*(w + 3418)**2/3
Factor 2679*x**3/2 - 2665*x**2/2 - 7*x.
x*(x - 1)*(2679*x + 14)/2
Find p such that 4*p**2/3 + 2972*p/3 - 79976/3 = 0.
-769, 26
Let -1587*c**5 + 455745*c**4 - 3199266*c**3 + 3212220*c**2 - 487272*c + 20160 = 0. Calculate c.
2/23, 1, 6, 280
Factor 2*p**2/5 - 8318*p/5 - 24972/5.
2*(p - 4162)*(p + 3)/5
Suppose 2*l**3 - 218934*l**2 + 5990964672*l + 29960296960 = 0. What is l?
-5, 54736
Suppose -6*i**4 + 1622*i**3 + 2758*i**2 - 10358*i + 5984 = 0. What is i?
-11/3, 1, 272
Suppose 508*u**5/5 - 154*u**4 - 4306*u**3/5 + 6926*u**2/5 - 2394*u/5 + 36/5 = 0. What is u?
-3, 2/127, 1/2, 1, 3
Factor 128*r**3/7 - 45280*r**2/7 - 148174*r/7 - 17238.
2*(r - 357)*(8*r + 13)**2/7
Factor -456*a**3/5 - 332*a**2/5 - 12*a.
-4*a*(3*a + 1)*(38*a + 15)/5
Determine k, given that -27*k**2 + 3878*k = 0.
0, 3878/27
Solve -5*m**2 + 142680*m - 1017879120 = 0.
14268
Factor 596*s**5/9 - 1524*s**4 + 184*s**3/9.
4*s**3*(s - 23)*(149*s - 2)/9
Factor 4*k**5/3 + 380*k**4/3 + 3000*k**3 + 82000*k**2/3 + 260000*k/3.
4*k*(k + 10)**3*(k + 65)/3
Find o such that -3*o**5 - 7230*o**4 + 21720*o**3 + 7230*o**2 - 21717*o = 0.
-2413, -1, 0, 1, 3
Factor -4*j**4 + 200*j**3 - 912*j**2 + 504*j + 1620.
-4*(j - 45)*(j - 3)**2*(j + 1)
Factor 3*x**2 + 6108*x + 309504.
3*(x + 52)*(x + 1984)
Let -5*g**2 + 720*g + 2205 = 0. What is g?
-3, 147
Factor 5*r**2 - 98870*r + 197720.
5*(r - 19772)*(r - 2)
Solve 65*a**2 + 416120*a - 64020 = 0.
-6402, 2/13
Find m such that m**2/3 - 50*m/3 - 53 = 0.
-3, 53
Solve 3*b**4 + 3804*b**3 + 1687770*b**2 + 292293036*b + 13530015387 = 0 for b.
-399, -71
Find q such that -q**5/3 - 73*q**4/3 + 102*q**3 - 158*q**2/3 - 305*q/3 + 77 = 0.
-77, -1, 1, 3
Let -5*t**2 - 324080*t - 5251392320 = 0. Calculate t.
-32408
Determine z, given that -2*z**5/7 + 100*z**4/7 - 144*z**3 + 3776*z**2/7 - 4864*z/7 = 0.
0, 4, 38
Factor 2*r**2/13 + 2372*r/13 + 193248/13.
2*(r + 88)*(r + 1098)/13
Factor 220671639049*o**2 + 3758056*o + 16.
(469757*o + 4)**2
Solve -t**3 + 218*t**2 - 4909*t + 16212 = 0.
4, 21, 193
Factor -15*l**2 - 370*l - 1155.
-5*(l + 21)*(3*l + 11)
Factor -4*r**4/5 + 5364*r**3/5 + 103776*r**2 + 12128912*r/5.
-4*r*(r - 1433)*(r + 46)**2/5
Find t, given that -2*t**3 + 204*t**2 - 6552*t + 67600 = 0.
26, 50
Factor -2*u**2 - 20*u + 108528.
-2*(u - 228)*(u + 238)
Factor 2*b**4 - 512*b**3 - 1032*b**2.
2*b**2*(b - 258)*(b + 2)
Factor -b**2/10 - 317*b/5 + 101556/5.
-(b - 234)*(b + 868)/10
Determine r, given that -3*r**2/2 - 135153*r + 270309/2 = 0.
-90103, 1
Find b, given that -2*b**2 + 960566*b = 0.
0, 480283
Determine g so that g**4/2 + 4*g**3 + 15*g**2/2 - 4*g - 8 = 0.
-4, -1, 1
Let k**4/4 - 67*k**3 + 2835*k**2/4 - 509*k - 1285 = 0. What is k?
-1, 2, 10, 257
Suppose -20*h**5 + 255*h**4 - 615*h**3 - 1130*h**2 - 240*h = 0. Calculate h.
-1, -1/4, 0, 6, 8
What is r in -31*r**3/2 + 40*r**2 + 31*r/2 - 40 = 0?
-1, 1, 80/31
Find w, given that -5*w**3/3 + 225020*w**2/3 + 225025*w/3 = 0.
-1, 0, 45005
Factor -2*v**4 - 40*v**3 + 6*v**2 + 116*v - 80.
-2*(v - 1)**2*(v + 2)*(v + 20)
Determine a so that 3*a**4 + 903*a**3 + 3576*a**2 + 3564*a = 0.
-297, -2, 0
What is t in 5*t**2 + 1244070*t + 77385508245 = 0?
-124407
Factor 2*i**5/13 - 184*i**4/13 + 5472*i**3/13 - 51840*i**2/13.
2*i**2*(i - 36)**2*(i - 20)/13
Solve -3*r**2/2 - 3297*r/2 - 270747 = 0.
-898, -201
Factor 2*p**4/3 - 5858*p**3 + 12865632*p**2 + 38614472*p/3.
2*p*(p - 4394)**2*(p + 1)/3
Let 36*r**3/5 + 654*r**2 - 7080*r + 18150 = 0. Calculate r.
-605/6, 5
Factor 164*y**3 + 624*y**2 + 364*y - 96.
4*(y + 1)*(y + 3)*(41*y - 8)
Solve 3*a**3 + 234*a**2 + 792*a - 7104 = 0 for a.
-74, -8, 4
Factor -4*t**3 - 184*t**2 + 4284*t.
-4*t*(t - 17)*(t + 63)
Factor -p**3/3 + 79*p**2/3 + 1961*p/3 + 627.
-(p - 99)*(p + 1)*(p + 19)/3
What is s in 4*s**4 + 8816*s**3 - 8836*s**2 - 35264*s + 35280 = 0?
-2205, -2, 1, 2
Find n, given that 4*n**3 + 77956*n**2 + 380405116*n + 5688550140 = 0.
-9737, -15
Let 4*f**2/5 - 8572*f/5 - 155592/5 = 0. Calculate f.
-18, 2161
Suppose 78*s**2/17 + 1466*s/17 - 1880/17 = 0. Calculate s.
-20, 47/39
Let t**3/3 - 6452*t**2/3 + 10368256*t/3 + 41783296 = 0. Calculate t.
-12, 3232
Factor x**2/3 + 541534*x/3 + 73314768289/3.
(x + 270767)**2/3
Determine d, given that 504*d**4 + 876*d**3 + 248*d**2 - 116*d + 8 = 0.
-1, 2/21, 1/6
Suppose 2*l**4/13 - 9950*l**3/13 + 9948*l**2/13 = 0. What is l?
0, 1, 4974
Let 5*h**3 + 58105*h**2 + 169302360*h + 2861372340 = 0. What is h?
-5802, -17
Factor 2*t**3/5 - 122*t**2/5 - 2786*t/5 + 24794/5.
2*(t - 77)*(t - 7)*(t + 23)/5
Factor s**2 - 50212*s + 630311236.
(s - 25106)**2
Let -5*f**2 - 69055*f - 138090 = 0. What is f?
-13809, -2
Solve 14*t**5 - 612*t**4 + 4922*t**3 + 2100*t**2 - 37768*t - 34320 = 0.
-2, -1, 26/7, 10, 33
Factor -s**4 - 89*s**3 + 558*s**2 - 1132*s + 760.
-(s - 2)**3*(s + 95)
Find b, given that 2*b**2 - 164262*b - 657080 = 0.
-4, 82135
Find b such that -b**3/4 - 19*b**2/4 + 781*b/4 - 4961/4 = 0.
-41, 11
Factor 5*o**3 - 1731915*o**2 + 3463815*o - 1731905.
5*(o - 346381)*(o - 1)**2
Let -o**2/5 + 1092*o/5 + 1093/5 = 0. What is o?
-1, 1093
Suppose -148*i**2 - 1486*i - 60 = 0. Calculate i.
-10, -3/74
Solve -n**5 - 7*n**4/2 + 53*n**3 + 569*n**2/2 + 245*n - 200 = 0.
-5, -2, 1/2, 8
Suppose 8*x**5 + 98*x**4 + 82*x**3 - 1112*x**2 - 1176*x + 1440 = 0. Calculate x.
-10, -4, -2, 3/4, 3
Let -2*p**5 + 108*p**4 - 1344*p**3 - 3136*p**2 = 0. Calculate p.
-2, 0, 28
Solve 1028178*k**2/5 + 642432*k/5 + 100352/5 = 0 for k.
-224/717
Suppose 2*b**5/5 + 224*b**4/5 + 38*b**3 - 3584*b**2/5 - 3552*b/5 = 0. Calculate b.
-111, -4, -1, 0, 4
Factor 2*u**3/7 + 78476*u**2/7.
2*u**2*(u + 39238)/7
What is i in 2*i**2 + 1054*i - 135676 = 0?
-634, 107
Let 3*v**2/5 + 134052*v/5 - 402183/5 = 0. What is v?
-44687, 3
Determine g, given that -2*g**4 - 28128*g**3 + 28130*g**2 = 0.
-14065, 0, 1
Solve 3*f**5/2 - 15*f**4/2 - 309*f**3/2 + 1311*f**2/2 - 495*f = 0.
-10, 0, 1, 3, 11
Factor -5*o**3 - 1920*o**2 - 88825*o + 90750.
-5*(o - 1)*(o + 55)*(o + 330)
Find m, given that -2*m**2/3 - 631960*m/3 - 631958/3 = 0.
-315979, -1
What is c in 2*c**3 + 62*c**2 - 2264*c - 18200 = 0?
-50, -7, 26
Factor -5*r**3 - 20075*r**2 - 20070*r.
-5*r*(r + 1)*(r + 4014)
Find z such that 338*z**5/15 + 36508*z**4/15 + 340172*z**3/5 + 1803472*z**2/15 - 2827126*z/15 - 11236/5 = 0.
-53, -3, -2/169, 1
Suppose 3*x**2 + 16251*x = 0. Calculate x.
-5417, 0
What is v in -2*v**2 + 7830*v - 101452 = 0?
13, 3902
Determine q so that -3*q**4 - 1509*q**3 + 16965*q**2 + 1509*q - 16962 = 0.
-514, -1, 1, 11
Factor -4*r**4 - 4956*r**3 + 105840*r**2.
-4*r**2*(r - 21)*(r + 1260)
Factor -2*p**3 + 2490*p**2 - 778734*p + 2313846.
-2*(p - 621)**2*(p - 3)
Find y such that 2*y**4 - 164*y**3/7 - 314*y**2/7 + 1016*y/7 + 312/7 = 0.
-3, -2/7, 2, 13
Factor -n**3/4 + 79079*n**2 - 25014269277*n/4 + 25013636649/2.
-(n - 158157)**2*(n - 2)/4
Determine x so that 5*x**2 - 9730*x - 1076775 = 0.
-105, 2051
Factor -q**2/4 - 9259*q/4 + 2315.
-(q - 1)*(q + 9260)/4
Suppose 118*a**3/5 + 330*a**2 + 5282*a/5 - 18 = 0. What is a?
-9, -5, 1/59
Let z**3/7 - 160*z**2/7 - 13200*z/7 = 0. What is z?
-60, 0, 220
Factor -2*o**2 - 1264676*o - 199925673122.
-2*(o + 316169)**2
Determine o, given that 2*o**2/11 - 115288*o/11 + 1661415368/11 = 0.
28822
Suppose 5*d**3/6 - 42875*d**2/3 - 171515*d/6 - 42880/3 = 0. What is d?
-1, 17152
Find w, given that -280*w**5 + 4495*w**4 - 25425*w**3 + 57125*w**2 - 36875*w = 0.
0, 59/56, 5
Determine o, given that 2*o**3 + 3192*o**2 + 81978*o + 530660 = 0.
-1570, -13
Factor 4*d**2 + 2646168*d + 437637817764.
4*(d + 330771)**2
Suppose 2*g**5 + 4798*g**4 + 3327164*g**3 + 539024836*g**2 + 24991575362*g - 25533932162 = 0. Calculate g.
-1097, -103, 1
Factor -l**4 + 12715*l**3/3 - 13474721*l**2/3 + 4490161*l/3.
-l*(l - 2119)**2*(3*l - 1)/3
Factor o**2/2 + 2127*o.
o*(o + 4254)/2
Suppose r**5/5 - 1937*r**4/5 + 935034*r**3/5 + 2911892*r**2/5 - 8637656*r - 9032640 = 0. Calculate r.
-8, -1, 6, 970
Factor -t**3 + 46*t**2 - 199*t - 3990.
-(t - 38)*(t - 15)*(t + 7)
Suppose -4*j**5 - 6868*j**4 - 2978860*j**3 - 26439948*j**2 - 78950592*j - 78766128 = 0. Calculate j.
-854, -3
Factor z**4/4 - 388*z**3 + 300311*z**2/2 + 301476*z + 603729/4.
(z - 777)**2*(z + 1)**2/4
Factor 3*n**2/2 + 21624*n + 43242.
3*(n + 2)*(n + 14414)/2
Determine d so that 13654*d**2/11 - 2*d/11 = 0.
0, 1/6827
Determine b, given