16*u**2/9 + 265000*u/9 + 88256/3 = 0.
-168, -2, 197
Factor a**3/3 - 2959*a**2/3 + 5909*a - 8859.
(a - 2953)*(a - 3)**2/3
Determine b, given that b**3 + 98*b**2 - 664*b - 4160 = 0.
-104, -4, 10
Let 2*h**5 + 582*h**4 + 2260*h**3 - 10548*h**2 - 62262*h - 77490 = 0. What is h?
-287, -3, 5
Find m such that 9*m**5/2 - 45321*m**4/4 + 7164888*m**3 - 166002981*m**2/4 + 56774340*m + 10648368 = 0.
-1/6, 3, 1256
Factor b**2/2 - 1407634*b + 990716738978.
(b - 1407634)**2/2
Factor 7*l**3 + 92*l**2 - 99*l.
l*(l - 1)*(7*l + 99)
Solve u**3/5 - 12567*u**2 + 251319*u/5 + 62831 = 0 for u.
-1, 5, 62831
Factor 2*v**2/5 + 39928*v/5 + 478848/5.
2*(v + 12)*(v + 19952)/5
Factor 2*v**2 + 3534*v - 3536.
2*(v - 1)*(v + 1768)
Factor 97*l**3 - 742*l**2 + 1193*l - 548.
(l - 1)**2*(97*l - 548)
Factor 2*v**4/17 + 38*v**3/17 - 40*v**2/17.
2*v**2*(v - 1)*(v + 20)/17
Factor h**2 + 28478*h + 202749121.
(h + 14239)**2
Determine f, given that 4*f**2/7 + 33912*f/7 + 4844 = 0.
-8477, -1
Determine y, given that 2*y**2/3 - 2854*y/3 - 5732 = 0.
-6, 1433
Factor -j**2/4 + 379*j + 26103.
-(j - 1582)*(j + 66)/4
Suppose -4*l**4 + 640*l**3 + 9748*l**2 - 640*l - 9744 = 0. What is l?
-14, -1, 1, 174
Factor 2*m**3/15 - 4574*m**2/15 + 63154*m/5 - 132006.
2*(m - 2245)*(m - 21)**2/15
Let 5*k**5 + 645*k**4 - 23400*k**3 + 221060*k**2 - 470400*k = 0. What is k?
-160, 0, 3, 14
Factor -4*k**2 - 6684*k + 20088.
-4*(k - 3)*(k + 1674)
Factor -2*y**2/7 + 205306*y/7 - 615900/7.
-2*(y - 102650)*(y - 3)/7
Find d such that 4*d**4 - 3020*d**3 + 126884*d**2 - 1238596*d - 3008952 = 0.
-2, 23, 711
Determine f so that -3*f**3 + 7737*f**2 + 77595*f + 194175 = 0.
-5, 2589
Factor -2*r**3/7 + 54*r**2 + 50220*r/7.
-2*r*(r - 279)*(r + 90)/7
Factor 5*n**3 - 206085*n**2 - 2473560*n - 7421220.
5*(n - 41229)*(n + 6)**2
Factor c**4/7 + 8*c**3 + 23*c**2 + 106*c/7.
c*(c + 1)*(c + 2)*(c + 53)/7
Let -3*u**3/7 - 20646*u**2/7 - 20625*u = 0. Calculate u.
-6875, -7, 0
Suppose -2*c**2/3 - 508820*c/3 + 508822/3 = 0. Calculate c.
-254411, 1
Determine a, given that -279*a**4 - 3067*a**3 + 18157*a**2 + 20795*a - 150 = 0.
-15, -1, 2/279, 5
Factor -18*g**3/7 - 312378*g**2/7 + 208258*g/7 - 34710/7.
-2*(g + 17355)*(3*g - 1)**2/7
Determine q so that 2*q**4 + 36420*q**3 + 221069400*q**2 + 447297086000*q = 0.
-6070, 0
Factor -z**2/2 + 267*z + 9367/2.
-(z - 551)*(z + 17)/2
Factor 4*s**4 - 31340*s**3 + 61308800*s**2 + 307328000*s.
4*s*(s - 3920)**2*(s + 5)
Factor -5*w**3 - 37920*w**2 + 37925*w.
-5*w*(w - 1)*(w + 7585)
Factor -3*y**2 + 43104*y - 154829568.
-3*(y - 7184)**2
Factor v**5 + 11900*v**4 + 35414398*v**3 + 70793100*v**2 + 35390601*v.
v*(v + 1)**2*(v + 5949)**2
Suppose -g**2 - 4532*g - 99220 = 0. What is g?
-4510, -22
Determine d, given that 2*d**2 - 848*d + 36096 = 0.
48, 376
Suppose -2*a**4/3 - 530*a**3/3 - 3530*a**2/3 + 7030*a - 5676 = 0. What is a?
-258, -11, 1, 3
Find y such that -3*y**2 + 64038*y - 64035 = 0.
1, 21345
Solve -5656*y**3/9 + 3770*y**2/3 - 628*y - 2/9 = 0.
-1/2828, 1
Factor 3*q**2/4 + 22626*q + 45249.
3*(q + 2)*(q + 30166)/4
What is c in -4*c**4/3 + 22840*c**3/3 - 10852796*c**2 - 130507760*c/3 - 130599184/3 = 0?
-2, 2857
Determine s, given that -4*s**3 + 10096*s**2 + 40432*s + 40448 = 0.
-2, 2528
Solve -2*v**3/7 + 2942*v**2/7 - 20460*v/7 - 52704/7 = 0 for v.
-2, 9, 1464
Suppose -3*c**5 - 51576*c**4 - 295650756*c**3 - 565578761946*c**2 - 2818738174521*c + 3384612638802 = 0. Calculate c.
-5729, -6, 1
Solve z**2 - 5631*z - 11266 = 0.
-2, 5633
Let b**2/5 + 2393*b/5 + 1434 = 0. Calculate b.
-2390, -3
Solve -x**3/3 - 2089*x**2/3 + 4190*x/3 + 5576 = 0 for x.
-2091, -2, 4
Suppose s**3/8 - 4549*s**2/4 - 18199*s/8 - 2275/2 = 0. Calculate s.
-1, 9100
Find a such that -15606*a**5 + 146200*a**4 - 292678*a**3 - 235076*a**2 - 29640*a + 3600 = 0.
-6/17, 2/27, 5
Factor -4*x**2 + 3880*x - 38400.
-4*(x - 960)*(x - 10)
Factor g**4/4 - 26*g**3 + 521*g**2/2 - 444*g + 837/4.
(g - 93)*(g - 9)*(g - 1)**2/4
Factor 3*o**3/5 - 69*o**2/5 - 5814*o/5.
3*o*(o - 57)*(o + 34)/5
Factor -5*p**3 + 4675*p**2 + 32940*p + 28260.
-5*(p - 942)*(p + 1)*(p + 6)
What is g in -2*g**4 - 770*g**3/3 + 2090*g**2/3 - 790*g/3 - 524/3 = 0?
-131, -1/3, 1, 2
Solve -2*i**3 + 13870*i**2 - 24054046*i + 24040178 = 0 for i.
1, 3467
Factor k**2 + 2180*k + 1188100.
(k + 1090)**2
Solve 5*k**3 - 5400*k**2 - 5*k + 5400 = 0.
-1, 1, 1080
Factor -3*q**2 - 13209594*q - 14541114470403.
-3*(q + 2201599)**2
Factor -5*u**4/2 + 7345*u**3/2 + 44310*u**2 + 177560*u + 236960.
-5*(u - 1481)*(u + 4)**3/2
Factor a**3/2 - 346*a**2 + 4109*a/2 + 2401.
(a - 686)*(a - 7)*(a + 1)/2
Suppose 35*q**5 + 23955*q**4 + 5347180*q**3 + 386679980*q**2 + 161695920*q - 219660800 = 0. What is q?
-262, -160, -1, 4/7
Determine b so that -2*b**2/13 - 579724*b/13 + 579726/13 = 0.
-289863, 1
Solve 5*b**5 + 1090*b**4 + 80140*b**3 + 2237720*b**2 + 19044480*b - 47698560 = 0 for b.
-84, -26, 2
Determine l, given that 3*l**4/4 - 216*l**3 + 1287*l**2/2 - 642*l + 855/4 = 0.
1, 285
Factor a**3/5 - 370871*a**2/5 + 34386139224*a/5 + 34386510096/5.
(a - 185436)**2*(a + 1)/5
Factor 3*x**4 + 36*x**3 - 1020*x**2 + 1872*x.
3*x*(x - 12)*(x - 2)*(x + 26)
Let 3*s**3/5 + 123*s**2/5 - 2427*s/5 - 106227/5 = 0. What is s?
-37, -33, 29
Factor -3*i**2/7 + 1149*i/7 + 718434/7.
-3*(i - 717)*(i + 334)/7
Suppose -2*g**2 + 2808*g - 127558 = 0. Calculate g.
47, 1357
Determine d so that -2*d**4/3 + 24952*d**3/3 - 16632*d**2 = 0.
0, 2, 12474
Factor i**4 - 36*i**3 + 353*i**2 - 570*i.
i*(i - 19)*(i - 15)*(i - 2)
Determine f so that -3*f**5/2 + 159*f**4/2 + 1191*f**3 - 27027*f**2 - 121419*f/2 + 172935/2 = 0.
-21, -3, 1, 15, 61
Let -n**4/3 - 34*n**3/3 - 263*n**2/3 + 850*n/3 + 2400 = 0. Calculate n.
-18, -16, -5, 5
Find g such that -31*g**4/5 - 2137*g**3/5 + 474*g**2 + 4196*g/5 - 56 = 0.
-70, -1, 2/31, 2
Factor 98*s**3/3 + 3122*s**2/3 + 874*s + 186.
2*(s + 31)*(7*s + 3)**2/3
Solve 4*c**2 + 5068*c + 5064 = 0.
-1266, -1
What is z in z**4/5 + 738*z**3/5 + 133929*z**2/5 - 823608*z/5 + 1245456/5 = 0?
-372, 3
Factor -v**2/3 + 3062*v/3 + 38221.
-(v - 3099)*(v + 37)/3
Solve -z**2/6 - 4450*z - 29703750 = 0.
-13350
Solve 5*o**2 - 5868530*o + 1721982218045 = 0.
586853
Suppose -2*t**4/9 + 164*t**3 - 1466*t**2/9 - 656*t + 5896/9 = 0. What is t?
-2, 1, 2, 737
Factor z**3/4 + 19469*z**2/4 + 4867*z.
z*(z + 1)*(z + 19468)/4
Factor 2*g**2 + 916*g - 264918.
2*(g - 201)*(g + 659)
Factor 2*g**3/3 - 1330*g**2/3 - 5344*g/3 - 1784.
2*(g - 669)*(g + 2)**2/3
Find a such that 3*a**4/5 - 198*a**3/5 - 1053*a**2/5 - 852*a/5 = 0.
-4, -1, 0, 71
Factor 2*r**2/17 - 838152*r/17.
2*r*(r - 419076)/17
Factor -50*g**4/9 - 32480*g**3/9 - 5235632*g**2/9 + 4235392*g/3 - 850208.
-2*(g + 326)**2*(5*g - 6)**2/9
Determine x so that 5*x**3 + 840*x**2 - 20340*x + 106400 = 0.
-190, 8, 14
Determine k so that 2*k**4 - 878*k**3/7 - 1454*k**2 - 3454*k - 14892/7 = 0.
-51/7, -2, -1, 73
Factor -2*m**3/21 + 25370*m**2/21 + 101504*m/21 + 101512/21.
-2*(m - 12689)*(m + 2)**2/21
Factor 4*j**2/7 + 421800*j/7 + 11119702500/7.
4*(j + 52725)**2/7
Solve -2*q**4/5 - 64*q**3 + 16652*q**2/5 + 34256*q/5 + 17286/5 = 0.
-201, -1, 43
Suppose 2*b**2/7 - 5638*b/7 - 7272 = 0. What is b?
-9, 2828
Factor -3*c**4 + 318*c**3 + 1311*c**2 + 990*c.
-3*c*(c - 110)*(c + 1)*(c + 3)
Factor -3*u**3 - 17553*u**2 - 25684425*u - 25666875.
-3*(u + 1)*(u + 2925)**2
Solve 4*s**2/5 + 15324*s/5 + 151240 = 0 for s.
-3781, -50
Suppose v**5 + 753*v**4 - 13048*v**3 + 32344*v**2 + 3024*v - 43120 = 0. Calculate v.
-770, -1, 2, 14
Solve 5*n**2/3 + 90*n - 431480/3 = 0.
-322, 268
Factor -b**2 - 66182*b.
-b*(b + 66182)
Factor -3*c**3/4 + 495*c**2/4 + 909*c - 1032.
-3*(c - 172)*(c - 1)*(c + 8)/4
Determine d, given that d**3/2 - 63189*d**2 + 126377*d/2 = 0.
0, 1, 126377
Let 6*p**3/7 + 682*p**2 - 223620*p/7 - 21600 = 0. What is p?
-840, -2/3, 45
Factor 3*x**2 + 4161*x - 58842.
3*(x - 14)*(x + 1401)
Suppose 3*f**2/4 - 4992*f + 59796 = 0. What is f?
12, 6644
Factor 2*t**3/11 - 8620*t**2/11 + 9331000*t/11 - 92450000/11.
2*(t - 2150)**2*(t - 10)/11
Factor -5*q**4 + 5*q**3 + 180*q**2 - 180*q.
-5*q*(q - 6)*(q - 1)*(q + 6)
Determine u, given that -16*u**5/3 + 9212*u**4/3 - 1748464*u**3/3 + 105610496*u**2/3 + 714782912*u/3 + 992988224/3 = 0.
-17/4, -2, 194
Let -51*w**3 + 2251*w**2 + 9396*w + 2880 = 0. What is w?
-60/17, -1/3, 48
Factor 5*z**4 - 68255*z**3 - 68260*z**2.
5