 3, 8
Factor -f**3 - 3*f**2.
-f**2*(f + 3)
Determine f, given that 16*f**4 + 364*f**3 - 156*f**2 - 1456*f + 368 = 0.
-23, -2, 1/4, 2
Factor -p**4/6 + 11*p**3/6 - 35*p**2/6 + 25*p/6.
-p*(p - 5)**2*(p - 1)/6
Factor o**2/2 - 45*o/8 - 53/4.
(o + 2)*(4*o - 53)/8
Factor 6*p**3 + 80*p**2 + 88*p - 96.
2*(p + 2)*(p + 12)*(3*p - 2)
Factor 3*n**2/2 - 801*n - 1608.
3*(n - 536)*(n + 2)/2
Suppose 16*g**2/3 + 15124*g/3 + 1260 = 0. What is g?
-945, -1/4
Factor -3*k**4 - 138*k**3 - 1011*k**2 + 16380*k + 54756.
-3*(k - 9)*(k + 3)*(k + 26)**2
Let -2*m**2/15 + 136*m/15 + 146/3 = 0. Calculate m.
-5, 73
Factor 3*g**5/5 - 126*g**4/5 + 1443*g**3/5 - 504*g**2 + 240*g.
3*g*(g - 20)**2*(g - 1)**2/5
Factor 2*x**5 - 92*x**4 + 1490*x**3 - 10328*x**2 + 32096*x - 36992.
2*(x - 17)**2*(x - 4)**3
Determine i so that 2*i**3 + 24*i**2 - 122*i + 96 = 0.
-16, 1, 3
Factor 5*x**5 - 5*x**4 - 30*x**3 + 20*x**2 + 40*x.
5*x*(x - 2)**2*(x + 1)*(x + 2)
Factor 20*f**3 + 68555*f**2 + 58738780*f - 14688980.
5*(f + 1714)**2*(4*f - 1)
Let 2*o**2/13 + 24*o/13 - 320/13 = 0. Calculate o.
-20, 8
Let -35*q**3 - 55*q**2 + 135*q - 45 = 0. What is q?
-3, 3/7, 1
Suppose -m**2/6 + 131*m/6 - 238 = 0. What is m?
12, 119
Factor 4*i**2 + 196*i + 192.
4*(i + 1)*(i + 48)
Factor 38*j**2/9 + 718*j/9 - 76/9.
2*(j + 19)*(19*j - 2)/9
Factor -7*s**2/5 - 719*s/5 + 206/5.
-(s + 103)*(7*s - 2)/5
Factor -260*s**4 + 1032*s**3 - 1008*s**2 - 32*s.
-4*s*(s - 2)**2*(65*s + 2)
Factor 2*w**2/3 - 6*w - 104/3.
2*(w - 13)*(w + 4)/3
Let 12*f**4 - 249*f**3 + 1557*f**2 - 2511*f - 729 = 0. Calculate f.
-1/4, 3, 9
Factor -2*m**3 + 1470*m**2 - 360150*m + 29412250.
-2*(m - 245)**3
Factor r**4/2 + 21*r**3/4 + 17*r**2/2 - 33*r - 18.
(r - 2)*(r + 6)**2*(2*r + 1)/4
Factor 2*b**3/11 - 50*b**2/11 + 174*b/11 - 126/11.
2*(b - 21)*(b - 3)*(b - 1)/11
Determine d, given that d**3 + 47*d**2 + 90*d = 0.
-45, -2, 0
Find f such that -880*f**3/13 + 10554*f**2/13 - 31608*f/13 - 216/13 = 0.
-3/440, 6
Determine f, given that -5*f**2/6 + 5*f + 35/6 = 0.
-1, 7
What is p in -4*p**5 - 96*p**4 - 692*p**3 - 1304*p**2 + 336*p + 1760 = 0?
-11, -10, -2, 1
Determine v, given that v**2 + 47*v + 172 = 0.
-43, -4
Factor -4*c**4 + 92*c**3 - 668*c**2 + 1780*c - 1200.
-4*(c - 12)*(c - 5)**2*(c - 1)
Factor p**2/2 - p/2 - 28.
(p - 8)*(p + 7)/2
Factor -2*m**2/7 + 2*m/7 + 40/7.
-2*(m - 5)*(m + 4)/7
What is j in -2*j**4 - 34*j**3 - 16*j**2 + 280*j + 384 = 0?
-16, -2, 3
Factor -2*b**2/7 + 30*b/7 - 4.
-2*(b - 14)*(b - 1)/7
Determine r, given that -r**5 - 7*r**4 - 15*r**3 - 9*r**2 = 0.
-3, -1, 0
Factor -27*j**2/2 + 1056*j - 234.
-3*(j - 78)*(9*j - 2)/2
Let 8*t**5 - 2243*t**4 + 155384*t**3 + 257886*t**2 + 40608*t - 59643 = 0. Calculate t.
-1, 3/8, 141
Factor -5*f**3 - 30*f**2 + 225*f + 250.
-5*(f - 5)*(f + 1)*(f + 10)
Suppose 3*r**4/7 - 30*r**3 - 1332*r**2/7 - 2712*r/7 - 1824/7 = 0. Calculate r.
-2, 76
Determine q so that 2*q**3/7 + 54*q**2/7 + 148*q/7 + 96/7 = 0.
-24, -2, -1
What is c in -2*c**4/7 + 132*c**3/7 - 582*c**2/7 - 244*c = 0?
-2, 0, 7, 61
Let 2*c**5 + 16*c**4 + 44*c**3 + 48*c**2 + 18*c = 0. What is c?
-3, -1, 0
Suppose -c**3/5 + 4*c**2 - 117*c/5 + 162/5 = 0. What is c?
2, 9
Solve 2*g**3/23 - 1972*g**2/23 + 3938*g/23 - 1968/23 = 0.
1, 984
Factor 20*z**4 + 95*z**3 - 500*z**2 + 220*z + 480.
5*(z - 2)**2*(z + 8)*(4*z + 3)
Factor j**2/2 + 653*j/6 - 109/3.
(j + 218)*(3*j - 1)/6
Solve -2*i**5/3 - 6*i**4 - 16*i**3 - 40*i**2/3 = 0.
-5, -2, 0
Factor 2*n**4/7 + 12*n**3/7 - 30*n**2/7 + 16*n/7.
2*n*(n - 1)**2*(n + 8)/7
Factor 154*p**3 - 142*p**2 - 12*p.
2*p*(p - 1)*(77*p + 6)
Determine v, given that -v**5/10 + 61*v**4/10 - 647*v**3/5 + 1151*v**2 - 9085*v/2 + 13225/2 = 0.
5, 23
Determine d, given that -39*d**5 - 45*d**4 + 267*d**3 + 81*d**2 - 228*d - 36 = 0.
-3, -1, -2/13, 1, 2
Solve 2*u**2/3 + 152*u/3 - 104 = 0 for u.
-78, 2
Suppose m**5/3 + 4*m**4 + 12*m**3 = 0. What is m?
-6, 0
Let 2*t**4 + 182*t**3 - 370*t**2 + 186*t = 0. Calculate t.
-93, 0, 1
What is r in r**2 + 131*r - 540 = 0?
-135, 4
Let -3*n**5/5 + 13*n**4/5 + 2*n**3 = 0. Calculate n.
-2/3, 0, 5
Suppose -2*o**5 + 12*o**4 - 24*o**3 + 20*o**2 - 6*o = 0. Calculate o.
0, 1, 3
Let 4*s**5/3 + 16*s**4 + 68*s**3/3 - 152*s**2/3 - 112*s - 160/3 = 0. Calculate s.
-10, -2, -1, 2
Suppose -2*j**4/5 - 20*j**3 + 64*j**2 + 20*j - 318/5 = 0. What is j?
-53, -1, 1, 3
Factor -2*m**3/13 - 446*m**2/13 - 68*m.
-2*m*(m + 2)*(m + 221)/13
Suppose 2*v**4/3 - 2*v**3 + 4*v**2/3 = 0. Calculate v.
0, 1, 2
Factor -162*x**3 - 1368*x**2 - 584*x - 64.
-2*(x + 8)*(9*x + 2)**2
Determine g, given that -g**5 + 22*g**4 - 109*g**3 + 220*g**2 - 196*g + 64 = 0.
1, 2, 16
Let -j**2 + 10*j + 24 = 0. What is j?
-2, 12
Suppose -2*n**4/13 - 138*n**3/13 + 1566*n**2/13 - 1142*n/13 - 2844/13 = 0. What is n?
-79, -1, 2, 9
Solve -5*h**4 - 55*h**3 - 175*h**2 - 125*h = 0 for h.
-5, -1, 0
Factor -5*a**3 - 135*a**2.
-5*a**2*(a + 27)
Factor -9*m**2 + 763*m + 170.
-(m - 85)*(9*m + 2)
Factor p**5 + 7*p**4 + 17*p**3 + 17*p**2 + 6*p.
p*(p + 1)**2*(p + 2)*(p + 3)
Factor 20943*i**2/2 - 2330*i + 2/3.
(9*i - 2)*(6981*i - 2)/6
Find r, given that r**4/4 + 5*r**3/4 + 5*r**2/4 - 5*r/4 - 3/2 = 0.
-3, -2, -1, 1
Suppose -90*h**2 - 4*h/3 = 0. What is h?
-2/135, 0
Factor f**2 - 118*f + 456.
(f - 114)*(f - 4)
Factor x**3/3 + 10*x**2/3 + 3*x.
x*(x + 1)*(x + 9)/3
Factor m**2 - 124*m + 3844.
(m - 62)**2
Solve h**2 - 162*h - 664 = 0 for h.
-4, 166
Factor -5*d**4 + 10*d**3 + 25*d**2 - 30*d.
-5*d*(d - 3)*(d - 1)*(d + 2)
Find t, given that -2*t**3/13 + 16*t**2/13 + 168*t/13 = 0.
-6, 0, 14
Suppose -i**5 - 485*i**4/7 - 614*i**3/7 - 136*i**2/7 = 0. What is i?
-68, -1, -2/7, 0
Factor d**2/8 - 47*d/8 - 6.
(d - 48)*(d + 1)/8
Factor -5*b**2 - 420*b + 425.
-5*(b - 1)*(b + 85)
Suppose 270*p**4 + 7506*p**3 - 15732*p**2 + 10648*p - 2384 = 0. What is p?
-149/5, 2/3
Find h, given that -2*h**4/9 - 10*h**3/9 + 2*h**2/9 + 10*h/9 = 0.
-5, -1, 0, 1
Solve 5*f**3 + 20*f**2 - 45*f - 180 = 0.
-4, -3, 3
Solve -2*a**2 - 188*a - 4418 = 0.
-47
Factor k**5/2 - 7*k**4 + 33*k**3/2 + 56*k**2 + 32*k.
k*(k - 8)**2*(k + 1)**2/2
Factor -3*m**2 - 264*m - 5808.
-3*(m + 44)**2
Find t, given that -20*t**2 - 14456*t + 2892 = 0.
-723, 1/5
Factor 5*m**2 - 5340*m + 1425780.
5*(m - 534)**2
Solve o**2/4 - 4*o - 560 = 0 for o.
-40, 56
Solve 16*x**2/5 + 9*x/10 = 0.
-9/32, 0
What is c in 4*c**3 + 1164*c**2 - 4704*c + 4720 = 0?
-295, 2
Solve -2*s**2/11 + 5092*s/11 - 3241058/11 = 0 for s.
1273
Solve 3*l**2 - 12*l - 63 = 0.
-3, 7
Factor f**2/3 + 45*f + 134/3.
(f + 1)*(f + 134)/3
What is i in -5*i**4 - 25*i**3 - 20*i**2 = 0?
-4, -1, 0
Factor 3*u**2 - 36*u - 84.
3*(u - 14)*(u + 2)
Factor 5*y**3 + 65*y**2 - 190*y - 600.
5*(y - 4)*(y + 2)*(y + 15)
Factor 5*o**3/2 + 35*o**2 - 505*o/2 - 285.
5*(o - 6)*(o + 1)*(o + 19)/2
Find f, given that 3*f**3 - 33*f**2 + 72*f = 0.
0, 3, 8
Factor -2*t**2 - 58*t - 108.
-2*(t + 2)*(t + 27)
Solve 5*d**2 + 16485*d - 16490 = 0 for d.
-3298, 1
Suppose -3*u**4/7 - 75*u**3/7 - 306*u**2/7 - 96*u/7 + 480/7 = 0. Calculate u.
-20, -4, -2, 1
Solve -4*h**2 - 28*h - 40 = 0.
-5, -2
What is p in p**2/8 + p - 105/8 = 0?
-15, 7
Factor 5*f**2 - 100*f + 420.
5*(f - 14)*(f - 6)
Factor 2*y**4/17 - 2*y**3/17 - 2*y**2/17 + 2*y/17.
2*y*(y - 1)**2*(y + 1)/17
Find c, given that -2*c**3/7 - 11070*c**2/7 - 20424150*c/7 - 12560852250/7 = 0.
-1845
Determine a so that 105*a**5 + 95*a**4 - 380*a**3 + 180*a**2 = 0.
-18/7, 0, 2/3, 1
What is h in -3*h**3/5 - 24*h**2/5 + 99*h/5 = 0?
-11, 0, 3
Factor -u**2/2 - 3*u/2.
-u*(u + 3)/2
Determine z, given that -6*z**2 - 430*z - 284 = 0.
-71, -2/3
Solve 2*u**3/11 - 8*u**2/11 - 62*u - 672/11 = 0 for u.
-16, -1, 21
Solve -10*h**4/11 - 16*h**3/11 - 2*h**2/11 + 4*h/11 = 0.
-1, 0, 2/5
Factor -3*c**5 - 15*c**4 - 27*c**3 - 21*c**2 - 6*c.
-3*c*(c + 1)**3*(c + 2)
Suppose -3*x**5/4 - 9*x**4/2 + 93*x**3/4 + 117*x**2 - 135*x = 0. What is x?
-6, 0, 1, 5
Factor -28*r**2/13 + 554*r/13 + 120/13.
-2*(r - 20)*(14*r + 3)/13
Determine l so that 2*l**4/13 - 8*l**3/13 + 8*l**2/13 = 0.
0, 2
Factor -5*d**3 - 2855*d**2 - 414595*d - 2002225.
-5*(d + 5)*(d + 283)**2
Suppose -4*g**4 + 60*g**3 - 224*g**2 + 240*g = 0. Calculate g.
0, 2, 3, 10
Suppose 2*v**3/17 + 70*v**2/17 - 146*v/17 + 74/17 = 0. What is v?
-37, 1
Find y such that y**3 + 16*y**2 - 99*y + 126 = 0.
-21, 2, 3
Factor -4*f**3 - 44*f**2/3 - 8*f.
-4*f*(f + 3)*(3*f + 2)/3
Suppose 3*v**