 5*k + 15 = 0. What is k?
-3, -1, 1
Factor 3*n**3 - 39*n**2 + 132*n - 96.
3*(n - 8)*(n - 4)*(n - 1)
Solve 2*i**3 + 18*i**2 - 24*i - 40 = 0 for i.
-10, -1, 2
Solve 5*o**2 + 65*o + 60 = 0 for o.
-12, -1
Find i, given that -5*i**2/8 + 9*i/4 + 99/8 = 0.
-3, 33/5
Determine j so that 5*j**4 - 15*j**3 - 35*j**2 + 135*j - 90 = 0.
-3, 1, 2, 3
Factor 2*f**5 - 112*f**4 + 2352*f**3 - 21952*f**2 + 76832*f.
2*f*(f - 14)**4
Factor 2*f**3/11 - 54*f**2/11 - 68*f/11 + 336/11.
2*(f - 28)*(f - 2)*(f + 3)/11
Suppose 2*v**4/5 - 26*v**2/5 + 24*v/5 = 0. Calculate v.
-4, 0, 1, 3
Factor -7*q**3/4 - 19*q**2/4 + 3*q/2.
-q*(q + 3)*(7*q - 2)/4
Determine m, given that -8*m**5 - 950*m**4/3 - 8324*m**3/3 - 1538*m**2 - 216*m = 0.
-27, -12, -1/3, -1/4, 0
Factor -6*q**2/11 + 216*q/11 + 702/11.
-6*(q - 39)*(q + 3)/11
Find p such that -2*p**2/15 - 46*p/5 = 0.
-69, 0
Suppose c**5/5 - 6*c**4/5 + 6*c**3/5 + 4*c**2 - 39*c/5 + 18/5 = 0. What is c?
-2, 1, 3
Suppose -75*g**5 - 5045*g**4 - 82936*g**3 + 65208*g**2 + 27472*g - 4624 = 0. Calculate g.
-34, -2/5, 2/15, 1
Factor -w**3 - 4*w**2 + 3*w + 18.
-(w - 2)*(w + 3)**2
Suppose -2*k**4/3 - 38*k**3/3 - 208*k**2/3 - 352*k/3 = 0. What is k?
-11, -4, 0
Suppose 196*h**3/3 + 262528*h**2/3 - 150064*h/3 + 21440/3 = 0. What is h?
-1340, 2/7
Suppose 25*d**4 + 5*d**3 - 521*d**2 - 609*d - 180 = 0. What is d?
-4, -3/5, 5
Suppose 5*s**2 - 40*s - 165 = 0. Calculate s.
-3, 11
Find c such that -c**3 + c**2 + 6*c = 0.
-2, 0, 3
Factor -v**3/3 - 5*v**2/3 + 22*v/3 - 16/3.
-(v - 2)*(v - 1)*(v + 8)/3
Factor -t**3 - 4*t**2 + 15*t + 18.
-(t - 3)*(t + 1)*(t + 6)
Factor 10*u**2 - 974*u + 388.
2*(u - 97)*(5*u - 2)
Factor c**2/4 - 175*c/2 + 30625/4.
(c - 175)**2/4
Let 9*y**4 - 20*y**3 - 41*y**2 + 64*y - 12 = 0. What is y?
-2, 2/9, 1, 3
Determine b, given that 4*b**5 + 13*b**4 - 33*b**3 + 11*b**2 + 5*b = 0.
-5, -1/4, 0, 1
Solve 2*j**3/3 - 16*j**2/3 + 14*j/3 = 0 for j.
0, 1, 7
Find q such that 6*q**5 - 831*q**4 + 28974*q**3 - 13452*q**2 - 28980*q + 14283 = 0.
-1, 1/2, 1, 69
Factor s**4/4 - 7*s**3/2 - 31*s**2/4 - 4*s.
s*(s - 16)*(s + 1)**2/4
Factor u**4/4 + 110*u**3 + 32193*u**2/2 + 777924*u - 3176523/4.
(u - 1)*(u + 147)**3/4
Factor 2*b**3 + 32*b**2 + 170*b + 300.
2*(b + 5)**2*(b + 6)
Find o, given that o**5/5 - 13*o**4/5 - 194*o**3/5 - 774*o**2/5 - 243*o - 621/5 = 0.
-3, -1, 23
Find l such that 4*l**4/5 + 7*l**3/5 - 6*l**2 + 23*l/5 - 4/5 = 0.
-4, 1/4, 1
Determine h so that h**3/4 + 39*h**2 - h/4 - 39 = 0.
-156, -1, 1
Suppose 5*r**3 - 20*r**2 - 55*r - 30 = 0. Calculate r.
-1, 6
Factor -4*q**2 + 676*q.
-4*q*(q - 169)
Find g such that 4*g**5/9 + 4*g**4 + 80*g**3/9 + 16*g**2/3 = 0.
-6, -2, -1, 0
Solve u**3/5 - 122*u**2/5 = 0.
0, 122
Factor 4*k**4/9 - 28*k**3/9 + 20*k**2/3 - 52*k/9 + 16/9.
4*(k - 4)*(k - 1)**3/9
Factor 3*c**2/8 - 69*c/4 - 141/8.
3*(c - 47)*(c + 1)/8
Suppose -2*l**2/13 - 170*l/13 - 168/13 = 0. What is l?
-84, -1
Let 21*t**5 + 66*t**4 + 30*t**3 - 60*t**2 - 51*t - 6 = 0. Calculate t.
-2, -1, -1/7, 1
Factor -2*o**4 + 56*o**3 + 2*o**2 - 56*o.
-2*o*(o - 28)*(o - 1)*(o + 1)
Factor -3*u**3/2 - 99*u**2/2 - 189*u/2 - 93/2.
-3*(u + 1)**2*(u + 31)/2
Factor l**3 - 61*l**2 - 196*l + 256.
(l - 64)*(l - 1)*(l + 4)
Factor -2*j**2/5 - 416*j/5 + 418/5.
-2*(j - 1)*(j + 209)/5
Factor -s**2/6 + 2*s + 80/3.
-(s - 20)*(s + 8)/6
Factor -2*b**3/9 + 8*b**2/3 + 2*b/9 - 8/3.
-2*(b - 12)*(b - 1)*(b + 1)/9
What is z in 5*z**2/2 + 205*z/2 - 105 = 0?
-42, 1
Factor 4*t**2 + 25200*t + 39690000.
4*(t + 3150)**2
Determine h, given that -2*h**3/15 - 2*h**2/5 + 4*h/5 + 16/15 = 0.
-4, -1, 2
Factor -3*c**4 - 3*c**3.
-3*c**3*(c + 1)
Solve 4*x**2/7 + 48*x/7 = 0 for x.
-12, 0
What is n in 4*n**4 - 128*n**3 + 348*n**2 = 0?
0, 3, 29
Determine p, given that -2*p**2/15 - 326*p/15 - 108/5 = 0.
-162, -1
Find u such that 4*u**3 - 124*u**2 + 1196*u - 3380 = 0.
5, 13
What is i in 25*i**5/3 - 45*i**4 + 250*i**3/3 - 60*i**2 + 40*i/3 = 0?
0, 2/5, 1, 2
Factor 64*k**3 - 32*k**2 + 4*k.
4*k*(4*k - 1)**2
Determine n so that 3*n**4/2 + 9*n**3 - 6*n**2 - 36*n = 0.
-6, -2, 0, 2
Factor -3*u**4 + 258*u**3 - 507*u**2 + 252*u.
-3*u*(u - 84)*(u - 1)**2
Factor -4*t**5 + 160*t**4 + 24*t**3 - 992*t**2 + 1292*t - 480.
-4*(t - 40)*(t - 1)**3*(t + 3)
Let -a**4/3 - 11*a**3/3 - 31*a**2/3 - 7*a = 0. Calculate a.
-7, -3, -1, 0
Factor -k**4 - 3683*k**3 - 3392963*k**2 - 3389281*k.
-k*(k + 1)*(k + 1841)**2
Factor q**4 + 57*q**3 + 655*q**2 - 4557*q + 3844.
(q - 4)*(q - 1)*(q + 31)**2
Factor a**2 - 88*a.
a*(a - 88)
Solve h**4/2 - 7*h**3/2 + 15*h**2/2 - 9*h/2 = 0.
0, 1, 3
Factor -55*h**3 + 205*h**2 - 230*h + 80.
-5*(h - 2)*(h - 1)*(11*h - 8)
Factor 3*s**3 - 3*s**2 - 18*s.
3*s*(s - 3)*(s + 2)
Suppose -5*p**4 + 1525*p**3 + 4610*p**2 + 3080*p = 0. What is p?
-2, -1, 0, 308
Factor -h**5 - 230*h**4 + 930*h**3 - 1400*h**2 + 935*h - 234.
-(h - 1)**4*(h + 234)
Solve 15*t**5 - 54*t**4 + 21*t**3 + 18*t**2 = 0 for t.
-2/5, 0, 1, 3
Solve -2*x**2/7 + 10*x/7 - 12/7 = 0 for x.
2, 3
Factor 5*j**3 - 80*j.
5*j*(j - 4)*(j + 4)
Factor 5*b**3 - 535*b**2 - 1090*b.
5*b*(b - 109)*(b + 2)
Factor -v**5/9 - 8*v**4/3 - 32*v**3/9 + 304*v**2/9 + 304*v/3 + 704/9.
-(v - 4)*(v + 2)**3*(v + 22)/9
Let 3*v**2 + 480*v - 483 = 0. What is v?
-161, 1
Suppose -4*o**5 + 40*o**4 - 68*o**3 + 32*o**2 = 0. Calculate o.
0, 1, 8
Factor -k**3/3 + 10*k**2/3 + 101*k/3 - 210.
-(k - 14)*(k - 5)*(k + 9)/3
Suppose l**2/2 - 2707*l/2 + 1353 = 0. Calculate l.
1, 2706
Suppose 5408*j**2/3 + 208*j/3 + 2/3 = 0. What is j?
-1/52
Factor -3*b**5/2 - 9*b**4 - 18*b**3 - 15*b**2 - 9*b/2.
-3*b*(b + 1)**3*(b + 3)/2
Suppose v**2/2 + 43*v/2 + 95 = 0. Calculate v.
-38, -5
Determine o so that -5*o**5/4 - 295*o**4/4 - 1190*o**3 - 2935*o**2 + 280*o + 3920 = 0.
-28, -2, 1
Let 2*v**3/11 + 672*v**2/11 + 5070*v - 114244/11 = 0. What is v?
-169, 2
What is y in y**5/3 - 164*y**4/3 - y**3 + 494*y**2/3 - 328*y/3 = 0?
-2, 0, 1, 164
Determine q so that -882*q**4 + 714*q**3 + 1924*q**2 + 344*q + 16 = 0.
-1, -2/21, 2
What is s in 4*s**3/11 - 6*s**2/11 = 0?
0, 3/2
Suppose 2*v**5/7 + 18*v**4/7 + 26*v**3/7 - 90*v**2/7 - 100*v/7 = 0. Calculate v.
-5, -1, 0, 2
Let 9*m**4 - 42*m**3 + 69*m**2 - 48*m + 12 = 0. Calculate m.
2/3, 1, 2
Determine n, given that 2*n**3 + 32*n**2 - 254*n + 220 = 0.
-22, 1, 5
Let -4*p**4 - 72*p**3 - 484*p**2 - 1440*p - 1600 = 0. What is p?
-5, -4
Factor -2*u**3 + 42*u**2 - 240*u + 416.
-2*(u - 13)*(u - 4)**2
Determine s, given that -9*s**4 - 1847*s**3 + 1462*s**2 + 4124*s + 824 = 0.
-206, -1, -2/9, 2
Let -16*u**3/7 - 3324*u**2/7 + 832*u/7 = 0. What is u?
-208, 0, 1/4
Factor -5*m**2 - 85*m - 150.
-5*(m + 2)*(m + 15)
What is m in 32*m**2/3 - 28*m/3 - 20 = 0?
-1, 15/8
Factor -20*p**3 - 18775*p**2 - 14065*p + 4690.
-5*(p + 1)*(p + 938)*(4*p - 1)
Factor -3*g**3/2 + 33*g**2/2 - 69*g/2 - 105/2.
-3*(g - 7)*(g - 5)*(g + 1)/2
Factor 14*w**4/5 + 188*w**3/5 + 574*w**2/5 - 392*w/5.
2*w*(w + 7)**2*(7*w - 4)/5
Solve -2*k**2/7 + 2736*k/7 = 0.
0, 1368
Determine c so that -4*c**2 + 232*c + 236 = 0.
-1, 59
Factor -y**3 - 93*y**2 - 2115*y + 2209.
-(y - 1)*(y + 47)**2
Factor 92*c**3 + 3676*c**2 + 36640*c - 1600.
4*(c + 20)**2*(23*c - 1)
Solve 20*o**4 - 80*o**3 + 105*o**2 - 45*o = 0 for o.
0, 1, 3/2
Factor 5*x**3 - 8055*x**2 + 32160*x - 32140.
5*(x - 1607)*(x - 2)**2
Determine t, given that t**4/11 + 9*t**3 + 744*t**2/11 + 1456*t/11 = 0.
-91, -4, 0
Let g**3/5 - 58*g**2/5 + 57*g/5 = 0. What is g?
0, 1, 57
Solve 3*x**2 + 69*x + 378 = 0.
-14, -9
Determine g so that 3*g**3 + 183*g**2 + 2697*g - 2883 = 0.
-31, 1
Let h**4 - 3*h**3 - 6*h**2 + 8*h = 0. What is h?
-2, 0, 1, 4
Solve p**4 + 5*p**3 + 7*p**2 + 3*p = 0.
-3, -1, 0
Factor -2*o**4/3 + 12*o**3 + 26*o**2 + 40*o/3.
-2*o*(o - 20)*(o + 1)**2/3
Factor -5*u**4 - 410*u**3 - 8405*u**2.
-5*u**2*(u + 41)**2
Let -p**2/4 - 8*p + 132 = 0. What is p?
-44, 12
Let 4*c**4 + 32*c**3 - 796*c**2 - 4232*c + 4992 = 0. Calculate c.
-16, -6, 1, 13
Determine r, given that -4*r**5 - 728*r**4 + 4468*r**3 - 8248*r**2 + 4512*r = 0.
-188, 0, 1, 2, 3
What is q in -4*q**4 + 116*q**3 - 108*q**2 - 116*q + 112 = 0?
-1, 1, 28
Factor 7*r**4 - 481*r**3 + 2571*r**2 - 3195*r - 1134.
(r - 63)*(r - 3)**2*(7*r + 2)
Factor 5*r**4 - 60*r**3 - 70*r**2 + 60*r + 65.
5*(r - 13)*(r - 1)*(r + 1)**2
Factor -10*m**2/13 + 148*m/13 + 30/13.
-2*(m - 15)*(5*m + 1)/13
Factor -s**3 + 2*s**2 + 7*s + 4.
-(s - 4)*(s + 1)**2
Solve x**5/4 