-5, -2, 2/3
Determine a so that -2*a**3/3 + 146*a**2/3 - 2302*a/3 - 2450/3 = 0.
-1, 25, 49
Determine q so that -q**2/4 - 2177*q/4 = 0.
-2177, 0
Factor 2*n**3/5 - 26*n**2/5 + 64*n/5 - 8.
2*(n - 10)*(n - 2)*(n - 1)/5
Suppose -4*h**5 - 8*h**4 + 32*h**3 - 8*h**2 - 28*h + 16 = 0. What is h?
-4, -1, 1
Find u such that u**4 + 8*u**3 - 58*u**2 + 88*u - 39 = 0.
-13, 1, 3
Find t, given that t**3 - 183*t**2 + 8640*t - 24300 = 0.
3, 90
Factor j**3/7 + j**2/7 - 8*j/7 - 12/7.
(j - 3)*(j + 2)**2/7
Let -r**5 - 2*r**4 + 3*r**3 + 8*r**2 + 4*r = 0. What is r?
-2, -1, 0, 2
What is n in 2*n**5/23 - 6*n**4/23 + 4*n**3/23 + 4*n**2/23 - 6*n/23 + 2/23 = 0?
-1, 1
Find w, given that 2*w**4/7 + 2*w**3/7 - 30*w**2/7 + 46*w/7 - 20/7 = 0.
-5, 1, 2
Find y, given that -y**2 + 12*y - 32 = 0.
4, 8
Let u**3 + 51*u**2 - 526*u + 840 = 0. Calculate u.
-60, 2, 7
What is l in -867*l**2 - 4341*l - 30 = 0?
-5, -2/289
Factor -u**4/6 + 12*u**3 - 235*u**2/3 + 164*u - 195/2.
-(u - 65)*(u - 3)**2*(u - 1)/6
What is q in 2*q**3/9 + 8*q**2/3 + 14*q/3 + 20/9 = 0?
-10, -1
Find h, given that -3*h**5/5 + 9*h**4/5 - 3*h**3/5 - 9*h**2/5 + 6*h/5 = 0.
-1, 0, 1, 2
Suppose v**2/2 + 41*v + 81/2 = 0. Calculate v.
-81, -1
Solve 4*q**3/3 + 16*q**2/3 = 0 for q.
-4, 0
Factor 5*q**5 - 20*q**4 - 25*q**3.
5*q**3*(q - 5)*(q + 1)
Factor -c**2 + 16*c - 15.
-(c - 15)*(c - 1)
What is w in 2*w**4 - 156*w**3/5 + 186*w**2/5 + 104*w + 168/5 = 0?
-1, -2/5, 3, 14
Determine h so that h**4/2 - 2*h**3 - 7*h**2/2 + 5*h = 0.
-2, 0, 1, 5
Find m, given that -m**5 - 16*m**4 + m**3 + 16*m**2 = 0.
-16, -1, 0, 1
Factor -2*x**2 + 3*x/2 + 1/2.
-(x - 1)*(4*x + 1)/2
Suppose -2*d**5/13 + 22*d**4/13 - 60*d**3/13 = 0. Calculate d.
0, 5, 6
Factor -2500*t**4/3 + 2200*t**3/3 + 97*t**2 + 3*t.
-t*(t - 1)*(50*t + 3)**2/3
Find a such that -2*a**5/5 - 146*a**4/5 - 286*a**3/5 - 142*a**2/5 = 0.
-71, -1, 0
What is t in 2*t**2/13 + 2152*t/13 + 578888/13 = 0?
-538
Factor 2*w**2 + 18*w.
2*w*(w + 9)
Factor 4*i**4 + 112*i**3 - 492*i**2 + 632*i - 256.
4*(i - 2)*(i - 1)**2*(i + 32)
Determine s, given that -s**5/4 - 13*s**4/4 - 31*s**3/4 - 7*s**2/4 + 8*s + 5 = 0.
-10, -2, -1, 1
Factor -5*n**4 - 20*n**3 + 20*n**2 + 80*n.
-5*n*(n - 2)*(n + 2)*(n + 4)
Solve 3*m**3/5 + 19*m**2/5 + 6*m + 8/5 = 0 for m.
-4, -2, -1/3
Factor 3*f**4 + 2878*f**3 + 959*f**2.
f**2*(f + 959)*(3*f + 1)
Factor -10*z**4/3 + 64*z**3/9 - 38*z**2/9 + 4*z/9.
-2*z*(z - 1)**2*(15*z - 2)/9
Let 4*r**3/3 + r**2/2 - 4*r/3 - 1/2 = 0. Calculate r.
-1, -3/8, 1
Solve -5*y**4 - 55*y**3 + 585*y**2 + 1315*y + 680 = 0.
-17, -1, 8
Suppose 5*s**2 - 140*s + 980 = 0. What is s?
14
Suppose 19683*z**5 - 161838*z**4 + 35316*z**3 - 2600*z**2 + 64*z = 0. Calculate z.
0, 2/27, 8
Factor 15*h**5 + 10*h**4 - 25*h**3.
5*h**3*(h - 1)*(3*h + 5)
Suppose -2*f**3/9 + 62*f/9 + 20/3 = 0. What is f?
-5, -1, 6
Suppose -11*x**3/4 + 197*x**2/2 + 18*x = 0. What is x?
-2/11, 0, 36
Determine r, given that 6*r**3 + 176*r**2/3 + 392*r/3 - 32 = 0.
-6, -4, 2/9
Suppose m**2/2 - 45*m/2 + 43 = 0. Calculate m.
2, 43
Solve 5*k**2 - 3180*k - 6380 = 0.
-2, 638
Solve -9*d**5/2 - 1023*d**4/2 - 321*d**3 + 2046*d**2 + 1356*d = 0 for d.
-113, -2, -2/3, 0, 2
Factor j**3/4 - 61*j**2 - j + 244.
(j - 244)*(j - 2)*(j + 2)/4
Factor -3*z**2 - 18*z - 24.
-3*(z + 2)*(z + 4)
Factor 5*c**2 - 15*c - 20.
5*(c - 4)*(c + 1)
What is z in z**3/4 - 15*z**2/4 - 9*z/2 + 8 = 0?
-2, 1, 16
Factor -108*o**3/7 - 180*o**2/7 + 69*o/7 - 6/7.
-3*(o + 2)*(6*o - 1)**2/7
Factor -a**3 + 7*a**2 - 6*a.
-a*(a - 6)*(a - 1)
Factor s**3 + 598*s**2 + 1193*s + 596.
(s + 1)**2*(s + 596)
Factor 12*q**2 + 34*q - 6.
2*(q + 3)*(6*q - 1)
Determine b so that -b**5/2 - 77*b**4 - 6081*b**3/2 - 5852*b**2 - 2888*b = 0.
-76, -1, 0
What is v in -3*v**5 + 141*v**4 - 1725*v**3 + 1587*v**2 = 0?
0, 1, 23
Factor 4*f**5 + 308*f**4 + 7468*f**3 + 45036*f**2 - 279936*f + 314928.
4*(f - 2)**2*(f + 27)**3
Factor -a**4/7 + 20*a**3/7 - 148*a**2/7 + 480*a/7 - 576/7.
-(a - 6)**2*(a - 4)**2/7
Factor 2*t**2 + 56*t - 58.
2*(t - 1)*(t + 29)
Solve -24*o**3 - 596*o**2 + 100*o = 0.
-25, 0, 1/6
Suppose 2*b**3/9 + 44*b**2/9 + 14*b/3 = 0. Calculate b.
-21, -1, 0
Suppose 3*v**2 + 87*v + 84 = 0. What is v?
-28, -1
Factor -2*z**2/7 + 160*z/7 + 162/7.
-2*(z - 81)*(z + 1)/7
Factor u**3 - 23*u**2/2 + 26*u + 16.
(u - 8)*(u - 4)*(2*u + 1)/2
Factor 2*b**4/13 + 68*b**3/13.
2*b**3*(b + 34)/13
Factor f**4/3 - 79*f**3 - 482*f**2 - 2908*f/3 - 648.
(f - 243)*(f + 2)**3/3
Determine k so that k**5 + 14*k**4 + 48*k**3 - 14*k**2 - 49*k = 0.
-7, -1, 0, 1
Factor 12*x**3 + 89*x**2/3 + 21*x + 10/3.
(x + 1)*(4*x + 5)*(9*x + 2)/3
Determine k so that 9*k**5/4 - 21*k**4/2 + 39*k**3/4 + 27*k**2/2 - 15*k - 6 = 0.
-1, -1/3, 2
Let -2*c**3/11 - 3914*c**2/11 - 1916880*c/11 - 1912968/11 = 0. Calculate c.
-978, -1
Determine s, given that 6*s**5 + 11*s**4 + 4*s**3 - s**2 = 0.
-1, 0, 1/6
Factor 2*c**2 - 210*c + 208.
2*(c - 104)*(c - 1)
Factor -2*a**4 + 128*a**3 - 1916*a**2 - 4224*a - 2178.
-2*(a - 33)**2*(a + 1)**2
Suppose -3*m**4/2 + 3*m**3 + 585*m**2/2 = 0. What is m?
-13, 0, 15
Let 21*x**5 + 240*x**4 - 282*x**3 - 240*x**2 + 261*x = 0. What is x?
-87/7, -1, 0, 1
Let 15*v**5 - 108*v**4 + 144*v**3 + 354*v**2 - 783*v + 378 = 0. Calculate v.
-2, 1, 3, 21/5
Factor 2*a**5 + 34*a**4 + 126*a**3 - 162*a**2.
2*a**2*(a - 1)*(a + 9)**2
Determine i, given that -2*i**4 - 106*i**3/5 - 146*i**2/5 - 14*i/5 + 36/5 = 0.
-9, -1, 2/5
Factor -x**2 - 51*x + 106.
-(x - 2)*(x + 53)
Find g, given that -g**2 + 44*g - 123 = 0.
3, 41
Determine p, given that -2*p**2 + 1320*p - 2632 = 0.
2, 658
Solve -27*x**5 - 3*x**4 + 29*x**3 + 3*x**2 - 2*x = 0 for x.
-1, -1/3, 0, 2/9, 1
Solve 2*q**4/5 - 28*q**3/5 + 10*q**2 - 24*q/5 = 0.
0, 1, 12
Factor 3*y**5 + 6*y**4 - 24*y**3 + 6*y**2 + 21*y - 12.
3*(y - 1)**3*(y + 1)*(y + 4)
Find i such that -5*i**2/3 + 1480*i/3 - 109520/3 = 0.
148
Factor -2*u**3/13 + 1398*u**2/13 - 1396*u/13.
-2*u*(u - 698)*(u - 1)/13
Find q such that -4*q**3/7 - 17*q**2/7 - 23*q/7 - 10/7 = 0.
-2, -5/4, -1
Factor 4*l**5/7 + 10*l**4/7 + 6*l**3/7 - 2*l**2/7 - 2*l/7.
2*l*(l + 1)**3*(2*l - 1)/7
What is j in -35*j**4 + 395*j**3 - 110*j**2 = 0?
0, 2/7, 11
Find f such that 3*f**3 - 33*f**2 + 117*f - 135 = 0.
3, 5
Factor 5*q**5 - 25*q**4 + 20*q**3 + 80*q**2 - 160*q + 80.
5*(q - 2)**3*(q - 1)*(q + 2)
Suppose -3*q**4 + 78*q**3 + 348*q**2 + 360*q = 0. What is q?
-2, 0, 30
Factor 2*h**3/5 - 3*h**2/5.
h**2*(2*h - 3)/5
Let 4*s**3/7 - 52*s**2/7 - 184*s/7 - 128/7 = 0. Calculate s.
-2, -1, 16
Factor 2*z**4 - 62*z**3 + 654*z**2 - 2538*z + 1944.
2*(z - 12)*(z - 9)**2*(z - 1)
Factor -r**2/6 + 3*r + 21/2.
-(r - 21)*(r + 3)/6
Factor -2*a**4/9 + 98*a**3/3 + 296*a**2/9.
-2*a**2*(a - 148)*(a + 1)/9
Factor -4*j**4 - 20*j**3 - 16*j**2.
-4*j**2*(j + 1)*(j + 4)
Suppose z**2 - 6*z - 7 = 0. Calculate z.
-1, 7
Factor 4*p**2/9 - 104*p + 3680/9.
4*(p - 230)*(p - 4)/9
Factor 20*y**3 - 2335*y**2 + 1735*y + 580.
5*(y - 116)*(y - 1)*(4*y + 1)
Solve 7*d**4 + 51*d**3 + 7*d**2 - 51*d - 14 = 0 for d.
-7, -1, -2/7, 1
Determine c, given that -c**3/5 - 3*c**2 - 48*c/5 + 64/5 = 0.
-8, 1
What is i in -3*i**3/8 + 189*i**2/4 - 375*i/8 = 0?
0, 1, 125
Factor -h**3 + 3*h**2 + 10*h.
-h*(h - 5)*(h + 2)
Determine t, given that t**4 - 64*t**3 + 294*t**2 + 64*t - 295 = 0.
-1, 1, 5, 59
Factor 2*i**3/15 - 8*i/5 - 32/15.
2*(i - 4)*(i + 2)**2/15
Factor -x**4/10 - 7*x**3/2 - 144*x**2/5 + 162*x/5.
-x*(x - 1)*(x + 18)**2/10
Factor 6*k**4/7 + 20*k**3/7 + 6*k**2/7.
2*k**2*(k + 3)*(3*k + 1)/7
Factor 5*w**3 + 4450*w**2 + 994560*w + 1971360.
5*(w + 2)*(w + 444)**2
Factor -g**3/6 - 3133*g**2/6 - 2452355*g/6 + 2455489/6.
-(g - 1)*(g + 1567)**2/6
Factor -3*j**2 + 1584*j + 3180.
-3*(j - 530)*(j + 2)
Factor -3*o**5 + 69*o**4 - 633*o**3 + 2895*o**2 - 6600*o + 6000.
-3*(o - 5)**3*(o - 4)**2
Determine k, given that k**2/7 + 780*k/7 + 152100/7 = 0.
-390
Let 5*h**2 + 325*h + 630 = 0. What is h?
-63, -2
Determine k so that k**3 + 360*k**2 - 1087*k + 726 = 0.
-363, 1, 2
Factor 3*v**2 - 90*v - 297.
3*(v - 33)*(v + 3)
Determine o, given that 2*o**3/17 - 26*o**2/17 - 28*o/17 = 0.
-1, 0, 14
Solve -55*g**4 - 890*g**3 - 4395*g**2 - 6160*g - 980 = 0 for g.
-7, -2, -2/11
Solve 4*b**3/7 + 3792*b**2/7 + 1198272*b/7 + 126217984/7 = 0 for b.
-316
Find z such that 5*z**5 - 55*z**4 + 180*z**3 - 20*z**2 - 800*z + 960 = 0.
-2, 2, 3, 4
Let -z**5 - 3*z**4 - z**3 + 3*z**2 + 2*z = 