306)**2/7
Determine o, given that 27*o**4 - 4005*o**3 - 41073*o**2 - 26043*o - 4266 = 0.
-9, -1/3, 158
Suppose 44*f**3/7 + 534*f**2/7 - 500*f/7 - 78/7 = 0. What is f?
-13, -3/22, 1
Factor -x**3/4 + 4093*x**2/4 - 36594*x + 328617.
-(x - 4057)*(x - 18)**2/4
Factor 2*p**2 + 530*p/3 - 16724/3.
2*(p + 113)*(3*p - 74)/3
Factor -4*w**3/7 - 604*w**2/7 - 448*w + 246960.
-4*(w - 45)*(w + 98)**2/7
Factor -k**3/4 - 1077*k**2/2 - 1168497*k/4 - 2302658.
-(k + 8)*(k + 1073)**2/4
Find d such that -3*d**5 - 45*d**4 - 45*d**3 + 1425*d**2 + 5688*d + 5940 = 0.
-11, -5, -3, -2, 6
Let -3*a**5 + 25374*a**4 + 304776*a**3 + 1219488*a**2 + 1626240*a = 0. Calculate a.
-4, 0, 8470
Suppose z**3/2 + 296*z**2 + 1176*z = 0. What is z?
-588, -4, 0
Let -x**4 + 27*x**3 - 119*x**2 - 867*x - 720 = 0. What is x?
-3, -1, 15, 16
Solve -48*x**4 - 1080*x**3 + 12021*x**2 - 20520*x - 33573 = 0 for x.
-31, -1, 19/4
Suppose 2*p**2/15 + 1288*p/15 - 3918/5 = 0. Calculate p.
-653, 9
Factor x**3 + 299*x**2 + 20566*x - 42336.
(x - 2)*(x + 112)*(x + 189)
Let -a**4/4 - 179*a**3/4 + 3663*a**2/4 - 19521*a/4 + 8019/2 = 0. Calculate a.
-198, 1, 9
Solve 4*q**2 - 1156*q = 0 for q.
0, 289
Factor -2*g**3/5 + 1442*g**2/5 - 50960*g - 1854944/5.
-2*(g - 364)**2*(g + 7)/5
Factor 2*p**3/3 + 842*p**2/3 + 114208*p/3 + 4904968/3.
2*(p + 89)*(p + 166)**2/3
Find d such that 2*d**2 + 2054*d + 93984 = 0.
-979, -48
Find i, given that -326*i**4/9 + 3908*i**3/9 - 3896*i**2/3 + 10288*i/9 + 128/9 = 0.
-2/163, 2, 8
Factor -2*z**2/5 + 182*z - 4300.
-2*(z - 430)*(z - 25)/5
Factor 6*m**3 - 54333*m**2 + 122989536*m + 61508352.
3*(m - 4528)**2*(2*m + 1)
Factor -18*j**2/7 - 306948*j/7 - 1308570482/7.
-2*(3*j + 25579)**2/7
Factor 5*t**4 - 1130*t**3 + 30645*t**2 - 81900*t.
5*t*(t - 195)*(t - 28)*(t - 3)
Determine n, given that 3*n**3 + 2079*n**2 + 303849*n + 12694773 = 0.
-511, -91
Let -23*r**2/3 + 1893*r = 0. Calculate r.
0, 5679/23
Factor 2*w**3/3 - 106*w**2/3 + 368*w/3 + 392.
2*(w - 49)*(w - 6)*(w + 2)/3
Find f such that 952*f**3 + 414132*f**2 + 5220*f = 0.
-435, -3/238, 0
Determine m so that m**3 - 136802*m**2 + 4678423185*m + 18715881636 = 0.
-4, 68403
Let z**3/4 - 6081*z**2/4 + 2311920*z - 2310400 = 0. Calculate z.
1, 3040
Suppose -4*f**3 + 1560*f**2 + 11092*f + 9528 = 0. Calculate f.
-6, -1, 397
Determine l so that 2*l**2 - 4786*l + 9564 = 0.
2, 2391
Factor -a**2/3 - 5783*a/3 - 3854.
-(a + 2)*(a + 5781)/3
Factor 101*r**3 + 478*r**2 + 700*r + 296.
(r + 2)**2*(101*r + 74)
Factor -5*h**2 + 1600*h - 71820.
-5*(h - 266)*(h - 54)
Factor 24898*x**3 - 2*x**2.
2*x**2*(12449*x - 1)
Find j, given that 578*j**5 - 35088*j**4 - 123348*j**3 + 90448*j**2 + 326610*j - 259200 = 0.
-45/17, 1, 64
What is a in -2*a**2/9 + 1474*a/9 - 34268/3 = 0?
78, 659
Suppose 50*w**3/13 + 64540*w**2/13 + 51608*w/13 + 10320/13 = 0. What is w?
-1290, -2/5
Suppose -5*u**5 + 20515*u**4 - 21619355*u**3 + 1180922865*u**2 - 14678483400*u - 55249141500 = 0. What is u?
-3, 30, 2023
Factor -2*g**3 + 18*g**2 + 249642*g + 33209622.
-2*(g - 411)*(g + 201)**2
Find a, given that a**3/9 - 29651*a**2/3 = 0.
0, 88953
Solve -2*u**5/3 - 4*u**4/3 + 1124*u**3/3 - 14384*u**2/3 + 21882*u - 32340 = 0 for u.
-30, 3, 7, 11
Suppose 3*w**3/4 + 1719*w**2/2 + 978075*w/4 - 991875 = 0. Calculate w.
-575, 4
Find n such that -4*n**4/3 + 36224*n**3 - 108664*n**2 + 325984*n/3 - 36220 = 0.
1, 27165
Factor -3255*o**3 - 3249*o**2 + 6*o.
-3*o*(o + 1)*(1085*o - 2)
Suppose -3*k**5 + 117*k**4 - 516*k**3 + 144*k**2 + 2112*k - 2448 = 0. What is k?
-2, 2, 3, 34
Let 84*h**2 - 352*h + 300 = 0. Calculate h.
25/21, 3
Factor -2*q**4 + 140*q**3 - 768*q**2.
-2*q**2*(q - 64)*(q - 6)
Factor 4*l**3 - 73412*l**2.
4*l**2*(l - 18353)
Suppose -40*x**5/3 - 6404*x**4/3 - 586*x**3/3 + 8677*x**2/3 + 5927*x/3 + 1120/3 = 0. Calculate x.
-160, -1/2, 7/5
Solve 3*l**5/2 + 27*l**4/2 - 204*l**3 = 0.
-17, 0, 8
What is v in -4*v**2 - 4162184*v - 1082735978116 = 0?
-520273
Determine t so that 4*t**4/3 - 1714*t**3/15 + 1488*t**2/5 + 498*t/5 = 0.
-3/10, 0, 3, 83
Factor 4*r**4 + 488*r**3 + 484*r**2.
4*r**2*(r + 1)*(r + 121)
Let -2*m**5/3 - 982*m**4/3 + 6098*m**3 - 15338*m**2/3 - 34612*m/3 = 0. What is m?
-509, -1, 0, 2, 17
Factor 5*g**2 - 57575*g - 922480.
5*(g - 11531)*(g + 16)
Let -2*r**2/11 - 14*r - 2352/11 = 0. Calculate r.
-56, -21
Solve 2*u**2/5 + 324*u/5 - 326/5 = 0.
-163, 1
Solve -d**3/3 - 11572*d**2/3 - 15425*d - 11568 = 0 for d.
-11568, -3, -1
Factor -3*u**4 + 543*u**3 - 23049*u**2 - 149823*u + 934092.
-3*(u - 93)**2*(u - 4)*(u + 9)
Determine m so that m**4 - 142*m**3 - 1380*m**2 + 3182*m - 1661 = 0.
-11, 1, 151
Solve 4*x**3/5 + 3374*x**2/5 - 5068*x/5 + 338 = 0 for x.
-845, 1/2, 1
Factor 2*h**4/3 - 2636*h**3/3 + 881642*h**2/3 - 2873240*h + 7128600.
2*(h - 654)**2*(h - 5)**2/3
Factor 2*h**3 + 306*h**2 - 1256*h.
2*h*(h - 4)*(h + 157)
Factor c**3/6 - 4997*c**2/2 + 52450*c/3 - 29968.
(c - 14984)*(c - 4)*(c - 3)/6
Determine p, given that 2*p**3/5 - 2958*p**2/5 + 1049568*p/5 + 32973928/5 = 0.
-29, 754
Solve -14*q**5/13 + 8*q**4/13 + 510*q**3/13 - 288*q**2/13 - 216*q/13 = 0.
-6, -3/7, 0, 1, 6
Factor p**4 + 98*p**3 + 2728*p**2 + 3630*p - 515097.
(p - 11)*(p + 33)**2*(p + 43)
Factor c**2/3 - 389*c/3 + 12236.
(c - 228)*(c - 161)/3
Determine w so that -w**4 - 51*w**3 - 128*w**2 + 756*w - 576 = 0.
-48, -6, 1, 2
Find s such that 2*s**4/7 - 422*s**3/7 + 20710*s**2/7 + 23762*s = 0.
-7, 0, 109
Let 2*m**4/9 + 3602*m**3/9 - 8*m**2/9 - 14408*m/9 = 0. What is m?
-1801, -2, 0, 2
Solve -2*q**3 - 3672*q**2 - 1685448*q = 0.
-918, 0
What is f in 3*f**2 + 702*f + 41067 = 0?
-117
Let 24*k**5 - 63666*k**4 - 334797*k**3 - 295182*k**2 + 382779*k - 71766 = 0. What is k?
-3, 1/4, 1/2, 2658
Factor 5*s**3 - 116675*s**2 + 349980*s.
5*s*(s - 23332)*(s - 3)
Find w such that 3*w**5/4 - 251*w**4/4 + 2837*w**3/2 - 4278*w**2 - 2560*w + 3200 = 0.
-1, 2/3, 4, 40
Factor -2*c**3/11 + 14390*c**2 - 3132044656*c/11 + 3131886368/11.
-2*(c - 39572)**2*(c - 1)/11
Let -10*b**5/9 - 62*b**4/3 + 526*b**3/9 + 50*b**2 - 28*b = 0. Calculate b.
-21, -1, 0, 2/5, 3
Find a, given that 2*a**5 - 164*a**4 - 3078*a**3 - 5656*a**2 - 2744*a = 0.
-14, -1, 0, 98
Determine m, given that -m**4/4 + 42*m**3 - 167*m**2/4 = 0.
0, 1, 167
Let 4*p**4 + 1548*p**3 - 1552*p**2 = 0. What is p?
-388, 0, 1
Factor -p**3/5 - 573*p**2 - 2862*p/5 + 5728/5.
-(p - 1)*(p + 2)*(p + 2864)/5
Let -4*r**2/5 + 6555784*r/5 - 2686143990916/5 = 0. What is r?
819473
Factor -5*x**2 + 10230*x - 71365.
-5*(x - 2039)*(x - 7)
Factor -s**3/6 + 68485*s**2/6 - 136952*s + 410838.
-(s - 68473)*(s - 6)**2/6
Solve -2*p**5/3 + 520*p**4/3 - 1524*p**3 + 4536*p**2 - 4518*p = 0 for p.
0, 3, 251
Factor -p**2/4 - 44713*p/2 - 1999252369/4.
-(p + 44713)**2/4
Factor -2*z**2/11 + 540*z/11 + 11600/11.
-2*(z - 290)*(z + 20)/11
Let 5*i**4 - 5645*i**3 - 20*i**2 + 22580*i = 0. Calculate i.
-2, 0, 2, 1129
Suppose 15*k**4 + 258*k**3 + 1101*k**2 - 294*k - 6120 = 0. Calculate k.
-51/5, -5, -4, 2
Suppose -j**2 - 117*j + 1134 = 0. Calculate j.
-126, 9
Let -7*r**4/4 - 7419*r**3/4 + 3713*r**2/2 = 0. Calculate r.
-7426/7, 0, 1
Suppose -2*b**3/13 + 6024*b**2/13 - 6022*b/13 = 0. What is b?
0, 1, 3011
Let 2*f**3 - 11594*f**2 + 46344*f = 0. Calculate f.
0, 4, 5793
Suppose 1587*b**3/2 - 560487*b**2 + 194880*b - 16944 = 0. What is b?
4/23, 706
Suppose 9*r**4/2 - 12243*r**3/2 + 14267*r**2 - 10866*r + 2716 = 0. Calculate r.
2/3, 1, 1358
Solve -5*z**5 + 83*z**4 + 567*z**3 + 601*z**2 - 142*z - 264 = 0 for z.
-4, -1, 3/5, 22
Factor 2*k**4/5 + 2772*k**3/5 + 91152*k**2 + 5296320*k + 104198400.
2*(k + 60)**3*(k + 1206)/5
Solve -i**3/2 - 159*i**2/2 - 538*i - 912 = 0.
-152, -4, -3
Factor -2*d**2 + 4346*d/9 + 4364/9.
-2*(d + 1)*(9*d - 2182)/9
Factor -w**3/2 - 36*w**2 - 1215*w/2.
-w*(w + 27)*(w + 45)/2
Factor -20*m**2 - 14232*m/7 + 14372/7.
-4*(m - 1)*(35*m + 3593)/7
Find g such that -5*g**2 + 4500*g - 17920 = 0.
4, 896
Suppose 2*l**4 - 9154*l**3 = 0. What is l?
0, 4577
Let 5*u**3 + 25565*u**2 + 32640080*u - 98150460 = 0. Calculate u.
-2558, 3
Suppose 3*v**3 + 2394*v**2 + 4779*v + 2388 = 0. Calculate v.
-796, -1
Solve 3*l**5 - 22584*l**4 - 135576*l**3 - 271194*l**2 - 226011*l - 67806 = 0.
-3, -1, 7534
Solve -5*r**3 + 20940*r**2 - 21882240*r - 87864320 = 0 for r.
-4, 2096
Let 4*q**5/3 + 8*q**4 + 16*q**3/3 - 24*q**2 - 20*q/3 + 16 = 0. What is q?
-4, -3, -1, 1
Determine v so 