)/7
Factor 4*u**4/3 - 76*u**3/3 - 184*u**2 - 1168*u/3 - 800/3.
4*(u - 25)*(u + 2)**3/3
Let 4*y**3 - 9*y**2 - 12*y + 28 = 0. Calculate y.
-7/4, 2
Factor -4*v**5 + 624*v**4 + 5184*v**3 + 10496*v**2.
-4*v**2*(v - 164)*(v + 4)**2
Suppose 5*d**3 + 165*d**2 + 1815*d + 6655 = 0. Calculate d.
-11
Factor 3*i**3 + 300*i**2 - 303*i.
3*i*(i - 1)*(i + 101)
Solve 5*x**2/3 - 10*x - 35/3 = 0 for x.
-1, 7
Suppose 3*r**4 + 123*r**3 + 1431*r**2 + 3477*r + 2166 = 0. What is r?
-19, -2, -1
Factor -4*b**2/5 + 22036*b/5 + 4408.
-4*(b - 5510)*(b + 1)/5
Determine b so that 16*b**4 - 244*b**3/5 + 172*b**2/5 - 8*b/5 = 0.
0, 1/20, 1, 2
Factor -25*j**5/3 - 15*j**4 + 27*j**3 - 9*j**2.
-j**2*(j + 3)*(5*j - 3)**2/3
Factor 2*p**2/3 + 740*p/3 + 68450/3.
2*(p + 185)**2/3
Solve -k**3/2 + 207*k**2/2 + k/2 - 207/2 = 0.
-1, 1, 207
Determine o so that 4*o**2/9 + 584*o/9 - 196/3 = 0.
-147, 1
Suppose 3*c**5 + 246*c**4 + 2226*c**3 - 8184*c**2 + 8691*c - 2982 = 0. What is c?
-71, -14, 1
What is i in i**3/5 - 7*i**2/5 - 38*i/5 + 48 = 0?
-6, 5, 8
Factor 121*d**2/6 - 66*d + 54.
(11*d - 18)**2/6
Suppose -5*d**3/2 + 110*d**2 - 425*d/2 + 105 = 0. What is d?
1, 42
Solve 2*s**5 + 40*s**4 - 96*s**3 - 4256*s**2 - 7840*s = 0 for s.
-14, -2, 0, 10
Factor -c**3 - 4*c**2 - 5*c - 2.
-(c + 1)**2*(c + 2)
Factor -2*j**2/7 - 16*j/7 - 30/7.
-2*(j + 3)*(j + 5)/7
Suppose -245*u**5/2 - 843*u**4/2 - 409*u**3 - 114*u**2 - 4*u = 0. What is u?
-2, -1, -2/5, -2/49, 0
Factor j**4 - 15*j**3 - 3*j**2 + 47*j - 30.
(j - 15)*(j - 1)**2*(j + 2)
Suppose 2*m**5/5 + 6*m**4/5 - 2*m**3/5 - 6*m**2/5 = 0. What is m?
-3, -1, 0, 1
Find a such that 2*a**5/13 - 4*a**4/13 - 12*a**3/13 + 40*a**2/13 - 38*a/13 + 12/13 = 0.
-3, 1, 2
Factor 3*s**3/5 + 324*s**2/5 - 657*s/5 + 66.
3*(s - 1)**2*(s + 110)/5
Let p**4/3 + 202*p**3/3 + 3400*p**2 - 202*p/3 - 10201/3 = 0. What is p?
-101, -1, 1
Factor -a**5 + 21*a**3 - 20*a**2.
-a**2*(a - 4)*(a - 1)*(a + 5)
Factor 3*t**5/7 - 9*t**4/7 - 3*t**3/7 + 33*t**2/7 - 36*t/7 + 12/7.
3*(t - 2)*(t - 1)**3*(t + 2)/7
Let 114*w**5 - 454*w**4 + 448*w**3 + 8*w**2 = 0. What is w?
-1/57, 0, 2
Let f**3/2 + 15*f**2/2 - 5733*f/2 + 141453/2 = 0. What is f?
-93, 39
Solve -r**4/2 - 7*r**3/2 + 49*r**2 - 18*r - 252 = 0 for r.
-14, -2, 3, 6
Factor -12*m**4 + 69*m**3 - 78*m**2 - 24*m.
-3*m*(m - 4)*(m - 2)*(4*m + 1)
Factor -o**2/2 - 231*o/2.
-o*(o + 231)/2
Factor 2*i**2/7 - 38*i + 264/7.
2*(i - 132)*(i - 1)/7
Factor h**4/4 - 3*h**3 - 12*h**2 + 76*h - 84.
(h - 14)*(h - 2)**2*(h + 6)/4
Factor -3*z**3 + 45*z**2 - 189*z + 147.
-3*(z - 7)**2*(z - 1)
Solve -l**5 - 19*l**4 - 111*l**3 - 173*l**2 + 112*l + 192 = 0.
-8, -3, -1, 1
Factor -24565*p**3 - 611235*p**2 - 5069655*p - 14016105.
-5*(17*p + 141)**3
Determine h so that 4*h**3 - 232*h**2 - 244*h + 472 = 0.
-2, 1, 59
Factor 2*t**2 + 828*t + 85698.
2*(t + 207)**2
Solve 5*t**3 + 2820*t**2 + 530160*t + 33223360 = 0.
-188
Suppose -2*t**5/3 - 2*t**4 + 2*t**3 + 14*t**2/3 - 4*t = 0. Calculate t.
-3, -2, 0, 1
Factor o**3/3 + 10*o**2 + 221*o/3.
o*(o + 13)*(o + 17)/3
Factor -4*m**3 + 372*m**2 + 4*m - 372.
-4*(m - 93)*(m - 1)*(m + 1)
Factor -4*q**2 - 42824*q - 114618436.
-4*(q + 5353)**2
Find z, given that z**5 - 32*z**4 + 337*z**3 - 1334*z**2 + 2236*z - 1352 = 0.
2, 13
Factor -5*t**2 + 870*t - 3400.
-5*(t - 170)*(t - 4)
Find k, given that 2*k**5/21 + 106*k**4/21 + 594*k**3/7 + 2970*k**2/7 - 3600*k/7 = 0.
-24, -15, 0, 1
Determine f so that -123*f**4/2 + 3*f**3 = 0.
0, 2/41
Factor 5*g**2 + 2450*g + 300125.
5*(g + 245)**2
What is a in -4*a**2 + 86*a + 44 = 0?
-1/2, 22
Suppose -r**3/5 - 824*r**2/5 - 329*r - 822/5 = 0. Calculate r.
-822, -1
Factor -125*l**3 + 170*l**2 + 205*l - 90.
-5*(l - 2)*(l + 1)*(25*l - 9)
Factor -3*m**3 + 261*m**2 + 1092*m.
-3*m*(m - 91)*(m + 4)
Factor -4*s**3 - 60*s**2 - 144*s.
-4*s*(s + 3)*(s + 12)
Determine z so that 14*z**3/9 + 34*z**2/9 + 4*z/3 = 0.
-2, -3/7, 0
Determine s so that -s**3/11 + 45*s**2/11 - 57*s + 2527/11 = 0.
7, 19
Suppose 2*r**3/7 + 5*r**2/7 - 3*r/7 = 0. Calculate r.
-3, 0, 1/2
Solve 4*u**2 - 40*u + 96 = 0.
4, 6
Let 10*t**5 + 65*t**4 + 115*t**3 + 55*t**2 - 25*t - 20 = 0. What is t?
-4, -1, 1/2
Let 4*i**5 + 48*i**4 + 56*i**3 - 496*i**2 + 612*i - 224 = 0. What is i?
-8, -7, 1
Factor j**4/3 - 14*j**3/3 - 40*j**2/3 + 128*j/3.
j*(j - 16)*(j - 2)*(j + 4)/3
What is y in -y**5/5 + 6*y**4/5 - 11*y**3/5 + 2*y**2/5 + 12*y/5 - 8/5 = 0?
-1, 1, 2
What is k in 5*k**3/2 + 25*k**2 + 145*k/2 + 50 = 0?
-5, -4, -1
Find a, given that 5*a**5 + 10*a**4 - 70*a**3 + 40*a**2 + 65*a - 50 = 0.
-5, -1, 1, 2
Find l, given that -3*l**2 - 72*l + 156 = 0.
-26, 2
Factor 6*k**5 + 2724*k**4 + 826275*k**3/2 + 42137607*k**2/2 + 41520621*k/2 + 10328853/2.
3*(k + 151)**3*(2*k + 1)**2/2
Factor v**3/3 + 47*v**2/3 + 176*v/3 + 172/3.
(v + 2)**2*(v + 43)/3
Factor -y**2/6 + 127*y/6 + 43.
-(y - 129)*(y + 2)/6
Determine z so that 50*z**5/3 + 1565*z**4/3 + 3353*z**3/3 + 494*z**2/3 - 820*z/3 - 232/3 = 0.
-29, -2, -2/5, 1/2
Factor 4*l**4 - 116*l**3 + 380*l**2 + 500*l.
4*l*(l - 25)*(l - 5)*(l + 1)
Factor -m**4/2 - 17*m**3/2 - 39*m**2 - 70*m - 44.
-(m + 2)**3*(m + 11)/2
Factor 3*g**2/7 - 183*g/7 - 1656/7.
3*(g - 69)*(g + 8)/7
Let 2*j**4 + 8*j**3 - 26*j**2 - 8*j + 24 = 0. What is j?
-6, -1, 1, 2
Suppose 2*v**2/9 + 8*v/3 + 8 = 0. What is v?
-6
What is l in -44*l**2 + 2264*l + 1248 = 0?
-6/11, 52
Factor 4*q**3 + 114*q**2 - 58*q.
2*q*(q + 29)*(2*q - 1)
Determine a, given that -4*a**3/5 - 86*a**2/5 - 32*a - 78/5 = 0.
-39/2, -1
Find l, given that -3*l**4/5 + 6*l**3 - 84*l**2/5 + 18*l/5 + 27 = 0.
-1, 3, 5
Solve -3*d**2 + 4677*d - 4674 = 0 for d.
1, 1558
Determine y, given that -10*y**2/21 + 4*y/21 = 0.
0, 2/5
Factor -s**5 + 3*s**4 - 3*s**3 + s**2.
-s**2*(s - 1)**3
Factor 2*u**2/21 + 8656*u/21 + 9365792/21.
2*(u + 2164)**2/21
Factor -5*h**3 + 15*h**2 - 15*h + 5.
-5*(h - 1)**3
Factor -4*t**3/9 + 352*t**2/9 - 8084*t/9 + 14792/9.
-4*(t - 43)**2*(t - 2)/9
Let 5*c**3 - 285*c**2 - 1845*c - 2835 = 0. What is c?
-3, 63
Factor -4*m**3/9 - 8*m**2/9 + 20*m/3 + 16.
-4*(m - 4)*(m + 3)**2/9
Factor 12*v**4 + 123*v**3 + 138*v**2 + 27*v.
3*v*(v + 1)*(v + 9)*(4*v + 1)
Let -3*b**4/2 + 51*b**3 - 963*b**2/2 + 816*b - 384 = 0. Calculate b.
1, 16
Factor 6724*k**3 - 8364*k**2 + 1740*k - 100.
4*(k - 1)*(41*k - 5)**2
Let -w**3 - 4*w**2 - 3*w = 0. What is w?
-3, -1, 0
Find b, given that -3*b**4 + 3*b**3 + 228*b**2 - 948*b + 720 = 0.
-10, 1, 4, 6
Determine s, given that 2*s**3 - 22*s**2 + 60*s = 0.
0, 5, 6
What is w in 2*w**2 + 73*w/2 + 9 = 0?
-18, -1/4
Suppose -y**3/6 + 9*y**2/2 - 65*y/2 + 169/6 = 0. What is y?
1, 13
Solve -2*n**4/5 + 128*n**3/5 - 2048*n**2/5 = 0 for n.
0, 32
Factor -2*f**2/17 + 4*f/17 + 6/17.
-2*(f - 3)*(f + 1)/17
Suppose r**3/4 + r**2/4 - 6*r + 9 = 0. What is r?
-6, 2, 3
Determine t so that -3*t**4 + 12*t**3 + 36*t**2 - 96*t - 192 = 0.
-2, 4
Solve -n**5/4 + 9*n**4/4 + 23*n**3/4 - 9*n**2/4 - 11*n/2 = 0 for n.
-2, -1, 0, 1, 11
Factor -i**4/3 + 32*i**3/3 - 39*i**2 + 142*i/3 - 56/3.
-(i - 28)*(i - 2)*(i - 1)**2/3
What is j in j**3/2 - 9*j**2/2 + 13*j - 12 = 0?
2, 3, 4
Find c such that -2*c**2/3 + 26*c/3 - 44/3 = 0.
2, 11
Determine t so that -t**5/4 + 93*t**4/4 - 89*t**3/4 - 281*t**2/4 + 231*t/2 - 46 = 0.
-2, 1, 92
Factor -5*f**2 - 40*f - 60.
-5*(f + 2)*(f + 6)
Suppose -n**5/6 + n**4/2 + 5*n**3/6 - n**2/2 - 2*n/3 = 0. What is n?
-1, 0, 1, 4
Find d such that -15*d**4/2 - 3069*d**3/2 - 154815*d**2/2 + 221553*d/2 - 31827 = 0.
-103, 2/5, 1
Suppose z**4/5 + 6*z**3/5 + 13*z**2/5 + 12*z/5 + 4/5 = 0. Calculate z.
-2, -1
Let k**2/5 - 268*k/5 + 17956/5 = 0. Calculate k.
134
Suppose 225*i**4 + 5*i**3 - 154*i**2 - 68*i - 8 = 0. What is i?
-2/5, -2/9, 1
Factor 5*o**3 - 685*o**2 + 2675*o - 1995.
5*(o - 133)*(o - 3)*(o - 1)
Determine h, given that -h**5 - 5*h**4 + 2*h**3 + 10*h**2 - h - 5 = 0.
-5, -1, 1
What is t in 5*t**4 + 20*t**3 - 165*t**2 - 20*t + 160 = 0?
-8, -1, 1, 4
Factor -5*w**2/2 - 80*w + 165/2.
-5*(w - 1)*(w + 33)/2
What is j in j**3 - 8*j**2 + 19*j - 12 = 0?
1, 3, 4
Suppose d**2 - 38*d - 215 = 0. What is d?
-5, 43
Determine v, given that -v**4 - 10*v**3 - 24*v**2 - 22*v - 7 = 0.
-7, -1
Factor 2*t**4/11 + 12*t**3 + 2040*t**2/11 - 4624*t/11.
2*t*(t - 2)*(t + 34)**2/11
Find u, given that 3*u**5 - 16*u**4/3 - 13*u**3/3 + 16*u**2/3 + 4*u/3 = 0.
-1, -2/9, 0, 1, 2
What is v in 95*v**4 - 5*v**3 = 0?
0, 1/19
Determine m so that 4*m**