**2 - 115*c + 75.
-5*(c - 5)*(c - 3)*(c - 1)
Factor 2*v**2/7 + 768*v/7 + 766/7.
2*(v + 1)*(v + 383)/7
Factor o**2/9 + 16*o/9 - 779/3.
(o - 41)*(o + 57)/9
Solve -2*c**2 + 10*c - 8 = 0.
1, 4
Find y such that -10*y**4 + 726*y**3 + 1822*y**2 - 1638*y - 900 = 0.
-3, -2/5, 1, 75
Factor -4*r**2/3 + 80*r - 2576/3.
-4*(r - 46)*(r - 14)/3
Factor -243*r**2 + 12096*r - 150528.
-3*(9*r - 224)**2
Factor 40*f**2 + 1925*f/3 + 80/3.
5*(f + 16)*(24*f + 1)/3
Suppose 5*l**5/3 - 68*l**4/3 + 9*l**3 + 152*l**2/3 + 52*l/3 = 0. What is l?
-1, -2/5, 0, 2, 13
Factor 3*x**2 - 3*x - 60.
3*(x - 5)*(x + 4)
Factor -7*q**3 + 8*q**2 + 13*q - 2.
-(q - 2)*(q + 1)*(7*q - 1)
Factor -o**4 + o**3.
-o**3*(o - 1)
Solve -5*r**4/3 + 15*r**3 - 50*r**2 + 220*r/3 - 40 = 0.
2, 3
Factor y**3/2 - 2391*y**2/2 + 714012*y + 715208.
(y - 1196)**2*(y + 1)/2
Factor -2*a**4/9 + 410*a**3/9 - 3128*a**2 + 656608*a/9 - 628864/9.
-2*(a - 68)**3*(a - 1)/9
Determine v, given that 112*v**5/3 - 8998*v**4/3 + 79654*v**3 - 681210*v**2 - 476766*v - 78732 = 0.
-3/8, -2/7, 27
Factor 2*l**4/21 + 4*l**3/7 - 2*l**2/21 - 20*l/7.
2*l*(l - 2)*(l + 3)*(l + 5)/21
Factor 2*k**2/11 + 170*k/11 + 168/11.
2*(k + 1)*(k + 84)/11
Factor -i**3/4 + 9*i**2/4 + 25*i/4 - 33/4.
-(i - 11)*(i - 1)*(i + 3)/4
Factor -2*c**4/13 - 192*c**3/13 + 588*c**2/13 - 592*c/13 + 198/13.
-2*(c - 1)**3*(c + 99)/13
Suppose f**3/3 + 22*f**2/3 + 7*f = 0. What is f?
-21, -1, 0
Factor 3*c**3 + 81*c**2/2 - 141*c/2 - 45.
3*(c - 2)*(c + 15)*(2*c + 1)/2
Find x such that 2*x**4 - 74*x**3 + 642*x**2 + 874*x - 1444 = 0.
-2, 1, 19
Factor 2*d**2 + 2500*d/3 + 1664/3.
2*(d + 416)*(3*d + 2)/3
Determine p, given that -21*p**5 - 120*p**4 - 216*p**3 - 138*p**2 - 3*p + 18 = 0.
-3, -1, 2/7
Factor 2*z**3/11 + 26*z**2/11 - 14*z - 198.
2*(z - 9)*(z + 11)**2/11
Find n, given that 32*n**4 - 16*n**3 - 110*n**2 + 100*n = 0.
-2, 0, 5/4
Factor 3*o**4 + 189*o**3 + 3228*o**2 + 7380*o - 10800.
3*(o - 1)*(o + 4)*(o + 30)**2
Factor -d**5 - 7*d**4 + 38*d**3 - 62*d**2 + 43*d - 11.
-(d - 1)**4*(d + 11)
Factor 3*m**3/2 + 45*m**2 + 450*m + 1500.
3*(m + 10)**3/2
Factor -5*t**2/3 - 35*t/3 + 490.
-5*(t - 14)*(t + 21)/3
Factor 3*g**4/5 + 186*g**3/5 + 2691*g**2/5 - 5952*g/5 + 3072/5.
3*(g - 1)**2*(g + 32)**2/5
Factor -f**2/2 + 2507*f - 6285049/2.
-(f - 2507)**2/2
Suppose 5*t**4/4 + 875*t**3/4 - 2655*t**2/4 + 2665*t/4 - 445/2 = 0. What is t?
-178, 1
Factor p**2 - 302*p + 22801.
(p - 151)**2
Find h such that 4*h**3 + 32*h**2 - 80*h = 0.
-10, 0, 2
Factor -t**3/6 - 17*t**2/6 + 88*t/3 + 32.
-(t - 8)*(t + 1)*(t + 24)/6
Let 5*r**5 - 80*r**4 + 65*r**3 + 150*r**2 = 0. What is r?
-1, 0, 2, 15
Factor -2*j**4 + 90*j**3 + 1034*j**2 + 3558*j + 3960.
-2*(j - 55)*(j + 3)**2*(j + 4)
Solve -5*m**4/2 - 35*m**3 - 305*m**2/2 - 210*m = 0 for m.
-7, -4, -3, 0
Suppose -22*t**4 + 266*t**3 - 24*t**2 = 0. Calculate t.
0, 1/11, 12
Let l**3 - 9*l**2 + 14*l = 0. Calculate l.
0, 2, 7
Factor 4*u**2/5 - 10*u + 24/5.
2*(u - 12)*(2*u - 1)/5
Let -5*w**3 + 320*w**2 - 625*w + 310 = 0. Calculate w.
1, 62
Suppose -10*n**3 - 22*n**2 - 14*n - 2 = 0. What is n?
-1, -1/5
Find h such that -3*h**4 - 1296*h**3 - 189144*h**2 - 9678720*h - 51539184 = 0.
-142, -6
Find t, given that -2*t**5/3 - 14*t**4 - 92*t**3 - 596*t**2/3 - 174*t - 54 = 0.
-9, -1
What is p in -p**2/2 - 13*p/2 + 24 = 0?
-16, 3
Factor -3*x**2 + 10*x - 3.
-(x - 3)*(3*x - 1)
Factor -y**2/5 + 49*y/5 - 94/5.
-(y - 47)*(y - 2)/5
Factor -o**3/4 - 20*o**2 - 253*o + 6348.
-(o - 12)*(o + 46)**2/4
Determine b, given that 21*b**4 + 99*b**3 + 138*b**2 + 36*b - 24 = 0.
-2, -1, 2/7
Factor i**4 + 3*i**3 + i**2 - 3*i - 2.
(i - 1)*(i + 1)**2*(i + 2)
Factor -5*r**3 - 1015*r**2 - 51000*r + 52020.
-5*(r - 1)*(r + 102)**2
Factor 3*y**3/7 + 54*y**2/7 + 99*y/7 - 1452/7.
3*(y - 4)*(y + 11)**2/7
Factor -s**4/5 + s**3 + 12*s**2/5 - 36*s/5.
-s*(s - 6)*(s - 2)*(s + 3)/5
Find r, given that -r**3/2 - 14*r**2 - 98*r = 0.
-14, 0
Find c such that -c**4/2 + 6*c**3 - 9*c**2 - 70*c + 147/2 = 0.
-3, 1, 7
Factor 3*v**4 + 45*v**3 - 438*v**2 + 576*v + 1056.
3*(v - 4)**2*(v + 1)*(v + 22)
Let -p**5/12 - 2*p**4/3 - 5*p**3/4 + 2*p**2/3 + 4*p/3 = 0. What is p?
-4, -1, 0, 1
Suppose 4*o**2 + 116*o + 216 = 0. Calculate o.
-27, -2
Solve -2*k**3/13 + 430*k**2/13 + 432*k/13 = 0.
-1, 0, 216
Factor -4*v**2 + 216*v + 220.
-4*(v - 55)*(v + 1)
Suppose -n**2/3 - 286*n/3 - 20449/3 = 0. What is n?
-143
Factor -2*j**4/9 - 14*j**3/9 - 4*j**2 - 40*j/9 - 16/9.
-2*(j + 1)*(j + 2)**3/9
Find l such that -3*l**5/2 + 6*l**3 + 3*l**2 - 9*l/2 - 3 = 0.
-1, 1, 2
What is w in -w**4 + w**3 + 17*w**2 + 15*w = 0?
-3, -1, 0, 5
Factor -2*m**3 - 162*m**2 + 672*m - 680.
-2*(m - 2)**2*(m + 85)
Find j, given that 320*j**4 + 4560*j**3 - 3540*j**2 + 895*j - 75 = 0.
-15, 1/4
Determine b so that 4*b**2 - 3596*b + 3592 = 0.
1, 898
What is o in -2*o**2/17 + 12440*o/17 - 19344200/17 = 0?
3110
Find h, given that 2*h**5/15 - 14*h**4/15 + 14*h**3/15 + 46*h**2/15 - 16*h/15 - 32/15 = 0.
-1, 1, 4
Factor -o**4/7 + o**3 - 12*o**2/7.
-o**2*(o - 4)*(o - 3)/7
Determine r, given that -2*r**5/5 - 16*r**4/5 - 6*r**3/5 + 64*r**2/5 + 56*r/5 = 0.
-7, -2, -1, 0, 2
Factor -21*q**2/5 + 36*q/5 - 3.
-3*(q - 1)*(7*q - 5)/5
Solve -g**2 - 998*g - 997 = 0.
-997, -1
Factor 5*x**3/2 - 10*x**2 - 175*x/2 + 375.
5*(x - 5)**2*(x + 6)/2
Let -2*b**5/5 + 6*b**4/5 + 44*b**3/5 - 24*b**2/5 - 144*b/5 = 0. Calculate b.
-3, -2, 0, 2, 6
Suppose -c**2/3 + 727*c/3 = 0. What is c?
0, 727
Factor 3*o**4/2 + 3*o**3/2 - 171*o**2 + 324*o.
3*o*(o - 9)*(o - 2)*(o + 12)/2
Find w such that -w**3/2 - 3*w**2/2 + 8*w + 24 = 0.
-4, -3, 4
Solve -2*d**2/11 - 14*d/11 + 16/11 = 0 for d.
-8, 1
What is b in -5*b**4 + 230*b**3 + 5*b**2 - 230*b = 0?
-1, 0, 1, 46
Factor -27*a**3/7 + 120*a**2/7 + 73*a/7 + 10/7.
-(a - 5)*(3*a + 1)*(9*a + 2)/7
Factor -2*i**4 - 2*i**3 + 34*i**2 - 30*i.
-2*i*(i - 3)*(i - 1)*(i + 5)
Factor -n**4 + 853*n**3 - 243663*n**2 + 23626255*n - 90660748.
-(n - 283)**3*(n - 4)
Determine x, given that 3*x**2 - 420*x + 1632 = 0.
4, 136
Factor 2*n**3 - 226*n**2 - 458*n - 230.
2*(n - 115)*(n + 1)**2
What is d in d**5 + 4*d**4 - 3*d**3 - 14*d**2 - 8*d = 0?
-4, -1, 0, 2
Factor -3*r**4 + 57*r**3 + 198*r**2 + 12*r - 264.
-3*(r - 22)*(r - 1)*(r + 2)**2
Determine g, given that 4*g**2/7 - 200*g/7 + 900/7 = 0.
5, 45
Let m**4/2 + 5*m**3/2 + 9*m**2/2 + 7*m/2 + 1 = 0. Calculate m.
-2, -1
What is z in -25*z**5 + 60*z**4 + 1855*z**3 + 850*z**2 - 4140*z + 1400 = 0?
-7, -2, 2/5, 1, 10
Let 5*q**2/2 + 2860*q + 5710 = 0. Calculate q.
-1142, -2
What is q in -3*q**2 - 3219*q = 0?
-1073, 0
Determine i so that -3*i**3/4 - 801*i**2/4 - 71289*i/4 - 2114907/4 = 0.
-89
Suppose 5*g**3 - 35*g**2 + 40*g + 80 = 0. Calculate g.
-1, 4
Suppose 4*j**5/3 + 16*j**4/3 - 8*j**3/3 - 16*j**2 + 12*j = 0. What is j?
-3, 0, 1
Let -2*m**3/5 - 4*m**2/5 - 2*m/5 = 0. What is m?
-1, 0
Factor 15*o**4 + 66*o**3 + 99*o**2 + 60*o + 12.
3*(o + 1)**2*(o + 2)*(5*o + 2)
Determine j so that -j**3 + 29*j**2 - 211*j + 399 = 0.
3, 7, 19
Solve -3*p**3/2 - 27*p**2 - 141*p/2 - 45 = 0.
-15, -2, -1
Factor -t**3 - 7*t**2 + 18*t.
-t*(t - 2)*(t + 9)
Determine c, given that 2*c**5 + 16*c**4 - 6*c**3 - 44*c**2 + 32*c = 0.
-8, -2, 0, 1
Factor -2*k**3/3 - 16*k**2/3 + 8*k/3 + 64/3.
-2*(k - 2)*(k + 2)*(k + 8)/3
Factor g**3 + 58*g**2 + 841*g.
g*(g + 29)**2
Factor 3*u**2/5 - 24*u/5 - 12.
3*(u - 10)*(u + 2)/5
Factor l**3/3 + 56*l**2/3 + 545*l/3 - 602/3.
(l - 1)*(l + 14)*(l + 43)/3
Let -22*v**5 + 43*v**4 + 24*v**3 - 43*v**2 - 2*v = 0. What is v?
-1, -1/22, 0, 1, 2
Factor -3*n**3 + 44*n**2 + 64*n.
-n*(n - 16)*(3*n + 4)
Suppose 4*y**4 + 196*y**3 = 0. What is y?
-49, 0
Factor 184*m**4 + 150*m**3 - 37*m**2 - 3*m.
m*(m + 1)*(4*m - 1)*(46*m + 3)
Determine c so that 2*c**4 - 6*c**3 - 24*c**2 + 40*c + 96 = 0.
-2, 3, 4
Factor -i**4/8 + 19*i**3/8 - 57*i**2/4 + 28*i - 16.
-(i - 8)**2*(i - 2)*(i - 1)/8
Find t such that -5*t**3 - 195*t**2 + 210*t + 400 = 0.
-40, -1, 2
Determine o so that -111*o**3 + 327*o**2 + 2016*o + 108 = 0.
-3, -2/37, 6
Find w such that 2*w**3/7 - 2*w**2 - 20*w/7 + 32/7 = 0.
-2, 1, 8
Determine w so that w**5/4 - w**4/4 - 5*w**3/4 + 5*w**2/4 + w - 1 = 0.
-2, -1, 1, 2
Find v, given that 3*v**4 - 39*v**3 + 144*v**2 - 108*v = 0.
0, 1, 6
What is k in -4*k**2 + 160*k - 1584 = 0?
18, 22
Factor -2*v**2/3 + 152*v/3 - 610.
-2*(v - 61)*(v - 15)/3
Factor 2*u**3/9 + 838*u**2/9 + 1658*u/3 + 826.
2