actor 20*j**2 + 180*j + 405.
5*(2*j + 9)**2
Determine p so that 3*p**4 - 21*p**3 - 84*p**2 - 60*p = 0.
-2, -1, 0, 10
Suppose n**2/2 + 985*n/2 - 1978 = 0. Calculate n.
-989, 4
Factor -4*k**2 - 260*k + 264.
-4*(k - 1)*(k + 66)
Find o such that 2*o**2 + 220*o/3 - 74/3 = 0.
-37, 1/3
Factor -5*j**3 - 10*j**2 + 5*j + 10.
-5*(j - 1)*(j + 1)*(j + 2)
Factor -6*p**3/11 + 42*p**2/11 - 96*p/11 + 72/11.
-6*(p - 3)*(p - 2)**2/11
Determine g so that 4*g**5/3 + 16*g**4/3 - 32*g**3/3 - 128*g**2/3 + 64*g/3 + 256/3 = 0.
-4, -2, 2
Factor -4*g**4 + 1476*g**3 - 4404*g**2 + 4396*g - 1464.
-4*(g - 366)*(g - 1)**3
Factor -2*f**2/7 + 20*f/7 + 48/7.
-2*(f - 12)*(f + 2)/7
Factor a**3 - 3*a**2 - 4*a.
a*(a - 4)*(a + 1)
Let 3*i**2 + 1266*i + 133563 = 0. Calculate i.
-211
Solve 6*f**3/5 - 694*f**2/5 + 1144*f/5 - 456/5 = 0 for f.
2/3, 1, 114
Find w such that 10*w**3 - 258*w**2 + 638*w + 138 = 0.
-1/5, 3, 23
Suppose -3*m**3 + 45*m**2 - 216*m + 336 = 0. What is m?
4, 7
Factor -4*l**3 + 180*l**2 - 2688*l + 13312.
-4*(l - 16)**2*(l - 13)
Factor 2*b**2/9 - 344*b - 6200/9.
2*(b - 1550)*(b + 2)/9
Let 8*o**4 - 130*o**3 + 360*o**2 - 290*o + 52 = 0. What is o?
1/4, 1, 2, 13
Suppose q**4 - 1753*q**3 + 769128*q**2 - 767376*q = 0. What is q?
0, 1, 876
Factor -y**3 - 156*y**2 - 8112*y - 140608.
-(y + 52)**3
Factor -4*g**4/3 - 28*g**3/3 - 44*g**2/3 - 20*g/3.
-4*g*(g + 1)**2*(g + 5)/3
Factor -2*l**4 + 34*l**3 + 4*l**2 - 1152*l + 2880.
-2*(l - 15)*(l - 4)**2*(l + 6)
What is s in -2*s**5/9 + 4*s**4/3 - 8*s**3/9 - 16*s**2/3 + 64*s/9 = 0?
-2, 0, 2, 4
Let 9*s**2 + 87*s + 54 = 0. What is s?
-9, -2/3
Factor -2*v**4 - 36*v**3 - 232*v**2 - 624*v - 576.
-2*(v + 2)*(v + 4)*(v + 6)**2
Factor -d**4 + 14*d**3 - 64*d**2 + 114*d - 63.
-(d - 7)*(d - 3)**2*(d - 1)
What is v in 2*v**3/3 + 42*v**2 + 882*v + 6174 = 0?
-21
Factor j**5/5 + 2*j**4/5 - 7*j**3/5 + 4*j**2/5.
j**2*(j - 1)**2*(j + 4)/5
Suppose 10*m**4/3 - 18*m**3 + 38*m**2/3 + 50*m - 48 = 0. Calculate m.
-8/5, 1, 3
Find d such that d**3 - 6*d**2 + 11*d - 6 = 0.
1, 2, 3
Suppose -36*q**2/5 - 20*q - 56/5 = 0. Calculate q.
-2, -7/9
Solve 2*f**5 - 1140*f**4 + 161306*f**3 + 326040*f**2 + 163592*f = 0 for f.
-1, 0, 286
Suppose 4*l**4 + 60*l**3 + 264*l**2 + 464*l + 288 = 0. What is l?
-9, -2
Suppose -w**5 + 3*w**3 - 2*w**2 = 0. Calculate w.
-2, 0, 1
Let -i**4 - 7*i**3 - 16*i**2 - 12*i = 0. Calculate i.
-3, -2, 0
What is t in t**5/4 + 3*t**4/2 + 3*t**3/4 - 13*t**2/2 - 6*t = 0?
-4, -3, -1, 0, 2
Determine y so that -y**5 - 124*y**4 - 5632*y**3 - 106496*y**2 - 524288*y + 4194304 = 0.
-32, 4
What is g in 18*g**4 - 398*g**3 + 2222*g**2 - 242*g = 0?
0, 1/9, 11
Factor y**2/10 - 11*y/10 + 12/5.
(y - 8)*(y - 3)/10
Determine f so that -15*f**4 + 28*f**3 + 64*f**2 - 112*f - 16 = 0.
-2, -2/15, 2
Factor h**5 + 17*h**4 + 66*h**3 + 68*h**2 - 56*h - 96.
(h - 1)*(h + 2)**3*(h + 12)
Factor -y**5/3 - 16*y**4/3 - 30*y**3 - 72*y**2 - 63*y.
-y*(y + 3)**3*(y + 7)/3
Factor f**2 - 24*f + 44.
(f - 22)*(f - 2)
Solve 2*x**3/3 - 68*x**2/3 - 142*x/3 - 24 = 0.
-1, 36
Factor 2*o**5/5 - 14*o**4 + 918*o**3/5 - 5346*o**2/5 + 11664*o/5.
2*o*(o - 9)**3*(o - 8)/5
Find k, given that 20*k**4 + 212*k**3 - 108*k**2 - 212*k + 88 = 0.
-11, -1, 2/5, 1
Factor s**2/2 + 17*s - 35/2.
(s - 1)*(s + 35)/2
Determine n, given that 3*n**4 + 12*n**3 + 9*n**2 - 12*n - 12 = 0.
-2, -1, 1
Find a, given that 2*a**2 + 12*a + 18 = 0.
-3
Let u**4/4 + 5*u**3 - 12*u**2 - 20*u + 44 = 0. Calculate u.
-22, -2, 2
Determine b so that 2*b**2/7 - 1020*b/7 + 130050/7 = 0.
255
Find q such that 4*q**4/3 - 64*q**3/3 - 160*q**2 + 12800*q/3 - 56000/3 = 0.
-14, 10
Factor -5*i**4 - 30*i**3 + 35*i**2.
-5*i**2*(i - 1)*(i + 7)
Factor 2*s**3/21 - 106*s**2/21 - 1978*s/21 + 40678/7.
2*(s - 43)**2*(s + 33)/21
Factor 3*c**2/5 + 1626*c/5 + 220323/5.
3*(c + 271)**2/5
Find h, given that 3*h**3/4 + 2400*h**2 + 1920000*h = 0.
-1600, 0
Determine v so that v**4/2 - 17*v**3 - 74*v**2 - 76*v = 0.
-2, 0, 38
Factor 8*i**3 - 14*i**2 - 196*i - 48.
2*(i - 6)*(i + 4)*(4*i + 1)
Suppose 112*h**2 - 125*h + 13 = 0. Calculate h.
13/112, 1
Determine j so that j**4/5 + 29*j**3/5 - j**2/5 - 29*j/5 = 0.
-29, -1, 0, 1
What is a in -4*a**4/5 + 36*a**3/5 + 4*a**2/5 - 36*a/5 = 0?
-1, 0, 1, 9
Factor -4*u**2 + 76*u + 80.
-4*(u - 20)*(u + 1)
Let -4*k**3 + 412*k**2 - 408*k = 0. What is k?
0, 1, 102
Factor 2*a**3 - 7*a**2 - 68*a - 32.
(a - 8)*(a + 4)*(2*a + 1)
Solve -35*x**4 - 330*x**3 + 2020*x**2 - 3000*x + 1120 = 0 for x.
-14, 4/7, 2
Factor 5*m**5 - 30*m**4 + 40*m**3.
5*m**3*(m - 4)*(m - 2)
Factor f**4/6 + f**3/2 - f**2/6 - f/2.
f*(f - 1)*(f + 1)*(f + 3)/6
Suppose -3*c**4/8 - 21*c**3/8 - 27*c**2/4 - 15*c/2 - 3 = 0. Calculate c.
-2, -1
Factor 2*a**3 - 16*a**2 + 10*a + 100.
2*(a - 5)**2*(a + 2)
Solve 2*a**4/5 + 17*a**3/5 - 11*a**2/5 - 17*a/5 + 9/5 = 0 for a.
-9, -1, 1/2, 1
Factor -i**3/7 - 50*i**2/7 + 591*i/7 - 540/7.
-(i - 9)*(i - 1)*(i + 60)/7
Factor -2*a**4 + 26*a**3 + 28*a**2.
-2*a**2*(a - 14)*(a + 1)
Solve -2*l**4/9 - 32*l**3/9 - 154*l**2/9 - 148*l/9 + 112/3 = 0 for l.
-7, -6, -4, 1
Solve -2*m**5/7 - 4*m**4/7 + 4*m**2/7 + 2*m/7 = 0 for m.
-1, 0, 1
Let -2*f**4 - 247*f**3/2 - 951*f**2 - 2477*f/2 + 371 = 0. Calculate f.
-53, -7, -2, 1/4
Determine b, given that -b**2/5 - 61*b/5 = 0.
-61, 0
Factor -4*j**4/5 - 24*j**3/5 - 52*j**2/5 - 48*j/5 - 16/5.
-4*(j + 1)**2*(j + 2)**2/5
Factor v**3/5 + 17*v**2/5 + 91*v/5 + 147/5.
(v + 3)*(v + 7)**2/5
Find p, given that 2*p**5/3 - 20*p**4/9 - 184*p**3/9 - 304*p**2/9 - 128*p/9 = 0.
-2, -2/3, 0, 8
Solve r**5/9 + 5*r**4/9 + 7*r**3/9 + r**2/3 = 0 for r.
-3, -1, 0
Factor -5*j**3/3 + 22*j**2/3 + 52*j/3 - 8.
-(j - 6)*(j + 2)*(5*j - 2)/3
Determine m so that 15*m**3 - 3*m**2 - 51*m - 33 = 0.
-1, 11/5
Solve -63*r**4/2 - 239*r**3/2 - 142*r**2 - 62*r - 8 = 0 for r.
-2, -1, -4/7, -2/9
Find h such that 4*h**5 + 84*h**4 - 384*h**3 + 400*h**2 = 0.
-25, 0, 2
Factor g**2 + 5122*g + 6558721.
(g + 2561)**2
Suppose 4*t**4 + 4*t**3 - 64*t**2 - 64*t = 0. What is t?
-4, -1, 0, 4
Factor 5*w**2 - 350*w + 2745.
5*(w - 61)*(w - 9)
Factor s**4/3 + 146*s**3/3 + 848*s**2/3 + 1120*s/3.
s*(s + 2)*(s + 4)*(s + 140)/3
Find b such that -2*b**3/3 - 16*b**2/3 - 10*b/3 + 100/3 = 0.
-5, 2
Let -3*p**2 - 435*p - 1692 = 0. What is p?
-141, -4
Factor 4*f**4 - 132*f**3 - 276*f**2 - 140*f.
4*f*(f - 35)*(f + 1)**2
What is l in -2*l**5/7 - 2*l**4 + 288*l**3/7 = 0?
-16, 0, 9
Factor 2*p**2/9 - 334*p/9 - 676/9.
2*(p - 169)*(p + 2)/9
Determine l so that -5*l**2 - 11600*l + 11605 = 0.
-2321, 1
Factor w**3/6 - 35*w**2/2 + 253*w/3 - 100.
(w - 100)*(w - 3)*(w - 2)/6
Determine k, given that -14*k**5 + 332*k**4 + 474*k**3 - 592*k**2 - 200*k = 0.
-2, -2/7, 0, 1, 25
Factor w**4/4 + 3*w**3/4 - w**2/2 - 3*w - 2.
(w - 2)*(w + 1)*(w + 2)**2/4
Factor -5*m**2 - 10*m - 5.
-5*(m + 1)**2
Solve -2*j**2/3 - 44*j/3 + 32 = 0 for j.
-24, 2
Let b**3 + 23*b**2 + 120*b - 144 = 0. Calculate b.
-12, 1
Solve y**4 + 648*y**3 + 106264*y**2 + 417312*y + 414736 = 0 for y.
-322, -2
What is h in 3*h**2 - 108 = 0?
-6, 6
Let 9*l**4/4 + 2379*l**3 - 15897*l**2/4 - 3174*l + 3177 = 0. What is l?
-1059, -1, 2/3, 2
What is s in -12*s**4/7 + 8*s**3 - 44*s**2/7 - 64*s/7 + 48/7 = 0?
-1, 2/3, 2, 3
Let -50*u**4/3 + 980*u**3 - 1726*u**2 + 2744*u/3 - 152 = 0. Calculate u.
2/5, 1, 57
Factor -2*q**3/7 - 6602*q**2/7 - 5444998*q/7 + 5451602/7.
-2*(q - 1)*(q + 1651)**2/7
Factor -4*u**5/7 - 236*u**4/7 - 4560*u**3/7 - 27200*u**2/7 + 32000*u/7.
-4*u*(u - 1)*(u + 20)**3/7
Factor v**5 + 5*v**4 + 2*v**3 - 14*v**2 - 3*v + 9.
(v - 1)**2*(v + 1)*(v + 3)**2
Solve 5*v**3 + 35*v**2 - 365*v + 325 = 0 for v.
-13, 1, 5
Let 2*b**5/13 + 54*b**4/13 + 384*b**3/13 - 232*b**2/13 - 5568*b/13 + 8064/13 = 0. What is b?
-12, -7, 2
Let 616*c**3 + 612*c**2 - 4*c = 0. Calculate c.
-1, 0, 1/154
Factor 192*n**2 + 3*n.
3*n*(64*n + 1)
Factor -g**2/3 - 2689*g/3.
-g*(g + 2689)/3
Let -6*n**5/5 - 154*n**4/5 - 956*n**3/5 + 492*n**2/5 + 962*n/5 - 338/5 = 0. What is n?
-13, -1, 1/3, 1
Factor -5*j**2 + 255*j - 3240.
-5*(j - 27)*(j - 24)
What is o in o**5 - 35*o**4 + 126*o**3 - 58*o**2 - 127*o + 93 = 0?
-1, 1, 3, 31
Suppose -4*v**3 + 56*v**2 + 2684*v + 17424 = 0. What is v?
-11, 36
Let d**2/5 - 118*d/5 + 3481/5 = 0. What is d?
59
Factor 3*d**4 + 18*d**3 + 27*d**2 - 12*d - 36.
3*(d - 1)*(d + 2)**2*(d + 3)
Find g such that g**4/4 + 107*g**3/4 - 2077*g**2/4 + 3829*g/4 - 465 = 0.
-124, 1,