 0
Solve 12*s**5 + 400*s**4 + 3192*s**3 - 2448*s**2 - 1156*s = 0 for s.
-17, -1/3, 0, 1
Let 7*c**3/4 - 29*c**2/4 - 143*c/4 + 21/4 = 0. What is c?
-3, 1/7, 7
Let 4*u**3/7 - 32*u**2/7 - 16*u/7 + 128/7 = 0. What is u?
-2, 2, 8
Find k, given that k**4 + 33*k**3 - 7*k**2 - 225*k + 198 = 0.
-33, -3, 1, 2
Find d, given that 12*d**4 - 32*d**3 - 236*d**2 - 48*d + 144 = 0.
-3, -1, 2/3, 6
What is p in 16*p**5 - 172*p**4/5 - 216*p**3/5 + 356*p**2/5 + 272*p/5 - 48/5 = 0?
-1, 3/20, 2
Let -3*y**5/4 - 3*y**4/4 + 39*y**3/4 + 75*y**2/4 + 9*y = 0. Calculate y.
-3, -1, 0, 4
Determine b, given that -3*b**5/7 - 9*b**4/7 + 33*b**3/7 + 81*b**2/7 - 30*b/7 - 72/7 = 0.
-4, -2, -1, 1, 3
Solve -i**5/3 + 8*i**4/3 - 6*i**3 + 9*i = 0 for i.
-1, 0, 3
Factor -2*b**4 + 13*b**3 - 15*b**2 - b + 5.
-(b - 5)*(b - 1)**2*(2*b + 1)
Factor -2*v**4/3 - 36*v**3 + 152*v**2 - 464*v/3.
-2*v*(v - 2)**2*(v + 58)/3
Solve -2*r**5/15 - 134*r**4/15 - 678*r**3/5 + 1414*r**2/3 - 980*r/3 = 0 for r.
-35, 0, 1, 2
Factor 6*q**2/5 - 5082*q/5 - 5088/5.
6*(q - 848)*(q + 1)/5
Solve h**2 - 172*h + 835 = 0 for h.
5, 167
Factor 2*m**3/17 - 22*m**2/17 - 50*m/17 - 26/17.
2*(m - 13)*(m + 1)**2/17
Determine b so that -2*b**2 - 102*b + 1080 = 0.
-60, 9
Let -3*f**4 + 195*f**3 + 198*f**2 = 0. What is f?
-1, 0, 66
Solve -5*k**4/4 + 3*k**3/4 + 11*k**2/2 - 3*k - 2 = 0.
-2, -2/5, 1, 2
Factor l**4 + 80*l**3 + 1736*l**2 + 4864*l - 17328.
(l - 2)*(l + 6)*(l + 38)**2
Determine z, given that -3*z**4 + 120*z**3 - 1746*z**2 + 10920*z - 24843 = 0.
7, 13
Factor -b**5/12 + 25*b**4/6 + 13*b**3 + 79*b**2/6 + 53*b/12.
-b*(b - 53)*(b + 1)**3/12
Find u such that -2*u**3 + 1170*u**2 - 228150*u + 14829750 = 0.
195
Determine n so that -n**3/3 - 1676*n**2/3 - 3349*n/3 - 558 = 0.
-1674, -1
Factor 400*l**4 - 4040*l**3 + 4001*l**2 - 370*l + 9.
(l - 9)*(l - 1)*(20*l - 1)**2
Factor -5*c**3 + 25*c**2 + 10*c - 120.
-5*(c - 4)*(c - 3)*(c + 2)
Factor 14*m**2 + 118*m - 132.
2*(m - 1)*(7*m + 66)
Find w, given that 3*w**4 - 150*w**3 + 432*w**2 - 426*w + 141 = 0.
1, 47
Factor 2*q**4 + 2188*q**3 - 6576*q**2 + 6580*q - 2194.
2*(q - 1)**3*(q + 1097)
Find g such that -2*g**5/13 + 100*g**4/13 + 206*g**3/13 + 8*g**2 = 0.
-1, 0, 52
Suppose 26*w**2/9 - 146*w/3 - 68/9 = 0. Calculate w.
-2/13, 17
Determine x so that 110*x**2 + 766*x - 28 = 0.
-7, 2/55
Find t, given that 2*t**4 + 18*t**3 + 30*t**2 + 14*t = 0.
-7, -1, 0
Factor 25*k**3 - 20*k**2.
5*k**2*(5*k - 4)
Factor -2*a**5 - 60*a**4 - 268*a**3 - 464*a**2 - 354*a - 100.
-2*(a + 1)**3*(a + 2)*(a + 25)
Factor -5*d**3 + 1185*d**2 - 93615*d + 2465195.
-5*(d - 79)**3
What is o in 2*o**2/3 + 1210*o/3 - 2428/3 = 0?
-607, 2
Factor g**5 + 3*g**4 + 3*g**3 + g**2.
g**2*(g + 1)**3
Let -y**4/2 - 4*y**3 + 37*y**2/2 + 16*y - 66 = 0. What is y?
-11, -2, 2, 3
Find h such that -2*h**3 - 36*h**2 - 64*h = 0.
-16, -2, 0
Suppose n**5/3 - 26*n**4/3 + 68*n**3 - 374*n**2/3 - 605*n/3 = 0. Calculate n.
-1, 0, 5, 11
Suppose -2*s**4/7 - 1376*s**3/7 + 5528*s**2/7 - 5536*s/7 = 0. Calculate s.
-692, 0, 2
Factor -2*j**4 - 124*j**3 - 1922*j**2.
-2*j**2*(j + 31)**2
Determine x, given that 4*x**5/7 - 20*x**4/7 + 4*x**3 - 12*x**2/7 = 0.
0, 1, 3
Let 2*t**3/11 + 126*t**2/11 - 128*t/11 = 0. Calculate t.
-64, 0, 1
Determine h, given that h**5/2 - 27*h**4/2 - 91*h**3/2 + 27*h**2/2 + 45*h = 0.
-3, -1, 0, 1, 30
Factor f**2/11 + 179*f/11.
f*(f + 179)/11
Factor 3*w**2 + 87*w - 186.
3*(w - 2)*(w + 31)
Factor -648*q**2/19 + 2*q/19.
-2*q*(324*q - 1)/19
Suppose -98596*h**3 + 204728*h**2 - 15216*h + 288 = 0. Calculate h.
6/157, 2
Factor 7*v**3/2 + 66*v**2 - 19*v/2.
v*(v + 19)*(7*v - 1)/2
Factor -2*q**2/13 - 524*q/13 - 34322/13.
-2*(q + 131)**2/13
Factor 3*r**2 + 3186*r + 845883.
3*(r + 531)**2
What is g in 3*g**4 + 21*g**3 + 18*g**2 - 96*g - 96 = 0?
-4, -1, 2
Factor -n**3 - 136*n**2 + 275*n - 138.
-(n - 1)**2*(n + 138)
Let 4*j**5 - 68*j**4 + 120*j**3 = 0. Calculate j.
0, 2, 15
Determine u so that 5*u**2/4 - 453*u/4 - 91/2 = 0.
-2/5, 91
Let -2*h**3 + 22*h**2 + 172*h - 192 = 0. Calculate h.
-6, 1, 16
Factor 42*w**2/5 + 51*w + 18/5.
3*(w + 6)*(14*w + 1)/5
Suppose -3*n**5 + 24*n**4 + 3*n**3 - 24*n**2 = 0. Calculate n.
-1, 0, 1, 8
Factor -2*m**4/5 - 1144*m**3/5 - 43548*m**2 - 13716856*m/5 + 13935742/5.
-2*(m - 1)*(m + 191)**3/5
Factor q**3 + 917*q**2 + 210680*q + 209764.
(q + 1)*(q + 458)**2
Determine c, given that 4*c**5/9 + 68*c**4/9 + 448*c**3/9 + 1408*c**2/9 + 2048*c/9 + 1024/9 = 0.
-4, -1
Solve -2*m**5 + 62*m**4 + 960*m**3 + 3096*m**2 = 0 for m.
-6, 0, 43
Find l such that -2*l**4/11 - 166*l**3/11 + 346*l**2/11 + 510*l/11 = 0.
-85, -1, 0, 3
What is v in -v**5/3 + 11*v**4/3 + 5*v**3/3 - 55*v**2/3 - 4*v/3 + 44/3 = 0?
-2, -1, 1, 2, 11
Factor 3*t**2 + 6*t.
3*t*(t + 2)
Find v such that -5*v**3 - 30*v**2 + 5*v + 30 = 0.
-6, -1, 1
Factor 3*x**5/4 - 12*x**4 - 24*x**3 + 576*x**2 + 1728*x.
3*x*(x - 12)**2*(x + 4)**2/4
Determine t, given that t**4 - 13*t**3 + 23*t**2 - 11*t = 0.
0, 1, 11
Solve 3*f**5 - 132*f**4 + 588*f**3 + 20682*f**2 + 18225*f - 39366 = 0 for f.
-9, -2, 1, 27
Factor -c**2/4 + 23*c - 205.
-(c - 82)*(c - 10)/4
Let 2*q**2/13 - 108*q/13 + 1360/13 = 0. Calculate q.
20, 34
Factor 4*x**5 - 40*x**4 + 128*x**3 - 152*x**2 + 60*x.
4*x*(x - 5)*(x - 3)*(x - 1)**2
Let -3*g**4/4 + 15*g**3/4 - 3*g**2 = 0. Calculate g.
0, 1, 4
Determine l so that l**5/3 + l**4/3 - 10*l**3/3 + 8*l**2/3 = 0.
-4, 0, 1, 2
Factor 3*t**2 + 106*t/3 - 8.
(t + 12)*(9*t - 2)/3
Find t such that 9*t**3/8 - 3*t**2/8 - 81*t/8 + 27/8 = 0.
-3, 1/3, 3
Let -5*m**5 + 65*m**4 + 165*m**3 - 225*m**2 = 0. What is m?
-3, 0, 1, 15
Let -q**2 + q + 6 = 0. What is q?
-2, 3
Factor -50*g**3 - 1410*g**2 + 1152*g - 232.
-2*(g + 29)*(5*g - 2)**2
Factor 2*i**2/5 + 36*i + 810.
2*(i + 45)**2/5
Find i, given that i**5 + 5*i**4 - 2*i**3 - 28*i**2 - 8*i + 32 = 0.
-4, -2, 1, 2
Factor 246*h**3 - 1406*h**2 + 888*h - 40.
2*(h - 5)*(3*h - 2)*(41*h - 2)
Let -18*u**5/7 + 58*u**4/7 - 48*u**3/7 + 8*u**2/7 = 0. Calculate u.
0, 2/9, 1, 2
Factor -2*t**3/9 + 14*t**2 - 784*t/3 + 13720/9.
-2*(t - 35)*(t - 14)**2/9
Solve -x**2/2 + 41*x + 172 = 0 for x.
-4, 86
Let 2*u**4/5 - 54*u**3/5 + 74*u**2 - 858*u/5 + 108 = 0. What is u?
1, 3, 5, 18
Factor -3*z**3 + 17*z**2 - 18*z - 8.
-(z - 4)*(z - 2)*(3*z + 1)
Find l such that 3*l**3 - 12168*l**2 + 16451136*l - 7413978624 = 0.
1352
Suppose 2*f**3/13 + 198*f**2/13 + 372*f/13 - 1552/13 = 0. What is f?
-97, -4, 2
Factor 3*f**5/2 - 297*f**4 + 22197*f**3 - 749112*f**2 + 20117979*f/2 - 17294403.
3*(f - 49)**4*(f - 2)/2
Factor -2*o**3/5 + 4*o**2/5 + 58*o/5 + 84/5.
-2*(o - 7)*(o + 2)*(o + 3)/5
Factor -2*c**2 + 18*c - 36.
-2*(c - 6)*(c - 3)
What is z in 296*z**2/11 + 298*z/11 + 2/11 = 0?
-1, -1/148
Solve 6*j**2 - 280*j + 184 = 0 for j.
2/3, 46
Factor 5*m**4 + 90*m**3 + 205*m**2 - 300*m.
5*m*(m - 1)*(m + 4)*(m + 15)
Factor -5*c**4 - 5*c**3 + 10*c**2.
-5*c**2*(c - 1)*(c + 2)
Factor 12*s**3/5 - 327*s**2/5 + 420*s + 1764/5.
3*(s - 14)**2*(4*s + 3)/5
Suppose -256*r**5 - 122176*r**4 - 14531248*r**3 + 10944292*r**2 - 2739896*r + 228484 = 0. What is r?
-239, 1/4
Solve -2*p**4/9 - 32*p**3/3 - 92*p**2 + 864*p - 1458 = 0 for p.
-27, 3
Determine h, given that -3*h**4 - 159*h**3 - 456*h**2 - 300*h = 0.
-50, -2, -1, 0
What is l in 2*l**2 - 18*l + 16 = 0?
1, 8
Factor 3*t**3/7 - 8*t**2 - 79*t/7 - 20/7.
(t - 20)*(t + 1)*(3*t + 1)/7
Solve -7*c**3/11 + 93*c**2/11 - 26*c/11 = 0.
0, 2/7, 13
Factor -2*i**5 - 4*i**4 + 4*i**2 + 2*i.
-2*i*(i - 1)*(i + 1)**3
Factor -10580*k**3 + 736*k**2 + 231*k + 9.
-(5*k - 1)*(46*k + 3)**2
Factor -4*s**3 + 1024*s**2 - 2036*s + 1016.
-4*(s - 254)*(s - 1)**2
Solve 3*f**4 + 48*f**3 = 0.
-16, 0
Factor -5*a**2 - 525*a - 520.
-5*(a + 1)*(a + 104)
Factor i**4/2 - 18*i**3 + 34*i**2.
i**2*(i - 34)*(i - 2)/2
Factor 3*p**3/8 - 21*p**2/4 + 147*p/8.
3*p*(p - 7)**2/8
Find k, given that 25*k**5 + 70*k**4 + 15*k**3 - 70*k**2 - 40*k = 0.
-2, -1, -4/5, 0, 1
Factor 2*n**2/7 - 2194*n/7 - 628.
2*(n - 1099)*(n + 2)/7
Solve -4*i**5 + 24*i**4 + 32*i**3 - 192*i**2 - 64*i + 384 = 0.
-2, 2, 6
Solve -2*b**3/11 - 12*b**2/11 - 10*b/11 = 0 for b.
-5, -1, 0
What is s in -s**3/5 + 5*s**2 - 208*s/5 + 576/5 = 0?
8, 9
Factor 121*g**2/3 - 404*g + 20/3.
(g - 10)*(121*g - 2)/3
Factor -5*n**2 - 306*n - 360.
-(n + 60)*(5*n + 6)
Factor -3*j**2 + 564*j.
-3*j*(j - 188)
Find a such that -39*a**5/2 - 111*a**4/2 + 915*a**3/2 - 1425*a**2/2 + 3