 that 3*u**5/4 + 3*u**4/4 - 15*u**3/2 + 6*u**2 = 0.
-4, 0, 1, 2
Solve 2*k**4/5 + 166*k**3/5 - 516*k**2/5 + 8*k/5 + 688/5 = 0 for k.
-86, -1, 2
Find j, given that 4*j**5 + 28*j**4 - 436*j**3 - 1372*j**2 + 15360*j - 25200 = 0.
-10, 3, 7
Let 3*q**2/5 + 192*q/5 + 3072/5 = 0. What is q?
-32
Determine s, given that -3*s**3 + 3*s**2 + 12*s - 12 = 0.
-2, 1, 2
Suppose 16*k**5/5 - 20*k**4 - 408*k**3/5 + 44*k**2/5 + 592*k/5 - 144/5 = 0. Calculate k.
-2, 1/4, 1, 9
Solve 2*v**3/9 - 46*v**2/3 + 1058*v/3 - 24334/9 = 0.
23
Factor v**2 - 35*v - 156.
(v - 39)*(v + 4)
Solve -14*u**4/9 - 1418*u**3/9 - 3190*u**2/9 - 2182*u/9 - 44 = 0 for u.
-99, -1, -2/7
Factor 5*w**3 - 25*w**2 - 5*w + 25.
5*(w - 5)*(w - 1)*(w + 1)
Solve 25*q**3 - 135*q**2 + 80*q + 240 = 0 for q.
-1, 12/5, 4
Suppose -2*w**3/7 + 94*w**2/7 = 0. What is w?
0, 47
What is p in p**5/3 - 28*p**4/3 - 91*p**3/3 - 62*p**2/3 = 0?
-2, -1, 0, 31
What is j in -4*j**2/5 + 823*j + 1029/5 = 0?
-1/4, 1029
Find h such that -2*h**2 + 40*h + 42 = 0.
-1, 21
Factor 5*s**5 - 35*s**4 - 10*s**3 + 300*s**2 - 360*s.
5*s*(s - 6)*(s - 2)**2*(s + 3)
Suppose 3*p**2 - 111*p - 114 = 0. Calculate p.
-1, 38
Factor -18*i**2 + 120*i - 200.
-2*(3*i - 10)**2
Factor -10*p**2/3 - 46*p/3 - 52/3.
-2*(p + 2)*(5*p + 13)/3
Determine i, given that -3*i**3 - 5958*i**2 = 0.
-1986, 0
Factor m**3/4 + 77*m**2/4 - 460*m + 2425.
(m - 10)**2*(m + 97)/4
Suppose 48*y**3/5 - 8904*y**2/5 + 4443*y/5 - 111 = 0. What is y?
1/4, 185
Factor -f**3 - 12*f**2 + 69*f + 80.
-(f - 5)*(f + 1)*(f + 16)
Factor l**2/3 - 4172*l/3 + 4351396/3.
(l - 2086)**2/3
Let -3*i**2/2 - 828*i - 114264 = 0. What is i?
-276
Find d, given that 50*d**5/7 - 260*d**4/7 - 4*d**3/7 + 40*d**2 - 46*d/7 - 20/7 = 0.
-1, -1/5, 2/5, 1, 5
Find b, given that 3*b**3/2 + 303*b**2/2 + 147*b - 300 = 0.
-100, -2, 1
Suppose 4*a**4 + 80*a**3 + 576*a**2 + 1728*a + 1728 = 0. Calculate a.
-6, -2
Factor 5*a**3 + 85*a**2 + 70*a - 160.
5*(a - 1)*(a + 2)*(a + 16)
Let 3*i**4 + 198*i**3 + 3780*i**2 + 16200*i = 0. What is i?
-30, -6, 0
Factor 2*w**2 - 30*w - 32.
2*(w - 16)*(w + 1)
Factor -i**4/4 - 17*i**3/4 - 63*i**2/4 + 81*i/4.
-i*(i - 1)*(i + 9)**2/4
Solve 3*m**5 + 135*m**4 + 333*m**3 - 1839*m**2 + 2124*m - 756 = 0 for m.
-42, -6, 1
Factor 2*v**4 - 10*v**3 + 16*v**2 - 8*v.
2*v*(v - 2)**2*(v - 1)
Find l such that l**4 + 22*l**3 - 7*l**2 - 148*l + 132 = 0.
-22, -3, 1, 2
Factor s**3/4 - 325*s**2/4 - 163*s/2.
s*(s - 326)*(s + 1)/4
Suppose -4*p**5 - 68*p**4 + 24*p**3 + 440*p**2 + 556*p + 204 = 0. Calculate p.
-17, -1, 3
Solve -5*f**5 - 40*f**4 - 110*f**3 - 120*f**2 - 45*f = 0.
-3, -1, 0
Suppose -2*g**5/7 + 2*g**4/7 + 12*g**3/7 - 8*g**2/7 - 16*g/7 = 0. What is g?
-2, -1, 0, 2
Factor a**2/5 + 67*a/5 - 68/5.
(a - 1)*(a + 68)/5
Suppose -2*k**5 - 20*k**4 + 8*k**3 + 308*k**2 - 294*k = 0. What is k?
-7, 0, 1, 3
Determine m so that m**3/2 - 269*m**2/2 + 1583*m/2 - 1315/2 = 0.
1, 5, 263
Let 38*n**4 - 74*n**3 + 34*n**2 + 2*n = 0. What is n?
-1/19, 0, 1
Find k such that k**2/3 - 2*k/3 - 1 = 0.
-1, 3
Factor 8*x**3/7 + 1102*x**2/7 + 37812*x/7 - 9522/7.
2*(x + 69)**2*(4*x - 1)/7
Let -5*f**2/3 - 15*f + 260/3 = 0. Calculate f.
-13, 4
Factor y**3 - y**2 - 6*y.
y*(y - 3)*(y + 2)
Determine b so that 5*b**5 - 95*b**4 + 495*b**3 - 405*b**2 = 0.
0, 1, 9
Let -2*x**3/9 - 10*x**2/3 - 14*x - 98/9 = 0. Calculate x.
-7, -1
Factor -2*d**2/3 + 100*d/3 - 94.
-2*(d - 47)*(d - 3)/3
Factor i**2/12 + 38*i/3 + 151/12.
(i + 1)*(i + 151)/12
Suppose q**5/12 + 4*q**4/3 + 19*q**3/6 - 4*q**2/3 - 13*q/4 = 0. What is q?
-13, -3, -1, 0, 1
Find t such that 3*t**4/11 + 17*t**3 + 50*t**2/11 - 68*t - 248/11 = 0.
-62, -2, -1/3, 2
Factor y**3/2 + 5*y**2/2 + y - 4.
(y - 1)*(y + 2)*(y + 4)/2
Find j, given that -2*j**2/19 + 30*j/19 + 500/19 = 0.
-10, 25
Factor -900*x**2 - 15960*x - 70756.
-4*(15*x + 133)**2
Determine a, given that 5324*a**5/5 - 5808*a**4/5 + 2112*a**3/5 - 256*a**2/5 = 0.
0, 4/11
Factor -5*p**3/6 - 25*p**2/3 + 45*p/2 + 30.
-5*(p - 3)*(p + 1)*(p + 12)/6
Let v**5/4 + v**4/2 - 9*v**3/4 - 9*v**2/2 = 0. Calculate v.
-3, -2, 0, 3
Factor x**5/5 + 81*x**4/5 + 536*x**3/5 + 1352*x**2/5 + 1488*x/5 + 592/5.
(x + 1)*(x + 2)**3*(x + 74)/5
Factor -b**2 - 970*b - 1936.
-(b + 2)*(b + 968)
Factor 3*c**3 + 123*c**2 - 867*c - 987.
3*(c - 7)*(c + 1)*(c + 47)
Determine z so that -4*z**2 + 36*z + 544 = 0.
-8, 17
Factor 3*u**4/4 - 17*u**3/4 + 11*u**2/2 - 2*u.
u*(u - 4)*(u - 1)*(3*u - 2)/4
Factor 8*h**3 - 10*h**2 - 208*h + 210.
2*(h - 1)*(h + 5)*(4*h - 21)
Determine t, given that -4*t**5/3 + 140*t**4 - 14048*t**3/3 + 160064*t**2/3 - 214016*t + 495616/3 = 0.
1, 8, 44
Suppose 8*t**3 + 58*t**2 - 466*t - 120 = 0. Calculate t.
-12, -1/4, 5
Find a such that a**4/4 + 4*a**3 + 21*a**2/2 + 10*a + 13/4 = 0.
-13, -1
Determine d, given that -4*d**3 + 152*d**2 = 0.
0, 38
Suppose 2*t**4 + 14*t**3 + 30*t**2 + 26*t + 8 = 0. Calculate t.
-4, -1
Find m, given that -m**5/6 + 7*m**4/3 + 41*m**3/6 - 71*m**2/3 - 20*m/3 + 64/3 = 0.
-4, -1, 1, 2, 16
Suppose 6912*c**4 - 6240*c**3 + 1188*c**2 + 567*c/2 - 81 = 0. What is c?
-2/9, 3/8
Factor k**3/4 - k**2/2 - k/4 + 1/2.
(k - 2)*(k - 1)*(k + 1)/4
Solve 3*f**2/5 - 5682*f/5 + 2690427/5 = 0.
947
Factor 2*u**3/13 - 154*u**2/13 - 130*u - 4350/13.
2*(u - 87)*(u + 5)**2/13
Factor m**2/10 + 7*m/5.
m*(m + 14)/10
Factor 3*o**5 + 18*o**4 + 27*o**3 + 12*o**2.
3*o**2*(o + 1)**2*(o + 4)
Find s, given that 111*s**2 + 771*s - 42 = 0.
-7, 2/37
What is g in 2*g**3 - 510*g**2 - 2*g + 510 = 0?
-1, 1, 255
Factor -u**2 + 236*u + 1952.
-(u - 244)*(u + 8)
Find o, given that -5*o**4 + 1685*o**3 - 196020*o**2 + 8573040*o - 81881280 = 0.
13, 108
Suppose -a**5/6 - a**4/3 + a**3/6 + a**2/3 = 0. Calculate a.
-2, -1, 0, 1
Factor 6*u**2 - 598*u/3 + 44.
2*(u - 33)*(9*u - 2)/3
Factor 2*c**3/13 - 66*c**2/13 + 630*c/13 - 1350/13.
2*(c - 15)**2*(c - 3)/13
Solve -4*z**4 - 184*z**3 + 380*z**2 - 192*z = 0.
-48, 0, 1
What is k in k**3 - 79*k**2 + 504*k = 0?
0, 7, 72
Factor 23120*a**2 - 22440*a + 5445.
5*(68*a - 33)**2
Factor 4*b**2/3 + 20*b/3 - 48.
4*(b - 4)*(b + 9)/3
Factor -20*m**3 - 45*m**2 + 50*m + 15.
-5*(m - 1)*(m + 3)*(4*m + 1)
Suppose 6*s**4/13 + 112*s**3/13 + 580*s**2/13 + 848*s/13 + 374/13 = 0. What is s?
-11, -17/3, -1
Suppose -2*f**3 - 144*f**2 - 2730*f - 4900 = 0. What is f?
-35, -2
Solve 2*q**5 + 62*q**4/3 + 98*q**3/3 - 118*q**2/3 - 16*q = 0 for q.
-8, -3, -1/3, 0, 1
Suppose h**3/4 + 343*h**2/4 + 171*h/2 = 0. Calculate h.
-342, -1, 0
Find x such that x**3/5 + 657*x**2/5 + 143883*x/5 + 10503459/5 = 0.
-219
Factor -w**2/3 - 82*w/3.
-w*(w + 82)/3
Let p**4 - 8*p**3 + 11*p**2 + 8*p - 12 = 0. What is p?
-1, 1, 2, 6
Determine r, given that r**5/2 + 5*r**4 + 7*r**3/2 - 9*r**2 = 0.
-9, -2, 0, 1
Factor -4*j**3/9 - 10*j**2/9 + 28*j/9 + 16/9.
-2*(j - 2)*(j + 4)*(2*j + 1)/9
Find p such that 84*p**4 + 1396*p**3 + 5460*p**2 + 2988*p + 440 = 0.
-11, -5, -1/3, -2/7
Determine l so that -14*l**2 - 130*l + 100 = 0.
-10, 5/7
Factor r**3/3 - 28*r**2 + 83*r/3.
r*(r - 83)*(r - 1)/3
Let z**3/5 + 18*z**2/5 - 39*z/5 + 4 = 0. What is z?
-20, 1
Suppose 3*w**5/4 - 6*w**4 + 69*w**3/4 - 21*w**2 + 9*w = 0. Calculate w.
0, 1, 2, 3
Determine n so that -4*n**5 - 120*n**4 - 1112*n**3 - 3232*n**2 - 3588*n - 1352 = 0.
-13, -2, -1
Suppose i**2/5 - 4292*i/5 + 4605316/5 = 0. Calculate i.
2146
Solve 2*y**3/11 - 346*y**2/11 + 14790*y/11 + 15138/11 = 0 for y.
-1, 87
Factor 2*x**2/15 + 2*x/15 - 4/5.
2*(x - 2)*(x + 3)/15
Factor p**2/5 - 11*p/5.
p*(p - 11)/5
Determine v so that 2*v**4/15 - 76*v**3/3 + 16856*v**2/15 + 38416*v/5 = 0.
-6, 0, 98
Factor -x**5/5 - 99*x**4/5 - 2499*x**3/5 - 2401*x**2/5.
-x**2*(x + 1)*(x + 49)**2/5
Find t such that 15*t**5 + 280*t**4 + 405*t**3 - 360*t**2 - 340*t = 0.
-17, -2, -2/3, 0, 1
Factor 2*a**4/13 - 952*a**3/13 + 169932*a**2/13 - 13481272*a/13 + 401067842/13.
2*(a - 119)**4/13
Factor -2*y**2/5 + 2*y + 20.
-2*(y - 10)*(y + 5)/5
Factor 2*a**3/3 - 2*a**2/3 - 6*a + 6.
2*(a - 3)*(a - 1)*(a + 3)/3
Solve -2*k**4 - 224*k**3 - 6490*k**2 - 12100*k = 0 for k.
-55, -2, 0
What is d in -8*d**4/13 + 10*d**3 + 648*d**2/13 - 970*d/13 + 200/13 = 0?
-5, 1/4, 1, 20
Factor -2*s**2/9 + 80*s/3 - 800.
-2*(s - 60)**2/9
Solve 2*r**5/5 - 41*r**4/5 + 69*r**3/5 + 359*r**2/5 + 337*r/5 + 18 = 0.
-1, -1/2, 5, 18
Solve 7*n**5 - 817*n**4 - 241*n**3 + 817*n**2 + 234*n = 0 for n.
-1, -2/7, 0, 1, 117
Factor -2*i**3/7 + 1258*i**2 - 8