that -5*c**2 + 1550*c - 120125 = 0.
155
Solve a**3/4 + a**2/4 - a/2 = 0 for a.
-2, 0, 1
Determine h so that -3*h**4 + 33*h**3 = 0.
0, 11
Suppose p**5/2 - 11*p**4/2 + 23*p**3/2 + 47*p**2/2 - 12*p - 18 = 0. What is p?
-1, 1, 6
Solve -27*v**2/5 + 249*v/5 - 264/5 = 0 for v.
11/9, 8
Factor -g**3 - 507*g**2 - 63495*g + 195075.
-(g - 3)*(g + 255)**2
Find z, given that -3*z**3 - 42*z**2 - 153*z - 162 = 0.
-9, -3, -2
Find y, given that 2*y**4/13 - 56*y**3/13 + 502*y**2/13 - 1840*y/13 + 2400/13 = 0.
4, 5, 15
Let -2*b**5/9 - 500*b**4/9 - 10582*b**3/3 - 62000*b**2/9 - 30752*b/9 = 0. What is b?
-124, -1, 0
Factor -3*h**2/5 + 36*h/5 - 81/5.
-3*(h - 9)*(h - 3)/5
Let 3*l**2 + 120*l + 1200 = 0. Calculate l.
-20
Find x such that x**2/4 - 3*x/4 - 1 = 0.
-1, 4
Factor 3*v**3 - 9*v**2 - 135*v - 243.
3*(v - 9)*(v + 3)**2
Suppose -166*l**2/3 + l = 0. Calculate l.
0, 3/166
Find n such that -5*n**4 + 245*n**3 - 1100*n**2 = 0.
0, 5, 44
Determine v, given that 4*v**3 + 564*v**2 + 1116*v + 556 = 0.
-139, -1
Factor -10*u**2 + 258*u - 1008.
-2*(u - 21)*(5*u - 24)
Factor 3*y**2/8 + 45*y/8 + 33/2.
3*(y + 4)*(y + 11)/8
Let 4*k**3 - 124*k**2 - 400*k - 272 = 0. Calculate k.
-2, -1, 34
Suppose 12*b**3 - 112*b**2 - 48*b + 448 = 0. What is b?
-2, 2, 28/3
Suppose -4*a**5 + 8*a**4 + 48*a**3 - 32*a**2 - 128*a = 0. What is a?
-2, 0, 2, 4
Solve -8*i**5/15 + 38*i**3/15 + 2*i**2/15 - 8*i/5 - 8/15 = 0 for i.
-2, -1/2, 1, 2
Suppose 16*t**5 - 488*t**4 + 2337*t**3 - 3478*t**2 + 1331*t - 150 = 0. What is t?
1/4, 2, 3, 25
Factor g**4 - 9*g**3/4 - 5*g**2/2 + 3*g/4.
g*(g - 3)*(g + 1)*(4*g - 1)/4
Determine a so that -99*a**4 - 192*a**3 + 6249*a**2 - 378*a = 0.
-9, 0, 2/33, 7
Determine o so that 5*o**4 + 385*o**3 + 7500*o**2 - 380*o - 144400 = 0.
-38, -5, 4
Factor 3*p**3/7 - 48*p**2/7 + 192*p/7.
3*p*(p - 8)**2/7
Suppose 36*s**5 + 75*s**4 - 29*s**3 - 78*s**2 - 12*s + 8 = 0. What is s?
-2, -2/3, 1/4, 1
Factor 8*q**3 - 2*q**2 - 8*q + 2.
2*(q - 1)*(q + 1)*(4*q - 1)
Factor 2*k**2/3 - 790*k/3 + 524.
2*(k - 393)*(k - 2)/3
Factor x**3/5 + 3*x**2 + 66*x/5 + 16.
(x + 2)*(x + 5)*(x + 8)/5
Solve -5*f**4 - 40*f**3 - 85*f**2 - 50*f = 0 for f.
-5, -2, -1, 0
Factor -5*a**3/2 + 35*a**2/3 - 85*a/6 + 5.
-5*(a - 3)*(a - 1)*(3*a - 2)/6
Factor 3*m**2/5 + 27*m/5 + 12.
3*(m + 4)*(m + 5)/5
Factor -y**2/6 + y/6 + 1/3.
-(y - 2)*(y + 1)/6
Determine d, given that -2*d**3/5 + 26*d**2/5 - 4*d - 48/5 = 0.
-1, 2, 12
Find z such that -476*z**5 + 1900*z**4 - 1888*z**3 - 16*z**2 = 0.
-1/119, 0, 2
Factor v**4/5 - 7*v**3/5 - 23*v**2 + 247*v/5 - 126/5.
(v - 14)*(v - 1)**2*(v + 9)/5
Find g such that -g**2/3 - 10*g + 64/3 = 0.
-32, 2
Find k such that 4*k**3 - 276*k**2 - 1156*k - 876 = 0.
-3, -1, 73
Factor x**4 - 78*x**3 + 2268*x**2 - 29160*x + 139968.
(x - 24)*(x - 18)**3
Factor -2*a**2 + 3260*a - 1328450.
-2*(a - 815)**2
Factor 55*p**3 - 105*p**2 + 50*p.
5*p*(p - 1)*(11*p - 10)
Find g such that 3*g**2 - 93*g + 174 = 0.
2, 29
Find m, given that 3*m**2 - 456*m - 1395 = 0.
-3, 155
Determine s so that -11*s**3/6 + 35*s**2/6 + 382*s/3 - 70/3 = 0.
-7, 2/11, 10
Determine j, given that -3*j**2/2 + 6*j - 9/2 = 0.
1, 3
Factor 4*v**2 + 128*v - 740.
4*(v - 5)*(v + 37)
What is i in -i**3 + 65*i**2 - 306*i + 360 = 0?
2, 3, 60
Determine u, given that 4*u**2 - 88*u - 3116 = 0.
-19, 41
Factor 2*g**4/9 + 8*g**3/9 - 26*g**2/9 - 80*g/9 + 32/3.
2*(g - 3)*(g - 1)*(g + 4)**2/9
Find k such that -2*k**2/3 + 106*k/3 - 104/3 = 0.
1, 52
Factor -w**3/2 - 13*w**2/2 + 7*w.
-w*(w - 1)*(w + 14)/2
Determine t so that -t**3 + 1791*t**2/5 - 160563*t/5 + 32041/5 = 0.
1/5, 179
Suppose -2*i**5/5 - 4*i**4/5 + 38*i**3/5 - 56*i**2/5 + 24*i/5 = 0. Calculate i.
-6, 0, 1, 2
Factor 4*d**3 - 332*d**2 - 1376*d - 1392.
4*(d - 87)*(d + 2)**2
Factor -2*k**3 + 16*k**2 - 32*k.
-2*k*(k - 4)**2
Determine w, given that -w**2/3 - 275*w/3 + 92 = 0.
-276, 1
Solve -12*f**4 + 2840*f**3 + 9564*f**2 + 8632*f + 1920 = 0 for f.
-2, -1, -1/3, 240
Solve -5*o**3 + 15*o**2 + 30*o - 40 = 0.
-2, 1, 4
Factor -l**3 - 8*l**2 + 64*l + 512.
-(l - 8)*(l + 8)**2
Solve 2*s**2 - 78*s + 396 = 0 for s.
6, 33
Let 3*c**3/2 + 2013*c**2/2 + 4017*c/2 + 2007/2 = 0. Calculate c.
-669, -1
Factor 2*k**3/5 + 268*k**2/5 - 110*k - 816/5.
2*(k - 3)*(k + 1)*(k + 136)/5
Suppose -16471125*g**2 + 36300*g - 20 = 0. What is g?
2/1815
Factor -5*j**3 + 45*j**2 - 135*j + 135.
-5*(j - 3)**3
Suppose -h**2 - 1884*h - 3764 = 0. Calculate h.
-1882, -2
Factor 2*p**3/15 - 40*p**2/3 - 418*p/5 - 636/5.
2*(p - 106)*(p + 3)**2/15
Factor -o**3/2 + 17*o**2 + 75*o/2 - 54.
-(o - 36)*(o - 1)*(o + 3)/2
What is w in -w**2/5 + 64*w/5 + 201/5 = 0?
-3, 67
Factor 2*w**5/3 + 50*w**4/3 + 144*w**3 + 1408*w**2/3 + 1024*w/3.
2*w*(w + 1)*(w + 8)**3/3
Factor -2*x**3/5 - 11028*x**2/5 - 20269464*x/5 - 12418424944/5.
-2*(x + 1838)**3/5
Let 2*p**5 - 6*p**4/7 - 6*p**3 - 10*p**2/7 + 12*p/7 = 0. Calculate p.
-1, 0, 3/7, 2
Find c, given that -16*c**5 + 420*c**4 - 1272*c**3 - 19676*c**2 - 31872*c + 9216 = 0.
-3, 1/4, 16
Factor -2*m**4/25 - 14*m**3/25 - 32*m**2/25 - 24*m/25.
-2*m*(m + 2)**2*(m + 3)/25
Suppose 162*q**3 - 2232*q**2 - 11590*q - 12996 = 0. What is q?
-19/9, 18
Solve f**3 - 22*f**2 - 295*f - 800 = 0 for f.
-5, 32
Factor k**2/2 - k - 15/2.
(k - 5)*(k + 3)/2
Determine t, given that -2*t**4 + 46*t**3 - 372*t**2 + 1280*t - 1600 = 0.
4, 5, 10
Factor 4*k**2 - 11632*k + 8456464.
4*(k - 1454)**2
Let -2*w**4 + 132*w**3 + 552*w**2 + 560*w = 0. What is w?
-2, 0, 70
Factor b**4/2 - 16*b**3 + 333*b**2/2 - 665*b + 784.
(b - 16)*(b - 7)**2*(b - 2)/2
What is g in -g**2 + 6348*g - 10074276 = 0?
3174
What is u in 2*u**4 - 260*u**3 + 8186*u**2 + 17160*u + 8712 = 0?
-1, 66
Factor 4*w**2 - 216*w + 2240.
4*(w - 40)*(w - 14)
Solve -2*j**2/9 + 2*j = 0.
0, 9
Find q such that -q**2/8 - 2797*q/8 + 1399/4 = 0.
-2798, 1
Solve 5*i**4 + 180*i**3 + 1220*i**2 - 7200*i + 8000 = 0.
-20, 2
Suppose 4*g**2 + 4124*g = 0. What is g?
-1031, 0
Factor -s**2/8 + s/8 + 1/4.
-(s - 2)*(s + 1)/8
Factor -16*o**2 + 546*o + 1080.
-2*(o - 36)*(8*o + 15)
Let -25*q**2/3 + 9*q - 2/3 = 0. Calculate q.
2/25, 1
Find u such that u**5 + 15*u**4 + 18*u**3 - 104*u**2 = 0.
-13, -4, 0, 2
Solve s**3/10 + 4*s**2/5 + 3*s/2 = 0.
-5, -3, 0
Factor -s**4/10 + s**3/10 + 3*s**2/10 - s/10 - 1/5.
-(s - 2)*(s - 1)*(s + 1)**2/10
Factor -3*r**2/7 - 582*r/7 - 8544/7.
-3*(r + 16)*(r + 178)/7
Find u, given that -2*u**3/9 + 16*u**2/9 - 8*u/3 = 0.
0, 2, 6
Find r, given that 2*r**2/15 + 2*r/15 - 8/5 = 0.
-4, 3
Factor 3*l**2/2 + 789*l/2 - 396.
3*(l - 1)*(l + 264)/2
Let -s**3/4 - 47*s**2/4 - 475*s/4 + 1875/4 = 0. Calculate s.
-25, 3
Factor 9*j**3 - 33*j**2 + 15*j + 9.
3*(j - 3)*(j - 1)*(3*j + 1)
Factor -3*d**2 + 342*d - 339.
-3*(d - 113)*(d - 1)
Let -42*v**5/13 - 2056*v**4/13 + 11302*v**3/13 - 8196*v**2/13 - 16920*v/13 - 3888/13 = 0. What is v?
-54, -2/3, -2/7, 3
Factor 2*b**5/7 + 48*b**4/7 - 156*b**3/7 + 160*b**2/7 - 54*b/7.
2*b*(b - 1)**3*(b + 27)/7
What is x in 60*x**4 - 1079*x**3/6 - x**2/2 + 240*x + 2/3 = 0?
-1, -1/360, 2
Factor 112*r**3/3 + 10*r**2/3 - 112*r/3 - 10/3.
2*(r - 1)*(r + 1)*(56*r + 5)/3
Suppose -2*q**5 + 2*q**4 + 4*q**3 - 4*q**2 - 2*q + 2 = 0. Calculate q.
-1, 1
Factor -3*p**3/8 - 45*p**2/8 - 81*p/8 - 39/8.
-3*(p + 1)**2*(p + 13)/8
Suppose 5*a**3 + 10*a**2 - 80*a - 160 = 0. What is a?
-4, -2, 4
Let -10*q**4/3 - 84*q**3 - 7418*q**2/15 + 2184*q/5 - 1352/15 = 0. Calculate q.
-13, 2/5
Factor 5*d**2 + 45*d + 70.
5*(d + 2)*(d + 7)
Factor -5*o**3/2 - 85*o**2/2 - 205*o - 300.
-5*(o + 3)*(o + 4)*(o + 10)/2
Solve -4*g**3 + 24*g**2 + 52*g - 168 = 0.
-3, 2, 7
Find f, given that 2*f**2 - 1556*f + 1554 = 0.
1, 777
Factor -3*l**4 + 21*l**3 + 576*l**2 + 2052*l.
-3*l*(l - 19)*(l + 6)**2
Determine d so that -15*d**4/4 - 237*d**3/2 - 1533*d**2/4 - 285*d/2 + 126 = 0.
-28, -3, -1, 2/5
What is o in -2*o**5 - 6*o**4 + 58*o**3 + 54*o**2 - 560*o + 600 = 0?
-5, 2, 3
Factor -5*u**3 + 415*u**2 + 845*u + 425.
-5*(u - 85)*(u + 1)**2
Solve -81*p**4 - 1215*p**3 + 27*p**2 + 411*p + 90 = 0.
-15, -1/3, 2/3
Let 2*w**4/3 + 14*w**3/3 + 32*w**2/3 + 8*w = 0. What is w?
-3, -2, 0
Let -k**4 + 91*k**3/2 - 133*k**2/2 + 22*k = 0. What is k?
0, 1/2, 1, 44
Find y, given that -y**2/3 + 52*y/3 = 0.
0, 52
What is g in -3*g**5/4 + 3*g**4 + 9*g**3 - 51*g**2/2 - 33*g/4 + 45/2 = 0?
-3, -1, 1, 2, 5
Factor 3*d**3 + 4278*d**2 - 17148*d + 17160.
3*(d - 2)**2*(d + 1430)
Factor 4*r**3 +