culate l.
-1, 2, 4, 77
Determine z, given that -2*z**2 - 3020*z - 1140050 = 0.
-755
Factor -16*m**3/3 + 76*m**2/3 - 112*m/3 + 16.
-4*(m - 2)**2*(4*m - 3)/3
Let 4*s**2 - 116*s + 112 = 0. What is s?
1, 28
Let -2*c**5/17 + 2*c**4/17 = 0. What is c?
0, 1
Let f**5 - 17*f**4 - 35*f**3 + 1657*f**2 - 6446*f + 4840 = 0. Calculate f.
-10, 1, 4, 11
Suppose -3*q**2 - 33*q + 126 = 0. Calculate q.
-14, 3
Determine s, given that -2*s**4 - 7*s**3 - 2*s**2 + 3*s = 0.
-3, -1, 0, 1/2
What is s in -4*s**2 - 1040*s - 67600 = 0?
-130
Find y such that -2*y**3/7 + 754*y**2/7 + 1514*y/7 + 758/7 = 0.
-1, 379
Factor 4*o**2 - 32*o - 80.
4*(o - 10)*(o + 2)
Factor -4*r**3 - 128*r**2 - 1024*r.
-4*r*(r + 16)**2
Factor -2*j**3/17 - 2*j**2/17 + 240*j/17 - 936/17.
-2*(j - 6)**2*(j + 13)/17
Determine b so that 4*b**2 - 852*b + 848 = 0.
1, 212
Factor -o**5/3 - 14*o**4 - 704*o**3/3 - 5888*o**2/3 - 8192*o - 40960/3.
-(o + 8)**4*(o + 10)/3
Factor -5*k**2 - 91750*k - 420903125.
-5*(k + 9175)**2
Suppose q**4/6 + 3*q**3 - 167*q**2/6 + 36*q + 200/3 = 0. Calculate q.
-25, -1, 4
Solve 3*j**2 + 3*j = 0.
-1, 0
What is h in -2*h**2/5 - 94*h/5 = 0?
-47, 0
Factor m**4 - 17*m**3 - 18*m**2.
m**2*(m - 18)*(m + 1)
Factor 2*h**4 + 38*h**3 - 40*h**2.
2*h**2*(h - 1)*(h + 20)
Determine o, given that -4*o**4 - 292*o**3 - 6008*o**2 - 24752*o - 27744 = 0.
-34, -3, -2
Factor -4*g**4 + 32*g**3 - 92*g**2 + 112*g - 48.
-4*(g - 3)*(g - 2)**2*(g - 1)
Determine w, given that -w**4/4 - 77*w**3/4 - 75*w**2/4 + 77*w/4 + 19 = 0.
-76, -1, 1
Determine c, given that c**2/2 + 5*c - 11/2 = 0.
-11, 1
Solve 6*t**2/11 + 126*t/11 = 0.
-21, 0
Factor -3*d**4 + 129*d**3 + 1101*d**2 - 2577*d + 1350.
-3*(d - 50)*(d - 1)**2*(d + 9)
Find s, given that -5*s**2 + 1045*s = 0.
0, 209
Factor z**2 - 119*z.
z*(z - 119)
Let 3*c**4 + 15*c**3 - 24*c**2 - 36*c = 0. Calculate c.
-6, -1, 0, 2
Determine f, given that 2*f**3 - 56*f**2 - 544*f - 1152 = 0.
-4, 36
Determine y so that -y**5 - y**4 + 13*y**3 + 25*y**2 + 12*y = 0.
-3, -1, 0, 4
What is a in 43*a**2 - 6233*a - 290 = 0?
-2/43, 145
Factor -2*k**4 - 14*k**3/5 - 4*k**2/5.
-2*k**2*(k + 1)*(5*k + 2)/5
Factor -507*n**2/4 - 4173*n - 34347.
-3*(13*n + 214)**2/4
Find d such that -3*d**2/2 + 159*d - 612 = 0.
4, 102
Factor -3*u**5/7 - 669*u**4/7 + 4086*u**3/7 - 8220*u**2/7 + 5496*u/7.
-3*u*(u - 2)**3*(u + 229)/7
Factor 2*h**4/5 - 7*h**3/5 - 17*h**2/5 + 2*h.
h*(h - 5)*(h + 2)*(2*h - 1)/5
Solve -3*r**3 + 69*r**2 + 654*r - 720 = 0 for r.
-8, 1, 30
Factor 2*j**3/17 + 14*j**2/17 + 22*j/17 + 10/17.
2*(j + 1)**2*(j + 5)/17
Factor -4*w**4 - 4160*w**3 - 1622400*w**2 - 281216000*w - 18279040000.
-4*(w + 260)**4
What is t in -7*t**3 + 72*t**2 - 195*t + 50 = 0?
2/7, 5
Factor 5*r**5 + 5075*r**4 + 1718730*r**3 + 194786020*r**2 + 193072360*r.
5*r*(r + 1)*(r + 338)**3
Factor 3*g**3 - 33*g**2 + 84*g.
3*g*(g - 7)*(g - 4)
Determine x, given that -3*x**3/4 + 153*x**2/2 - 2025*x + 16038 = 0.
18, 66
Determine a, given that -4*a**4 - 15840*a**3 - 23522400*a**2 - 15524784000*a - 3842384040000 = 0.
-990
Factor 4*b**2 - 5644*b + 5640.
4*(b - 1410)*(b - 1)
Find x such that -4*x**3 - 108*x**2 - 384*x + 5120 = 0.
-16, 5
Factor -3*r**3/2 - 387*r**2 - 33282*r - 954084.
-3*(r + 86)**3/2
Suppose 5*k**5 - 65*k**4 + 275*k**3 - 515*k**2 + 440*k - 140 = 0. What is k?
1, 2, 7
Factor h**3/7 + 12*h**2/7 - 4*h.
h*(h - 2)*(h + 14)/7
What is f in -5*f**5 - 65*f**4 - 255*f**3 - 115*f**2 + 1100*f + 1500 = 0?
-5, -3, -2, 2
Solve -n**3/2 + 87*n**2/4 + 323*n/4 + 141/2 = 0.
-2, -3/2, 47
Factor -2*f**4/7 + 114*f**3/7 - 2430*f**2/7 + 22950*f/7 - 81000/7.
-2*(f - 15)**3*(f - 12)/7
Solve -s**5/2 + s**4 - s**2 + s/2 = 0 for s.
-1, 0, 1
Let 77*d**4/5 + 5244*d**3/5 - 4773*d**2/5 - 824*d/5 + 276/5 = 0. What is d?
-69, -2/7, 2/11, 1
What is m in 2*m**2/3 + 56*m/3 + 392/3 = 0?
-14
Factor -2*y**2 - 2560*y - 2558.
-2*(y + 1)*(y + 1279)
Find z such that 9*z**2 - 804*z - 540 = 0.
-2/3, 90
Find j, given that -2*j**5/3 + 2*j**4 + 2*j**3/3 - 2*j**2 = 0.
-1, 0, 1, 3
Solve -4*g**4 - 1720*g**3 - 184900*g**2 = 0.
-215, 0
Factor 5*d**2 - 75*d + 270.
5*(d - 9)*(d - 6)
Factor -5*w**3 + 160*w**2 - 825*w + 1170.
-5*(w - 26)*(w - 3)**2
Determine c, given that -82*c**4/5 + 78*c**3/5 + 4*c**2/5 = 0.
-2/41, 0, 1
Factor -5*s**4 - 90*s**3 + 15*s**2 + 260*s - 180.
-5*(s - 1)**2*(s + 2)*(s + 18)
Solve 2*p**2/3 - 370*p/3 + 1448/3 = 0 for p.
4, 181
Solve -3*u**5/4 + 15*u**4/4 - 6*u**3 + 3*u**2 = 0.
0, 1, 2
Determine n so that -2*n**5/7 - 2*n**4/7 + 10*n**3/7 - 6*n**2/7 = 0.
-3, 0, 1
Factor 3*u**2 - 72*u + 432.
3*(u - 12)**2
Factor -3*p**2/2 + 60*p.
-3*p*(p - 40)/2
Factor 3*o**5 - 12*o**4 - 6*o**3 + 36*o**2 + 27*o.
3*o*(o - 3)**2*(o + 1)**2
Let -m**5/2 - 45*m**4/4 - 74*m**3 - 417*m**2/4 + 115*m + 75 = 0. Calculate m.
-10, -3, -1/2, 1
Factor z**4/6 - z**3 - 7*z**2/6.
z**2*(z - 7)*(z + 1)/6
Suppose 19220*u**4 - 57040*u**3 - 1855*u**2 - 15*u = 0. What is u?
-1/62, 0, 3
Factor -m**3/7 + m**2/7 + 6*m/7.
-m*(m - 3)*(m + 2)/7
Determine v so that 4*v**3 - 436*v**2 - 884*v - 444 = 0.
-1, 111
Factor d**5/5 + 8*d**4 + 437*d**3/5 + 722*d**2/5.
d**2*(d + 2)*(d + 19)**2/5
Factor k**5 - 3*k**4 - 2*k**3 + 6*k**2 + k - 3.
(k - 3)*(k - 1)**2*(k + 1)**2
Factor -2*j**2 - 16*j + 66.
-2*(j - 3)*(j + 11)
Solve 14*w**3/5 + 12*w**2/5 - 14*w/5 - 12/5 = 0.
-1, -6/7, 1
Factor -58*w**2/7 - 344*w/7 + 24/7.
-2*(w + 6)*(29*w - 2)/7
Determine q, given that 8*q**5 + 290*q**4 + 624*q**3 + 410*q**2 + 68*q = 0.
-34, -1, -1/4, 0
Factor n**4/3 + 22*n**3 - n**2 - 196*n/3 + 44.
(n - 1)**2*(n + 2)*(n + 66)/3
Let 45*h**3 - 1550*h**2 - 45*h + 1550 = 0. What is h?
-1, 1, 310/9
Factor -4*i**3 + 40*i**2 + 68*i - 264.
-4*(i - 11)*(i - 2)*(i + 3)
Factor 2*i**2/11 - 1772*i/11 + 392498/11.
2*(i - 443)**2/11
Determine b, given that -4*b**5 + 60*b**4 - 109*b**3 + 66*b**2 - 13*b = 0.
0, 1/2, 1, 13
Suppose p**3 + 25*p**2 + 143*p + 119 = 0. Calculate p.
-17, -7, -1
Let -5*g**5 + 12*g**4 - 9*g**3 + 2*g**2 = 0. What is g?
0, 2/5, 1
Determine w, given that w**3/9 - 155*w**2/3 - 311*w/3 - 467/9 = 0.
-1, 467
Factor -r**4 - 13*r**3.
-r**3*(r + 13)
Factor 2*x**2/5 - 8/5.
2*(x - 2)*(x + 2)/5
Suppose x**2/2 + 37*x/2 - 532 = 0. What is x?
-56, 19
Let -j**3/2 + 39*j**2/2 + 113*j - 132 = 0. What is j?
-6, 1, 44
Factor 4*z**3 + 324*z**2 - 1344*z + 1360.
4*(z - 2)**2*(z + 85)
Factor -2*h**5/7 + 5146*h**4/7 - 20564*h**3/7 + 30836*h**2/7 - 20554*h/7 + 734.
-2*(h - 2569)*(h - 1)**4/7
Factor -f**4 - 3*f**3 + 23*f**2 - 33*f + 14.
-(f - 2)*(f - 1)**2*(f + 7)
Let 36*o**4 - 1592*o**3 + 6256*o**2 - 7072*o + 1280 = 0. Calculate o.
2/9, 2, 40
What is n in -2*n**4/5 - 19*n**3/5 - 52*n**2/5 - 29*n/5 + 6 = 0?
-5, -3, -2, 1/2
Let 2*a**3 + 90*a**2 + 88*a = 0. What is a?
-44, -1, 0
What is l in 4*l**4/7 - 192*l**3 + 10580*l**2/7 - 27624*l/7 + 23616/7 = 0?
2, 3, 328
Solve w**5/8 + w**4 - 3*w**3/2 - 13*w**2/4 + 11*w/8 + 9/4 = 0 for w.
-9, -1, 1, 2
Determine f so that 3*f**3/5 + 684*f**2/5 = 0.
-228, 0
Determine d, given that 3*d**5/7 + 12*d**4/7 - 12*d**3/7 - 48*d**2/7 = 0.
-4, -2, 0, 2
Let -t**5 - 17*t**4/2 - 15*t**3 + 5*t**2/2 + 16*t + 6 = 0. Calculate t.
-6, -2, -1, -1/2, 1
Determine t, given that -2*t**4/5 + 6*t**3 - 76*t**2/5 + 48*t/5 = 0.
0, 1, 2, 12
Factor -f**2/5 + 808*f - 816080.
-(f - 2020)**2/5
Determine l so that -14*l**3/5 - 36*l**2/5 - 16*l/5 = 0.
-2, -4/7, 0
Factor -3*w**3 - 9*w**2 + 135*w - 243.
-3*(w - 3)**2*(w + 9)
Factor 3*r**3/5 + 3147*r**2/5 + 826872*r/5 + 823728/5.
3*(r + 1)*(r + 524)**2/5
Solve 27*v**3/5 - 117*v**2/5 + 24*v - 36/5 = 0 for v.
2/3, 3
Let -8*j**4 + 84*j**3 - 112*j**2 + 36*j = 0. What is j?
0, 1/2, 1, 9
Factor -l**5/3 - 14*l**4/3 + 22*l**3 - 104*l**2/3 + 71*l/3 - 6.
-(l - 1)**4*(l + 18)/3
Find x such that 5*x**5 - 640*x**4 + 4755*x**3 + 5400*x**2 = 0.
-1, 0, 9, 120
Suppose -10201*v**4/8 - 31209*v**3/4 - 58313*v**2/8 - 1569*v/2 - 45/2 = 0. What is v?
-5, -1, -6/101
Factor 5*p**2 - 675*p - 2070.
5*(p - 138)*(p + 3)
Factor 4*k**2 - 180*k - 1000.
4*(k - 50)*(k + 5)
Factor v**3/6 - 16*v**2/3 - 87*v/2 - 78.
(v - 39)*(v + 3)*(v + 4)/6
Let -2*y**4/3 + 6*y**3 + 2*y**2/3 - 6*y = 0. Calculate y.
-1, 0, 1, 9
Factor 117128*b**2/7 + 968*b/7 + 2/7.
2*(242*b + 1)**2/7
Suppose -2*g**5 - 6*g**4 + 18*g**3 + 62*g**2 - 72 = 0. Calculate g.
-3, -2, 1, 3
Factor -12*q**4 - 62*q**3 - 10*q**2.
-2*q**2*(q + 5)*(6*q + 1)
Factor -4*z**4/7 + 188*z**3 - 155628