4/8 - 75*v**3/4 + 387*v**2/2 + 4131*v/4 + 6561/8 = 0. Calculate v.
-3, -1, 27
Find d such that -d**2 - 9*d + 1036 = 0.
-37, 28
Determine o, given that -5*o**5 - 30*o**4 + 5*o**3 + 30*o**2 = 0.
-6, -1, 0, 1
Determine a so that 3*a**5/7 - 24*a**4/7 - 264*a**3/7 - 102*a**2 - 747*a/7 - 270/7 = 0.
-3, -2, -1, 15
Find y, given that 3136*y**2 - 22176*y + 39204 = 0.
99/28
Factor -3*z**3/7 - 1875*z**2/7 - 14856*z/7 - 29616/7.
-3*(z + 4)**2*(z + 617)/7
Find j, given that j**4 - 4*j**3 - 25*j**2 + 16*j + 84 = 0.
-3, -2, 2, 7
Factor -2*m**4/7 + 4*m**3/7 + 2*m**2/7 - 4*m/7.
-2*m*(m - 2)*(m - 1)*(m + 1)/7
Factor -5*v**3 - 80*v**2 + 5*v + 80.
-5*(v - 1)*(v + 1)*(v + 16)
Determine h so that h**3/3 - 5*h**2/3 - 25*h/3 + 125/3 = 0.
-5, 5
Suppose -w**2/9 + 5300*w/9 - 7022500/9 = 0. Calculate w.
2650
Suppose -3*f**2/2 + 10620*f - 18797400 = 0. Calculate f.
3540
Factor 324*j**3 - 2016*j**2 + 436*j - 24.
4*(j - 6)*(9*j - 1)**2
Factor -273*i**3 - 894*i**2 - 969*i - 348.
-3*(i + 1)**2*(91*i + 116)
Factor -j**2/2 - 29*j + 59/2.
-(j - 1)*(j + 59)/2
Solve 3*y**5 - 93*y**4 - 3*y**3 + 93*y**2 = 0.
-1, 0, 1, 31
Factor -w**3 - 258*w**2 + 6039*w - 33880.
-(w - 11)**2*(w + 280)
Determine x so that -20*x**3 - 104*x**2 - 44*x + 168 = 0.
-21/5, -2, 1
Let -5*r**3 - 8250*r**2 - 4537500*r - 831875000 = 0. Calculate r.
-550
Factor v**5/6 - 5*v**4/2 - 8*v**3/3.
v**3*(v - 16)*(v + 1)/6
Factor -198155287*x**3 - 2039334*x**2 - 6996*x - 8.
-(583*x + 2)**3
Find o such that 3*o**3/7 - 1149*o**2/7 - 4632*o/7 - 4644/7 = 0.
-2, 387
What is f in -9*f**4 - 2631*f**3 + 4407*f**2 - 885*f - 882 = 0?
-294, -1/3, 1
Find n, given that n**2/8 + 113*n/4 + 225/8 = 0.
-225, -1
Factor 4*n**2 - 16*n - 1280.
4*(n - 20)*(n + 16)
Find d such that 5*d**3 - 275*d**2 - 5*d + 275 = 0.
-1, 1, 55
Solve -64*g**5 + 224*g**4 + 60*g**3 - 400*g**2 - 196*g - 24 = 0.
-1, -1/4, 2, 3
Factor -k**4 + k**3 + 35*k**2 - 129*k + 126.
-(k - 3)**2*(k - 2)*(k + 7)
Suppose -3*r**3 - 177*r**2 + 180*r = 0. Calculate r.
-60, 0, 1
Let 25*h**3 + 3090*h**2 - 17365*h + 6450 = 0. What is h?
-129, 2/5, 5
Factor 3*d**2 - 1480*d + 493.
(d - 493)*(3*d - 1)
Factor k**3 - 20*k**2 - k + 20.
(k - 20)*(k - 1)*(k + 1)
Solve -3*b**2 + 3*b + 6 = 0 for b.
-1, 2
Factor -3*g**4 - 63*g**3 - 258*g**2 - 288*g.
-3*g*(g + 2)*(g + 3)*(g + 16)
Determine l so that -5*l**2 - 205*l = 0.
-41, 0
Determine s, given that -s**2 + 6*s = 0.
0, 6
Find f, given that -2*f**2/11 + 622*f/11 + 7752/11 = 0.
-12, 323
Find s such that 3*s**3 + 48*s**2 + 189*s = 0.
-9, -7, 0
What is d in -10*d**2 - 276*d + 592 = 0?
-148/5, 2
Factor 8*w**4 + 76*w**3 + 228*w**2 + 224*w + 64.
4*(w + 1)*(w + 4)**2*(2*w + 1)
Factor -2*q**5/17 + 22*q**4/17 - 80*q**3/17 + 96*q**2/17.
-2*q**2*(q - 4)**2*(q - 3)/17
Find x, given that -3*x**2 - 13152*x - 14414592 = 0.
-2192
Factor -t**5 - 8*t**4 - 13*t**3 - 6*t**2.
-t**2*(t + 1)**2*(t + 6)
What is u in -u**5/5 + 4*u**4/5 + 4*u**3/5 - 34*u**2/5 + 9*u - 18/5 = 0?
-3, 1, 2, 3
Factor -4*n**2/5 - 92*n/5.
-4*n*(n + 23)/5
Factor 285*f**3 + 550*f**2 - 40*f.
5*f*(f + 2)*(57*f - 4)
Factor -4*y**5 - 64*y**4 - 216*y**3 - 304*y**2 - 196*y - 48.
-4*(y + 1)**4*(y + 12)
Factor -j**5 - 6*j**4 - 14*j**3 - 16*j**2 - 9*j - 2.
-(j + 1)**4*(j + 2)
Find w, given that 3*w**5 + 15*w**4 + 6*w**3 - 42*w**2 - 9*w + 27 = 0.
-3, -1, 1
Factor -n**3 + 47*n**2 - 475*n - 1875.
-(n - 25)**2*(n + 3)
Factor -2*i**3/15 + 2*i**2/5 + 12*i/5.
-2*i*(i - 6)*(i + 3)/15
Factor -2*u**4/3 + 3*u**3 - 13*u**2/3 + 2*u.
-u*(u - 2)*(u - 1)*(2*u - 3)/3
Factor -n**2 + 764*n - 763.
-(n - 763)*(n - 1)
Find y, given that -4*y**4 - 592*y**3 + 2416*y**2 - 2432*y = 0.
-152, 0, 2
Factor -6*k**3/11 - 6*k**2/11 + 12*k/11.
-6*k*(k - 1)*(k + 2)/11
Factor -1681*y**4 + 246*y**3 - 9*y**2.
-y**2*(41*y - 3)**2
What is r in 4*r**2/9 - 680*r/3 + 28900 = 0?
255
Find t such that -6*t**5 - 15*t**4 + 60*t**3 + 105*t**2 - 180*t - 108 = 0.
-3, -1/2, 2
Let -5*y**5 - 125*y**4 - 105*y**3 + 385*y**2 + 610*y + 240 = 0. What is y?
-24, -1, 2
Solve -5*b**2 - 20*b - 15 = 0 for b.
-3, -1
Factor -2*g**3/13 - 76*g**2/13 + 1358*g/13 - 392.
-2*(g - 7)**2*(g + 52)/13
Factor 2*o**3 - 70*o**2 - 8*o + 280.
2*(o - 35)*(o - 2)*(o + 2)
Solve -m**2/5 - 36*m/5 - 7 = 0.
-35, -1
Factor -3*u**4 - 8*u**3 + 25*u**2 + 42*u - 72.
-(u - 2)*(u + 3)**2*(3*u - 4)
Factor -2*k**4/7 + 18*k**3 - 378*k**2 + 2646*k.
-2*k*(k - 21)**3/7
Factor 2*y**3/3 + 14*y**2/3 - 2*y/3 - 14/3.
2*(y - 1)*(y + 1)*(y + 7)/3
Factor 147*m**3/5 - 378*m**2 - 43884*m/5 - 165048/5.
3*(m - 26)*(7*m + 46)**2/5
Factor i**3/7 - 8061*i**2/7 + 21659907*i/7 - 19400056703/7.
(i - 2687)**3/7
Suppose 20*i**3 - 235*i**2 + 660*i + 180 = 0. What is i?
-1/4, 6
What is l in -2*l**3/13 + 964*l**2/13 + 2*l/13 - 964/13 = 0?
-1, 1, 482
Factor -v**5/5 - 4*v**4/5 + 14*v**2/5 + 17*v/5 + 6/5.
-(v - 2)*(v + 1)**3*(v + 3)/5
Factor -2*b**4/9 - 2*b**3 - 20*b**2/3 - 88*b/9 - 16/3.
-2*(b + 2)**3*(b + 3)/9
Solve 5*f**3 - 225*f**2 - 1220*f - 1500 = 0 for f.
-3, -2, 50
Solve 32*b**4/3 + 9256*b**3/3 - 2318*b**2 + 3479*b/6 - 145/3 = 0 for b.
-290, 1/4
Suppose 2*w**3/5 - 206*w**2/5 + 5406*w/5 - 5202/5 = 0. What is w?
1, 51
Factor -3*c**3/4 + 39*c**2/4 - 141*c/4 + 105/4.
-3*(c - 7)*(c - 5)*(c - 1)/4
Let 2*a**3 - 12*a**2 + 6*a + 20 = 0. What is a?
-1, 2, 5
What is j in 2*j**3/5 - 34*j**2/5 - 624*j/5 - 2088/5 = 0?
-6, 29
Solve -6*z**4/7 + 342*z**3/7 + 4752*z**2/7 + 14904*z/7 = 0 for z.
-6, 0, 69
Solve 24*j**5 + 12*j**4 - 501*j**3/2 + 627*j**2/2 - 111*j + 12 = 0.
-4, 1/4, 1, 2
Factor -4*t**5 + 24*t**4 - 36*t**3 + 16*t**2.
-4*t**2*(t - 4)*(t - 1)**2
Find o, given that 6*o**2/5 - 408*o/5 - 414/5 = 0.
-1, 69
Factor -15*p**3 + 177*p**2 + 36*p.
-3*p*(p - 12)*(5*p + 1)
Factor -x**3/3 + 2*x**2/3 + x/3 - 2/3.
-(x - 2)*(x - 1)*(x + 1)/3
Factor 3*l**4/4 - 105*l**3/4 + 429*l**2/2.
3*l**2*(l - 22)*(l - 13)/4
Solve 5*h**2 - 6010*h + 1806005 = 0.
601
Let 3*t**5/2 + 57*t**4/2 + 153*t**3/2 - 1353*t**2/2 - 726*t = 0. What is t?
-11, -1, 0, 4
Suppose -4*l**4/9 + 1004*l**3/9 - 4948*l**2/9 + 2300*l/3 - 328 = 0. What is l?
1, 3, 246
Determine i, given that 2*i**2/5 - 206*i/5 + 5244/5 = 0.
46, 57
Factor r**2/5 + 184*r/5.
r*(r + 184)/5
Factor d**3 - 78*d**2 + 2028*d - 17576.
(d - 26)**3
Find r, given that 2*r**4/11 + 12*r**3/11 + 8*r**2/11 - 12*r/11 - 10/11 = 0.
-5, -1, 1
Factor o**2/9 - 6*o - 295/9.
(o - 59)*(o + 5)/9
Determine x, given that -x**2 - 3820*x/7 + 156 = 0.
-546, 2/7
Solve -6*z**2/5 + 886*z/5 + 892/5 = 0.
-1, 446/3
Let -2*z**4 + 56*z**3 - 264*z**2 - 1792*z - 2048 = 0. What is z?
-2, 16
Suppose -35*w**5/3 - 50*w**4/3 + 65*w**3 + 230*w**2/3 - 220*w/3 - 40 = 0. Calculate w.
-2, -3/7, 1, 2
Solve 119*u**5/5 - 2*u**4/5 - 119*u**3/5 + 2*u**2/5 = 0 for u.
-1, 0, 2/119, 1
What is j in 2*j**5 + 14*j**4 + 32*j**3 + 16*j**2 - 32*j - 32 = 0?
-2, 1
Factor -k**2/4 + k + 5/4.
-(k - 5)*(k + 1)/4
What is z in -4*z**4 - 44*z**3 - 172*z**2 - 276*z - 144 = 0?
-4, -3, -1
Factor 3*a**4 + 31*a**3 + 163*a**2/3 - 65*a/3 - 200/3.
(a - 1)*(a + 8)*(3*a + 5)**2/3
Factor 3*a**4 - 30*a**3 + 99*a**2 - 108*a.
3*a*(a - 4)*(a - 3)**2
Find n, given that 4*n**4/5 - 24*n**3/5 - 92*n**2 - 240*n = 0.
-5, -4, 0, 15
Find a such that -a**3/6 - a**2/6 + 2*a/3 + 2/3 = 0.
-2, -1, 2
Factor 2*l**3/3 + 1244*l**2/3 + 194680*l/3 + 384400/3.
2*(l + 2)*(l + 310)**2/3
Factor 4*d**2/7 - 848*d/7 + 44944/7.
4*(d - 106)**2/7
Suppose -5*y**2 + 700*y - 8255 = 0. What is y?
13, 127
Factor -3*m**4/7 + 27*m**3/7 - 60*m**2/7 + 36*m/7.
-3*m*(m - 6)*(m - 2)*(m - 1)/7
Factor 2*p**4/5 + 12*p**3/5 - 8*p**2/5 - 48*p/5.
2*p*(p - 2)*(p + 2)*(p + 6)/5
Factor -33*k**3/5 + 127*k**2/5 - 22*k/5.
-k*(3*k - 11)*(11*k - 2)/5
Factor -o**3/4 - o**2/2 + o/4 + 1/2.
-(o - 1)*(o + 1)*(o + 2)/4
Factor 5*x**4 + 22*x**3 + 20*x**2 - 6*x - 9.
(x + 1)**2*(x + 3)*(5*x - 3)
Suppose 6*n**2/5 - 968*n/5 - 648/5 = 0. What is n?
-2/3, 162
Factor 3*h**3 + 75*h**2 + 417*h - 495.
3*(h - 1)*(h + 11)*(h + 15)
Find r, given that 3*r**2 + 990*r + 81675 = 0.
-165
Factor -2*s**3/19 - 80*s**2/19 - 78*s/19.
-2*s*(s + 1)*(s + 39)/19
Factor 144*g**4 - 168*g**3 - 263*g**2 + 47*g - 2.
(g - 2)*(g + 1)*(12*g - 1)**2
Find w such that -w**3/3 + 16*w**2/3 - 28*w + 48 = 0.
4, 6
Factor -o**2 - 13*o.
-o*(o + 13)
Factor 4*b**2 - 1528*b + 145924.
4*(b - 191)**2
Suppose -4*k**3 + 12*k**2 + 96*k - 320 = 0. Calculate k.
-5, 4
Solve w**5/3 - 5*w**4 + 30*w**3 - 90*w**2