0, -5, 5
What is w in -3*w**5 - 117*w**4 - 1554*w**3 - 6420*w**2 + 19800*w + 156000 = 0?
-13, -10, 4
Determine o so that 30*o**5 - 5006*o**4 + 205920*o**3 + 247976*o**2 - 340032*o + 56448 = 0.
-2, 1/5, 2/3, 84
Factor -2*d**2 + 64760*d.
-2*d*(d - 32380)
Find c, given that 5*c**5 + 3064*c**4 + 64952*c**3 + 315342*c**2 + 200259*c - 53190 = 0.
-591, -15, -6, -1, 1/5
What is r in 50*r**2 + 6220204*r + 497616 = 0?
-124404, -2/25
Factor u**2/10 + 13689*u/10 + 13687/5.
(u + 2)*(u + 13687)/10
Find c, given that -4*c**2/7 + 2292*c/7 - 207920/7 = 0.
113, 460
Solve 19*a**3 - 714*a**2 + 4851*a + 37044 = 0 for a.
-84/19, 21
Determine p so that 4*p**2 + 16340*p - 49056 = 0.
-4088, 3
Determine g so that 3*g**4/7 + 60*g**3/7 + 54*g**2 + 972*g/7 + 891/7 = 0.
-11, -3
Factor -n**3/5 - 265*n**2 - 10516*n/5 + 5268.
-(n - 2)*(n + 10)*(n + 1317)/5
Factor 97*y**2/10 + 456*y - 2304/5.
(y + 48)*(97*y - 96)/10
Factor -g**2/8 - 7547*g/8 + 26439/4.
-(g - 7)*(g + 7554)/8
Suppose -26*y**3/9 - 16282*y**2/3 + 15032*y/9 = 0. What is y?
-1879, 0, 4/13
Solve 2*l**5/9 + 740*l**4/3 + 680684*l**3/9 + 11579264*l**2/3 - 71526526*l/9 + 12035276/3 = 0.
-523, -66, 1
Determine r so that 2*r**2/3 - 28684*r/3 - 143570 = 0.
-15, 14357
Factor -5*f**2 - 310780*f - 4829210420.
-5*(f + 31078)**2
Factor -12675*t**3 - 238160*t**2 - 943068*t + 1710864.
-(3*t - 4)*(65*t + 654)**2
Determine l, given that 2*l**4/5 + 2*l**3/5 - 62*l**2/5 - 2*l/5 + 12 = 0.
-6, -1, 1, 5
Factor r**2/6 - 10241*r/3.
r*(r - 20482)/6
Determine m, given that 3*m**2 + 25791*m - 25794 = 0.
-8598, 1
Find s such that 78*s**4 + 7094*s**3 - 45058*s**2 + 70386*s - 3492 = 0.
-97, 2/39, 3
Solve 5*q**5 + 285*q**4 - 2895*q**3 + 4915*q**2 - 2310*q = 0 for q.
-66, 0, 1, 7
Find b such that -3*b**5 + 1860*b**4 - 259050*b**3 - 9067500*b**2 - 71296875*b = 0.
-15, 0, 325
Factor -5*k**3 - 915*k**2 - 49200*k - 638780.
-5*(k + 19)*(k + 82)**2
Find g, given that 5*g**5 - 2315*g**4 - 14305*g**3 + 110635*g**2 - 197200*g + 103180 = 0.
-11, 1, 2, 469
Factor 4*x**2 + 1216412*x/3 + 270312.
4*(x + 101367)*(3*x + 2)/3
Factor -2*p**3 + 64*p**2 - 552*p + 864.
-2*(p - 18)*(p - 12)*(p - 2)
Factor -60*c**2 + 829808*c/3 - 36880/3.
-4*(c - 4610)*(45*c - 2)/3
Find g such that -1493*g**3/4 + 2985*g**2/4 - 1491*g/4 - 1/4 = 0.
-1/1493, 1
Suppose c**3/2 - 53*c**2/2 + 376*c - 650 = 0. Calculate c.
2, 25, 26
Factor 5*g**5 + 555*g**4 + 13275*g**3 - 121835*g**2.
5*g**2*(g - 7)*(g + 59)**2
Solve -c**3 - 107*c**2 - 106*c = 0.
-106, -1, 0
Let -u**4/5 - 522*u**3/5 + 1048*u**2/5 = 0. Calculate u.
-524, 0, 2
Factor y**2/8 - 1127*y/8 - 1131/2.
(y - 1131)*(y + 4)/8
Find l such that 6*l**4/7 + 668*l**3/7 + 15462*l**2/7 - 10832*l/7 - 5304/7 = 0.
-78, -34, -1/3, 1
Factor l**3/7 - 26*l**2 - 929*l/7 - 1122/7.
(l - 187)*(l + 2)*(l + 3)/7
Factor 3*u**3 + 35001*u**2 - 70011*u + 35007.
3*(u - 1)**2*(u + 11669)
Determine x, given that -2*x**5/3 + 778*x**4/9 - 1966*x**3/9 - 8362*x**2/9 - 2540*x/9 = 0.
-2, -1/3, 0, 5, 127
Find p such that -p**4/4 + 137*p**3/4 - 2799*p**2/4 - 137*p/4 + 700 = 0.
-1, 1, 25, 112
Factor -5*q**4 - 90*q**3 + 975*q**2 - 1660*q + 780.
-5*(q - 6)*(q - 1)**2*(q + 26)
Solve -2*f**2 - 824*f + 54520 = 0 for f.
-470, 58
Factor -s**2 - 4959*s + 4960.
-(s - 1)*(s + 4960)
Find q, given that 10*q**4 - 302*q**3 - 2042*q**2 - 1770*q + 4104 = 0.
-19/5, -3, 1, 36
What is p in p**2/6 - 37*p/2 - 117 = 0?
-6, 117
Factor 5*n**2 - 59640*n + 177846480.
5*(n - 5964)**2
Solve -13*o**3/4 + 1523*o**2/4 - 117*o/2 = 0.
0, 2/13, 117
Determine m so that m**3 - 163716*m**2 - 327435*m - 163718 = 0.
-1, 163718
Determine l so that l**4/8 - 51*l**3 = 0.
0, 408
Factor 4*h**2/5 + 1292*h/5 + 39304/5.
4*(h + 34)*(h + 289)/5
Factor 5*a**2 + 1840150*a + 169307601125.
5*(a + 184015)**2
Factor -p**2 - 3818*p - 3817.
-(p + 1)*(p + 3817)
Solve -5*r**5 - 800*r**4 - 3785*r**3 + 14050*r**2 + 15220*r - 43400 = 0.
-155, -7, -2, 2
Solve 2*n**4/5 - 44*n**3 + 224*n**2 + 2624*n + 19968/5 = 0.
-4, -2, 12, 104
Let z**2/3 - 95104*z/3 + 2261192704/3 = 0. Calculate z.
47552
Factor 5*m**5 + 245*m**4 + 4215*m**3 + 27675*m**2 + 27000*m - 202500.
5*(m - 2)*(m + 6)*(m + 15)**3
Let -16*f**4 + 94*f**3 + 1276*f**2 - 1186*f - 168 = 0. Calculate f.
-7, -1/8, 1, 12
Suppose -2*h**2/9 - 287956*h/9 - 10364832242/9 = 0. What is h?
-71989
Suppose 2*m**4/3 + 462*m**3 + 4108*m**2 + 8176*m/3 - 7296 = 0. Calculate m.
-684, -8, -2, 1
Determine h, given that 2*h**3 + 534*h**2 + 46800*h + 1350648 = 0.
-111, -78
Find g such that 363*g**4 - 6930*g**3 - 34641*g**2 + 646380*g + 3158028 = 0.
-6, 171/11
Find m such that -m**3/2 - 7*m**2/2 + 9*m/2 + 63/2 = 0.
-7, -3, 3
Determine a so that 41212*a**4 - 41220*a**3 - 370900*a**2 + 370980*a - 72 = 0.
-3, 2/10303, 1, 3
What is j in -j**3/3 + 473*j**2/3 - 470*j/3 - 944/3 = 0?
-1, 2, 472
Suppose -4*w**3 - 3336*w**2 + 43956*w - 74536 = 0. What is w?
-847, 2, 11
Suppose -112*j**5 + 572*j**4 + 3636*j**3 - 9020*j**2 + 5404*j - 480 = 0. Calculate j.
-5, 3/28, 1, 8
Factor 676*s**3 + 454896*s**2 - 34995*s + 673.
(s + 673)*(26*s - 1)**2
Determine b, given that -2*b**3 + 20366*b**2 + 81488*b + 81496 = 0.
-2, 10187
Factor -2*c**2/11 - 721584*c/11 - 65085433632/11.
-2*(c + 180396)**2/11
Solve -2*l**5 + 240*l**4 + 1756*l**3 + 2784*l**2 + 1270*l = 0 for l.
-5, -1, 0, 127
Suppose 4*k**5 + 76*k**4 + 352*k**3 + 144*k**2 - 576*k = 0. What is k?
-12, -6, -2, 0, 1
Let -x**2/2 + 24264*x - 294370848 = 0. What is x?
24264
Factor q**4/5 + q**3 - 8*q**2/5 - 12*q/5.
q*(q - 2)*(q + 1)*(q + 6)/5
Let n**2/3 - 1161*n + 3482/3 = 0. Calculate n.
1, 3482
Suppose n**2 + 3064*n + 9183 = 0. Calculate n.
-3061, -3
Factor -5*s**2/3 - 33065*s/3 + 66190.
-5*(s - 6)*(s + 6619)/3
Let 2*w**2/19 + 7630*w/19 - 45852/19 = 0. Calculate w.
-3821, 6
Factor 2*n**2 - 5340*n + 489250.
2*(n - 2575)*(n - 95)
Find u such that -u**2/2 + 14611*u/2 + 7306 = 0.
-1, 14612
Find p such that 6*p**5/7 - 4566*p**4/7 + 18198*p**3/7 - 3246*p**2 + 9084*p/7 = 0.
0, 1, 2, 757
Factor -2*u**3/3 - 122*u**2/3 + 13952*u/3 - 256000/3.
-2*(u - 32)**2*(u + 125)/3
Find r, given that -14*r**4/15 - 2834*r**3/15 - 146776*r**2/15 - 67040*r/3 + 16000 = 0.
-100, -3, 4/7
Solve 2*l**5/3 - 28*l**4/15 - 64*l**3/15 + 244*l**2/15 - 78*l/5 + 24/5 = 0.
-3, 4/5, 1, 3
Find w, given that w**5/3 - 83*w**4/3 - 440*w**3/3 = 0.
-5, 0, 88
Factor -4*y**2/5 + 599928*y/5 - 22494600324/5.
-4*(y - 74991)**2/5
Let 11*d**5/2 - 1057*d**4/3 + 8213*d**3/6 - 5228*d**2/3 + 2282*d/3 - 40 = 0. Calculate d.
2/33, 1, 2, 60
Factor -5*n**4 + 265*n**3 + 2840*n**2 - 3100*n.
-5*n*(n - 62)*(n - 1)*(n + 10)
Determine g so that 2*g**5/9 - 30*g**3 + 260*g**2/9 + 176*g/3 = 0.
-12, -1, 0, 2, 11
Factor 70*r**2 - 31364*r.
2*r*(35*r - 15682)
Determine r, given that -2*r**5/5 + 1568*r**4/5 - 313306*r**3/5 + 2253436*r**2/5 + 31064832*r/5 - 48776256 = 0.
-10, 9, 388
Solve 6*d**4 + 12416*d**3 - 33138*d**2 + 29004*d - 8288 = 0 for d.
-2072, 2/3, 1
Factor c**4/2 + 22965*c**3/4 + 5741*c**2/2.
c**2*(c + 11482)*(2*c + 1)/4
Find q, given that 2*q**2/9 - 4018*q/3 + 24100/9 = 0.
2, 6025
Solve q**4/7 + 24*q**3/7 - 1378*q**2/7 - 24*q/7 + 1377/7 = 0 for q.
-51, -1, 1, 27
Factor 3*a**3/2 - 1140*a**2 + 261888*a - 18957312.
3*(a - 408)*(a - 176)**2/2
Factor 18*g**3 + 2206434*g**2 - 2941936*g + 980648.
2*(g + 122581)*(3*g - 2)**2
Factor z**3/6 + 7*z**2/6 - 37*z/3 - 28.
(z - 7)*(z + 2)*(z + 12)/6
What is z in 3*z**2 + 96*z + 93 = 0?
-31, -1
Factor 5*b**4 + 2315*b**3 - 53065*b**2 + 138225*b.
5*b*(b - 19)*(b - 3)*(b + 485)
Find g, given that -3*g**3/4 - 4621*g**2/2 - 6155*g/4 + 3850 = 0.
-3080, -5/3, 1
Let -2*u**4/7 - 308*u**3 - 580992*u**2/7 + 7700*u + 2075150 = 0. Calculate u.
-539, -5, 5
Let 10*w**4/7 + 414*w**3 + 21890*w**2/7 - 29874*w/7 + 5076/7 = 0. What is w?
-282, -9, 1/5, 1
Factor g**2/7 + 277*g/7 - 4332.
(g - 84)*(g + 361)/7
Let -2*t**4/23 + 166*t**3/23 + 2408*t**2/23 + 8384*t/23 + 6144/23 = 0. What is t?
-8, -4, -1, 96
Factor -g**3 - 191943*g**2 - 767760*g - 767756.
-(g + 2)**2*(g + 191939)
Let -12*s**4 - 182*s**3 - 562*s**2 + 728*s + 2440 = 0. What is s?
-61/6, -5, -2, 2
Solve n**3/3 - 743*n**2/3 + 138383*n/3 - 137641/3 = 0 for n.
1, 371
Factor -n**4/3 + 34*n**3/3 + 1280*n**2/3 - 896*n.
-n*(n - 56)*(n - 2)*(n + 24)/3
Let a**4/8 - 79379*a**3/8 + 238131*a**2/8 - 238129*a/8 + 9922 = 0. Calculate a.
1, 79376
Find y, given that -49*y**2/8 - 322*y