 = 0?
0, 2
Factor -4*f**4/3 - 100*f**3/3 - 184*f**2/3.
-4*f**2*(f + 2)*(f + 23)/3
Factor 2*c**2 - 60*c + 58.
2*(c - 29)*(c - 1)
Factor b**2 + 115*b + 114.
(b + 1)*(b + 114)
Solve 3*k**3 + 36*k**2 = 0 for k.
-12, 0
Find z such that 3*z**3 - 2763*z**2 + 5517*z - 2757 = 0.
1, 919
Suppose -j**3/2 - j**2 + 8*j + 16 = 0. Calculate j.
-4, -2, 4
Factor 2*j**5 + 52*j**4 + 368*j**3 - 160*j**2 - 5600*j + 8000.
2*(j - 2)**2*(j + 10)**3
What is q in -2*q**5/13 - 30*q**4/13 - 42*q**3/13 + 1078*q**2/13 + 4116*q/13 = 0?
-7, 0, 6
Find y such that -5*y**2 + 125*y - 420 = 0.
4, 21
Let -2*d**4 - 64*d**3/7 - 88*d**2/7 - 32*d/7 = 0. What is d?
-2, -4/7, 0
What is w in -2*w**3 - 534*w**2 - 1060*w = 0?
-265, -2, 0
Factor -5*r**3 - 1645*r**2 + 3305*r - 1655.
-5*(r - 1)**2*(r + 331)
Solve -b**4/2 + 8*b**3 - 15*b**2/2 = 0.
0, 1, 15
Factor -4*f**3 - 836*f**2 - 4844*f + 5684.
-4*(f - 1)*(f + 7)*(f + 203)
Determine f so that 14*f**5 - 696*f**4 + 9208*f**3 - 13440*f**2 - 4608*f = 0.
-2/7, 0, 2, 24
Factor 2*a**2 + 240*a + 472.
2*(a + 2)*(a + 118)
Factor 19*m**5/2 + m**4.
m**4*(19*m + 2)/2
Let -z**2/8 - 25*z/8 + 13/4 = 0. What is z?
-26, 1
Find g, given that -2*g**3/3 - 28*g**2/3 + 10*g = 0.
-15, 0, 1
Factor -4*f**4 - 24*f**3 + 300*f**2 + 1216*f - 5376.
-4*(f - 7)*(f - 3)*(f + 8)**2
Factor -25*m**3 - 665*m**2 + 1720*m - 580.
-5*(m - 2)*(m + 29)*(5*m - 2)
Find y such that -3*y**2 + 798*y - 3144 = 0.
4, 262
Find u, given that 16*u**5 + 132*u**4 + 320*u**3 + 328*u**2 + 144*u + 20 = 0.
-5, -1, -1/4
Factor 4*b**3 - 148*b**2 - 152*b.
4*b*(b - 38)*(b + 1)
Suppose 4*j**5 - 56*j**4 + 124*j**3 + 568*j**2 - 128*j - 512 = 0. What is j?
-2, -1, 1, 8
Let 4*n**4 - 112*n**3 + 960*n**2 - 2304*n = 0. Calculate n.
0, 4, 12
Determine f, given that -4*f**2/3 + 520*f/3 - 16900/3 = 0.
65
Factor 28*o**3 - 8*o**2 - 252*o + 72.
4*(o - 3)*(o + 3)*(7*o - 2)
Let 2*n**3 - 62*n - 60 = 0. What is n?
-5, -1, 6
Suppose p**2/3 - 13*p/3 - 66 = 0. What is p?
-9, 22
What is b in b**3/2 + 65*b**2/2 + 499*b - 532 = 0?
-38, -28, 1
Factor -g**3/4 + 3*g**2/2 + 45*g + 162.
-(g - 18)*(g + 6)**2/4
Suppose -2*d**5 - 498*d**4 + 506*d**3 + 1498*d**2 - 504*d - 1000 = 0. Calculate d.
-250, -1, 1, 2
Factor 21*u**3/5 + 333*u**2/5 + 1656*u/5 + 528.
3*(u + 4)**2*(7*u + 55)/5
Factor 4*s**3 - 24*s**2 + 48*s - 32.
4*(s - 2)**3
Factor -2*q**4 + 2*q**3 + 32*q**2 - 32*q.
-2*q*(q - 4)*(q - 1)*(q + 4)
Let 3*n**4 + 927*n**3 + 71139*n**2 - 73935*n - 144150 = 0. What is n?
-155, -1, 2
Factor j**4/3 + 16*j**3/3 + 77*j**2/3 + 110*j/3 + 16.
(j + 1)**2*(j + 6)*(j + 8)/3
Factor 3*v**4 - 3162*v**3 - 9504*v**2 - 9510*v - 3171.
3*(v - 1057)*(v + 1)**3
Suppose 324*n**2 + 1008*n + 784 = 0. What is n?
-14/9
Suppose -3*x**5 - 93*x**4 - 90*x**3 = 0. Calculate x.
-30, -1, 0
Factor -j**3/7 - j**2 - 15*j/7 - 9/7.
-(j + 1)*(j + 3)**2/7
Suppose -5*n**5 - 1020*n**4 + 2075*n**3 + 3090*n**2 = 0. Calculate n.
-206, -1, 0, 3
Factor -5*c**3 + 45*c**2 - 40*c.
-5*c*(c - 8)*(c - 1)
Factor -g**2/6 + 26*g/3 - 17/2.
-(g - 51)*(g - 1)/6
Find p, given that -3*p**3 - 90*p**2 - 243*p = 0.
-27, -3, 0
Factor -r**2/3 + 78*r + 235/3.
-(r - 235)*(r + 1)/3
Suppose c**3 - 1985*c**2 + 984063*c + 986049 = 0. What is c?
-1, 993
Factor -q**4/5 + 5*q**3 - 168*q**2/5 + 144*q/5.
-q*(q - 12)**2*(q - 1)/5
What is u in 5*u**4 - 155*u**3 + 295*u**2 - 145*u = 0?
0, 1, 29
Factor 5*l**4 - 4000*l**3 + 775640*l**2 + 9744000*l + 29670480.
5*(l - 406)**2*(l + 6)**2
Factor -u**3/3 + 16*u**2/3 - 13*u.
-u*(u - 13)*(u - 3)/3
Determine y, given that -21*y**5 + 153*y**4 - 336*y**3 + 252*y**2 - 48*y = 0.
0, 2/7, 1, 2, 4
Factor 5*l**2 - 220*l + 420.
5*(l - 42)*(l - 2)
Factor c**3/6 + 11*c**2/2.
c**2*(c + 33)/6
Find v, given that -2*v**2 - 2*v + 4 = 0.
-2, 1
Factor -c**2/2 - 42*c - 882.
-(c + 42)**2/2
Factor 2*q**2/5 + 30*q - 152/5.
2*(q - 1)*(q + 76)/5
Factor -z**2/2 - 433*z - 187489/2.
-(z + 433)**2/2
Let 21*i**3/4 - 519*i**2/4 - 75*i/2 = 0. Calculate i.
-2/7, 0, 25
Let -5*c**3 + 120*c**2 + 260*c = 0. What is c?
-2, 0, 26
Factor 4*a**3 + 28*a**2 + 40*a.
4*a*(a + 2)*(a + 5)
Solve n**2 - 20*n - 21 = 0 for n.
-1, 21
Solve -2*d**5 - 6*d**4 + 4*d**3 + 12*d**2 - 2*d - 6 = 0.
-3, -1, 1
Factor -3*o**3/4 + 33*o**2/4 + 3*o/4 - 33/4.
-3*(o - 11)*(o - 1)*(o + 1)/4
Determine g so that 3*g**3/2 + 39*g**2 + 147*g/2 + 36 = 0.
-24, -1
Suppose 3*i**3 + 1986*i**2 + 1983*i = 0. Calculate i.
-661, -1, 0
Let -v**2/10 + 23*v/2 - 428/5 = 0. Calculate v.
8, 107
Solve 27*w**5 + 207*w**4 + 534*w**3 + 534*w**2 + 207*w + 27 = 0 for w.
-3, -1, -1/3
Factor -5*k**2 + 13190*k - 8698805.
-5*(k - 1319)**2
Factor -c**4 + 4*c**3 + 12*c**2.
-c**2*(c - 6)*(c + 2)
Suppose 5*h**2 - 30*h + 25 = 0. Calculate h.
1, 5
Factor -f**3 + 13*f**2 - 40*f + 36.
-(f - 9)*(f - 2)**2
Find g, given that -4*g**5/3 + 29*g**4/3 - 43*g**3/3 - 19*g**2/3 + 47*g/3 - 10/3 = 0.
-1, 1/4, 1, 2, 5
Let 21*a**3 + 81*a**2 + 99*a + 39 = 0. Calculate a.
-13/7, -1
Suppose 42*o**5 + 122*o**4 + 38*o**3 - 98*o**2 - 32*o + 24 = 0. Calculate o.
-2, -1, 3/7, 2/3
Factor 2*p**3 - 390*p**2 + 2278*p - 1890.
2*(p - 189)*(p - 5)*(p - 1)
Factor l**5 - 5*l**4 - l**3 + 5*l**2.
l**2*(l - 5)*(l - 1)*(l + 1)
Factor 3*g**5 + 24*g**4 + 51*g**3 + 30*g**2.
3*g**2*(g + 1)*(g + 2)*(g + 5)
What is o in o**2 - 70*o = 0?
0, 70
Let -2*h**4 - 40*h**3/3 - 164*h**2/9 - 8*h - 10/9 = 0. What is h?
-5, -1, -1/3
Factor 40*r**3 + 84*r**2 - 40*r.
4*r*(2*r + 5)*(5*r - 2)
Solve 2*d**2/7 - 30*d/7 + 16 = 0.
7, 8
Suppose 2*w**3 - 80*w**2 + 874*w - 1444 = 0. Calculate w.
2, 19
Determine r, given that 4*r**2 + 40*r + 36 = 0.
-9, -1
Factor 2*r**2 + 499*r/5 - 10.
(r + 50)*(10*r - 1)/5
Solve -v**4/5 - 27*v**3/5 - 264*v**2/5 - 1088*v/5 - 1536/5 = 0 for v.
-8, -3
Suppose i**3/2 - 119*i**2/2 - 1813*i/2 - 6517/2 = 0. Calculate i.
-7, 133
Factor n**4/8 - n**3 - 37*n**2/8 + 11*n/2.
n*(n - 11)*(n - 1)*(n + 4)/8
Factor -4*q**4 + 16*q**3 - 8*q**2 - 16*q + 12.
-4*(q - 3)*(q - 1)**2*(q + 1)
Determine y, given that 2*y**3 + 924*y**2/13 + 7992*y/13 - 3888/13 = 0.
-18, 6/13
What is d in 3*d**2/4 + 5259*d + 9219027 = 0?
-3506
Factor -g**5 + 39*g**4 - 179*g**3 + 313*g**2 - 240*g + 68.
-(g - 34)*(g - 2)*(g - 1)**3
Factor 3*c**3 + 165*c**2 - 174*c - 336.
3*(c - 2)*(c + 1)*(c + 56)
Find w, given that -w**2/4 - 351*w - 123201 = 0.
-702
Factor -2*q**3/15 - 2*q**2/15 + 6*q/5 + 6/5.
-2*(q - 3)*(q + 1)*(q + 3)/15
Let -2*c**4/3 - 28*c**3/3 - 112*c**2/3 - 128*c/3 = 0. Calculate c.
-8, -4, -2, 0
Determine l so that -10*l**2 + 31326*l + 12532 = 0.
-2/5, 3133
Find h, given that 3*h**2 - 372*h = 0.
0, 124
Solve -3*t**2/8 - 15*t/4 + 3393/8 = 0.
-39, 29
Solve -g**4/3 - g**3 + 14*g**2/3 + 16*g + 32/3 = 0 for g.
-4, -2, -1, 4
Factor -2*l**3/9 + 2*l**2/3 + 2*l - 6.
-2*(l - 3)**2*(l + 3)/9
Solve -3*l**4/7 - 135*l**3/7 - 255*l**2/7 + 135*l/7 + 258/7 = 0.
-43, -2, -1, 1
Suppose -2*r**2/13 + 4916*r/13 - 3020882/13 = 0. Calculate r.
1229
Factor 14*v**2/19 + 634*v/19 + 180/19.
2*(v + 45)*(7*v + 2)/19
Factor -2*i**4 + 16*i**3 - 2*i**2 - 84*i.
-2*i*(i - 7)*(i - 3)*(i + 2)
Factor -2*l**2/13 - 76*l/13 - 722/13.
-2*(l + 19)**2/13
Find d such that -d**2/4 - 7*d/2 = 0.
-14, 0
What is a in -2*a**3/9 + 76*a**2/9 - 658*a/9 - 736/9 = 0?
-1, 16, 23
Let 2*f**4/3 + 8*f**3/3 - 34*f**2 - 332*f/3 - 224/3 = 0. What is f?
-8, -2, -1, 7
Find o such that 2*o**3/5 + 14*o**2/5 = 0.
-7, 0
Factor 8*u**3 + 137*u**2/3 + 72*u + 21.
(u + 3)*(3*u + 7)*(8*u + 3)/3
Factor 9801*b**3 + 9405*b**2 - 392*b + 4.
(b + 1)*(99*b - 2)**2
Factor -21*u**3 + 78*u**2 - 39*u - 18.
-3*(u - 3)*(u - 1)*(7*u + 2)
Factor g**3/2 + 11*g**2 - g/2 - 11.
(g - 1)*(g + 1)*(g + 22)/2
Find f such that -3*f**2/5 - 246*f - 25215 = 0.
-205
Factor 3*x**4 - 15*x**3 + 24*x**2 - 12*x.
3*x*(x - 2)**2*(x - 1)
What is w in w**5/8 + 137*w**4/8 - 281*w**3/8 - 413*w**2/8 + 70*w + 139/2 = 0?
-139, -1, 2
Determine x, given that -40*x**3 + 204*x**2 - 152*x - 96 = 0.
-2/5, 3/2, 4
Factor 20*p**3 - 4008*p**2 + 3988*p.
4*p*(p - 1)*(5*p - 997)
Find u such that -2*u**4/5 + 66*u**3/5 - 118*u**2/5 - 186*u/5 = 0.
-1, 0, 3, 31
Solve j**5/2 - 8*j**4 - 36*j**3 + 243*j**2 + 2727*j/2 + 1701 = 0.
-3, 7, 18
Let 5*r**2 - 21270*r + 22620645 = 0. What is r?
2127
What is y in y**3 - 733*y**2/4 + 1631*y/4 - 181/2 = 0?
1/4, 2, 181
Find n such that 2*n**2/7 + 58*n/7 - 60/7 = 0.
-30, 1
Factor 2*p**5 - 28*p**4 + 90*p**3 + 112*p**2 - 392*p.
2*p*(p - 7)**2*(p - 