5, 1, 4, 5
Suppose -3*j**5/2 - j**4 + 21*j**3/2 - 2*j**2 - 6*j = 0. Calculate j.
-3, -2/3, 0, 1, 2
Factor u**2/8 - 7*u/8 + 3/4.
(u - 6)*(u - 1)/8
Find d, given that 9*d**5/7 - 102*d**4/7 + 249*d**3/7 + 36*d**2 - 108*d/7 = 0.
-1, 0, 1/3, 6
What is q in -q**5 + 27*q**4 + 65*q**3 - 207*q**2 + 116*q = 0?
-4, 0, 1, 29
Find a such that -7*a**5/4 + 61*a**4/4 - 129*a**3/4 + 91*a**2/4 - a - 3 = 0.
-2/7, 1, 6
Suppose 5*g**2 + 5750*g - 5755 = 0. Calculate g.
-1151, 1
Suppose -2*c**4 - 152*c**3/3 - 862*c**2/3 - 172*c/3 + 544/3 = 0. What is c?
-17, -8, -1, 2/3
Find y, given that -5*y**3 - 5*y**2 + 10*y = 0.
-2, 0, 1
Suppose -3*s**5 + 95*s**4 - 319*s**3 + 309*s**2 - 26*s - 56 = 0. What is s?
-1/3, 1, 2, 28
Find a such that 4*a**4 - 32*a**3 - 112*a**2 + 320*a = 0.
-4, 0, 2, 10
Factor d**4 + 2*d**3 - d**2 - 2*d.
d*(d - 1)*(d + 1)*(d + 2)
Factor b**3/5 + 126*b**2/5.
b**2*(b + 126)/5
Factor 2*k**2/13 + 20*k/13 + 50/13.
2*(k + 5)**2/13
Find y such that y**3/5 - 18*y**2/5 + 21*y - 196/5 = 0.
4, 7
Solve -68*x**3/13 - 674*x**2/13 - 1640*x/13 + 150/13 = 0.
-5, 3/34
Find z, given that -4*z**2 - 36*z - 72 = 0.
-6, -3
Factor 2*s**3/7 + 4*s**2 + 46*s/7 - 220/7.
2*(s - 2)*(s + 5)*(s + 11)/7
Solve -3*n**5 + 3036*n**4 - 1152162*n**3 + 194331324*n**2 - 12291456243*n = 0 for n.
0, 253
Suppose -h**2/3 - 14*h/3 = 0. Calculate h.
-14, 0
Factor -2*c**2/5 - 8*c/5 - 6/5.
-2*(c + 1)*(c + 3)/5
Let 20*m**3 - 456*m**2 - 80*m + 1824 = 0. What is m?
-2, 2, 114/5
Let j**3 + 18*j**2 + 29*j - 48 = 0. What is j?
-16, -3, 1
Factor 2*z**2/13 + 9964*z/13 + 12410162/13.
2*(z + 2491)**2/13
Suppose 5*y**4 + 24450*y**3 + 29841185*y**2 - 119658300*y + 119756180 = 0. Calculate y.
-2447, 2
Suppose -5*v**2 - 460*v + 465 = 0. Calculate v.
-93, 1
Factor 3*q**4/4 + 9*q**3/2 - 81*q/2 - 243/4.
3*(q - 3)*(q + 3)**3/4
Suppose -49*t**5/8 + 35*t**4/8 + 321*t**3/8 + 157*t**2/8 - 34*t - 24 = 0. Calculate t.
-8/7, -1, 1, 3
Let -3*v**5 - 87*v**4 + 1008*v**3 + 32832*v**2 = 0. Calculate v.
-24, 0, 19
Solve -746*g**4 - 8946*g**3 - 26784*g**2 + 216*g = 0 for g.
-6, 0, 3/373
Factor -5*j**3/4 - 3849*j**2/4 - 740355*j/4 + 148225/4.
-(j + 385)**2*(5*j - 1)/4
Factor -2*v**3/3 - 56*v**2/3 - 24*v + 1728.
-2*(v - 8)*(v + 18)**2/3
Factor -z**2 + 89*z + 90.
-(z - 90)*(z + 1)
Factor h**5/6 + 2*h**4/3 + h**3/2 - 2*h**2/3 - 2*h/3.
h*(h - 1)*(h + 1)*(h + 2)**2/6
Factor -2*c**3 + 52*c**2 - 210*c - 1800.
-2*(c - 15)**2*(c + 4)
Find p such that -3*p**4/5 - 36*p**3/5 - 108*p**2/5 + 96*p/5 + 576/5 = 0.
-6, -4, 2
Let -7*y**3/6 - 5*y**2/3 + y/6 + 2/3 = 0. What is y?
-1, 4/7
Suppose 31*z**5/5 - 74*z**4 - 1853*z**3/5 - 2536*z**2/5 - 1148*z/5 - 64/5 = 0. Calculate z.
-2, -1, -2/31, 16
Factor -o**4/3 + o**3/3 + o**2 - 5*o/3 + 2/3.
-(o - 1)**3*(o + 2)/3
Find c such that -35*c**4/3 + 10*c**3 + 245*c**2/3 - 140*c + 60 = 0.
-3, 6/7, 1, 2
Solve -5*d**4/2 - 47*d**3 + 349*d**2/2 - 33*d = 0.
-22, 0, 1/5, 3
Factor 2*j**3 + 12204*j**2 + 24822936*j + 16829950608.
2*(j + 2034)**3
Factor -2*z**5/3 - 34*z**4/3 - 60*z**3 - 72*z**2 + 144*z.
-2*z*(z - 1)*(z + 6)**3/3
Factor 2*g**2 - 7084*g.
2*g*(g - 3542)
Let 2*s**2/7 + 170*s/7 + 1628/7 = 0. Calculate s.
-74, -11
Solve 3*g**3 + 501*g**2 + 993*g + 495 = 0.
-165, -1
Factor -d**2/3 + 30*d - 675.
-(d - 45)**2/3
Factor -v**3/5 + 13*v**2/5 + 368*v/5 - 156.
-(v - 26)*(v - 2)*(v + 15)/5
Factor -5*x**3 - 15*x**2 + 30*x + 40.
-5*(x - 2)*(x + 1)*(x + 4)
Factor t**2/2 + 3*t/2 - 2.
(t - 1)*(t + 4)/2
Let -3*l**5 + 24*l**4 - 51*l**3 - 6*l**2 + 72*l = 0. What is l?
-1, 0, 2, 3, 4
Solve -3*i**4/5 - 51*i**3/5 - 261*i**2/5 - 57*i + 120 = 0 for i.
-8, -5, 1
Factor 228*t**3 - 6*t**2/5.
6*t**2*(190*t - 1)/5
Factor j**3 - 16*j**2 - 4*j + 64.
(j - 16)*(j - 2)*(j + 2)
Suppose 5*l**2 + 3660*l + 7300 = 0. Calculate l.
-730, -2
Determine j so that -5*j**2 + 85*j - 210 = 0.
3, 14
Factor -2*c**4 + 2*c**3 + 10*c**2 + 6*c.
-2*c*(c - 3)*(c + 1)**2
Let -m**5/2 - 17*m**4/2 - 51*m**3 - 131*m**2 - 281*m/2 - 105/2 = 0. Calculate m.
-7, -5, -3, -1
Factor 34*o**3/7 - 234*o**2/7 - 640*o/7 - 72/7.
2*(o - 9)*(o + 2)*(17*o + 2)/7
Factor h**2 - 381*h + 380.
(h - 380)*(h - 1)
Factor b**4/2 - 9*b**3/2 - 6*b**2 + 10*b.
b*(b - 10)*(b - 1)*(b + 2)/2
Factor -21*w**3 + 804*w**2 + 1452*w - 480.
-3*(w - 40)*(w + 2)*(7*w - 2)
Factor -3*x**2 - 711*x.
-3*x*(x + 237)
Factor -3*o**2 + 225*o + 4050.
-3*(o - 90)*(o + 15)
Let 2*o**4/7 - 88*o**3/7 + 404*o**2/7 - 552*o/7 + 234/7 = 0. Calculate o.
1, 3, 39
What is t in -11*t**5 + 112*t**4 - 284*t**3 + 48*t**2 = 0?
0, 2/11, 4, 6
Factor -2*h**2 + 118*h.
-2*h*(h - 59)
Suppose x**2/2 + 10*x - 21/2 = 0. Calculate x.
-21, 1
Factor r**3/9 - 119*r**2/9 + 26*r.
r*(r - 117)*(r - 2)/9
Factor -4*w**3 - 112*w**2.
-4*w**2*(w + 28)
Solve -2*u**3/7 - 8*u**2 + 18*u + 180/7 = 0 for u.
-30, -1, 3
Factor d**3/11 - 7*d**2/11 + 10*d/11.
d*(d - 5)*(d - 2)/11
Factor -h**2/2 + h/2 + 36.
-(h - 9)*(h + 8)/2
What is m in 10*m**5 - 3855*m**4 + 370550*m**3 + 190100*m**2 - 370560*m - 186245 = 0?
-1, -1/2, 1, 193
Suppose -3*w**2/7 + 66*w/7 - 363/7 = 0. Calculate w.
11
Determine i so that 2*i**5/3 + 56*i**4/3 - 40*i**3 + 4*i**2/3 + 118*i/3 - 20 = 0.
-30, -1, 1
Factor r**3/3 - 65*r**2/3 + 188*r/3 - 124/3.
(r - 62)*(r - 2)*(r - 1)/3
Let 45*y**4/8 - 21*y**3/2 - 225*y**2/8 + 57*y/2 - 9/2 = 0. What is y?
-2, 1/5, 2/3, 3
Factor -3665*m**3/4 - 10985*m**2/4 + 15*m/2.
-5*m*(m + 3)*(733*m - 2)/4
Factor -147*y**2/4 + 126*y - 108.
-3*(7*y - 12)**2/4
Find t such that 5*t**2/2 - 3075*t/4 - 385 = 0.
-1/2, 308
Factor 10*w**2/3 + 305*w/2 - 115/3.
5*(w + 46)*(4*w - 1)/6
Factor d**4/10 - d**3/5 - 14*d**2/5 - 23*d/5 - 21/10.
(d - 7)*(d + 1)**2*(d + 3)/10
Let x**2 + 26*x + 169 = 0. What is x?
-13
Determine d so that d**3/3 + 40*d**2 = 0.
-120, 0
Determine v, given that 3*v**2/7 - 30*v/7 + 75/7 = 0.
5
Factor -k**3/2 + 51*k**2 - 1734*k + 19652.
-(k - 34)**3/2
Determine j so that 25*j**4/2 + 440*j**3 - 358*j**2 + 72*j = 0.
-36, 0, 2/5
Factor 5*x**4/4 - 95*x**3 + 7585*x**2/4 - 6845*x/2.
5*x*(x - 37)**2*(x - 2)/4
Suppose 22*v**2/5 - 76*v + 102/5 = 0. What is v?
3/11, 17
Determine o, given that 5*o**5/3 - 5*o**4/3 - 10*o**3 + 20*o**2/3 + 40*o/3 = 0.
-2, -1, 0, 2
Solve 4*k**3 + 188*k**2 - 192*k = 0 for k.
-48, 0, 1
Factor -5*p**4 - 35*p**3 - 30*p**2.
-5*p**2*(p + 1)*(p + 6)
Suppose -3*r**4/7 - 3012*r**3/7 - 1134018*r**2/7 - 189759012*r/7 - 11907378003/7 = 0. What is r?
-251
Let y**2/4 + 42*y + 1431/4 = 0. What is y?
-159, -9
Solve -8*y**5/7 + 18*y**4/7 + 92*y**3/7 + 88*y**2/7 + 12*y/7 - 10/7 = 0 for y.
-1, 1/4, 5
Determine h so that h**5/3 - 11*h**3/3 + 2*h**2 + 28*h/3 - 8 = 0.
-3, -2, 1, 2
What is v in -5*v**3 + 1005*v**2 - 1000*v = 0?
0, 1, 200
Factor r**4/5 - 32*r**3/5 - 3*r**2/5 + 94*r/5 + 64/5.
(r - 32)*(r - 2)*(r + 1)**2/5
Suppose 2*j**3 - 8*j = 0. What is j?
-2, 0, 2
Solve -4*w**3 - 36*w**2 - 32*w = 0 for w.
-8, -1, 0
What is a in 2500*a**5 + 4600*a**4 - 8284*a**3 + 1232*a**2 - 48*a = 0?
-3, 0, 2/25, 1
Suppose -2*m**2/9 - 2032*m/9 - 516128/9 = 0. What is m?
-508
Find h, given that 5*h**4 + 155*h**3 - 555*h**2 - 1555*h - 850 = 0.
-34, -1, 5
Factor l**2/4 + 43*l/4 + 39.
(l + 4)*(l + 39)/4
Let -v**3/6 - 95*v**2/3 + v/6 + 95/3 = 0. What is v?
-190, -1, 1
Factor 5*g**3 + 40*g**2 + 25*g - 70.
5*(g - 1)*(g + 2)*(g + 7)
Let -g**4 + 12*g**3 - 23*g**2 - 36*g = 0. What is g?
-1, 0, 4, 9
Solve 2*u**5/15 - 76*u**4/15 - 2*u**3/5 + 232*u**2/15 - 152*u/15 = 0.
-2, 0, 1, 38
Factor 4*x**3 + 20*x**2 + 24*x.
4*x*(x + 2)*(x + 3)
Factor -k**3/2 - 5*k**2 + 39*k/2 + 90.
-(k - 5)*(k + 3)*(k + 12)/2
Factor 2*w**3 + 8*w**2 + 8*w.
2*w*(w + 2)**2
Let -k**5/2 - 13*k**4 + 161*k**3/2 + 77*k**2 - 512*k - 496 = 0. Calculate k.
-31, -2, -1, 4
Suppose 147*i**4 + 210*i**3 - 156*i**2 + 24*i = 0. Calculate i.
-2, 0, 2/7
Factor -2048*k**2 - 128*k - 2.
-2*(32*k + 1)**2
Solve 4*z**3 + 36*z**2 + 92*z + 60 = 0.
-5, -3, -1
Solve 4*f**2 + 1784*f + 3552 = 0 for f.
-444, -2
Factor c**5/6 + 2*c**4/3 - c**3/2 - 7*c**2/3 - 4*c/3.
c*(c - 2)*(c + 1)**2*(c + 4)/6
Factor h**3/3 + 268*h**2 + 71824*h + 19248832/3.
(h + 268)**3/3
Factor d**4/4 + 7*d**3/4 + 9*d**2/2 + 5*d + 2.
(d + 1)*(d + 2)**3/4
Solve 3*h**4 + 45*h**3 + 75*h**2 - 45*h - 78 = 0 for h.
-13, -2, -1, 1
Factor -n**4/2 + 9*n**3 - 17*n**2/2 - 138*n + 288.
-(n - 16)*(n - 3)**2*(n + 4)/2
Factor -2*p**3/9 + 329*p**2/9 + 1340*p/9 + 1348/9.
-(p + 2)**2*(2*p - 337)/9
Let -