*4 + 150*l**3 - 45*l**2 - 18200*l - 18000 = 0.
-9, -1, 20
Factor f**2/8 + 7*f + 98.
(f + 28)**2/8
Find l, given that -3*l**2 - 462*l + 1896 = 0.
-158, 4
Determine c so that -2*c**4/3 + 32*c**3/3 - 70*c**2/3 - 104*c/3 = 0.
-1, 0, 4, 13
Factor 3*d**2 + 492*d + 972.
3*(d + 2)*(d + 162)
Determine m, given that -1691*m**3/5 + 1689*m**2/5 + 3384*m/5 + 4/5 = 0.
-1, -2/1691, 2
Factor w**3/6 + 7*w**2/3 + 16*w/3 - 64/3.
(w - 2)*(w + 8)**2/6
Solve 2*d**3/3 - 44*d**2/3 - 1402*d/3 + 988 = 0.
-19, 2, 39
Solve 20*q**2 + 20*q + 5 = 0 for q.
-1/2
Let -5*u**2 - 350*u - 680 = 0. Calculate u.
-68, -2
Factor 2*d**3 - 74*d**2/7 - 316*d/7 + 96/7.
2*(d - 8)*(d + 3)*(7*d - 2)/7
Factor 7256*z**2 - 7244*z - 12.
4*(z - 1)*(1814*z + 3)
What is f in 4*f**5 + 38*f**4 - 68*f**3 - 16*f**2 + 64*f - 22 = 0?
-11, -1, 1/2, 1
Factor r**2/2 - 13*r/2 - 132.
(r - 24)*(r + 11)/2
What is v in v**4 + 11*v**3/2 + 21*v**2/2 + 8*v + 2 = 0?
-2, -1, -1/2
Suppose 3*u**5 + 342*u**4 + 675*u**3 + 336*u**2 = 0. Calculate u.
-112, -1, 0
Determine b, given that -5*b**2/3 - 610*b/3 - 605/3 = 0.
-121, -1
Solve 3*q**5 + 270*q**4 - 276*q**3 - 270*q**2 + 273*q = 0 for q.
-91, -1, 0, 1
Suppose u**3/4 + 3*u**2/4 - 1 = 0. Calculate u.
-2, 1
What is r in -196*r**5/3 - 8652*r**4 + 41144*r**3/3 - 5712*r**2 + 2144*r/3 = 0?
-134, 0, 2/7, 1
What is m in -10*m**4/9 - 96*m**3 - 17944*m**2/9 + 3520*m + 15488/9 = 0?
-44, -2/5, 2
Factor -2*p**2/3 + 584*p/3 - 42632/3.
-2*(p - 146)**2/3
Factor 4*q**5 + 332*q**4 + 972*q**3 + 964*q**2 + 320*q.
4*q*(q + 1)**3*(q + 80)
Find j such that -125*j**3/4 - 2275*j**2/4 - 105*j + 135 = 0.
-18, -3/5, 2/5
Find n such that -2*n**4 + 198*n**3 + 822*n**2 + 218*n - 1236 = 0.
-3, -2, 1, 103
Find g, given that -80*g**3 + 15240*g**2 - 7605*g + 950 = 0.
1/4, 190
Factor -2*x**2/7 - 414*x/7 + 416/7.
-2*(x - 1)*(x + 208)/7
Factor 2*h**4/3 + 28*h**3 - 1166*h**2/3.
2*h**2*(h - 11)*(h + 53)/3
Let -2*d**2/5 - 36*d - 2128/5 = 0. What is d?
-76, -14
Factor -j**4 + 2*j**3 + 7*j**2 - 20*j + 12.
-(j - 2)**2*(j - 1)*(j + 3)
Factor p**5 - 3*p**4 - p**3 + 7*p**2 - 4.
(p - 2)**2*(p - 1)*(p + 1)**2
Factor 9*d**3/7 - 21*d**2 + 267*d/7 - 129/7.
3*(d - 1)**2*(3*d - 43)/7
Factor 4*c**2 + 328*c + 6724.
4*(c + 41)**2
Factor -2*n**2/3 + 5548*n/3 - 3847538/3.
-2*(n - 1387)**2/3
Suppose 2*k**5/13 + 50*k**4/13 + 6*k**3 - 314*k**2/13 + 184*k/13 = 0. Calculate k.
-23, -4, 0, 1
Find j, given that 5*j**5 - 25*j**4 + 35*j**3 - 15*j**2 = 0.
0, 1, 3
Factor -3*u**4 - 18*u**3 - 36*u**2 - 30*u - 9.
-3*(u + 1)**3*(u + 3)
Factor -4*v**2 - 4*v + 8.
-4*(v - 1)*(v + 2)
Factor -12*w**5 + 15*w**4 + 153*w**3.
-3*w**3*(w + 3)*(4*w - 17)
Factor -2*y**3/9 + 50*y**2/9 - 212*y/9 + 80/3.
-2*(y - 20)*(y - 3)*(y - 2)/9
Factor i**4/4 - i**3/2 + i**2/4.
i**2*(i - 1)**2/4
Factor -2*p**3/5 + 6*p**2/5 + 48*p/5 + 56/5.
-2*(p - 7)*(p + 2)**2/5
Factor 2*l**4 + 20*l**3 - 2*l**2 - 20*l.
2*l*(l - 1)*(l + 1)*(l + 10)
Let 4*t**4 + 40*t**3 + 32*t**2 - 40*t - 36 = 0. Calculate t.
-9, -1, 1
Factor q**4 + 4*q**3 + 2*q**2 - 4*q - 3.
(q - 1)*(q + 1)**2*(q + 3)
Suppose 2*g**2 - 30*g + 52 = 0. What is g?
2, 13
Factor 3*x**2/5 - 111*x/5 - 114/5.
3*(x - 38)*(x + 1)/5
Factor -4*z**3/3 + 12*z**2 - 20*z + 28/3.
-4*(z - 7)*(z - 1)**2/3
Suppose -4624*x**2 + 4080*x - 900 = 0. Calculate x.
15/34
Let -2*o**3/19 - 6*o**2/19 + 8/19 = 0. What is o?
-2, 1
Factor 9*a**3/8 - 327*a**2/8 - 141*a/2 - 57/2.
3*(a - 38)*(a + 1)*(3*a + 2)/8
Factor -m**2/3 - 37*m/3 + 40.
-(m - 3)*(m + 40)/3
Find r such that -3*r**4 - 21*r**3 - 33*r**2 + 21*r + 36 = 0.
-4, -3, -1, 1
Factor 96*n**3 + 132*n**2 + 21*n - 15.
3*(n + 1)*(4*n - 1)*(8*n + 5)
Determine y, given that 3*y**5 - 15*y**4 - 9*y**3 + 39*y**2 + 30*y = 0.
-1, 0, 2, 5
Factor 4*b**3/5 - 124*b**2 - 4*b/5 + 124.
4*(b - 155)*(b - 1)*(b + 1)/5
Suppose b**2/2 - 49*b/2 - 25 = 0. Calculate b.
-1, 50
What is i in 94*i**2 + 90*i - 4 = 0?
-1, 2/47
Factor -126*x**4 + 72*x**3 + 8*x**2.
-2*x**2*(3*x - 2)*(21*x + 2)
Factor -3*r**3 - 48*r**2 - 177*r - 132.
-3*(r + 1)*(r + 4)*(r + 11)
Find s such that -2*s**4 - 19432*s**3 - 70800492*s**2 - 114649596712*s - 69620967603362 = 0.
-2429
Factor 2*i**2/5 - 4*i - 48/5.
2*(i - 12)*(i + 2)/5
Solve l**5/2 + 11*l**4/2 + 17*l**3 + 7*l**2 - 35*l/2 - 25/2 = 0 for l.
-5, -1, 1
Suppose 2*g**4 - 76*g**3 + 592*g**2 + 76*g - 594 = 0. What is g?
-1, 1, 11, 27
Solve s**2/9 - 91*s/9 - 92/9 = 0 for s.
-1, 92
Factor 4*z**2 + 8*z - 96.
4*(z - 4)*(z + 6)
Determine q so that 3*q**3/4 + 17*q**2 = 0.
-68/3, 0
Factor -4*u**2 - 996*u.
-4*u*(u + 249)
Suppose -6*n**5/7 + 6*n**4 - 36*n**3/7 - 192*n**2/7 + 192*n/7 = 0. Calculate n.
-2, 0, 1, 4
Factor 8*b**4 + 39*b**3 + 69*b**2 + 53*b + 15.
(b + 1)**3*(8*b + 15)
Factor 5*z**3 - 275*z**2 + 270*z.
5*z*(z - 54)*(z - 1)
Factor -x**2/4 + 43*x - 1849.
-(x - 86)**2/4
Suppose 192*u**5 - 25584*u**4 + 6276*u**3 + 14331*u**2 + 4386*u + 399 = 0. Calculate u.
-1/4, 1, 133
What is q in -132*q**3 + 1252*q**2 + 672*q + 80 = 0?
-1/3, -2/11, 10
Factor -5*i**3 - 125*i**2 - 230*i.
-5*i*(i + 2)*(i + 23)
Determine w so that w**3/8 + 31*w**2/4 + 481*w/8 - 4107/2 = 0.
-37, 12
Solve -10*p**3/3 - 38*p**2/9 - 8*p/9 = 0 for p.
-1, -4/15, 0
Suppose 2*p**4/25 + 6*p**3/25 - 2*p**2/25 - 6*p/25 = 0. Calculate p.
-3, -1, 0, 1
Factor -4*z**4 - 288*z**3 - 4888*z**2 + 10656*z - 5476.
-4*(z - 1)**2*(z + 37)**2
Find x such that -x**2 + 37*x - 270 = 0.
10, 27
Determine k, given that -4*k**4 - 384*k**3 - 1844*k**2 - 2184*k = 0.
-91, -3, -2, 0
Determine h so that -4*h**4/3 - 416*h**3 - 97340*h**2/3 + 416*h + 32448 = 0.
-156, -1, 1
Factor 5*p**2 - 4595*p.
5*p*(p - 919)
Let -x**2/3 + 2*x/3 + 35/3 = 0. What is x?
-5, 7
Let -h**4/4 - 13*h**3/4 - 33*h**2/4 - 31*h/4 - 5/2 = 0. What is h?
-10, -1
Determine k so that 2*k**2/7 + 16*k/7 + 24/7 = 0.
-6, -2
Find r, given that 3*r**2 - 99*r/8 + 75/8 = 0.
1, 25/8
Solve l**2 + 66*l + 833 = 0.
-49, -17
Factor 2*u**3/17 - 756*u**2/17.
2*u**2*(u - 378)/17
Solve 10*l**3 - 2146*l**2 - 860*l = 0.
-2/5, 0, 215
Factor -2*a**2 + 6*a + 56.
-2*(a - 7)*(a + 4)
Factor -2*v**2 + 366*v.
-2*v*(v - 183)
Determine s so that -14*s**4/5 + 58*s**3/5 - 78*s**2/5 + 38*s/5 - 4/5 = 0.
1/7, 1, 2
Factor 2*u**2/5 + 448*u + 2238/5.
2*(u + 1)*(u + 1119)/5
Solve w**3 + 5*w**2 + 2*w - 8 = 0 for w.
-4, -2, 1
Factor v**4/3 + 64*v**3/3.
v**3*(v + 64)/3
Factor -j**2/4 + 57*j/4 + 29/2.
-(j - 58)*(j + 1)/4
Determine l so that -2*l**3 - 44*l**2 + 46*l = 0.
-23, 0, 1
Factor 2*u**3 - 402*u**2 + 20400*u - 20000.
2*(u - 100)**2*(u - 1)
Factor 3*r**3/5 - 48*r**2/5 + 117*r/5.
3*r*(r - 13)*(r - 3)/5
Factor 2*a**2 - 58*a + 108.
2*(a - 27)*(a - 2)
Determine h, given that 4*h**2/7 - 124*h/7 + 232/7 = 0.
2, 29
Let -z**5 - 8*z**4 = 0. Calculate z.
-8, 0
What is l in -l**4 + 50*l**3 - 492*l**2 + 1400*l - 1216 = 0?
2, 8, 38
Determine x, given that 3*x**3/2 - 237*x**2/4 + 117*x/4 = 0.
0, 1/2, 39
Factor -4*w**2/7 + 1692*w/7 - 1688/7.
-4*(w - 422)*(w - 1)/7
Factor -2*s**5 + 348*s**4 - 20184*s**3 + 390224*s**2.
-2*s**2*(s - 58)**3
Factor 5*i**2 - 99100*i + 491040500.
5*(i - 9910)**2
Factor -d**2/8 - 249*d/8.
-d*(d + 249)/8
Determine w, given that -72*w**5 - 20*w**4 + 404*w**3 + 56*w**2 - 464*w + 96 = 0.
-2, -3/2, 2/9, 1, 2
Factor -5*x**5 - 10*x**4 + 30*x**3 + 100*x**2 + 95*x + 30.
-5*(x - 3)*(x + 1)**3*(x + 2)
Factor -2*j**2/5 + 4*j - 32/5.
-2*(j - 8)*(j - 2)/5
Solve -15*l**3/2 - 27*l**2 + 12*l = 0.
-4, 0, 2/5
Suppose s**3/5 + 8*s**2 + 357*s/5 - 882/5 = 0. Calculate s.
-21, 2
Factor -4*g**2 + 16952*g - 16948.
-4*(g - 4237)*(g - 1)
Factor -z**5 + 4*z**4 - 6*z**3 + 4*z**2 - z.
-z*(z - 1)**4
Find t, given that -3*t**5 + 15*t**4 + 198*t**3 + 588*t**2 + 696*t + 288 = 0.
-2, -1, 12
Determine u, given that 8*u**3/13 + 18*u**2/13 + 12*u/13 + 2/13 = 0.
-1, -1/4
Factor 3*b**2 + 13284*b + 14705388.
3*(b + 2214)**2
Find i such that -3*i**4/4 - 21*i**3/4 - 27*i**2/4 + 21*i/4 + 15/2 = 0.
-5, -2, -1, 1
Determine w, given that 2*w**5 - 8*w**4 - 6*w**3 + 44*w**2 - 8*w - 48 = 0.
-2, -1, 2, 3
Factor 2*g**3 + 40*g**2 - 54*g - 252.
2*(g - 3)*(g + 2)*(g + 21)
Factor 21*a**4/8 + 45*a**3/4 + 27*a**2/2 + 3*a.
3*a*(a + 2)**2*(7*a + 2)/8
Factor 5*y**4 + 25*y**3 + 10*y**2 - 40*y.
5*y*(y - 1)*(y + 2)*(y + 4)
Determine c so that -2*c**3/15 + 4*c**2/15 + 14*c/15 + 8/15 = 0.
-1, 4
Factor -m**3 + 2035*m**2.
-m**2*(m - 2035)
Suppose -4*v**3 - 768*v**2 - 35280*v + 153664 = 0. Calculat