 + 4*r**2.
-2*r**2*(r - 2)
Factor d**3/3 - 7*d**2/3.
d**2*(d - 7)/3
Solve -3*q**5 - 12*q**4 + 24*q**3 + 42*q**2 - 21*q - 30 = 0 for q.
-5, -1, 1, 2
Solve -2*x**3/7 - 4*x**2 - 18*x/7 + 360/7 = 0.
-12, -5, 3
Find t such that -2*t**3 + 22*t**2 + 50*t + 26 = 0.
-1, 13
Solve -2*p**3/5 + 46*p**2/5 + 8*p/5 - 184/5 = 0.
-2, 2, 23
Determine v so that -v**5 - 18*v**4 - 60*v**3 - 56*v**2 = 0.
-14, -2, 0
Factor 2*c**3/7 - 12*c**2/7 + 22*c/7 - 12/7.
2*(c - 3)*(c - 2)*(c - 1)/7
Solve d**2/4 - 9*d/4 - 5/2 = 0 for d.
-1, 10
What is b in -5*b**4 - 285*b**3 - 4465*b**2 - 11475*b - 7290 = 0?
-27, -2, -1
Factor -30*v**2/11 - 44*v - 64/11.
-2*(v + 16)*(15*v + 2)/11
Let -2*z**5/13 + 8*z**4/13 + 102*z**3/13 + 188*z**2/13 - 56*z/13 - 240/13 = 0. Calculate z.
-3, -2, 1, 10
Factor 20*s**4 - 120*s**3 + 105*s**2 - 25*s.
5*s*(s - 5)*(2*s - 1)**2
Factor j**4 + 6*j**3 - j**2 - 6*j.
j*(j - 1)*(j + 1)*(j + 6)
Suppose 2*i**2 - 856*i + 91592 = 0. Calculate i.
214
Solve -3*o**3 - 11*o**2 + 4*o = 0 for o.
-4, 0, 1/3
Let 2*o**3/7 - 146*o**2/7 + 144*o/7 = 0. Calculate o.
0, 1, 72
Suppose 75*f**2 - 7440*f + 184512 = 0. What is f?
248/5
Suppose -2*x**5 + 90*x**4 - 958*x**3 - 1418*x**2 + 3864*x + 4232 = 0. What is x?
-2, -1, 2, 23
Suppose -3*h**3 + 465*h**2 - 18249*h + 17787 = 0. What is h?
1, 77
Solve -5*q**5 + 10*q**4 + 35*q**3 + 20*q**2 = 0.
-1, 0, 4
Suppose -y**5/2 - 6*y**4 - 15*y**3 - 14*y**2 - 9*y/2 = 0. What is y?
-9, -1, 0
Find m, given that 35*m**3 + 255*m**2 - 560*m - 180 = 0.
-9, -2/7, 2
Suppose -3*n**2 + 327*n - 6300 = 0. What is n?
25, 84
Factor 3*m**4 - 27*m**3 - 30*m**2.
3*m**2*(m - 10)*(m + 1)
Factor -2*y**2/11 - 58*y/11 + 60/11.
-2*(y - 1)*(y + 30)/11
What is p in -2*p**4/11 - 28*p**3/11 - 82*p**2/11 + 112*p/11 = 0?
-8, -7, 0, 1
Solve -i**2/3 + 3*i + 112/3 = 0.
-7, 16
Determine v so that -4*v**4/9 - 34*v**3/9 - 4*v**2 + 190*v/9 + 100/9 = 0.
-5, -1/2, 2
Factor 2*q**2/9 - 2*q/9.
2*q*(q - 1)/9
Determine h so that h**2 - 296*h + 21904 = 0.
148
Factor -7*n**2 + 68*n + 20.
-(n - 10)*(7*n + 2)
Find k such that -14*k**3 - 66*k**2 + 216*k - 56 = 0.
-7, 2/7, 2
Determine o, given that -5*o**4/7 + 1662*o**3/7 - 140089*o**2/7 + 46860*o - 108900/7 = 0.
2/5, 2, 165
Solve w**3 + 192*w**2/5 - 527*w/5 + 246/5 = 0.
-41, 3/5, 2
Let -4*n**4/9 - 203*n**3/9 - 815*n**2/3 + 3328*n/9 - 676/9 = 0. What is n?
-26, 1/4, 1
Factor -2*f**2 + 676*f - 57122.
-2*(f - 169)**2
Factor -12*y**4/5 - 783*y**3 - 319806*y**2/5 - 79707*y/5.
-3*y*(y + 163)**2*(4*y + 1)/5
Suppose -2*f**4/9 + 14*f**3/9 + 2*f**2/9 - 14*f/9 = 0. Calculate f.
-1, 0, 1, 7
Factor -j**3 + 3361*j**2 - 2822399*j - 2825761.
-(j - 1681)**2*(j + 1)
Solve f**4/3 + 46*f**3/9 + 55*f**2/9 - 16*f/9 - 28/9 = 0 for f.
-14, -1, 2/3
Factor 2*q**2/7 - 2*q/7 - 12/7.
2*(q - 3)*(q + 2)/7
Factor -3*w**4/4 + 855*w**3/4 - 5049*w**2/4 + 7533*w/4.
-3*w*(w - 279)*(w - 3)**2/4
Solve -32*i**4 - 752*i**3 - 4946*i**2 - 6204*i - 2178 = 0 for i.
-11, -3/4
Find s, given that 3*s**4/8 + 159*s**3/8 + 309*s**2/8 + 153*s/8 = 0.
-51, -1, 0
Solve j**2 + 1786*j + 797449 = 0 for j.
-893
What is i in -14*i**5/5 - 17*i**4/2 - 17*i**3/2 - 5*i**2/2 + i/2 + 1/5 = 0?
-1, -2/7, 1/4
Suppose 3*s**4 + 24*s**3 - 129*s**2 + 174*s - 72 = 0. What is s?
-12, 1, 2
Determine u so that 3*u**2 + 11580*u = 0.
-3860, 0
Factor 9*p**2/7 - 2545*p/7 - 566/7.
(p - 283)*(9*p + 2)/7
Factor 2*i**3 + 4040*i**2 - 2*i - 4040.
2*(i - 1)*(i + 1)*(i + 2020)
Solve r**3/6 + r**2/3 - 2*r/3 - 4/3 = 0.
-2, 2
Factor 4*c**4 - 208*c**3 + 2904*c**2 - 5200*c + 2500.
4*(c - 25)**2*(c - 1)**2
Suppose 3*b**5/2 + 27*b**4/2 + 75*b**3/2 + 81*b**2/2 + 15*b = 0. Calculate b.
-5, -2, -1, 0
Factor -2*d**5/3 + 8*d**4 - 44*d**3/3 - 56*d**2 - 98*d/3.
-2*d*(d - 7)**2*(d + 1)**2/3
Factor 17*k**3 - 1152*k**2 + 19380*k + 4624.
(k - 34)**2*(17*k + 4)
Find p, given that 6*p**5/13 - 1328*p**4/13 + 436*p**3/13 + 1328*p**2/13 - 34*p = 0.
-1, 0, 1/3, 1, 221
Factor 5*s**2 - 1945*s - 3910.
5*(s - 391)*(s + 2)
Factor 3*c**4 - 609*c**3 - 3*c**2 + 609*c.
3*c*(c - 203)*(c - 1)*(c + 1)
Find k such that k**3/2 + 98*k**2/5 + 2329*k/10 + 3757/5 = 0.
-17, -26/5
Factor -s**2/2 - 403*s - 162409/2.
-(s + 403)**2/2
Let 3*p**5/5 + 18*p**4/5 + 33*p**3/5 + 18*p**2/5 = 0. What is p?
-3, -2, -1, 0
Let 3*k**2 + 330*k/7 - 96/7 = 0. Calculate k.
-16, 2/7
Suppose -w**5 + 13*w**4 + 53*w**3 - 577*w**2 - 2552*w - 1936 = 0. Calculate w.
-4, -1, 11
Suppose 2*q**4/9 - 4*q**3 + 224*q**2/9 - 60*q + 350/9 = 0. What is q?
1, 5, 7
Solve 4*n**2 + 56944*n + 202663696 = 0.
-7118
Find u, given that 2*u**2 + 26*u + 24 = 0.
-12, -1
Solve 2*k**3/7 - 94*k**2/7 + 1056*k/7 + 1152/7 = 0.
-1, 24
Factor 5*l**2 - 26*l + 169/5.
(5*l - 13)**2/5
Let a**4 - 137*a**3 + 128*a**2 + 1100*a - 1632 = 0. Calculate a.
-3, 2, 136
Let r**4/2 - 21*r**3 - 135*r**2/2 - 2*r + 90 = 0. What is r?
-2, 1, 45
Find t, given that t**5/5 - 3*t**4/5 - t**3 + 3*t**2/5 + 4*t/5 = 0.
-1, 0, 1, 4
Solve -2*t**4/3 - 6*t**3 - 2*t**2 + 290*t/3 + 200 = 0 for t.
-5, -3, 4
Factor -4*b**3/9 + 1864*b**2/9 + 4*b/9 - 1864/9.
-4*(b - 466)*(b - 1)*(b + 1)/9
Suppose 4*y**2 - 980*y + 1944 = 0. What is y?
2, 243
What is f in -f**3/3 - 1585*f**2 - 1883376*f + 5654884/3 = 0?
-2378, 1
Determine p, given that 3*p**3 - 171*p**2/4 + 165*p/2 - 18 = 0.
1/4, 2, 12
Factor o**3/5 + 41*o**2/5 - o/5 - 41/5.
(o - 1)*(o + 1)*(o + 41)/5
Let -m**4 - 2*m**3 + 9*m**2 + 2*m - 8 = 0. What is m?
-4, -1, 1, 2
Let -5*t**3 + 5*t**2 + 10*t = 0. What is t?
-1, 0, 2
Solve -w**3/4 - 211*w**2 + 845*w/4 = 0 for w.
-845, 0, 1
Determine x, given that -2*x**4 - 30*x**3 + 6*x**2 + 94*x + 60 = 0.
-15, -1, 2
Factor 2*a**3 + 28*a**2 - 144*a.
2*a*(a - 4)*(a + 18)
Factor -4*o**4/3 - 4*o**3/3 + 24*o**2 + 208*o/3 + 160/3.
-4*(o - 5)*(o + 2)**3/3
Factor -p**5/9 - 49*p**4/9 + 17*p**3 - 155*p**2/9 + 52*p/9.
-p*(p - 1)**3*(p + 52)/9
Factor -k**4/9 + k**3/3 - 2*k**2/9.
-k**2*(k - 2)*(k - 1)/9
Determine o so that -4*o**4 - 88*o**3 - 304*o**2 - 288*o = 0.
-18, -2, 0
Let 135*f**2 - 672*f - 15 = 0. What is f?
-1/45, 5
Find u, given that u**4/10 + 12*u**3/5 - 31*u**2/10 - 15*u = 0.
-25, -2, 0, 3
Factor 2*z**2/3 - 4*z/3 - 16/3.
2*(z - 4)*(z + 2)/3
Factor 2*p**4 - 36*p**3 + 66*p**2 + 968*p.
2*p*(p - 11)**2*(p + 4)
Let -j**4 + 33*j**3 = 0. What is j?
0, 33
Determine d so that 4*d**4 + 4*d**3 - 148*d**2 + 140*d = 0.
-7, 0, 1, 5
Determine a so that 3*a**5 + 81*a**4 + 729*a**3 + 2415*a**2 + 1764*a = 0.
-12, -7, -1, 0
Factor 3*h**4 + 939*h**3 + 73938*h**2 + 71136*h - 146016.
3*(h - 1)*(h + 2)*(h + 156)**2
Factor 6*z**3 + 49*z**2 - 46*z - 9.
(z - 1)*(z + 9)*(6*z + 1)
Factor -2*b**4/3 - 110*b**3 - 218*b**2 - 326*b/3.
-2*b*(b + 1)**2*(b + 163)/3
Factor -9*o**2 - 88*o/5 + 4/5.
-(o + 2)*(45*o - 2)/5
Solve -z**4/8 + 3*z**3/2 + 13*z**2/8 = 0 for z.
-1, 0, 13
Factor -m**2/8 - 153*m/2.
-m*(m + 612)/8
Suppose -5*q**3 - 10*q**2 + 15*q = 0. What is q?
-3, 0, 1
Solve -585*x**2 - 6441*x - 66 = 0.
-11, -2/195
Solve 2*u**5/7 - 6*u**4/7 - 2*u**3/7 + 2*u**2 - 8/7 = 0 for u.
-1, 1, 2
Factor -2*b**5/9 + 2*b**4/9 + 4*b**3/3 - 28*b**2/9 + 22*b/9 - 2/3.
-2*(b - 1)**4*(b + 3)/9
Factor 2*m**5/3 + 118*m**4/3 + 1798*m**3/3 + 1682*m**2/3.
2*m**2*(m + 1)*(m + 29)**2/3
Find j, given that -j**3/6 - 77*j**2/2 + 155*j/2 - 233/6 = 0.
-233, 1
Factor 135*l**2 + 10*l.
5*l*(27*l + 2)
What is u in -25*u**5/2 + 725*u**4/2 - 2798*u**3 + 2392*u**2 + 448*u - 392 = 0?
-2/5, 2/5, 1, 14
Solve 5*d**5 - 25*d**4 - 75*d**3 + 25*d**2 + 70*d = 0 for d.
-2, -1, 0, 1, 7
Let -3*i**4 + 294*i**3 - 7491*i**2 + 14112*i - 6912 = 0. What is i?
1, 48
Factor l**2/6 - 46*l/3.
l*(l - 92)/6
Factor -2*o**2 + 442*o + 3192.
-2*(o - 228)*(o + 7)
Factor f**2 - 1673*f.
f*(f - 1673)
Factor -41*q**2/3 - 2*q/3.
-q*(41*q + 2)/3
Factor 68*h**3 - 72*h**2 + 4*h.
4*h*(h - 1)*(17*h - 1)
Let -3*o**2 - 1398*o - 162867 = 0. What is o?
-233
Determine f so that -f**4 + 48*f**3 - 181*f**2 + 222*f - 88 = 0.
1, 2, 44
Let -c**2/5 - 56*c/5 + 116/5 = 0. Calculate c.
-58, 2
Factor -2*r**2/5 - 14*r/5.
-2*r*(r + 7)/5
Let 2*a**4 + 126*a**3 + 462*a**2 - 590*a = 0. Calculate a.
-59, -5, 0, 1
Factor -2*n**2/5 - 48*n/5 + 104/5.
-2*(n - 2)*(n + 26)/5
Solve -3*n**2 + 87*n - 300 = 0 for n.
4, 25
Factor -2*n**2/3 + 188*n/3 - 62.
-2*(n - 93)*(n - 1)/3
Factor -6*v**2/11 - 58*v/11 + 20/11.
-2*(v + 10)*(3*v - 1)/11
Let -2*k**4/3 + 6*k**3 - 22*k**2/3 - 14*k = 0. Calculate k.
-1, 0, 3, 7
Suppose 3