**2*(q + 215)
Factor 609*v**2/5 - 4254*v/5 - 63/5.
3*(v - 7)*(203*v + 3)/5
Find z such that 3*z**5 - 99*z**4 + 657*z**3 + 2595*z**2 + 2808*z + 972 = 0.
-1, 18
Factor m**2/5 - m + 6/5.
(m - 3)*(m - 2)/5
Factor -5*q**4 + 490*q**3 - 12485*q**2 + 23520*q - 11520.
-5*(q - 48)**2*(q - 1)**2
What is d in 33*d**5 - 60*d**4 - 12*d**3 + 66*d**2 - 21*d - 6 = 0?
-1, -2/11, 1
Suppose -4*t**4/11 - 28*t**3/11 - 47*t**2/11 + 7*t/11 + 12/11 = 0. What is t?
-4, -3, -1/2, 1/2
What is b in b**2/2 - 223*b/2 - 112 = 0?
-1, 224
Factor 3*o**3/8 + 63*o**2/4.
3*o**2*(o + 42)/8
Determine u, given that u**3/3 - 59*u**2/3 + 224*u/3 - 220/3 = 0.
2, 55
Suppose 52*i**3 + 848*i**2 + 1540*i + 744 = 0. Calculate i.
-186/13, -1
Factor 18*p**3/5 - 536*p**2/5 - 678*p/5 - 124/5.
2*(p - 31)*(p + 1)*(9*p + 2)/5
Factor -5*k**4 - 50*k**3 + 60*k**2 + 50*k - 55.
-5*(k - 1)**2*(k + 1)*(k + 11)
Find y such that 3*y**3 + 77*y**2 + 428*y + 252 = 0.
-18, -7, -2/3
Factor 4*y**2 - 1180*y + 5800.
4*(y - 290)*(y - 5)
Factor -3*u**2 + 36*u - 60.
-3*(u - 10)*(u - 2)
Let f**3/5 + 66*f**2/5 + 252*f/5 + 248/5 = 0. What is f?
-62, -2
Let -n**4/4 + 9*n**3/2 = 0. Calculate n.
0, 18
Factor -y**3/7 - 400*y**2/7 + 401*y/7.
-y*(y - 1)*(y + 401)/7
What is c in -c**4/3 - 10*c**3/3 - 13*c**2/3 + 8*c = 0?
-8, -3, 0, 1
Let -2*g**4 - 10*g**3 - 8*g**2 = 0. What is g?
-4, -1, 0
Let c**2/3 - 11*c/3 + 10 = 0. Calculate c.
5, 6
Suppose -y**4 - 4*y**3 - y**2 + 6*y = 0. Calculate y.
-3, -2, 0, 1
What is b in -b**3/2 + 42*b**2 - 882*b = 0?
0, 42
Suppose -10*f**2/11 - 32*f/11 - 6/11 = 0. What is f?
-3, -1/5
Factor 2*s**3/11 - 138*s**2/11 + 270*s/11 + 85050/11.
2*(s - 45)**2*(s + 21)/11
Factor 4*i**2 - 1228*i/3 - 1120.
4*(i - 105)*(3*i + 8)/3
Factor 4*t**2/7 + 4*t - 72/7.
4*(t - 2)*(t + 9)/7
Factor -2*z**4 + 63*z**3/2 + 85*z**2/2.
-z**2*(z - 17)*(4*z + 5)/2
Let 2*m**5 + 2*m**4 - 18*m**3 - 26*m**2 + 16*m + 24 = 0. What is m?
-2, -1, 1, 3
Factor -2*x**3/3 + 4*x**2/3 + 40*x/3 + 16.
-2*(x - 6)*(x + 2)**2/3
Factor -2*b**2 - 432*b - 23328.
-2*(b + 108)**2
Factor -2*k**2/9 - 20*k/9.
-2*k*(k + 10)/9
Find k such that -3*k**5 + 123*k**4 - 1620*k**3 + 7500*k**2 - 6000*k = 0.
0, 1, 10, 20
Find f, given that -14*f**2 + 508*f - 144 = 0.
2/7, 36
Let k**2/4 - k/4 - 18 = 0. Calculate k.
-8, 9
Factor 125*x**2 - 2390*x + 285.
5*(x - 19)*(25*x - 3)
Suppose -4*r**4 - 8*r**3 + 128*r**2 - 120*r - 252 = 0. What is r?
-7, -1, 3
Suppose 4*a**5/5 + 68*a**4/5 + 316*a**3/5 + 124*a**2 + 544*a/5 + 176/5 = 0. Calculate a.
-11, -2, -1
Determine o so that -o**4/8 - 3*o**3/4 - 11*o**2/8 - 3*o/4 = 0.
-3, -2, -1, 0
Determine k, given that -k**2/2 + 12*k - 72 = 0.
12
Let -8*m**4 - 22*m**3 - 4*m**2 + 22*m + 12 = 0. What is m?
-2, -1, -3/4, 1
Factor 2*i**3/7 + 166*i**2/7 - 516*i/7.
2*i*(i - 3)*(i + 86)/7
Factor 12*f**2 + 1376*f - 460.
4*(f + 115)*(3*f - 1)
Factor 2*a**5 + 126*a**4 + 124*a**3.
2*a**3*(a + 1)*(a + 62)
Factor -50*x**4/7 - 18840*x**3/7 - 15048*x**2/7 - 3008*x/7.
-2*x*(x + 376)*(5*x + 2)**2/7
Factor 18*p**4 - 111*p**3.
3*p**3*(6*p - 37)
What is z in 2*z**3/3 - 16*z**2 - 482*z/3 - 320 = 0?
-5, -3, 32
Factor 3*f**3 - 2685*f**2 + 599424*f + 602112.
3*(f - 448)**2*(f + 1)
Factor 25*k**4 - 135*k**3 + 225*k**2 - 145*k + 30.
5*(k - 3)*(k - 1)**2*(5*k - 2)
Factor -3*g**2/4 - 20571*g/2 - 141055347/4.
-3*(g + 6857)**2/4
Factor 2*l**3/3 - 38*l**2/3 + 70*l/3 - 34/3.
2*(l - 17)*(l - 1)**2/3
Factor i**3 + 21*i**2 - 76*i - 96.
(i - 4)*(i + 1)*(i + 24)
Solve 3*n**2/7 - 60*n/7 - 9 = 0.
-1, 21
Determine x so that -15*x**5/2 - 99*x**4/2 - 249*x**3/2 - 297*x**2/2 - 84*x - 18 = 0.
-2, -1, -3/5
Determine z, given that -2*z**5 - 26*z**4 - 92*z**3 - 24*z**2 + 144*z = 0.
-6, -2, 0, 1
Let -9*m**5/2 + 213*m**4/4 - 611*m**3/4 + 114*m**2 + 33*m - 8 = 0. Calculate m.
-1/3, 1/6, 2, 8
Solve k**2/8 - 386*k + 297992 = 0.
1544
Factor 4*w**3 - 76*w**2 + 396*w - 324.
4*(w - 9)**2*(w - 1)
Factor i**2/3 + 24*i - 385/3.
(i - 5)*(i + 77)/3
Factor 4*n**2 - 240*n.
4*n*(n - 60)
What is r in -9*r**3 - 6*r**2 + 21*r - 6 = 0?
-2, 1/3, 1
Factor 3*k**4 + 162*k**3 + 1839*k**2 - 9396*k + 10092.
3*(k - 2)**2*(k + 29)**2
Suppose -4*h**4 + 104*h**3 + 364*h**2 - 464*h = 0. Calculate h.
-4, 0, 1, 29
Factor o**3/2 - 55*o**2/2 - 28*o.
o*(o - 56)*(o + 1)/2
Suppose 5*s**3 + 2040*s**2 + 277440*s + 12577280 = 0. Calculate s.
-136
Factor 3*c**2 + 69*c + 66.
3*(c + 1)*(c + 22)
Factor -4*t**2 - 8*t + 60.
-4*(t - 3)*(t + 5)
Factor -4*g**3/3 + 8*g**2 + 4*g/3 - 8.
-4*(g - 6)*(g - 1)*(g + 1)/3
Find o, given that 5*o**2/2 - 115*o/2 - 125 = 0.
-2, 25
Factor -g**3/5 + 951*g**2/5 - 45315*g + 45125.
-(g - 475)**2*(g - 1)/5
What is o in 12*o**4 - 28*o**3 + 8*o**2 = 0?
0, 1/3, 2
Let -3*w**4/5 - 264*w**3/5 - 5796*w**2/5 + 1056*w/5 + 23232/5 = 0. What is w?
-44, -2, 2
Suppose 5*n**5 + 20*n**4 + 10*n**3 - 20*n**2 - 15*n = 0. Calculate n.
-3, -1, 0, 1
Let -5*h**3 - 325*h**2 - 5440*h - 5120 = 0. What is h?
-32, -1
Find o such that 2*o**4 - 20*o**3 + 18*o**2 = 0.
0, 1, 9
Solve -g**3/2 + 31*g**2/2 - 112*g - 128 = 0 for g.
-1, 16
Factor -2*n**3 - 38*n**2/3.
-2*n**2*(3*n + 19)/3
Factor 2*w**2/9 - 4*w/3 - 182/9.
2*(w - 13)*(w + 7)/9
Find f such that 14*f**2 - 32*f + 128/7 = 0.
8/7
Factor q**3/7 + 17*q**2/7 + 16*q/7.
q*(q + 1)*(q + 16)/7
Suppose 2*l**2 - 268*l - 2272 = 0. What is l?
-8, 142
Let -2*o**2 - 20*o + 48 = 0. Calculate o.
-12, 2
Find i such that -i**2 - 7184*i - 12902464 = 0.
-3592
Determine s so that -2*s**3/23 + 22*s**2/23 + 50*s/23 + 26/23 = 0.
-1, 13
Suppose 3*h**3 + 66*h**2 + 276*h - 840 = 0. What is h?
-14, -10, 2
Factor 5*c**3 + 80*c**2 + 420*c + 720.
5*(c + 4)*(c + 6)**2
Factor 3*l**2/2 - 1017*l/2.
3*l*(l - 339)/2
Factor -3*m**2/5 - 12*m/5 + 3.
-3*(m - 1)*(m + 5)/5
Let -3*n**5/4 - 101*n**4/4 - 991*n**3/4 - 2055*n**2/4 + 1575*n/2 = 0. What is n?
-15, -14/3, 0, 1
Solve -21*i**5 + 132*i**4 + 132*i**3 - 174*i**2 - 111*i + 42 = 0.
-1, 2/7, 1, 7
Factor 2*r**2/11 - 248*r/11 + 246/11.
2*(r - 123)*(r - 1)/11
Factor -2*k**2 + 28*k - 66.
-2*(k - 11)*(k - 3)
Determine k so that -4*k**3 - 40*k**2 + 92*k - 48 = 0.
-12, 1
Factor r**4 + 6*r**3 + 12*r**2 + 10*r + 3.
(r + 1)**3*(r + 3)
Factor -2*o**2 + 66*o.
-2*o*(o - 33)
Factor -3*f**5 + 273*f**4 - 6609*f**3 + 18219*f**2 - 17688*f + 5808.
-3*(f - 44)**2*(f - 1)**3
Factor 3*v**3/2 - 1719*v**2/2 + 328329*v/2 - 20903613/2.
3*(v - 191)**3/2
Suppose -3*r**3/2 - 273*r**2/2 + 3*r/2 + 273/2 = 0. What is r?
-91, -1, 1
What is h in -2*h**2 + 28*h - 80 = 0?
4, 10
Factor 2*h**2 - 167*h/3 - 173/3.
(h + 1)*(6*h - 173)/3
Suppose -4*l**2 - 24*l - 36 = 0. Calculate l.
-3
Solve -3*x**4 - 30*x**3 - 72*x**2 + 30*x + 75 = 0 for x.
-5, -1, 1
Let -3*n**5 - 126*n**4 - 465*n**3 - 330*n**2 + 468*n + 456 = 0. What is n?
-38, -2, -1, 1
Determine z so that -224*z**4 - 400*z**3 - 222*z**2 - 50*z - 4 = 0.
-1, -2/7, -1/4
Let -i**4 - 7*i**3 + 3*i**2 + 19*i - 14 = 0. Calculate i.
-7, -2, 1
Factor s**4/3 - 19*s**3/3 - 21*s**2 - 65*s/3 - 22/3.
(s - 22)*(s + 1)**3/3
Factor -r**3/6 - 8*r**2/3 - 14*r/3.
-r*(r + 2)*(r + 14)/6
Factor 2*t**2/9 - 128/9.
2*(t - 8)*(t + 8)/9
Let 6*x**5 + 8*x**4 + 2*x**3 = 0. What is x?
-1, -1/3, 0
Find d, given that -2*d**3/13 - 82*d**2 - 142576*d/13 - 141512/13 = 0.
-266, -1
Find q such that 29*q**2/2 + 350*q + 48 = 0.
-24, -4/29
Determine k, given that -3*k**2 + 237*k - 462 = 0.
2, 77
Solve 2*p**2 - 42*p + 180 = 0.
6, 15
Find x, given that 49*x**3/8 + 7*x**2/8 - 5*x - 2 = 0.
-4/7, 1
Factor 2*p**4 + 1080*p**3 + 218700*p**2 + 19683000*p + 664301250.
2*(p + 135)**4
Factor 5*w**3 + 355*w**2 + 1020*w.
5*w*(w + 3)*(w + 68)
Solve d**4 + d**3 - 9*d**2 + 11*d - 4 = 0.
-4, 1
What is y in -15*y**4 - 70*y**3 - 115*y**2 - 80*y - 20 = 0?
-2, -1, -2/3
Factor s**5/4 - 5*s**4/2 + 25*s**3/4 + 5*s**2 - 20*s - 16.
(s - 4)**3*(s + 1)**2/4
Factor -k**5 - 3*k**4 + 13*k**3 + 15*k**2.
-k**2*(k - 3)*(k + 1)*(k + 5)
Let -5*m**4/7 + 277*m**3/7 - 3750*m**2/7 - 352*m + 224 = 0. What is m?
-1, 2/5, 28
Determine f, given that -2*f**3 + 512*f**2 + 518*f - 1028 = 0.
-2, 1, 257
Factor 5*k**5 + 60*k**4 + 55*k**3.
5*k**3*(k + 1)*(k + 11)
Factor -m**4/2 + 7*m**3 - 13*m**2/2.
-m**2*(m - 13)*(m - 1)/2
Factor u**4/4 - 5*u**3 + 24*u**2 + 20*u - 100.
(u - 10)**2*(u - 2)*(u + 2)/4
Let h**3/2 - 5*h**2 - 37*h/2 - 13 = 0. What is h?
-2, -1, 13
Suppose 6*j**4 + 32*j**3 + 4*j**2 - 32*j - 10 = 0. Calculate j.
-5, -1, -1/3, 1
Determine i s