**2 + 114*q - 63.
3*(q - 7)*(q - 1)**2*(q + 3)
Let -z**2/4 + 25*z + 101/4 = 0. Calculate z.
-1, 101
Solve -5*j**3 - 260*j**2 + 5*j + 260 = 0 for j.
-52, -1, 1
Factor 3*x**3/5 + 951*x**2 + 1886544*x/5 + 1881792/5.
3*(x + 1)*(x + 792)**2/5
Solve w**2/5 - 87*w/5 - 88/5 = 0.
-1, 88
Let -10*j**4 + 345*j**3 + 540*j**2 + 5*j - 180 = 0. Calculate j.
-1, 1/2, 36
Find k such that -3*k**2 + 3*k = 0.
0, 1
Factor -6*h**2/5 - 308*h/5 - 102/5.
-2*(h + 51)*(3*h + 1)/5
Find y, given that -5*y**3 + 20*y**2 - 20*y = 0.
0, 2
Let -108*n**2 + 4164*n - 920 = 0. What is n?
2/9, 115/3
Suppose 2*f**3/15 - 358*f**2/15 + 236*f/5 = 0. Calculate f.
0, 2, 177
Factor 7*k**3 - 18*k**2 + 8*k.
k*(k - 2)*(7*k - 4)
Factor 2*s**3 - 44*s**2 + 114*s.
2*s*(s - 19)*(s - 3)
Solve 4*v**2 - 512*v + 1008 = 0 for v.
2, 126
Factor -2*m**2 - 516*m - 33282.
-2*(m + 129)**2
Factor 4*z**4 - 4*z**3 - 8*z**2.
4*z**2*(z - 2)*(z + 1)
Let t**5/3 + 11*t**4/9 + 5*t**3/3 + t**2 + 2*t/9 = 0. Calculate t.
-1, -2/3, 0
What is c in 5*c**5/2 + c**4/2 - 42*c**3 + 82*c**2 - 40*c = 0?
-5, 0, 4/5, 2
Factor -2*m**2 + 24*m - 22.
-2*(m - 11)*(m - 1)
Factor -4*o**3/7 - 1424*o**2/7 + 2860*o/7 - 1432/7.
-4*(o - 1)**2*(o + 358)/7
Suppose -4*j**3/3 - 68*j**2 + 216*j = 0. What is j?
-54, 0, 3
What is z in 5*z**3/4 - 1635*z**2/4 + 178215*z/4 - 6475145/4 = 0?
109
Solve -j**2 + 9*j + 70 = 0 for j.
-5, 14
Factor -5*d**4 - 140*d**3 - 1185*d**2 - 3850*d - 4000.
-5*(d + 2)*(d + 5)**2*(d + 16)
Factor -2*x**3/5 + 4*x**2 - 64*x/5 + 64/5.
-2*(x - 4)**2*(x - 2)/5
Factor -2*q**2/9 + 374*q/9.
-2*q*(q - 187)/9
Let -q**2/11 - 531*q/11 - 530/11 = 0. Calculate q.
-530, -1
Factor -3*h**3 - 2868*h**2 + 11508*h - 11520.
-3*(h - 2)**2*(h + 960)
Factor 3*f**4/4 - 3*f**3/4 - 15*f**2/4 - 9*f/4.
3*f*(f - 3)*(f + 1)**2/4
Factor -u**4 - 6*u**3 - 9*u**2 - 4*u.
-u*(u + 1)**2*(u + 4)
Solve 5*b**2 - 35*b + 60 = 0 for b.
3, 4
Factor -j**2 + 208*j + 209.
-(j - 209)*(j + 1)
Find k such that -2*k**3/9 + 122*k**2/9 - 40*k/3 = 0.
0, 1, 60
Factor 2*a**3/9 + 14*a**2/3 + 30*a + 550/9.
2*(a + 5)**2*(a + 11)/9
Factor -o**3/2 - 5*o**2 - 23*o/2 - 7.
-(o + 1)*(o + 2)*(o + 7)/2
Factor c**5/2 - 5*c**4/2 + 3*c**3 + c**2 - 7*c/2 + 3/2.
(c - 3)*(c - 1)**3*(c + 1)/2
Find i, given that 9*i**3 - 507*i**2 + 664*i - 220 = 0.
2/3, 55
Factor k**4 + 6*k**3 + 5*k**2 - 24*k - 36.
(k - 2)*(k + 2)*(k + 3)**2
Find y such that -3*y**3 + 30*y**2 - 81*y + 54 = 0.
1, 3, 6
Factor 5*h**4 - 140*h**3 + 1250*h**2 - 3060*h - 4455.
5*(h - 11)*(h - 9)**2*(h + 1)
Solve -2*c**3 + 10*c**2 + 44*c + 32 = 0 for c.
-2, -1, 8
Factor -2*q**4/3 + 4*q**3 - 8*q**2 + 20*q/3 - 2.
-2*(q - 3)*(q - 1)**3/3
Find z, given that -2*z**2 - 232*z - 896 = 0.
-112, -4
Factor -u**5 + 6*u**4 + 3*u**3 - 16*u**2 - 12*u.
-u*(u - 6)*(u - 2)*(u + 1)**2
Suppose g**4 + 9*g**3 + 24*g**2 + 16*g = 0. Calculate g.
-4, -1, 0
Factor -2*z**2/9 - 46*z/9 - 44/9.
-2*(z + 1)*(z + 22)/9
Determine t, given that -4*t**2/7 - 2452*t/7 + 4920/7 = 0.
-615, 2
Factor -82*c**2 - 4*c.
-2*c*(41*c + 2)
Factor g**3/5 + 123*g**2/5.
g**2*(g + 123)/5
Suppose -r**5/2 + 3*r**4/2 + 23*r**3/2 + 33*r**2/2 + 7*r = 0. Calculate r.
-2, -1, 0, 7
Find o, given that o**2/3 - o/3 - 2 = 0.
-2, 3
Factor -4*y**2 - 52*y + 56.
-4*(y - 1)*(y + 14)
Solve 4*t**5/7 - 5*t**4/7 - 15*t**3/7 + 20*t**2/7 - 4*t/7 = 0.
-2, 0, 1/4, 1, 2
Factor 9*l**3 - 9339*l**2 - 12464*l - 4156.
(l - 1039)*(3*l + 2)**2
Factor r**5/3 - 2*r**4/3 - 5*r**3/3 + 2*r**2.
r**2*(r - 3)*(r - 1)*(r + 2)/3
Find h such that 3*h**2 + 428*h - 143 = 0.
-143, 1/3
Factor -t**2/2 + 3*t/2 + 2.
-(t - 4)*(t + 1)/2
Find f such that 5*f**4 + 10*f**3 - 20*f**2 - 10*f + 15 = 0.
-3, -1, 1
Suppose r**5 + 26*r**4 + 165*r**3 = 0. What is r?
-15, -11, 0
Let -v**2/3 - 150*v - 16875 = 0. Calculate v.
-225
Factor 2*q**4/17 + 20*q**3/17 + 2*q**2 + 16*q/17.
2*q*(q + 1)**2*(q + 8)/17
Suppose -4*u**3 + 208*u**2 - 964*u + 1128 = 0. What is u?
2, 3, 47
Factor -3*f**4/7 + 9*f**3/7 - 12*f/7.
-3*f*(f - 2)**2*(f + 1)/7
Determine g, given that -27*g**4 + 150*g**3 - 553*g**2/3 + 196*g/3 = 0.
0, 7/9, 4
Factor -3*u**5 - 339*u**4 - 12654*u**3 - 151620*u**2 + 164616*u.
-3*u*(u - 1)*(u + 38)**3
Factor -2*z**3 + 17*z**2 - 8*z.
-z*(z - 8)*(2*z - 1)
Factor 5*u**4 - 4130*u**3 + 1138500*u**2 - 105118750*u + 103984375.
5*(u - 275)**3*(u - 1)
Factor 51*q**2 - 6*q.
3*q*(17*q - 2)
Determine q, given that -3*q**2 + 48*q + 396 = 0.
-6, 22
Factor -2*b**4 - 12*b**3 - 18*b**2 - 8*b.
-2*b*(b + 1)**2*(b + 4)
Suppose -g**3/6 - 2*g**2 - 15*g/2 - 9 = 0. Calculate g.
-6, -3
Suppose 2*s**4/13 + 4*s**3/13 - 40*s**2/13 + 48*s/13 = 0. What is s?
-6, 0, 2
Factor 4*d**2 + 116*d - 528.
4*(d - 4)*(d + 33)
Solve 15*z**3 + 355*z**2 - 770*z = 0 for z.
-77/3, 0, 2
Factor r**4/9 - 22*r**3/9 + 37*r**2/3 - 10*r.
r*(r - 15)*(r - 6)*(r - 1)/9
Let -2*k**3 - 14*k**2 - 30*k - 18 = 0. What is k?
-3, -1
Suppose -l**4/3 + 26*l**3 + 53*l**2 + 80*l/3 = 0. What is l?
-1, 0, 80
Solve b**3/4 - 57*b**2 + 3249*b = 0.
0, 114
Solve -35*b**4 - 1670*b**3 - 11280*b**2 + 222880*b - 62720 = 0 for b.
-28, 2/7, 8
Factor -2*o**2/9 + 16*o/9 + 2.
-2*(o - 9)*(o + 1)/9
Factor -w**4 + 25*w**3 + 3*w**2 - 77*w + 50.
-(w - 25)*(w - 1)**2*(w + 2)
Factor 2*w**4 - 12*w**3 + 8*w**2 + 12*w - 10.
2*(w - 5)*(w - 1)**2*(w + 1)
Factor -3*i**5/2 - 3*i**4 + 27*i**3 - 48*i**2 + 69*i/2 - 9.
-3*(i - 1)**4*(i + 6)/2
What is q in 2*q**2/9 - 466*q/9 = 0?
0, 233
Factor 4*a**5 - 292*a**4 + 5664*a**3 - 44288*a**2 + 137216*a - 98304.
4*(a - 48)*(a - 8)**3*(a - 1)
Factor -2*s**3/3 + 172*s**2 + 518*s/3.
-2*s*(s - 259)*(s + 1)/3
Determine t so that 3*t**3 + 54*t**2 + 153*t - 210 = 0.
-14, -5, 1
Determine y so that 3*y**2 + 9780*y + 7970700 = 0.
-1630
Factor 3*g**2 + 39*g - 90.
3*(g - 2)*(g + 15)
Factor 2*s**3 + 386*s**2 + 18816*s + 18432.
2*(s + 1)*(s + 96)**2
Factor 5*k**2 - 155*k + 420.
5*(k - 28)*(k - 3)
Let -279*f**5 + 564*f**4 + 267*f**3 - 564*f**2 + 12*f = 0. What is f?
-1, 0, 2/93, 1, 2
Determine l, given that -24*l**5/7 - 26*l**4/7 + 202*l**3/7 + 316*l**2/7 - 72*l/7 - 144/7 = 0.
-2, -3/4, 2/3, 3
Find g such that -g**2/2 + 8*g - 32 = 0.
8
Factor 3*y**2 + 72*y + 132.
3*(y + 2)*(y + 22)
Factor 4*y**4 + 200*y**3 + 3264*y**2 + 16184*y - 19652.
4*(y - 1)*(y + 17)**3
Factor -2*m**2/13 - 2608*m/13.
-2*m*(m + 1304)/13
Find q such that 10*q**4 - 212*q**3 + 3018*q**2/5 - 504*q + 648/5 = 0.
3/5, 2, 18
What is f in -5*f**3/4 + 1535*f/4 - 765/2 = 0?
-18, 1, 17
Solve -i**2/7 - 53*i/7 - 52/7 = 0 for i.
-52, -1
Solve -6*r**4/5 + 36*r**3/5 - 72*r**2/5 + 12*r - 18/5 = 0.
1, 3
Suppose 2*z**2 - 2684*z = 0. What is z?
0, 1342
Factor l**3 - 22*l**2 - 73*l - 50.
(l - 25)*(l + 1)*(l + 2)
What is w in 3*w**2 - 189*w - 192 = 0?
-1, 64
What is a in -a**3 + 940*a**2 - 2811*a = 0?
0, 3, 937
Factor 5*n**2 - 450*n - 2375.
5*(n - 95)*(n + 5)
Factor s**4/3 + 20*s**3/3 + 19*s**2/3.
s**2*(s + 1)*(s + 19)/3
Factor -3*a**2/2 - 129*a/2 + 135.
-3*(a - 2)*(a + 45)/2
Determine m, given that -16*m**5/5 - 62*m**4/5 - 88*m**3/5 - 52*m**2/5 - 8*m/5 + 2/5 = 0.
-1, 1/8
Factor 2*s**2/5 + 64*s/5 - 66/5.
2*(s - 1)*(s + 33)/5
Factor -2*w**3/7 - 264*w**2/7 - 2440*w/7.
-2*w*(w + 10)*(w + 122)/7
Factor -5*c**3 - 45*c**2 - 40*c.
-5*c*(c + 1)*(c + 8)
Factor -2*m**2 - 62*m.
-2*m*(m + 31)
Find z such that -28*z**2/3 - 26*z/9 - 2/9 = 0.
-1/6, -1/7
Solve s**5 - 5*s**4 + 7*s**3 - 3*s**2 = 0 for s.
0, 1, 3
Let 2*j**5/7 + 16*j**4/7 + 10*j**3/7 - 100*j**2/7 = 0. What is j?
-5, 0, 2
What is v in -2*v**4 - 19*v**3/6 + 7*v**2/6 + 19*v/6 + 5/6 = 0?
-5/4, -1, -1/3, 1
What is m in -m**5/3 + 17*m**4/3 + 2*m**3/3 - 34*m**2/3 - m/3 + 17/3 = 0?
-1, 1, 17
Suppose a**2/4 - 213*a/2 + 45369/4 = 0. Calculate a.
213
Factor -5*c**3/2 + 150*c**2 + 6545*c/2.
-5*c*(c - 77)*(c + 17)/2
Factor 4*m**3 + 12*m**2 - 40*m - 96.
4*(m - 3)*(m + 2)*(m + 4)
Suppose 4*f**5 + 120*f**4 - 128*f**3 - 120*f**2 + 124*f = 0. What is f?
-31, -1, 0, 1
Suppose -10*o**2/3 + 62*o/9 + 244/9 = 0. Calculate o.
-2, 61/15
Solve r**5/2 - 11*r**4/4 + 5*r**3/2 + 5*r**2 - 3*r - 9/4 = 0 for r.
-1, -1/2, 1, 3
Factor -t**4 - 5*t**3 + 57*t**2 + 189*t.
-t*(t - 7)*(t + 3)*(t + 9)
Determine p so that -4*p**2 - 31208*p - 60871204 = 0.
-3901
What is g in 21*g**5/2 - 159*g**4/4 + 105*g**3/4 + 75*g**2/2 - 33*g + 6 = 0?
-1, 2/7, 1/2, 2
What is m in -m**4 - 124*m**3 - 4194*m**2 - 21476*m - 17405 = 0?
-59, -5, -1
Find o such that 5*o**4 + 1577*o**3 + 2197*o