 + 320/7.
4*(o - 8)*(o - 1)*(o + 10)/7
Factor -3*q**2 + 72*q + 156.
-3*(q - 26)*(q + 2)
Factor -8*k**3/3 - 444*k**2 - 24642*k - 455877.
-(2*k + 111)**3/3
Factor -3*i**4 + 6*i**3 + 12*i**2 - 6*i - 9.
-3*(i - 3)*(i - 1)*(i + 1)**2
Suppose -4*z**4/5 + 176*z**3/5 - 2512*z**2/5 + 12672*z/5 - 20736/5 = 0. What is z?
4, 18
Factor -2*y**2/7 - 1360*y/7 - 231200/7.
-2*(y + 340)**2/7
Solve 15*t**4 + 1115*t**3 + 1455*t**2 - 375*t - 730 = 0.
-73, -1, 2/3
Factor y**3/9 - 33*y**2 - 100*y.
y*(y - 300)*(y + 3)/9
Solve v**2/4 - 95*v/2 - 191/4 = 0.
-1, 191
Factor 7*n**3 + 143*n**2/9 - 2006*n/9 + 560/9.
(n + 7)*(7*n - 2)*(9*n - 40)/9
Factor -5*t**5 + 25*t**4 - 35*t**3 + 15*t**2.
-5*t**2*(t - 3)*(t - 1)**2
Factor 2*o**4/7 - 76*o**2/7 + 144*o/7 - 10.
2*(o - 5)*(o - 1)**2*(o + 7)/7
Suppose 15*y**3/4 + 321*y**2/4 + 63*y/2 = 0. Calculate y.
-21, -2/5, 0
Solve 2*l**3/13 + 294*l**2/13 + 3312*l/13 + 9720/13 = 0 for l.
-135, -6
Determine l so that l**2 + 167*l - 168 = 0.
-168, 1
What is l in 2*l**3/7 + 26*l**2/7 + 46*l/7 + 22/7 = 0?
-11, -1
Factor -2*c**2 - 92*c.
-2*c*(c + 46)
Solve 5*x**2 - 160*x - 720 = 0 for x.
-4, 36
Suppose -2*o**5 + 41*o**4/2 - 3*o**3 - 41*o**2/2 + 5*o = 0. Calculate o.
-1, 0, 1/4, 1, 10
Determine r, given that 2*r**4 + 234*r**3 + 7186*r**2 + 19950*r + 12996 = 0.
-57, -2, -1
Let -2*c**2/15 + 90*c = 0. What is c?
0, 675
What is q in -2*q**3/3 + 8*q**2 + 50*q/3 - 104 = 0?
-4, 3, 13
Factor -507*h**4 + 51636*h**3 - 1413948*h**2 + 5052384*h - 4853952.
-3*(h - 2)**2*(13*h - 636)**2
Factor -m**4/5 + 4*m**3/5 + 3*m**2 - 18*m/5.
-m*(m - 6)*(m - 1)*(m + 3)/5
Factor -846*m**2/5 - 2*m/5.
-2*m*(423*m + 1)/5
Factor p**2/4 - 4.
(p - 4)*(p + 4)/4
Factor u**2 + 560*u + 559.
(u + 1)*(u + 559)
Factor y**3 + 8*y**2 - 9*y.
y*(y - 1)*(y + 9)
Let -t**3 - 15*t**2 - 50*t = 0. What is t?
-10, -5, 0
Factor 3*q**2/5 + 9*q - 228/5.
3*(q - 4)*(q + 19)/5
Factor -110*n**3 - 656*n**2 - 526*n + 20.
-2*(n + 1)*(n + 5)*(55*n - 2)
Factor 4*s**4/3 - 20*s**3/3 - 4*s**2 + 68*s/3 - 40/3.
4*(s - 5)*(s - 1)**2*(s + 2)/3
Factor 5*x**2 - 40*x + 80.
5*(x - 4)**2
Let y**2/4 - y/2 - 15/4 = 0. What is y?
-3, 5
Determine w so that -14*w**2/9 - 170*w - 436/9 = 0.
-109, -2/7
Factor 4*o**4 + 1256*o**3 + 96016*o**2 - 410856*o - 505620.
4*(o - 5)*(o + 1)*(o + 159)**2
Factor 4*p**2 - 52*p + 160.
4*(p - 8)*(p - 5)
Let -3*r**3 - 42*r**2 + 3*r + 42 = 0. Calculate r.
-14, -1, 1
Factor 4*a**4 + 940*a**3.
4*a**3*(a + 235)
Let 14*x**4 + 1466*x**3 + 2482*x**2 + 1030*x = 0. What is x?
-103, -1, -5/7, 0
Let s**2 - 15*s + 14 = 0. What is s?
1, 14
Let -c**3 - 62*c**2 - 1020*c - 1800 = 0. Calculate c.
-30, -2
Factor -n**3 + 36*n.
-n*(n - 6)*(n + 6)
Solve 3*l**5/4 - 27*l**4/2 + 51*l**3 - 51*l**2/2 - 207*l/4 + 39 = 0.
-1, 1, 4, 13
Find j such that j**2/5 + j = 0.
-5, 0
Determine x, given that -180*x**5 + 76*x**4 + 316*x**3 - 108*x**2 - 136*x + 32 = 0.
-1, -4/5, 2/9, 1
Factor f**2 + 152*f + 5776.
(f + 76)**2
Factor -6*v**2 + 100*v + 34.
-2*(v - 17)*(3*v + 1)
What is p in -p**5/4 - p**4/2 + 13*p**3/2 + 13*p**2 - 25*p/4 - 25/2 = 0?
-5, -2, -1, 1, 5
Let -f**4/4 - 15*f**3/4 - 33*f**2/2 - 29*f - 18 = 0. What is f?
-9, -2
Factor s**4/7 - 104*s**3/7 + 102*s**2/7 + 104*s/7 - 103/7.
(s - 103)*(s - 1)**2*(s + 1)/7
Solve 2*z**2 - 58*z + 108 = 0.
2, 27
Suppose 604*p**2/7 + 1804*p/7 - 24/7 = 0. What is p?
-3, 2/151
Find n, given that -2*n**2/11 - 82*n/11 - 80/11 = 0.
-40, -1
Find d, given that -27*d**4/2 - 33*d**3 + 33*d**2/2 + 78*d + 42 = 0.
-2, -1, 14/9
Let 5*d**4 + 50*d**3 - 15*d**2 - 700*d + 980 = 0. What is d?
-7, 2
Factor -32*b**4/3 - 12560*b**3/3 - 411862*b**2 - 615440*b/3 - 76832/3.
-2*(b + 196)**2*(4*b + 1)**2/3
Suppose -2*q**4/5 - 34*q**3/5 - 84*q**2/5 = 0. What is q?
-14, -3, 0
Let -245*t**2 + 140*t - 20 = 0. Calculate t.
2/7
Factor -m**4/4 - 3*m**3/2 + m**2/4 + 3*m/2.
-m*(m - 1)*(m + 1)*(m + 6)/4
Solve -4*p**3/3 - 4420*p**2 - 3660864*p + 10995856/3 = 0 for p.
-1658, 1
Let -2*l**3/3 - 8*l**2/3 + 56*l/3 - 64/3 = 0. What is l?
-8, 2
Solve 15*g**4 + 4821*g**3 - 2904*g**2 - 1932*g = 0.
-322, -2/5, 0, 1
Factor f**3 + 89*f**2 - 181*f + 91.
(f - 1)**2*(f + 91)
Suppose 3*z**4 + 42*z**3 + 108*z**2 + 102*z + 33 = 0. What is z?
-11, -1
Determine c so that -46*c**3 + 17392*c**2/3 - 182742*c + 5292 = 0.
2/69, 63
Factor -4*h**4/5 + 8*h**3 - 96*h**2/5 + 88*h/5 - 28/5.
-4*(h - 7)*(h - 1)**3/5
Let 6*k**5 - 56*k**4 + 176*k**3 - 180*k**2 - 54*k + 108 = 0. Calculate k.
-2/3, 1, 3
Factor -4*v**4 - 5*v**3 + 9*v**2 + 17*v + 7.
-(v + 1)**3*(4*v - 7)
Factor 3*c**2 + 372*c + 11532.
3*(c + 62)**2
Factor 5*t**3/3 + 50*t**2/3.
5*t**2*(t + 10)/3
Find s such that -5*s**5 - 35*s**4 + 20*s**3 + 140*s**2 = 0.
-7, -2, 0, 2
Factor -3*q**2 - 852*q - 60492.
-3*(q + 142)**2
Factor -2*b**5 - 2*b**4 + 2*b**3 + 2*b**2.
-2*b**2*(b - 1)*(b + 1)**2
Factor 3*g**2 - 6414*g + 3428283.
3*(g - 1069)**2
Factor -2*u**4 - 18*u**3 - 12*u**2 + 32*u.
-2*u*(u - 1)*(u + 2)*(u + 8)
Factor 2*j**2/3 - 62*j/3 + 368/3.
2*(j - 23)*(j - 8)/3
Suppose -3*i**4 - 12*i**3 + 3*i**2 + 12*i = 0. Calculate i.
-4, -1, 0, 1
Factor -p**4/9 + 41*p**3/9 - 322*p**2/9 + 100*p/3 + 248.
-(p - 31)*(p - 6)**2*(p + 2)/9
Factor 3*y**5 - 48*y**4 - 666*y**3 + 2256*y**2 - 2337*y + 792.
3*(y - 24)*(y - 1)**3*(y + 11)
Find n such that -5*n**4/2 + 65*n**3/2 + 15*n**2/2 - 205*n/2 + 65 = 0.
-2, 1, 13
Solve 2*b**3/9 - 8*b**2 - 224*b/3 - 1408/9 = 0.
-4, 44
Suppose -2*a**4/5 - 14*a**3/5 - 34*a**2/5 - 34*a/5 - 12/5 = 0. What is a?
-3, -2, -1
Factor 4*f**3/5 - 16*f**2 - 4*f/5 + 16.
4*(f - 20)*(f - 1)*(f + 1)/5
Factor -3*j**2/2 - 183*j/2 - 90.
-3*(j + 1)*(j + 60)/2
What is a in 5*a**2 + 6*a - 56 = 0?
-4, 14/5
Factor -4*t**2 + 896*t - 3520.
-4*(t - 220)*(t - 4)
Factor -5*y**2 + 1600*y - 128000.
-5*(y - 160)**2
Solve -3*p**3/2 + 12*p**2 = 0 for p.
0, 8
Factor a**2/3 + 89*a/3 - 30.
(a - 1)*(a + 90)/3
Find t such that 3*t**3/7 + 24*t**2/7 + 9*t + 54/7 = 0.
-3, -2
Find h such that 5*h**4 - 5*h**3 - 30*h**2 + 20*h + 40 = 0.
-2, -1, 2
Let 2*t**2 - 106*t + 1040 = 0. What is t?
13, 40
Factor -3*p**4 + 144*p**2 + 384*p.
-3*p*(p - 8)*(p + 4)**2
Suppose -z**3 + 13521*z**2/4 - 2856945*z + 714025 = 0. What is z?
1/4, 1690
What is v in 2*v**5 + v**4 - 20*v**3 - 10*v**2 + 18*v + 9 = 0?
-3, -1, -1/2, 1, 3
Determine v so that 12*v**3 + 16*v**2 - 140*v - 48 = 0.
-4, -1/3, 3
Solve -46*o**4/11 - 108*o**3/11 - 48*o**2/11 + 4*o + 30/11 = 0.
-1, 15/23
Factor 15*d**3 + 444*d**2 + 255*d - 174.
3*(d + 1)*(d + 29)*(5*d - 2)
Factor 2*l**3 - 10*l**2 - 16*l + 24.
2*(l - 6)*(l - 1)*(l + 2)
Factor m**5/5 - 11*m**4/5 + 42*m**3/5 - 14*m**2 + 53*m/5 - 3.
(m - 5)*(m - 3)*(m - 1)**3/5
Suppose 2*a**3/7 - 102*a**2/7 + 720*a/7 - 1376/7 = 0. Calculate a.
4, 43
What is g in -16*g**5 + 160*g**4 - 132*g**3 - 116*g**2 + 68*g + 36 = 0?
-1/2, 1, 9
Factor -2*y**2 - 24*y - 64.
-2*(y + 4)*(y + 8)
Factor k**2 + 17*k - 138.
(k - 6)*(k + 23)
Solve -3*l**4/7 - 6*l**3/7 + 36*l**2/7 + 54*l/7 - 81/7 = 0 for l.
-3, 1, 3
Factor t**5/3 + 7*t**4/3 + 19*t**3/3 + 25*t**2/3 + 16*t/3 + 4/3.
(t + 1)**3*(t + 2)**2/3
Suppose -9*h**4 + 137*h**3/5 + 39*h**2/5 - 137*h/5 + 6/5 = 0. Calculate h.
-1, 2/45, 1, 3
Factor 7*q**2 + 695*q + 198.
(q + 99)*(7*q + 2)
Factor 2*l**2 - 160*l - 328.
2*(l - 82)*(l + 2)
Determine u, given that -2*u**3/7 - 88*u**2/7 + 278*u/7 - 188/7 = 0.
-47, 1, 2
Solve 2*c**5 + 20*c**4 + 60*c**3 - 270*c - 324 = 0.
-3, 2
Factor -3*q**3/4 + 15*q**2/4 + 3*q/4 - 15/4.
-3*(q - 5)*(q - 1)*(q + 1)/4
Factor -4*c**2 + 168*c - 320.
-4*(c - 40)*(c - 2)
Suppose 2*q**5/9 - 80*q**4/9 - 82*q**3/9 = 0. What is q?
-1, 0, 41
Suppose -2*v**3/7 + 484*v**2/7 = 0. What is v?
0, 242
Factor -5*i**3/9 + 124*i**2/9 - 95*i/9 - 8/3.
-(i - 24)*(i - 1)*(5*i + 1)/9
Factor 289*u**3/2 - 26809*u**2/2 + 317460*u - 304200.
(u - 1)*(17*u - 780)**2/2
Factor -3*n**5/2 + 15*n**4 - 45*n**3 + 60*n**2 - 75*n/2 + 9.
-3*(n - 6)*(n - 1)**4/2
Solve -x**5/6 + x**4 - 2*x**3/3 - 3*x**2 + 5*x/6 + 2 = 0 for x.
-1, 1, 3, 4
Let -2*o**3 + 54*o**2 + 378*o + 594 = 0. What is o?
-3, 33
Suppose 2*p**2 - 1730*p - 3468 = 0. Calculate p.
-2, 867
Solve b**2/3 + 23*b = 0 for b.
-69, 0
Solve -c**3 - 9*c**2 - 6*c + 16 = 0 for c.
-8, -2, 1
Let -y**3 + 14*y**2 - 49*y = 0. What is y?
0, 7
Factor 2*c**5 + 102*c**4 + 936*c**3.
2*c**3*(c + 12)*(c + 39)
Suppose -n**4/2 + 7*n**3/2 + 9*n**2/2 - 7*n/2 - 4 = 0. Calculate n.
-1, 1, 8
Factor -90*y