - 96*a - 60.
-3*(a + 1)*(a + 2)*(a + 10)
Suppose -4*z**4/5 - 12*z**3/5 + 8*z**2/5 + 48*z/5 + 32/5 = 0. What is z?
-2, -1, 2
Determine q so that 2*q**3/5 - 1553*q**2/5 - 777*q/5 = 0.
-1/2, 0, 777
Factor -4*x**2/7 - 292*x/7 + 2952/7.
-4*(x - 9)*(x + 82)/7
Factor -2*g**5 - 48*g**4 - 90*g**3 - 44*g**2.
-2*g**2*(g + 1)**2*(g + 22)
Factor 4*v**3 - 84*v**2 + 540*v - 1100.
4*(v - 11)*(v - 5)**2
Let 3*m**2 - 69*m - 72 = 0. Calculate m.
-1, 24
Factor -o**4/6 - 41*o**3/6 + o**2/2 + 121*o/6 - 41/3.
-(o - 1)**2*(o + 2)*(o + 41)/6
Let 30*g**2 - 85*g - 15 = 0. What is g?
-1/6, 3
Let 4*r**5 + 60*r**4 - 204*r**3 + 212*r**2 - 72*r = 0. Calculate r.
-18, 0, 1
Factor w**5 + 5*w**4 + w**3 - 21*w**2 - 18*w.
w*(w - 2)*(w + 1)*(w + 3)**2
Factor -a**4/11 - 6*a**3/11 + 567*a**2/11.
-a**2*(a - 21)*(a + 27)/11
Suppose -x**5/3 + 4*x**4/3 - x**3 = 0. Calculate x.
0, 1, 3
Factor -5*r**5 - 60*r**4 - 160*r**3 + 640*r**2 + 3840*r + 5120.
-5*(r - 4)*(r + 4)**4
Determine o so that -o**5/2 - 17*o**4 + 9*o**3/2 + 151*o**2 - 74*o - 204 = 0.
-34, -3, -1, 2
Let 8192*u**5/3 - 45056*u**4/3 + 33024*u**3 - 36288*u**2 + 19926*u - 4374 = 0. Calculate u.
1, 9/8
Factor 2*g**3 - 4*g**2 - 82*g + 84.
2*(g - 7)*(g - 1)*(g + 6)
Let 2*o**5/15 - 2*o**4/3 - 46*o**3/15 - 22*o**2/15 + 44*o/15 + 32/15 = 0. Calculate o.
-2, -1, 1, 8
Factor -2*v**4/9 + 4*v**3/3 - 16*v**2/9.
-2*v**2*(v - 4)*(v - 2)/9
Suppose r**2/4 - 289 = 0. What is r?
-34, 34
Determine b, given that -3*b**5/2 - 69*b**4/2 - 9*b**3 + 1002*b**2 - 2676*b + 2016 = 0.
-21, -8, 2
Factor -2*g**2/21 - 824*g/21 - 1640/21.
-2*(g + 2)*(g + 410)/21
Let 15*g**4 + 65*g**3 + 90*g**2 + 40*g = 0. What is g?
-2, -4/3, -1, 0
Solve -4*h**2 + 40*h + 44 = 0.
-1, 11
Factor z**4/7 + 8*z**3/7 + 20*z**2/7 + 16*z/7.
z*(z + 2)**2*(z + 4)/7
Determine z, given that -3*z**5/5 - 11*z**4 - 211*z**3/5 - 29*z**2/5 + 26*z = 0.
-13, -5, -1, 0, 2/3
Factor 3*o**2/5 - 840*o + 294000.
3*(o - 700)**2/5
Factor 2*f**3/7 - 74*f**2/7 + 646*f/7 + 722/7.
2*(f - 19)**2*(f + 1)/7
What is p in 2*p**5/13 + 8*p**4/13 + 12*p**3/13 + 8*p**2/13 + 2*p/13 = 0?
-1, 0
Factor -h**2/4 + 14*h - 55/4.
-(h - 55