culate a.
-5, 15, 260
Find d such that 5*d**5 - 205*d**4 + 2500*d**3 - 8000*d**2 = 0.
0, 5, 16, 20
Factor 8978*l**2/9 - 87100*l/3 + 211250.
2*(67*l - 975)**2/9
Let 207*t**2/8 - 1041*t/8 + 15/4 = 0. What is t?
2/69, 5
Solve -5*g**3/3 - 19145*g**2/3 + 153400*g/3 - 102320 = 0.
-3837, 4
Factor 3*r**2 + 900*r + 67452.
3*(r + 146)*(r + 154)
Factor -y**3/7 - 143*y**2/7 + 633*y/7 + 945.
-(y - 9)*(y + 5)*(y + 147)/7
Let 5*k**3 + 15190*k**2 + 11627405*k + 137350140 = 0. Calculate k.
-1513, -12
Factor 5*a**2 + 59125*a + 59120.
5*(a + 1)*(a + 11824)
Factor -y**4 - 307*y**3 + 12108*y**2 - 83920*y - 548800.
-(y - 20)**2*(y + 4)*(y + 343)
Suppose -b**2/7 - 31788*b/7 - 4541 = 0. What is b?
-31787, -1
Factor -2*l**5 - 130*l**4 - 2464*l**3 - 14504*l**2.
-2*l**2*(l + 14)**2*(l + 37)
Solve -5*g**2 - 43705*g - 87390 = 0.
-8739, -2
Determine v so that 4*v**3/3 - 11008*v**2/3 = 0.
0, 2752
Suppose s**5 - 2*s**4 - 59*s**3 - 188*s**2 - 212*s - 80 = 0. Calculate s.
-4, -2, -1, 10
Factor 2*r**2/5 - 376*r/5 - 1218.
2*(r - 203)*(r + 15)/5
Suppose -4*g**3 + 1176*g**2 + 22284*g + 56160 = 0. Calculate g.
-15, -3, 312
Determine i, given that -3835*i**3 - 1749*i**2 + 2119*i + 33 = 0.
-1, -1/65, 33/59
Factor 5197*o**2 + 1205702*o - 464.
(o + 232)*(5197*o - 2)
Factor 2*m**2 + 1824*m + 10872.
2*(m + 6)*(m + 906)
Solve g**4/2 - 233*g**3/2 - g**2/2 + 233*g/2 = 0.
-1, 0, 1, 233
Factor -i**4/4 + 8*i**3 - 237*i**2/4 - 135*i/2.
-i*(i - 18)*(i - 15)*(i + 1)/4
Let 3*j**5 - 10923*j**4 + 10034976*j**3 - 167884524*j**2 + 390739680*j + 2955009600 = 0. Calculate j.
-3, 10, 1812
Factor 9522*i**3/7 + 735816*i**2/7 - 536950*i/7 + 97500/7.
2*(i + 78)*(69*i - 25)**2/7
Let 5*p**3/3 + 2345*p**2 + 37200*p + 445120/3 = 0. What is p?
-1391, -8
Find f such that 35*f**5/4 - 168457*f**4/4 + 4813*f**3/2 = 0.
0, 2/35, 4813
Factor -5*o**3 - 455*o**2 - 8820*o.
-5*o*(o + 28)*(o + 63)
Factor 5*u**3 - 2142*u**2 - 23289*u + 9658.
(u - 439)*(u + 11)*(5*u - 2)
Determine h so that -28*h**5 - 15884*h**4 + 157668*h**3 + 418268*h**2 + 300136*h + 55392 = 0.
-577, -1, -2/7, 12
Find w, given that w**3 + 115*w**2 - 472*w + 476 = 0.
-119, 2
Factor -5*k**2 - 600*k + 8645.
-5*(k - 13)*(k + 133)
Solve -5*x**3 + 3705*x**2 - 61450*x - 65160 = 0 for x.
-1, 18, 724
Factor -4*v**2 + 824*v - 24480.
-4*(v - 170)*(v - 36)
Determine q, given that -105*q**3 - 1254*q**2 - 1083*q + 66 = 0.
-11, -1, 2/35
Let -4*t**3 - 8348*t**2 - 4384640*t - 30284800 = 0. What is t?
-1040, -7
Suppose -2*s**5 + 96*s**4 - 80*s**3 - 16500*s**2 + 63442*s - 46956 = 0. Calculate s.
-13, 1, 3, 14, 43
Solve 260*m**3 - 64*m**2 - 236*m + 88 = 0.
-1, 2/5, 11/13
Suppose -c**3 + 113*c**2/4 + 10406*c - 10413/4 = 0. Calculate c.
-89, 1/4, 117
Factor -5*i**3 + 3160*i**2 - 31100*i.
-5*i*(i - 622)*(i - 10)
Factor -2*t**3/7 - 646*t**2/7 - 68640*t/7 - 2390400/7.
-2*(t + 83)*(t + 120)**2/7
Factor -2*d**3/7 - 948*d**2/7 + 1952*d/7 + 3264.
-2*(d - 6)*(d + 4)*(d + 476)/7
Factor f**2 - 8295*f.
f*(f - 8295)
Factor 2*z**3/7 - 19534*z**2/7 - 39076*z/7.
2*z*(z - 9769)*(z + 2)/7
Factor g**4/4 + 123*g**3 - 987*g**2/4 + 247*g/2.
g*(g - 1)**2*(g + 494)/4
Factor -a**3/6 - 105*a**2/2 - 4301*a/2 - 142301/6.
-(a + 23)**2*(a + 269)/6
Find c, given that 143*c**3/2 - 11797*c**2 - 47927*c/2 - 167 = 0.
-2, -1/143, 167
Let 3*z**4 + 1395*z**3 + 6924*z**2 + 11052*z + 5520 = 0. Calculate z.
-460, -2, -1
What is r in 47802*r**3 + 95612*r**2 + 16*r = 0?
-2, -4/23901, 0
Determine k, given that -3*k**2 + 1167*k - 32310 = 0.
30, 359
Factor i**2 + 11*i - 1950.
(i - 39)*(i + 50)
Factor p**2/5 + 92981*p/5 - 92982/5.
(p - 1)*(p + 92982)/5
Find j such that -35*j**5 + 19645*j**4 - 44775*j**3 + 30755*j**2 - 5590*j = 0.
0, 2/7, 1, 559
Solve 5*a**2 + 1825*a + 72000 = 0 for a.
-320, -45
Determine h so that -3*h**2/7 + 25503*h/7 - 50922 = 0.
14, 8487
Solve 5*d**2 + 55125*d - 275750 = 0.
-11030, 5
Factor -20640*t**2/11 - 20642*t/11 - 2/11.
-2*(t + 1)*(10320*t + 1)/11
Factor -2*a**2/13 - 2278*a/13 - 62216/13.
-2*(a + 28)*(a + 1111)/13
Factor -675*m**2 - 2803285*m - 41530.
-5*(m + 4153)*(135*m + 2)
Let 5*c**3 + 22860*c**2 + 26151825*c + 52212250 = 0. What is c?
-2285, -2
Factor -v**4/4 - 5*v**3/2 + 7527*v**2/4 + 9440*v - 3564544.
-(v - 59)**2*(v + 64)**2/4
Let -4*g**4 - 92*g**3 - 524*g**2 - 580*g + 1200 = 0. Calculate g.
-15, -5, -4, 1
Determine d so that 2*d**3 + 58*d**2 + 120*d - 936 = 0.
-26, -6, 3
Solve 2*i**5/9 + 116*i**4/9 + 2170*i**3/9 + 18376*i**2/9 + 24472*i/3 + 12544 = 0.
-32, -7, -6
Find k such that -2*k**5 + 4560*k**4 - 2590064*k**3 - 10415040*k**2 - 10433312*k = 0.
-2, 0, 1142
Let 5*t**3 - 840*t**2 + 2455*t + 3300 = 0. Calculate t.
-1, 4, 165
Solve -z**2 - 1139*z = 0.
-1139, 0
Suppose -5*v**4 + 165*v**3 - 1270*v**2 - 1440*v = 0. Calculate v.
-1, 0, 16, 18
Factor -3*g**2 - 22371*g - 67086.
-3*(g + 3)*(g + 7454)
Suppose -2*p**4/5 - 842*p**3/5 + 848*p**2/5 + 1688*p/5 = 0. Calculate p.
-422, -1, 0, 2
Find z such that -z**4/2 - 1858*z**3/5 - 26503*z**2/10 - 2576*z/5 = 0.
-736, -7, -1/5, 0
Determine y so that y**5/11 - 61*y**4/11 - 34*y**3/11 + 2074*y**2/11 + 225*y/11 - 13725/11 = 0.
-5, -3, 3, 5, 61
Find f, given that f**3/3 - 629*f**2/3 - 1267*f - 1905 = 0.
-3, 635
Factor -s**2/3 + 4979*s/3.
-s*(s - 4979)/3
Suppose -5*x**4/6 - 2335*x**3 - 4655*x**2/2 + 56050*x/3 + 28010 = 0. What is x?
-2801, -2, 3
Determine k so that -5*k**4 + 510*k**3 + 5540*k**2 + 7080*k - 40320 = 0.
-6, 2, 112
Factor 5*o**2 - 78235*o.
5*o*(o - 15647)
Determine h, given that h**5/10 + 7913*h**4/5 + 41730513*h**3/5 + 73264696506*h**2/5 - 735237185787*h/10 - 440841566799/5 = 0.
-5277, -1, 6
Determine z, given that 2*z**2/13 - 209852*z/13 + 5504732738/13 = 0.
52463
Factor 2*o**2/13 + 9234*o/13 - 9236/13.
2*(o - 1)*(o + 4618)/13
Factor -a**3 - 76046*a**2 + 304196*a - 304200.
-(a - 2)**2*(a + 76050)
Suppose 2*d**2/9 + 9146*d/9 + 425444/9 = 0. What is d?
-4526, -47
Factor m**2 + 5709*m + 11414.
(m + 2)*(m + 5707)
Find p such that -3*p**2 + 31877*p + 10626 = 0.
-1/3, 10626
Factor -u**2/3 + 93190*u/3 - 2171094025/3.
-(u - 46595)**2/3
Determine b so that 5*b**4 + 110*b**3 - 71400*b**2 - 110*b + 71395 = 0.
-131, -1, 1, 109
Factor i**3 - 24*i**2 + 101*i + 546.
(i - 14)*(i - 13)*(i + 3)
Suppose -6*q**4/7 - 4170*q**3/7 - 215568*q**2/7 - 398688*q + 430080 = 0. Calculate q.
-640, -28, 1
Factor -25*m**2 - 5179540*m + 2071820.
-5*(m + 207182)*(5*m - 2)
Let -15*a**5 + 531*a**4 - 5070*a**3 + 19464*a**2 - 29088*a + 8832 = 0. Calculate a.
2/5, 4, 23
Factor -j**3/4 - 559*j**2/4 - 691*j + 831.
-(j - 1)*(j + 6)*(j + 554)/4
Factor 2*p**2 + 138286*p/5 - 55316/5.
2*(p + 13829)*(5*p - 2)/5
Factor -2*r**3 - 360*r**2 + 3374*r - 5292.
-2*(r - 7)*(r - 2)*(r + 189)
What is p in 187*p**3/3 - 695*p**2/3 + 142*p - 24 = 0?
6/17, 4/11, 3
Determine s so that -2*s**3/17 + 2586*s**2 - 241692048*s/17 + 1207361440/17 = 0.
5, 10988
Factor 2*y**3/11 + 60*y**2 - 1326*y/11 + 664/11.
2*(y - 1)**2*(y + 332)/11
What is c in 3*c**2/5 - 6143292*c/5 + 3145003049772/5 = 0?
1023882
Let z**2/9 - 10030*z/9 = 0. What is z?
0, 10030
Factor u**2/3 - 82796*u/3 + 1713794404/3.
(u - 41398)**2/3
Factor -293848164*v**4 - 881613060*v**3 - 661364077*v**2 - 154290*v - 9.
-(2*v + 3)**2*(8571*v + 1)**2
Factor 4*v**2/7 + 11372*v/7 + 884160/7.
4*(v + 80)*(v + 2763)/7
Suppose -3*l**2 + 966*l - 7536 = 0. What is l?
8, 314
Determine k so that -5*k**4 - 8582*k**3/3 - 18259*k**2/3 - 10832*k/3 - 380 = 0.
-570, -1, -2/15
Find y such that -5*y**3 - 997795*y**2 - 1995575*y - 997785 = 0.
-199557, -1
Let -4*k**2/9 - 1928*k/3 + 23712 = 0. What is k?
-1482, 36
Factor 124*t**2/5 - 85696*t/5 - 77504/5.
4*(t - 692)*(31*t + 28)/5
Factor 4*a**2 - 210956*a + 843760.
4*(a - 52735)*(a - 4)
Solve -5*g**2 - 12555*g + 50300 = 0 for g.
-2515, 4
What is k in -2*k**2 - 4*k + 966 = 0?
-23, 21
Factor -h**3/2 + 60159*h**2/2 - 360927*h/2 + 541377/2.
-(h - 60153)*(h - 3)**2/2
Solve 5*u**3 + 175070*u**2 = 0.
-35014, 0
Suppose 25*j**2/2 - 152*j = 0. Calculate j.
0, 304/25
What is b in 2*b**5/5 + 5418*b**4/5 + 3248*b**3 + 10824*b**2/5 = 0?
-2706, -2, -1, 0
Factor 5*k**3 + 175*k**2 - 2960*k - 6580.
5*(k - 14)*(k + 2)*(k + 47)
Factor -s**3/4 - 33*s**2/4 + 9*s/4 + 297/4.
-(s - 3)*(s + 3)*(s + 33)/4
Factor 3*d**4 - 906*d**3 - 3663*d**2 - 2754*d.
3*d*(d - 306)*(d + 1)*(d + 3)
Factor 2*s**3 - 108670*s**2.
2*s**2*(s - 54335)
Find z, given that -2*z*