at 4*v**2 - 1312*v + 107584 = 0.
164
Find y, given that y**3/3 - 418*y**2/3 - y/3 + 418/3 = 0.
-1, 1, 418
Factor -62*t**3 - 200*t**2 - 166*t - 28.
-2*(t + 1)*(t + 2)*(31*t + 7)
Find u, given that 3*u**4 + 24*u**3 + 36*u**2 = 0.
-6, -2, 0
Find z such that 2*z**3/15 - 284*z**2/3 - 4274*z/15 - 2852/15 = 0.
-2, -1, 713
Factor 3*c**3 + 18*c**2 + 33*c + 18.
3*(c + 1)*(c + 2)*(c + 3)
Solve -h**4/4 - 59*h**3/4 - 210*h**2 + 225*h = 0 for h.
-30, 0, 1
Factor 2*n**2 + 110*n - 228.
2*(n - 2)*(n + 57)
Determine y, given that -3*y**4/4 + 3*y**3/2 + 6*y**2 = 0.
-2, 0, 4
Factor -m**4/4 + 71*m**3/4 - 35*m**2/2.
-m**2*(m - 70)*(m - 1)/4
Factor -4*y**3 + 260*y**2 - 256*y.
-4*y*(y - 64)*(y - 1)
Find y such that -2*y**2/13 - 2636*y/13 = 0.
-1318, 0
Suppose 3*l**5/7 - 30*l**4/7 + 66*l**3/7 - 12*l**2/7 - 69*l/7 + 6 = 0. Calculate l.
-1, 1, 2, 7
Factor 2*g**2/3 + 88*g + 2904.
2*(g + 66)**2/3
Factor -h**4/2 + h**3 + 9*h**2/2 - 9*h.
-h*(h - 3)*(h - 2)*(h + 3)/2
Solve -4*y**4 - 152*y**3 - 148*y**2 = 0 for y.
-37, -1, 0
Factor -12*b**3 + 800*b**2 - 13596*b + 8712.
-4*(b - 33)**2*(3*b - 2)
Suppose -14*b**4 - 380*b**3/3 + 8*b**2 + 380*b/3 + 6 = 0. Calculate b.
-9, -1, -1/21, 1
Solve -2*n**5/15 - 1016*n**4/15 - 173384*n**3/15 - 3388224*n**2/5 - 12870144*n/5 - 12644352/5 = 0.
-168, -2
Solve -2*f**2/7 - 17*f/7 + 9/7 = 0.
-9, 1/2
Suppose -5*x**2 - 5*x + 10 = 0. What is x?
-2, 1
Factor 2*j**2 - 20*j + 18.
2*(j - 9)*(j - 1)
Factor 5*q**3 + 860*q**2 + 37825*q + 72250.
5*(q + 2)*(q + 85)**2
Suppose -5*c**3/3 + 190*c**2/3 - 1600*c/3 - 4000/3 = 0. What is c?
-2, 20
Factor 3*f**3/7 + 75*f**2/7 + 114*f/7 - 552/7.
3*(f - 2)*(f + 4)*(f + 23)/7
Factor -2*r**2/7 - 40*r/7 - 72/7.
-2*(r + 2)*(r + 18)/7
Determine w so that 2000*w**3/7 + 7800*w**2/7 + 10140*w/7 + 4394/7 = 0.
-13/10
Let 2*l**5/11 - 16*l**4/11 + 36*l**3/11 - 8*l**2/11 - 38*l/11 + 24/11 = 0. Calculate l.
-1, 1, 3, 4
Factor -2*q**3 - 60*q**2 - 837*q/2 + 961/2.
-(q - 1)*(2*q + 31)**2/2
Solve -g**3/2 + 11*g**2/2 - 18*g + 18 = 0.
2, 3, 6
Suppose y**5/7 - 3*y**4/7 - 5*y**3/7 + 15*y**2/7 + 4*y/7 - 12/7 = 0. Calculate y.
-2, -1, 1, 2, 3
Factor -2*x**3/15 + 344*x**2/15 - 1304*x/5 + 768.
-2*(x - 160)*(x - 6)**2/15
Let -4*v**2 + 5232*v = 0. What is v?
0, 1308
Suppose 2*n**5/7 - 12*n**4/7 + 10*n**3/7 = 0. What is n?
0, 1, 5
Let 2*h**3 - 68*h**2 - 222*h = 0. Calculate h.
-3, 0, 37
Solve 5*a**5 - 20*a**4 + 25*a**3 - 10*a**2 = 0 for a.
0, 1, 2
Factor -4*j**2 + 144*j + 148.
-4*(j - 37)*(j + 1)
Factor -4*t**4 - 264*t**3 + 1756*t**2 + 2016*t.
-4*t*(t - 7)*(t + 1)*(t + 72)
Factor v**3/4 - 105*v**2/2 - 213*v - 214.
(v - 214)*(v + 2)**2/4
Solve 25*m**5 + 510*m**4 + 3050*m**3 + 4640*m**2 - 5475*m - 2750 = 0 for m.
-11, -5, -2/5, 1
Let 48050*b**2/13 + 1240*b/13 + 8/13 = 0. Calculate b.
-2/155
Find t, given that 2*t**4/7 + 8*t**3/7 + 8*t**2/7 = 0.
-2, 0
Solve -35*h**4 - 290*h**3 - 45*h**2 + 290*h + 80 = 0.
-8, -1, -2/7, 1
Factor 4*d**3 - 17*d**2/3 + d + 2/3.
(d - 1)*(3*d - 2)*(4*d + 1)/3
Solve x**3 - 4*x**2 - 4*x + 16 = 0.
-2, 2, 4
Factor -2*l**3/5 - 26*l**2/5 - 84*l/5.
-2*l*(l + 6)*(l + 7)/5
Factor 5*d**2 + 100*d - 105.
5*(d - 1)*(d + 21)
Solve -2*z**2/11 + 496*z/11 - 30752/11 = 0 for z.
124
Factor 5*s**4 + 40*s**3 - 55*s**2 - 90*s.
5*s*(s - 2)*(s + 1)*(s + 9)
Factor 5*g**2 - 125*g + 120.
5*(g - 24)*(g - 1)
Suppose -6*m**3 + 146*m**2 + 256*m + 104 = 0. Calculate m.
-1, -2/3, 26
Solve -404*t**3 + 1624*t**2 - 1648*t + 32 = 0.
2/101, 2
Factor -3*y**4/4 - 3*y**3 + 3*y**2/4 + 3*y.
-3*y*(y - 1)*(y + 1)*(y + 4)/4
Solve -3*y**4/5 - 87*y**3/5 - 33*y**2 - 81*y/5 = 0.
-27, -1, 0
Factor -5*d**2 - 30*d + 135.
-5*(d - 3)*(d + 9)
Factor -4*s**2 + 104*s - 676.
-4*(s - 13)**2
Suppose -40*z**2 + 292*z - 84 = 0. What is z?
3/10, 7
Let 2*o**3/7 - 120*o**2/7 - 506*o/7 - 384/7 = 0. What is o?
-3, -1, 64
Suppose x**5 + 45*x**4 + 129*x**3 + 127*x**2 + 42*x = 0. Calculate x.
-42, -1, 0
Find p, given that -2*p**3/5 - 6*p**2/5 - 4*p/5 = 0.
-2, -1, 0
Suppose b**2 + 94*b - 192 = 0. Calculate b.
-96, 2
Factor 4*l**4/9 - 112*l**3/9 + 188*l**2/3 - 88*l.
4*l*(l - 22)*(l - 3)**2/9
What is q in 67081*q**2 + 1036*q + 4 = 0?
-2/259
Factor 5*t**4 - 15*t**3 + 15*t**2 - 5*t.
5*t*(t - 1)**3
Solve 14*k**5/11 + 46*k**4/11 + 40*k**3/11 + 8*k**2/11 = 0.
-2, -1, -2/7, 0
Suppose 5*k**5 - 70*k**4 - 5*k**3 + 70*k**2 = 0. Calculate k.
-1, 0, 1, 14
Solve 20*a**3 + 4235*a**2 + 223660*a - 56180 = 0 for a.
-106, 1/4
Factor 4*g**5 + 132*g**4.
4*g**4*(g + 33)
Factor 6*z**3/7 + 92*z**2/7 + 58*z + 56.
2*(z + 7)**2*(3*z + 4)/7
Factor u**4/5 + 43*u**3/5 + 8*u**2 - 84*u/5.
u*(u - 1)*(u + 2)*(u + 42)/5
Suppose r**4/6 + 11*r**3/6 + 13*r**2/6 - 17*r/2 - 9 = 0. What is r?
-9, -3, -1, 2
Find h such that 2*h**5 + 470*h**4 + 28310*h**3 + 82130*h**2 + 81200*h + 26912 = 0.
-116, -1
What is v in -2*v**3/7 - 312*v**2/7 + 2*v/7 + 312/7 = 0?
-156, -1, 1
Determine h, given that -h**2/7 + 8548*h/7 - 18267076/7 = 0.
4274
What is q in 5*q**3 + 170*q**2 + 1445*q = 0?
-17, 0
Factor f**2/5 - 29*f/5 + 38.
(f - 19)*(f - 10)/5
What is g in -g**5 + 67*g**4/4 + 21*g**3/4 - 67*g**2/4 - 17*g/4 = 0?
-1, -1/4, 0, 1, 17
Let 4*q**3 + 48*q**2 + 84*q - 392 = 0. What is q?
-7, 2
Factor -4*d**3 - 48*d**2 + 112*d.
-4*d*(d - 2)*(d + 14)
Solve -2*q**2/9 + 130*q/9 + 44/3 = 0 for q.
-1, 66
Let -r**4 - 26*r**3 + 7*r**2 + 176*r - 156 = 0. Calculate r.
-26, -3, 1, 2
Factor -c**3/4 + 4*c**2 - 77*c/4 + 49/2.
-(c - 7)**2*(c - 2)/4
Solve -v**5 - 51*v**4 + 105*v**3 - 53*v**2 = 0.
-53, 0, 1
Solve 4*n**2/5 + 36*n/5 + 32/5 = 0.
-8, -1
Factor 5*v**4 - 5*v**3 - 25*v**2 - 15*v.
5*v*(v - 3)*(v + 1)**2
Suppose -3*a**3/4 + 9*a**2/2 + 39*a/4 - 63/2 = 0. Calculate a.
-3, 2, 7
Factor -3*v**3/2 - 252*v**2.
-3*v**2*(v + 168)/2
Suppose -2*r**5/19 + 434*r**4/19 - 430*r**3/19 - 434*r**2/19 + 432*r/19 = 0. Calculate r.
-1, 0, 1, 216
Suppose 5*q**2 + 35*q + 50 = 0. Calculate q.
-5, -2
Factor 2*f**3 - 14*f**2 - 212*f + 224.
2*(f - 14)*(f - 1)*(f + 8)
Factor -5*l**4 + 448*l**3 - 9945*l**2 - 4050*l.
-l*(l - 45)**2*(5*l + 2)
Factor -3*p**4 - 153*p**3 - 294*p**2.
-3*p**2*(p + 2)*(p + 49)
Let -r**3/4 - 1175*r**2/4 - 345743*r/4 - 344569/4 = 0. What is r?
-587, -1
Factor -y**2/3 + 11*y/3 + 4.
-(y - 12)*(y + 1)/3
Let n**4/3 + 4*n**3 - 39*n**2 + 292*n/3 - 76 = 0. What is n?
-19, 2, 3
Determine v, given that -3*v**2 + 42*v - 144 = 0.
6, 8
Factor -5*o**3 - 290*o**2 - 4205*o.
-5*o*(o + 29)**2
Find s, given that -12*s**5 - 1035*s**4 - 2241*s**3 + 2316*s**2 + 3996*s - 3024 = 0.
-84, -2, 3/4, 1
Factor -2*h**5/5 + 862*h**4/5 - 124412*h**3/5 + 1218932*h**2 - 11819522*h/5 + 5848414/5.
-2*(h - 143)**3*(h - 1)**2/5
Suppose -c**2/3 + 34*c/3 = 0. What is c?
0, 34
Factor w**3/5 - 94*w**2 + 937*w/5 - 468/5.
(w - 468)*(w - 1)**2/5
Let -x**4/9 + 13*x**3/9 - 7*x**2/3 - 13*x/9 + 22/9 = 0. What is x?
-1, 1, 2, 11
Factor -j**4/2 - 281*j**3/2 - 831*j**2 - 1654*j - 1100.
-(j + 2)**3*(j + 275)/2
Factor -3*m**2 - 2658*m - 588747.
-3*(m + 443)**2
Determine l so that 3*l**4 + 48*l**3/7 - 93*l**2/7 - 156*l/7 - 36/7 = 0.
-3, -1, -2/7, 2
What is h in -4*h**5/3 + 56*h**4/3 - 88*h**3 + 496*h**2/3 - 404*h/3 + 40 = 0?
1, 5, 6
Factor r**2/4 + 273*r/4.
r*(r + 273)/4
Factor 8*d**4 + 26*d**3 + 16*d**2 - 14*d - 12.
2*(d + 1)**2*(d + 2)*(4*d - 3)
Let -4*t**3 + 72*t**2 + 244*t + 168 = 0. Calculate t.
-2, -1, 21
Factor -m**4/4 - 33*m**3/4 - 45*m**2/2 + m + 30.
-(m - 1)*(m + 2)**2*(m + 30)/4
Factor -2*y**2/3 + 12*y + 42.
-2*(y - 21)*(y + 3)/3
Let -5*i**3 - 80*i**2 + 85*i = 0. What is i?
-17, 0, 1
Factor -3*o**4/4 - 21*o**3 - 216*o**2 - 960*o - 1536.
-3*(o + 4)*(o + 8)**3/4
Factor -6*m**3/7 - 2082*m**2/7 - 2076*m/7.
-6*m*(m + 1)*(m + 346)/7
Suppose 4*z**4/3 + 76*z**3/3 + 124*z**2/3 - 68*z = 0. What is z?
-17, -3, 0, 1
Factor o**5/3 + 4*o**4/3 + 2*o**3/3 - 4*o**2/3 - o.
o*(o - 1)*(o + 1)**2*(o + 3)/3
Factor 320*b**5 - 1680*b**4 - 2180*b**3 + 25165*b**2 - 47040*b + 27440.
5*(b - 4)*(b + 4)*(4*b - 7)**3
Let v**2 - 2*v - 8 = 0. Calculate v.
-2, 4
Solve 3*w**2 - 282*w + 3927 = 0.
17, 77
Factor 2*l**2/3 + 222*l.
2*l*(l + 333)/3
Factor -2*q**3 + 394*q**2 + 1600*q + 1608.
-2*(q - 201)*(q + 2)**2
Factor 4*d**3 + 64*d**2 + 60*d.
4*d*(d + 1)*(d + 15)
What is n in 4*n**5 - 12*n**4 - 4*n**3 + 12*n**2 = 0?
-1, 0, 1, 3
What is a in 4*a**4 + 64*a**3 + 140*a**2 - 208*a = 0?
-13, -4, 0, 1
Let -2*d**4/3 - 10*d**3 - 76*d**2/3 - 16*d = 0. Calcu