*a + 2)/5
Determine s, given that -2*s**5/3 + 249*s**4/2 - 2623*s**3/2 + 11999*s**2/3 - 2812*s = 0.
0, 1, 4, 6, 703/4
Solve -140*v**5 - 14684*v**4 + 2172*v**3 + 51404*v**2 - 26992*v - 11760 = 0 for v.
-105, -2, -2/7, 1, 7/5
Factor 3*b**3 + 144*b**2 + 1635*b + 4950.
3*(b + 5)*(b + 10)*(b + 33)
Let c**4 - 6541*c**3 + 13071*c**2 + 45769*c + 26156 = 0. What is c?
-1, 4, 6539
Factor 2*o**3/9 + 15446*o**2/9 + 9974170*o/3 + 42931850.
2*(o + 13)*(o + 3855)**2/9
Determine i so that 3*i**2 - 1425*i - 25092 = 0.
-17, 492
Find b such that 428*b**4/3 + 904*b**3/3 + 524*b**2/3 + 16*b = 0.
-1, -12/107, 0
Find j such that 2*j**2/5 + 144496*j/5 - 57800 = 0.
-72250, 2
Factor 3*g**2/2 - 1005*g/2 - 93366.
3*(g - 468)*(g + 133)/2
Factor -2*n**2 + 19578*n - 58716.
-2*(n - 9786)*(n - 3)
Let q**3/7 + 13613*q**2/7 - 13614*q/7 = 0. Calculate q.
-13614, 0, 1
Suppose -6*u**4/7 + 1038*u**3/7 + 3168*u**2/7 = 0. Calculate u.
-3, 0, 176
Let 6*u**2/7 - 2400*u/7 + 27936/7 = 0. Calculate u.
12, 388
Factor z**2/7 + 3698*z - 414432/7.
(z - 16)*(z + 25902)/7
What is q in -4*q**3 + 56*q**2 - 212*q + 160 = 0?
1, 5, 8
Factor 310*b**3 - 295*b**2 - 1875*b - 90.
5*(b - 3)*(b + 2)*(62*b + 3)
Find v such that -v**2 + 131534*v - 4325298289 = 0.
65767
Factor -5*k**2 + 177565*k + 887950.
-5*(k - 35518)*(k + 5)
Suppose 286*h**2/7 - 428*h/7 - 288/7 = 0. Calculate h.
-72/143, 2
Determine j so that -2205*j**5 + 254415*j**4 - 334820*j**3 - 1408300*j**2 + 565920*j - 54720 = 0.
-2, 4/21, 3, 114
Factor -3*c**2/5 + 75282*c/5 - 150552/5.
-3*(c - 25092)*(c - 2)/5
Suppose l**5/3 + 338*l**4/3 + 13918*l**3 + 2195692*l**2/3 + 38661581*l/3 - 45633650 = 0. Calculate l.
-97, -50, 3
Let 11*j**5/6 - 361*j**4/6 + 605*j**3 - 5560*j**2/3 + 3152*j/3 + 256 = 0. What is j?
-2/11, 1, 4, 12, 16
Factor h**2/4 + 879*h - 1759.
(h - 2)*(h + 3518)/4
What is n in 3*n**2 - 3561*n + 415008 = 0?
131, 1056
Determine i, given that 97*i**2/4 - 337*i - 35 = 0.
-10/97, 14
Factor -5*y**2 - 995*y - 5790.
-5*(y + 6)*(y + 193)
What is l in 3*l**4/2 + 22643*l**3/2 + 42744319*l**2/2 + 71192737*l/2 + 14235529 = 0?
-3773, -1, -2/3
Solve -4*r**5 - 156*r**4 - 1012*r**3 - 564*r**2 + 1736*r = 0 for r.
-31, -7, -2, 0, 1
Factor -5*t**2 - 345*t + 387450.
-5*(t - 246)*(t + 315)
Factor w**5 + 14*w**4 - 11*w**3 - 424*w**2 + 820*w - 400.
(w - 4)*(w - 1)**2*(w + 10)**2
Factor r**3 + 330*r**2 - 59544*r + 117760.
(r - 128)*(r - 2)*(r + 460)
Factor -484704256*o**2/3 - 44032*o - 3.
-(22016*o + 3)**2/3
Suppose -41*g**5 - 740*g**4 + 4597*g**3 - 1988*g**2 - 7652*g - 368 = 0. What is g?
-23, -1, -2/41, 2, 4
What is f in -f**2/9 - 5875*f/9 = 0?
-5875, 0
Factor -5*y**3/2 - 255*y**2/2 + 1665*y/2 - 2565/2.
-5*(y - 3)**2*(y + 57)/2
Factor 3*p**3 + 372*p**2 + 11595*p + 21726.
3*(p + 2)*(p + 51)*(p + 71)
Factor -86*a**2 - 280*a + 256.
-2*(a + 4)*(43*a - 32)
Find a such that a**4 - 176*a**3 + 522*a**2 - 520*a + 173 = 0.
1, 173
Factor -31*c**2/4 + 15740*c + 2031/4.
-(c - 2031)*(31*c + 1)/4
Factor -l**2/6 + 130931*l - 51428780283/2.
-(l - 392793)**2/6
Factor 2*c**2/3 + 74792*c/3 - 523642/3.
2*(c - 7)*(c + 37403)/3
Factor 3*u**4 + 4956*u**3 + 261063*u**2 + 3494826*u.
3*u*(u + 27)**2*(u + 1598)
Factor 2*g**2 + 5658*g + 61996.
2*(g + 11)*(g + 2818)
Suppose -x**2/3 + 57*x + 53460 = 0. Calculate x.
-324, 495
Factor c**2 + 1259*c + 345420.
(c + 404)*(c + 855)
Let 2*r**2/3 - 2944*r/3 + 1960 = 0. Calculate r.
2, 1470
Factor -8*i**3 - 382*i**2 - 280*i + 94.
-2*(i + 1)*(i + 47)*(4*i - 1)
Determine x so that 5*x**2 - 30595*x + 91740 = 0.
3, 6116
Solve 3*o**3 + 474*o**2 + 13728*o - 418176 = 0.
-88, 18
Find p such that p**2/3 - 462*p - 80752/3 = 0.
-56, 1442
Suppose 27*u**3 - 17985*u**2 - 16059*u + 34017 = 0. What is u?
-17/9, 1, 667
Solve 2*l**2 + 6114*l - 12236 = 0 for l.
-3059, 2
Suppose 2*x**3 + 18362*x**2 - 36730*x + 18366 = 0. Calculate x.
-9183, 1
Solve -3*n**2 + 17985*n + 53982 = 0 for n.
-3, 5998
Factor 20*u**3 - 2680*u**2 - 172895*u + 24909475.
5*(u + 95)*(2*u - 229)**2
Factor -j**5/4 + 278175*j**4/4 - 25793776875*j**3/4 + 797242653578125*j**2/4.
-j**2*(j - 92725)**3/4
Factor -2*n**4/9 + 2170*n**3/9 + 4346*n**2/9 + 2174*n/9.
-2*n*(n - 1087)*(n + 1)**2/9
Suppose -15*w**5 + 5105*w**4 - 634310*w**3 + 34388850*w**2 - 693213115*w + 227273485 = 0. What is w?
1/3, 71, 127
Find t, given that 2*t**2 - 4010*t = 0.
0, 2005
Solve 5*s**2 - 8942560*s + 8942555 = 0 for s.
1, 1788511
Factor -w**2/5 - 308*w/5 - 596.
-(w + 10)*(w + 298)/5
Factor -n**4/2 - 463*n**3/2 - 75255*n**2/2 - 4814725*n/2 - 42680750.
-(n + 28)*(n + 145)**3/2
Find p, given that -p**5/7 + 10782*p**4/7 - 4154919*p**3 + 116165284*p**2/7 = 0.
0, 4, 5389
Factor u**4 - 73*u**3 + 1442*u**2 - 10940*u + 28200.
(u - 47)*(u - 10)**2*(u - 6)
Find p such that 2*p**5 - 2*p**4 - 34*p**3 - 30*p**2 = 0.
-3, -1, 0, 5
Factor i**4/6 - 259*i**3/3 - 5819*i**2/6.
i**2*(i - 529)*(i + 11)/6
Factor -d**4 - 313*d**3 - 6402*d**2.
-d**2*(d + 22)*(d + 291)
Factor j**3/3 - 93*j**2 - 570*j.
j*(j - 285)*(j + 6)/3
Solve -2*z**5 + 86*z**4 + 1128*z**3 + 3240*z**2 = 0.
-6, -5, 0, 54
Let -2*b**3/21 + 178*b**2/21 + 68*b/7 - 720/7 = 0. What is b?
-4, 3, 90
Let m**3/2 + 97*m**2 - 1849*m/2 - 2233 = 0. Calculate m.
-203, -2, 11
Determine w so that -w**2 - 1664*w + 11697 = 0.
-1671, 7
Factor -2*i**3 + 6181*i**2 - 46252*i + 21581.
-(i - 3083)*(i - 7)*(2*i - 1)
Factor o**2/2 + 1544*o + 21567/2.
(o + 7)*(o + 3081)/2
Find c such that c**4 + 21*c**3 + 150*c**2 + 416*c + 384 = 0.
-8, -3, -2
Determine q so that -2*q**3 + 3322*q**2 - 13262*q + 9942 = 0.
1, 3, 1657
Factor 2*s**2/11 - 610*s/11 + 608/11.
2*(s - 304)*(s - 1)/11
What is b in 2*b**5 + 192*b**4 + 3250*b**3 - 64868*b**2 + 142968*b + 568400 = 0?
-58, -50, -2, 7
Suppose 50*m**3/13 - 356210*m**2/13 - 284992*m/13 - 57000/13 = 0. What is m?
-2/5, 7125
Find f such that 521645*f**2/2 - 30039*f + 8649/10 = 0.
93/1615
Factor -q**2/2 + 173638*q - 15075077522.
-(q - 173638)**2/2
Let -5*b**5/3 + 115*b**4 + 2585*b**3/3 + 1885*b**2 + 1140*b = 0. What is b?
-3, -1, 0, 76
Factor 4*x**3 + 6104*x**2 - 6116*x - 12216.
4*(x - 2)*(x + 1)*(x + 1527)
Factor -2*c**2/5 - 1138*c/5 - 2016.
-2*(c + 9)*(c + 560)/5
Solve -l**5 + 166*l**4 - 9130*l**3 + 168640*l**2 - 142069*l - 320006 = 0.
-1, 2, 43, 61
Factor -2*i**3/13 - 1142*i**2/13 + 18656*i/13 - 75136/13.
-2*(i - 8)**2*(i + 587)/13
Suppose -u**5 + 30*u**4 + 62*u**3 - 900*u**2 - 1861*u - 930 = 0. Calculate u.
-5, -1, 6, 31
Suppose a**5/9 - 31*a**4 + 28826*a**3/9 - 145132*a**2 + 2461992*a - 2320032 = 0. Calculate a.
1, 44, 78
Solve 36*f**4/7 + 66088*f**3/7 - 1616544*f**2/7 + 9998208*f/7 - 2142720/7 = 0.
-1860, 2/9, 12
Let n**4/4 + 22*n**3 + 501*n**2/4 + 371*n/2 + 82 = 0. Calculate n.
-82, -4, -1
Suppose 18*d**4/17 + 2958*d**3 + 83696*d**2/17 - 178664*d/17 + 67008/17 = 0. Calculate d.
-2792, -3, 2/3
Factor -2*x**3/11 + 318*x**2/11 - 1440*x + 252800/11.
-2*(x - 79)*(x - 40)**2/11
Solve -2*l**2/11 - 43144*l/11 - 232675592/11 = 0.
-10786
Solve 3*t**2/8 - 3850923*t/4 + 4943202650643/8 = 0 for t.
1283641
Let y**5/3 - 65*y**4/3 + 458*y**3 - 2976*y**2 - 3456*y = 0. Calculate y.
-1, 0, 18, 24
Solve 152*y**2 + 124500*y + 9828 = 0.
-819, -3/38
Suppose -9*l**5/4 + 645*l**4/2 + 8223*l**3/2 - 6579*l**2 - 29373*l/4 + 6045/2 = 0. Calculate l.
-13, -1, 1/3, 2, 155
Factor f**2 - 2378*f - 2379.
(f - 2379)*(f + 1)
Determine y so that 2*y**3 - 3230*y**2 = 0.
0, 1615
Factor 3*t**2 + 23223*t - 209250.
3*(t - 9)*(t + 7750)
What is j in j**3/4 - 97*j**2/4 + 191*j/4 - 95/4 = 0?
1, 95
Solve 3*o**3 + 27090*o**2 + 61155675*o = 0 for o.
-4515, 0
Factor 3*y**3 + 2226*y**2 + 34932*y + 60984.
3*(y + 2)*(y + 14)*(y + 726)
Factor 5*h**4 - 1635*h**3 + 15935*h**2 - 26985*h + 12680.
5*(h - 317)*(h - 8)*(h - 1)**2
Factor -2*t**2/7 + 14226*t - 199156/7.
-2*(t - 49789)*(t - 2)/7
Find d, given that 4*d**5 + 20*d**4 - 28*d**3 - 116*d**2 + 120*d = 0.
-5, -3, 0, 1, 2
What is z in -3*z**3 + 15*z**2 + 378*z = 0?
-9, 0, 14
Find m such that 162*m**4/5 - 2682*m**3/5 + 3644*m**2/5 + 2024*m/5 + 48 = 0.
-2/9, 2, 15
Solve -90*s**5 + 175*s**4 + 455*s**3 - 870*s**2 - 380*s + 680 = 0.
-2, -1, 17/18, 2
Let 4*u**2 + 24280*u + 36844900 = 0. Calculate u.
-3035
Let -5*j**3/4 + 15305*j**2 + 61235*j + 61240 = 0. Calculate j.
-2, 12248
Determine v so that -5*v**4 - 495*v**3 + 520*v**2 + 1980*v - 2000 = 0.
-100, -2, 1, 2
Suppose -147*f**4 + 4372578*