r 27*q**4 + 438*q**3 + 2364*q**2 + 4392*q + 864.
3*(q + 4)*(q + 6)**2*(9*q + 2)
Find i, given that -i**4/4 + 393*i**3/4 + 7*i**2/4 - 2745*i/4 - 1179/2 = 0.
-2, -1, 3, 393
Solve 5*y**4 + 315*y**3 + 590*y**2 - 1260*y - 2440 = 0 for y.
-61, -2, 2
Suppose -35*t**4 + 10*t**3 + 245*t**2 - 280*t + 60 = 0. Calculate t.
-3, 2/7, 1, 2
Find y, given that 3*y**3/2 - 6*y**2 - 42*y - 48 = 0.
-2, 8
Find p, given that 43*p**2/8 + 21*p/4 - 1/8 = 0.
-1, 1/43
Factor -25*x**4 - 1495*x**3 - 2634*x**2 - 1396*x - 232.
-(x + 1)*(x + 58)*(5*x + 2)**2
Factor -2*u**2 - 344*u + 346.
-2*(u - 1)*(u + 173)
Determine s so that 8*s**4 + 16*s**3 - 214*s**2 + 426*s - 252 = 0.
-7, 3/2, 2
Determine r so that 4*r**2 + 1156*r - 1160 = 0.
-290, 1
What is h in -3*h**5/5 - 6*h**4/5 + 27*h**3/5 + 6*h**2/5 - 24*h/5 = 0?
-4, -1, 0, 1, 2
What is i in 5*i**3 + 295*i**2 + 2720*i - 52020 = 0?
-34, 9
Factor -35*l**3 + 27*l**2 + 96*l - 20.
-(l - 2)*(5*l - 1)*(7*l + 10)
Factor -3*y**3 - 48*y**2 - 84*y.
-3*y*(y + 2)*(y + 14)
Suppose -4*g**3 - 100*g**2 - 672*g - 576 = 0. Calculate g.
-12, -1
Solve -t**2/6 - 25*t/6 - 11 = 0 for t.
-22, -3
Let 2*s**3 + 169*s**2 + 84*s = 0. What is s?
-84, -1/2, 0
Solve 2*l**3/5 - 94*l**2/5 - 848*l/5 - 352 = 0 for l.
-4, 55
Solve v**2/8 - 1043*v/8 - 261/2 = 0.
-1, 1044
Let -2*k**4 + 108*k**3 + 128*k**2 - 972*k - 990 = 0. Calculate k.
-3, -1, 3, 55
Factor 105*a**3 + 232*a**2 + a - 30.
(3*a - 1)*(5*a + 2)*(7*a + 15)
Suppose 2*u**2/5 - 20988*u/5 + 55062018/5 = 0. What is u?
5247
Factor -m**3 - 29*m**2 + 30*m.
-m*(m - 1)*(m + 30)
Let -9*h**5/2 + 21*h**4/4 - 3*h**3/4 = 0. Calculate h.
0, 1/6, 1
Let -c**4 + 9*c**3 - 30*c**2 + 44*c - 24 = 0. What is c?
2, 3
Factor 175*h**2 + 235*h + 60.
5*(h + 1)*(35*h + 12)
Find j such that -j**4/5 - 24*j**3/5 + 3*j**2/5 + 74*j/5 + 48/5 = 0.
-24, -1, 2
Determine r, given that -3*r**3 - 93*r**2 + 3*r + 93 = 0.
-31, -1, 1
Factor 2*b**4/5 + 2*b**3 - 16*b**2/5 - 24*b/5.
2*b*(b - 2)*(b + 1)*(b + 6)/5
What is q in q**3/7 - 15*q**2/7 - 33*q/7 - 17/7 = 0?
-1, 17
Determine m, given that 3*m**2 + 33*m - 126 = 0.
-14, 3
Suppose d**3 - 8*d**2 + 15*d = 0. Calculate d.
0, 3, 5
Factor -4*q**5 - 36*q**4 - 120*q**3 - 184*q**2 - 132*q - 36.
-4*(q + 1)**3*(q + 3)**2
Factor p**5/6 - 5*p**4/6 - 19*p**3/2 - 33*p**2/2.
p**2*(p - 11)*(p + 3)**2/6
Factor u**4/6 + 169*u**3/3 + 9407*u**2/2 - 28730*u/3 + 14450/3.
(u - 1)**2*(u + 170)**2/6
Find a, given that -3*a**5 - 21*a**4 - 9*a**3 + 177*a**2 + 312*a + 144 = 0.
-4, -1, 3
Suppose p**4/3 - 20*p**3/3 + 83*p**2/3 - 124*p/3 + 20 = 0. What is p?
1, 2, 15
Determine y so that -3*y**4 - 90*y**3 - 168*y**2 = 0.
-28, -2, 0
Suppose -6*r**4 - 20*r**3 - 24*r**2 - 12*r - 2 = 0. Calculate r.
-1, -1/3
What is u in -2*u**3 + 166*u**2 + 696*u = 0?
-4, 0, 87
Factor -m**2/6 - 67*m/2.
-m*(m + 201)/6
Suppose -3*u**2 - 306*u + 624 = 0. Calculate u.
-104, 2
Factor -5*z**3 + 92*z**2 + 157*z + 60.
-(z - 20)*(z + 1)*(5*z + 3)
Determine t, given that -3*t**4/5 - 2331*t**3/5 - 444546*t**2/5 + 3212832*t/5 - 2765952/5 = 0.
-392, 1, 6
Determine f so that -4*f**5/11 - 190*f**4/11 - 2328*f**3/11 - 260*f**2/11 + 32476*f/11 - 15870/11 = 0.
-23, -5, 1/2, 3
Find r such that -10*r**4/7 + 188*r**3/7 + 38*r**2/7 = 0.
-1/5, 0, 19
Factor j**3 + 36*j**2 + 35*j.
j*(j + 1)*(j + 35)
Factor -6*i**3 + 386*i**2 + 778*i/3 + 130/3.
-2*(i - 65)*(3*i + 1)**2/3
Solve 3*g**5 - 90*g**4 + 78*g**3 + 276*g**2 - 441*g + 174 = 0.
-2, 1, 29
Let 3*j**5 - 15*j**4 + 12*j**3 = 0. What is j?
0, 1, 4
Suppose -2*z**3/15 - 2*z**2/3 + 2*z/15 + 2/3 = 0. Calculate z.
-5, -1, 1
Solve 60*h**2/11 + 34*h/11 - 4/11 = 0.
-2/3, 1/10
Determine f, given that 2*f**3/3 + 68*f**2 - 416*f/3 = 0.
-104, 0, 2
Factor -a**3/7 + 2*a**2/7 + a/7 - 2/7.
-(a - 2)*(a - 1)*(a + 1)/7
Determine t, given that t**4/4 - 315*t**3/4 + 6162*t**2 + 6241*t = 0.
-1, 0, 158
What is p in 3*p**2/2 + 39*p/2 + 18 = 0?
-12, -1
Factor -4*x**2/3 - 56*x/3 + 128/3.
-4*(x - 2)*(x + 16)/3
Factor -2*m**3/3 - 362*m**2/3 - 710*m/3 + 358.
-2*(m - 1)*(m + 3)*(m + 179)/3
Factor 2*s**2/17 + 92*s/17 - 126.
2*(s - 17)*(s + 63)/17
Factor l**4/8 - 3*l**3/4 - 25*l**2/8 - 9*l/4.
l*(l - 9)*(l + 1)*(l + 2)/8
What is u in -3*u**2 - 5448*u - 2473392 = 0?
-908
Suppose -4*i**5/3 - 104*i**4/3 - 260*i**3/3 + 368*i**2/3 = 0. Calculate i.
-23, -4, 0, 1
Factor -9*s**3 - 84*s**2 - 159*s - 84.
-3*(s + 1)*(s + 7)*(3*s + 4)
Suppose 4*y**4 - 52*y**3 + 248*y**2 - 512*y + 384 = 0. What is y?
2, 3, 4
Factor -3*y**2 + 9*y - 6.
-3*(y - 2)*(y - 1)
Suppose -3*a**2 + 141*a = 0. Calculate a.
0, 47
Solve w**3/3 - w**2/3 = 0 for w.
0, 1
Factor -5*v**4 + 20*v**3 - 15*v**2 - 20*v + 20.
-5*(v - 2)**2*(v - 1)*(v + 1)
Factor 2*w**4/9 - 22*w**3/9 - 68*w**2/3.
2*w**2*(w - 17)*(w + 6)/9
Find h such that -10*h**3 + 612*h**2 - 9720*h + 10800 = 0.
6/5, 30
Factor -5*v**3 + 70*v**2 + 340*v + 360.
-5*(v - 18)*(v + 2)**2
Factor 5*f**5 + 25*f**4 + 45*f**3 + 35*f**2 + 10*f.
5*f*(f + 1)**3*(f + 2)
Determine u so that 5*u**4 - 40*u**2 + 80 = 0.
-2, 2
Factor 361*s**2 + 152*s + 16.
(19*s + 4)**2
Let -4*u**4 - 312*u**3 - 5748*u**2 + 13760*u + 19200 = 0. What is u?
-40, -1, 3
Suppose -2*c**5/7 - 30*c**4/7 - 18*c**3/7 + 134*c**2/7 - 12*c = 0. What is c?
-14, -3, 0, 1
Find m such that -3*m**2 - 90*m = 0.
-30, 0
Factor 36963*d**2 - 1110*d + 25/3.
(333*d - 5)**2/3
Find f such that f**4/4 - f**3/2 - f**2/4 + f/2 = 0.
-1, 0, 1, 2
Factor -10*v**2 + 3036*v + 1216.
-2*(v - 304)*(5*v + 2)
Factor d**5 - 5*d**4 - 33*d**3 + 81*d**2 + 432*d + 324.
(d - 6)**2*(d + 1)*(d + 3)**2
What is m in -m**3/5 + 124*m**2/5 - 819*m/5 = 0?
0, 7, 117
Solve -5*g**2 + 48*g - 112 = 0 for g.
4, 28/5
What is p in 3*p**2 - 2892*p + 696972 = 0?
482
Suppose 3*d**5/5 + 6*d**4/5 - 18*d**3/5 - 12*d**2 - 57*d/5 - 18/5 = 0. What is d?
-2, -1, 3
Factor 5*g**5 + 10*g**4 - 5*g**3 - 10*g**2.
5*g**2*(g - 1)*(g + 1)*(g + 2)
What is j in -2*j**5/9 + 1034*j**4/9 - 1030*j**3/3 + 3086*j**2/9 - 1028*j/9 = 0?
0, 1, 514
Factor l**4/2 + 178*l**3 + 1763*l**2/2 + 1406*l + 702.
(l + 1)*(l + 2)**2*(l + 351)/2
Determine t, given that -3*t**4 + 549*t**3 + 552*t**2 = 0.
-1, 0, 184
Suppose -4*i**5 - 4*i**4 + 8*i**3 = 0. Calculate i.
-2, 0, 1
Factor -2*a**3/11 + 186*a**2/11 - 718*a/11 + 534/11.
-2*(a - 89)*(a - 3)*(a - 1)/11
Factor 53*p**2 + 213*p + 4.
(p + 4)*(53*p + 1)
Determine l so that 2*l**2/11 - 48*l/11 + 160/11 = 0.
4, 20
Factor -4*j**3 + 2524*j**2 - 399420*j + 396900.
-4*(j - 315)**2*(j - 1)
Suppose -2*x**5/3 + 136*x**4/3 - 372*x**3 - 42992*x**2/3 - 82082*x/3 - 13448 = 0. What is x?
-12, -1, 41
Factor 3*p**2/4 + 93*p/2 + 90.
3*(p + 2)*(p + 60)/4
Let -u**2/3 + 13*u/3 + 68/3 = 0. Calculate u.
-4, 17
Factor -j**5/3 + 5*j**4/3 + 5*j**3/3 - 25*j**2/3 - 40*j/3 - 16/3.
-(j - 4)**2*(j + 1)**3/3
Suppose 5*r**5/3 + 116*r**4 + 5080*r**3/3 + 9024*r**2 + 14832*r - 7488 = 0. Calculate r.
-52, -6, 2/5
Determine k so that -180*k**3 - 3415*k**2 + 105*k + 190 = 0.
-19, -2/9, 1/4
Factor -3*h**3/5 - 36*h**2/5 - 81*h/5 + 24.
-3*(h - 1)*(h + 5)*(h + 8)/5
Determine k, given that 2*k**3 + 76*k**2 + 342*k + 396 = 0.
-33, -3, -2
Solve 2*q**4/11 - 216*q**3/11 - 888*q**2/11 - 896*q/11 = 0 for q.
-2, 0, 112
Determine h, given that -15*h**4 - 6560*h**3 - 715030*h**2 + 481800*h + 239805 = 0.
-219, -1/3, 1
Factor c**3/2 + 329*c**2/6 + 586*c/3 + 106.
(c + 3)*(c + 106)*(3*c + 2)/6
Suppose -2*j**3 + 44*j**2 + 578*j - 620 = 0. What is j?
-10, 1, 31
Let -3*k**5 - 24*k**4 + 30*k**3 + 24*k**2 - 27*k = 0. Calculate k.
-9, -1, 0, 1
Determine b so that 3*b**3/4 + 123*b**2 + 5043*b = 0.
-82, 0
What is a in -a**2 - 47*a + 1998 = 0?
-74, 27
Determine q, given that q**3/5 + 159*q**2/5 - 32*q = 0.
-160, 0, 1
Factor -10*h**3 - 24*h**2 + 22*h + 12.
-2*(h - 1)*(h + 3)*(5*h + 2)
Let x**2 + 306*x = 0. Calculate x.
-306, 0
Factor 16*k**3 - 1696*k**2 - 1708*k - 428.
4*(k - 107)*(2*k + 1)**2
Factor 3*o**2/8 - 939*o/8 + 933/4.
3*(o - 311)*(o - 2)/8
Determine d, given that -d**2/3 - 438*d - 143883 = 0.
-657
Factor -a**2/6 - 11*a/6 - 4.
-(a + 3)*(a + 8)/6
Factor -t**3/4 + 399*t**2/4 - 10290*t + 67228.
-(t - 196)**2*(t - 7)/4
Determine c, given that -c**3/3 - 32*c**2/3 + 185*c/3 = 0.
-37, 0, 5
Solve a**5/2 + 18*a**4 - 37*a**3/2 = 0.
-37, 0, 1
Find l such that -56*l**4/9 - 646*l**3/9 - 298*l**2/3 - 344*l/9 - 40/9 = 0.
-10, -1, -2/7, -1/4
Factor l**2/5 + 194*l/5 + 384/5.
(l + 2)*(l + 192)/5
Let 4*h**3/9 + 8