/3 = 0.
11, 20
Factor -4*n**3 + 1188*n**2 - 94380*n + 899756.
-4*(n - 143)**2*(n - 11)
What is k in -10*k**4/11 - 6*k**3/11 + 24*k**2/11 - 8*k/11 = 0?
-2, 0, 2/5, 1
Factor 4*q**2/9 - 88*q/9 + 28/3.
4*(q - 21)*(q - 1)/9
Suppose -2*k**2/7 - 72*k/7 - 90 = 0. Calculate k.
-21, -15
Find d, given that 2*d**4/11 + 142*d**3/11 + 138*d**2/11 - 142*d/11 - 140/11 = 0.
-70, -1, 1
Factor -2*n**3/15 + 17222*n**2/15 - 37066048*n/15 - 37083272/15.
-2*(n - 4306)**2*(n + 1)/15
Factor j**4 - 39*j**3 + 399*j**2 - 361*j.
j*(j - 19)**2*(j - 1)
Factor -54*u**3 - 450*u**2 - 291*u/2 - 12.
-3*(u + 8)*(6*u + 1)**2/2
Determine r so that 22*r**4 - 158*r**3/7 - 110*r**2/7 + 78*r/7 + 36/7 = 0.
-6/11, -3/7, 1
Factor -w**2/2 - 7*w/2 + 4.
-(w - 1)*(w + 8)/2
Factor 4*m**3 - 168*m**2 + 476*m - 312.
4*(m - 39)*(m - 2)*(m - 1)
Solve -2*u**4 + 10*u**2 - 8 = 0 for u.
-2, -1, 1, 2
Factor -2*b**3 - 36*b**2 + 230*b.
-2*b*(b - 5)*(b + 23)
Factor 2*r**2/5 - 62*r/5 - 64/5.
2*(r - 32)*(r + 1)/5
Find c such that 2*c**2/13 + 118*c/13 - 244/13 = 0.
-61, 2
Factor -2*b**3/9 - 10*b**2/3 - 6*b - 26/9.
-2*(b + 1)**2*(b + 13)/9
Find g, given that -g**5/10 + 3*g**4/5 + 7*g**3/10 = 0.
-1, 0, 7
What is q in 5*q**4 + 26*q**3 + 21*q**2 = 0?
-21/5, -1, 0
Find u such that 4*u**4/9 + 4*u**3 + 112*u**2/9 + 16*u + 64/9 = 0.
-4, -2, -1
Factor -y**3 - 69*y**2/5 + 34*y - 96/5.
-(y - 1)*(y + 16)*(5*y - 6)/5
Factor y**5/4 - y**4/4 - y**3/4 + y**2/4.
y**2*(y - 1)**2*(y + 1)/4
Factor -2*q**3/11 - 9312*q**2/11 - 14452224*q/11 - 7476617216/11.
-2*(q + 1552)**3/11
Factor -4*q**3/3 + 45*q**2 + 58*q + 35/3.
-(q - 35)*(q + 1)*(4*q + 1)/3
Find i, given that 3*i**4 + 9*i**3 - 1596*i**2 + 13680*i - 12096 = 0.
-28, 1, 12
Factor p**4 - 51*p**3 + 624*p**2 + 676*p.
p*(p - 26)**2*(p + 1)
Factor 14*h**3/13 - 2348*h**2/13 + 98112*h/13 + 28224/13.
2*(h - 84)**2*(7*h + 2)/13
Determine w, given that -2*w**2/15 - 1208*w/15 = 0.
-604, 0
Factor d**5/4 - 125*d**4/4 + 4435*d**3/4 - 33435*d**2/4 + 23490*d - 22707.
(d - 58)**2*(d - 3)**3/4
Factor 2*d**3/3 - 2*d**2/3 - 8*d.
2*d*(d - 4)*(d + 3)/3
Factor 21*o**3 - 8700*o**2 + 2484*o.
3*o*(o - 414)*(7*o - 2)
Factor -5*y**3 + 720*y**2 - 3475*y.
-5*y*(y - 139)*(y - 5)
Solve -3*b**4 - 9*b**3 + 9*b**2 + 33*b + 18 = 0 for b.
-3, -1, 2
Solve -126*k**4 + 2775*k**3 - 15312*k**2 + 363*k = 0 for k.
0, 1/42, 11
Factor b**5/2 + 7*b**4/2 - 21*b**3/2 - 27*b**2/2.
b**2*(b - 3)*(b + 1)*(b + 9)/2
Find u, given that -170*u**4/13 + 162*u**3/13 + 372*u**2/13 - 8*u/13 - 48/13 = 0.
-1, -2/5, 6/17, 2
Let -5*d**2 - 15290*d - 11689205 = 0. What is d?
-1529
Factor -6*d**3 + 123*d**2/2 - 375*d/2 + 150.
-3*(d - 5)*(d - 4)*(4*d - 5)/2
Factor 12*c**3 + 3*c**2 - 9*c.
3*c*(c + 1)*(4*c - 3)
Factor -3*m**2 + 486*m + 489.
-3*(m - 163)*(m + 1)
Suppose 15*b**5 - 20*b**4 - 20*b**3 + 30*b**2 + 5*b - 10 = 0. Calculate b.
-1, -2/3, 1
Factor t**3/3 + 10*t**2/3 - 391*t/3 - 400/3.
(t - 16)*(t + 1)*(t + 25)/3
Find h, given that -4*h**5 - 1568*h**4 - 6220*h**3 - 4640*h**2 + 6224*h + 6208 = 0.
-388, -2, -1, 1
Suppose -2*a**2 - 228*a - 6498 = 0. What is a?
-57
Determine z, given that 4*z**2/3 + 180*z = 0.
-135, 0
Factor -2*r**3/5 - 2*r**2 + 44*r/5 - 32/5.
-2*(r - 2)*(r - 1)*(r + 8)/5
Find j such that 4*j**5/3 + 400*j**4 - 3676*j**3 + 29600*j**2/3 - 6592*j = 0.
-309, 0, 1, 4
Let 2*t**2 - 76*t + 74 = 0. Calculate t.
1, 37
Factor -4*k**4 + 80*k**3 + 88*k**2 - 80*k - 84.
-4*(k - 21)*(k - 1)*(k + 1)**2
Suppose 6*k**4 + 201*k**3/2 + 717*k**2/2 + 192*k - 72 = 0. Calculate k.
-12, -4, -1, 1/4
Factor -5*c**5 + 40*c**4 - 30*c**3 - 200*c**2 - 125*c.
-5*c*(c - 5)**2*(c + 1)**2
Factor b**3/12 - 38*b**2 + 5776*b - 877952/3.
(b - 152)**3/12
Factor -i**5/5 - 6*i**4/5 - 8*i**3/5 + 16*i**2/5 + 48*i/5 + 32/5.
-(i - 2)*(i + 2)**4/5
Factor u**3 + 2*u**2 - 25*u - 50.
(u - 5)*(u + 2)*(u + 5)
Find y such that -2*y**2/13 + 388*y/13 = 0.
0, 194
Find d, given that -d**4/4 - d**3 - 3*d**2/2 - d - 1/4 = 0.
-1
Suppose -15*s**4 - 3006*s**3 - 151200*s**2 - 60000*s = 0. What is s?
-100, -2/5, 0
Factor u**2/7 + 67*u/7 + 366/7.
(u + 6)*(u + 61)/7
Factor -2*b**2/5 + 22*b + 1008/5.
-2*(b - 63)*(b + 8)/5
Solve -4*z**2 + 56*z + 60 = 0 for z.
-1, 15
Factor 5*a**5 + 145*a**4 + 270*a**3 - 10*a**2 - 275*a - 135.
5*(a - 1)*(a + 1)**3*(a + 27)
Factor j**4/4 - 9*j**3/4 - 11*j**2/4 + 9*j/4 + 5/2.
(j - 10)*(j - 1)*(j + 1)**2/4
Factor -2*v**3/5 + 992*v**2/5 + 800*v.
-2*v*(v - 500)*(v + 4)/5
Suppose -2*x**5/9 + 10*x**4/3 - 18*x**3 + 42*x**2 - 36*x = 0. Calculate x.
0, 3, 6
Factor 3*s**2 + 5544*s - 5547.
3*(s - 1)*(s + 1849)
Suppose 2*o**2 + 528*o + 1048 = 0. Calculate o.
-262, -2
Let -11*o**4/2 + 409*o**3/2 - 2017*o**2 + 2142*o - 324 = 0. What is o?
2/11, 1, 18
Let 3*z**3 + 8658*z**2 + 8328996*z + 2670831384 = 0. What is z?
-962
What is k in -5*k**5 - 45*k**4 - 140*k**3 - 180*k**2 - 80*k = 0?
-4, -2, -1, 0
Factor 2*n**3/3 + 16*n**2/3 + 38*n/3 + 8.
2*(n + 1)*(n + 3)*(n + 4)/3
Find t, given that 3*t**5 - 315*t**4 + 10041*t**3 - 92037*t**2 + 208656*t + 311052 = 0.
-1, 7, 46
Factor y**3 - 5*y**2 - 6*y.
y*(y - 6)*(y + 1)
Determine k, given that 4*k**3 + 1708*k**2 + 183180*k + 181476 = 0.
-213, -1
Factor -2*g**5/5 - 36*g**4/5 - 26*g**3.
-2*g**3*(g + 5)*(g + 13)/5
Let 27*q**5/7 - 414*q**4/7 - 741*q**3/7 - 404*q**2/7 - 68*q/7 = 0. Calculate q.
-2/3, -1/3, 0, 17
Factor -2*j**4 + 32*j**3 - 82*j**2 + 52*j.
-2*j*(j - 13)*(j - 2)*(j - 1)
Suppose -8*g**4 - 4*g**3 + 24*g**2 + 28*g + 8 = 0. What is g?
-1, -1/2, 2
Find x, given that x**2 - 186*x + 8649 = 0.
93
Determine l so that -5*l**3 - 240*l**2 - 2025*l - 4750 = 0.
-38, -5
Factor 3*d**5 - 39*d**4 + 99*d**3 - 93*d**2 + 30*d.
3*d*(d - 10)*(d - 1)**3
Determine q, given that 3*q**2/10 - 967*q/10 - 323/5 = 0.
-2/3, 323
What is l in 2*l**2/5 - 86*l/5 - 88/5 = 0?
-1, 44
What is h in h**2/7 - 316*h + 174748 = 0?
1106
Let -12996*h**2 + 912*h - 16 = 0. Calculate h.
2/57
Solve -y**4/3 + 59*y**3/3 + 62*y**2 + 4*y/3 - 248/3 = 0 for y.
-2, 1, 62
Factor 2*j**4 - 94*j**3 + 212*j**2 + 25080*j - 25200.
2*(j - 30)**2*(j - 1)*(j + 14)
Determine x so that -2*x**3 + 40*x**2 + 2250*x = 0.
-25, 0, 45
Determine b so that -3*b**3 + 459*b**2 - 6768*b + 26304 = 0.
8, 137
Determine b, given that -53*b**4 - 55*b**3 + 104*b**2 + 4*b = 0.
-2, -2/53, 0, 1
Solve 3*d**5 + 36*d**4 + 15*d**3 - 534*d**2 + 864*d - 384 = 0 for d.
-8, 1, 2
Factor 3*b**3/7 + 3*b**2/7 - 48*b/7 - 48/7.
3*(b - 4)*(b + 1)*(b + 4)/7
Suppose -4*w**5 + 116*w**4 - 584*w**3 - 704*w**2 = 0. What is w?
-1, 0, 8, 22
Factor 2*m**3 - 132*m**2 + 1728*m + 15552.
2*(m - 36)**2*(m + 6)
Find d, given that 5*d**3 + 225*d**2 + 840*d + 820 = 0.
-41, -2
What is w in 3*w**4/7 + 12*w**3/7 - 39*w**2/7 - 120*w/7 + 144/7 = 0?
-4, 1, 3
Factor 2*c**3 + 118*c**2 + 2190*c + 13050.
2*(c + 15)**2*(c + 29)
Factor 3*s**2 - 9*s + 6.
3*(s - 2)*(s - 1)
Factor -l**2 + 4*l.
-l*(l - 4)
Solve -5*n**5 + 2202*n**4 + 5750*n**3 + 3988*n**2 - 441*n - 886 = 0.
-1, 2/5, 443
Factor -4*v**5/5 + 10*v**4 + 26*v**3/5.
-2*v**3*(v - 13)*(2*v + 1)/5
Solve 6*x**5 - 32*x**4 + 46*x**3 + 12*x**2 - 56*x + 16 = 0 for x.
-1, 1/3, 2
Solve -y**3/5 - 104*y**2/5 + y/5 + 104/5 = 0.
-104, -1, 1
Factor 12*o**4 - 7192*o**3 + 1435200*o**2 - 95040000*o - 64000000.
4*(o - 200)**3*(3*o + 2)
Solve -5*m**5 - 30*m**4 - 20*m**3 + 30*m**2 + 25*m = 0.
-5, -1, 0, 1
Factor i**4/9 + 4*i**3/3 + 17*i**2/3 + 92*i/9 + 20/3.
(i + 2)**2*(i + 3)*(i + 5)/9
Factor -5*l**3/6 - l**2/3 + 135*l/2 + 27.
-(l - 9)*(l + 9)*(5*l + 2)/6
Factor 120*f**4 - 355*f**3 + 345*f**2 - 105*f - 5.
5*(f - 1)**3*(24*f + 1)
Factor -5*m**2 + 90*m + 200.
-5*(m - 20)*(m + 2)
Factor -p**4 - 7*p**3 - 10*p**2.
-p**2*(p + 2)*(p + 5)
Factor -4*o**3 - 132*o**2 - 956*o - 828.
-4*(o + 1)*(o + 9)*(o + 23)
Factor -4*j**4 + 84*j**3 - 492*j**2 + 748*j - 336.
-4*(j - 12)*(j - 7)*(j - 1)**2
Let -3*a**4/4 - 81*a**3/4 + 351*a**2/2 - 111*a - 306 = 0. What is a?
-34, -1, 2, 6
Find s such that 4*s**5 - 20*s**4 - 32*s**3 + 176*s**2 + 128*s - 256 = 0.
-2, 1, 4
Determine f, given that 2*f**2/3 + 16*f/3 + 8 = 0.
-6, -2
Factor -3*c**3 + 669*c**2 + 3*c - 669.
-3*(c - 223)*(c - 1)*(c + 1)
Factor -36*r**3 + 440*r**2 - 816*r + 160.
-4*(r - 10)*(r - 2)*(9*r - 2)
Let 3*m**5/2 - 18*m**4 + 84*m**3 - 192*m**2 + 216*m - 96 = 0. Calculate m.
2, 4
Factor -3*s**2 + 12*s - 9.
-3*(s - 3)*(s - 1)
Determine g so that 2*g**3/3 + 1016*g**2/3 = 0.
-508, 0
Factor 10*b**