*c/3 - 8/3 = 0 for c.
-1, 8/297
Factor w**5 - 15*w**4 - 24*w**3 + 116*w**2 + 192*w.
w*(w - 16)*(w - 3)*(w + 2)**2
Factor 2*o**2 + 36*o - 80.
2*(o - 2)*(o + 20)
Let -5*h**5 + 335*h**3 - 10*h**2 - 960*h + 640 = 0. Calculate h.
-8, -2, 1, 8
Factor x**4/3 + 2*x**3/3 - 5*x**2/3 - 2*x.
x*(x - 2)*(x + 1)*(x + 3)/3
Find r, given that 3*r**3 - 36*r**2 + 132*r - 144 = 0.
2, 4, 6
Factor 70*f**3 - 355*f**2 + 305*f - 20.
5*(f - 4)*(f - 1)*(14*f - 1)
Solve 5*d**4 + 285*d**3 + 1455*d**2 - 3785*d + 2040 = 0.
-51, -8, 1
Suppose -2*u**2/3 - 3292*u/3 + 6592/3 = 0. Calculate u.
-1648, 2
Factor -3*x**3 + 285*x**2 + 579*x + 291.
-3*(x - 97)*(x + 1)**2
Factor 2*y**2/19 + 248*y/19 + 7688/19.
2*(y + 62)**2/19
What is r in -r**5/6 - r**4/3 + 5*r**3/6 + r**2 = 0?
-3, -1, 0, 2
Factor -4*z**3/5 - 224*z**2/5.
-4*z**2*(z + 56)/5
Find w such that w**4 - 187*w**3/7 - 61*w**2/7 + 187*w/7 + 54/7 = 0.
-1, -2/7, 1, 27
What is t in -t**2 + 54*t = 0?
0, 54
Determine i, given that -3*i**2/4 - 363*i/4 - 90 = 0.
-120, -1
Find b such that b**3/2 + b**2/2 - 69*b/2 - 189/2 = 0.
-7, -3, 9
What is c in -c**5 + 617*c**4 - 96094*c**3 + 284590*c**2 - 283361*c + 94249 = 0?
1, 307
Factor -20*g**2 - 124*g - 104.
-4*(g + 1)*(5*g + 26)
Suppose 3*q**3 + 15*q**2 - 1224*q + 3456 = 0. Calculate q.
-24, 3, 16
Find l, given that 147*l**3/2 + 9450*l**2 + 5382*l + 768 = 0.
-128, -2/7
Let -c**4/5 - 36*c**3/5 - 67*c**2/5 + 36*c/5 + 68/5 = 0. What is c?
-34, -2, -1, 1
Factor m**4 - 8*m**3 + 5*m**2 + 50*m.
m*(m - 5)**2*(m + 2)
Let -j**2/5 - 988*j/5 - 244036/5 = 0. What is j?
-494
What is l in 9*l**5/7 - 51*l**4/7 + 30*l**3/7 + 180*l**2/7 - 264*l/7 + 96/7 = 0?
-2, 2/3, 1, 2, 4
Determine b, given that -4*b**3 + 12*b**2 - 8*b = 0.
0, 1, 2
Find l such that -3*l**2 + 3828*l - 1221132 = 0.
638
Factor -q**2/5 - 36*q/5 - 7.
-(q + 1)*(q + 35)/5
Factor 8*s**3 + 48*s**2 + 42*s - 98.
2*(s - 1)*(2*s + 7)**2
Factor 5*c**3/4 + 43*c**2/4 + 59*c/2 + 26.
(c + 2)*(c + 4)*(5*c + 13)/4
Find f such that -3*f**2 + 48*f - 117 = 0.
3, 13
Factor r**3 - 6*r**2 + 8*r.
r*(r - 4)*(r - 2)
Factor 3*i**2 - 303*i - 1260.
3*(i - 105)*(i + 4)
Solve 4*q**5 + 226*q**4/9 + 20*q**3/3 - 128*q**2 - 320*q/9 = 0 for q.
-4, -5/18, 0, 2
Solve -d**4/3 - 59*d**3/3 + 61*d**2 - 185*d/3 + 62/3 = 0.
-62, 1
Factor -3*z**3 - 36*z**2 - 123*z - 90.
-3*(z + 1)*(z + 5)*(z + 6)
Let -3*r**2 + 27*r + 156 = 0. Calculate r.
-4, 13
Solve -5*w**4/6 + 115*w**3/6 - 135*w**2 + 850*w/3 - 500/3 = 0.
1, 2, 10
Solve -15*l**3/2 + 42*l**2 + 18*l = 0 for l.
-2/5, 0, 6
Determine p, given that 3*p**2 - 1890*p = 0.
0, 630
Let -3*i**3/2 - 243*i**2 + 981*i/2 - 246 = 0. What is i?
-164, 1
Let w**5/4 - 7*w**4/4 + 7*w**3/2 - 2*w**2 = 0. What is w?
0, 1, 2, 4
Factor -5*h**4 + 25*h**3 + 20*h**2 - 220*h + 240.
-5*(h - 4)*(h - 2)**2*(h + 3)
Factor -s**2/4 + 37*s/2 - 36.
-(s - 72)*(s - 2)/4
What is y in -6*y**2/5 - 22*y/5 + 8 = 0?
-5, 4/3
Factor 3*u**2 + 15*u + 12.
3*(u + 1)*(u + 4)
Factor -2*b**2/5 + 52*b/5 + 814/5.
-2*(b - 37)*(b + 11)/5
Suppose 2*m**5/3 + 10*m**4/3 + 2*m**3 - 34*m**2/3 - 56*m/3 - 8 = 0. Calculate m.
-3, -2, -1, 2
Let 2*n**5/7 - 2*n**4 + 20*n**3/7 = 0. What is n?
0, 2, 5
Suppose -2*o**5 - 30*o**4 - 144*o**3 - 216*o**2 = 0. What is o?
-6, -3, 0
Let -m**2/4 + 50*m - 2500 = 0. What is m?
100
Factor -p**4/8 - 9*p**3/8 - 3*p**2/8 + 145*p/8 + 75/2.
-(p - 4)*(p + 3)*(p + 5)**2/8
Suppose -18*x**2 + 248*x + 56 = 0. Calculate x.
-2/9, 14
Factor 5*m**2 + 20*m.
5*m*(m + 4)
What is a in 4*a**5/3 + 4*a**4/3 - 355*a**3/3 + 1796*a**2/3 - 1071*a + 588 = 0?
-12, 1, 3, 7/2
Suppose -4*u**3 - 436*u**2 - 12096*u - 11664 = 0. Calculate u.
-54, -1
Let -10*a**5 - 6*a**4 + 274*a**3 + 702*a**2 + 216*a - 216 = 0. Calculate a.
-3, -1, 2/5, 6
Factor 25*b**4/4 + 95*b**3/2 - 219*b**2/4 - 551*b + 841.
(b - 2)**2*(5*b + 29)**2/4
Let 3*f**2/5 - 57*f/5 + 102/5 = 0. What is f?
2, 17
Find n, given that -4*n**3 + 1836*n**2 - 280908*n + 14326308 = 0.
153
Factor -r**4 - 22*r**3 + 23*r**2.
-r**2*(r - 1)*(r + 23)
Factor -20*n**2 + 2064*n + 1664.
-4*(n - 104)*(5*n + 4)
Factor -h**4/5 + 9*h**3 + 94*h**2/5.
-h**2*(h - 47)*(h + 2)/5
Factor 2*s**2/25 + 136*s/25.
2*s*(s + 68)/25
Solve 2*y**2 + 490*y - 988 = 0.
-247, 2
Find j such that -j**4/3 + 14*j**3/3 - 59*j**2/3 + 94*j/3 - 16 = 0.
1, 2, 3, 8
Factor 4*o**5/7 - 96*o**4/7 + 664*o**3/7 - 1056*o**2/7 + 484*o/7.
4*o*(o - 11)**2*(o - 1)**2/7
Factor 4*u**2 - 492*u.
4*u*(u - 123)
Suppose 5*t**4 - 315*t**3 + 4080*t**2 + 28900*t = 0. What is t?
-5, 0, 34
Determine f so that -4*f**5 - 144*f**4 - 392*f**3 + 144*f**2 + 396*f = 0.
-33, -3, -1, 0, 1
Find v such that -3*v**2/5 + 198*v/5 - 2067/5 = 0.
13, 53
Factor -g**2/2 + 3355*g/2.
-g*(g - 3355)/2
Factor 12*l**5 + 51*l**4 + 84*l**3 + 66*l**2 + 24*l + 3.
3*(l + 1)**4*(4*l + 1)
Suppose -57*b**5/4 + 573*b**4/4 + 1011*b**3/2 + 1029*b**2/2 + 627*b/4 - 39/4 = 0. Calculate b.
-1, 1/19, 13
Factor 3*l**3/8 - 3*l**2/4.
3*l**2*(l - 2)/8
What is g in -5*g**4/2 + 460*g**3 - 3135*g**2 + 6660*g - 7965/2 = 0?
1, 3, 177
Determine d so that -4*d**3 - 40*d**2 - 36*d = 0.
-9, -1, 0
Let -2*c**2 + 172*c - 1106 = 0. What is c?
7, 79
Suppose 2888*o**3/7 - 141968*o**2/7 + 22362*o/7 - 126 = 0. Calculate o.
3/38, 49
What is i in 3*i**3 + 27*i**2 + 60*i + 36 = 0?
-6, -2, -1
What is u in -6*u**5 - 88*u**4 - 488*u**3 - 1260*u**2 - 1458*u - 540 = 0?
-5, -3, -2/3
Factor -98*g**3/11 + 5348*g**2/11 - 72962*g/11.
-2*g*(7*g - 191)**2/11
Determine b so that 5*b**5 - 120*b**4 + 160*b**3 + 1250*b**2 + 1515*b + 550 = 0.
-1, 5, 22
Suppose -5*v**5 + 55*v**4 - 165*v**3 + 185*v**2 - 70*v = 0. Calculate v.
0, 1, 2, 7
Find h such that 5*h**2 - 620*h + 19220 = 0.
62
Find v, given that 2*v**3/3 + 364*v**2/3 + 16562*v/3 = 0.
-91, 0
Factor -v**4/2 + 41*v**3 - 840*v**2 - 41*v + 1681/2.
-(v - 41)**2*(v - 1)*(v + 1)/2
Let -2*z**2 - 1436*z/3 + 320 = 0. Calculate z.
-240, 2/3
Factor -2*g**4/3 + 14*g**2/3 + 4*g.
-2*g*(g - 3)*(g + 1)*(g + 2)/3
Suppose -2*g**3/5 + 378*g**2/5 - 23814*g/5 + 500094/5 = 0. Calculate g.
63
Suppose 2*a**2/9 - 4*a/3 + 10/9 = 0. Calculate a.
1, 5
Solve 2*u**3 + 38*u**2 + 88*u - 128 = 0 for u.
-16, -4, 1
Let 6*y**4 + 4*y**3 - 18*y**2 - 24*y - 8 = 0. What is y?
-1, -2/3, 2
Suppose 2*o**4/7 - 2*o**3 - 20*o**2/7 + 32*o/7 = 0. What is o?
-2, 0, 1, 8
What is a in 2*a**4/3 - 86*a**3 + 9340*a**2/3 - 20800*a - 24000 = 0?
-1, 10, 60
Factor 39*q**2/7 + 583*q/7 - 30/7.
(q + 15)*(39*q - 2)/7
Determine x so that 2*x**4/11 + 4*x**3 - 2*x**2/11 - 4*x = 0.
-22, -1, 0, 1
Find v, given that -2*v**4/5 - 2*v**3 + 6*v**2/5 + 26*v/5 - 4 = 0.
-5, -2, 1
Factor -2*o**3 - 36*o**2 - 120*o - 112.
-2*(o + 2)**2*(o + 14)
Factor 4*n**4 + 8*n**3 - 4*n**2 - 8*n.
4*n*(n - 1)*(n + 1)*(n + 2)
Factor -3*q**4/5 - 6*q**3 - 108*q**2/5 - 162*q/5 - 81/5.
-3*(q + 1)*(q + 3)**3/5
Let 2*p**3/15 - 502*p**2/5 + 126002*p/5 - 31626502/15 = 0. What is p?
251
Factor 2*m**2 + 60*m + 58.
2*(m + 1)*(m + 29)
Suppose b**4/5 + 9*b**3/5 - 162*b**2/5 = 0. What is b?
-18, 0, 9
Solve -4*l**4 + 36*l**3 - 60*l**2 - 100*l = 0.
-1, 0, 5
Factor -5*x**4/4 - 45*x**3/2 - 135*x**2 - 270*x.
-5*x*(x + 6)**3/4
Determine r so that -4*r**5/7 - 184*r**4/7 - 816*r**3/7 + 184*r**2/7 + 820*r/7 = 0.
-41, -5, -1, 0, 1
Factor 4*b**4 + 4*b**3 - 372*b**2 + 716*b - 352.
4*(b - 8)*(b - 1)**2*(b + 11)
Factor -d**2/3 - 382*d/3 - 760/3.
-(d + 2)*(d + 380)/3
Solve 10*f**2 + 176*f + 504 = 0 for f.
-14, -18/5
Factor 5*v**5 + 110*v**4 + 905*v**3 + 3300*v**2 + 4500*v.
5*v*(v + 5)**2*(v + 6)**2
Factor -p**5/3 - 170*p**4/3 - 2464*p**3 - 4704*p**2.
-p**2*(p + 2)*(p + 84)**2/3
Solve -3*m**2/5 - 21*m/5 - 18/5 = 0 for m.
-6, -1
Factor -x**2/5 - 27*x - 134/5.
-(x + 1)*(x + 134)/5
What is n in n**2 - 23*n + 76 = 0?
4, 19
Find x, given that 4*x**5/3 - 52*x**4/3 + 84*x**3 - 556*x**2/3 + 544*x/3 - 64 = 0.
1, 3, 4
Determine h so that -3*h**2 + 4731*h + 4734 = 0.
-1, 1578
Determine i so that i**2/4 - 129*i/4 = 0.
0, 129
Determine n so that -5*n**4 + 15*n**3 + 895*n**2 - 1815*n + 910 = 0.
-13, 1, 14
Factor -3*x**4/4 + 9*x**2/4 + 3*x/2.
-3*x*(x - 2)*(x + 1)**2/4
Suppose -2*g**5 - 4*g**4 + 2*g**3 + 4*g**2 = 0. Calculate g.
-2, -1, 0, 1
Determine p, given that 3*p**5 + 54*p**4 + 309*p**3 + 774*p**2 + 876*p + 360 = 0.
-10, -3, -2, -1
Factor -c**5 - 9*c**4 + 76*c**3 + 84*c**2.
-c**2*(c - 6)*(c + 1)*(c + 14)
Factor -2*w**3/9 + 292*w**2/9 + 1502*w/9 + 1208/9.
-2*(w - 151)*(w 