2 - 6*p + 36 = 0.
-6, 3
Factor -2*f**2/9 - 28*f/3 + 686/9.
-2*(f - 7)*(f + 49)/9
Determine p so that p**3/7 - 78*p**2/7 - 85*p/7 + 474/7 = 0.
-3, 2, 79
Factor -z**3 + z**2 + 8*z - 12.
-(z - 2)**2*(z + 3)
Factor -3*i**3 - 372*i**2 - 10335*i + 76050.
-3*(i - 6)*(i + 65)**2
Solve -2*l**4/11 - 208*l**3/11 - 4260*l**2/11 + 5472*l - 136458/11 = 0.
-57, 3, 7
Solve -s**2/6 - 32*s/3 + 65/6 = 0 for s.
-65, 1
Suppose c**2/5 - 121*c/5 + 24 = 0. Calculate c.
1, 120
Find i, given that -4*i**5 - 16*i**4 - 16*i**3 + 8*i**2 + 20*i + 8 = 0.
-2, -1, 1
Factor -g**2/7 - 836*g/7.
-g*(g + 836)/7
Determine l so that 3*l**3/7 + 264*l**2/7 + 6063*l/7 + 11094/7 = 0.
-43, -2
Solve -l**3/3 - 31*l**2/3 + 65*l/3 - 11 = 0 for l.
-33, 1
Factor -3*c**5/7 - 594*c**4/7 + 597*c**3/7.
-3*c**3*(c - 1)*(c + 199)/7
Let -3*i**2 - 8370*i - 5838075 = 0. Calculate i.
-1395
What is v in 27735*v**3/2 - 10535*v**2 + 890*v - 20 = 0?
2/43, 2/3
Solve 2*g**3/5 + 504*g**2/5 - 1016*g/5 = 0.
-254, 0, 2
Suppose -5*n**4/2 + 115*n**3/2 - 825*n**2/2 + 1485*n/2 + 1215 = 0. Calculate n.
-1, 6, 9
Factor -2*q**2/9 - 92*q/9 - 176/9.
-2*(q + 2)*(q + 44)/9
Determine h so that -16*h**4/5 - 124*h**3/5 + 176*h**2/5 - 36*h/5 = 0.
-9, 0, 1/4, 1
Solve -2*x**5/19 + 26*x**4/19 - 6*x**3 + 10*x**2 - 100*x/19 = 0 for x.
0, 1, 2, 5
Find w such that -2*w**5/5 - 62*w**4/5 + 6*w**3/5 + 182*w**2/5 - 124*w/5 = 0.
-31, -2, 0, 1
Solve 2*j**5 - 52*j**4 - 182*j**3 + 232*j**2 = 0.
-4, 0, 1, 29
Factor -f**2/4 - 61*f/2 + 126.
-(f - 4)*(f + 126)/4
Suppose 3*k**4 + 30*k**3 - 33*k**2 = 0. What is k?
-11, 0, 1
Suppose -3*x**5/5 - 39*x**4/5 - 126*x**3/5 - 24*x**2/5 + 192*x/5 = 0. Calculate x.
-8, -4, -2, 0, 1
Factor 65*p**5 - 270*p**4 + 430*p**3 - 320*p**2 + 105*p - 10.
5*(p - 1)**4*(13*p - 2)
Factor b**5/2 - b**4/2 - b**3 + b**2 + b/2 - 1/2.
(b - 1)**3*(b + 1)**2/2
Factor 3*q**3 + 99*q**2 + 945*q + 2025.
3*(q + 3)*(q + 15)**2
Solve -137*d**2/4 - d/2 = 0 for d.
-2/137, 0
Factor -5*k**2 - 15*k + 140.
-5*(k - 4)*(k + 7)
Factor t**2 + 32*t - 144.
(t - 4)*(t + 36)
Suppose -5*b**5 + 115*b**4 - 315*b**3 + 305*b**2 - 100*b = 0. What is b?
0, 1, 20
Suppose p**2/2 + 349*p + 697/2 = 0. What is p?
-697, -1
Factor -3*q**2 - 9*q + 12.
-3*(q - 1)*(q + 4)
Factor -3*z**3/7 - 624*z**2/7 - 621*z/7.
-3*z*(z + 1)*(z + 207)/7
Solve -3*x**3 + 18*x**2 - 15*x - 36 = 0 for x.
-1, 3, 4
Factor -v**4/2 - 12*v**3 - 40*v**2.
-v**2*(v + 4)*(v + 20)/2
Factor -2*g**3 + 44*g**2 - 280*g + 400.
-2*(g - 10)**2*(g - 2)
Suppose -2*l**4 + 12*l**3 + 2*l**2 - 12*l = 0. What is l?
-1, 0, 1, 6
Factor -4*k**2 + 60*k - 144.
-4*(k - 12)*(k - 3)
Let -3*b**3/7 - 48*b**2/7 - 255*b/7 - 450/7 = 0. What is b?
-6, -5
Determine l so that l**5/9 + 25*l**4/9 + 18*l**3 - 96*l = 0.
-12, -3, 0, 2
Factor 5*d**2/3 - 395*d/3.
5*d*(d - 79)/3
Factor t**4/3 + 4*t**3 + 46*t**2/3 + 20*t + 25/3.
(t + 1)**2*(t + 5)**2/3
Let -4*m**5 + 86*m**4 + 246*m**3 - 128*m**2 - 392*m + 192 = 0. Calculate m.
-2, 1/2, 1, 24
Find q, given that 3*q**4 - 6*q**3 - 159*q**2 + 594*q - 432 = 0.
-8, 1, 3, 6
Factor 2*j**2/5 - 8968*j/5 - 1794.
2*(j - 4485)*(j + 1)/5
Let -s**3/4 + 15*s**2/4 - 31*s/2 + 18 = 0. What is s?
2, 4, 9
Find s such that 5*s**3 + 240*s**2 + 3840*s + 20480 = 0.
-16
Let 3*z**4/4 - 81*z**3/4 - 45*z**2/2 + 42*z = 0. What is z?
-2, 0, 1, 28
Factor 2*y**3/17 + 14*y**2/17 + 28*y/17 + 16/17.
2*(y + 1)*(y + 2)*(y + 4)/17
Let -s**3 - 70*s**2 + 1312*s - 5504 = 0. What is s?
-86, 8
Factor v**4/4 + v**3/2 - 19*v**2/4 - 5*v.
v*(v - 4)*(v + 1)*(v + 5)/4
What is i in 14*i**5/9 + 158*i**4/9 - 4*i**3/3 - 632*i**2/9 - 176*i/9 = 0?
-11, -2, -2/7, 0, 2
Suppose 6*z**4/7 + 24*z**3/7 - 390*z**2/7 + 792*z/7 = 0. Calculate z.
-11, 0, 3, 4
Factor 2*o**2/15 - 8*o/15 + 2/5.
2*(o - 3)*(o - 1)/15
Solve -w**3/2 + 2*w**2 - 2*w = 0.
0, 2
Factor -y**3 + 90*y**2 - 2025*y.
-y*(y - 45)**2
Find l such that l**3 + 17*l**2 + 31*l + 15 = 0.
-15, -1
Factor 8*l**2 - 44*l + 36.
4*(l - 1)*(2*l - 9)
Factor -i**4 + 19*i**2 - 30*i.
-i*(i - 3)*(i - 2)*(i + 5)
Factor -3*g**5/2 - 3*g**4/4 + 9*g**3/2.
-3*g**3*(g + 2)*(2*g - 3)/4
Determine j so that -2*j**3/23 + 1488*j**2/23 - 276768*j/23 = 0.
0, 372
Solve -u**4/7 - 218*u**3/7 - 11436*u**2/7 + 48618*u/7 - 36963/7 = 0 for u.
-111, 1, 3
Factor -a**2 + 1334*a - 444889.
-(a - 667)**2
Find g, given that -2*g**3/3 - 2*g**2/3 + 130*g/3 + 150 = 0.
-5, 9
Factor -2*q**2/5 - 62*q/5 - 116/5.
-2*(q + 2)*(q + 29)/5
Suppose 196*r**2/5 + 84*r/5 + 9/5 = 0. Calculate r.
-3/14
Suppose -a**2 + 2854*a - 2036329 = 0. What is a?
1427
Factor i**4/3 + 7*i**3/3 - 52*i**2/3 + 92*i/3 - 16.
(i - 2)**2*(i - 1)*(i + 12)/3
Suppose -b**4 + 400*b**3 + 803*b**2 + 402*b = 0. What is b?
-1, 0, 402
Factor -w**2/7 - w/7 + 6/7.
-(w - 2)*(w + 3)/7
Determine t so that -15*t**2 + 2913*t - 582 = 0.
1/5, 194
Factor 2*k**2 + 86*k - 180.
2*(k - 2)*(k + 45)
Factor u**2 + 11*u + 28.
(u + 4)*(u + 7)
Find k, given that 88*k**5/15 - 25304*k**4/15 + 1813222*k**3/15 + 278972*k**2/5 - 35712*k - 82944/5 = 0.
-1/2, 6/11, 144
Suppose -340*o**2/3 + 73*o/3 - 1/3 = 0. What is o?
1/68, 1/5
Let -4*r**5 - 32*r**4 + 12*r**3 + 88*r**2 - 64*r = 0. Calculate r.
-8, -2, 0, 1
Factor 2*u**3/13 + 10*u**2/13 + 14*u/13 + 6/13.
2*(u + 1)**2*(u + 3)/13
Determine o, given that 2*o**5/7 - 4*o**4/7 + 4*o**2/7 - 2*o/7 = 0.
-1, 0, 1
Factor s**2/2 + 9*s.
s*(s + 18)/2
Factor -4*i**4/7 + 20*i**3/7 - 4*i**2 + 12*i/7.
-4*i*(i - 3)*(i - 1)**2/7
Factor -4*c**5/7 - 52*c**4/7 - 20*c**3 + 28*c**2.
-4*c**2*(c - 1)*(c + 7)**2/7
Determine s, given that 75*s**5 + 540*s**4 + 957*s**3 - 144*s**2 - 492*s + 144 = 0.
-4, -3, -1, 2/5
Factor 5*h**5/2 - 35*h**4/2 + 95*h**3/2 - 125*h**2/2 + 40*h - 10.
5*(h - 2)**2*(h - 1)**3/2
Factor -2*i**3 - 4*i**2 + 182*i - 176.
-2*(i - 8)*(i - 1)*(i + 11)
Factor -s**3/6 - s**2 - 3*s/2 - 2/3.
-(s + 1)**2*(s + 4)/6
Solve -245*j**2/3 - 239*j/3 + 2 = 0 for j.
-1, 6/245
Solve 9*i**2/7 + 24*i/7 + 12/7 = 0.
-2, -2/3
Let -32*v**5/3 + 144*v**4 + 21368*v**3/3 + 31364*v**2/3 + 5188*v + 2584/3 = 0. What is v?
-19, -1/2, 34
Determine y, given that y**3 + 23*y**2 + 62*y + 40 = 0.
-20, -2, -1
What is l in l**2/4 - 55*l/4 + 125/2 = 0?
5, 50
Factor 3*c**2/2 - 93*c/2 + 45.
3*(c - 30)*(c - 1)/2
Factor 4*w**4 + 36*w**3 + 84*w**2 + 76*w + 24.
4*(w + 1)**3*(w + 6)
What is f in -f**4/3 - f**3/3 + 4*f**2 - 4*f/3 - 16/3 = 0?
-4, -1, 2
Factor i**2/8 - 1539*i/8.
i*(i - 1539)/8
Determine s, given that 3*s**3/2 - 390*s**2 - 1569*s/2 - 393 = 0.
-1, 262
Factor 3*b**3 - 36*b**2 - 3*b + 36.
3*(b - 12)*(b - 1)*(b + 1)
Factor -t**2/2 + 13*t - 25/2.
-(t - 25)*(t - 1)/2
Suppose -4*u**3 - 132*u**2/5 - 144*u/5 + 16 = 0. Calculate u.
-5, -2, 2/5
Find z such that 4*z**4 - 352*z**3 - 1084*z**2 - 728*z = 0.
-2, -1, 0, 91
Solve 3*n**4 + 36*n**3 + 105*n**2 - 36*n - 108 = 0.
-6, -1, 1
Factor 75*h**5 + 9255*h**4 + 374394*h**3 + 23503722*h**2/5 - 52810329*h/5 + 27387987/5.
3*(h - 1)**2*(5*h + 209)**3/5
Solve 2*d**5/9 + d**4/9 - 7*d**3/9 + d**2/9 + 5*d/9 - 2/9 = 0.
-2, -1, 1/2, 1
Factor d**2 - 5*d - 24.
(d - 8)*(d + 3)
What is t in 2*t**2/3 + 2*t = 0?
-3, 0
Factor 4*j**5 + 52*j**4 + 92*j**3 + 44*j**2.
4*j**2*(j + 1)**2*(j + 11)
Factor -2*a**3 - 616*a**2.
-2*a**2*(a + 308)
Factor -b**2/3 - b/3.
-b*(b + 1)/3
Factor 6*j**4 - 4*j**3 - 10*j**2.
2*j**2*(j + 1)*(3*j - 5)
Suppose 2*l**3/7 + 26*l**2/7 - 46*l + 42 = 0. What is l?
-21, 1, 7
Find j such that 49*j**4/4 + 420*j**3 + 7319*j**2/2 + 1020*j + 289/4 = 0.
-17, -1/7
Factor 2*k**3/5 - 52*k**2/5 - 22*k - 56/5.
2*(k - 28)*(k + 1)**2/5
Factor 3*f**3/7 - 39*f**2/7 + 15*f + 21.
3*(f - 7)**2*(f + 1)/7
Solve -k**2/8 + 358*k - 256328 = 0.
1432
Find a, given that a**2/4 + 29*a/4 + 99/2 = 0.
-18, -11
Factor -4*q**3/7 + 544*q**2/7 - 1076*q/7 + 536/7.
-4*(q - 134)*(q - 1)**2/7
Let -i**4/3 + 89*i**3/3 - 29*i**2 - 89*i/3 + 88/3 = 0. What is i?
-1, 1, 88
Suppose -3*l**5/4 - 27*l**4/4 - 81*l**3/4 - 93*l**2/4 - 9*l = 0. Calculate l.
-4, -3, -1, 0
Find z such that 4*z**5/5 - 24*z**4/5 = 0.
0, 6
Find j such that -2*j**5 + 8*j**4 + 2*j**3 - 8*j**2 = 0.
-1, 0, 1, 4
Factor 4*b**3 + 20*b**2 - 632*b + 1152.
4*(b - 9)*(b - 2)*(b + 16)
Let -a**4/2 + 405*a**3/2 - 1607*a**2/2 + 1203*a/2 = 0. What is a?
0, 1, 3, 401
What is h in -30*h**4/7 + 1352*h**3/7 - 10866*h**2/7 + 10432*h/7 - 360 = 0?
2/5, 2/3, 9, 35
Solve -2*s**2 + 32*s + 594 = 0 for s.
-11, 27
Suppose s**2/7 - 114*s/7 + 3249/7 = 0. What is s?
