m**2/9 - 32*m/3 - 94/9 = 0.
-47, -1
Determine d, given that 5*d**3 + 145*d**2 + 400*d + 260 = 0.
-26, -2, -1
Determine b, given that -b**5/2 + 16*b**4 - 158*b**3 + 399*b**2 + 1917*b/2 - 1215 = 0.
-2, 1, 9, 15
Find p such that 5*p**4 - 270*p**3 - 900*p**2 + 2590*p - 1425 = 0.
-5, 1, 57
Find n, given that -14*n**5 - 110*n**4 + 632*n**3 - 760*n**2 + 96*n = 0.
-12, 0, 1/7, 2
Factor -2*w**5/5 - 6*w**4 - 20*w**3.
-2*w**3*(w + 5)*(w + 10)/5
Factor -2*x**5/3 + 4*x**4/9 + 2*x**3/9.
-2*x**3*(x - 1)*(3*x + 1)/9
Factor -a**3 + 2455*a**2 - 4906*a.
-a*(a - 2453)*(a - 2)
Find q, given that 3*q**2 - 666*q + 36963 = 0.
111
Factor 20*r**3 + 245*r**2/2 - 125*r - 35/2.
5*(r - 1)*(r + 7)*(8*r + 1)/2
Let 6*s**5/7 + 26*s**4/7 - 68*s**3/7 - 40*s**2/7 + 48*s/7 = 0. What is s?
-6, -1, 0, 2/3, 2
Determine f, given that -2*f**3/3 - 58*f**2/3 - 160*f - 408 = 0.
-17, -6
Determine l, given that -2*l**4/21 + 6*l**3/7 - 8*l**2/3 + 24*l/7 - 32/21 = 0.
1, 2, 4
Suppose i**4/7 - 149*i**3/7 + 148*i**2/7 = 0. Calculate i.
0, 1, 148
Determine o so that -5*o**4 - 25*o**3 + 10*o**2 + 120*o = 0.
-4, -3, 0, 2
Solve z**3 + 38*z**2 - 164*z + 168 = 0.
-42, 2
What is m in 36*m**5 - 702*m**4 - 366*m**3 + 346*m**2/3 + 278*m/3 + 40/3 = 0?
-1/3, 1/2, 20
Suppose 3*z**3 - 291*z**2 - 2208*z + 2496 = 0. Calculate z.
-8, 1, 104
Find g, given that -4*g**4 - 56*g**3 - 28*g**2 + 312*g = 0.
-13, -3, 0, 2
Solve -33*s**4 + 84*s**3 + 1317*s**2 - 2124*s + 756 = 0.
-6, 6/11, 1, 7
Suppose -2*l**3 + 546*l**2 - 2160*l + 2152 = 0. Calculate l.
2, 269
Factor k**2 + 260*k + 16900.
(k + 130)**2
Find j, given that -11*j**2 - 16*j - 5 = 0.
-1, -5/11
Factor -2*t**3 - 60*t**2 - 600*t - 2000.
-2*(t + 10)**3
Solve -2*u**3 - 2178*u**2 - 790614*u - 95664294 = 0 for u.
-363
Determine b so that 3*b**2 + 1338*b + 149187 = 0.
-223
Factor z**4 - 31*z**3 + 360*z**2 - 1856*z + 3584.
(z - 8)**3*(z - 7)
Solve -3*b**2/2 - 75*b/2 - 150 = 0.
-20, -5
Let 2*j**4/3 - 464*j**3 + 240812*j**2/3 + 161936*j + 243602/3 = 0. What is j?
-1, 349
Factor 2*w**5 + 38*w**4 - 84*w**3 + 4*w**2 + 82*w - 42.
2*(w - 1)**3*(w + 1)*(w + 21)
Factor -2*t**4 + 60*t**3 - 312*t**2 + 592*t - 384.
-2*(t - 24)*(t - 2)**3
Factor -2*b**3/5 - 24*b**2/5 - 18*b/5 + 44/5.
-2*(b - 1)*(b + 2)*(b + 11)/5
Let 2*t**3/3 - 134*t**2 = 0. Calculate t.
0, 201
Determine x so that x**3/2 - 6*x**2 - 80*x = 0.
-8, 0, 20
Suppose 2*t**2/3 - 340*t + 1018/3 = 0. What is t?
1, 509
Solve -2*v**5/11 - 64*v**4/11 - 314*v**3/11 - 4*v**2/11 + 1216*v/11 - 832/11 = 0 for v.
-26, -4, 1
What is m in -m**3/4 - 37*m**2/4 - 9*m = 0?
-36, -1, 0
Determine z so that 7*z**2/4 - 34*z + 57/4 = 0.
3/7, 19
Factor 3*v**4/5 + 6*v**3/5 - 57*v**2/5 + 84*v/5 - 36/5.
3*(v - 2)*(v - 1)**2*(v + 6)/5
Factor f**3/2 + 183*f**2/2 + 11163*f/2 + 226981/2.
(f + 61)**3/2
Suppose 5*s**3 + 2400*s**2 + 384000*s + 20480000 = 0. What is s?
-160
Factor -28*m**2 - 744*m + 324.
-4*(m + 27)*(7*m - 3)
Factor -2*g**3/5 + 14*g**2/5 - 28*g/5 + 16/5.
-2*(g - 4)*(g - 2)*(g - 1)/5
Factor 2*d**3/13 + 1154*d**2/13 - 4640*d/13 + 4648/13.
2*(d - 2)**2*(d + 581)/13
Factor 3*y**5 - 6*y**4 - 21*y**3 - 12*y**2.
3*y**2*(y - 4)*(y + 1)**2
Find l such that l**5 - 18*l**4 - 2*l**3 + 36*l**2 + l - 18 = 0.
-1, 1, 18
What is w in w**5/5 + 2*w**4 + 4*w**3 - 2*w**2 - 21*w/5 = 0?
-7, -3, -1, 0, 1
Find s such that 5*s**5 + 40*s**4 + 90*s**3 + 20*s**2 - 95*s - 60 = 0.
-4, -3, -1, 1
Factor 2*d**3 + 500*d**2 - 1006*d + 504.
2*(d - 1)**2*(d + 252)
Factor 2*a**3/7 + 100*a**2/7 + 1426*a/7 + 4232/7.
2*(a + 4)*(a + 23)**2/7
Factor -4*v**2 + 2848*v - 506944.
-4*(v - 356)**2
Find u, given that 4*u**4/3 - 2*u**3/3 - 28*u**2 - 38*u/3 + 40/3 = 0.
-4, -1, 1/2, 5
Determine u so that 2*u**5 + 2*u**4 - 14*u**3 - 2*u**2 + 12*u = 0.
-3, -1, 0, 1, 2
Let -2*h**4 + 16*h**3 + 6*h**2 - 52*h + 32 = 0. Calculate h.
-2, 1, 8
Factor -u**2 + 112*u + 1625.
-(u - 125)*(u + 13)
Let -4*c**5 + 52*c**3 + 64*c**2 - 48*c - 64 = 0. Calculate c.
-2, -1, 1, 4
Determine q, given that -2*q**4/7 + 1500*q**3/7 - 282746*q**2/7 + 561000*q/7 - 279752/7 = 0.
1, 374
Find k, given that -39*k**4/4 - 31*k**3 + 7*k**2/4 + 20*k - 3 = 0.
-3, -1, 2/13, 2/3
Factor 5*o**3 + 45*o**2 + 100*o + 60.
5*(o + 1)*(o + 2)*(o + 6)
Solve 2*w**4 - 86*w**3 + 166*w**2 - 82*w = 0.
0, 1, 41
Factor w**2 + 315*w.
w*(w + 315)
Suppose 4*f**3 - 156*f**2 + 576*f - 560 = 0. Calculate f.
2, 35
Factor -2*z**2/15 - 14*z/15.
-2*z*(z + 7)/15
Factor 5*s**4 + 55*s**3.
5*s**3*(s + 11)
Factor 4*n**2 + 176*n + 336.
4*(n + 2)*(n + 42)
What is y in 2*y**2 + 86*y + 164 = 0?
-41, -2
Let 3*s**3/8 - 111*s**2/4 - 687*s/8 - 231/4 = 0. Calculate s.
-2, -1, 77
Suppose 2*b**2/7 + 444*b/7 + 24642/7 = 0. Calculate b.
-111
Suppose 5*y**4 - 30*y**2 + 40*y - 15 = 0. What is y?
-3, 1
Let u**2/3 + 1136*u/3 - 2276/3 = 0. What is u?
-1138, 2
Solve -2*u**3/3 + 4*u**2 + 504*u - 6480 = 0 for u.
-30, 18
What is c in -c**5/6 - 11*c**4/2 - 31*c**3/6 + 11*c**2/2 + 16*c/3 = 0?
-32, -1, 0, 1
Factor 6*x**3/13 + 4*x**2/13 - 24*x/13 - 16/13.
2*(x - 2)*(x + 2)*(3*x + 2)/13
What is g in 2*g**3/7 - 2*g**2 + 22*g/7 - 10/7 = 0?
1, 5
Determine l so that -4*l**4 - 56*l**3 - 244*l**2 - 336*l - 144 = 0.
-6, -1
Find t, given that t**3/8 - 1499*t**2/8 - 3001*t/8 - 1501/8 = 0.
-1, 1501
Factor -3*p**3 + 42*p**2 + 720*p.
-3*p*(p - 24)*(p + 10)
Suppose -2*t**2/19 + 140*t - 46550 = 0. Calculate t.
665
What is g in 2*g**3 + 46*g**2 + 112*g - 1960 = 0?
-14, 5
Find u such that -2*u**2/13 + 480*u/13 - 28800/13 = 0.
120
Determine b, given that 3*b**4 + 17*b**3 + 4*b**2 - 76*b - 48 = 0.
-4, -3, -2/3, 2
Factor -2*l**4/3 + 324*l**3 - 646*l**2 + 968*l/3.
-2*l*(l - 484)*(l - 1)**2/3
Find x such that -2*x**4 + 116*x**3 - 1794*x**2 + 3248*x - 1568 = 0.
1, 28
Factor -2*i**2 - 92*i + 94.
-2*(i - 1)*(i + 47)
Factor -a**3/2 - 20*a**2 + 147*a/2 + 387.
-(a - 6)*(a + 3)*(a + 43)/2
Solve -4*m**2 - 352*m - 7744 = 0.
-44
Determine q so that q**3 - 1196*q**2 - q + 1196 = 0.
-1, 1, 1196
Factor -3*q**3 + 3*q**2 + 12*q - 12.
-3*(q - 2)*(q - 1)*(q + 2)
What is u in -5*u**2 - 21270*u - 22620645 = 0?
-2127
Factor -3*r**5 + 132*r**4 - 1740*r**3 + 3648*r**2 + 39936*r + 49152.
-3*(r - 16)**3*(r + 2)**2
Suppose -x**3/7 - 223*x**2/7 - 12543*x/7 - 12321/7 = 0. Calculate x.
-111, -1
Let -4*r**2 + 768*r - 36864 = 0. What is r?
96
Solve -5*d**5 - 455*d**4 + 945*d**3 + 1375*d**2 - 1880*d - 1860 = 0.
-93, -1, 2
Suppose -2*z**2 + 242*z + 244 = 0. What is z?
-1, 122
Factor 3*s**3/8 - 3*s**2/8 - 3*s + 9/2.
3*(s - 2)**2*(s + 3)/8
Solve -3*n**5 - 15*n**4 - 27*n**3 - 21*n**2 - 6*n = 0.
-2, -1, 0
Factor 2*s**3/17 - 84*s**2/17 + 58*s/17 + 984/17.
2*(s - 41)*(s - 4)*(s + 3)/17
Factor 4*y**3/7 - 130*y**2/7 + 42*y + 180/7.
2*(y - 30)*(y - 3)*(2*y + 1)/7
Suppose -3*p**5 - 36*p**4 + 177*p**3 - 234*p**2 + 96*p = 0. What is p?
-16, 0, 1, 2
Determine s, given that s**3/5 + 27*s**2/5 + 26*s/5 = 0.
-26, -1, 0
Find d, given that -5*d**2 - 280*d - 3920 = 0.
-28
Suppose -3*f**3 - 54*f**2 - 315*f - 588 = 0. Calculate f.
-7, -4
Factor 27*z**3 + 14802*z**2 + 3288*z.
3*z*(z + 548)*(9*z + 2)
Factor -2*d**2/11 - 100*d/11 + 102/11.
-2*(d - 1)*(d + 51)/11
Factor n**2/3 + 7*n/3 - 8/3.
(n - 1)*(n + 8)/3
Factor 5*o**4 - 210*o**3 - 215*o**2.
5*o**2*(o - 43)*(o + 1)
Determine n so that -4*n**2/3 + 760*n/3 - 36100/3 = 0.
95
Factor -l**3 + 11*l**2 + 25*l + 13.
-(l - 13)*(l + 1)**2
Find k such that 9*k**5 - 48*k**4 + 63*k**3 + 12*k**2 - 36*k = 0.
-2/3, 0, 1, 2, 3
Find b such that b**3 - 158*b**2 + 6080*b + 12800 = 0.
-2, 80
What is d in -d**2 - 17*d + 60 = 0?
-20, 3
Factor -m**3/4 - 12*m**2 - 525*m/4 - 833/2.
-(m + 7)**2*(m + 34)/4
Determine k so that 128164*k**2 + 2864*k + 16 = 0.
-2/179
What is w in -2*w**4 + 46*w**3 - 390*w**2 + 1442*w - 1960 = 0?
4, 5, 7
Factor -2*g**3/23 + 42*g**2/23 + 306*g/23 + 486/23.
-2*(g - 27)*(g + 3)**2/23
Determine w so that -4*w**4/11 + 18*w**3 - 282*w**2/11 - 292*w/11 + 192/11 = 0.
-1, 1/2, 2, 48
Factor 5*x**4 - 30*x**3 - 40*x**2 + 30*x + 35.
5*(x - 7)*(x - 1)*(x + 1)**2
Factor -98*t**3 + 2590*t**2 + 1504*t + 216.
-2*(t - 27)*(7*t + 2)**2
Determine f so that -2*f**3 - 220*f**2 + 3904*f - 16128 = 0.
-126, 8
Let 2*b**5/3 + 2*b**4/3 - 6*b**3 - 6*b**2 = 0. Calculate b.
-3, -1, 0, 3
Factor 4*l**2 - 5976*l + 2232036.
4*(l - 747)**2
Let -2*n**2/9 - 842*n/9 - 280/3 = 0. What is n?
-420, -1
Find m, given that -m**5/9 - 4*m**4/9 + 76*m**3/9 + 1