*2*(i + 1)*(i + 26)/4
Factor -4*i**2/9 - 48472*i/3 - 146845924.
-4*(i + 18177)**2/9
Solve -4*b**5/7 + 2484*b**4/7 - 29440*b**3/7 + 127056*b**2/7 - 234112*b/7 + 22272 = 0 for b.
2, 4, 609
Solve -2*l**3 - 196*l**2 - 1122*l - 1656 = 0.
-92, -3
What is j in 4*j**4 + 688*j**3 - 4332*j**2 - 10712*j - 5696 = 0?
-178, -1, 8
Determine c so that -22*c**4/9 + 250*c**3/3 - 1062*c**2 + 5994*c - 12636 = 0.
78/11, 9
Factor j**3/8 - 51*j**2/8 + 495*j/8 - 1053/8.
(j - 39)*(j - 9)*(j - 3)/8
Factor 2*f**4 + 208*f**3 + 7148*f**2 + 82992*f + 76050.
2*(f + 1)*(f + 25)*(f + 39)**2
Find s, given that -21496*s**5/13 - 48350*s**4/13 + 10784*s**3/13 + 48358*s**2/13 + 824*s - 8/13 = 0.
-2, -1, -1/4, 2/2687, 1
Factor -2*b**3/15 - 65736*b**2/5 - 1620392398*b/5 + 9723143236/15.
-2*(b - 2)*(b + 49303)**2/15
Solve v**2/2 - 4687*v - 9375/2 = 0 for v.
-1, 9375
Solve -80*l**3 - 285044*l**2 - 299212*l - 14248 = 0 for l.
-3562, -1, -1/20
Factor 5*z**3 - 130*z**2 - 435*z.
5*z*(z - 29)*(z + 3)
Find x, given that x**2/4 + 38*x + 5607/4 = 0.
-89, -63
Suppose 36*j**5 + 1056*j**4 - 6044*j**3 - 11016*j**2 + 9200*j - 1632 = 0. Calculate j.
-34, -2, 1/3, 6
Factor -2*i**2/7 + 843660*i/7 - 88970274450/7.
-2*(i - 210915)**2/7
Let 873*v**2/5 + 15708*v/5 - 108/5 = 0. Calculate v.
-18, 2/291
Suppose 2*w**5/7 - 552*w**4/7 + 40226*w**3/7 - 294276*w**2/7 + 470072*w/7 - 215472/7 = 0. Calculate w.
1, 6, 134
Determine j, given that j**2/6 + 10*j/3 - 400 = 0.
-60, 40
Find y, given that -y**3/2 - 149*y**2/2 + 2567*y - 2492 = 0.
-178, 1, 28
Let -2*f**5/11 + 16*f**4 - 1708*f**3/11 + 784*f**2/11 + 2058*f = 0. What is f?
-3, 0, 7, 77
Factor -25538*h**2 + 9040*h/3 - 800/9.
-2*(339*h - 20)**2/9
Factor 3*m**2 - 2381100*m.
3*m*(m - 793700)
Suppose -2*r**4/13 - 2422*r**3/13 + 244800*r**2/13 - 7964672*r/13 + 85655552/13 = 0. What is r?
-1307, 32
Let 500*t**5/7 + 130600*t**4/7 + 40820*t**3 + 217832*t**2/7 + 70480*t/7 + 1184 = 0. What is t?
-259, -1, -2/5
Factor 2*h**2/3 + 162076*h/3 + 648272/3.
2*(h + 4)*(h + 81034)/3
Find i such that -3*i**2/5 - 132054*i/5 - 264096/5 = 0.
-44016, -2
Find t such that -3*t**4 - 69*t**3 + 1449*t**2 - 4035*t - 5550 = 0.
-37, -1, 5, 10
Factor 4*c**3 + 424*c**2 + 3572*c + 7760.
4*(c + 4)*(c + 5)*(c + 97)
Factor 2*t**3/3 + 3674*t**2/3 - 7366*t + 11058.
2*(t - 3)**2*(t + 1843)/3
Factor -r**2 - 46114*r - 92224.
-(r + 2)*(r + 46112)
Determine b so that 4*b**5 + 242748*b**4 + 1456396*b**3 + 3155460*b**2 + 2912704*b + 970896 = 0.
-60681, -2, -1
Factor t**5 + 4824*t**4 - 28971*t**3 + 43470*t**2.
t**2*(t - 3)**2*(t + 4830)
Determine v, given that -2*v**3/3 - 192*v**2 - 12474*v = 0.
-189, -99, 0
Determine u, given that -2*u**3/7 + 1800536*u**2/7 - 405241235912*u/7 = 0.
0, 450134
Find m such that m**3/3 + 85*m**2 - 2896*m/3 + 2660 = 0.
-266, 5, 6
Determine v, given that -3*v**3/7 - 7806*v**2/7 + 31308*v/7 + 93816/7 = 0.
-2606, -2, 6
Factor 50*x**2/9 + 1920*x + 165888.
2*(5*x + 864)**2/9
Factor 40*o**4 + 969420*o**3 + 1454070*o**2 + 727025*o + 121170.
5*(o + 24234)*(2*o + 1)**3
Factor -2*o**5/17 + 84*o**4/17 + 356*o**3/17 + 32*o**2 + 366*o/17 + 92/17.
-2*(o - 46)*(o + 1)**4/17
Determine q, given that -1785*q**4 - 17844*q**3 + 60*q**2 = 0.
-10, 0, 2/595
What is p in 3*p**5 - 1512*p**4 + 226119*p**3 - 8576226*p**2 + 16480128*p - 8128512 = 0?
1, 54, 224
Factor -117*o**2 - 2809*o - 24.
-(o + 24)*(117*o + 1)
Suppose -o**3 - 55*o**2 - 388*o - 564 = 0. Calculate o.
-47, -6, -2
Suppose -m**3/2 - 395*m**2 - 787*m/2 + 789 = 0. Calculate m.
-789, -2, 1
Solve 2*z**3/11 + 27308*z**2/11 - 245934*z/11 = 0 for z.
-13663, 0, 9
Factor -2*i**2/9 + 44288*i/9 + 68936.
-2*(i - 22158)*(i + 14)/9
Factor 5*t**3/4 - 18805*t**2/4 + 9395*t/2 + 9400.
5*(t - 3760)*(t - 2)*(t + 1)/4
Factor 5*j**4 - 1255*j**3 - 5*j**2 + 1255*j.
5*j*(j - 251)*(j - 1)*(j + 1)
Suppose 2*f**3/15 + 215782*f**2/15 = 0. What is f?
-107891, 0
Solve -202500*p**3 - 22678200*p**2 + 201596*p - 448 = 0 for p.
-112, 1/225
Solve -6*w**2 - 78795*w - 39396 = 0 for w.
-13132, -1/2
Find q, given that -3*q**5 + 80507*q**4 - 540020822*q**3 - 1260352738*q**2 - 900320967*q - 180069561 = 0.
-1, -1/3, 13419
Determine i, given that -2*i**2/11 - 113526*i/11 - 567580/11 = 0.
-56758, -5
Find t, given that -t**3 - 167*t**2 - 1586*t - 2512 = 0.
-157, -8, -2
Let -3*b**3/2 - 113811*b**2/2 - 1079582673*b/2 - 3237723801/2 = 0. What is b?
-18967, -3
Factor 16*c**2 + 191*c - 12.
(c + 12)*(16*c - 1)
Determine q so that -12*q**3 - 82053*q**2 - 61533*q = 0.
-6837, -3/4, 0
Factor 145*w**2 + 1675*w + 4750.
5*(w + 5)*(29*w + 190)
Factor 2*z**2/17 + 63264*z/17 + 500291712/17.
2*(z + 15816)**2/17
Find s, given that 10*s**4 + 546*s**3 + 6700*s**2 - 10248*s + 2992 = 0.
-34, -22, 2/5, 1
Solve 3*z**2 + 312*z + 8085 = 0.
-55, -49
Factor -4*x**3 + 66428*x**2 - 275559804*x - 1932174972.
-4*(x - 8307)**2*(x + 7)
Let -3*a**4 + 819*a**3 + 34494*a**2 + 300960*a - 746400 = 0. What is a?
-20, 2, 311
Determine w so that 147*w**4/8 - 1701*w**3 + 4275*w**2 - 2028*w + 270 = 0.
2/7, 2, 90
Determine w so that -2*w**3/3 - 124*w**2 + 3170*w/3 + 4268 = 0.
-194, -3, 11
Suppose 2*p**3/5 + 282*p**2/5 + 9796*p/5 = 0. What is p?
-79, -62, 0
What is h in -5*h**4 + 540*h**3 - 6700*h**2 + 11280*h = 0?
0, 2, 12, 94
Let 19845*k**4 + 775215*k**3 - 744640*k**2 - 49620*k - 800 = 0. What is k?
-40, -2/63, 1
What is q in 2*q**4/7 + 58*q**3/7 + 472*q**2/7 + 1448*q/7 + 1440/7 = 0?
-18, -5, -4, -2
Find v such that 23907428049267*v**2/4 - 8468901*v/2 + 3/4 = 0.
1/2822967
Find r, given that -4*r**2 + 608024*r - 23105824036 = 0.
76003
Find u, given that 4*u**5 - 112*u**3 + 192*u**2 = 0.
-6, 0, 2, 4
Factor -2*z**3/17 + 133256*z**2/17.
-2*z**2*(z - 66628)/17
Factor 3*s**2/8 - 21918*s + 320265816.
3*(s - 29224)**2/8
Let 4*w**5 - 120*w**4 + 1428*w**3 - 8416*w**2 + 24528*w - 28224 = 0. Calculate w.
4, 6, 7
Factor 26*l**2 + 1161*l + 178.
(2*l + 89)*(13*l + 2)
Solve -5*x**4 + 222240*x**3 - 3292707840*x**2 + 16261586452480*x = 0 for x.
0, 14816
Determine z, given that -5*z**2 - 66320*z - 219917120 = 0.
-6632
Find v such that -220*v**5 - 2665*v**4 + 3300*v**3 + 9025*v**2 - 11780*v + 2340 = 0.
-13, -2, 1/4, 1, 18/11
Determine b, given that -b**4/6 + 8441*b**3/6 + 14077*b**2/2 - 8441*b/6 - 21115/3 = 0.
-5, -1, 1, 8446
Determine h, given that -4*h**2 - 57876*h - 289280 = 0.
-14464, -5
Solve w**2/7 + 6584*w + 184336/7 = 0.
-46084, -4
Factor 6361*m**3/4 + 12719*m**2/2 + 6355*m - 6.
(m + 2)**2*(6361*m - 6)/4
Factor -5*u**4 - 185*u**3 - 350*u**2.
-5*u**2*(u + 2)*(u + 35)
Factor 3*l**2/8 - 63993*l/8 - 64005/2.
3*(l - 21335)*(l + 4)/8
Factor 5*z**4/2 - 450*z**3 + 15250*z**2 + 450000*z + 2500000.
5*(z - 100)**2*(z + 10)**2/2
Factor o**4 + 53*o**3 + 52*o**2.
o**2*(o + 1)*(o + 52)
Factor -5*i**3 - 225*i**2 - 2155*i - 5775.
-5*(i + 5)*(i + 7)*(i + 33)
Factor 5*l**3 - 201745*l**2 + 2034951375*l + 2035153125.
5*(l - 20175)**2*(l + 1)
Factor -z**2 + 6456*z - 250263.
-(z - 6417)*(z - 39)
Solve -507*s**5/7 - 11934*s**4/7 - 67419*s**3/7 + 33048*s**2/7 - 3888*s/7 = 0 for s.
-12, 0, 3/13
Factor -p**2 - 284*p + 285.
-(p - 1)*(p + 285)
Suppose -2*o**4/11 - 358*o**3/11 - 3090*o**2/11 - 5050*o/11 + 8500/11 = 0. Calculate o.
-170, -5, 1
Factor 4*p**3 - 1788*p**2 + 262944*p - 12754368.
4*(p - 183)*(p - 132)**2
Factor -n**3 + 2261*n**2 - 1279160*n + 1276900.
-(n - 1130)**2*(n - 1)
Solve -2*g**4 + 246*g**3 - 7094*g**2 - 14934*g - 7592 = 0.
-1, 52, 73
Suppose -o**5 + 3924*o**4 - 3853361*o**3 + 7675346*o**2 + 15413460*o - 30764168 = 0. Calculate o.
-2, 2, 1961
Determine l, given that -2*l**3/7 + 108*l**2/7 + 134*l/7 - 1320/7 = 0.
-4, 3, 55
Suppose 1429*c**2/4 + 1445*c/4 + 4 = 0. Calculate c.
-1, -16/1429
Suppose r**3/7 + 1726*r**2/7 + 22269*r/7 = 0. Calculate r.
-1713, -13, 0
Factor -175*u**2 - 836860*u - 47820.
-5*(u + 4782)*(35*u + 2)
Factor -2*x**2 + 324*x + 25520.
-2*(x - 220)*(x + 58)
Solve r**3/3 + 376*r**2/3 - 11807*r/3 - 8370 = 0 for r.
-405, -2, 31
Solve -3*g**3 - 2325*g**2 - 350625*g + 40640625 = 0.
-425, 75
Find i such that -2*i**3/5 - 8976*i**2/5 + 1798*i + 53868/5 = 0.
-4489, -2, 3
Factor 3*x**2/2 + 347667*x/2.
3*x*(x + 115889)/2
Factor -2*a**2/11 + 25490*a/11.
-2*a*(a - 12745)/11
What is a in -3*a**4 - 4245*a**3 - 136143*a**2 + 931797*a - 1455246 = 0?
-1382, -39, 3
Let 4*u**2/5 - 3708*u - 55656/5 = 0. Calculate u.
-3, 4638
Solve -2*k**3/13 + 4054*k**2