, 14
Solve 3*j**3 + 36*j**2 = 0 for j.
-12, 0
Suppose 3*q**2 + 41868*q + 146077452 = 0. Calculate q.
-6978
Solve -4*u**4 + 80*u**3 - 504*u**2 + 784*u + 1372 = 0 for u.
-1, 7
Factor -2*r**2/9 + 38*r/9 - 4.
-2*(r - 18)*(r - 1)/9
Determine h, given that 37*h**4/7 + 2144*h**3/7 - 339*h**2 - 4244*h/7 + 236/7 = 0.
-59, -1, 2/37, 2
Factor -50*y**3/7 - 240*y**2/7 - 24*y - 32/7.
-2*(y + 4)*(5*y + 2)**2/7
Factor 443*z**3/5 + 441*z**2/5 - 888*z/5 + 4/5.
(z - 1)*(z + 2)*(443*z - 2)/5
Factor 4*i**2/9 - 58*i/9 + 26/3.
2*(i - 13)*(2*i - 3)/9
Factor 5*b**2 + 785*b - 1590.
5*(b - 2)*(b + 159)
Factor -2*l**4 - 6*l**3 + 24*l**2 + 40*l - 96.
-2*(l - 2)**2*(l + 3)*(l + 4)
Factor 5*c**3 + 315*c**2 + 1960*c.
5*c*(c + 7)*(c + 56)
Solve -w**5/3 + 20*w**4/3 - 39*w**3 + 54*w**2 = 0 for w.
0, 2, 9
Factor 4*p**5/21 + 22*p**4/7 + 416*p**3/21 + 1216*p**2/21 + 512*p/7 + 512/21.
2*(p + 4)**4*(2*p + 1)/21
Factor 2*n**2 + 46*n - 156.
2*(n - 3)*(n + 26)
Factor -m**3/2 + 15*m**2 - 225*m/2.
-m*(m - 15)**2/2
Suppose -x**2/5 + x = 0. Calculate x.
0, 5
Factor 3*i**2 - 654*i + 35643.
3*(i - 109)**2
Factor -2*d**5/3 + 8*d**4/3 - 10*d**3/3 + 4*d**2/3.
-2*d**2*(d - 2)*(d - 1)**2/3
Find g, given that -g**4/2 + 3*g**3/2 + g**2/2 - 3*g/2 = 0.
-1, 0, 1, 3
Solve m**5/5 + 9*m**4 + 126*m**3/5 - 4*m**2/5 - 168*m/5 = 0.
-42, -2, 0, 1
Factor -2*v**2 - 1448*v - 262088.
-2*(v + 362)**2
Factor s**2/3 + 11*s/3 - 152/3.
(s - 8)*(s + 19)/3
Factor a**3/2 + 2*a**2 + 3*a/2.
a*(a + 1)*(a + 3)/2
Let 4*h**3 + 412*h**2 + 3104*h + 6080 = 0. Calculate h.
-95, -4
Suppose -2*m**3 - 4294*m**2 - 8585*m/2 - 1073 = 0. Calculate m.
-2146, -1/2
Find i such that -2*i**2/7 + 2516*i/7 - 791282/7 = 0.
629
Factor -3*p**2/8 + 21*p/4 - 9.
-3*(p - 12)*(p - 2)/8
What is t in -4*t**3 - 236*t**2 - 4300*t - 22500 = 0?
-25, -9
Factor -4*a**2/3 - 72*a + 228.
-4*(a - 3)*(a + 57)/3
Let 3025*f**5/2 + 770*f**4 + 98*f**3 = 0. Calculate f.
-14/55, 0
Factor -4*z**3 - 209*z**2 + 160*z + 53.
-(z - 1)*(z + 53)*(4*z + 1)
Factor -36*y**4 - 2616*y**3 - 48388*y**2 - 31392*y - 5184.
-4*(y + 36)**2*(3*y + 1)**2
Let 2*i**4/7 + 2*i**3 - 20*i**2/7 - 32*i/7 = 0. What is i?
-8, -1, 0, 2
Solve -2*t**2 + 3896*t + 7800 = 0 for t.
-2, 1950
What is d in -2*d**2 + 332*d - 13778 = 0?
83
Find v, given that 5*v**5 - 10*v**4 - 75*v**3 = 0.
-3, 0, 5
Factor f**2/5 + 8*f/5 + 7/5.
(f + 1)*(f + 7)/5
Factor -y**2/3 + 19*y/3 - 20.
-(y - 15)*(y - 4)/3
Determine b so that b**2/2 - 65*b + 4225/2 = 0.
65
Find b such that -5*b**3 - 2030*b**2 - 208060*b - 408040 = 0.
-202, -2
Factor 85*d**2/4 - 3065*d/2 + 180.
5*(d - 72)*(17*d - 2)/4
What is g in 2*g**5/9 - 124*g**4/9 + 2032*g**3/9 - 3104*g**2/9 - 2720*g/3 + 1600 = 0?
-2, 2, 30
Factor -2*b**2 + 12*b + 80.
-2*(b - 10)*(b + 4)
Find q, given that -q**5 + 6*q**4 - 5*q**3 - 20*q**2 + 36*q - 16 = 0.
-2, 1, 2, 4
Determine a so that -9*a**5/7 + 132*a**4/7 + 348*a**3/7 + 162*a**2/7 - 21*a - 102/7 = 0.
-1, 2/3, 17
Find p, given that 33*p**4 + 30*p**3 - 231*p**2 - 12*p + 180 = 0.
-3, -10/11, 1, 2
Factor 4*b**4 - 1536*b**3 + 145912*b**2 + 296448*b + 148996.
4*(b - 193)**2*(b + 1)**2
Determine j so that 2*j**4 + 3608*j**3 - 10836*j**2 + 10840*j - 3614 = 0.
-1807, 1
What is p in 5*p**3 + 155*p**2 - 160*p = 0?
-32, 0, 1
Factor 3*z**4 - 780*z**3 + 49116*z**2 + 205920*z + 209088.
3*(z - 132)**2*(z + 2)**2
Let a**5 - 9*a**4 + 29*a**3 - 39*a**2 + 18*a = 0. Calculate a.
0, 1, 2, 3
Factor 5*m**2 - 1910*m + 182405.
5*(m - 191)**2
Let 5*n**3/2 + 205*n**2/2 - 425*n/2 + 215/2 = 0. What is n?
-43, 1
Factor -12*y**3 - 1248*y**2 - 6015*y - 7425.
-3*(y + 99)*(2*y + 5)**2
Suppose -8*v**5/9 - 26*v**4/9 - 10*v**3/3 - 14*v**2/9 - 2*v/9 = 0. Calculate v.
-1, -1/4, 0
Factor -3*h**5/8 - 33*h**4/4 - 423*h**3/8 - 165*h**2/2 - 75*h/2.
-3*h*(h + 1)**2*(h + 10)**2/8
Let g**2/5 - 97*g/5 + 96/5 = 0. Calculate g.
1, 96
Factor w**2/9 - 47*w/9 - 16/3.
(w - 48)*(w + 1)/9
Suppose 5*q**2/2 - 105*q/2 + 275 = 0. Calculate q.
10, 11
Suppose 5*o**4/3 + 3*o**3 - 22*o**2/3 - 12*o + 8/3 = 0. What is o?
-2, 1/5, 2
Find v, given that 125*v**5 + 300*v**4 - 965*v**3 - 520*v**2 + 540*v - 80 = 0.
-4, -1, 1/5, 2/5, 2
Solve 4*a**3/7 + 184*a**2/7 - 380*a/7 + 192/7 = 0.
-48, 1
Let 257762*d**4/7 - 1029612*d**3/7 + 1025306*d**2/7 + 5736*d/7 + 8/7 = 0. What is d?
-1/359, 2
What is l in -2*l**5/3 - 22*l**4/3 + 28*l**3 - 8*l**2/3 - 112*l/3 = 0?
-14, -1, 0, 2
Determine p so that 5*p**4 + 55*p**3 + 185*p**2 + 225*p + 90 = 0.
-6, -3, -1
Solve -2*q**5 + 176*q**4 - 4044*q**3 + 7568*q**2 - 3698*q = 0.
0, 1, 43
Factor -2*a**3 + 86*a**2 - 782*a - 3174.
-2*(a - 23)**2*(a + 3)
Solve 4*u**2 + 45088*u/7 + 1840 = 0.
-1610, -2/7
Factor -4*l**3/5 + 2196*l**2/5 - 8736*l/5 + 1744.
-4*(l - 545)*(l - 2)**2/5
Let 5*h**3 - 10*h**2 - 1120*h = 0. Calculate h.
-14, 0, 16
Factor 368*y**2 + 170*y + 12.
2*(8*y + 3)*(23*y + 2)
Solve -2*d**2 + 72*d + 74 = 0.
-1, 37
Determine k, given that k**4 - 10*k**3 + 33*k**2 - 40*k + 16 = 0.
1, 4
Solve 2*z**5 + 20*z**4 - 80*z**3 - 20*z**2 + 78*z = 0 for z.
-13, -1, 0, 1, 3
Factor 2*d**4/5 + 1106*d**3/5 + 40626*d**2 + 2450510*d - 5065300.
2*(d - 2)*(d + 185)**3/5
Solve -6*m**4 - 94*m**3/3 - 2*m**2/3 + 94*m/3 + 20/3 = 0.
-5, -1, -2/9, 1
Factor -14*o**2/9 - 242*o/9 - 68/9.
-2*(o + 17)*(7*o + 2)/9
Find g such that 2*g**5/7 + 22*g**4/7 + 64*g**3/7 + 8*g**2/7 - 96*g/7 = 0.
-6, -4, -2, 0, 1
Solve 20*s**5/9 + 68*s**4/9 - 4*s**3 - 244*s**2/9 - 208*s/9 - 16/3 = 0 for s.
-3, -1, -2/5, 2
Factor -4*z**2 + 22464*z - 31539456.
-4*(z - 2808)**2
Let 3*f**3 - 60*f**2 + 291*f - 234 = 0. Calculate f.
1, 6, 13
Factor 3*g**3/5 - 27*g**2/5 + 12*g - 36/5.
3*(g - 6)*(g - 2)*(g - 1)/5
What is b in 4*b**4 - 1232*b**3 + 96072*b**2 - 183600*b - 280908 = 0?
-1, 3, 153
Factor 12*o**4 - 14*o**3 + 2*o**2.
2*o**2*(o - 1)*(6*o - 1)
Factor 2*m**3/13 - 118*m**2/13.
2*m**2*(m - 59)/13
Factor 5*x**2 + 585*x.
5*x*(x + 117)
Determine u so that 5*u**4/3 - 70*u**3/3 - 145*u**2 - 740*u/3 - 380/3 = 0.
-2, -1, 19
Find k such that 2*k**4 - 14*k**3 + 36*k**2 - 40*k + 16 = 0.
1, 2
Let 2*s**5 - 10*s**4 + 2*s**3 + 26*s**2 - 4*s - 16 = 0. What is s?
-1, 1, 2, 4
Solve 115*b**2/11 + 2*b/11 = 0 for b.
-2/115, 0
Let u**2/8 - 2*u + 39/8 = 0. What is u?
3, 13
Find i, given that -52*i**4 - 100*i**3 + 268*i**2 + 292*i - 24 = 0.
-3, -1, 1/13, 2
Solve -3*r**3 - 15*r**2 + 66*r - 48 = 0.
-8, 1, 2
What is k in -20*k**2 + 1364*k - 272 = 0?
1/5, 68
Factor -4*v**2 + 11192*v - 7828804.
-4*(v - 1399)**2
Find a, given that -a**5/3 - 4*a**4 - 38*a**3/3 - 52*a**2/3 - 11*a - 8/3 = 0.
-8, -1
Determine b, given that 5*b**2/3 + 2450*b/3 + 300125/3 = 0.
-245
Factor q**3/5 + 4097*q**2/5.
q**2*(q + 4097)/5
Factor 5*y**2 - 105*y + 100.
5*(y - 20)*(y - 1)
Factor 2*p**2/7 + 200*p + 35000.
2*(p + 350)**2/7
Factor -3*b**2/7 - 387*b/7 - 366.
-3*(b + 7)*(b + 122)/7
Factor -2*b**3/15 - 16*b**2/15 - 14*b/15.
-2*b*(b + 1)*(b + 7)/15
Let 2*c**4/7 - 44*c**3/7 + 314*c**2/7 - 792*c/7 + 648/7 = 0. Calculate c.
2, 9
Suppose -2*v**2/5 - 72*v/5 = 0. What is v?
-36, 0
Find v, given that 4*v**4 + 12340*v**3 + 12693744*v**2 + 4358177216*v + 4345495808 = 0.
-1028, -1
Find n, given that 2*n**2 - 6388*n + 5100818 = 0.
1597
Factor -2*c**2/5 + 6*c/5.
-2*c*(c - 3)/5
Let s**4/7 + 3*s**3/7 - 24*s**2/7 + 4*s = 0. Calculate s.
-7, 0, 2
Let -2*m**3/11 - 158*m**2/11 - 354*m - 2574 = 0. Calculate m.
-33, -13
What is x in 9*x**4 - 501*x**3 - 8870*x**2 - 11148*x - 3640 = 0?
-13, -2/3, 70
What is v in -30*v**4/13 - 2*v**3 + 244*v**2/13 + 328*v/13 - 48/13 = 0?
-2, 2/15, 3
Let -s**2/2 - 6*s + 13/2 = 0. What is s?
-13, 1
Solve -4*b**5 + 12*b**3 - 8*b**2 = 0 for b.
-2, 0, 1
Find n, given that -2*n**2 - 56*n - 150 = 0.
-25, -3
Determine n so that -3*n**5/2 + 9*n**4 - 18*n**3 + 15*n**2 - 9*n/2 = 0.
0, 1, 3
Factor 3*z**3 - 39*z**2 - 258*z - 216.
3*(z - 18)*(z + 1)*(z + 4)
Factor v**2/5 - 3*v/5 + 2/5.
(v - 2)*(v - 1)/5
Suppose g**5/2 - g**4/2 - 13*g**3/2 + 25*g**2/2 - 6*g = 0. Calculate g.
-4, 0, 1, 3
What is u in -u**2/8 + 2167*u/2 - 4695889/2 = 0?
4334
Factor t**3 + 11*t**2 + 10*t.
t*(t + 1)*(t + 10)
Suppose -12*w**4/5 - 117*w**3/5 - 369*w**2/5 - 456*w/5 - 36 = 0. Calculate w.
-5, -2, -3/4
Factor 28*a**5 + 2192*a**4 + 57408*a**3 + 508352*a**2 + 140608*a.
4*a*(a + 26)**3*(7*a + 2)
Let 30752000*b**2 - 24800*b + 5 = 0. Calculate b.
1/2480
Factor 2*z**5 + 16*z**4 - 256*z**2 - 512*z.
2*z*(z - 4)*(z + 4)**3
