tor -3*k**4 - 12*k**3 - 9*k**2 + 12*k + 12.
-3*(k - 1)*(k + 1)*(k + 2)**2
Let -4*b**4 - 264*b**3 + 2604*b**2 - 7136*b + 4800 = 0. Calculate b.
-75, 1, 4
Factor 580*n**2 - 1168*n + 16.
4*(n - 2)*(145*n - 2)
Factor a**2 - 24*a.
a*(a - 24)
Suppose -5043*b**5 + 14637*b**4 + 1464*b**3 - 20136*b**2 - 1968*b - 48 = 0. Calculate b.
-1, -2/41, 2
Let 4*r**2 - 132*r = 0. What is r?
0, 33
Find f such that 4*f**5/5 - 16*f**4/5 + 24*f**3/5 - 16*f**2/5 + 4*f/5 = 0.
0, 1
Factor 3*b**5/7 + 2679*b**4/7 + 8019*b**3/7 + 8013*b**2/7 + 2670*b/7.
3*b*(b + 1)**3*(b + 890)/7
Factor 157922*u**2/3 + 2248*u/3 + 8/3.
2*(281*u + 2)**2/3
Let -n**5 + 23*n**4 - 208*n**3 + 928*n**2 - 2048*n + 1792 = 0. What is n?
4, 7
Let 4*m**5/9 - 26*m**4/9 - 112*m**3/9 + 686*m**2/9 + 136*m/3 - 40 = 0. What is m?
-5, -1, 1/2, 6
Solve -l**5 - 2*l**4 + 2*l**3 + 4*l**2 - l - 2 = 0.
-2, -1, 1
Suppose -q**2 - 82*q - 160 = 0. Calculate q.
-80, -2
Suppose 2*k**2/7 + 12*k/7 + 10/7 = 0. Calculate k.
-5, -1
Determine h so that -3*h**2 - 57*h + 126 = 0.
-21, 2
Factor -q**2/4 - 4633*q/2 - 21464689/4.
-(q + 4633)**2/4
Suppose -4*b**4/9 - 64*b**3/9 - 20*b**2 + 72*b = 0. Calculate b.
-9, 0, 2
Factor y**3 + 8*y**2 - 5*y - 84.
(y - 3)*(y + 4)*(y + 7)
Determine a so that 2*a**3/5 - 146*a**2/5 + 1486*a/5 - 1342/5 = 0.
1, 11, 61
Factor -2*v**4/9 - 14*v**3/9 - 8*v**2/3.
-2*v**2*(v + 3)*(v + 4)/9
Factor -y**5/3 + 4*y**3/3.
-y**3*(y - 2)*(y + 2)/3
Suppose -6*c**4/7 - 20*c**3/7 + 30*c**2/7 + 60*c/7 + 16/7 = 0. What is c?
-4, -1, -1/3, 2
Let 6845*c**4 - 12580*c**3 + 4670*c**2 + 1020*c + 45 = 0. What is c?
-3/37, 1
Suppose c**5 - 15*c**4 + 67*c**3 - 129*c**2 + 112*c - 36 = 0. What is c?
1, 2, 9
Factor 4*n**3 + 24*n**2 + 48*n + 32.
4*(n + 2)**3
Solve 36*a**4 - 1264*a**3/7 - 232*a**2/7 + 1264*a/7 - 20/7 = 0 for a.
-1, 1/63, 1, 5
Determine t, given that 6*t**3 - 58*t**2 + 34*t + 18 = 0.
-1/3, 1, 9
Factor -2*b**4/5 - 4*b**3/5 + 2*b**2 + 12*b/5.
-2*b*(b - 2)*(b + 1)*(b + 3)/5
Let -2*j**4 - 68*j**3 - 504*j**2 - 1404*j - 1350 = 0. Calculate j.
-25, -3
Let -2*g**5/11 - 40*g**4/11 - 26*g**3 - 848*g**2/11 - 840*g/11 = 0. Calculate g.
-7, -6, -5, -2, 0
Solve j**3 - 3*j**2/4 - j/4 = 0.
-1/4, 0, 1
Factor -4*k**4 - 20*k**3 + 4*k**2 + 20*k.
-4*k*(k - 1)*(k + 1)*(k + 5)
Factor -s**3/7 - 24*s**2/7 - 83*s/7 - 60/7.
-(s + 1)*(s + 3)*(s + 20)/7
Factor -i**4 - 33*i**3 - 231*i**2 + 565*i - 300.
-(i - 1)**2*(i + 15)*(i + 20)
Find y such that -2*y**3 - 430*y**2 - 1264*y + 1696 = 0.
-212, -4, 1
Factor 5*r**2 + 30*r + 25.
5*(r + 1)*(r + 5)
Suppose 2*t**5/11 - 2*t**4/11 - 6*t**3/11 + 2*t**2/11 + 4*t/11 = 0. What is t?
-1, 0, 1, 2
Let -2*b**5/9 - 10*b**4/9 + 26*b**3/9 - 14*b**2/9 = 0. What is b?
-7, 0, 1
Suppose -5*k**3/6 - 130*k**2/3 - 920*k/3 - 1760/3 = 0. What is k?
-44, -4
Find h such that -h**3/3 + 26*h**2/3 - 49*h/3 + 8 = 0.
1, 24
Factor 246*r**5 + 496*r**4 + 254*r**3 + 4*r**2.
2*r**2*(r + 1)**2*(123*r + 2)
Let 2*m**4 + 72*m**3 + 646*m**2 - 72*m - 648 = 0. What is m?
-18, -1, 1
Find v, given that 2*v**5/9 + 14*v**4/9 - 2*v**3/9 - 14*v**2/9 = 0.
-7, -1, 0, 1
Suppose -2*j**2/3 - 3104*j/3 - 1204352/3 = 0. Calculate j.
-776
Factor -18*p**4/5 - 30*p**3 + 106*p**2/5 - 18*p/5.
-2*p*(p + 9)*(3*p - 1)**2/5
Factor r**4 + 94*r**3 + 2208*r**2 - 94*r - 2209.
(r - 1)*(r + 1)*(r + 47)**2
Factor 2*u**4/7 + 20*u**3/7 + 46*u**2/7 + 4*u.
2*u*(u + 1)*(u + 2)*(u + 7)/7
Factor -x**3/5 - 7*x**2/5 - 6*x/5.
-x*(x + 1)*(x + 6)/5
Solve 4*s**2 + 1316*s + 5200 = 0.
-325, -4
Factor -5*i**2 + 590*i - 1160.
-5*(i - 116)*(i - 2)
Solve 2*n**3/7 - 26*n/7 - 24/7 = 0.
-3, -1, 4
Determine z, given that z**3 - 19*z**2 - 41*z - 21 = 0.
-1, 21
Determine v, given that 6*v**4/5 + 22*v**3 + 138*v**2/5 + 34*v/5 = 0.
-17, -1, -1/3, 0
Factor -w**4/2 - 54*w**3 - 2187*w**2 - 39366*w - 531441/2.
-(w + 27)**4/2
Factor a**2 - 1342*a + 450241.
(a - 671)**2
Find z such that 2*z**2 + 624*z + 1854 = 0.
-309, -3
Let -o**3 + 3257*o**2 - 6511*o + 3255 = 0. Calculate o.
1, 3255
What is y in -2*y**3 + 2328*y**2 + 14022*y + 21060 = 0?
-3, 1170
Solve -2*x**4/5 + 42*x**3/5 - 54*x**2 + 702*x/5 - 648/5 = 0.
3, 12
Find x such that -x**3 + 2*x**2 + 3*x = 0.
-1, 0, 3
What is q in -q**5 + 51*q**4 - 675*q**3 + 625*q**2 = 0?
0, 1, 25
Solve -25*o**5 - 20*o**4 + 30*o**3 + 20*o**2 - 5*o = 0 for o.
-1, 0, 1/5, 1
Factor 2*a**2 - 58*a + 156.
2*(a - 26)*(a - 3)
Factor 2*s**4 - 68*s**3 + 506*s**2 + 1224*s + 648.
2*(s - 18)**2*(s + 1)**2
Factor b**3/4 + 39*b**2/4 - 42*b + 43.
(b - 2)**2*(b + 43)/4
Factor 2*c**2/7 + 12*c/7 - 144/7.
2*(c - 6)*(c + 12)/7
Suppose 5*r**2 + 455*r + 450 = 0. Calculate r.
-90, -1
Find k, given that 21*k**5 - 27*k**4 - 267*k**3 + 99*k**2 + 246*k - 72 = 0.
-3, -1, 2/7, 1, 4
Let 3*r**3/7 - 33*r**2/7 + 90*r/7 = 0. Calculate r.
0, 5, 6
Factor -2*d**4/9 + 10*d**3/3 - 6*d**2 + 26*d/9.
-2*d*(d - 13)*(d - 1)**2/9
Factor -k**4/7 - 2*k**3/7 + 4*k**2/7 + 8*k/7.
-k*(k - 2)*(k + 2)**2/7
Solve 5*s**4 - 25*s**3 - 705*s**2 - 2675*s - 2000 = 0 for s.
-5, -1, 16
Factor -2*m**2/17 - 224*m/17 + 928/17.
-2*(m - 4)*(m + 116)/17
Let 2*b**3/5 - 2*b**2/5 - 12*b = 0. What is b?
-5, 0, 6
Solve -2*n**4/3 - 8*n**3/3 + 40*n**2 - 64*n/3 - 640/3 = 0.
-10, -2, 4
Factor -b**4/3 - 238*b**3 - 42483*b**2.
-b**2*(b + 357)**2/3
Let -d**3 + 2*d**2 + d - 2 = 0. What is d?
-1, 1, 2
Factor 3*j**2 + 1704*j + 3396.
3*(j + 2)*(j + 566)
Solve 2*k**2 - 760*k + 1512 = 0.
2, 378
Factor -2*r**3/9 - 26*r**2/9 - 10*r/3 + 42.
-2*(r - 3)*(r + 7)*(r + 9)/9
Factor -4*r**3/5 + 704*r**2/5 - 6596*r + 34680.
-4*(r - 85)**2*(r - 6)/5
Suppose 2*t**2/5 + 498*t/5 + 496/5 = 0. Calculate t.
-248, -1
Find i such that -i**4 - 20*i**3/3 + 11*i**2 + 2*i - 16/3 = 0.
-8, -2/3, 1
Factor -a**4/7 + 29*a**3/7 + 93*a**2/7 + 95*a/7 + 32/7.
-(a - 32)*(a + 1)**3/7
Find w such that 2*w**3 + 10*w**2 + 16*w + 8 = 0.
-2, -1
Solve -1006150280*f**3 + 5150940*f**2 - 8790*f + 5 = 0.
1/586
Find o such that -4*o**4 + 8428*o**3 - 5922072*o**2 + 1389707280*o - 1383793632 = 0.
1, 702
Factor 5*z**2 + 2025*z - 2030.
5*(z - 1)*(z + 406)
Let w**3/2 - 11*w**2 - 47*w/2 - 12 = 0. Calculate w.
-1, 24
Determine i, given that -3*i**3/7 + 513*i**2/7 + 1560*i/7 + 1044/7 = 0.
-2, -1, 174
Suppose 49*g**3/4 - 539*g**2/2 - 1117*g/4 - 115/2 = 0. Calculate g.
-5/7, -2/7, 23
Solve 4*q**3/7 - 18*q**2 + 42*q - 116/7 = 0 for q.
1/2, 2, 29
Factor -16*m**2 + 1116*m + 280.
-4*(m - 70)*(4*m + 1)
Let -2*v**3/11 - 26*v**2/11 + 128*v/11 - 136/11 = 0. Calculate v.
-17, 2
Factor 3*d**3 + 513*d**2 + 21672*d - 22188.
3*(d - 1)*(d + 86)**2
Let 12*p**5/5 - 21*p**4/5 - 30*p**3 - 204*p**2/5 - 102*p/5 - 3 = 0. Calculate p.
-1, -1/4, 5
Let 4*r**2/7 + 320*r/7 + 6400/7 = 0. Calculate r.
-40
Factor c**4/3 - 1061*c**3/3 + 281960*c**2/3 - 280900*c/3.
c*(c - 530)**2*(c - 1)/3
Solve -4*h**3 - 392*h**2 - 9984*h - 18432 = 0.
-48, -2
Factor -g**2 - 16*g + 17.
-(g - 1)*(g + 17)
Factor -2*v**3 + 260*v**2 - 8450*v.
-2*v*(v - 65)**2
Determine p, given that 4*p**4 + 4*p**3 = 0.
-1, 0
Factor -3*p**2/7 + 9102*p/7 - 6903867/7.
-3*(p - 1517)**2/7
Let -6*l**3 + 20*l**2 - 37*l/6 + 1/2 = 0. Calculate l.
1/6, 3
Factor f**3/11 + 21*f**2/11 + 72*f/11 + 68/11.
(f + 2)**2*(f + 17)/11
Find q, given that q**4 - 18*q**2 - 32*q - 15 = 0.
-3, -1, 5
Find v such that 5*v**5 - 30*v**4 + 60*v**3 - 50*v**2 + 15*v = 0.
0, 1, 3
Let -6*k**5/11 + 16*k**4/11 - 14*k**3/11 + 4*k**2/11 = 0. Calculate k.
0, 2/3, 1
Factor 5*b**5/6 + 10*b**4/3 + 10*b**3/3 - 5*b**2/3 - 25*b/6 - 5/3.
5*(b - 1)*(b + 1)**3*(b + 2)/6
Determine t, given that -5*t**4 - 20*t**3 - 30*t**2 - 20*t - 5 = 0.
-1
Factor 4*r**3 - 352*r**2 + 3792*r - 10944.
4*(r - 76)*(r - 6)**2
Determine v, given that -98*v**4 + 3514*v**3 + 584*v**2 - 2848*v - 1152 = 0.
-4/7, 1, 36
Find s such that -2*s**2/9 - 44*s/3 - 242 = 0.
-33
Determine w so that 2*w**3 - 256*w**2 + 8192*w = 0.
0, 64
Let 2*i**5/3 - 29*i**4/3 + 27*i**3 + 176*i**2/3 + 64*i/3 = 0. What is i?
-1, -1/2, 0, 8
Factor -t**4 + 4*t**3 + 21*t**2 + 4*t - 28.
-(t - 7)*(t - 1)*(t + 2)**2
Factor -o**4/3 - 5*o**3 - 38*o**2/3 - 8*o.
-o*(o + 1)*(o + 2)*(o + 12)/3
Determine c so that -117045*c**4 + 223380*c**3 - 95870*c**2 - 10220*c - 245 = 0.
-7/153, 1
Find x, given that -196*x**3 - 188*x**2 + 8*x = 0.
-1, 0, 2/49
Solve -2*i**4/5 + 2*i**3/5 + 4*i**2 - 8*i/5 - 48/5 = 0.
-2, 2, 3
Factor j**3/5 - 59*j**2 - 1797*j/5 - 2709/5.
(j - 301)*(j + 3)**2/5
Factor -2*s**3 +