-c**4/3 + c**3 + c**2/3 - c = 0.
-1, 0, 1, 3
Suppose -f**3 + 37*f**2 - 132*f = 0. Calculate f.
0, 4, 33
Let -3*b**2/5 + 1794*b/5 - 268203/5 = 0. Calculate b.
299
Suppose -3*h**5 - 30*h**4 - 27*h**3 + 324*h**2 + 324*h = 0. What is h?
-6, -1, 0, 3
Factor -5*n**3/2 + 35*n**2/2 + 70*n + 50.
-5*(n - 10)*(n + 1)*(n + 2)/2
Factor 3*c**4/2 - 123*c**3 + 1050*c**2 + 67500*c.
3*c*(c - 50)**2*(c + 18)/2
Solve -2*m**2/3 - 1472*m/3 - 270848/3 = 0.
-368
What is r in -r**4 + 142*r**3 + r**2 - 142*r = 0?
-1, 0, 1, 142
Determine r, given that -2*r**2 + 256*r + 1056 = 0.
-4, 132
Let -f**2/2 + 2993*f - 8958049/2 = 0. What is f?
2993
Determine j, given that -45*j**5 + 35*j**4 + 145*j**3 - 195*j**2 + 40*j + 20 = 0.
-2, -2/9, 1
Solve 60*c**4/7 + 96*c**3/7 + 51*c**2/7 + 9*c/7 = 0 for c.
-3/5, -1/2, 0
Factor 4*l**2/5 + 1144*l/5 + 228.
4*(l + 1)*(l + 285)/5
Factor 3*t**3/2 - 73*t**2/2 + 11*t + 24.
(t - 24)*(t - 1)*(3*t + 2)/2
What is i in -3*i**2/4 - 195*i - 777/4 = 0?
-259, -1
Find w such that -w**5/5 - 3*w**4/5 + 21*w**3/5 + 83*w**2/5 + 12*w = 0.
-4, -3, -1, 0, 5
Solve -62*s**4 + 190*s**3 + 546*s**2 - 1710*s + 108 = 0.
-3, 2/31, 3
Factor -2*d**3/11 - 18*d**2/11 + 168*d/11 + 832/11.
-2*(d - 8)*(d + 4)*(d + 13)/11
Determine o so that 3*o**5/8 - 3*o**4/2 - 39*o**3/8 + 3*o**2/2 + 9*o/2 = 0.
-2, -1, 0, 1, 6
Factor -2*h**2 + 36*h - 112.
-2*(h - 14)*(h - 4)
Determine k so that -12*k**4 - 21*k**3 + 186*k**2 - 45*k = 0.
-5, 0, 1/4, 3
Let -4*t**5/3 + 272*t**4/3 - 4612*t**3/3 - 808*t**2/3 + 13328*t/3 + 9248/3 = 0. What is t?
-1, 2, 34
Determine y so that -4*y**2 - 576*y - 5852 = 0.
-133, -11
Factor -q**2/2 + 9*q - 17/2.
-(q - 17)*(q - 1)/2
Factor -2*v**2/15 - 4*v/5 - 2/3.
-2*(v + 1)*(v + 5)/15
Let -3*w**5/2 - 2*w**4 + 47*w**3/2 + 32*w**2 + 8*w = 0. Calculate w.
-4, -1, -1/3, 0, 4
Solve -2*q**4/5 - 4*q**3 - 56*q**2/5 - 48*q/5 = 0.
-6, -2, 0
Factor -y**4 + 6*y**3 - 9*y**2 + 4*y.
-y*(y - 4)*(y - 1)**2
Factor 5*r**4 + 115*r**3.
5*r**3*(r + 23)
What is n in -2*n**3 + 20*n**2 - 46*n + 28 = 0?
1, 2, 7
Factor -d**3 - 6*d**2 + 96*d - 224.
-(d - 4)**2*(d + 14)
Suppose -14*g**3 - 358*g**2 - 516*g + 288 = 0. What is g?
-24, -2, 3/7
Factor -o**3/5 + 37*o**2/5 - 391*o/5 + 867/5.
-(o - 17)**2*(o - 3)/5
Let 10*d**3/3 - 706*d**2/3 + 12670*d/3 - 2450 = 0. What is d?
3/5, 35
Solve -j**3 + 142*j**2 - 281*j + 140 = 0 for j.
1, 140
Determine u so that -u**3 - 5*u**2 + 28*u + 32 = 0.
-8, -1, 4
Factor 3*q**3 + 78*q**2 + 75*q.
3*q*(q + 1)*(q + 25)
Find a, given that 5*a**5 - 5*a**4 - 130*a**3 + 130*a**2 + 125*a - 125 = 0.
-5, -1, 1, 5
Factor -i**4/3 - 37*i**3/3 - 171*i**2 - 1053*i - 2430.
-(i + 9)**3*(i + 10)/3
Let -l**2/2 - 375*l = 0. Calculate l.
-750, 0
Determine o, given that 2*o**5/5 - 62*o**3/5 + 212*o**2/5 - 264*o/5 + 112/5 = 0.
-7, 1, 2
Factor 14*l**3/3 - 148*l**2/3 - 320*l/3 + 4864/3.
2*(l - 8)**2*(7*l + 38)/3
Factor 2*r**2/3 + 2*r - 72.
2*(r - 9)*(r + 12)/3
Factor -4*g**4/3 + 8*g**3 + 12*g**2 - 56*g/3.
-4*g*(g - 7)*(g - 1)*(g + 2)/3
Solve o**2/3 - 46*o/3 + 529/3 = 0.
23
Factor 2*w**5/7 + 4*w**4/7 + 2*w**3/7.
2*w**3*(w + 1)**2/7
What is l in l**2/6 + 5*l + 75/2 = 0?
-15
Suppose -4*q**2 - 2472*q - 4928 = 0. Calculate q.
-616, -2
What is j in -4*j**3 - 140*j**2 - 508*j - 372 = 0?
-31, -3, -1
Factor -2*g**2 - 11884*g - 17653682.
-2*(g + 2971)**2
Factor 4*d**2/3 - 20*d/3 + 8.
4*(d - 3)*(d - 2)/3
Suppose 4*y**5 + 12*y**4 - 96*y**3 + 112*y**2 = 0. Calculate y.
-7, 0, 2
Let 25*h**5 - 105*h**4 + 135*h**3 - 55*h**2 = 0. What is h?
0, 1, 11/5
Factor -4*o**2 - 3184*o.
-4*o*(o + 796)
Find r such that -30*r**4 - 208*r**3 + 44*r**2 + 208*r - 14 = 0.
-7, -1, 1/15, 1
What is o in 15*o**2 - 140*o - 100 = 0?
-2/3, 10
Factor 2*x**5 - 8*x**4 + 2*x**3 + 12*x**2.
2*x**2*(x - 3)*(x - 2)*(x + 1)
Factor -v**4/7 + 40*v**3/7 + 48*v**2/7 - 1280*v - 7168.
-(v - 28)**2*(v + 8)**2/7
Find i, given that 2*i**4 + 22*i**3 - 24*i**2 = 0.
-12, 0, 1
Solve i**2/5 + 19*i/5 + 18/5 = 0 for i.
-18, -1
Solve 5*d**2 - 1940*d + 188180 = 0.
194
Factor -o**4/4 + o**3 - o**2.
-o**2*(o - 2)**2/4
Find i such that 27*i**5 - 549*i**4 + 669*i**3 + 321*i**2 - 696*i + 228 = 0.
-1, 2/3, 1, 19
Suppose -a**4/11 - 310*a**3/11 - 2212*a**2 - 4312*a = 0. What is a?
-154, -2, 0
Factor -177*y**2 - 183*y - 6.
-3*(y + 1)*(59*y + 2)
Determine y, given that 4*y**4/3 - 3*y**3 + 2*y**2 - y/3 = 0.
0, 1/4, 1
Let 5*p**3 - 65*p**2 + 115*p - 55 = 0. What is p?
1, 11
Determine h, given that 2*h**5 + 6*h**4 = 0.
-3, 0
Factor -5*v**2 + 440*v + 3325.
-5*(v - 95)*(v + 7)
Factor b**3/12 + 7*b**2/4 - 21*b/2 + 26/3.
(b - 4)*(b - 1)*(b + 26)/12
Solve 10*k**2/7 + 124*k/7 - 78/7 = 0.
-13, 3/5
Factor 12*c**2 - 86*c/7 + 2/7.
2*(c - 1)*(42*c - 1)/7
Let 2*n**3 + 54*n**2 = 0. What is n?
-27, 0
Factor s**2 - 22*s.
s*(s - 22)
Find y such that 3*y**4 - 18*y**3 + 9*y**2 + 30*y = 0.
-1, 0, 2, 5
Factor 50*q**2 - 688*q - 168.
2*(q - 14)*(25*q + 6)
Let 2*h**2/3 + 50*h/3 + 200/3 = 0. Calculate h.
-20, -5
Factor -2*h**3/13 + 16*h**2/13 - 2*h + 12/13.
-2*(h - 6)*(h - 1)**2/13
Factor 5*m**4 + 335*m**3 - 1420*m**2.
5*m**2*(m - 4)*(m + 71)
Factor 2*n**4/9 + 32*n**3/3 - 100*n**2/3 + 304*n/9 - 34/3.
2*(n - 1)**3*(n + 51)/9
Find q, given that 2*q**2/11 - 19160*q/11 + 45888200/11 = 0.
4790
Suppose -4*i**4 + 16*i**3 - 12*i**2 - 16*i + 16 = 0. Calculate i.
-1, 1, 2
Factor -5*c**2 + 340*c - 335.
-5*(c - 67)*(c - 1)
Factor 36*z**4 - 2800*z**3 + 54132*z**2 + 12168*z.
4*z*(z - 39)**2*(9*z + 2)
Factor 5*v**4 + 195*v**3 + 2310*v**2 + 6080*v - 23040.
5*(v - 2)*(v + 9)*(v + 16)**2
Find r such that -4*r**3/9 - 38*r**2/9 + 100*r/3 - 50 = 0.
-15, 5/2, 3
Factor -6*a**3 - 1750*a**2 - 1164*a.
-2*a*(a + 291)*(3*a + 2)
Factor -2*m**3 + 20*m**2 - 48*m.
-2*m*(m - 6)*(m - 4)
Factor d**2 - 142*d + 5041.
(d - 71)**2
Solve -3*o**5/7 + 36*o**4/7 - 81*o**3/7 - 12*o**2/7 + 108*o/7 = 0.
-1, 0, 2, 9
Find j such that -3*j**2/7 - 6*j + 96/7 = 0.
-16, 2
Solve -35*a**5 + 115*a**4 - 30*a**3 - 140*a**2 + 40*a = 0 for a.
-1, 0, 2/7, 2
Solve -2*v**5/7 + 82*v**4/7 - 796*v**3/7 - 964*v**2/7 + 114*v + 126 = 0.
-1, 1, 21
Determine i, given that i**4 - 269*i**3 + 24297*i**2 - 752495*i + 1409938 = 0.
2, 89
Let -5*f**3/4 - 90*f**2 - 6105*f/4 + 6845/2 = 0. What is f?
-37, 2
What is j in 6*j**5 + 7*j**4 - 58*j**3 + 47*j**2 + 22*j - 24 = 0?
-4, -2/3, 1, 3/2
Let 3*u**3 + 123*u**2 + 348*u + 228 = 0. What is u?
-38, -2, -1
Factor 4*l**5 + 20*l**4 + 36*l**3 + 28*l**2 + 8*l.
4*l*(l + 1)**3*(l + 2)
Find r such that 130*r**5 + 13202*r**4 - 33020*r**3 + 5528*r**2 + 12496*r + 1664 = 0.
-104, -2/5, -2/13, 1, 2
Factor 25*i**3 - 640*i**2 + 1695*i.
5*i*(i - 3)*(5*i - 113)
What is l in l**2/2 + 23*l/2 + 45 = 0?
-18, -5
Factor 5*f**2 - 1385*f + 4110.
5*(f - 274)*(f - 3)
Factor -h**2 + 18*h + 1144.
-(h - 44)*(h + 26)
Solve -62*v**4 + 488*v**3 - 1238*v**2 + 948*v + 144 = 0.
-4/31, 2, 3
Factor w**4 - 10*w**3 + 16*w**2.
w**2*(w - 8)*(w - 2)
Factor -i**2 + 89*i - 88.
-(i - 88)*(i - 1)
Find q, given that 3*q**5 - 56*q**4 + 35*q**3 + 18*q**2 = 0.
-1/3, 0, 1, 18
Factor -10*p**2/3 - 98*p - 116/3.
-2*(p + 29)*(5*p + 2)/3
Factor 2*c**2/9 - 70*c/9 - 1012/9.
2*(c - 46)*(c + 11)/9
Solve 2*k**5/9 - 22*k**4/9 + 20*k**3/3 + 64*k**2/9 - 320*k/9 = 0 for k.
-2, 0, 4, 5
What is s in 4*s**3/5 + 1208*s**2/5 - 2428*s/5 + 1216/5 = 0?
-304, 1
Factor -4*q**3 - 19528*q**2 - 23833924*q.
-4*q*(q + 2441)**2
Let -u**5/10 + 72*u**4/5 - 57*u**3/2 + 71*u**2/5 = 0. What is u?
0, 1, 142
Solve 4*z**2 - 88*z + 420 = 0 for z.
7, 15
Determine n, given that -n**5/4 - 2*n**4 - 6*n**3 - 8*n**2 - 4*n = 0.
-2, 0
Solve -5*x**2 + 180 = 0 for x.
-6, 6
Determine x, given that -156*x**3 - 320*x**2 - 172*x - 8 = 0.
-1, -2/39
Let n**2/2 - 51*n/2 + 25 = 0. What is n?
1, 50
Determine d so that d**4 + 733*d**3/3 - 1228*d**2/3 + 164*d = 0.
-246, 0, 2/3, 1
Factor -2*t**4 - 6*t**3 - 6*t**2 - 2*t.
-2*t*(t + 1)**3
Factor j**5/2 + 38*j**4 + 1869*j**3/2 + 6643*j**2 - 20618*j - 26364.
(j - 3)*(j + 1)*(j + 26)**3/2
Factor 4*q**4 + 100*q**3 + 592*q**2 + 816*q.
4*q*(q + 2)*(q + 6)*(q + 17)
Let 4*u**2 + 8*u + 4 = 0. Calculate u.
-1
Let -38*f**2/13 - 26*f + 36/13 = 0. What is f?
-9, 2/19
Determine b, given that -20*b**3 - 41*b**2 + 58*b + 3 = 0.
-3, -1/20, 1
Solve -21*m**4 - 18*m**3 + 3*m**2 = 0 for m.
-1, 0, 1/7
Factor 2*c**2/11 + 126*c/11 - 128/11.
2*(c - 1)*(c + 64)/11
Factor 6*k**2/5 + 2268*k/5.
6*k*(k + 378)/5
Factor -m