*2 + 6*c = 0. Calculate c.
0, 1/2, 3
Suppose 9*x**4/5 + 2004*x**3/5 + 1332*x**2/5 = 0. What is x?
-222, -2/3, 0
Factor s**2 - 439*s.
s*(s - 439)
Factor 3*n**2/4 + 12825*n/4 - 3207.
3*(n - 1)*(n + 4276)/4
Factor -26*v**3 + 34*v**2 - 8*v.
-2*v*(v - 1)*(13*v - 4)
What is l in -9*l**3/5 - 237*l**2/5 - 304*l/5 - 20 = 0?
-25, -2/3
Suppose 12*u**3 - 100*u**2 + 232*u - 160 = 0. What is u?
4/3, 2, 5
Find b such that 2*b**4/9 - 32*b**3/9 + 6*b**2 + 32*b/9 - 56/9 = 0.
-1, 1, 2, 14
Solve -2*b**2/3 - 28*b/3 + 48 = 0.
-18, 4
Find g, given that -g**4 - 142*g**3 - 1345*g**2 - 3300*g = 0.
-132, -5, 0
Factor -4*w**3 + 70*w**2 - 32*w - 34.
-2*(w - 17)*(w - 1)*(2*w + 1)
Factor -2*s**3/5 - 2*s**2 - 12*s/5.
-2*s*(s + 2)*(s + 3)/5
Factor 4*z**2 - 1416*z + 125316.
4*(z - 177)**2
Factor 5*d**2 - 5*d - 150.
5*(d - 6)*(d + 5)
Suppose 2*d**5/15 + 38*d**4/15 + 208*d**3/15 + 352*d**2/15 = 0. What is d?
-11, -4, 0
Factor 2*q**5/5 - 48*q**4/5 + 66*q**3 - 484*q**2/5.
2*q**2*(q - 11)**2*(q - 2)/5
Solve 2*o**2 - 2*o = 0.
0, 1
Solve 2*g**5/3 + 268*g**4/3 + 11600*g**3/3 + 144992*g**2/3 - 727904*g/3 + 778688/3 = 0 for g.
-46, 2
Factor 3*k**2/7 + 7071*k/7 + 7068/7.
3*(k + 1)*(k + 2356)/7
Suppose -2*f**2 + 180*f = 0. Calculate f.
0, 90
Suppose 5*m**4 + 30*m**3 - 125*m**2 + 90*m = 0. What is m?
-9, 0, 1, 2
Suppose 3*n**3 + 126*n**2 + 864*n + 1632 = 0. What is n?
-34, -4
What is t in t**4/2 + 34*t**3 - 107*t**2 - 34*t + 213/2 = 0?
-71, -1, 1, 3
Factor -5*i**3 + 25*i**2 - 40*i + 20.
-5*(i - 2)**2*(i - 1)
Let -u**3 + 11*u**2 + 29*u - 39 = 0. What is u?
-3, 1, 13
Factor 3*m**4/5 + 8418*m**3/5 + 1575288*m**2 + 492013830*m + 490440225.
3*(m + 1)*(m + 935)**3/5
Let -28*j**4 + 48*j**3 + 828*j**2 - 608*j - 240 = 0. Calculate j.
-5, -2/7, 1, 6
Factor -2*r**3/5 + 6*r**2/5 + 12*r/5 - 16/5.
-2*(r - 4)*(r - 1)*(r + 2)/5
Factor -2*b**3/5 + 8*b**2/5 + 14*b/5 - 4.
-2*(b - 5)*(b - 1)*(b + 2)/5
Factor -3*a**3 - 183*a**2 - 2697*a + 2883.
-3*(a - 1)*(a + 31)**2
Determine s, given that -2*s**3/7 + 108*s**2/7 + 464*s/7 = 0.
-4, 0, 58
Factor -4*w**2 + 8864*w - 17712.
-4*(w - 2214)*(w - 2)
Factor -5*y**4 - 70*y**3 + 335*y**2 - 440*y + 180.
-5*(y - 2)*(y - 1)**2*(y + 18)
Factor -4*l**5 - 8*l**4 - 4*l**3.
-4*l**3*(l + 1)**2
Let 7*x**3/9 + x**2 + 2*x/9 = 0. Calculate x.
-1, -2/7, 0
Factor w**5 + 89*w**4 + 1648*w**3 - 14604*w**2 + 35712*w - 27648.
(w - 3)*(w - 2)**2*(w + 48)**2
Factor 3*q**2 - 75*q + 378.
3*(q - 18)*(q - 7)
Determine l, given that 2*l**2/7 - 24036*l/7 + 72216162/7 = 0.
6009
What is h in 3*h**2/7 - 54*h/7 + 96/7 = 0?
2, 16
Factor 5*d**2/3 - 290*d/3 - 295/3.
5*(d - 59)*(d + 1)/3
Factor -25*s**3 + 40*s**2 + 20*s.
-5*s*(s - 2)*(5*s + 2)
Determine t, given that 5*t**3 - 20*t**2 - 75*t + 90 = 0.
-3, 1, 6
Let -23*n**4/5 + 17*n**3/5 + 6*n**2/5 = 0. Calculate n.
-6/23, 0, 1
Determine p so that -4*p**4 - 936*p**3 + 4748*p**2 - 7632*p + 3824 = 0.
-239, 1, 2
Factor 5*u**4 - 8*u**3 - 4*u**2.
u**2*(u - 2)*(5*u + 2)
Factor -2*w**3/11 + 778*w**2/11 - 280*w.
-2*w*(w - 385)*(w - 4)/11
Let -9*w**5 + 57*w**4 - 54*w**3 - 42*w**2 + 63*w - 15 = 0. What is w?
-1, 1/3, 1, 5
Let 2*u**5/3 + 26*u**4/3 - 122*u**3/3 - 386*u**2/3 + 160*u = 0. What is u?
-16, -3, 0, 1, 5
Factor 2*x**4 + 20*x**3 - 162*x**2 - 180*x.
2*x*(x - 6)*(x + 1)*(x + 15)
Solve -2*l**3/17 - 52*l**2/17 + 10*l - 116/17 = 0 for l.
-29, 1, 2
Factor -j**3/5 + 418*j**2/5 - 8652*j - 17640.
-(j - 210)**2*(j + 2)/5
Suppose 2*u**3/9 + 8*u**2/9 = 0. Calculate u.
-4, 0
Let -2*x**2 - 410*x + 2100 = 0. What is x?
-210, 5
Suppose 4*x**3/9 - 788*x**2/9 + 15428*x/3 - 77372 = 0. Calculate x.
23, 87
Solve 4*y**4 - 28*y**3 - 40*y**2 + 64*y = 0.
-2, 0, 1, 8
Determine r so that -4*r**5 + 144*r**4 + 4*r**3 - 144*r**2 = 0.
-1, 0, 1, 36
Let 2*m**3 - 24*m**2 + 22*m = 0. Calculate m.
0, 1, 11
Factor -s**3/2 - 21*s**2/2 - 7*s + 60.
-(s - 2)*(s + 3)*(s + 20)/2
Let -8*f**2 - 22*f + 40 = 0. Calculate f.
-4, 5/4
Solve 3*b**3 - 81*b**2 + 405*b - 567 = 0 for b.
3, 21
Let 5*y**5/3 - 11*y**4 + 22*y**3 - 28*y**2/3 - 8*y = 0. Calculate y.
-2/5, 0, 2, 3
Let 5*p**2 + 1050*p = 0. Calculate p.
-210, 0
Factor 4*f**4 + 232*f**3 + 3348*f**2 - 928*f - 13456.
4*(f - 2)*(f + 2)*(f + 29)**2
Let 2*r**2 + 104*r + 1352 = 0. What is r?
-26
Factor y**3/11 - 36*y**2/11 + 357*y/11 - 578/11.
(y - 17)**2*(y - 2)/11
Factor 2*m**2 - 7732*m + 7472978.
2*(m - 1933)**2
Solve -g**4 - 56*g**3/3 + 27*g**2 + 6*g - 40/3 = 0 for g.
-20, -2/3, 1
Find g such that -619369*g**2/2 + 1574*g - 2 = 0.
2/787
Factor -5*z**4 + 22340*z**3 - 24976110*z**2 + 49885220*z - 24931445.
-5*(z - 2233)**2*(z - 1)**2
Factor -2*v**5 + 240*v**4 - 10604*v**3 + 204240*v**2 - 1448402*v.
-2*v*(v - 37)**2*(v - 23)**2
Determine m, given that -m**5/4 + 3*m**4/4 + 3*m**3/4 - 11*m**2/4 + 3*m/2 = 0.
-2, 0, 1, 3
Factor -2*f**2/3 + 13312*f/3 - 22151168/3.
-2*(f - 3328)**2/3
Suppose -h**2/3 - 2*h/3 + 35/3 = 0. What is h?
-7, 5
Let -3*i**2 + 576*i + 1755 = 0. Calculate i.
-3, 195
Solve -2*j**3/9 - 34*j**2/9 - 22*j/9 + 1210/9 = 0.
-11, 5
Factor -2*t**2/3 - 190*t + 572/3.
-2*(t - 1)*(t + 286)/3
Solve -4*v**5 + 1024*v**4 - 65536*v**3 = 0.
0, 128
Factor v**3 - 19*v**2 - 97*v + 115.
(v - 23)*(v - 1)*(v + 5)
Suppose 18*z**5/7 - 48*z**4/7 - 3736*z**3/7 + 6284*z**2/7 - 2938*z/7 + 60 = 0. What is z?
-14, 1/3, 1, 15
Factor c**2/7 - 1444*c/7.
c*(c - 1444)/7
Suppose 3*z**3/4 + 1491*z**2/4 + 45750*z - 140625 = 0. What is z?
-250, 3
Solve c**3 + 39*c**2 + 459*c + 1701 = 0 for c.
-21, -9
Solve m**3/2 + 139*m**2 - 281*m/2 - 279 = 0 for m.
-279, -1, 2
Suppose 3*p**5 - 9*p**4/2 - 6*p**3 + 9*p**2/2 + 3*p = 0. What is p?
-1, -1/2, 0, 1, 2
Factor -9*b**3/4 - 2524*b**2 + 561*b.
-b*(b + 1122)*(9*b - 2)/4
Determine n, given that -5*n**2 - 65*n + 1150 = 0.
-23, 10
Solve -196*g**4 - 1484*g**3 + 2728*g**2 + 1904*g + 288 = 0.
-9, -2/7, 2
What is q in 3*q**3/2 - 27*q**2/2 + 81*q/2 - 81/2 = 0?
3
Suppose 3*g**4/4 - 99*g**3/2 - 1065*g**2/4 = 0. Calculate g.
-5, 0, 71
Suppose -h**2 + 740*h - 739 = 0. Calculate h.
1, 739
Solve 2*m**4/13 + 46*m**3/13 + 186*m**2/13 - 70*m + 52 = 0.
-13, 1, 2
Determine j so that -2*j**2/17 + 18/17 = 0.
-3, 3
Factor -10*z**3 - 323*z**2 + 584*z + 204.
-(z - 2)*(z + 34)*(10*z + 3)
Find p such that 20*p**4 + 15*p**3 - 285*p**2 - 410*p + 120 = 0.
-3, -2, 1/4, 4
Factor 2*l**3/11 + 20*l**2/11 - 46*l/11 + 24/11.
2*(l - 1)**2*(l + 12)/11
Factor -3*r**5 - 1035*r**4 + 2079*r**3 - 1041*r**2.
-3*r**2*(r - 1)**2*(r + 347)
Factor 5*x**2 - 2390*x + 285605.
5*(x - 239)**2
Factor -10*w**4 - 124*w**3 - 408*w**2 - 144*w.
-2*w*(w + 6)**2*(5*w + 2)
Factor -4*q**4 - 116*q**3 + 976*q**2 - 1216*q - 2304.
-4*(q - 4)**2*(q + 1)*(q + 36)
Factor -i**5 - 48*i**4 - 47*i**3.
-i**3*(i + 1)*(i + 47)
Find n, given that -n**5/2 + 5*n**4 + 39*n**3/2 - 72*n**2 - 216*n = 0.
-3, 0, 4, 12
Factor 4*i**5 + 4*i**4 - 180*i**3 - 756*i**2 - 864*i.
4*i*(i - 8)*(i + 3)**3
Suppose -3*t**4 + 42*t**3 + 3*t**2 - 42*t = 0. Calculate t.
-1, 0, 1, 14
Factor -i**2 + 126*i - 125.
-(i - 125)*(i - 1)
Factor 2*c**3/3 + 122*c**2/3 + 116*c/3 - 80.
2*(c - 1)*(c + 2)*(c + 60)/3
Factor 49*p**3/5 + 20*p**2 + 53*p/5 + 2/5.
(p + 1)**2*(49*p + 2)/5
Suppose i**3 - 10*i**2 + 7*i + 18 = 0. Calculate i.
-1, 2, 9
Let -2*z**4/7 - 10*z**3/7 + 2*z**2/7 + 10*z/7 = 0. Calculate z.
-5, -1, 0, 1
Determine y, given that -2*y**2/5 - 320*y - 1598/5 = 0.
-799, -1
Factor -2*v**3 + 4796*v**2 - 2875202*v.
-2*v*(v - 1199)**2
Find a, given that -42*a**4 - 634*a**3 + 612*a**2 + 64*a = 0.
-16, -2/21, 0, 1
Find k, given that 4*k**3/5 - 208*k**2/5 + 228*k - 1656/5 = 0.
3, 46
What is w in -4*w**4 + 192*w**3 + 2700*w**2 + 10600*w + 12000 = 0?
-5, -2, 60
Factor -2*n**3/11 + 8*n**2/11 + 14*n/11 - 20/11.
-2*(n - 5)*(n - 1)*(n + 2)/11
Find y such that -364*y**5/3 + 2864*y**4/3 - 2848*y**3 + 11648*y**2/3 - 6592*y/3 + 256 = 0.
2/13, 12/7, 2
Determine b, given that b**3/5 - b**2 - 2*b/5 + 24/5 = 0.
-2, 3, 4
Suppose 5*k**3 + 1015*k**2 + 1010*k = 0. What is k?
-202, -1, 0
What is u in -5*u**3 + 1255*u**2 = 0?
0, 251
Determine g so that 2*g**4 + 9*g**3 + 9*g**2 - g - 3 = 0.
-3, -1, 1/2
Factor 4*r**3/5 - 68*r**2 + 1312*r/5 - 1296/5.
4*(r - 81)*(r - 2)**2/5
Let -4*n**5 + 72*n**4 + 528*n**3 + 1112*n**2 + 948*n + 288 = 0. What is n?
-3, -1, 24
Factor o**3/4 + 3*o**2/4 - 81*o + 80.
(o - 16)*(o - 1)*(o + 20)/4
Determine b, given that -b**2/6 - 16*b/3 - 128/3 = 0.
-16
Let