 f**5/3 - 11*f**4 + 287*f**3/3 - 223*f**2/3 - 96*f + 256/3 = 0.
-1, 1, 16
Solve 2*g**2/11 + 6*g/11 - 140/11 = 0 for g.
-10, 7
Solve 18*n**3/5 + 166*n**2/5 + 288*n/5 + 56/5 = 0.
-7, -2, -2/9
Factor -2*g**2 - 840*g + 842.
-2*(g - 1)*(g + 421)
Factor m**3/2 + 297*m**2/2 - 600*m + 602.
(m - 2)**2*(m + 301)/2
Let -35*k**5 - 95*k**4 - 5*k**3 + 115*k**2 + 40*k - 20 = 0. What is k?
-2, -1, 2/7, 1
Find t such that -2*t**4 + 30*t**3 - 158*t**2 + 330*t - 200 = 0.
1, 4, 5
Factor 2*v**3/7 + 46*v**2/7 - 14*v + 50/7.
2*(v - 1)**2*(v + 25)/7
Find d, given that 3*d**2 + 66*d + 120 = 0.
-20, -2
Determine w so that 7700*w**2 + 23092*w - 24 = 0.
-3, 2/1925
Solve -32*x**5 + 1104*x**4 - 12962*x**3 + 59490*x**2 - 84350*x + 36750 = 0.
1, 35/4, 15
Factor -v**2/2 + 31*v/2.
-v*(v - 31)/2
Let 5*a**5/6 - 5*a**4 + 20*a**3/3 + 5*a**2 - 15*a/2 = 0. What is a?
-1, 0, 1, 3
Determine q, given that -2*q**3/5 + 8*q**2/5 - 2*q + 4/5 = 0.
1, 2
Suppose -5*d**2 - 405*d - 400 = 0. Calculate d.
-80, -1
Factor -4*c**4 + 22*c**3 - 40*c**2 + 24*c.
-2*c*(c - 2)**2*(2*c - 3)
Factor 3*c**3 + 21*c**2 - 207*c + 351.
3*(c - 3)**2*(c + 13)
Find g such that 2*g**3 + 198*g**2 + 952*g + 1128 = 0.
-94, -3, -2
Factor l**5/5 + 4*l**4/5 + 4*l**3/5 - 2*l**2/5 - l - 2/5.
(l - 1)*(l + 1)**3*(l + 2)/5
Solve i**5/5 + i**4 - 22*i**3/5 + 16*i**2/5 = 0.
-8, 0, 1, 2
Find d such that 2*d**2 - 56*d - 58 = 0.
-1, 29
Factor -3*r**2 - 954*r + 2889.
-3*(r - 3)*(r + 321)
Suppose 3*z**4/7 + 3*z**3 + 6*z**2/7 - 12*z - 72/7 = 0. What is z?
-6, -2, -1, 2
Find y such that 2*y**3/7 - 2644*y**2/7 - 5294*y/7 - 2648/7 = 0.
-1, 1324
Solve 4*v**4/5 + 56*v**3/5 + 96*v**2/5 - 376*v/5 + 44 = 0.
-11, -5, 1
Suppose -o**2/4 - 17*o/4 + 9/2 = 0. What is o?
-18, 1
Factor v**3/8 + 27*v**2/8 + 19*v.
v*(v + 8)*(v + 19)/8
Determine u, given that 266*u**5/9 + 580*u**4/9 - 178*u**3/9 - 596*u**2/9 - 88*u/9 + 16/9 = 0.
-2, -1, -2/7, 2/19, 1
Determine b so that -3*b**3/8 + 9*b**2/4 - 27*b/8 = 0.
0, 3
Factor a**5/4 + 13*a**4/4 + 21*a**3/2 - 8*a**2 - 56*a.
a*(a - 2)*(a + 4)**2*(a + 7)/4
Let 3*c**2/2 + 195*c - 393/2 = 0. Calculate c.
-131, 1
Factor 2*j**2 + 156*j + 450.
2*(j + 3)*(j + 75)
Factor 4*r**3/3 - 260*r**2/3 - 548*r/3 + 268.
4*(r - 67)*(r - 1)*(r + 3)/3
Let -2*o**2/3 + 10*o - 52/3 = 0. Calculate o.
2, 13
Factor z**3/2 + 53*z**2/2 + 273*z.
z*(z + 14)*(z + 39)/2
What is z in 36*z**5 + 5064*z**4 + 174673*z**3 - 240123*z**2 + 65391*z - 5041 = 0?
-71, 1/6, 1
Determine a so that -2*a**4/7 - 2*a**3/7 + 384*a**2/7 + 712*a/7 - 416 = 0.
-13, -4, 2, 14
Factor -5*g**3 + 35*g**2 + 7400*g + 94000.
-5*(g - 47)*(g + 20)**2
Solve 25*n**5 + 190*n**4 + 420*n**3 + 200*n**2 - 160*n = 0 for n.
-4, -2, 0, 2/5
Factor 5*m**4 - 225*m**3 - 955*m**2 - 1215*m - 490.
5*(m - 49)*(m + 1)**2*(m + 2)
Determine d, given that -4*d**2 - 816*d - 41616 = 0.
-102
Factor 2*g**4/7 + 134*g**3/7 - 136*g**2/7.
2*g**2*(g - 1)*(g + 68)/7
Factor 2*i**4 - 156*i**3 + 3338*i**2 - 11544*i + 10952.
2*(i - 37)**2*(i - 2)**2
Suppose -r**3/2 - r**2/2 + 39*r/8 - 9/2 = 0. Calculate r.
-4, 3/2
Find n, given that -2*n**4 + 12*n**3 - 6*n**2 - 20*n = 0.
-1, 0, 2, 5
Factor -21*g**2 + 1905*g + 546.
-3*(g - 91)*(7*g + 2)
Suppose -4*i**3 + 21*i**2 - 21*i + 4 = 0. Calculate i.
1/4, 1, 4
Factor -3*y**3/8 + 9*y**2/8 + 6*y + 9/2.
-3*(y - 6)*(y + 1)*(y + 2)/8
Suppose 4*d**2/5 + 36*d/5 + 56/5 = 0. What is d?
-7, -2
What is l in 2*l**4/11 - 6*l**3/11 - 2*l**2 + 6*l/11 + 20/11 = 0?
-2, -1, 1, 5
Factor 3*s**3 + 270*s**2 + 8100*s + 81000.
3*(s + 30)**3
Find s such that 3*s**4 - 12*s**3 - 30*s**2 + 84*s - 45 = 0.
-3, 1, 5
Find o, given that -2*o**5/7 + 22*o**4/7 - 72*o**3/7 + 32*o**2/7 + 128*o/7 = 0.
-1, 0, 4
Suppose 3*d**2 + 13452*d + 15079692 = 0. What is d?
-2242
What is q in 2*q**3/19 - 20*q**2/19 - 8*q/19 + 80/19 = 0?
-2, 2, 10
Factor -3*b**2 + 24*b + 195.
-3*(b - 13)*(b + 5)
Factor -3*g**3/2 - 107*g**2/4 - 181*g/4 - 20.
-(g + 1)*(g + 16)*(6*g + 5)/4
Factor 2*k**4/3 - 8*k**3 + 104*k**2/3 - 64*k + 128/3.
2*(k - 4)**2*(k - 2)**2/3
Determine s so that -s**3 - s**2 + 5*s - 3 = 0.
-3, 1
Suppose 4*w**5 - 16*w**3 - 8*w**2 + 12*w + 8 = 0. What is w?
-1, 1, 2
Find q such that 5*q**2 - 65250*q + 212878125 = 0.
6525
Factor -3*s**3 - 798*s**2 + 801*s.
-3*s*(s - 1)*(s + 267)
Factor 12*s**4 + 43*s**3 + 40*s**2 + 9*s.
s*(s + 1)*(3*s + 1)*(4*s + 9)
Let -4*s**3 + 92*s**2 = 0. What is s?
0, 23
Let -3*w**2 + 153*w = 0. Calculate w.
0, 51
Factor g**3/8 - 233*g**2/8 + 13455*g/8 + 13689/8.
(g - 117)**2*(g + 1)/8
Solve -y**5/3 + 11*y**4/3 + 13*y**3/3 - 11*y**2/3 - 4*y = 0 for y.
-1, 0, 1, 12
Solve -2*k**4 - 8*k**3 - 6*k**2 + 8*k + 8 = 0.
-2, -1, 1
Let -m**5/4 - 143*m**4/2 - 5253*m**3 - 40185*m**2/2 - 59643*m/4 = 0. Calculate m.
-141, -3, -1, 0
Determine l so that -2*l**5 - 598*l**4 - 41936*l**3 + 412136*l**2 - 1128512*l + 758912 = 0.
-154, 1, 4
Solve -v**5/2 + 453*v**4/2 - 51075*v**3/2 - 51529*v**2/2 = 0 for v.
-1, 0, 227
Determine n so that n**3/4 + 101*n**2/4 + 2279*n/4 - 14045/4 = 0.
-53, 5
Find a such that -55*a**4/3 - 100*a**3/3 - 35*a**2/3 + 10*a/3 = 0.
-1, 0, 2/11
Determine n so that -2*n**3/7 + 30*n**2/7 + 144*n/7 - 2592/7 = 0.
-9, 12
Find o, given that 2*o**2 - 8*o - 192 = 0.
-8, 12
Let -3*x**2/5 + 108*x/5 - 609/5 = 0. What is x?
7, 29
Factor 5*g**2 - 20*g.
5*g*(g - 4)
Find r such that -6*r**3 - 5840*r**2 - 7778*r - 1944 = 0.
-972, -1, -1/3
Determine o, given that 26*o**2/5 - 196*o/5 + 288/5 = 0.
2, 72/13
Factor -94*c**2/7 + 192*c/7 - 8/7.
-2*(c - 2)*(47*c - 2)/7
Factor -5*z**4 + 660*z**3 - 22425*z**2 + 42250*z.
-5*z*(z - 65)**2*(z - 2)
Determine f, given that 2*f**2/11 + 106*f/11 + 984/11 = 0.
-41, -12
Factor -5*h**2 - 110*h + 375.
-5*(h - 3)*(h + 25)
Factor -4*j**2 - 344*j - 7396.
-4*(j + 43)**2
Factor -14*q**5/3 - 116*q**4/3 - 256*q**3/3 - 64*q**2/3.
-2*q**2*(q + 4)**2*(7*q + 2)/3
Solve -21*r**5 + 90*r**4 + 354*r**3 + 312*r**2 + 27*r - 42 = 0.
-1, 2/7, 7
Factor -5*o**3 + 140*o**2 - 785*o + 1050.
-5*(o - 21)*(o - 5)*(o - 2)
Factor 2*a**2/17 - 4736*a/17 + 2803712/17.
2*(a - 1184)**2/17
Let 3*b**3/5 - 21*b**2/5 - 6*b + 48/5 = 0. What is b?
-2, 1, 8
What is z in -3*z**5 + 18*z**4 - 12*z**3 - 72*z**2 + 96*z = 0?
-2, 0, 2, 4
Factor 15*n**2 + 26619*n - 10650.
3*(n + 1775)*(5*n - 2)
Determine a so that -11*a**5/2 + 21*a**4 - 47*a**3/2 + 6*a**2 + 2*a = 0.
-2/11, 0, 1, 2
Factor -4*q**2 - 60*q.
-4*q*(q + 15)
Factor -a**5/5 + a**3/5.
-a**3*(a - 1)*(a + 1)/5
Suppose -6108987*o**2 + 8562*o - 3 = 0. Calculate o.
1/1427
Solve 2*x**4/13 + 32*x**3/13 + 122*x**2/13 + 132*x/13 = 0.
-11, -3, -2, 0
Factor o**3/4 + o**2/4.
o**2*(o + 1)/4
Find b, given that 2*b**4/13 - 3274*b**3/13 - 2*b**2/13 + 3274*b/13 = 0.
-1, 0, 1, 1637
Suppose 841*l**3/3 + 667*l**2 + 520*l + 400/3 = 0. What is l?
-1, -20/29
Factor -3*r**3/2 - 573*r**2/2.
-3*r**2*(r + 191)/2
Find m such that -2*m**3 - 62*m**2 + 2*m + 62 = 0.
-31, -1, 1
Factor 2*t**2/3 + 124*t/3 + 1922/3.
2*(t + 31)**2/3
Factor 10*k**3 - 264*k**2 + 104*k.
2*k*(k - 26)*(5*k - 2)
Suppose -b**4/6 + 28*b**3/3 - 419*b**2/3 + 252*b - 243/2 = 0. What is b?
1, 27
Factor -14*h**2/3 + 1642*h/3 - 156.
-2*(h - 117)*(7*h - 2)/3
Suppose -294*u**4 + 644*u**3 - 344*u**2/3 + 16*u/3 = 0. Calculate u.
0, 2/21, 2
Factor -3*f**4/2 - 57*f**3 - 315*f**2/2.
-3*f**2*(f + 3)*(f + 35)/2
Suppose -y**2 + 68*y - 1156 = 0. What is y?
34
Factor -357*l**4 - 387*l**3 - 30*l**2.
-3*l**2*(l + 1)*(119*l + 10)
Factor 4*p**3 - 64*p**2 - 320*p.
4*p*(p - 20)*(p + 4)
Suppose c**3/3 + 10*c**2/3 + 31*c/3 + 10 = 0. Calculate c.
-5, -3, -2
Factor -2*o**2 + 88*o - 968.
-2*(o - 22)**2
Let 6*j**4 + 4*j**3 - 32*j**2 + 28*j - 6 = 0. Calculate j.
-3, 1/3, 1
Factor 3*z**2 + 156*z.
3*z*(z + 52)
Factor x**5/3 - 299*x**4/2 + 44849*x**3/2 - 6815707*x**2/6 + 3307949*x/2.
x*(x - 149)**3*(2*x - 3)/6
Determine c so that -4*c**4 + c**3 + 12*c**2 + 5*c - 2 = 0.
-1, 1/4, 2
Factor -2*q**3/3 + 60*q**2 + 62*q - 364/3.
-2*(q - 91)*(q - 1)*(q + 2)/3
Suppose 248*m**4 + 4452*m**3 + 14664*m**2 - 50320*m + 2400 = 0. Calculate m.
-10, 3/62, 2
Factor -3*p**4 + 18*p**3 + 48*p**2.
-3*p**2*(p - 8)*(p + 2)
Find j such that -3*j**4 + 69*j**3 - 129*j**2 + 63*j = 0.
0, 1, 21
Find s, given that -4*s**2/5 + 216*s/5 - 416/5 = 0.
2, 52
Factor 3*k**4 - 972*k**3 - 2937*k**2 - 1962*k.
3*k*(k - 327)*(k + 1)*(k + 2)
Factor o**5/3 + 98*o**4/3 + 3265*o**3/3 + 39008*o**2/3 + 68608*o/3 + 32768/3.