 72*n - 36.
4*(n - 3)*(n - 1)**2*(n + 3)
Factor -3*l**3 - 144*l**2 - 1215*l + 13122.
-3*(l - 6)*(l + 27)**2
Factor w**3/5 - 22*w**2/5 + 41*w/5 - 4.
(w - 20)*(w - 1)**2/5
Factor t**2 - 11*t - 12.
(t - 12)*(t + 1)
Solve 2*f**4/11 - 10*f**3/11 + 4*f**2/11 + 16*f/11 = 0 for f.
-1, 0, 2, 4
Factor 5*w**2 - 380*w - 1185.
5*(w - 79)*(w + 3)
Determine h, given that h**4/9 - 2*h**3/3 - 8*h**2/3 + 134*h/9 - 35/3 = 0.
-5, 1, 3, 7
Factor 168*k**3 - 438*k**2 + 213*k - 18.
3*(k - 2)*(2*k - 1)*(28*k - 3)
Factor 2*b**2 - 18*b + 36.
2*(b - 6)*(b - 3)
Factor c**5/4 + 3029*c**4/4 + 1149125*c**3/2 + 3438293*c**2/2 + 6870533*c/4 + 2289169/4.
(c + 1)**3*(c + 1513)**2/4
Find v, given that 2*v**2 + 28*v = 0.
-14, 0
Suppose 12*u**4 + 56*u**3 + 68*u**2 + 24*u = 0. Calculate u.
-3, -1, -2/3, 0
Factor 5*z**4 + 7520*z**3 + 2827520*z**2.
5*z**2*(z + 752)**2
What is q in -3*q**2/5 - 96*q/5 - 36 = 0?
-30, -2
Let c**2/6 - c + 3/2 = 0. What is c?
3
Determine h, given that -5*h**4 - 70*h**3 - 60*h**2 + 70*h + 65 = 0.
-13, -1, 1
Determine k, given that -3*k**5/2 + 6*k**4 + 9*k**3 - 24*k**2 - 87*k/2 - 18 = 0.
-1, 3, 4
Factor 3*w**3 - 276*w**2 + 1056*w.
3*w*(w - 88)*(w - 4)
Suppose -8*f**5 - 4636*f**4 + 6968*f**3 - 2324*f**2 = 0. What is f?
-581, 0, 1/2, 1
Find o such that 3*o**4 + 11*o**3 - 115*o**2 - 83*o + 40 = 0.
-8, -1, 1/3, 5
Determine g, given that -5*g**3 - 1575*g**2 + 6360*g - 6380 = 0.
-319, 2
Factor -2*b**4/7 + 12*b**3/7 + 2*b**2/7 - 12*b/7.
-2*b*(b - 6)*(b - 1)*(b + 1)/7
Factor 2*c**2 - 1048*c.
2*c*(c - 524)
Factor -r**4 + 3*r**3 - r**2 - 3*r + 2.
-(r - 2)*(r - 1)**2*(r + 1)
Factor -5*i**4 + 15*i**3 + 15*i**2 - 55*i + 30.
-5*(i - 3)*(i - 1)**2*(i + 2)
Let d**3/4 + 43*d**2/4 + 355*d/4 + 825/4 = 0. What is d?
-33, -5
Factor -81*z**4 - 720*z**3 - 2392*z**2 - 3520*z - 1936.
-(z + 2)**2*(9*z + 22)**2
Factor -v**3 + 4*v**2 + 25*v - 100.
-(v - 5)*(v - 4)*(v + 5)
Determine q, given that 5*q**3 - 190*q**2 + 700*q - 680 = 0.
2, 34
Solve 3*i**2/5 - 1571*i/5 - 524/5 = 0.
-1/3, 524
Let 175*z**5/2 - 1485*z**4/2 + 2340*z**3 - 3340*z**2 + 2040*z - 360 = 0. What is z?
2/7, 6/5, 2, 3
Find h such that 3*h**4/7 + 6*h**3/7 - 9*h**2 - 66*h/7 + 120/7 = 0.
-5, -2, 1, 4
Factor 5*i**4/2 + 115*i**3 + 2645*i**2/2.
5*i**2*(i + 23)**2/2
Let -4*c**3/5 - 16*c**2 - 148*c/5 - 72/5 = 0. What is c?
-18, -1
Factor 4*z**3 + 68*z**2 + 384*z + 720.
4*(z + 5)*(z + 6)**2
Find a, given that 3*a**3 + 123*a**2 + 120*a = 0.
-40, -1, 0
Solve -5*m**5/3 + 440*m**4 + 5*m**3 - 3970*m**2/3 + 880*m = 0.
-2, 0, 1, 264
Determine a so that -28*a**4 - 48*a**3 + 100*a**2 - 24*a = 0.
-3, 0, 2/7, 1
Factor -5*q**3 + 220*q**2 + 225*q.
-5*q*(q - 45)*(q + 1)
Factor -4*c**2 + 7044*c + 7048.
-4*(c - 1762)*(c + 1)
Factor -k**2/3 - 445*k/3 - 148.
-(k + 1)*(k + 444)/3
Determine z so that 2*z**2/11 + 24*z/11 - 90/11 = 0.
-15, 3
Factor u**2 - 7193*u/7 - 3084/7.
(u - 1028)*(7*u + 3)/7
Factor -5*b**2/6 + 460*b/3 - 21160/3.
-5*(b - 92)**2/6
Factor -2*b**2/9 + 542*b/9 - 60.
-2*(b - 270)*(b - 1)/9
Determine a so that 22*a**2 - 18*a - 4 = 0.
-2/11, 1
Determine n, given that n**2/3 - 11*n/3 = 0.
0, 11
Suppose j**4/5 - 7*j**3/5 + 9*j**2/5 + 7*j/5 - 2 = 0. What is j?
-1, 1, 2, 5
Factor 15*o**3/4 - 12*o**2 + 39*o/4 - 3/2.
3*(o - 2)*(o - 1)*(5*o - 1)/4
Solve 2*h**2 + 38*h + 180 = 0 for h.
-10, -9
What is q in 3*q**2 - 45*q - 972 = 0?
-12, 27
Determine y so that 16*y**5/9 + 16*y**4 - 140*y**3 + 2584*y**2/9 - 572*y/3 + 40 = 0.
-15, 1/2, 2, 3
Solve 2*o**2/7 - 6*o/7 = 0 for o.
0, 3
What is b in b**4/5 - 24*b**3/5 + 183*b**2/5 - 368*b/5 - 576/5 = 0?
-1, 8, 9
Factor -2*p**2/9 + 40*p + 248.
-2*(p - 186)*(p + 6)/9
Suppose -2*w**3/3 - 2*w**2 - 4*w/3 = 0. Calculate w.
-2, -1, 0
Factor l**4 - 31*l**3 + 87*l**2 - 85*l + 28.
(l - 28)*(l - 1)**3
Factor 25*x**2 + 815*x - 330.
5*(x + 33)*(5*x - 2)
Let 3*g**4 - 30*g**3 + 99*g**2 - 132*g + 60 = 0. Calculate g.
1, 2, 5
Factor 5*w**4 + 5*w**3 - 50*w**2 + 40*w.
5*w*(w - 2)*(w - 1)*(w + 4)
Factor 3*m**2/5 - 11916*m/5.
3*m*(m - 3972)/5
Suppose 2*c**5/11 - 2*c**4 - 50*c**3/11 - 26*c**2/11 = 0. What is c?
-1, 0, 13
Solve -5*w**3 = 0 for w.
0
Find v such that 4*v**4/7 + 76*v**3/7 + 388*v**2/7 + 180*v/7 - 648/7 = 0.
-9, -2, 1
Factor -4*i**3 - 2664*i**2 - 591408*i - 43764192.
-4*(i + 222)**3
Factor 2*a**3 + 24*a**2 + 18*a - 324.
2*(a - 3)*(a + 6)*(a + 9)
Factor 4*f**3 - 532*f**2 + 21344*f - 228752.
4*(f - 58)**2*(f - 17)
Determine k so that 4*k**5 - 428*k**4 + 5808*k**3 - 26928*k**2 + 39744*k = 0.
0, 3, 6, 92
Find b such that -5*b**3 + 65*b**2 - 195*b + 135 = 0.
1, 3, 9
Let q**2 + 180*q + 179 = 0. What is q?
-179, -1
Factor p**2/4 - 1821*p/2 + 3316041/4.
(p - 1821)**2/4
Factor -3*q**4 - 144*q**3 - 1716*q**2 + 576*q + 6912.
-3*(q - 2)*(q + 2)*(q + 24)**2
Factor -4*i**3 - 448*i**2 - 2964*i - 2520.
-4*(i + 1)*(i + 6)*(i + 105)
Factor 4*j**2 - 16*j.
4*j*(j - 4)
Factor -12*f**4 - 100*f**3 - 164*f**2 - 76*f.
-4*f*(f + 1)**2*(3*f + 19)
Factor -11*n**3 - 2*n**2 + 11*n + 2.
-(n - 1)*(n + 1)*(11*n + 2)
Suppose -2*r**4/3 + 12*r**3 - 122*r**2/3 - 120*r - 200/3 = 0. What is r?
-1, 10
Let 25*t**5/4 - 95*t**4/2 + 283*t**3/2 - 206*t**2 + 585*t/4 - 81/2 = 0. Calculate t.
1, 9/5, 2
Factor f**4/4 - 115*f**3 + 35343*f**2/2 - 912951*f + 3581577/4.
(f - 153)**3*(f - 1)/4
Determine h so that -h**2/5 + h/5 + 156/5 = 0.
-12, 13
Solve -2*i**2/5 + 4148*i/5 - 2150738/5 = 0 for i.
1037
Determine z, given that z**3 + 35*z**2 - 152*z + 156 = 0.
-39, 2
Factor 5*a**4 - 85*a**3 + 210*a**2 + 1300*a + 1000.
5*(a - 10)**2*(a + 1)*(a + 2)
Determine m so that -4*m**5 - 28*m**4 - 48*m**3 + 16*m**2 + 64*m = 0.
-4, -2, 0, 1
What is n in 5*n**4 + 2461*n**3/4 + 71943*n**2/4 - 234549*n/4 - 11907/4 = 0?
-63, -1/20, 3
Factor -28*b**3/5 + 24*b**2/5 + 12*b + 8/5.
-4*(b - 2)*(b + 1)*(7*b + 1)/5
Factor 3*f**3 - 2649*f**2 + 586089*f - 583443.
3*(f - 441)**2*(f - 1)
Find n such that 4*n**2/3 - 44*n/3 - 104/3 = 0.
-2, 13
What is a in 4*a**5/3 + 52*a**4/3 + 188*a**3/3 + 92*a**2/3 - 64*a - 48 = 0?
-6, -1, 1
Determine i, given that -i**2/7 + 33*i/7 - 230/7 = 0.
10, 23
Let 8*q**5 - 132*q**4 + 262*q**3 + 333*q**2 - 1188*q + 756 = 0. What is q?
-2, 3/2, 14
Find z, given that 4*z**4 - 4*z**3 - 8*z**2 = 0.
-1, 0, 2
Factor 10*y**3 - 7744*y**2 + 1500786*y - 599076.
2*(y - 387)**2*(5*y - 2)
Solve 2*f**5/3 + 314*f**4/9 + 4708*f**3/9 + 15152*f**2/9 + 512*f/3 - 1024 = 0 for f.
-24, -4, -1, 2/3
Solve -5*y**3 - 1310*y**2 - 3865*y + 5180 = 0 for y.
-259, -4, 1
Factor d**4 - 21*d**3 - 53*d**2 + 165*d - 92.
(d - 23)*(d - 1)**2*(d + 4)
Factor 1936*g**4 + 4400*g**3 + 3028*g**2 + 600*g + 36.
4*(g + 1)**2*(22*g + 3)**2
Factor -2*j**3/9 - 16*j**2/9 + 38*j/9 - 20/9.
-2*(j - 1)**2*(j + 10)/9
Let 2*l**5 - 434*l**4 - 448*l**3 + 2608*l**2 + 1760*l - 3488 = 0. Calculate l.
-2, 1, 2, 218
Factor -5*s**3 - 20*s**2 - 25*s - 10.
-5*(s + 1)**2*(s + 2)
Solve w**3/5 - 903*w**2/5 + 204303*w/5 - 203401/5 = 0 for w.
1, 451
Factor -2*y**3/15 + 6*y**2/5 + 2*y/15 - 6/5.
-2*(y - 9)*(y - 1)*(y + 1)/15
Suppose -4*m**3 + 176*m**2 - 336*m = 0. Calculate m.
0, 2, 42
Determine a, given that -2*a**2 + 86*a - 864 = 0.
16, 27
Solve -3*o**5/5 - 9*o**4/5 + 12*o**2/5 = 0 for o.
-2, 0, 1
Factor -i**3/5 - 641*i**2/5 + 2576*i/5 - 516.
-(i - 2)**2*(i + 645)/5
Let -5*m**3 + 850*m**2 - 35260*m - 73960 = 0. What is m?
-2, 86
Determine p so that -2*p**2 - 66*p - 232 = 0.
-29, -4
Factor -4*f**3 - 536*f**2 + 3328*f - 4480.
-4*(f - 4)*(f - 2)*(f + 140)
Let -2*r**4/5 - 2*r**3 + 62*r**2/5 - 86*r/5 + 36/5 = 0. What is r?
-9, 1, 2
Determine v so that v**3 + 169*v**2/5 + 131*v/5 - 33/5 = 0.
-33, -1, 1/5
Solve -93*n**3/4 - 463*n**2/4 - 137*n + 3 = 0 for n.
-3, -2, 2/93
Factor -d**2/3 + 17*d/3 - 10.
-(d - 15)*(d - 2)/3
Factor -q**4/4 - 15*q**3/4 - 81*q**2/4 - 189*q/4 - 81/2.
-(q + 3)**3*(q + 6)/4
What is i in -3*i**2 - 270*i - 6075 = 0?
-45
Suppose 4*v**2 - 6840*v + 2924100 = 0. Calculate v.
855
Find t such that -t**3/4 + t**2/2 + 56*t + 288 = 0.
-8, 18
Determine g, given that 2*g**3 - 84*g**2 - 2*g + 84 = 0.
-1, 1, 42
Factor -p**5/2 - 9*p**4/2 - 12*p**3 - 8*p**2.
-p**2*(p + 1)*(p + 4)**2/2
Factor -x**5/7 + x**4/7 + 2*x**3/7 - 2*x**2/7 - x/7 + 1/7.
-(x - 1)**3*(x + 1)**2/7
Factor 4*m**2 - 16.
4*(m - 2)*(m + 2)
Suppose -2460*k**4 - 13816*k**3 - 16460*k**2 + 8592*k + 144 = 0. What is k?
-3, -2/123, 2/5
Let 289*u**3 - 4845*u**2 - 1152*u - 68 = 0. Calcu