83*r/3 - 178.
(r - 6)*(r + 89)/3
Factor -3*g**2/8 - 126*g + 5115/8.
-3*(g - 5)*(g + 341)/8
Suppose 6*c**4/7 - 2*c**3/7 - 16*c**2/7 - 8*c/7 = 0. Calculate c.
-1, -2/3, 0, 2
Determine x so that -4*x**2/3 + 8*x/3 + 32/3 = 0.
-2, 4
Factor -2*w**2 + 70*w.
-2*w*(w - 35)
Determine h, given that -h**4/3 - 661*h**3/3 + 664*h**2/3 + 1324*h/3 = 0.
-662, -1, 0, 2
Factor 3745*g**3 - 7505*g**2 + 3775*g - 15.
5*(g - 1)**2*(749*g - 3)
Let 3*h**5/4 - 3*h**4/4 - 21*h**3/4 + 3*h**2/4 + 9*h/2 = 0. Calculate h.
-2, -1, 0, 1, 3
Solve -30*c**3 + 265*c**2 + 55*c - 90 = 0.
-2/3, 1/2, 9
Factor -2*f**3/3 + 20*f**2/3 + 74*f/3 + 52/3.
-2*(f - 13)*(f + 1)*(f + 2)/3
Solve -27*c**5/5 + 18*c**4/5 + 24*c**3/5 - 18*c**2/5 + 3*c/5 = 0.
-1, 0, 1/3, 1
Factor -4*f**3 + 56*f**2.
-4*f**2*(f - 14)
Determine l so that 5*l**2 + 540*l + 3060 = 0.
-102, -6
Factor -5*j**2 + 165*j + 170.
-5*(j - 34)*(j + 1)
Factor 5*o**3 - 1020*o**2 + 69360*o - 1572160.
5*(o - 68)**3
Factor -5*x**2 - 4590*x.
-5*x*(x + 918)
Solve 5*o**4 - 125*o**3 = 0.
0, 25
Determine g so that -g**2/8 - 467*g/8 = 0.
-467, 0
Factor -g**3/2 + 133*g**2/2 - 4851*g/2 + 27783/2.
-(g - 63)**2*(g - 7)/2
Determine p so that 2*p**2/11 + 21392*p/11 + 57202208/11 = 0.
-5348
Factor -2*v**2/13 - 66*v/13 + 216/13.
-2*(v - 3)*(v + 36)/13
Suppose -3*h**3 - 243*h**2 - 4257*h + 27735 = 0. What is h?
-43, 5
Factor 3481*y**3/2 + 3835*y**2/2 + 363*y/2 + 9/2.
(y + 1)*(59*y + 3)**2/2
Factor 4*l**5 - 20*l**4 + 36*l**3 - 28*l**2 + 8*l.
4*l*(l - 2)*(l - 1)**3
Let -v**2/3 + 31*v/3 - 10 = 0. What is v?
1, 30
Factor -2*x**3/7 + 10*x**2/7 + 92*x/7 + 80/7.
-2*(x - 10)*(x + 1)*(x + 4)/7
Determine h, given that 14*h**5 - 66*h**4 - 34*h**3 + 66*h**2 + 20*h = 0.
-1, -2/7, 0, 1, 5
Let 261*g**2/8 + 99*g/8 + 1/2 = 0. Calculate g.
-1/3, -4/87
Suppose 6*o**3 - 33*o**2 - 114*o - 48 = 0. Calculate o.
-2, -1/2, 8
Solve -6*f**3/7 + 118*f**2/7 + 304*f/7 + 88/7 = 0 for f.
-2, -1/3, 22
Solve 3*p**2 - 33*p + 90 = 0 for p.
5, 6
Factor -31250*w**3/11 - 22500*w**2/11 - 5400*w/11 - 432/11.
-2*(25*w + 6)**3/11
Factor 2*l**2 + 64*l.
2*l*(l + 32)
Factor 3*k**2 - 42*k + 99.
3*(k - 11)*(k - 3)
Determine s, given that -s**4/10 - 9*s**3/10 + 3*s**2/10 + 29*s/10 + 9/5 = 0.
-9, -1, 2
Determine l, given that l**5 + 21*l**4 + 72*l**3 + 68*l**2 = 0.
-17, -2, 0
Let 4*k**3 - 16*k**2 + 12*k = 0. What is k?
0, 1, 3
Suppose 2*d**2 - 100*d - 1200 = 0. Calculate d.
-10, 60
Factor 2*t**2/9 - 802*t/9 + 440.
2*(t - 396)*(t - 5)/9
Solve -v**5 - 2*v**4 + v**3 + 2*v**2 = 0.
-2, -1, 0, 1
What is j in -2*j**4 - 62*j**3 - 166*j**2 + 62*j + 168 = 0?
-28, -3, -1, 1
What is k in 5*k**4 - 110*k**3 = 0?
0, 22
Find x, given that 15*x**4 + 220*x**3 + 990*x**2 + 1220*x - 525 = 0.
-7, -5, -3, 1/3
Find p such that -p**3/5 - 13*p**2/5 - 48*p/5 - 36/5 = 0.
-6, -1
Solve 2*m**2 - 2996*m + 1122002 = 0.
749
Let g**4 + 168*g**3 + 7797*g**2 + 58618*g - 149784 = 0. Calculate g.
-79, -12, 2
What is k in -8*k**4 - 26*k**3 + 26*k**2 + 8*k = 0?
-4, -1/4, 0, 1
Determine x, given that -2*x**2/3 - 1008*x - 381024 = 0.
-756
What is j in -2*j**3/5 - 16*j**2/5 + 38*j/5 - 4 = 0?
-10, 1
Determine j, given that 6*j**4/11 + 50*j**3/11 + 74*j**2/11 - 130*j/11 = 0.
-5, -13/3, 0, 1
Determine x so that -2*x**4/3 - 62*x**3/3 + 140*x**2/3 + 248*x/3 - 176 = 0.
-33, -2, 2
Suppose -4*t**3/5 - 624*t**2/5 - 32448*t/5 - 562432/5 = 0. What is t?
-52
Factor -4*a**2/7 - 152*a/7 - 1300/7.
-4*(a + 13)*(a + 25)/7
Suppose -q**4/7 - 33*q**3/7 + 26*q**2 - 300*q/7 + 152/7 = 0. What is q?
-38, 1, 2
Factor h**4/3 + 32*h**3/3 - 11*h**2.
h**2*(h - 1)*(h + 33)/3
Determine d, given that d**4 - 16*d**3 - 390*d**2 - 2200*d - 3875 = 0.
-5, 31
Solve -b**5/6 - 2*b**4 - 7*b**3/2 + 31*b**2/3 + 12*b = 0.
-9, -4, -1, 0, 2
Factor 2*t**4/21 + 4*t**3/21 - 2*t**2/7.
2*t**2*(t - 1)*(t + 3)/21
Suppose 9*t**5 + 6*t**4 - 30*t**3 + 21*t - 6 = 0. Calculate t.
-2, -1, 1/3, 1
Factor 18*v**2 - 309*v + 51.
3*(v - 17)*(6*v - 1)
Let i**2/6 - 23*i/6 + 17 = 0. What is i?
6, 17
Factor -2*n**4/9 - 2*n**3/9 + 2*n**2/3 + 10*n/9 + 4/9.
-2*(n - 2)*(n + 1)**3/9
Factor 2*v**2 - 56*v + 54.
2*(v - 27)*(v - 1)
Solve -30*s**2 + 625*s + 105 = 0.
-1/6, 21
Suppose 2*u**5/9 + 26*u**4/9 + 80*u**3/9 + 8*u**2 = 0. What is u?
-9, -2, 0
Factor 12*y**4 + 99*y**3 - 84*y**2 - 27*y.
3*y*(y - 1)*(y + 9)*(4*y + 1)
Determine q so that -5*q**3 + 410*q**2 - 800*q = 0.
0, 2, 80
Determine j, given that -2*j**4 - 7146*j**3/5 - 254324*j**2 + 1791432*j/5 - 512656/5 = 0.
-358, 2/5, 1
Factor n**2/5 - 11*n + 106/5.
(n - 53)*(n - 2)/5
Solve 4*z**2 + 148*z - 480 = 0 for z.
-40, 3
Solve r**5 - 12*r**4 + 45*r**3 - 58*r**2 + 24*r = 0.
0, 1, 4, 6
Factor 2*c**4/3 + 4*c**3 - 50*c**2/3 + 12*c.
2*c*(c - 2)*(c - 1)*(c + 9)/3
Factor -z**3 + 2*z**2 - z.
-z*(z - 1)**2
Let c**4/2 - 65*c**3/6 + 341*c**2/6 + 121*c/6 = 0. What is c?
-1/3, 0, 11
Factor -5*s**3 + 230*s**2 + 20*s - 920.
-5*(s - 46)*(s - 2)*(s + 2)
Factor k**3 + 19*k**2 + 31*k - 51.
(k - 1)*(k + 3)*(k + 17)
Factor 2*a**2 + 19*a/2 + 21/2.
(a + 3)*(4*a + 7)/2
Solve -4*j**4 + 20*j**2 - 16 = 0.
-2, -1, 1, 2
What is m in -2*m**2/5 + 48*m/5 - 54 = 0?
9, 15
Factor -b**4/8 - 81*b**3/8 - 159*b**2/8 - 79*b/8.
-b*(b + 1)**2*(b + 79)/8
Determine p so that p**4/4 - 8*p**3 + 117*p**2/4 - 71*p/2 + 14 = 0.
1, 2, 28
Suppose -k**3/8 + 7*k**2/8 - 7*k/4 + 1 = 0. Calculate k.
1, 2, 4
Determine x so that -54*x**5 + 549*x**4 + 237*x**3 - 480*x**2 - 252*x = 0.
-2/3, 0, 1, 21/2
Let 2*t**5/11 + 34*t**4/11 + 104*t**3/11 = 0. Calculate t.
-13, -4, 0
Let -h**3 + 12*h**2 - 11*h = 0. Calculate h.
0, 1, 11
Suppose -3*a**4/7 + 3*a**3/7 + 36*a**2/7 - 12*a + 48/7 = 0. Calculate a.
-4, 1, 2
Suppose h**4/5 + 17*h**3/5 + 16*h**2 + 64*h/5 = 0. Calculate h.
-8, -1, 0
What is o in 4*o**2 - 8128*o + 4129024 = 0?
1016
What is p in 3*p**2/8 - 2277*p = 0?
0, 6072
Factor 5*p**2 - 345*p + 670.
5*(p - 67)*(p - 2)
Determine m, given that m**4 - 3*m**3 - 31*m**2 + 123*m - 90 = 0.
-6, 1, 3, 5
Determine k, given that 8*k**5 + 6*k**4 - 186*k**3 + 358*k**2 - 222*k + 36 = 0.
-6, 1/4, 1, 3
Factor -j**4/3 - 257*j**3/3 - 5461*j**2 + 5547*j.
-j*(j - 1)*(j + 129)**2/3
Factor u**2 - 566*u - 567.
(u - 567)*(u + 1)
Factor 2*g**3/3 + 2*g**2 + 2*g + 2/3.
2*(g + 1)**3/3
Factor 84*r**5 + 4*r**4 - 8*r**3.
4*r**3*(3*r + 1)*(7*r - 2)
Factor -10*k**5 + 25*k**4 - 20*k**3 + 5*k**2.
-5*k**2*(k - 1)**2*(2*k - 1)
Factor -5*g**3 + 1425*g**2 - 1410*g - 2840.
-5*(g - 284)*(g - 2)*(g + 1)
Let 4*p**4 + 14*p**3 - 1567*p**2/4 + 193*p - 24 = 0. Calculate p.
-12, 1/4, 8
Let 162*i**5/7 + 1260*i**4 + 161360*i**3/7 + 1015200*i**2/7 + 427680*i/7 + 46656/7 = 0. What is i?
-18, -2/9
Find r, given that -3*r**4/5 + 9*r**3/5 - 3*r**2/5 - 9*r/5 + 6/5 = 0.
-1, 1, 2
Determine d, given that 4*d**3 + 188*d**2 + 1856*d - 2048 = 0.
-32, -16, 1
Let 3*i**4 - 102*i**3 + 195*i**2 - 96*i = 0. Calculate i.
0, 1, 32
Suppose 8*t**5/5 - 2*t**4/5 - 9*t**3/5 + 2*t**2/5 + t/5 = 0. Calculate t.
-1, -1/4, 0, 1/2, 1
Factor 4*d**5 - 60*d**4 + 344*d**3 - 936*d**2 + 1188*d - 540.
4*(d - 5)*(d - 3)**3*(d - 1)
Factor o**2/6 - 3*o - 20/3.
(o - 20)*(o + 2)/6
Factor -l**4 - 4*l**3 + 3*l**2 + 10*l - 8.
-(l - 1)**2*(l + 2)*(l + 4)
Solve -76*g**3/3 - 140*g**2/3 - 52*g/3 + 4 = 0.
-1, 3/19
Determine i so that -43*i**2 - 38*i + 5 = 0.
-1, 5/43
Factor 2*w**2/15 - 44*w/5 + 726/5.
2*(w - 33)**2/15
Factor p**2/3 - 47*p/3 + 82.
(p - 41)*(p - 6)/3
Factor 4*p**3 - 316*p**2 - 4*p + 316.
4*(p - 79)*(p - 1)*(p + 1)
Suppose 2*t**3/11 - 24*t/11 - 32/11 = 0. Calculate t.
-2, 4
Solve -4*h**5 - 96*h**4 - 580*h**3 + 696*h**2 + 7568*h - 11616 = 0.
-11, -6, 2
Factor -w**3 - 65*w**2 - 1392*w - 9792.
-(w + 17)*(w + 24)**2
What is t in -5*t**4 - 8765*t**3 + 8775*t**2 + 8765*t - 8770 = 0?
-1754, -1, 1
Factor 2*t**2/11 + 14*t/11 + 12/11.
2*(t + 1)*(t + 6)/11
Factor p**2 + 208*p + 10816.
(p + 104)**2
Factor -5*k**2 + 50*k - 45.
-5*(k - 9)*(k - 1)
What is l in 4*l**4 + 60*l**3 + 316*l**2 + 660*l + 400 = 0?
-5, -4, -1
Determine d, given that -5*d**3 - 375*d**2 - 6435*d - 32065 = 0.
-53, -11
Factor 2*d**5/9 - 46*d**4/9 + 404*d**3/9 - 188*d**2 + 378*d - 294.
2*(d - 7)**2*(d - 3)**3/9
Find q such that q**2 + 30*q + 225 = 0.
-15
Solve -3*c**2 - 270*c - 6075 = 0 for c.
-45
Factor -6*m**3 + 4*m**2 + 6*m - 4.
-2*(m - 1)*(m + 1)*(3*m - 2)
Suppose 2*y**2/15 - 692*y/3 + 299290/3 = 0. Calculate y.
865
Let -p**5 - 18*p**4 - 61*p**3 + 180*p**