5*k**4 - 270*k**3 + 3645*k**2.
5*k**2*(k - 27)**2
Suppose -b**2 + 10074*b - 25371369 = 0. Calculate b.
5037
Suppose 9*s**4/4 - 33*s**3/2 + 147*s**2/4 - 57*s/2 + 6 = 0. What is s?
1/3, 1, 2, 4
Find o such that -6*o**3/5 + 402*o**2/5 - 636*o + 2784/5 = 0.
1, 8, 58
Factor 2*n**2 + 42*n + 40.
2*(n + 1)*(n + 20)
Let -2*q**3/3 - 270*q**2 - 36450*q - 1640250 = 0. Calculate q.
-135
Solve 2*r**3/13 - 128*r**2/13 - 822*r/13 - 1260/13 = 0 for r.
-3, 70
Suppose -3*c**2 - 661*c - 220 = 0. What is c?
-220, -1/3
Factor -5*s**2/3 - 2215*s/3 - 2210/3.
-5*(s + 1)*(s + 442)/3
Suppose -m**3 + 4*m**2 + 37*m - 40 = 0. What is m?
-5, 1, 8
Factor 2*q**3/11 + 18*q**2/11 - 96*q/11 + 104/11.
2*(q - 2)**2*(q + 13)/11
What is h in -7*h**3/3 - 16*h**2/3 + 556*h/3 + 160/3 = 0?
-10, -2/7, 8
Factor -3*f**3/5 + 10*f**2 - 109*f/5 - 42/5.
-(f - 14)*(f - 3)*(3*f + 1)/5
Factor -f**2/2 + 152*f + 305/2.
-(f - 305)*(f + 1)/2
Factor 3*h**2 - 192*h + 3072.
3*(h - 32)**2
Find b such that -2*b**2 - 8*b + 24 = 0.
-6, 2
Factor -2*j**2 - 76*j - 144.
-2*(j + 2)*(j + 36)
Solve 5*g**3 - 75*g**2 - 90*g + 160 = 0 for g.
-2, 1, 16
Find i such that -2*i**2 - 858*i - 856 = 0.
-428, -1
Find b such that -3*b**3 - 81*b**2 - 501*b + 585 = 0.
-15, -13, 1
Determine k, given that -2*k**3/3 - 2198*k**2 - 1812800*k - 5431808/3 = 0.
-1648, -1
Solve 4*r**2 - 72*r = 0 for r.
0, 18
Factor -2*u**3/17 - 1872*u**2/17 - 584064*u/17 - 60742656/17.
-2*(u + 312)**3/17
Factor -2*s**2/5 + 4*s - 18/5.
-2*(s - 9)*(s - 1)/5
Let -t**5 - 35*t**4 + 331*t**3 - 553*t**2 + 258*t = 0. Calculate t.
-43, 0, 1, 6
Suppose -9*w**5/5 - 21*w**4 + 9*w**3 + 21*w**2 - 36*w/5 = 0. What is w?
-12, -1, 0, 1/3, 1
What is k in k**5/5 - 24*k**4/5 + 22*k**3/5 + 24*k**2/5 - 23*k/5 = 0?
-1, 0, 1, 23
Factor -2*u**2/7 - 78*u/7.
-2*u*(u + 39)/7
What is q in -84*q**5 - 1977*q**4 - 1041*q**3 - 138*q**2 = 0?
-23, -2/7, -1/4, 0
Find r such that -5*r**4 + 12*r**3 + 21*r**2 - 40*r + 12 = 0.
-2, 2/5, 1, 3
Find s such that -4*s**2 + 516*s + 1584 = 0.
-3, 132
Factor 2*b**2/11 - 118*b/11 - 120/11.
2*(b - 60)*(b + 1)/11
Let 2*m**3/9 - 2*m**2/9 - 80*m/9 + 224/9 = 0. Calculate m.
-7, 4
Solve 9*h**4 - 344*h**3 + 229*h**2 + 6626*h - 1480 = 0.
-4, 2/9, 5, 37
Factor -j**3/10 - 51*j**2/10 - 312*j/5 + 338/5.
-(j - 1)*(j + 26)**2/10
Determine q so that -3*q**5/4 + 3*q**4 + 3*q**3/4 - 3*q**2 = 0.
-1, 0, 1, 4
Find y such that -y**3/4 - 87*y**2/4 - 1935*y/4 - 1849/4 = 0.
-43, -1
Determine k, given that -24*k**4/11 + 30*k**3/11 + 60*k**2/11 - 30*k/11 - 36/11 = 0.
-1, -3/4, 1, 2
Factor -k**3 + 35*k**2.
-k**2*(k - 35)
Factor -2*f**2 - 56*f - 192.
-2*(f + 4)*(f + 24)
What is u in -4*u**5 + 69*u**4 - 13*u**3 - 69*u**2 + 17*u = 0?
-1, 0, 1/4, 1, 17
Let -8*c**4 - 84*c**3 - 112*c**2 - 36*c = 0. What is c?
-9, -1, -1/2, 0
Determine n so that -3*n**2 + 360*n - 10800 = 0.
60
Factor -14*t**2 - 132*t - 54.
-2*(t + 9)*(7*t + 3)
Factor -2*s**2/7 - 12*s + 470/7.
-2*(s - 5)*(s + 47)/7
Find k, given that -k**2/4 - 29*k/2 - 841/4 = 0.
-29
What is x in -5*x**2 + 60630*x - 183799845 = 0?
6063
Factor -9*y**3 - 2*y**2/3 + 9*y + 2/3.
-(y - 1)*(y + 1)*(27*y + 2)/3
Find m such that m**5/2 + 225*m**4 + 33750*m**3 + 1687500*m**2 = 0.
-150, 0
Let 2*z**5 - 46*z**4 + 298*z**3 - 674*z**2 + 420*z = 0. Calculate z.
0, 1, 3, 5, 14
Solve -38*u**3/9 + 232*u**2/9 - 122*u/3 + 4 = 0 for u.
2/19, 3
Determine a so that a**4/3 - 11*a**3/3 - 65*a**2/3 + 193*a - 312 = 0.
-8, 3, 13
Factor 5*x**4 - 9*x**3 - 38*x**2 - 24*x.
x*(x - 4)*(x + 1)*(5*x + 6)
Factor -5*h**3 + 215*h**2 + 445*h + 225.
-5*(h - 45)*(h + 1)**2
Suppose -5*i**3 - 130*i**2 + 755*i - 620 = 0. Calculate i.
-31, 1, 4
Suppose -2*l**2/7 - 326*l/7 + 660/7 = 0. Calculate l.
-165, 2
Factor c**5/6 + 7*c**4/6 - 17*c**3/2 + 101*c**2/6 - 41*c/3 + 4.
(c - 2)*(c - 1)**3*(c + 12)/6
Factor 121*v**2/3 + 286*v/3 + 169/3.
(11*v + 13)**2/3
Suppose -20*n**5 + 92*n**4 + 452*n**3 - 860*n**2 + 336*n = 0. Calculate n.
-4, 0, 3/5, 1, 7
Suppose -l**4/10 - 1469*l**3/10 - 71883*l**2 - 11692870*l + 11764900 = 0. Calculate l.
-490, 1
Factor t**3/8 - 43*t**2/4 + 689*t/8 + 14045/2.
(t - 53)**2*(t + 20)/8
What is d in -49*d**4/4 - 91*d**3/4 + 27*d**2/2 + 16*d - 8 = 0?
-2, -1, 4/7
Factor -20*s**3 + 255*s**2 + 665*s + 150.
-5*(s - 15)*(s + 2)*(4*s + 1)
Factor -4*k**3/9 - 40*k**2/9 + 4*k/9 + 40/9.
-4*(k - 1)*(k + 1)*(k + 10)/9
Factor 36*q**2 + 548*q + 120.
4*(q + 15)*(9*q + 2)
Factor -2*t**2/5 + 2676*t/5 - 895122/5.
-2*(t - 669)**2/5
Factor z**3/4 - z**2/2 - 2*z.
z*(z - 4)*(z + 2)/4
Suppose 4*t**2/7 - 64*t/7 + 256/7 = 0. Calculate t.
8
Determine j so that 10*j**5/7 + 8*j**4 + 86*j**3/7 + 16*j**2/7 - 24*j/7 = 0.
-3, -2, -1, 0, 2/5
Let -g**2/2 - 22*g - 43/2 = 0. Calculate g.
-43, -1
Solve 4*r**2 - 500*r - 1536 = 0.
-3, 128
Factor -c**2/6.
-c**2/6
What is u in -5*u**4 - 290*u**3 + 295*u**2 = 0?
-59, 0, 1
Factor 5*n**5/3 + 125*n**4/3 - 265*n**3/3 + 45*n**2.
5*n**2*(n - 1)**2*(n + 27)/3
Factor -9*j**2/2 - 69*j/2 - 63.
-3*(j + 3)*(3*j + 14)/2
Factor 4*k**5 - 8*k**4 - 12*k**3 + 32*k**2 - 16*k.
4*k*(k - 2)*(k - 1)**2*(k + 2)
Factor 5*i**2/2 + 31445*i + 197757605/2.
5*(i + 6289)**2/2
Find c such that c**5/8 - 17*c**4/8 + 10*c**3 - 8*c**2 = 0.
0, 1, 8
Determine d so that 4*d**4/5 + 144*d**3/5 + 716*d**2/5 - 144*d/5 - 144 = 0.
-30, -6, -1, 1
Factor 5*u**3 + 280*u**2 + 275*u.
5*u*(u + 1)*(u + 55)
Solve -2*g**2 + 164*g - 162 = 0.
1, 81
Factor -2*g**3/11 - 24*g**2/11 - 64*g/11.
-2*g*(g + 4)*(g + 8)/11
Suppose 2*y**2/3 + 1168*y/3 + 170528/3 = 0. Calculate y.
-292
Factor -3*a**5 - 750*a**4 - 47616*a**3 - 92256*a**2.
-3*a**2*(a + 2)*(a + 124)**2
Find d such that -4*d**3 - 56*d**2 - 196*d = 0.
-7, 0
Solve c**5/4 - 3*c**4 + 35*c**3/4 + 3*c**2 - 9*c = 0.
-1, 0, 1, 6
Solve 2*k**4/7 + 128*k**3/7 + 1774*k**2/7 - 8840*k/7 + 6936/7 = 0.
-34, 1, 3
Let -2*j**5/19 + 20*j**4/19 + 4*j**3 + 32*j**2/19 - 74*j/19 - 52/19 = 0. Calculate j.
-2, -1, 1, 13
Find a, given that 3*a**2 + 84*a + 156 = 0.
-26, -2
Solve 2*h**2/7 - 152*h/7 - 312/7 = 0 for h.
-2, 78
Factor x**4 - 6*x**3 + 9*x**2 - 4*x.
x*(x - 4)*(x - 1)**2
Let -9*n**4/5 + 2*n**3/5 + 9*n**2/5 - 2*n/5 = 0. Calculate n.
-1, 0, 2/9, 1
Factor -2*x**4/17 + 24*x**2/17 + 32*x/17.
-2*x*(x - 4)*(x + 2)**2/17
Factor 14*x**4 + 8*x**3 - 42*x**2 + 4*x + 16.
2*(x - 1)**2*(x + 2)*(7*x + 4)
Let -2*x**3 - 128*x**2 - 2538*x - 14580 = 0. Calculate x.
-27, -10
Find o, given that 3*o**3 - 2241*o**2 - 9012*o = 0.
-4, 0, 751
Suppose -y**5/3 - y**4 + 6*y**3 = 0. Calculate y.
-6, 0, 3
Suppose 3*j**4 - 9*j**2 + 6*j = 0. Calculate j.
-2, 0, 1
Let 2*p**2/5 + 2*p - 12/5 = 0. Calculate p.
-6, 1
Factor 2*d**3/5 + 16*d**2/5 + 42*d/5 + 36/5.
2*(d + 2)*(d + 3)**2/5
Suppose 11236*k**4 - 133984*k**3 + 394336*k**2 + 30336*k + 576 = 0. Calculate k.
-2/53, 6
Factor 2*m**2/7 + 554*m/7 + 552/7.
2*(m + 1)*(m + 276)/7
Factor -s**5/4 - 1249*s**4/2 - 520416*s**3 - 145020928*s**2 - 287965184*s.
-s*(s + 2)*(s + 832)**3/4
Factor -s**2/3 + 26*s/3 + 56/3.
-(s - 28)*(s + 2)/3
Determine j so that -j**4 + 52*j**3 - 99*j**2 - 52*j + 100 = 0.
-1, 1, 2, 50
Factor n**3/5 - 2*n**2 + 24*n/5.
n*(n - 6)*(n - 4)/5
Factor -5*h**4 - 160*h**3 + 5*h**2 + 160*h.
-5*h*(h - 1)*(h + 1)*(h + 32)
Suppose 82*a**2 - 4762*a + 348 = 0. Calculate a.
3/41, 58
Factor -w**2/2 + 85*w - 501/2.
-(w - 167)*(w - 3)/2
Suppose w**3 - 3*w**2/5 - 32*w/5 - 12/5 = 0. Calculate w.
-2, -2/5, 3
Suppose -2*p**3/9 - 2*p**2/9 + 10*p/9 - 2/3 = 0. Calculate p.
-3, 1
Let -2*q**3/5 - 284*q**2/5 - 112*q = 0. Calculate q.
-140, -2, 0
Suppose 6*l**5 - 31*l**4 + 23*l**3 + 27*l**2 - 29*l + 4 = 0. Calculate l.
-1, 1/6, 1, 4
Factor -6*y**4 - 8*y**3 + 4*y**2/3 + 8*y/3 - 2/3.
-2*(y + 1)**2*(3*y - 1)**2/3
Let 2*n**2/5 - 568*n/5 + 1686/5 = 0. Calculate n.
3, 281
Solve 3*o**2 + 1416*o + 167088 = 0 for o.
-236
Factor 11*v**3/10 - 13*v**2/10 - 32*v/5 + 6/5.
(v - 3)*(v + 2)*(11*v - 2)/10
Suppose -z**3/4 - 19*z**2/4 - 25*z/2 - 8 = 0. Calculate z.
-16, -2, -1
Determine i so that -2*i**2/13 - 18*i/13 + 72/13 = 0.
-12, 3
Factor 2*k**4/15 + 14*k**3 + 2624*k**2/5 + 120832*k/15 + 196608/5.
2*(k + 9)*(k + 32)**3/15
Suppose o**5/4 - 13*o**4/2 - 117*o**3/4 - 47*o**2/2 + 29*o + 30 = 0. Calculate o.
-2, -1, 1, 30
Determine r, given that r**4 + 58*r**3 + 993*r**2 + 4316*r + 3380 = 0.
-26, -5, -1
Let u**2/4 + u/2 - 2 = 0. What is u?
-4, 2
Solve 2*i**5/7 + 2*i**4/7 - 6*i**3/7 - 2*i**2/7 + 4*i