
2*(n + 4)**2
Factor 5*s**4 + 10*s**3 - 10*s - 5.
5*(s - 1)*(s + 1)**3
Solve s**5 - 7*s**4 - 10*s**3 + 16*s**2 = 0.
-2, 0, 1, 8
Factor -4*h**3 + 44*h**2 - 128*h + 112.
-4*(h - 7)*(h - 2)**2
Suppose -3*q**2 - 528*q - 23232 = 0. Calculate q.
-88
Determine d, given that -d**2/3 + 7*d + 196/3 = 0.
-7, 28
Find i such that -i**3/3 + 199*i**2/3 - 9595*i/3 - 10201 = 0.
-3, 101
Solve -2*r**5/3 + 2*r**4/3 + 10*r**3/3 - 2*r**2/3 - 16*r/3 - 8/3 = 0.
-1, 2
Factor x**5/2 - x**4/2 - x**3.
x**3*(x - 2)*(x + 1)/2
Determine s so that -5*s**4 + 85*s**3 + 135*s**2 - 2565*s + 4590 = 0.
-6, 3, 17
Solve h**5/6 + h**4/3 - h**3/2 - 2*h**2/3 + 2*h/3 = 0 for h.
-2, 0, 1
Solve -i**3/4 + 3*i**2/2 - 2*i = 0.
0, 2, 4
Factor -375*w**4 - 53475*w**3 - 31995*w**2 - 6393*w - 426.
-3*(w + 142)*(5*w + 1)**3
What is t in 2*t**3 - 182*t**2 + 1598*t + 1782 = 0?
-1, 11, 81
Factor -3*z**3/4 - 69*z**2.
-3*z**2*(z + 92)/4
Solve o**2/4 - 183*o/2 + 33489/4 = 0 for o.
183
Factor k**2/10 + 36*k/5 + 648/5.
(k + 36)**2/10
Determine s, given that 2*s**5/5 - 198*s**4/5 + 4596*s**3/5 + 14996*s**2/5 + 15402*s/5 + 5202/5 = 0.
-1, 51
What is a in -3*a**4 + 72*a**3 - 546*a**2 + 1080*a + 1701 = 0?
-1, 7, 9
Suppose -3*c**2 - 6807*c - 6804 = 0. Calculate c.
-2268, -1
Factor 2*c**3/11 - 76*c**2/11 + 646*c/11 - 52.
2*(c - 26)*(c - 11)*(c - 1)/11
Determine j, given that -5*j**5/3 - 35*j**4 + 10*j**3/3 + 70*j**2 - 5*j/3 - 35 = 0.
-21, -1, 1
Factor 21*o**2 - 363*o + 102.
3*(o - 17)*(7*o - 2)
Suppose 4*h**4 - 88*h**3 - 188*h**2 - 96*h = 0. Calculate h.
-1, 0, 24
Let -2*z**5/5 + 12*z**4/5 + 48*z**3/5 + 52*z**2/5 + 18*z/5 = 0. Calculate z.
-1, 0, 9
Factor -2*w**2 - 132*w - 378.
-2*(w + 3)*(w + 63)
Factor -8*y**2/11 - 216*y/11 - 1458/11.
-2*(2*y + 27)**2/11
Determine h, given that 522*h**3/5 + 417*h**2 + 1554*h/5 - 9/5 = 0.
-3, -1, 1/174
Factor -2*h**4/5 - 1894*h**3/5 - 119826*h**2 - 12740490*h - 25004700.
-2*(h + 2)*(h + 315)**3/5
Let 3*i**5/5 + 44*i**4/5 - 204*i**3/5 - 342*i**2/5 + 1593*i/5 - 486/5 = 0. What is i?
-18, -3, 1/3, 3
Determine m so that -4*m**5/13 + 30*m**4/13 + 454*m**3/13 + 1386*m**2/13 + 918*m/13 - 864/13 = 0.
-3, 1/2, 16
Solve 20*n**3 - 2645*n**2 - 10220*n + 2720 = 0 for n.
-4, 1/4, 136
Let -2*c**5/13 - 38*c**4/13 - 66*c**3/13 + 38*c**2/13 + 68*c/13 = 0. Calculate c.
-17, -2, -1, 0, 1
Factor -27*n**4/2 + 891*n**3/2 + 927*n**2 + 626*n + 140.
-(n - 35)*(3*n + 2)**3/2
Solve -4*t**4 + 232*t**3 - 1092*t**2 + 1712*t - 848 = 0 for t.
1, 2, 53
Let t**2 + 27*t - 28 = 0. Calculate t.
-28, 1
Find x such that 4*x**5 + 8*x**4 - 8*x**3 - 16*x**2 + 4*x + 8 = 0.
-2, -1, 1
Factor -2*y**2 - 104*y - 1352.
-2*(y + 26)**2
Let -4*u**4 - 12*u**3 + 92*u**2 + 300*u + 200 = 0. What is u?
-5, -2, -1, 5
Factor -2*x**4/7 + 26*x**3/7 - 66*x**2/7 + 62*x/7 - 20/7.
-2*(x - 10)*(x - 1)**3/7
Factor 2*m**2 - 350*m.
2*m*(m - 175)
What is p in -75*p**3/2 + p**2/8 = 0?
0, 1/300
Solve 3*o**5 + 9900*o**4 - 39630*o**3 + 59460*o**2 - 39645*o + 9912 = 0.
-3304, 1
Determine h, given that -4*h**3 + 4888*h**2 = 0.
0, 1222
Find r such that r**2/4 + 643*r/4 - 161 = 0.
-644, 1
Find w, given that -5*w**4 + 15*w**3 + 225*w**2 + 405*w = 0.
-3, 0, 9
Let -12*u**3 - 154*u**2 - 552*u - 410 = 0. What is u?
-41/6, -5, -1
Determine f, given that -103058*f**2 + 13620*f - 450 = 0.
15/227
Suppose 2*l**4 + 50*l**3 + 426*l**2 + 1350*l + 972 = 0. Calculate l.
-9, -6, -1
Let -52*t**5/5 - 294*t**4/5 - 148*t**3/5 + 114*t**2/5 + 4*t = 0. What is t?
-5, -1, -2/13, 0, 1/2
Factor -14*d**2/9 + 76*d/9.
-2*d*(7*d - 38)/9
Factor -2*q**3 + 136*q**2 - 602*q - 1764.
-2*(q - 63)*(q - 7)*(q + 2)
Factor -d**4 + 240*d**3 + 971*d**2 + 1218*d + 488.
-(d - 244)*(d + 1)**2*(d + 2)
Let 4*w**5 - 172*w**4 - 360*w**3 = 0. What is w?
-2, 0, 45
Factor -8*p**3 - 294*p**2 - 214*p + 72.
-2*(p + 1)*(p + 36)*(4*p - 1)
Find c, given that -5*c**5 + 18*c**4 - 22*c**3 + 8*c**2 + 3*c - 2 = 0.
-2/5, 1
Find t, given that 5*t**2 - 1780*t = 0.
0, 356
Factor 2*i**2/5 + 10276*i/5 + 13199522/5.
2*(i + 2569)**2/5
Factor -5*o**2 + 2655*o - 2650.
-5*(o - 530)*(o - 1)
Factor -3*n**2 + 1872*n - 292032.
-3*(n - 312)**2
Factor -a**3 + 160*a**2 + 831*a - 990.
-(a - 165)*(a - 1)*(a + 6)
Factor -4*g**3/3 - 28*g**2/3 + 32*g/3.
-4*g*(g - 1)*(g + 8)/3
Solve 105*k**5 + 4255*k**4 + 10275*k**3 + 7825*k**2 + 1320*k - 380 = 0 for k.
-38, -1, -2/3, 1/7
Find a, given that 5*a**5/11 + 43*a**4/11 - 3*a**3 - 119*a**2/11 + 140*a/11 - 36/11 = 0.
-9, -2, 2/5, 1
Solve -2*q**5/5 - 6*q**4/5 + 14*q**3/5 + 22*q**2/5 - 12*q/5 - 16/5 = 0.
-4, -1, 1, 2
Find y such that -12*y**3 - 428*y**2 + 3192*y = 0.
-42, 0, 19/3
Solve -2*l**4/5 + 54*l**3/5 + 304*l**2/5 + 504*l/5 + 256/5 = 0.
-2, -1, 32
What is i in 5*i**2 + 90*i = 0?
-18, 0
Factor -3*i**3/2 + 252*i**2 - 10584*i.
-3*i*(i - 84)**2/2
Determine y, given that 3*y**5/8 + 77*y**4/8 + 349*y**3/4 + 318*y**2 + 368*y + 128 = 0.
-8, -1, -2/3
Factor 3*c**2/2 - 2169*c/2 + 1083.
3*(c - 722)*(c - 1)/2
Suppose -3*y**4/2 - 15*y**3 - 51*y**2/2 - 12*y = 0. Calculate y.
-8, -1, 0
Factor 4*z**3 - 1568*z**2 - 11148*z - 9576.
4*(z - 399)*(z + 1)*(z + 6)
Factor -q**3 + 40*q**2 - 400*q.
-q*(q - 20)**2
Let -4*t**5 + 292*t**4/5 - 228*t**3 + 476*t**2/5 + 392*t/5 = 0. What is t?
-2/5, 0, 1, 7
Let 4*i**3 + 124*i**2 - 4*i - 124 = 0. Calculate i.
-31, -1, 1
What is z in -3*z**5 + 58*z**4 - 253*z**3 - 18*z**2 + 1280*z - 416 = 0?
-2, 1/3, 4, 13
Factor -r**2 - 9*r - 18.
-(r + 3)*(r + 6)
Solve y**5/3 - 44*y**4/3 + 236*y**3/3 - 304*y**2/3 = 0.
0, 2, 4, 38
Solve k**4 + 20*k**3 - 283*k**2 + 502*k - 240 = 0 for k.
-30, 1, 8
Find m, given that 3*m**4/4 + 129*m**3/4 + 330*m**2 - 363*m = 0.
-22, 0, 1
Factor -12309*v**2/7 - 12315*v/7 - 6/7.
-3*(v + 1)*(4103*v + 2)/7
Let -4*c**5 - 856*c**4 - 1696*c**3 + 8*c**2 + 1700*c + 848 = 0. Calculate c.
-212, -1, 1
Factor h**5/2 + 7*h**4 + 5*h**3 - 22*h**2 - 67*h/2 - 13.
(h - 2)*(h + 1)**3*(h + 13)/2
Factor -3*m**3 - 2799*m**2 - 8376*m - 5580.
-3*(m + 1)*(m + 2)*(m + 930)
Factor 10*z**3/13 + 56*z**2/13 - 184*z/13 + 64/13.
2*(z - 2)*(z + 8)*(5*z - 2)/13
Find k, given that -k**5 - 108*k**4 - 3986*k**3 - 53480*k**2 - 113925*k + 171500 = 0.
-35, -4, 1
Let 2*v**5/5 + 18*v**4/5 + 6*v**3 - 58*v**2/5 - 144*v/5 - 72/5 = 0. What is v?
-6, -3, -1, 2
Factor -196*d**4 - 14*d**3 - d**2/4.
-d**2*(28*d + 1)**2/4
Let v**4/3 - 17*v**3/3 - 19*v**2/3 + 17*v/3 + 6 = 0. What is v?
-1, 1, 18
Let -3*a**5/2 + 9*a**4 - 48*a**2 = 0. What is a?
-2, 0, 4
Let -2*p**4 - 100*p**3 + 426*p**2 - 324*p = 0. Calculate p.
-54, 0, 1, 3
Solve -4*k**5 - 6*k**4 - k**3/4 + 3*k**2/2 - k/4 = 0.
-1, 0, 1/4
What is a in 3*a**3 + 2613*a**2 + 567672*a - 570288 = 0?
-436, 1
Suppose -i**4 + 2272*i**3 - 1295032*i**2 + 5152896*i - 5143824 = 0. Calculate i.
2, 1134
Suppose -148*b**2/9 + 446*b/3 - 6 = 0. Calculate b.
3/74, 9
Find z, given that 2*z**2/9 - 160*z/9 + 158/9 = 0.
1, 79
Factor v**3/5 - 399*v**2/5 - 402*v/5 + 160.
(v - 400)*(v - 1)*(v + 2)/5
Let -r**2 + 223*r = 0. What is r?
0, 223
Factor -4*x**2 + 52*x + 56.
-4*(x - 14)*(x + 1)
Suppose 10*t**4/3 + 64*t**3/3 - 166*t**2/3 - 916*t/3 - 112 = 0. Calculate t.
-7, -3, -2/5, 4
Solve -2*u**2/5 - 2452*u/5 + 7374/5 = 0 for u.
-1229, 3
Factor -28*p**4 + 132*p**3 - 72*p**2 - 32*p.
-4*p*(p - 4)*(p - 1)*(7*p + 2)
Determine w, given that w**3/4 + 22*w**2 + 923*w/4 + 209 = 0.
-76, -11, -1
Find v, given that -2*v**5 + 98*v**4 - 186*v**3 - 98*v**2 + 188*v = 0.
-1, 0, 1, 2, 47
Factor 3*y**4/2 + 54*y**3 - 243*y**2 - 13122*y + 177147/2.
3*(y - 9)**2*(y + 27)**2/2
Factor -2*u**5 + 14*u**4 - 18*u**3 - 54*u**2 + 108*u.
-2*u*(u - 3)**3*(u + 2)
Let 2*y**3/11 - 6*y**2/11 - 120*y/11 + 448/11 = 0. What is y?
-8, 4, 7
Suppose 2*b**2 - 70*b + 300 = 0. What is b?
5, 30
Let 2*f**5/11 - 160*f**4/11 - 164*f**3/11 + 160*f**2/11 + 162*f/11 = 0. Calculate f.
-1, 0, 1, 81
Factor 2*z**4/9 + 184*z**3/9 + 4232*z**2/9.
2*z**2*(z + 46)**2/9
Determine b so that 4*b**3 + 112*b**2 + 396*b + 288 = 0.
-24, -3, -1
Suppose 5*i**3 - 65*i**2 - 340*i = 0. What is i?
-4, 0, 17
Solve 6*b**5/17 - 130*b**4/17 + 298*b**3/17 + 138*b**2/17 - 448*b/17 - 152/17 = 0 for b.
-1, -1/3, 2, 19
Factor 2*n**3/3 - 4*n**2/3 - 6*n + 12.
2*(n - 3)*(n - 2)*(n + 3)/3
Let m**4/3 - 2*m**3 - 8*m**2/3 + 2*m + 7/3 = 0. Calculate m.
-1, 1, 7
Factor -5*c**4 - 160*c**3 - 710*c**2 + 9120*c - 16245.
-5*(c - 3)**2*(c + 19)**2
Factor 55*w**2/2 + 1805*w/2 - 165.
5*(